{"config": "fp16", "model": "Qwen/Qwen2.5-7B-Instruct", "n_items": 200, "seed": 20260726, "gsm8k": {"wall_s": 11.600528748000215, "gen_tokens": 55704, "tok_per_s": 4801.850088911048, "items": [{"id": "gsm8k-207", "gold": "2600", "pred_text": "To determine the total weight of Joe's bag of Halloween candy, we need to follow these steps:\n\n1. **Determine the weight of each candied apple:**\n   - We know that each chocolate bar weighs 40g and that each chocolate bar weighs twice as much as each candied apple.\n   - Therefore, the weight of each candied apple is \\( \\frac{40g}{2} = 20g \\).\n\n2. **Calculate the total weight of the chocolate bars:**\n   - Joe has 25 chocolate bars, and each chocolate bar weighs 40g.\n   - The total weight of the chocolate bars is \\( 25 \\times 40g = 1000g \\).\n\n3. **Calculate the total weight of the candied apples:**\n   - Joe has 80 candied apples, and each candied apple weighs 20g.\n   - The total weight of the candied apples is \\( 80 \\times 20g = 1600g \\).\n\n4. **Calculate the total weight of the bag of candy:**\n   - The total weight is the sum of the weight of the chocolate bars and the weight of the candied apples.\n   - Therefore, the total weight is \\( 1000g + 1600g = 2600g \\).\n\n#### 2600", "score": 1.0}, {"id": "gsm8k-883", "gold": "25", "pred_text": "Let's denote the usual length of Elaina's concerts as \\( x \\) minutes.\n\nAccording to the problem, the final concert is twice as long as her usual concerts, plus a 15-minute encore. The total runtime of the final concert is given as 65 minutes. We can set up the following equation to represent this situation:\n\n\\[ 2x + 15 = 65 \\]\n\nTo find \\( x \\), we need to solve this equation step by step.\n\n1. Subtract 15 from both sides of the equation to isolate the term with \\( x \\):\n\n\\[ 2x + 15 - 15 = 65 - 15 \\]\n\\[ 2x = 50 \\]\n\n2. Divide both sides by 2 to solve for \\( x \\):\n\n\\[ \\frac{2x}{2} = \\frac{50}{2} \\]\n\\[ x = 25 \\]\n\nSo, the usual length of Elaina's concerts is 25 minutes.\n\n#### 25", "score": 1.0}, {"id": "gsm8k-740", "gold": "25", "pred_text": "Let's break down the problem step by step.\n\n1. **Total number of students**: 50\n\n2. **Students who like to bake**: 10\n\n3. **Students who like to play basketball**: 5\n\n4. **Students who like to play music or play video games**: \n   - First, we need to find out how many students are left after accounting for those who like to bake and play basketball.\n   - Total students - Students who like to bake - Students who like to play basketball\n   - \\(50 - 10 - 5 = 35\\)\n\n5. **Students who like to play music**: \n   - According to the problem, the number of students who like to play music is twice the number that prefer playing basketball.\n   - Number of students who like to play basketball = 5\n   - Therefore, the number of students who like to play music = \\(2 \\times 5 = 10\\)\n\n6. **Students who like to play video games**: \n   - The rest of the students who like to play music or play video games are those who like to play video games.\n   - Total students who like to play music or play video games = 35\n   - Students who like to play music = 10\n   - Therefore, students who like to play video games = \\(35 - 10 = 25\\)\n\n#### 25", "score": 1.0}, {"id": "gsm8k-1306", "gold": "2", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of test tubes Igor gathered:**\n   - Dr. Grumpus requested 16 test tubes.\n   - Igor gathered half as many test tubes as requested.\n   - Therefore, Igor gathered \\( \\frac{16}{2} = 8 \\) test tubes.\n\n2. **Determine the number of Petri dishes Igor gathered:**\n   - Dr. Grumpus requested 14 Petri dishes.\n   - Igor gathered two more than the number of Petri dishes requested.\n   - Therefore, Igor gathered \\( 14 + 2 = 16 \\) Petri dishes.\n\n3. **Determine the number of beakers Igor gathered:**\n   - Dr. Grumpus requested 7 beakers.\n   - Let \\( x \\) be the number of beakers Igor gathered.\n   - Since Igor lost some beakers, the number of beakers on the lab bench is \\( x - \\text{number of beakers lost} \\).\n\n4. **Set up the equation for the total number of items on the lab bench:**\n   - The total number of items on the lab bench is 29.\n   - The total number of items is the sum of the test tubes, beakers, and Petri dishes.\n   - Therefore, the equation is:\n     \\[\n     8 \\text{ (test tubes)} + (x - \\text{number of beakers lost}) \\text{ (beakers)} + 16 \\text{ (Petri dishes)} = 29\n     \\]\n\n5. **Simplify the equation:**\n   - Combine the known quantities:\n     \\[\n     8 + 16 + (x - \\text{number of beakers lost}) = 29\n     \\]\n     \\[\n     24 + (x - \\text{number of beakers lost}) = 29\n     \\]\n\n6. **Solve for the number of beakers lost:**\n   - Subtract 24 from both sides of the equation:\n     \\[\n     x - \\text{number of beakers lost} = 5\n     \\]\n   - Since \\( x \\) (the number of beakers gathered) is 7 (as requested by Dr. Grumpus):\n     \\[\n     7 - \\text{number of beakers lost} = 5\n     \\]\n  ", "score": 0.0}, {"id": "gsm8k-455", "gold": "1920", "pred_text": "To determine the cost of the potting soil, we need to follow these steps:\n\n1. **Calculate the volume of one raised bed:**\n   - Each raised bed is 2 feet wide by 8 feet long by 2 feet tall.\n   - Volume of one raised bed = width × length × height\n   - Volume of one raised bed = 2 ft × 8 ft × 2 ft = 32 cubic feet\n\n2. **Calculate the total volume of all 10 raised beds:**\n   - Total volume = volume of one raised bed × number of raised beds\n   - Total volume = 32 cubic feet/bed × 10 beds = 320 cubic feet\n\n3. **Determine the number of bags of potting soil needed:**\n   - Each bag holds 2 cubic feet of soil.\n   - Number of bags needed = total volume / volume per bag\n   - Number of bags needed = 320 cubic feet / 2 cubic feet/bag = 160 bags\n\n4. **Calculate the total cost of the potting soil:**\n   - Each bag costs $12.\n   - Total cost = number of bags × cost per bag\n   - Total cost = 160 bags × $12/bag = $1920\n\n#### 1920", "score": 1.0}, {"id": "gsm8k-1285", "gold": "1218", "pred_text": "To determine how many meals Mamou has left to distribute, we need to follow these steps:\n\n1. **Calculate the total number of meals distributed so far:**\n   - Meals given out on Friday: 64\n   - Meals given out on Saturday: 30\n   - Meals given out on Sunday: 48\n\n2. **Add these amounts together to find the total number of meals distributed:**\n   \\[\n   64 + 30 + 48\n   \\]\n\n3. **Perform the addition:**\n   - First, add 64 and 30:\n     \\[\n     64 + 30 = 94\n     \\]\n   - Next, add the result to 48:\n     \\[\n     94 + 48 = 142\n     \\]\n\n4. **Subtract the total number of meals distributed from the initial number of meals:**\n   - Initial number of meals: 1,360\n   - Total meals distributed: 142\n   \\[\n   1360 - 142\n   \\]\n\n5. **Perform the subtraction:**\n   \\[\n   1360 - 142 = 1218\n   \\]\n\n#### 1218", "score": 1.0}, {"id": "gsm8k-372", "gold": "5", "pred_text": "Let's break down the problem step by step to find out how many hours Hallie had dance practice in a week.\n\n1. **Tuesday's Practice:**\n   - Hallie had dance practice for 1 hour on Tuesdays.\n\n2. **Thursday's Practice:**\n   - Hallie had dance practice for 2 hours on Thursdays.\n\n3. **Saturday's Practice:**\n   - The practice on Saturdays lasted twice as long as the Tuesday's practice.\n   - Since Tuesday's practice was 1 hour, Saturday's practice would be \\(2 \\times 1 = 2\\) hours.\n\n4. **Total Weekly Practice:**\n   - To find the total number of hours Hallie had dance practice in a week, we add up the hours from each day:\n     \\[\n     \\text{Total hours} = \\text{Tuesday's hours} + \\text{Thursday's hours} + \\text{Saturday's hours}\n     \\]\n     \\[\n     \\text{Total hours} = 1 + 2 + 2 = 5\n     \\]\n\n#### 5", "score": 1.0}, {"id": "gsm8k-547", "gold": "81", "pred_text": "To determine how many families will be notified during the fourth round of calls, we need to understand the pattern of the phone tree. Let's break it down step by step.\n\n1. **First Round:**\n   - Ali calls 3 families.\n   - Number of families notified in the first round: \\(3\\).\n\n2. **Second Round:**\n   - Each of the 3 families from the first round calls 3 other families.\n   - Number of families notified in the second round: \\(3 \\times 3 = 9\\).\n\n3. **Third Round:**\n   - Each of the 9 families from the second round calls 3 other families.\n   - Number of families notified in the third round: \\(9 \\times 3 = 27\\).\n\n4. **Fourth Round:**\n   - Each of the 27 families from the third round calls 3 other families.\n   - Number of families notified in the fourth round: \\(27 \\times 3 = 81\\).\n\nThus, the number of families notified during the fourth round of calls is \\(81\\).\n\n#### 81", "score": 1.0}, {"id": "gsm8k-130", "gold": "30", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial number of elves hired**: Nissa hires 60 elves.\n\n2. **First group of elves quitting**: A third of the elves quit after children vomit on them.\n   - Calculate a third of 60: \\( \\frac{60}{3} = 20 \\)\n   - So, 20 elves quit.\n\n3. **Number of elves remaining after the first group quits**:\n   - Subtract the 20 elves who quit from the initial 60: \\( 60 - 20 = 40 \\)\n\n4. **Second group of elves quitting**: 10 of the remaining elves quit after kids kick their shins.\n   - Subtract the 10 elves who quit from the remaining 40: \\( 40 - 10 = 30 \\)\n\n#### 30", "score": 1.0}, {"id": "gsm8k-973", "gold": "79", "pred_text": "Let's denote the number of states in the USA as \\( S \\).\n\nAccording to the problem, India has 4 more than half the number of states in the USA. This can be expressed as:\n\\[ \\text{Number of states in India} = \\frac{S}{2} + 4 \\]\n\nThe total number of states in both countries together is the sum of the states in the USA and the states in India:\n\\[ \\text{Total number of states} = S + \\left( \\frac{S}{2} + 4 \\right) \\]\n\nSimplifying the expression:\n\\[ \\text{Total number of states} = S + \\frac{S}{2} + 4 \\]\n\\[ \\text{Total number of states} = \\frac{2S}{2} + \\frac{S}{2} + 4 \\]\n\\[ \\text{Total number of states} = \\frac{3S}{2} + 4 \\]\n\nWe know that the USA has 50 states, so \\( S = 50 \\). Substituting this value into the equation:\n\\[ \\text{Total number of states} = \\frac{3 \\times 50}{2} + 4 \\]\n\\[ \\text{Total number of states} = \\frac{150}{2} + 4 \\]\n\\[ \\text{Total number of states} = 75 + 4 \\]\n\\[ \\text{Total number of states} = 79 \\]\n\n#### 79", "score": 1.0}, {"id": "gsm8k-730", "gold": "8", "pred_text": "To determine how many packs of gum Parker will need to last him 30 days, we can follow these steps:\n\n1. **Calculate the total number of pieces of gum Parker will need for 30 days:**\n   - Parker chews 4 pieces of gum per day.\n   - For 30 days, he will need \\(4 \\text{ pieces/day} \\times 30 \\text{ days} = 120 \\text{ pieces}\\).\n\n2. **Determine how many packs of gum are needed:**\n   - Each pack contains 15 pieces of gum.\n   - To find out how many packs are needed, we divide the total number of pieces by the number of pieces per pack: \\(120 \\text{ pieces} \\div 15 \\text{ pieces/pack} = 8 \\text{ packs}\\).\n\nTherefore, Parker will need 8 packs of gum to last him 30 days. \n\n#### 8", "score": 1.0}, {"id": "gsm8k-182", "gold": "23", "pred_text": "Let's break down the problem step by step.\n\n1. **Identify the given information:**\n   - Jean is two years older than Mark.\n   - Two years ago, Mark was 5 years older than half of Jan's age.\n   - Jan is currently 30 years old.\n\n2. **Determine Jan's age two years ago:**\n   - Jan's current age = 30 years.\n   - Jan's age two years ago = 30 - 2 = 28 years.\n\n3. **Express Mark's age two years ago in terms of Jan's age:**\n   - Two years ago, Mark was 5 years older than half of Jan's age.\n   - Half of Jan's age two years ago = 28 / 2 = 14 years.\n   - Therefore, Mark's age two years ago = 14 + 5 = 19 years.\n\n4. **Determine Mark's current age:**\n   - Mark's age two years ago = 19 years.\n   - Mark's current age = 19 + 2 = 21 years.\n\n5. **Determine Jean's current age:**\n   - Jean is two years older than Mark.\n   - Jean's current age = 21 + 2 = 23 years.\n\n#### 23", "score": 1.0}, {"id": "gsm8k-1030", "gold": "24", "pred_text": "To determine the percentage chance that Marcus will actually have to turn in his homework tomorrow, we need to consider the probabilities of each scenario where he does not get an extension. We will calculate the probability of each scenario and then sum these probabilities.\n\n1. **Probability of having a substitute teacher who won't collect the homework:**\n   - There's a 50% chance of this happening.\n   - If this happens, Marcus doesn't have to turn in his homework.\n\n2. **Probability of the normal teacher coming in and giving everyone an extension:**\n   - There's a 50% chance the normal teacher comes in.\n   - Out of these 50%, there's a 40% chance she gives everyone an extension.\n   - Therefore, the combined probability of the normal teacher coming in and giving an extension is \\(50\\% \\times 40\\% = 0.5 \\times 0.4 = 0.20\\) or 20%.\n\n3. **Probability of the normal teacher coming in and not giving an extension, but Marcus still gets an extension:**\n   - There's a 50% chance the normal teacher comes in.\n   - Out of these 50%, there's a 60% chance she does not give an extension.\n   - Out of the 60% of the time she does not give an extension, there's a 20% chance Marcus convinces the teacher for a personal extension.\n   - Therefore, the combined probability of the normal teacher not giving an extension but Marcus getting a personal extension is \\(50\\% \\times 60\\% \\times 20\\% = 0.5 \\times 0.6 \\times 0.2 = 0.06\\) or 6%.\n\nNow, we sum the probabilities of the scenarios where Marcus does not have to turn in his homework:\n- Probability of having a substitute teacher: 50%\n- Probability of the normal teacher giving an extension: 20%\n- Probability of the normal teacher not giving an extension but Marcus getting a personal extension: 6%\n\nAdding these probabilities together:\n\\[50\\% + 20\\% + 6\\% = 76\\%\\]\n\nTherefore, the percentage chance that Marcus will actually have to turn in his homework tomorrow is \\(100\\% - 76\\% = 24\\%\\).\n\n#### 24", "score": 1.0}, {"id": "gsm8k-271", "gold": "20", "pred_text": "Let's break down the problem step by step to find the total number of windows between the houses.\n\n1. **Calculate the number of windows in the bedrooms:**\n   - John has 2 houses.\n   - Each house has 3 bedrooms.\n   - Each bedroom has 2 windows.\n   - Therefore, the number of windows in the bedrooms of one house is \\(3 \\text{ bedrooms} \\times 2 \\text{ windows/bedroom} = 6 \\text{ windows}\\).\n   - Since there are 2 houses, the total number of windows in the bedrooms of both houses is \\(2 \\text{ houses} \\times 6 \\text{ windows/house} = 12 \\text{ windows}\\).\n\n2. **Calculate the number of additional windows in each house:**\n   - Each house has 4 additional windows not connected to bedrooms.\n   - Since there are 2 houses, the total number of additional windows is \\(2 \\text{ houses} \\times 4 \\text{ windows/house} = 8 \\text{ windows}\\).\n\n3. **Calculate the total number of windows:**\n   - Add the number of windows in the bedrooms to the number of additional windows.\n   - Total windows = \\(12 \\text{ windows (bedrooms)} + 8 \\text{ windows (additional)} = 20 \\text{ windows}\\).\n\n#### 20", "score": 1.0}, {"id": "gsm8k-827", "gold": "11", "pred_text": "To determine how much money Milly will lose, we need to calculate the cost of shipping the book and the refund Milly will receive for the book. Let's break it down step by step.\n\n1. **Calculate the shipping cost:**\n   - The book weighs 4 pounds.\n   - The shipping company charges $0.35 per pound.\n   - The book needs to be returned 20 miles.\n   - The shipping company charges $0.08 per mile.\n\n   First, calculate the cost based on weight:\n   \\[\n   \\text{Cost per pound} = 0.35 \\text{ dollars/pound}\n   \\]\n   \\[\n   \\text{Total cost for weight} = 4 \\text{ pounds} \\times 0.35 \\text{ dollars/pound} = 1.40 \\text{ dollars}\n   \\]\n\n   Next, calculate the cost based on distance:\n   \\[\n   \\text{Cost per mile} = 0.08 \\text{ dollars/mile}\n   \\]\n   \\[\n   \\text{Total cost for distance} = 20 \\text{ miles} \\times 0.08 \\text{ dollars/mile} = 1.60 \\text{ dollars}\n   \\]\n\n   Add the two costs together to get the total shipping cost:\n   \\[\n   \\text{Total shipping cost} = 1.40 \\text{ dollars} + 1.60 \\text{ dollars} = 3.00 \\text{ dollars}\n   \\]\n\n2. **Calculate the refund Milly will receive:**\n   - The book cost $32.\n   - Amazon will refund 75% of the book's purchase price.\n\n   Calculate 75% of $32:\n   \\[\n   \\text{Refund} = 0.75 \\times 32 = 24 \\text{ dollars}\n   \\]\n\n3. **Calculate the net loss:**\n   - Milly paid $32 for the book.\n   - She will receive a refund of $24.\n   - She will also incur a shipping cost of $3.00.\n\n   Calculate the net loss:\n   \\[\n   \\text{Net loss} = \\text{Cost of book} - \\text{Refund} + \\text{Shipping cost}\n   \\]\n   \\[\n   \\text{Net loss} =", "score": 0.0}, {"id": "gsm8k-1161", "gold": "170", "pred_text": "Let's break down the problem step by step.\n\n1. **Initial Land and First Sale:**\n   - Abraham owns 80 square meters of land.\n   - He sold half of the land for $50.\n   - Half of 80 square meters is \\( \\frac{80}{2} = 40 \\) square meters.\n   - Therefore, the first sale involved 40 square meters of land.\n\n2. **Second Sale:**\n   - After the first sale, Abraham has \\( 80 - 40 = 40 \\) square meters left.\n   - He then sold another 1/4 of his remaining land for $30.\n   - 1/4 of 40 square meters is \\( \\frac{40}{4} = 10 \\) square meters.\n   - Therefore, the second sale involved 10 square meters of land.\n\n3. **Remaining Land:**\n   - After the second sale, Abraham has \\( 40 - 10 = 30 \\) square meters of land left.\n   - He then sold the remaining 30 square meters for $3 per square meter.\n   - The money earned from selling the remaining land is \\( 30 \\times 3 = 90 \\) dollars.\n\n4. **Total Earnings:**\n   - The total money earned from all sales is the sum of the money from the first sale, the second sale, and the sale of the remaining land.\n   - Total earnings = $50 (from the first sale) + $30 (from the second sale) + $90 (from the remaining land) = $170.\n\n#### 170", "score": 1.0}, {"id": "gsm8k-109", "gold": "28", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the cost of 10 gallons of gas without any cashback:**\n   - The price per gallon is $3.00.\n   - For 10 gallons, the total cost would be \\(10 \\times 3.00 = 30.00\\) dollars.\n\n2. **Calculate the cashback for 10 gallons:**\n   - The cashback is $0.20 per gallon.\n   - For 10 gallons, the total cashback would be \\(10 \\times 0.20 = 2.00\\) dollars.\n\n3. **Subtract the cashback from the total cost:**\n   - The total cost before cashback is $30.00.\n   - After applying the cashback of $2.00, the final cost would be \\(30.00 - 2.00 = 28.00\\) dollars.\n\n#### 28.00", "score": 1.0}, {"id": "gsm8k-1070", "gold": "18", "pred_text": "To solve this problem, let's break it down step by step:\n\n1. **Determine the amount of butter needed:**\n   - Dennis uses 1 pound of butter for every dozen croissants.\n   - He needs to make 6 dozen croissants.\n   - Therefore, he needs \\(6 \\times 1 = 6\\) pounds of butter.\n\n2. **Understand the promotion:**\n   - The promotion is \"buy one pound of butter, get one half off.\"\n   - This means for every pound of butter purchased, he gets an additional half pound at half the price.\n\n3. **Calculate the effective cost per pound:**\n   - Normally, butter costs $4.00 per pound.\n   - With the promotion, for every pound purchased, he gets an additional half pound at $2.00 (half of $4.00).\n   - Therefore, for every pound of butter he buys, he effectively gets 1.5 pounds of butter.\n\n4. **Determine how many pounds he needs to buy to get 6 pounds of butter:**\n   - Since he gets 1.5 pounds for every pound he buys, we need to find out how many pounds he needs to buy to get 6 pounds of butter.\n   - Let \\(x\\) be the number of pounds he needs to buy.\n   - The equation is \\(1.5x = 6\\).\n   - Solving for \\(x\\), we get \\(x = \\frac{6}{1.5} = 4\\).\n\n5. **Calculate the total cost:**\n   - He needs to buy 4 pounds of butter.\n   - Each pound costs $4.00.\n   - Therefore, the total cost is \\(4 \\times 4 = 16\\).\n\n#### 16", "score": 0.0}, {"id": "gsm8k-157", "gold": "80", "pred_text": "To determine how much farther the winner runs than the loser, we need to calculate the total distance each person runs and then find the difference between these distances.\n\n**Step 1: Calculate the distance Blake runs.**\n- The football field is 100 yards long.\n- Blake runs back and forth 15 times.\n- Each round trip is \\(100 \\text{ yards} \\times 2 = 200 \\text{ yards}\\).\n- Total distance Blake runs: \\(200 \\text{ yards} \\times 15 = 3000 \\text{ yards}\\).\n\n**Step 2: Calculate the distance Kelly runs.**\n- Kelly runs back and forth to the 40-yard line and back 34 times.\n- The distance to the 40-yard line and back is \\(40 \\text{ yards} \\times 2 = 80 \\text{ yards}\\).\n- Total distance Kelly runs: \\(80 \\text{ yards} \\times 34 = 2720 \\text{ yards}\\).\n\n**Step 3: Determine the winner and the difference in distance.**\n- Blake runs 3000 yards.\n- Kelly runs 2720 yards.\n- The difference in distance: \\(3000 \\text{ yards} - 2720 \\text{ yards} = 280 \\text{ yards}\\).\n\nThus, the winner (Blake) runs 280 yards farther than the loser (Kelly).\n\n#### 280", "score": 0.0}, {"id": "gsm8k-307", "gold": "16", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine Joey's weekly weight loss:**\n   - Joey loses 8 pounds in 4 weeks.\n   - To find Joey's weekly weight loss, we divide the total weight loss by the number of weeks:\n     \\[\n     \\text{Joey's weekly weight loss} = \\frac{8 \\text{ pounds}}{4 \\text{ weeks}} = 2 \\text{ pounds per week}\n     \\]\n\n2. **Determine Sandy's weight loss rate:**\n   - Sandy needs 4 weeks to lose the same amount of weight that Joey loses in 1 week.\n   - Since Joey loses 2 pounds in 1 week, Sandy needs 4 weeks to lose 2 pounds.\n   - To find Sandy's weekly weight loss, we divide the total weight loss by the number of weeks:\n     \\[\n     \\text{Sandy's weekly weight loss} = \\frac{2 \\text{ pounds}}{4 \\text{ weeks}} = 0.5 \\text{ pounds per week}\n     \\]\n\n3. **Calculate the number of weeks it takes Sandy to lose 8 pounds:**\n   - We know Sandy loses 0.5 pounds per week.\n   - To find out how many weeks it takes for Sandy to lose 8 pounds, we divide the total weight loss by the weekly weight loss:\n     \\[\n     \\text{Number of weeks for Sandy} = \\frac{8 \\text{ pounds}}{0.5 \\text{ pounds per week}} = 16 \\text{ weeks}\n     \\]\n\n#### 16", "score": 1.0}, {"id": "gsm8k-369", "gold": "1198", "pred_text": "Let's break down the costs step by step:\n\n1. **Cost of picture frames for all seniors:**\n   - Each senior receives a picture frame that costs $20.\n   - There are 44 seniors.\n   - Total cost for picture frames = 44 * $20 = $880.\n\n2. **Cost of etching the picture frames:**\n   - Each picture frame needs to be etched, which adds an additional 20% cost.\n   - 20% of $20 = 0.20 * $20 = $4.\n   - Total cost for etching = 44 * $4 = $176.\n\n3. **Cost of pins for 2 seniors:**\n   - Each pin costs $5.\n   - There are 2 seniors who will receive pins.\n   - Total cost for pins = 2 * $5 = $10.\n\n4. **Cost of cords for officers:**\n   - 1/4 of the seniors are officers.\n   - Number of officers = 44 * 1/4 = 11.\n   - Each cord costs $12.\n   - Total cost for cords = 11 * $12 = $132.\n\n5. **Total cost:**\n   - Sum of all the costs calculated above.\n   - Total cost = Cost of picture frames + Cost of etching + Cost of pins + Cost of cords\n   - Total cost = $880 + $176 + $10 + $132 = $1198.\n\n#### 1198", "score": 1.0}, {"id": "gsm8k-120", "gold": "240", "pred_text": "To determine how many sheets of paper Miguel uses every month, we can break down the problem into smaller steps:\n\n1. **Determine the number of sheets used per week:**\n   - Miguel uses 2 pads of paper a week.\n   - Each pad contains 30 sheets of paper.\n   - Therefore, the number of sheets used per week is \\(2 \\text{ pads/week} \\times 30 \\text{ sheets/pad} = 60 \\text{ sheets/week}\\).\n\n2. **Determine the number of sheets used per month:**\n   - There are approximately 4 weeks in a month.\n   - Therefore, the number of sheets used per month is \\(60 \\text{ sheets/week} \\times 4 \\text{ weeks/month} = 240 \\text{ sheets/month}\\).\n\n#### 240", "score": 1.0}, {"id": "gsm8k-330", "gold": "31", "pred_text": "Let's break down the problem step by step:\n\n1. **Calculate the rewards earned from the last shopping trip:**\n   - The customer spent $80.\n   - For every $20 spent, they earn $1 off their next purchase.\n   - Therefore, the number of $20 increments in $80 is \\( \\frac{80}{20} = 4 \\).\n   - So, the customer earned $4 in rewards.\n\n2. **Apply the rewards to the current shopping trip:**\n   - The customer spent $43 on this trip.\n   - They can use the $4 in rewards.\n   - After applying the rewards, the amount to be paid is \\( 43 - 4 = 39 \\).\n\n3. **Apply the coupon:**\n   - The coupon takes twice the amount of rewards off the price.\n   - The rewards amount is $4, so twice this amount is \\( 2 \\times 4 = 8 \\).\n   - Therefore, the coupon reduces the price by $8.\n   - The final amount to be paid after applying the coupon is \\( 39 - 8 = 31 \\).\n\n#### 31", "score": 1.0}, {"id": "gsm8k-342", "gold": "87", "pred_text": "Let's break down the problem step by step to find out how many baby outfits Laurel has in total.\n\n1. **Outfits from the friend**: Laurel's friend gave her 24 baby outfits.\n2. **Outfits from the baby shower**: At the baby shower, Laurel received twice the amount of new baby outfits that her friend gave her. So, she received \\(2 \\times 24 = 48\\) new baby outfits.\n3. **Outfits from her mom**: Laurel's mom gifted her with another 15 baby outfits.\n\nNow, we add up all the outfits Laurel received:\n\n- Outfits from the friend: 24\n- Outfits from the baby shower: 48\n- Outfits from her mom: 15\n\nAdding these together:\n\n\\[ 24 + 48 + 15 = 87 \\]\n\nSo, Laurel has a total of 87 baby outfits.\n\n#### 87", "score": 1.0}, {"id": "gsm8k-405", "gold": "50", "pred_text": "To determine how much money Tyson would spend on the meat and cheese to make enough sandwiches to serve 20 people, we can follow these steps:\n\n1. **Calculate the number of sandwiches needed:**\n   - Each sandwich serves 4 people.\n   - There are 20 people watching the game.\n   - Therefore, the number of sandwiches needed is \\( \\frac{20}{4} = 5 \\) sandwiches.\n\n2. **Determine the amount of meat and cheese needed:**\n   - Each sandwich requires 1 pound of meat.\n   - Each sandwich requires 1 pound of cheese.\n   - For 5 sandwiches, the total amount of meat needed is \\( 5 \\times 1 = 5 \\) pounds.\n   - For 5 sandwiches, the total amount of cheese needed is \\( 5 \\times 1 = 5 \\) pounds.\n\n3. **Calculate the cost of the meat:**\n   - The cost of meat is $7.00 per pound.\n   - Therefore, the total cost for the meat is \\( 5 \\times 7 = 35 \\) dollars.\n\n4. **Calculate the cost of the cheese:**\n   - The cost of cheese is $3.00 per pound.\n   - Therefore, the total cost for the cheese is \\( 5 \\times 3 = 15 \\) dollars.\n\n5. **Calculate the total cost:**\n   - The total cost for the meat and cheese is \\( 35 + 15 = 50 \\) dollars.\n\n#### 50", "score": 1.0}, {"id": "gsm8k-205", "gold": "98", "pred_text": "To determine the score Brinley needs on her sixth test to achieve an average of 93, we need to follow these steps:\n\n1. **Understand the problem**: Brinley can remove the lowest score from the five tests she has already taken and then average the remaining four scores with the sixth test score to get an average of 93.\n\n2. **Identify the lowest score**: The scores Brinley has are 89, 71, 92, 100, and 86. The lowest score is 71.\n\n3. **Calculate the sum of the remaining scores**: If we remove the lowest score (71), the sum of the remaining scores is:\n   \\[\n   89 + 92 + 100 + 86 = 367\n   \\]\n\n4. **Set up the equation for the average**: Let \\( x \\) be the score Brinley needs on the sixth test. The average of the four highest scores and the sixth test score should be 93. Therefore, we can write the equation:\n   \\[\n   \\frac{367 + x}{5} = 93\n   \\]\n\n5. **Solve for \\( x \\)**:\n   \\[\n   367 + x = 93 \\times 5\n   \\]\n   \\[\n   367 + x = 465\n   \\]\n   \\[\n   x = 465 - 367\n   \\]\n   \\[\n   x = 98\n   \\]\n\nTherefore, Brinley needs to score \\(\\boxed{98}\\) on her sixth test to get an average of 93.", "score": 0.0}, {"id": "gsm8k-777", "gold": "4400", "pred_text": "Let's break down the problem step by step to find out the total cost of replacing Mike's movie collection with digital versions.\n\n1. **Total number of movies**: Mike has 600 movies.\n\n2. **Movies in series**: A third of the movies are in various series.\n   \\[\n   \\text{Number of series movies} = \\frac{1}{3} \\times 600 = 200\n   \\]\n   Each series movie costs $6.\n\n3. **Remaining movies**: Subtract the series movies from the total.\n   \\[\n   \\text{Remaining movies} = 600 - 200 = 400\n   \\]\n\n4. **Older movies**: 40% of the remaining movies are older movies, which cost $5 each.\n   \\[\n   \\text{Number of older movies} = 0.4 \\times 400 = 160\n   \\]\n   Each older movie costs $5.\n\n5. **Normal movies**: The rest of the remaining movies are normal movies, which cost $10 each.\n   \\[\n   \\text{Number of normal movies} = 400 - 160 = 240\n   \\]\n   Each normal movie costs $10.\n\n6. **Calculate the total cost**:\n   - Cost for series movies:\n     \\[\n     \\text{Cost for series movies} = 200 \\times 6 = 1200\n     \\]\n   - Cost for older movies:\n     \\[\n     \\text{Cost for older movies} = 160 \\times 5 = 800\n     \\]\n   - Cost for normal movies:\n     \\[\n     \\text{Cost for normal movies} = 240 \\times 10 = 2400\n     \\]\n\n7. **Total cost**:\n   \\[\n   \\text{Total cost} = 1200 + 800 + 2400 = 4400\n   \\]\n\n#### 4400", "score": 1.0}, {"id": "gsm8k-1235", "gold": "60", "pred_text": "To determine what percentage of the distance between Alaska and Texas Michael has covered, we need to follow these steps:\n\n1. **Calculate the total distance Michael travels in 3 days:**\n   - Michael's average speed is 50 km/hr.\n   - He travels for 3 days. Assuming he travels 24 hours a day (excluding necessary stops), the total travel time is \\(3 \\times 24 = 72\\) hours.\n   - The total distance covered in 72 hours is \\(50 \\text{ km/hr} \\times 72 \\text{ hr} = 3600 \\text{ km}\\).\n\n2. **Determine the total distance between Alaska and Texas:**\n   - The distance between Alaska and Texas is given as 6000 km.\n\n3. **Calculate the percentage of the total distance covered:**\n   - The percentage of the distance covered is given by the formula:\n     \\[\n     \\text{Percentage} = \\left( \\frac{\\text{Distance Covered}}{\\text{Total Distance}} \\right) \\times 100\n     \\]\n   - Substituting the values, we get:\n     \\[\n     \\text{Percentage} = \\left( \\frac{3600 \\text{ km}}{6000 \\text{ km}} \\right) \\times 100 = 0.6 \\times 100 = 60\\%\n     \\]\n\n#### 60%", "score": 1.0}, {"id": "gsm8k-133", "gold": "13", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the distance Walt walked on Tuesday:**\n   - On Monday, Walt walked 4 miles.\n   - On Tuesday, he walked 6 times as many miles as he did on Monday.\n   - Therefore, the distance walked on Tuesday is \\(6 \\times 4 = 24\\) miles.\n\n2. **Calculate the total distance walked on Monday and Tuesday:**\n   - Distance on Monday: 4 miles\n   - Distance on Tuesday: 24 miles\n   - Total distance on Monday and Tuesday: \\(4 + 24 = 28\\) miles\n\n3. **Determine the distance Walt walked on Wednesday:**\n   - The total distance walked from Monday through Wednesday is 41 miles.\n   - We already know the total distance for Monday and Tuesday is 28 miles.\n   - Therefore, the distance walked on Wednesday is \\(41 - 28 = 13\\) miles.\n\n#### 13", "score": 1.0}, {"id": "gsm8k-343", "gold": "180000", "pred_text": "To solve this problem, we need to follow these steps:\n\n1. **Determine the additional distance Tyson should run each day according to his coach's advice.**\n2. **Calculate the total distance Tyson runs each day after following the coach's advice.**\n3. **Calculate the total distance Tyson runs in June.**\n\n### Step 1: Determine the additional distance Tyson should run each day\n\nTyson's current daily training distance is 5000 meters. His coach wants him to run 1/5 times more meters each day. To find out how much more he should run, we calculate 1/5 of 5000 meters:\n\n\\[\n\\frac{1}{5} \\times 5000 = 1000 \\text{ meters}\n\\]\n\n### Step 2: Calculate the total distance Tyson runs each day after following the coach's advice\n\nNow, we add the additional 1000 meters to his current daily training distance:\n\n\\[\n5000 + 1000 = 6000 \\text{ meters}\n\\]\n\n### Step 3: Calculate the total distance Tyson runs in June\n\nJune has 30 days. To find the total distance Tyson runs in June, we multiply the daily distance by the number of days in June:\n\n\\[\n6000 \\text{ meters/day} \\times 30 \\text{ days} = 180000 \\text{ meters}\n\\]\n\n#### 180000", "score": 1.0}, {"id": "gsm8k-592", "gold": "1", "pred_text": "Let's break down the costs step by step for both Amazon and eBay.\n\n1. **Amazon Costs:**\n   - Cost of boots: $16\n   - Shipping cost: $4\n   - Total cost on Amazon: $16 + $4 = $20\n\n2. **eBay Costs:**\n   - Cost of boots: $13\n   - Shipping cost: Twice as much as Amazon's shipping, so $4 * 2 = $8\n   - Total cost on eBay: $13 + $8 = $21\n\n3. **Difference in Cost:**\n   - Total cost on eBay: $21\n   - Total cost on Amazon: $20\n   - Difference: $21 - $20 = $1\n\n#### $1", "score": 1.0}, {"id": "gsm8k-325", "gold": "224000", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of Junior programmers:**\n   - The total number of employees is 100.\n   - The number of Junior programmers is \\( \\frac{2}{5} \\) of the total number of employees.\n   - Therefore, the number of Junior programmers is \\( \\frac{2}{5} \\times 100 = 40 \\).\n\n2. **Determine the number of Senior programmers:**\n   - The total number of employees is 100.\n   - The number of Junior programmers is 40.\n   - Therefore, the number of Senior programmers is \\( 100 - 40 = 60 \\).\n\n3. **Determine the monthly salary of Senior programmers:**\n   - Junior programmers are paid $2000 per month.\n   - Senior programmers are paid $400 more than Junior programmers.\n   - Therefore, the monthly salary of Senior programmers is \\( 2000 + 400 = 2400 \\).\n\n4. **Calculate the total monthly salary for Junior programmers:**\n   - There are 40 Junior programmers.\n   - Each Junior programmer is paid $2000 per month.\n   - Therefore, the total monthly salary for Junior programmers is \\( 40 \\times 2000 = 80000 \\).\n\n5. **Calculate the total monthly salary for Senior programmers:**\n   - There are 60 Senior programmers.\n   - Each Senior programmer is paid $2400 per month.\n   - Therefore, the total monthly salary for Senior programmers is \\( 60 \\times 2400 = 144000 \\).\n\n6. **Calculate the total amount of money the company pays to all the programmers per month:**\n   - The total monthly salary for Junior programmers is $80000.\n   - The total monthly salary for Senior programmers is $144000.\n   - Therefore, the total amount of money the company pays to all the programmers per month is \\( 80000 + 144000 = 224000 \\).\n\n#### 224000", "score": 1.0}, {"id": "gsm8k-438", "gold": "2", "pred_text": "Let's break down the problem step by step to find the cost per serving of Antoine's French onion soup.\n\n1. **Determine the amount of onions needed:**\n   - Antoine's recipe calls for 2 pounds of onions.\n   - He likes to double that amount, so he needs \\(2 \\times 2 = 4\\) pounds of onions.\n\n2. **Calculate the cost of the onions:**\n   - The onions are on sale for $2.00 a pound.\n   - Therefore, the cost for 4 pounds of onions is \\(4 \\times 2 = 8\\) dollars.\n\n3. **Determine the cost of beef stock:**\n   - He needs 2 boxes of beef stock.\n   - Each box is on sale for $2.00.\n   - Therefore, the cost for 2 boxes of beef stock is \\(2 \\times 2 = 4\\) dollars.\n\n4. **Calculate the total cost of ingredients:**\n   - The total cost is the sum of the cost of onions and the cost of beef stock.\n   - Total cost = Cost of onions + Cost of beef stock = \\(8 + 4 = 12\\) dollars.\n\n5. **Determine the number of servings:**\n   - The soup serves 6 people.\n\n6. **Calculate the cost per serving:**\n   - Cost per serving = Total cost / Number of servings = \\(12 / 6 = 2\\) dollars.\n\n#### 2", "score": 1.0}, {"id": "gsm8k-876", "gold": "41", "pred_text": "To determine Amy's total score, we need to calculate the points she earns from each type of question and then sum them up.\n\n1. **Multiple-choice questions:**\n   - There are 10 multiple-choice questions.\n   - Amy correctly answers 80% of them.\n   - The number of correctly answered multiple-choice questions is \\(10 \\times 0.80 = 8\\).\n   - Each correct multiple-choice question is worth 1 point.\n   - Therefore, the points from multiple-choice questions are \\(8 \\times 1 = 8\\).\n\n2. **True/false questions:**\n   - There are 20 true/false questions.\n   - Amy correctly answers 90% of them.\n   - The number of correctly answered true/false questions is \\(20 \\times 0.90 = 18\\).\n   - Each correct true/false question is worth 1 point.\n   - Therefore, the points from true/false questions are \\(18 \\times 1 = 18\\).\n\n3. **Long-answer questions:**\n   - There are 5 long-answer questions.\n   - Amy correctly answers 60% of them.\n   - The number of correctly answered long-answer questions is \\(5 \\times 0.60 = 3\\).\n   - Each correct long-answer question is worth 5 points.\n   - Therefore, the points from long-answer questions are \\(3 \\times 5 = 15\\).\n\n4. **Total points:**\n   - Sum the points from all types of questions: \\(8 + 18 + 15 = 41\\).\n\n#### 41", "score": 1.0}, {"id": "gsm8k-107", "gold": "3", "pred_text": "Let's break down the information given and calculate the total hours Frankie watched TV each day, then determine how many 30-minute episodes he watched on Wednesday.\n\n1. **Monday and Tuesday:**\n   - Each day, Frankie watched 1 hour of TV.\n   - Total for Monday and Tuesday: \\(1 + 1 = 2\\) hours.\n\n2. **Thursday:**\n   - Frankie watched a 1-hour episode and a 30-minute show.\n   - Total for Thursday: \\(1 + 0.5 = 1.5\\) hours.\n\n3. **Friday:**\n   - Frankie watched two 1-hour episodes.\n   - Total for Friday: \\(2 \\times 1 = 2\\) hours.\n\n4. **Total hours watched from Monday to Friday:**\n   - Sum of hours from Monday to Friday: \\(2 + 1.5 + 2 = 5.5\\) hours.\n\n5. **Total hours watched in the week:**\n   - Frankie watched 7 hours in total.\n\n6. **Hours watched on Wednesday:**\n   - Total hours for the week: 7 hours.\n   - Total hours from Monday to Friday: 5.5 hours.\n   - Hours watched on Wednesday: \\(7 - 5.5 = 1.5\\) hours.\n\n7. **Determine the number of 30-minute episodes watched on Wednesday:**\n   - Each 30-minute episode is 0.5 hours.\n   - Number of 30-minute episodes: \\(\\frac{1.5}{0.5} = 3\\).\n\n#### 3", "score": 1.0}, {"id": "gsm8k-40", "gold": "8", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the age of Ben's iPhone:**\n   - We know that Suzy's iPhone is 1 year old.\n   - Ben's iPhone is two times older than Suzy's iPhone.\n   - Therefore, the age of Ben's iPhone is \\(2 \\times 1 = 2\\) years.\n\n2. **Determine the age of Brandon's iPhone:**\n   - Brandon's iPhone is four times as old as Ben's iPhone.\n   - Since Ben's iPhone is 2 years old, the age of Brandon's iPhone is \\(4 \\times 2 = 8\\) years.\n\n#### 8", "score": 1.0}, {"id": "gsm8k-1223", "gold": "8", "pred_text": "To determine the cost of a 36-minute call using a payphone, we need to break down the call into two segments: the first 16 minutes and the remaining minutes. Here's the step-by-step reasoning:\n\n1. **Calculate the cost for the first 16 minutes:**\n   - The cost for each minute of the first 16 minutes is $0.25.\n   - Therefore, the cost for the first 16 minutes is \\( 16 \\times 0.25 = 4 \\) dollars.\n\n2. **Calculate the number of minutes remaining after the first 16 minutes:**\n   - The total call duration is 36 minutes.\n   - After the first 16 minutes, the remaining minutes are \\( 36 - 16 = 20 \\) minutes.\n\n3. **Calculate the cost for the remaining 20 minutes:**\n   - The cost for each minute after the first 16 minutes is $0.20.\n   - Therefore, the cost for the remaining 20 minutes is \\( 20 \\times 0.20 = 4 \\) dollars.\n\n4. **Calculate the total cost of the 36-minute call:**\n   - The total cost is the sum of the cost for the first 16 minutes and the cost for the remaining 20 minutes.\n   - Therefore, the total cost is \\( 4 + 4 = 8 \\) dollars.\n\n#### 8", "score": 1.0}, {"id": "gsm8k-1151", "gold": "50", "pred_text": "To find the average speed Sid was traveling, we need to follow these steps:\n\n1. **Calculate the total distance traveled:**\n   - First part of the journey: 110 miles\n   - Second part of the journey: 140 miles\n   - Total distance = 110 miles + 140 miles = 250 miles\n\n2. **Calculate the total time taken:**\n   - First part of the journey: 2 hours\n   - Second part of the journey: 3 hours\n   - Total time = 2 hours + 3 hours = 5 hours\n\n3. **Calculate the average speed:**\n   - Average speed is given by the formula: \\(\\text{Average speed} = \\frac{\\text{Total distance}}{\\text{Total time}}\\)\n   - Substituting the values we have: \\(\\text{Average speed} = \\frac{250 \\text{ miles}}{5 \\text{ hours}} = 50 \\text{ miles per hour}\\)\n\n#### 50", "score": 1.0}, {"id": "gsm8k-559", "gold": "16", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine Octavia's daily coffee intake:**\n   - The daily recommended amount of coffee is 4 cups.\n   - Octavia drinks half the daily recommended amount.\n   - Therefore, Octavia drinks \\( \\frac{4}{2} = 2 \\) cups of coffee per day.\n\n2. **Determine Juan's daily coffee intake:**\n   - Juan drinks 10 times the amount of coffee Octavia drinks.\n   - Since Octavia drinks 2 cups, Juan drinks \\( 10 \\times 2 = 20 \\) cups of coffee per day.\n\n3. **Determine the reduction needed for Juan:**\n   - Juan's doctor has asked him to reduce his coffee intake to the daily recommendation of 4 cups.\n   - Juan currently drinks 20 cups.\n   - The reduction needed is \\( 20 - 4 = 16 \\) cups.\n\n#### 16", "score": 1.0}, {"id": "gsm8k-1011", "gold": "6000", "pred_text": "Let's break down the problem step by step to find out how many gallons of water are remaining for the tank to be full.\n\n1. **Determine the amount of water Wanda and Ms. B pumped on the first day:**\n   - The tank's capacity is 18,000 gallons.\n   - Wanda filled \\( \\frac{1}{4} \\) of the tank's capacity on the first day.\n     \\[\n     \\text{Water pumped by Wanda on the first day} = \\frac{1}{4} \\times 18000 = 4500 \\text{ gallons}\n     \\]\n   - Ms. B pumped \\( \\frac{3}{4} \\) as much water as Wanda on the first day.\n     \\[\n     \\text{Water pumped by Ms. B on the first day} = \\frac{3}{4} \\times 4500 = 3375 \\text{ gallons}\n     \\]\n\n2. **Calculate the total amount of water pumped on the first day:**\n   \\[\n   \\text{Total water pumped on the first day} = 4500 + 3375 = 7875 \\text{ gallons}\n   \\]\n\n3. **Determine the amount of water pumped on the second day:**\n   - Wanda pumped \\( \\frac{2}{3} \\) of the amount she pumped on the first day.\n     \\[\n     \\text{Water pumped by Wanda on the second day} = \\frac{2}{3} \\times 4500 = 3000 \\text{ gallons}\n     \\]\n   - Ms. B pumped \\( \\frac{1}{3} \\) of the amount she pumped on the first day.\n     \\[\n     \\text{Water pumped by Ms. B on the second day} = \\frac{1}{3} \\times 3375 = 1125 \\text{ gallons}\n     \\]\n\n4. **Calculate the total amount of water pumped on the second day:**\n   \\[\n   \\text{Total water pumped on the second day} = 3000 + 1125 = 4125 \\text{ gallons}\n   \\]\n\n5. **Calculate the total amount of water pumped over the two days:**\n   \\[\n   \\text{Total water pumped over two", "score": 0.0}, {"id": "gsm8k-710", "gold": "45", "pred_text": "To calculate Marcus' total bill, we need to follow these steps:\n\n1. **Calculate the cost of each type of item:**\n   - Croissants: \\(5 \\times \\$3.00 = \\$15.00\\)\n   - Cinnamon rolls: \\(4 \\times \\$2.50 = \\$10.00\\)\n   - Mini quiches: \\(3 \\times \\$4.00 = \\$12.00\\)\n   - Blueberry muffins: \\(13 \\times \\$1.00 = \\$13.00\\)\n\n2. **Sum the costs of all items:**\n   \\[\n   \\$15.00 + \\$10.00 + \\$12.00 + \\$13.00 = \\$50.00\n   \\]\n\n3. **Apply the 10% discount:**\n   - First, calculate 10% of the total cost:\n     \\[\n     10\\% \\text{ of } \\$50.00 = 0.10 \\times \\$50.00 = \\$5.00\n     \\]\n   - Subtract the discount from the total cost:\n     \\[\n     \\$50.00 - \\$5.00 = \\$45.00\n     \\]\n\nTherefore, Marcus' total bill after applying the 10% discount is \\(\\boxed{45.00}\\).", "score": 1.0}, {"id": "gsm8k-111", "gold": "16", "pred_text": "To determine how much water the boat had taken on by the time Julia reached the shore, we need to follow these steps:\n\n1. **Calculate the total distance Julia needs to row to reach the shore:**\n   - The shore is 64 seconds away.\n   - It takes her 16 seconds to row 20 feet.\n   - Therefore, the total distance is calculated as:\n     \\[\n     \\text{Total distance} = \\frac{64 \\text{ seconds}}{16 \\text{ seconds/20 feet}} \\times 20 \\text{ feet} = 4 \\times 20 \\text{ feet} = 80 \\text{ feet}\n     \\]\n\n2. **Determine the rate at which water is entering the boat:**\n   - The boat takes on 2 liters of water for every 10 feet rowed.\n   - Therefore, the rate of water intake is:\n     \\[\n     \\text{Rate of water intake} = \\frac{2 \\text{ liters}}{10 \\text{ feet}} = 0.2 \\text{ liters/foot}\n     \\]\n\n3. **Calculate the total amount of water taken on during the journey:**\n   - The total distance rowed is 80 feet.\n   - Using the rate of water intake, the total amount of water taken on is:\n     \\[\n     \\text{Total water taken on} = 80 \\text{ feet} \\times 0.2 \\text{ liters/foot} = 16 \\text{ liters}\n     \\]\n\nThus, the boat had taken on \\(\\boxed{16}\\) liters of water by the time Julia reached the shore.", "score": 1.0}, {"id": "gsm8k-72", "gold": "221", "pred_text": "To determine how much money Tommy raises, we need to calculate the total revenue from selling brownies and cheesecakes separately, and then sum these amounts.\n\n1. **Calculate the revenue from brownies:**\n   - Tommy sells each brownie for $3.\n   - He sells 43 brownies.\n   - Revenue from brownies = \\( 43 \\text{ brownies} \\times \\$3 \\text{ per brownie} = \\$129 \\).\n\n2. **Calculate the revenue from cheesecakes:**\n   - Tommy sells each slice of cheesecake for $4.\n   - He sells 23 slices of cheesecake.\n   - Revenue from cheesecakes = \\( 23 \\text{ slices} \\times \\$4 \\text{ per slice} = \\$92 \\).\n\n3. **Calculate the total revenue:**\n   - Total revenue = Revenue from brownies + Revenue from cheesecakes\n   - Total revenue = \\$129 + \\$92 = \\$221.\n\n#### 221", "score": 1.0}, {"id": "gsm8k-573", "gold": "600", "pred_text": "To determine how much money Katina will have remaining in her savings account after 2 years, given that she removes $100 from the account every month, we can follow these steps:\n\n1. **Calculate the total number of months in 2 years:**\n   \\[\n   2 \\text{ years} \\times 12 \\text{ months/year} = 24 \\text{ months}\n   \\]\n\n2. **Determine the total amount of money removed over 24 months:**\n   \\[\n   24 \\text{ months} \\times \\$100/\\text{month} = \\$2400\n   \\]\n\n3. **Subtract the total amount removed from the initial amount in the account:**\n   \\[\n   \\$3000 - \\$2400 = \\$600\n   \\]\n\nTherefore, after 2 years, the amount of money remaining in Katina's savings account is \\(\\boxed{600}\\).", "score": 1.0}, {"id": "gsm8k-598", "gold": "69", "pred_text": "To determine how many gumballs Colby can buy, we need to first calculate the total amount of money he has in nickels. Each gumball costs a nickel, so we need to find out how many nickels he can get from his total amount of money.\n\n1. **Calculate the total value of each type of coin:**\n   - Quarters: Each quarter is worth 25 cents. Colby has 8 quarters.\n     \\[\n     8 \\times 25 = 200 \\text{ cents}\n     \\]\n   - Dimes: Each dime is worth 10 cents. Colby has 6 dimes.\n     \\[\n     6 \\times 10 = 60 \\text{ cents}\n     \\]\n   - Nickels: Each nickel is worth 5 cents. Colby has 14 nickels.\n     \\[\n     14 \\times 5 = 70 \\text{ cents}\n     \\]\n   - Pennies: Each penny is worth 1 cent. Colby has 15 pennies.\n     \\[\n     15 \\times 1 = 15 \\text{ cents}\n     \\]\n\n2. **Sum up the total value of all the coins:**\n   \\[\n   200 \\text{ cents} + 60 \\text{ cents} + 70 \\text{ cents} + 15 \\text{ cents} = 345 \\text{ cents}\n   \\]\n\n3. **Convert the total value into nickels:**\n   Since each nickel is worth 5 cents, we divide the total value by 5 to find out how many nickels Colby has.\n   \\[\n   \\frac{345 \\text{ cents}}{5 \\text{ cents per nickel}} = 69 \\text{ nickels}\n   \\]\n\n4. **Determine how many gumballs Colby can buy:**\n   Since each gumball costs 1 nickel, the number of gumballs he can buy is equal to the number of nickels he has.\n   \\[\n   69 \\text{ gumballs}\n   \\]\n\n#### 69", "score": 1.0}, {"id": "gsm8k-659", "gold": "3", "pred_text": "To solve this problem, we need to calculate the cost of each mixture and then find the difference between the two costs.\n\n### Step 1: Calculate the cost of the first mixture (1/2 pound almonds and 1/3 pound walnuts)\n\n- Cost of 1/2 pound almonds:\n  \\[\n  \\text{Cost of 1 pound almonds} = \\$10\n  \\]\n  \\[\n  \\text{Cost of 1/2 pound almonds} = \\frac{1}{2} \\times 10 = \\$5\n  \\]\n\n- Cost of 1/3 pound walnuts:\n  \\[\n  \\text{Cost of 1 pound walnuts} = \\$15\n  \\]\n  \\[\n  \\text{Cost of 1/3 pound walnuts} = \\frac{1}{3} \\times 15 = \\$5\n  \\]\n\n- Total cost of the first mixture:\n  \\[\n  \\text{Total cost} = 5 + 5 = \\$10\n  \\]\n\n### Step 2: Calculate the cost of the second mixture (1/5 pound almonds and 1/3 pound walnuts)\n\n- Cost of 1/5 pound almonds:\n  \\[\n  \\text{Cost of 1/5 pound almonds} = \\frac{1}{5} \\times 10 = \\$2\n  \\]\n\n- Cost of 1/3 pound walnuts (same as before):\n  \\[\n  \\text{Cost of 1/3 pound walnuts} = \\$5\n  \\]\n\n- Total cost of the second mixture:\n  \\[\n  \\text{Total cost} = 2 + 5 = \\$7\n  \\]\n\n### Step 3: Find the difference in cost between the two mixtures\n\n- Difference in cost:\n  \\[\n  \\text{Difference} = 10 - 7 = \\$3\n  \\]\n\n#### 3", "score": 1.0}, {"id": "gsm8k-95", "gold": "40", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of boys:**\n   - We know that 2/5 of the 200 students are boys.\n   - Number of boys = \\(\\frac{2}{5} \\times 200 = 80\\).\n\n2. **Determine the number of girls:**\n   - Since the total number of students is 200 and 80 of them are boys, the number of girls is:\n   - Number of girls = \\(200 - 80 = 120\\).\n\n3. **Determine the number of girls in the girl scout:**\n   - We know that 2/3 of the girls are in the girl scout.\n   - Number of girls in the girl scout = \\(\\frac{2}{3} \\times 120 = 80\\).\n\n4. **Determine the number of girls not in the girl scout:**\n   - Number of girls not in the girl scout = Total number of girls - Number of girls in the girl scout.\n   - Number of girls not in the girl scout = \\(120 - 80 = 40\\).\n\n#### 40", "score": 1.0}, {"id": "gsm8k-124", "gold": "10", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of letters Jennie stamped:**\n   - Jennie has a pile of 60 letters needing stamps.\n   - She stamps one-third of these letters.\n   - One-third of 60 is calculated as \\( \\frac{60}{3} = 20 \\).\n\n2. **Calculate the total number of letters in the already-stamped pile after Jennie's work:**\n   - Initially, there are 30 letters in the already-stamped pile.\n   - Jennie adds 20 more letters to this pile.\n   - Therefore, the total number of letters in the already-stamped pile now is \\( 30 + 20 = 50 \\).\n\n3. **Determine the number of letters in the already-stamped pile when Jennie began:**\n   - Since Jennie added 20 letters to the already-stamped pile, and now there are 50 letters in total, the number of letters in the already-stamped pile when Jennie began is \\( 50 - 20 = 30 \\).\n\n#### 30", "score": 0.0}, {"id": "gsm8k-800", "gold": "428", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine Nikita's score:**\n   - Pierson's score is 278 points.\n   - Nikita scored 11 more than half as many points as Pierson.\n   - First, find half of Pierson's score: \\( \\frac{278}{2} = 139 \\).\n   - Then, add 11 to this value: \\( 139 + 11 = 150 \\).\n   - So, Nikita's score is 150 points.\n\n2. **Calculate the total score:**\n   - Pierson's score is 278 points.\n   - Nikita's score is 150 points.\n   - Add these two scores together: \\( 278 + 150 = 428 \\).\n\n#### 428", "score": 1.0}, {"id": "gsm8k-84", "gold": "15", "pred_text": "Let's denote the number of games the team won as \\( W \\) and the number of games they lost as \\( L \\).\n\nFrom the problem, we know two things:\n1. The total number of games played is 22.\n2. The team won 8 more games than they lost.\n\nWe can express these as two equations:\n1. \\( W + L = 22 \\) (total games)\n2. \\( W = L + 8 \\) (won 8 more than lost)\n\nWe can substitute the second equation into the first equation to solve for \\( L \\):\n\\[ (L + 8) + L = 22 \\]\n\\[ 2L + 8 = 22 \\]\nSubtract 8 from both sides:\n\\[ 2L = 14 \\]\nDivide both sides by 2:\n\\[ L = 7 \\]\n\nNow that we know \\( L = 7 \\), we can find \\( W \\) using the second equation:\n\\[ W = L + 8 \\]\n\\[ W = 7 + 8 \\]\n\\[ W = 15 \\]\n\nSo, the team won 15 games.\n\n#### 15", "score": 1.0}, {"id": "gsm8k-236", "gold": "31", "pred_text": "Let's break down the problem step by step.\n\n1. **Initial Purchase:**\n   - Ram buys 25 pens.\n\n2. **Usage and Refill:**\n   - Each pen has a certain amount of ink. When a pen is empty, its ink can be mixed with the ink from four other empty pens to make one full pen.\n   - Therefore, for every 5 empty pens, Ram can make 1 new pen.\n\n3. **First Refill:**\n   - After using the 25 pens, all 25 pens will be empty.\n   - Mixing the ink from these 25 empty pens, Ram can make \\( \\frac{25}{5} = 5 \\) new pens.\n\n4. **Second Refill:**\n   - Now, Ram has 5 new pens from the first refill, plus the 25 original pens that were refilled, making a total of 30 pens.\n   - When these 30 pens are used, they will all be empty.\n   - Mixing the ink from these 30 empty pens, Ram can make \\( \\frac{30}{5} = 6 \\) new pens.\n\n5. **Third Refill:**\n   - Now, Ram has 6 new pens from the second refill, plus the 30 original pens that were refilled, making a total of 36 pens.\n   - When these 36 pens are used, they will all be empty.\n   - Mixing the ink from these 36 empty pens, Ram can make \\( \\frac{36}{5} = 7 \\) new pens (with 1 pen left over, but we only count full pens).\n\n6. **Fourth Refill:**\n   - Now, Ram has 7 new pens from the third refill, plus the 36 original pens that were refilled, making a total of 43 pens.\n   - When these 43 pens are used, they will all be empty.\n   - Mixing the ink from these 43 empty pens, Ram can make \\( \\frac{43}{5} = 8 \\) new pens (with 3 pens left over).\n\n7. **Fifth Refill:**\n   - Now, Ram has 8 new pens from the fourth refill, plus the 43 original pens that were refilled, making a total of 51 pens.\n   - When these 51 pens are used, they will all", "score": 0.0}, {"id": "gsm8k-10", "gold": "366", "pred_text": "Let's break down the problem step by step:\n\n1. **First Month:**\n   - The program had 60 downloads in the first month.\n\n2. **Second Month:**\n   - The number of downloads in the second month was three times as many as the first month.\n   - Therefore, the number of downloads in the second month = \\(3 \\times 60 = 180\\).\n\n3. **Third Month:**\n   - The number of downloads in the third month reduced by 30% from the second month.\n   - First, calculate 30% of the second month's downloads: \\(30\\% \\times 180 = 0.30 \\times 180 = 54\\).\n   - Then, subtract this from the second month's downloads to find the third month's downloads: \\(180 - 54 = 126\\).\n\n4. **Total Downloads Over Three Months:**\n   - Add the downloads from each month together: \\(60 + 180 + 126\\).\n   - \\(60 + 180 = 240\\).\n   - \\(240 + 126 = 366\\).\n\n#### 366", "score": 1.0}, {"id": "gsm8k-453", "gold": "6400", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Count of Sapphires:**\n   Jenna starts with 8 sapphires.\n\n2. **Trade of Sapphires for Rubies:**\n   Jenna trades 3 sapphires for 2 rubies.\n\n3. **Value of Sapphires and Rubies:**\n   - Each sapphire is worth $800.\n   - Each ruby is worth $1200.\n\n4. **Calculate the Value of the Sapphires Traded:**\n   - The value of 3 sapphires is \\(3 \\times 800 = 2400\\) dollars.\n\n5. **Calculate the Value of the Rubies Received:**\n   - The value of 2 rubies is \\(2 \\times 1200 = 2400\\) dollars.\n\n6. **Determine the Remaining Sapphires:**\n   - Jenna originally had 8 sapphires and traded 3, so she has \\(8 - 3 = 5\\) sapphires left.\n\n7. **Calculate the Total Value of Remaining Sapphires:**\n   - The value of 5 sapphires is \\(5 \\times 800 = 4000\\) dollars.\n\n8. **Calculate the Total Value of Rubies:**\n   - The value of 2 rubies is \\(2 \\times 1200 = 2400\\) dollars.\n\n9. **Calculate the Total Value of All Jewels:**\n   - The total value is the sum of the value of the remaining sapphires and the value of the rubies.\n   - Total value = \\(4000 + 2400 = 6400\\) dollars.\n\n#### 6400", "score": 1.0}, {"id": "gsm8k-1087", "gold": "12", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the rate of hay production and pickup:**\n   - The farmer makes 5 bales of hay per hour.\n   - The truck picks up 3 bales of hay per hour.\n\n2. **Calculate the net change in the number of hay bales per hour:**\n   - Each hour, the farmer produces 5 bales, and the truck removes 3 bales.\n   - Therefore, the net change in the number of hay bales per hour is \\(5 - 3 = 2\\) bales.\n\n3. **Calculate the total net change over the 6-hour day:**\n   - Since the net change is 2 bales per hour, over 6 hours, the total net change is \\(2 \\times 6 = 12\\) bales.\n\n4. **Determine the number of bales left in the field:**\n   - Since the net change is a positive 12 bales, this means that 12 bales are added to the field over the 6-hour period.\n   - Therefore, the number of bales left in the field after 6 hours is 12.\n\n#### 12", "score": 1.0}, {"id": "gsm8k-1203", "gold": "240", "pred_text": "Let's break down the problem step by step.\n\n1. **Mattison's height**: Mattison is 60 inches tall.\n\n2. **Height of the two-story house**: The house is 7 times as high as Mattison.\n   \\[\n   \\text{Height of the house} = 7 \\times 60 = 420 \\text{ inches}\n   \\]\n\n3. **Height of the first floor**: The floor to ceiling height on the first floor is thrice as high as Mattison.\n   \\[\n   \\text{Height of the first floor} = 3 \\times 60 = 180 \\text{ inches}\n   \\]\n\n4. **Height of the second floor**: To find the height of the roof from the second floor's floor, we need to subtract the height of the first floor from the total height of the house.\n   \\[\n   \\text{Height of the second floor} = \\text{Height of the house} - \\text{Height of the first floor}\n   \\]\n   \\[\n   \\text{Height of the second floor} = 420 - 180 = 240 \\text{ inches}\n   \\]\n\nTherefore, the height of the roof from the second floor's floor is **240 inches**.\n\n#### 240", "score": 1.0}, {"id": "gsm8k-940", "gold": "280", "pred_text": "To determine the total number of children participating in the mass drill, we need to follow these steps:\n\n1. **Calculate the number of children in one row:**\n   Each row consists of 8 children.\n\n2. **Calculate the number of rows for one school:**\n   Each school has 7 rows.\n\n3. **Calculate the number of children for one school:**\n   Since each row has 8 children and there are 7 rows for one school, the number of children for one school is:\n   \\[\n   8 \\text{ children/row} \\times 7 \\text{ rows} = 56 \\text{ children}\n   \\]\n\n4. **Calculate the total number of children for all schools:**\n   There are 5 different schools, and each school has 56 children. Therefore, the total number of children is:\n   \\[\n   56 \\text{ children/school} \\times 5 \\text{ schools} = 280 \\text{ children}\n   \\]\n\n#### 280", "score": 1.0}, {"id": "gsm8k-953", "gold": "452", "pred_text": "Let's break down the problem step by step to find out how many minutes Kim slept on her bed that day.\n\n1. **Determine Kim's usual sleep duration:**\n   - Kim usually goes to sleep at 10 p.m. and wakes up at 6 a.m.\n   - The time from 10 p.m. to 6 a.m. is 8 hours.\n   - Convert 8 hours into minutes: \\(8 \\times 60 = 480\\) minutes.\n\n2. **Identify the time Kim was sleepwalking:**\n   - Kim was sleepwalking from 2:15 a.m. to 2:38 a.m.\n   - The duration of sleepwalking is \\(2:38 - 2:15 = 23\\) minutes.\n\n3. **Determine the time Kim woke up that day:**\n   - Kim usually wakes up at 6 a.m., but she woke up 5 minutes earlier.\n   - Therefore, she woke up at \\(6:00 - 5 = 5:55\\) a.m.\n\n4. **Calculate the total time Kim was awake before sleepwalking:**\n   - From 2:15 a.m. to 5:55 a.m.\n   - First, calculate the time from 2:15 a.m. to 6:00 a.m.: \\(6:00 - 2:15 = 3\\) hours and 45 minutes.\n   - Convert 3 hours and 45 minutes into minutes: \\(3 \\times 60 + 45 = 225\\) minutes.\n   - Subtract the 5 minutes she woke up earlier: \\(225 - 5 = 220\\) minutes.\n\n5. **Calculate the total time Kim was awake that day:**\n   - Time awake before sleepwalking: 220 minutes.\n   - Time sleepwalking: 23 minutes.\n   - Total time awake: \\(220 + 23 = 243\\) minutes.\n\n6. **Calculate the total time Kim was on her bed:**\n   - Total time from 10 p.m. to 5:55 a.m. is \\(9\\) hours and \\(55\\) minutes.\n   - Convert 9 hours and 55 minutes into minutes: \\(9 \\times 60 + 55 = 595\\) minutes.\n   -", "score": 0.0}, {"id": "gsm8k-1019", "gold": "98", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Booking**: The hotel starts with 100 guests.\n\n2. **Early Checkouts**: 24 guests elected to check out early.\n   - Guests after early checkouts: \\(100 - 24 = 76\\)\n\n3. **Late Checkouts**: 15 guests elected to check out late.\n   - Guests after late checkouts: \\(76 - 15 = 61\\)\n\n4. **Afternoon Checkins**: Twice as many people checked in as those who opted for a late checkout.\n   - Number of people who checked in: \\(2 \\times 15 = 30\\)\n   - Guests after afternoon checkins: \\(61 + 30 = 91\\)\n\n5. **Dinner Checkins**: 7 more people checked in after dinner was served.\n   - Final number of guests: \\(91 + 7 = 98\\)\n\n#### 98", "score": 1.0}, {"id": "gsm8k-925", "gold": "2000", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the amount of water in the tank:**\n   - The pool has 10,000 gallons of water.\n   - Anthony and his father fill the tank with half the amount of water in the pool.\n   - Therefore, the tank is filled with \\( \\frac{10,000}{2} = 5,000 \\) gallons of water.\n\n2. **Calculate the amount of water used per day:**\n   - The tank is emptied at a rate of 500 gallons per day.\n\n3. **Calculate the total amount of water used over 6 days:**\n   - Over 6 days, the total amount of water used is \\( 500 \\times 6 = 3,000 \\) gallons.\n\n4. **Determine the remaining amount of water in the tank after 6 days:**\n   - Initially, the tank has 5,000 gallons.\n   - After 6 days, 3,000 gallons have been used.\n   - Therefore, the remaining amount of water in the tank is \\( 5,000 - 3,000 = 2,000 \\) gallons.\n\n#### 2000", "score": 1.0}, {"id": "gsm8k-677", "gold": "36", "pred_text": "To determine how many more signatures Carol and Jennifer need to collect to reach their goal of 100 signatures, we can follow these steps:\n\n1. **Calculate the total number of signatures they currently have:**\n   - Carol has 20 signatures.\n   - Jennifer has 44 signatures.\n   - Total signatures = 20 + 44 = 64 signatures.\n\n2. **Determine the number of signatures needed to reach their goal:**\n   - Their goal is 100 signatures.\n   - Signatures needed = 100 - 64 = 36 signatures.\n\nTherefore, the sisters need to collect 36 more signatures to reach their goal. \n\n#### 36", "score": 1.0}, {"id": "gsm8k-930", "gold": "14", "pred_text": "To find out how many bouncy balls came in the tube, we need to follow these steps:\n\n1. **Identify the total number of toys Sophie has:**\n   Sophie has a total of 62 toys.\n\n2. **List the number of each type of toy Sophie has:**\n   - Building blocks: 31\n   - Stuffed animals: 8\n   - Stacking rings: 9\n\n3. **Calculate the total number of toys excluding the bouncy balls:**\n   \\[\n   31 \\text{ (building blocks)} + 8 \\text{ (stuffed animals)} + 9 \\text{ (stacking rings)} = 48\n   \\]\n\n4. **Determine the number of bouncy balls:**\n   Since the total number of toys is 62, we subtract the number of other toys from the total:\n   \\[\n   62 \\text{ (total toys)} - 48 \\text{ (other toys)} = 14\n   \\]\n\nTherefore, the number of bouncy balls in the tube is 14. \n\n#### 14", "score": 1.0}, {"id": "gsm8k-479", "gold": "15400", "pred_text": "Let's break down the cost of Tom and his wife's anniversary getaway step by step.\n\n1. **Cost of Plane Tickets:**\n   - Each plane ticket costs $5000.\n   - Since there are two tickets (one for Tom and one for his wife), the total cost for the plane tickets is:\n     \\[\n     5000 \\times 2 = 10000\n     \\]\n\n2. **Cost of Hotel:**\n   - The normal price of the hotel is $1500 per day.\n   - The hotel is 20% more expensive because it is a busy weekend.\n   - To find the increased price, we calculate 20% of $1500:\n     \\[\n     1500 \\times 0.20 = 300\n     \\]\n   - Adding this to the normal price gives the weekend price:\n     \\[\n     1500 + 300 = 1800 \\text{ per day}\n     \\]\n   - They are staying for 3 days, so the total cost for the hotel is:\n     \\[\n     1800 \\times 3 = 5400\n     \\]\n\n3. **Total Cost of the Trip:**\n   - Adding the cost of the plane tickets and the hotel together gives the total cost of the trip:\n     \\[\n     10000 + 5400 = 15400\n     \\]\n\n#### 15400", "score": 1.0}, {"id": "gsm8k-817", "gold": "15", "pred_text": "To determine how many more cupcakes Paul needs to buy, we can follow these steps:\n\n1. **Calculate the total number of cupcakes Paul already has:**\n   - Paul has 8 chocolate cupcakes.\n   - Paul has 40 toffee cupcakes.\n   - Total cupcakes already = 8 + 40 = 48 cupcakes.\n\n2. **Determine the total number of cupcakes needed:**\n   - Paul needs 63 cupcakes for the party.\n\n3. **Calculate the number of additional cupcakes Paul needs to buy:**\n   - Additional cupcakes needed = Total cupcakes needed - Total cupcakes already.\n   - Additional cupcakes needed = 63 - 48 = 15 cupcakes.\n\n#### 15", "score": 1.0}, {"id": "gsm8k-193", "gold": "24", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Placement on Friday Morning:**\n   - Sue's front yard has 18 pink plastic flamingos.\n\n2. **Modification on Saturday Morning:**\n   - The neighbors took back one third of the flamingos.\n   - One third of 18 is \\( \\frac{18}{3} = 6 \\).\n   - So, 6 pink flamingos were taken back.\n   - The remaining pink flamingos are \\( 18 - 6 = 12 \\).\n   - These 6 pink flamingos were then painted white and put back out on Sue's front yard.\n   - Now, Sue's front yard has 12 pink flamingos and 6 white flamingos.\n\n3. **Additional Placement on Sunday Morning:**\n   - The neighbors added another 18 pink plastic flamingos.\n   - The total number of pink flamingos is now \\( 12 + 18 = 30 \\).\n   - The number of white flamingos remains 6.\n\n4. **Calculating the Difference at Noon on Sunday:**\n   - The number of pink flamingos is 30.\n   - The number of white flamingos is 6.\n   - The difference is \\( 30 - 6 = 24 \\).\n\n#### 24", "score": 1.0}, {"id": "gsm8k-248", "gold": "300", "pred_text": "To determine how much the chef spent on the onions, we can break down the problem into a few simple steps:\n\n1. **Calculate the total weight of onions:**\n   - The chef bought 4 bags of onions.\n   - Each bag weighs 50 pounds.\n   - Therefore, the total weight of onions is \\(4 \\times 50 = 200\\) pounds.\n\n2. **Calculate the total cost:**\n   - The cost of one pound of onions is $1.50.\n   - The total weight of onions is 200 pounds.\n   - Therefore, the total cost is \\(200 \\times 1.50 = 300\\) dollars.\n\n#### 300", "score": 1.0}, {"id": "gsm8k-1081", "gold": "195", "pred_text": "Let's break down the problem step by step.\n\n1. **Identify the given information:**\n   - Binkie's score is 90.\n   - Frankie's score is 15 better than twice Binkie's score.\n\n2. **Express Frankie's score in terms of Binkie's score:**\n   - Let \\( B \\) represent Binkie's score.\n   - Let \\( F \\) represent Frankie's score.\n   - According to the problem, \\( F = 2B + 15 \\).\n\n3. **Substitute Binkie's score into the equation:**\n   - Since Binkie's score \\( B = 90 \\), we substitute 90 for \\( B \\) in the equation for \\( F \\):\n     \\[\n     F = 2 \\times 90 + 15\n     \\]\n\n4. **Perform the multiplication and addition:**\n   - First, multiply 2 by 90:\n     \\[\n     2 \\times 90 = 180\n     \\]\n   - Then, add 15 to 180:\n     \\[\n     180 + 15 = 195\n     \\]\n\n5. **State the final answer:**\n   - Frankie's score is 195.\n\n#### 195", "score": 1.0}, {"id": "gsm8k-828", "gold": "60", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Amount**: Mulan starts with $40.\n2. **Money Given by Father**: Her father gives her an additional $100.\n   - Total amount after receiving money from her father: \\(40 + 100 = 140\\).\n\n3. **Cost of Jeans**: She buys two pairs of jeans at $30 each.\n   - Total cost of jeans: \\(2 \\times 30 = 60\\).\n\n4. **Cost of Bag**: She also buys a bag for $20.\n   - Total cost of the bag: $20.\n\n5. **Total Expenses**: The total amount spent on jeans and the bag is:\n   - Total expenses: \\(60 + 20 = 80\\).\n\n6. **Remaining Amount**: To find out how much money Mulan has left, we subtract the total expenses from the total amount she had after receiving money from her father.\n   - Remaining amount: \\(140 - 80 = 60\\).\n\n#### 60", "score": 1.0}, {"id": "gsm8k-197", "gold": "6277", "pred_text": "To find out how many children are in the city of Soda, we need to follow these steps:\n\n1. **Identify the total population of Soda**: The total population is given as 23786 inhabitants.\n\n2. **Identify the number of men and women**: There are 8417 men and 9092 women.\n\n3. **Calculate the total number of adults (men and women)**: \n   \\[\n   \\text{Total number of adults} = \\text{Number of men} + \\text{Number of women} = 8417 + 9092 = 17509\n   \\]\n\n4. **Calculate the number of children**: The number of children is the total population minus the number of adults.\n   \\[\n   \\text{Number of children} = \\text{Total population} - \\text{Total number of adults} = 23786 - 17509 = 6277\n   \\]\n\n#### 6277", "score": 1.0}, {"id": "gsm8k-25", "gold": "2", "pred_text": "Let's break down the problem step by step to find out how many boxes of pizza Marie ordered.\n\n1. **Calculate the cost of the chicken meal:**\n   - The chicken meal costs $12.\n\n2. **Calculate the cost of the milk:**\n   - Marie ordered 5 packs of milk, each costing $3.\n   - Total cost of milk = 5 packs * $3/pack = $15.\n\n3. **Calculate the cost of the apples:**\n   - Marie ordered 4 apples, each costing $1.50.\n   - Total cost of apples = 4 apples * $1.50/apple = $6.\n\n4. **Sum up the costs of the chicken meal, milk, and apples:**\n   - Total cost of meal, milk, and apples = $12 + $15 + $6 = $33.\n\n5. **Determine the total amount spent on pizza:**\n   - Marie paid a total of $50.\n   - Total spent on pizza = Total amount paid - Total cost of meal, milk, and apples = $50 - $33 = $17.\n\n6. **Calculate the number of boxes of pizza:**\n   - Each box of pizza costs $8.50.\n   - Number of boxes of pizza = Total spent on pizza / Cost per box = $17 / $8.50 = 2.\n\nTherefore, Marie ordered **2** boxes of pizza. ####", "score": 0.0}, {"id": "gsm8k-534", "gold": "300", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of boys and girls:**\n   - There are 20 kids in total.\n   - They are divided into two equal groups.\n   - Therefore, the number of boys and girls is \\( \\frac{20}{2} = 10 \\) each.\n\n2. **Determine the number of seashells brought by each boy:**\n   - Each boy brought back 60 seashells.\n\n3. **Determine the number of seashells brought by each girl:**\n   - The girls brought an amount equal to the number of shells brought by the boys plus four times as many seashells as the boys.\n   - Let's denote the number of seashells brought by each girl as \\( G \\).\n   - According to the problem, \\( G = 60 + 4 \\times 60 \\).\n\n4. **Calculate the number of seashells brought by each girl:**\n   - First, calculate \\( 4 \\times 60 \\):\n     \\[\n     4 \\times 60 = 240\n     \\]\n   - Then, add this to the 60 seashells brought by the boys:\n     \\[\n     G = 60 + 240 = 300\n     \\]\n\nTherefore, each girl brought back 300 seashells. \n\n#### 300", "score": 1.0}, {"id": "gsm8k-1051", "gold": "15", "pred_text": "To determine how many gallons of water Ingrid drinks in 30 days, we can follow these steps:\n\n1. **Calculate the total number of cups Ingrid drinks in 30 days:**\n   - Ingrid drinks 8 cups of water every day.\n   - Over 30 days, she drinks \\( 8 \\text{ cups/day} \\times 30 \\text{ days} = 240 \\text{ cups} \\).\n\n2. **Convert the total number of cups to gallons:**\n   - There are 16 cups in a gallon.\n   - To find out how many gallons 240 cups is, we divide the total number of cups by the number of cups per gallon: \\( \\frac{240 \\text{ cups}}{16 \\text{ cups/gallon}} = 15 \\text{ gallons} \\).\n\nTherefore, Ingrid drinks **15 gallons** of water in 30 days. ####", "score": 0.0}, {"id": "gsm8k-707", "gold": "8", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the percentage of water used by the city from the Colorado River:**\n   - The city uses 40% of the water from the Colorado River.\n\n2. **Determine the percentage of that water used for industrial purposes:**\n   - 80% of the water used by the city is for industrial purposes.\n\n3. **Calculate the percentage of water used for industrial purposes:**\n   - 80% of 40% is calculated as \\(0.80 \\times 40\\% = 32\\%\\).\n\n4. **Determine the percentage of water used for non-industrial purposes:**\n   - If 32% of the water is used for industrial purposes, then the remaining percentage is used for non-industrial purposes.\n   - This can be calculated as \\(100\\% - 32\\% = 68\\%\\).\n\nTherefore, the percentage of the river's total water used by the city for non-industrial purposes is **68%**.\n\n#### 68", "score": 0.0}, {"id": "gsm8k-887", "gold": "34", "pred_text": "Let's break down the problem step by step:\n\n1. **Birds nesting in the bushes**: Jerry counts 6 birds.\n2. **Birds flying overhead**: The problem states that this number is \\( \\frac{2}{3} \\) of the number of birds nesting in the bushes. So, we calculate:\n   \\[\n   \\frac{2}{3} \\times 6 = 4\n   \\]\n   Therefore, 4 birds are flying overhead.\n3. **Groups of birds feeding**: Jerry counts 3 groups of 8 birds each. So, we calculate:\n   \\[\n   3 \\times 8 = 24\n   \\]\n   Therefore, 24 birds are feeding.\n\nNow, we add up all the birds Jerry counts:\n\\[\n6 \\text{ (nesting)} + 4 \\text{ (flying overhead)} + 24 \\text{ (feeding)} = 34\n\\]\n\n#### 34", "score": 1.0}, {"id": "gsm8k-1202", "gold": "19", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Eyeshadow Colors:**\n   - Amy had two eyeshadow palettes, each with 4 colors.\n     \\[\n     2 \\text{ palettes} \\times 4 \\text{ colors per palette} = 8 \\text{ colors}\n     \\]\n   - Amy also had three makeup sets, each with 6 colors.\n     \\[\n     3 \\text{ sets} \\times 6 \\text{ colors per set} = 18 \\text{ colors}\n     \\]\n   - Total initial eyeshadow colors:\n     \\[\n     8 \\text{ colors from palettes} + 18 \\text{ colors from sets} = 26 \\text{ colors}\n     \\]\n\n2. **After Her Sister Steals One Palette:**\n   - One palette with 4 colors is stolen.\n     \\[\n     26 \\text{ colors} - 4 \\text{ colors} = 22 \\text{ colors}\n     \\]\n\n3. **Amy Uses Up Half of the Colors from One Makeup Set:**\n   - One makeup set has 6 colors.\n   - Half of the colors from this set are used up.\n     \\[\n     \\frac{6 \\text{ colors}}{2} = 3 \\text{ colors}\n     \\]\n   - Subtract the used colors from the total.\n     \\[\n     22 \\text{ colors} - 3 \\text{ colors} = 19 \\text{ colors}\n     \\]\n\n#### 19", "score": 1.0}, {"id": "gsm8k-696", "gold": "145", "pred_text": "Let's break down the problem step by step to find out how many points the class is missing to reach the 400-point threshold.\n\n1. **Adam's Points:**\n   Adam has collected 50 points.\n\n2. **Betty's Points:**\n   Betty collected 30% more points than Adam. To find out how many points Betty has, we calculate:\n   \\[\n   \\text{Betty's points} = 50 + (0.30 \\times 50) = 50 + 15 = 65\n   \\]\n\n3. **Tom's Points:**\n   Tom has 30 points less than Betty. So, we calculate:\n   \\[\n   \\text{Tom's points} = 65 - 30 = 35\n   \\]\n\n4. **Betty's Points (Recheck):**\n   We already know Betty has 65 points, so this step is just a recheck.\n\n5. **Marta's Points:**\n   Marta managed to collect 3 times more points than Tom. Since Tom has 35 points, we calculate:\n   \\[\n   \\text{Marta's points} = 3 \\times 35 = 105\n   \\]\n\n6. **Total Points Collected by the Class:**\n   Now, we sum up the points collected by all four students:\n   \\[\n   \\text{Total points} = \\text{Adam's points} + \\text{Betty's points} + \\text{Tom's points} + \\text{Marta's points}\n   \\]\n   \\[\n   \\text{Total points} = 50 + 65 + 35 + 105 = 255\n   \\]\n\n7. **Points Needed to Reach the Trip Threshold:**\n   The minimum threshold for the trip is 400 points. To find out how many more points the class needs, we subtract the total points collected from the threshold:\n   \\[\n   \\text{Points needed} = 400 - 255 = 145\n   \\]\n\n#### 145", "score": 1.0}, {"id": "gsm8k-962", "gold": "1000", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the cost of supplies:**\n   - Jen needs to pay $400 for the supplies.\n\n2. **Calculate the cost of the tickets:**\n   - The tickets cost 50% more than the supplies.\n   - To find 50% of the supplies cost, we calculate \\( 400 \\times 0.50 = 200 \\).\n   - Therefore, the total cost of the tickets is \\( 400 + 200 = 600 \\).\n\n3. **Calculate the total cost of travel:**\n   - The total cost of travel is the sum of the cost of supplies and the cost of tickets.\n   - So, the total cost is \\( 400 + 600 = 1000 \\).\n\n#### 1000", "score": 1.0}, {"id": "gsm8k-518", "gold": "32", "pred_text": "Let's break down the problem step by step.\n\n1. **Calculate the total amount of money Ali has initially:**\n   - Ali has four $10 bills and six $20 bills.\n   - The total amount from the $10 bills is \\(4 \\times 10 = 40\\) dollars.\n   - The total amount from the $20 bills is \\(6 \\times 20 = 120\\) dollars.\n   - Therefore, the total amount of money Ali has is \\(40 + 120 = 160\\) dollars.\n\n2. **Calculate the amount of money Ali gives to his sister:**\n   - Ali gives half of the total money to his sister.\n   - Half of $160 is \\(\\frac{160}{2} = 80\\) dollars.\n   - So, Ali gives $80 to his sister.\n\n3. **Calculate the remaining amount of money after giving to his sister:**\n   - The remaining amount is \\(160 - 80 = 80\\) dollars.\n\n4. **Calculate the amount of money Ali uses to buy dinner:**\n   - Ali uses \\(\\frac{3}{5}\\) of the remaining amount to buy dinner.\n   - \\(\\frac{3}{5}\\) of $80 is \\(\\frac{3}{5} \\times 80 = 48\\) dollars.\n   - So, Ali spends $48 on dinner.\n\n5. **Calculate the amount of money Ali has after buying dinner:**\n   - The remaining amount after buying dinner is \\(80 - 48 = 32\\) dollars.\n\n#### 32", "score": 1.0}, {"id": "gsm8k-386", "gold": "80", "pred_text": "To find Wilson's current math grade, we need to calculate the average of his 5 test scores. Here are the steps:\n\n1. **List the test scores**: Wilson's test scores are 65, 94, 81, 86, and 74.\n\n2. **Sum the test scores**: Add all the test scores together.\n   \\[\n   65 + 94 + 81 + 86 + 74\n   \\]\n   Let's add them step by step:\n   \\[\n   65 + 94 = 159\n   \\]\n   \\[\n   159 + 81 = 240\n   \\]\n   \\[\n   240 + 86 = 326\n   \\]\n   \\[\n   326 + 74 = 400\n   \\]\n   So, the total sum of the test scores is 400.\n\n3. **Calculate the average**: Divide the total sum by the number of tests (which is 5).\n   \\[\n   \\text{Average} = \\frac{400}{5} = 80\n   \\]\n\nTherefore, Wilson's current math grade is 80.\n\n#### 80", "score": 1.0}, {"id": "gsm8k-959", "gold": "7", "pred_text": "Let's define the number of balls each boy carried based on the given relationships:\n\n1. Let \\( J \\) represent the number of balls Jeffrey carried.\n2. According to the problem, Jason carried twice as many balls as Jeffrey, so Jason carried \\( 2J \\) balls.\n3. Jordan carried twice as many balls as Jason, so Jordan carried \\( 2 \\times 2J = 4J \\) balls.\n\nThe total number of balls carried by all three boys is the sum of the balls carried by Jeffrey, Jason, and Jordan:\n\\[ J + 2J + 4J = 7J \\]\n\nWe are given that if Jason had picked up and carried 2 balls, then the relationships would still hold. So, if Jason carried 2 balls, then:\n\\[ 2J = 2 \\]\n\\[ J = 1 \\]\n\nNow, we can find the number of balls each boy carried:\n- Jeffrey carried \\( J = 1 \\) ball.\n- Jason carried \\( 2J = 2 \\) balls.\n- Jordan carried \\( 4J = 4 \\) balls.\n\nThe total number of balls is:\n\\[ 1 + 2 + 4 = 7 \\]\n\nTherefore, the total number of balls that the coach brought to practice is \\(\\boxed{7}\\).", "score": 1.0}, {"id": "gsm8k-285", "gold": "21", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine Ann's brother's current age:**\n   - Ann is 9 years old.\n   - Her brother is twice her age.\n   - Therefore, her brother's current age is \\(9 \\times 2 = 18\\) years old.\n\n2. **Calculate her brother's age in 3 years:**\n   - If her brother is currently 18 years old, in 3 years, he will be \\(18 + 3 = 21\\) years old.\n\n#### 21", "score": 1.0}, {"id": "gsm8k-1255", "gold": "12", "pred_text": "Let's break down the problem step by step to find out how many cups of water Crista needs every day for her plants.\n\n1. **Identify the number of plants and their water requirements:**\n   - Crista has 20 plants in total.\n   - 4 plants need half a cup of water each.\n   - 8 plants need 1 cup of water each.\n   - The rest of the plants need a quarter of a cup of water each.\n\n2. **Calculate the number of plants that need a quarter of a cup of water:**\n   - Total plants = 20\n   - Plants needing half a cup = 4\n   - Plants needing 1 cup = 8\n   - Plants needing a quarter of a cup = 20 - 4 - 8 = 8\n\n3. **Calculate the total water needed for each group of plants:**\n   - For the 4 plants needing half a cup each: \\(4 \\times \\frac{1}{2} = 2\\) cups\n   - For the 8 plants needing 1 cup each: \\(8 \\times 1 = 8\\) cups\n   - For the 8 plants needing a quarter of a cup each: \\(8 \\times \\frac{1}{4} = 2\\) cups\n\n4. **Add up the total cups of water needed:**\n   - Total water = \\(2 + 8 + 2 = 12\\) cups\n\nTherefore, Crista needs 12 cups of water every day for her plants. \n\n#### 12", "score": 1.0}, {"id": "gsm8k-868", "gold": "15", "pred_text": "To determine how much Greg will spend on jello, we need to follow these steps:\n\n1. **Calculate the total number of jello cups needed:**\n   - There are 30 kids.\n   - Each kid will have 4 jello cups.\n   - Total jello cups needed = 30 kids * 4 cups per kid = 120 cups.\n\n2. **Determine how many boxes of jello are needed:**\n   - One 3-ounce box makes 10 small jello cups.\n   - Number of boxes needed = Total jello cups needed / Jello cups per box = 120 cups / 10 cups per box = 12 boxes.\n\n3. **Calculate the total cost:**\n   - Each box of jello is on sale for $1.25.\n   - Total cost = Number of boxes * Cost per box = 12 boxes * $1.25 per box = $15.\n\n#### 15", "score": 1.0}, {"id": "gsm8k-1158", "gold": "7300", "pred_text": "To determine how many more bottles of juices Hortex would have to produce to satisfy 100% of the daily energy needs of 2300 people, we can follow these steps:\n\n1. **Calculate the total daily energy demand for 2300 people:**\n   - Each juice bottle covers 20% of one person's daily energy demand.\n   - Therefore, to cover 100% of one person's daily energy demand, Hortex would need to produce 5 bottles (since 100% / 20% = 5).\n\n2. **Calculate the total number of bottles needed for 2300 people:**\n   - For 2300 people, the total number of bottles required would be \\(2300 \\times 5 = 11500\\) bottles.\n\n3. **Determine the current production capacity:**\n   - Hortex can produce 4200 bottles of juice per day.\n\n4. **Calculate the additional number of bottles needed:**\n   - The additional number of bottles required is \\(11500 - 4200 = 7300\\) bottles.\n\n#### 7300", "score": 1.0}, {"id": "gsm8k-394", "gold": "92", "pred_text": "To determine how many books Wendy needs to carry, we can follow these steps:\n\n1. **Calculate the total number of spaces in the shelving system:**\n   - The shelving system has 6 rows and 6 columns.\n   - Therefore, the total number of spaces is \\(6 \\times 6 = 36\\).\n\n2. **Determine the number of books Wendy wants to place:**\n   - Wendy wants to place 20 more than double the number of spaces.\n   - Double the number of spaces is \\(2 \\times 36 = 72\\).\n   - Adding 20 to this gives \\(72 + 20 = 92\\).\n\n3. **Conclusion:**\n   - Wendy needs to carry 92 books to complete her task.\n\n#### 92", "score": 1.0}, {"id": "gsm8k-1156", "gold": "120", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the selling price of one mobile device:**\n   - Linus buys a mobile device for $20.\n   - He sells it for twice the amount of the original price.\n   - Therefore, the selling price of one mobile device is \\(2 \\times 20 = 40\\) dollars.\n\n2. **Calculate the total cost of the devices bought last Monday:**\n   - Linus bought 2 devices last Monday.\n   - The cost of one device is $20.\n   - Therefore, the total cost for 2 devices is \\(2 \\times 20 = 40\\) dollars.\n\n3. **Calculate the total revenue from selling the devices bought last Monday:**\n   - The selling price of one device is $40.\n   - Therefore, the total revenue from selling 2 devices is \\(2 \\times 40 = 80\\) dollars.\n\n4. **Calculate the profit from selling the devices bought last Monday:**\n   - Profit is calculated as total revenue minus total cost.\n   - Therefore, the profit from selling the 2 devices bought last Monday is \\(80 - 40 = 40\\) dollars.\n\n5. **Calculate the total cost of the devices bought last Tuesday:**\n   - Linus bought 4 devices last Tuesday.\n   - The cost of one device is $20.\n   - Therefore, the total cost for 4 devices is \\(4 \\times 20 = 80\\) dollars.\n\n6. **Calculate the total revenue from selling the devices bought last Tuesday:**\n   - The selling price of one device is $40.\n   - Therefore, the total revenue from selling 4 devices is \\(4 \\times 40 = 160\\) dollars.\n\n7. **Calculate the profit from selling the devices bought last Tuesday:**\n   - Profit is calculated as total revenue minus total cost.\n   - Therefore, the profit from selling the 4 devices bought last Tuesday is \\(160 - 80 = 80\\) dollars.\n\n8. **Calculate the total profit from selling all the devices bought last Monday and Tuesday:**\n   - The profit from selling the devices bought last Monday is $40.\n   - The profit from selling the devices bought last Tuesday is $80.\n   - Therefore, the total profit is \\(40 + 80 = 120\\) dollars.\n\n#### 120", "score": 1.0}, {"id": "gsm8k-515", "gold": "160", "pred_text": "Let's break down the problem step by step to find out how much profit Tara earned.\n\n1. **Calculate the total number of canvas bags:**\n   - Tara bought 8 packs of 5 canvas bags each.\n   - Total number of bags = 8 packs * 5 bags/pack = 40 bags.\n\n2. **Calculate the total cost of the canvas bags:**\n   - Each pack costs $4.\n   - Total cost = 8 packs * $4/pack = $32.\n\n3. **Calculate the total revenue from selling the bags:**\n   - Tara sold each bag for $8.\n   - Total revenue = 40 bags * $8/bag = $320.\n\n4. **Calculate the profit:**\n   - Profit is calculated as total revenue minus total cost.\n   - Profit = Total revenue - Total cost = $320 - $32 = $288.\n\n#### 288", "score": 0.0}, {"id": "gsm8k-222", "gold": "140", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the number of petunias planted:**\n   - Andy plants 40 fewer petunias than geraniums.\n   - He plants 90 geraniums.\n   - Therefore, the number of petunias is \\(90 - 40 = 50\\).\n\n2. **Calculate the total number of flowers planted:**\n   - The total number of flowers is the sum of the number of geraniums and the number of petunias.\n   - So, the total is \\(90 + 50 = 140\\).\n\n#### 140", "score": 1.0}, {"id": "gsm8k-713", "gold": "576", "pred_text": "To determine how many mosaic tiles Mr. Boarden needs to cover two thirds of his 36 sq ft bathroom, we can follow these steps:\n\n1. **Calculate the area to be covered:**\n   - The total area of the bathroom is 36 square feet.\n   - Mr. Boarden wants to cover two thirds of this area.\n   - To find two thirds of 36 square feet, we multiply 36 by \\(\\frac{2}{3}\\):\n     \\[\n     36 \\times \\frac{2}{3} = 36 \\times 0.6667 = 24 \\text{ square feet}\n     \\]\n\n2. **Determine the number of tiles needed per square foot:**\n   - For every square foot, Mr. Boarden needs 24 mosaic tiles.\n\n3. **Calculate the total number of tiles needed:**\n   - Since 24 square feet need to be covered and 24 tiles are required per square foot, we multiply 24 by 24:\n     \\[\n     24 \\times 24 = 576 \\text{ tiles}\n     \\]\n\n#### 576", "score": 1.0}, {"id": "gsm8k-1049", "gold": "20", "pred_text": "To determine the number of Spanish books in the library, we can follow these steps:\n\n1. **Calculate the number of English books:**\n   - There are 50 books in total.\n   - Half of them are written in English.\n   - Therefore, the number of English books is \\( \\frac{50}{2} = 25 \\).\n\n2. **Calculate the number of German books:**\n   - 10% of the books are written in German.\n   - Therefore, the number of German books is \\( 50 \\times \\frac{10}{100} = 5 \\).\n\n3. **Calculate the number of Spanish books:**\n   - The total number of books is 50.\n   - The number of English books is 25.\n   - The number of German books is 5.\n   - The number of Spanish books is the total number of books minus the number of English and German books.\n   - Therefore, the number of Spanish books is \\( 50 - 25 - 5 = 20 \\).\n\n#### 20", "score": 1.0}, {"id": "gsm8k-1248", "gold": "750", "pred_text": "To determine how many telephone calls Jason needs to make to sell 15 cars, we need to break down the problem into smaller steps based on the given ratios.\n\n1. **Determine the number of customers needed to sell 15 cars:**\n   - For every 2 customers that come into the dealership, 1 will buy a car.\n   - Therefore, to sell 15 cars, Jason needs \\(15 \\times 2 = 30\\) customers.\n\n2. **Determine the number of telephone calls needed to get 30 customers:**\n   - For every 25 telephone calls, Jason gets 1 customer.\n   - Therefore, to get 30 customers, Jason needs \\(30 \\times 25 = 750\\) telephone calls.\n\n#### 750", "score": 1.0}, {"id": "gsm8k-406", "gold": "200", "pred_text": "Let's break down the problem step by step.\n\n1. **Initial Information:**\n   - Allan has 40 cannolis in his house.\n   - There is twice as much corn as cannolis.\n\n2. **Calculate the Initial Amount of Corn:**\n   - Since there is twice as much corn as cannolis, the initial amount of corn is \\(2 \\times 40 = 80\\) corns.\n\n3. **Additional Cannolis:**\n   - Allan bought 60 more cannolis at the store.\n   - Therefore, the new total of cannolis is \\(40 + 60 = 100\\) cannolis.\n\n4. **Additional Corns:**\n   - Allan bought 40 fewer corns than the number of cannolis he bought.\n   - Since he bought 60 cannolis, the number of corns he bought is \\(60 - 40 = 20\\) corns.\n   - Therefore, the new total of corns is \\(80 + 20 = 100\\) corns.\n\n5. **Combined Total:**\n   - The new total of cannolis is 100.\n   - The new total of corns is 100.\n   - The combined total of the number of corns and cannolis is \\(100 + 100 = 200\\).\n\n#### 200", "score": 1.0}, {"id": "gsm8k-768", "gold": "675", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine how many books Ahmed read:**\n   - We know that Ezra read twice as many books as Ahmed in one hour.\n   - Ezra read 300 books in one hour.\n   - Therefore, Ahmed read half as many books as Ezra, which is \\( \\frac{300}{2} = 150 \\) books.\n\n2. **Calculate the total number of books read by both in one hour:**\n   - Ezra read 300 books.\n   - Ahmed read 150 books.\n   - Together, they read \\( 300 + 150 = 450 \\) books in one hour.\n\n3. **Account for the additional books Ezra read:**\n   - Ezra decided to read 150 more books.\n   - Adding these to the 300 books he initially read, Ezra now has read \\( 300 + 150 = 450 \\) books in total.\n\n4. **Calculate the total number of books read by both:**\n   - Ahmed read 150 books.\n   - Ezra read 450 books.\n   - Together, they have read \\( 150 + 450 = 600 \\) books.\n\n#### 600", "score": 0.0}, {"id": "gsm8k-270", "gold": "762", "pred_text": "Let's break down the problem step by step:\n\n1. **First Bag:**\n   - The first bag has 300 M&Ms.\n\n2. **Second Bag:**\n   - The second bag has 12 more M&Ms than the first bag.\n   - Therefore, the second bag has \\(300 + 12 = 312\\) M&Ms.\n\n3. **Third Bag:**\n   - The third bag has half the number of M&Ms that the first bag had.\n   - Therefore, the third bag has \\(\\frac{300}{2} = 150\\) M&Ms.\n\n4. **Total M&Ms:**\n   - To find the total number of M&Ms, we add the M&Ms from all three bags.\n   - Total M&Ms = M&Ms from the first bag + M&Ms from the second bag + M&Ms from the third bag\n   - Total M&Ms = \\(300 + 312 + 150\\)\n\n5. **Calculate the Sum:**\n   - \\(300 + 312 = 612\\)\n   - \\(612 + 150 = 762\\)\n\nSo, the total number of M&Ms Mary got is **762**.\n\n#### 762", "score": 1.0}, {"id": "gsm8k-306", "gold": "10", "pred_text": "Let's break down the problem step by step:\n\n1. **Total loaves produced each day**: 60 loaves.\n\n2. **Loaves sold in the morning**: Two-thirds of the loaves are sold in the morning.\n   \\[\n   \\text{Morning sales} = \\frac{2}{3} \\times 60 = 40 \\text{ loaves}\n   \\]\n\n3. **Loaves remaining after the morning sales**: Subtract the morning sales from the total.\n   \\[\n   \\text{Remaining loaves} = 60 - 40 = 20 \\text{ loaves}\n   \\]\n\n4. **Loaves sold in the afternoon and evening**: Half of the remaining loaves are sold equally in the afternoon and evening.\n   \\[\n   \\text{Afternoon and evening sales} = \\frac{1}{2} \\times 20 = 10 \\text{ loaves}\n   \\]\n\n5. **Loaves sold in the afternoon**: Since the remaining loaves are sold equally in the afternoon and evening, the number of loaves sold in the afternoon is half of the afternoon and evening sales.\n   \\[\n   \\text{Afternoon sales} = \\frac{1}{2} \\times 10 = 5 \\text{ loaves}\n   \\]\n\n#### 5", "score": 0.0}, {"id": "gsm8k-226", "gold": "33", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Count of Cards:**\n   - Fire type: 30\n   - Grass type: 20\n   - Water type: 40\n\n2. **Changes in the Collection:**\n   - James loses 8 water type cards.\n   - James buys 14 grass type cards.\n\n3. **Updated Count of Cards:**\n   - Fire type: 30 (unchanged)\n   - Grass type: 20 + 14 = 34\n   - Water type: 40 - 8 = 32\n\n4. **Total Number of Cards:**\n   - Total = 30 (fire) + 34 (grass) + 32 (water) = 96\n\n5. **Probability of Picking a Water Type Card:**\n   - The probability is the number of water type cards divided by the total number of cards.\n   - Probability = 32 / 96\n\n6. **Convert Probability to Percentage:**\n   - Percentage = (32 / 96) * 100\n\n7. **Calculate the Percentage:**\n   - (32 / 96) * 100 = 0.3333 * 100 = 33.33%\n\n8. **Round to the Nearest Integer:**\n   - 33.33% rounded to the nearest integer is 33%\n\n#### 33", "score": 1.0}, {"id": "gsm8k-594", "gold": "42", "pred_text": "To determine how many grams of protein John gets per week from eating mushrooms, we can break down the problem into smaller steps:\n\n1. **Determine the protein content per gram of mushrooms:**\n   - A cup of mushrooms weighs 100 grams and has 3 grams of protein.\n   - Therefore, the protein content per gram of mushrooms is \\( \\frac{3 \\text{ grams of protein}}{100 \\text{ grams of mushrooms}} = 0.03 \\text{ grams of protein per gram of mushrooms} \\).\n\n2. **Calculate the protein content in 200 grams of mushrooms:**\n   - John eats 200 grams of mushrooms every day.\n   - The protein content in 200 grams of mushrooms is \\( 200 \\text{ grams} \\times 0.03 \\text{ grams of protein per gram} = 6 \\text{ grams of protein} \\).\n\n3. **Calculate the protein content per week:**\n   - There are 7 days in a week.\n   - The protein content John gets per week is \\( 6 \\text{ grams of protein per day} \\times 7 \\text{ days} = 42 \\text{ grams of protein} \\).\n\n#### 42", "score": 1.0}, {"id": "gsm8k-989", "gold": "45", "pred_text": "To determine how long it will take Emily to peel and cook 90 shrimp, we need to break down the problem into two parts: peeling and sautéing.\n\n1. **Peeling Shrimp:**\n   - Emily can peel 6 shrimp per minute.\n   - To peel 90 shrimp, we calculate the time required as follows:\n     \\[\n     \\text{Time to peel 90 shrimp} = \\frac{90 \\text{ shrimp}}{6 \\text{ shrimp/minute}} = 15 \\text{ minutes}\n     \\]\n\n2. **Sautéing Shrimp:**\n   - Emily can sauté 30 shrimp in 10 minutes.\n   - To sauté 90 shrimp, we need to determine how many batches of 30 shrimp are required:\n     \\[\n     \\text{Number of batches} = \\frac{90 \\text{ shrimp}}{30 \\text{ shrimp/batch}} = 3 \\text{ batches}\n     \\]\n   - Since each batch takes 10 minutes to sauté, the total time for sautéing 90 shrimp is:\n     \\[\n     \\text{Time to sauté 90 shrimp} = 3 \\text{ batches} \\times 10 \\text{ minutes/batch} = 30 \\text{ minutes}\n     \\]\n\n3. **Total Time:**\n   - The total time to peel and cook 90 shrimp is the sum of the time to peel and the time to sauté:\n     \\[\n     \\text{Total time} = 15 \\text{ minutes} + 30 \\text{ minutes} = 45 \\text{ minutes}\n     \\]\n\n#### 45", "score": 1.0}, {"id": "gsm8k-575", "gold": "36", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the total number of crayons:**\n   - Kate has 3 boxes of crayons.\n   - Each box contains 64 crayons.\n   - Therefore, the total number of crayons is \\(3 \\times 64 = 192\\) crayons.\n\n2. **Determine the number of crayon muffins Kate can make:**\n   - Kate melts 8 small pieces of crayons together to make one crayon muffin.\n   - Therefore, the number of crayon muffins she can make is \\(192 \\div 8 = 24\\) muffins.\n\n3. **Determine the total money Kate can make:**\n   - Kate sells each crayon muffin for $1.50.\n   - Therefore, the total money she can make is \\(24 \\times 1.50 = 36\\) dollars.\n\n#### 36", "score": 1.0}, {"id": "gsm8k-281", "gold": "2450", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of spots on a mamba:**\n   - We know that a cobra has 70 spots.\n   - A cobra has twice as many spots as a mamba.\n   - Therefore, the number of spots on a mamba is \\( \\frac{70}{2} = 35 \\).\n\n2. **Calculate the total number of spots for all cobras:**\n   - There are 40 cobras.\n   - Each cobra has 70 spots.\n   - So, the total number of spots for all cobras is \\( 40 \\times 70 = 2800 \\).\n\n3. **Calculate the total number of spots for all mambas:**\n   - There are 60 mambas.\n   - Each mamba has 35 spots.\n   - So, the total number of spots for all mambas is \\( 60 \\times 35 = 2100 \\).\n\n4. **Calculate the combined total number of spots for all cobras and mambas:**\n   - The combined total is \\( 2800 + 2100 = 4900 \\).\n\n5. **Find half the number of spots they all have combined:**\n   - Half of 4900 is \\( \\frac{4900}{2} = 2450 \\).\n\n#### 2450", "score": 1.0}, {"id": "gsm8k-948", "gold": "15", "pred_text": "To determine Cayley's total commission, we need to calculate the commission from each type of newspaper separately and then sum them up.\n\n1. **Calculate the commission from the New York Times:**\n   - Each copy of the New York Times costs $5.\n   - Cayley gets a 10% commission on each copy.\n   - He sells 6 copies of the New York Times.\n   - Commission per copy of the New York Times = 10% of $5 = 0.10 * $5 = $0.50.\n   - Total commission from the New York Times = 6 copies * $0.50 per copy = $3.00.\n\n2. **Calculate the commission from the Wall Street Journal:**\n   - Each copy of the Wall Street Journal costs $15.\n   - Cayley gets an 8% commission on each copy.\n   - He sells 10 copies of the Wall Street Journal.\n   - Commission per copy of the Wall Street Journal = 8% of $15 = 0.08 * $15 = $1.20.\n   - Total commission from the Wall Street Journal = 10 copies * $1.20 per copy = $12.00.\n\n3. **Calculate the total commission:**\n   - Total commission = Commission from the New York Times + Commission from the Wall Street Journal.\n   - Total commission = $3.00 + $12.00 = $15.00.\n\n#### 15", "score": 1.0}, {"id": "gsm8k-13", "gold": "18", "pred_text": "Let's denote the total number of vacuum cleaners Melanie started with as \\( x \\).\n\n1. **Sold at the green house:**\n   Melanie sold a third of her vacuum cleaners at the green house. So, she sold \\( \\frac{x}{3} \\) vacuum cleaners at the green house.\n\n2. **Vacuum cleaners left after the green house:**\n   After selling at the green house, the number of vacuum cleaners left is \\( x - \\frac{x}{3} = \\frac{2x}{3} \\).\n\n3. **Sold to the red house:**\n   Melanie sold 2 more vacuum cleaners to the red house. So, the number of vacuum cleaners left after the red house is \\( \\frac{2x}{3} - 2 \\).\n\n4. **Sold at the orange house:**\n   Melanie sold half of what was left at the orange house. So, she sold \\( \\frac{1}{2} \\left( \\frac{2x}{3} - 2 \\right) \\) vacuum cleaners at the orange house.\n\n5. **Vacuum cleaners left after the orange house:**\n   After selling at the orange house, the number of vacuum cleaners left is:\n   \\[\n   \\frac{2x}{3} - 2 - \\frac{1}{2} \\left( \\frac{2x}{3} - 2 \\right)\n   \\]\n   Simplify the expression inside the parentheses:\n   \\[\n   \\frac{2x}{3} - 2 - \\frac{1}{2} \\left( \\frac{2x}{3} - 2 \\right) = \\frac{2x}{3} - 2 - \\frac{1}{2} \\cdot \\frac{2x}{3} + \\frac{1}{2} \\cdot 2 = \\frac{2x}{3} - 2 - \\frac{x}{3} + 1 = \\frac{x}{3} - 1\n   \\]\n   We know that after the orange house, Melanie has 5 vacuum cleaners left:\n   \\[\n   \\frac{x}{3} - 1 = 5\n   \\]\n   Solve for \\( x \\):\n   \\[\n   \\frac{x}{3} = 6 \\implies x = 18\n   \\]\n\nSo, Melanie started with \\( 18 \\) vacuum cleaners. \n\n#### 18", "score": 1.0}, {"id": "gsm8k-1089", "gold": "32", "pred_text": "To determine how high the ball goes on its second bounce, we need to follow these steps:\n\n1. **Determine the initial drop height:**\n   - The ball is dropped from the third-floor balcony.\n   - Each story is 24 feet high.\n   - Therefore, the initial drop height is \\(3 \\times 24 = 72\\) feet.\n\n2. **Calculate the height after the first bounce:**\n   - The ball bounces to \\(\\frac{2}{3}\\) of its starting height.\n   - So, the height after the first bounce is \\(\\frac{2}{3} \\times 72 = 48\\) feet.\n\n3. **Calculate the height after the second bounce:**\n   - The ball again bounces to \\(\\frac{2}{3}\\) of its previous height.\n   - So, the height after the second bounce is \\(\\frac{2}{3} \\times 48 = 32\\) feet.\n\nTherefore, the height the ball goes on its second bounce is **32 feet**.\n\n#### 32", "score": 1.0}, {"id": "gsm8k-1282", "gold": "12", "pred_text": "Let's break down the problem step by step:\n\n1. **Calculate the total number of hot dogs needed:**\n   - John invited 20 people.\n   - Each guest will eat 2 hot dogs.\n   - Therefore, the total number of hot dogs needed is \\(20 \\times 2 = 40\\).\n\n2. **Determine how many hot dogs John already has:**\n   - John has 4 hot dogs left over from a previous party.\n\n3. **Calculate the additional number of hot dogs John needs to buy:**\n   - The total number of hot dogs needed is 40.\n   - John already has 4 hot dogs.\n   - Therefore, the additional number of hot dogs needed is \\(40 - 4 = 36\\).\n\n4. **Determine how many packs of hot dogs John needs to buy:**\n   - Each pack contains 6 hot dogs.\n   - To find out how many packs are needed, we divide the number of hot dogs needed by the number of hot dogs per pack: \\(36 \\div 6 = 6\\).\n\n5. **Calculate the total cost of the hot dogs:**\n   - Each pack costs $2.\n   - John needs to buy 6 packs.\n   - Therefore, the total cost is \\(6 \\times 2 = 12\\).\n\n#### 12", "score": 1.0}, {"id": "gsm8k-1218", "gold": "225", "pred_text": "To determine how long it will take for everyone to try the escape room, we need to follow these steps:\n\n1. **Calculate the total number of students who can try the escape room:**\n   - There are 10 students in each of the 4 grades (4th, 5th, 6th, and 7th) who can try the escape room.\n   - Therefore, the total number of students is \\(10 \\times 4 = 40\\).\n\n2. **Determine how many groups of 8 students can be formed:**\n   - Since 8 students can try the escape room at a time, we divide the total number of students by 8.\n   - The number of groups is \\(40 \\div 8 = 5\\).\n\n3. **Calculate the total time required for all groups to try the escape room:**\n   - Each group takes 45 minutes to try the escape room.\n   - Since there are 5 groups, the total time required is \\(5 \\times 45 = 225\\) minutes.\n\nTherefore, it will take **225 minutes** for everyone to try the escape room. \n\n#### 225", "score": 1.0}, {"id": "gsm8k-1279", "gold": "180", "pred_text": "To determine how much Avery will spend on place settings for her holiday dinner, we need to calculate the total cost for the 3 piece place settings for 12 people. Let's break it down step by step.\n\n1. **Calculate the cost of one 3 piece place setting:**\n   - Dinner plate: $6.00\n   - Salad plate: $4.00\n   - Bowl: $5.00\n   - Total for one place setting: $6.00 + $4.00 + $5.00 = $15.00\n\n2. **Calculate the total cost for 12 people:**\n   - Cost for one place setting: $15.00\n   - Number of people: 12\n   - Total cost: $15.00 × 12 = $180.00\n\n#### 180", "score": 1.0}, {"id": "gsm8k-726", "gold": "10", "pred_text": "To solve this problem, we need to follow these steps:\n\n1. Convert the length of Topher's shoe from feet and inches to just inches.\n2. Set up an equation based on the given relationship between Topher's and Bobby's shoe lengths.\n3. Solve the equation for the length of Bobby's shoe.\n\n**Step 1: Convert Topher's shoe length to inches.**\n\nTopher's shoe length is given as 8 feet and 4 inches. We know that 1 foot = 12 inches. Therefore, we can convert 8 feet to inches as follows:\n\\[ 8 \\text{ feet} \\times 12 \\text{ inches/foot} = 96 \\text{ inches} \\]\n\nAdding the 4 inches:\n\\[ 96 \\text{ inches} + 4 \\text{ inches} = 100 \\text{ inches} \\]\n\nSo, Topher's shoe is 100 inches long.\n\n**Step 2: Set up the equation.**\n\nWe are told that the length of one of Topher’s shoes is 10 inches longer than 9 times the length of one of Bobby’s shoes. Let's denote the length of Bobby's shoe as \\( x \\) inches. According to the problem, we can write the equation:\n\\[ 100 = 9x + 10 \\]\n\n**Step 3: Solve the equation for \\( x \\).**\n\nFirst, subtract 10 from both sides of the equation to isolate the term with \\( x \\):\n\\[ 100 - 10 = 9x \\]\n\\[ 90 = 9x \\]\n\nNext, divide both sides by 9 to solve for \\( x \\):\n\\[ x = \\frac{90}{9} \\]\n\\[ x = 10 \\]\n\nSo, the length of one of Bobby’s shoes is 10 inches.\n\n#### 10", "score": 1.0}, {"id": "gsm8k-422", "gold": "284", "pred_text": "Let's break down the cost calculation step by step:\n\n1. **First 6 months at $8 a month:**\n   - Cost for 6 months = 6 * $8 = $48\n\n2. **Next 8 months at $12 a month:**\n   - Cost for 8 months = 8 * $12 = $96\n\n3. **The remaining time in the 2-year period:**\n   - Total time in 2 years = 24 months\n   - Time already accounted for = 6 months (introductory) + 8 months (normal price) = 14 months\n   - Remaining time = 24 - 14 = 10 months\n   - Cost for the remaining 10 months at $14 a month = 10 * $14 = $140\n\n4. **Total cost for 2 years:**\n   - Total cost = Cost for first 6 months + Cost for next 8 months + Cost for remaining 10 months\n   - Total cost = $48 + $96 + $140 = $284\n\n#### 284", "score": 1.0}, {"id": "gsm8k-667", "gold": "53", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the length of the first three quarters:**\n   - Each quarter is 12 minutes long.\n   - There are 3 quarters in the first part of the game.\n   - Therefore, the total time for the first three quarters is \\(3 \\times 12 = 36\\) minutes.\n\n2. **Determine the length of the last quarter:**\n   - The last quarter is also 12 minutes long, but it was extended by 5 minutes due to a tie.\n   - Therefore, the total time for the last quarter is \\(12 + 5 = 17\\) minutes.\n\n3. **Calculate the total length of the entire game:**\n   - Add the time of the first three quarters to the time of the last quarter.\n   - The total time is \\(36 + 17 = 53\\) minutes.\n\n#### 53", "score": 1.0}, {"id": "gsm8k-204", "gold": "98", "pred_text": "Let's break down the problem step by step to find out how many pens Janet has now.\n\n1. **Initial Count of Pens:**\n   - Janet initially had 22 green pens and 10 yellow pens.\n   - Total initial pens = 22 (green) + 10 (yellow) = 32 pens.\n\n2. **Pens Bought:**\n   - Janet bought 6 bags of blue pens, with each bag containing 9 pens.\n   - Total blue pens = 6 bags * 9 pens/bag = 54 pens.\n   - Janet also bought 2 bags of red pens, with each bag containing 6 pens.\n   - Total red pens = 2 bags * 6 pens/bag = 12 pens.\n\n3. **Total Pens After Purchase:**\n   - Total pens after purchase = Initial pens + Blue pens + Red pens\n   - Total pens after purchase = 32 (initial) + 54 (blue) + 12 (red) = 98 pens.\n\n#### 98", "score": 1.0}, {"id": "gsm8k-564", "gold": "240", "pred_text": "To determine how many pages Judy read in two weeks, we need to calculate the number of pages she read in the first week and add it to the number of pages she read in the second week.\n\n**Step 1: Calculate the number of pages Judy read in the first week.**\n\n- Judy read for 15 minutes each night.\n- There are 7 nights in a week.\n- Therefore, the total reading time in the first week is \\(15 \\text{ minutes/night} \\times 7 \\text{ nights} = 105 \\text{ minutes}\\).\n\n- Judy's reading speed is 2 pages per 1.5 minutes.\n- To find out how many pages she reads per minute, we divide 2 pages by 1.5 minutes: \\(\\frac{2 \\text{ pages}}{1.5 \\text{ minutes}} = \\frac{4}{3} \\text{ pages/minute}\\).\n\n- Now, we calculate the total number of pages read in the first week: \\(105 \\text{ minutes} \\times \\frac{4}{3} \\text{ pages/minute} = 140 \\text{ pages}\\).\n\n**Step 2: Calculate the number of pages Judy read in the second week.**\n\n- We are given that Judy read a total of 100 pages in the second week.\n\n**Step 3: Calculate the total number of pages read in two weeks.**\n\n- Add the pages read in the first week to the pages read in the second week: \\(140 \\text{ pages} + 100 \\text{ pages} = 240 \\text{ pages}\\).\n\n#### 240", "score": 1.0}, {"id": "gsm8k-202", "gold": "100", "pred_text": "Let's break down the problem step by step:\n\n1. **Calculate the total tons of grapes produced per year:**\n   - Josie's farm is 10 acres.\n   - Each acre produces 5 tons of grapes per year.\n   - Therefore, the total tons of grapes produced per year is \\(10 \\text{ acres} \\times 5 \\text{ tons/acre} = 50 \\text{ tons}\\).\n\n2. **Calculate the total barrels of wine produced per year:**\n   - Each ton of grapes makes 2 barrels of wine.\n   - Therefore, the total barrels of wine produced per year is \\(50 \\text{ tons} \\times 2 \\text{ barrels/ton} = 100 \\text{ barrels}\\).\n\n#### 100", "score": 1.0}, {"id": "gsm8k-568", "gold": "175", "pred_text": "Let's break down the problem step by step.\n\n1. **Identify the number of goals scored by Richie:**\n   - Richie scored 80 goals.\n\n2. **Determine the number of goals scored by Mark:**\n   - According to the problem, Richie scored 20 more goals than Mark.\n   - Therefore, Mark scored \\(80 - 20 = 60\\) goals.\n\n3. **Determine the number of goals scored by Anna:**\n   - The problem also states that Richie scored 45 more goals than Anna.\n   - Therefore, Anna scored \\(80 - 45 = 35\\) goals.\n\n4. **Calculate the total number of goals scored by all three teenagers:**\n   - Add the goals scored by Richie, Mark, and Anna.\n   - Total goals = \\(80 + 60 + 35 = 175\\).\n\n#### 175", "score": 1.0}, {"id": "gsm8k-1024", "gold": "300", "pred_text": "Let's break down the problem step by step:\n\n1. **Calculate the total earnings from cookies:**\n   - Suzanne sold 80 cookies at $1 each.\n   - Total earnings from cookies = 80 cookies * $1/cookie = $80.\n\n2. **Calculate the total earnings from cupcakes:**\n   - Suzanne sold 60 cupcakes at $4 each.\n   - Total earnings from cupcakes = 60 cupcakes * $4/cupcake = $240.\n\n3. **Calculate the total earnings:**\n   - Total earnings = Earnings from cookies + Earnings from cupcakes\n   - Total earnings = $80 + $240 = $320.\n\n4. **Calculate the total amount given to her sisters:**\n   - Suzanne gave $10 to each of her two sisters.\n   - Total amount given to sisters = 2 sisters * $10/sister = $20.\n\n5. **Calculate the remaining money:**\n   - Remaining money = Total earnings - Total amount given to sisters\n   - Remaining money = $320 - $20 = $300.\n\n#### 300", "score": 1.0}, {"id": "gsm8k-966", "gold": "48", "pred_text": "Let's break down the problem step by step to find out how many individual brownies Greta had left over from the entire day.\n\n1. **Initial Batch of Brownies:**\n   - Greta made 1 dozen cream cheese swirl brownies.\n   - Since 1 dozen equals 12 brownies, she initially had 12 brownies.\n\n2. **Brownies from the Office Party:**\n   - At her office, she received 1/2 a dozen brownies.\n   - 1/2 dozen equals 6 brownies.\n   - Adding these to her initial batch: \\(12 + 6 = 18\\) brownies.\n\n3. **Brownies from the Surprise Party:**\n   - When she arrived home, her friends had 4 dozen brownies waiting.\n   - 4 dozen equals 48 brownies.\n   - Adding these to her total: \\(18 + 48 = 66\\) brownies.\n\n4. **Brownies Eaten During the Party:**\n   - During the party, 1 1/2 dozen brownies were eaten.\n   - 1 1/2 dozen equals 18 brownies.\n   - Subtracting these from her total: \\(66 - 18 = 48\\) brownies.\n\n#### 48", "score": 1.0}, {"id": "gsm8k-475", "gold": "20", "pred_text": "To determine how long Jason needs to walk each day to break in his new shoes, we can follow these steps:\n\n1. **Calculate the total number of days Jason can walk in three weeks:**\n   - There are 7 days in a week.\n   - Jason can walk 4 days a week.\n   - Therefore, in three weeks, he can walk \\(3 \\times 4 = 12\\) days.\n\n2. **Determine the total walking time required:**\n   - It takes 240 minutes of walking to break in the new shoes.\n\n3. **Calculate the daily walking time:**\n   - To find out how many minutes Jason needs to walk each day, we divide the total walking time by the number of days he can walk.\n   - So, \\( \\frac{240 \\text{ minutes}}{12 \\text{ days}} = 20 \\text{ minutes/day} \\).\n\n#### 20", "score": 1.0}, {"id": "gsm8k-1028", "gold": "200", "pred_text": "Let's break down the problem step by step.\n\n1. **Initial Cost of Bedroom Set**: Tom buys a bedroom set for $3000.\n\n2. **Value of Old Bedroom Set**: Tom sells his old bedroom set for $1000.\n\n3. **Amount to be Paid After Selling Old Set**: Subtract the value of the old bedroom set from the cost of the new one.\n   \\[\n   3000 - 1000 = 2000\n   \\]\n   So, Tom needs to pay $2000 after selling his old bedroom set.\n\n4. **Monthly Interest Rate**: Tom has to pay 10% interest per month on the remaining amount.\n\n5. **Monthly Payment Calculation**: To find out how much Tom has to pay per month, we need to calculate 10% of the $2000.\n   \\[\n   2000 \\times 0.10 = 200\n   \\]\n\nSo, Tom has to pay $200 per month.\n\n#### 200", "score": 1.0}, {"id": "gsm8k-631", "gold": "4800", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the price of the gold jewel:**\n   - We know the price of a diamond jewel is $2000.\n   - The price of a gold jewel is \\(\\frac{4}{5}\\) times the price of a diamond jewel.\n   - Therefore, the price of the gold jewel is:\n     \\[\n     \\text{Price of gold jewel} = \\frac{4}{5} \\times 2000 = \\frac{4 \\times 2000}{5} = \\frac{8000}{5} = 1600\n     \\]\n\n2. **Determine the price of the silver jewel:**\n   - The price of a silver jewel is $400 less than the price of a gold jewel.\n   - Therefore, the price of the silver jewel is:\n     \\[\n     \\text{Price of silver jewel} = 1600 - 400 = 1200\n     \\]\n\n3. **Calculate the total price for all three jewels:**\n   - The total price is the sum of the prices of the diamond, gold, and silver jewels.\n   - Therefore, the total price is:\n     \\[\n     \\text{Total price} = 2000 + 1600 + 1200 = 4800\n     \\]\n\n#### 4800", "score": 1.0}, {"id": "gsm8k-158", "gold": "34", "pred_text": "To determine how much Raphael spent on everything, we need to calculate the total cost of each item he bought and then sum these costs.\n\n1. **Calculate the cost of the pens:**\n   - Raphael bought 4 pens.\n   - Each pen costs $1.5.\n   - Total cost for pens = 4 pens * $1.5/pen = $6.\n\n2. **Calculate the cost of the notebooks:**\n   - Raphael bought 2 notebooks.\n   - Each notebook costs $4.\n   - Total cost for notebooks = 2 notebooks * $4/notebook = $8.\n\n3. **Cost of the rim of bond paper:**\n   - The rim of bond paper costs $20.\n\n4. **Sum the total costs:**\n   - Total cost = Cost of pens + Cost of notebooks + Cost of bond paper\n   - Total cost = $6 + $8 + $20 = $34.\n\n#### 34", "score": 1.0}, {"id": "gsm8k-652", "gold": "75", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the total time James hires the carriage:**\n   - James hires the carriage from 5 PM to 9 PM, which is a total of 4 hours.\n\n2. **Account for the free hour:**\n   - James gets 1 hour free, so the effective paid time is \\(4 - 1 = 3\\) hours.\n\n3. **Calculate the cost for the first hour:**\n   - The first paid hour costs $15.\n\n4. **Calculate the cost for the remaining hours:**\n   - Each hour after the first is twice the cost of the first hour. Therefore, each additional hour costs \\(2 \\times 15 = 30\\) dollars.\n   - Since James pays for 2 additional hours, the cost for these hours is \\(2 \\times 30 = 60\\) dollars.\n\n5. **Calculate the total cost:**\n   - The total cost is the sum of the cost for the first hour and the cost for the additional hours: \\(15 + 60 = 75\\) dollars.\n\n#### 75", "score": 1.0}, {"id": "gsm8k-283", "gold": "68", "pred_text": "To determine how many sterling silver beads Katerina uses per necklace, we need to follow these steps:\n\n1. **Calculate the total length occupied by the topaz gemstones:**\n   - Katerina uses 8 topaz gemstones per necklace.\n   - Each topaz gemstone is 1 inch long.\n   - Therefore, the total length occupied by the topaz gemstones is \\(8 \\times 1 = 8\\) inches.\n\n2. **Determine the remaining length for the sterling silver beads:**\n   - Each necklace is made to a total length of 25 inches.\n   - The remaining length for the sterling silver beads is \\(25 - 8 = 17\\) inches.\n\n3. **Calculate the number of sterling silver beads needed:**\n   - Each sterling silver bead is 1/4 inch long.\n   - To find the number of beads, we divide the remaining length by the length of one bead: \\(17 \\div \\frac{1}{4} = 17 \\times 4 = 68\\).\n\nTherefore, Katerina uses 68 sterling silver beads per necklace. \n\n#### 68", "score": 1.0}, {"id": "gsm8k-448", "gold": "539", "pred_text": "To determine the salesman's profit, we need to follow these steps:\n\n1. **Calculate the cost per sneaker:**\n   The salesman bought a case of 48 sneakers for $576.\n   \\[\n   \\text{Cost per sneaker} = \\frac{576}{48} = 12 \\text{ dollars}\n   \\]\n\n2. **Calculate the revenue from the flash sale:**\n   The salesman sold 17 sneakers at $20 each.\n   \\[\n   \\text{Revenue from flash sale} = 17 \\times 20 = 340 \\text{ dollars}\n   \\]\n\n3. **Calculate the number of sneakers sold to the department store:**\n   The salesman had 48 sneakers initially and sold 17 at the flash sale.\n   \\[\n   \\text{Sneakers sold to department store} = 48 - 17 = 31 \\text{ sneakers}\n   \\]\n\n4. **Calculate the revenue from the department store:**\n   The department store bought the remaining 31 sneakers at $25 each.\n   \\[\n   \\text{Revenue from department store} = 31 \\times 25 = 775 \\text{ dollars}\n   \\]\n\n5. **Calculate the total revenue:**\n   Add the revenue from the flash sale and the department store.\n   \\[\n   \\text{Total revenue} = 340 + 775 = 1115 \\text{ dollars}\n   \\]\n\n6. **Calculate the total cost:**\n   The total cost for the 48 sneakers is $576.\n\n7. **Calculate the profit:**\n   Subtract the total cost from the total revenue.\n   \\[\n   \\text{Profit} = 1115 - 576 = 539 \\text{ dollars}\n   \\]\n\n#### 539", "score": 1.0}, {"id": "gsm8k-837", "gold": "120", "pred_text": "Let's break down the problem step by step to find out how much money Erika has in her purse.\n\n1. **Determine the reduced price of the new laptop:**\n   - The original price of the new laptop is $600.\n   - The trade-in value for her old laptop is $200.\n   - Therefore, the reduced price of the new laptop is \\(600 - 200 = 400\\) dollars.\n\n2. **Calculate the total amount of money Erika has:**\n   - Erika has some savings in her purse.\n   - She has been paid $150 this week.\n   - Her mom gives her $80.\n   - She still needs an extra $50 to buy the laptop.\n\n3. **Set up the equation to find the savings in her purse:**\n   - Let \\(x\\) be the amount of money Erika has in her purse.\n   - The total amount of money Erika has is \\(x + 150 + 80\\).\n   - This total amount should be equal to the reduced price of the laptop minus the extra $50 she still needs: \\(400 - 50 = 350\\).\n\n4. **Solve for \\(x\\):**\n   \\[\n   x + 150 + 80 = 350\n   \\]\n   \\[\n   x + 230 = 350\n   \\]\n   \\[\n   x = 350 - 230\n   \\]\n   \\[\n   x = 120\n   \\]\n\nTherefore, Erika has \\(\\boxed{120}\\) dollars in her purse.", "score": 1.0}, {"id": "gsm8k-834", "gold": "80", "pred_text": "To determine the total distance Mason has traveled, we need to calculate the distance for each segment of his journey and then sum these distances.\n\n1. **First Segment:**\n   - Mason travels at a rate of 8 miles per hour.\n   - He travels for 4 hours.\n   - Distance = Rate × Time\n   - Distance for the first segment = 8 miles/hour × 4 hours = 32 miles\n\n2. **Second Segment:**\n   - After resting, Mason travels for another 6 hours.\n   - He continues at the same rate of 8 miles per hour.\n   - Distance = Rate × Time\n   - Distance for the second segment = 8 miles/hour × 6 hours = 48 miles\n\n3. **Total Distance:**\n   - To find the total distance traveled, we add the distances from both segments.\n   - Total distance = Distance for the first segment + Distance for the second segment\n   - Total distance = 32 miles + 48 miles = 80 miles\n\n#### 80", "score": 1.0}, {"id": "gsm8k-272", "gold": "5", "pred_text": "To determine how much change the cashier gives back, we need to follow these steps:\n\n1. **Calculate the total cost of the items:**\n   - Cocoa: $4.20\n   - Laundry: $9.45\n   - Pasta: $1.35\n\n   Adding these amounts together:\n   \\[\n   4.20 + 9.45 + 1.35 = 15.00\n   \\]\n\n2. **Subtract the total cost from the amount paid:**\n   - Amount paid: $20.00\n   - Total cost: $15.00\n\n   The change is calculated as:\n   \\[\n   20.00 - 15.00 = 5.00\n   \\]\n\nTherefore, the change the cashier gives back is $5.00.\n\n#### 5.00", "score": 1.0}, {"id": "gsm8k-963", "gold": "147", "pred_text": "Let's define the number of Pokemon caught by Adelwolfe as \\( A \\). According to the problem, Stan has caught 13 less than 4 times as many as Adelwolfe, so we can express the number of Pokemon caught by Stan as \\( 4A - 13 \\). Alex has caught 5 more than Stan, so the number of Pokemon caught by Alex can be expressed as \\( (4A - 13) + 5 = 4A - 8 \\).\n\nThe total number of Pokemon caught by Alex, Stan, and Adelwolfe is 339. Therefore, we can write the equation:\n\\[ A + (4A - 13) + (4A - 8) = 339 \\]\n\nNow, let's simplify and solve this equation step by step:\n1. Combine like terms:\n\\[ A + 4A - 13 + 4A - 8 = 339 \\]\n\\[ 9A - 21 = 339 \\]\n\n2. Add 21 to both sides of the equation to isolate the term with \\( A \\):\n\\[ 9A - 21 + 21 = 339 + 21 \\]\n\\[ 9A = 360 \\]\n\n3. Divide both sides by 9 to solve for \\( A \\):\n\\[ A = \\frac{360}{9} \\]\n\\[ A = 40 \\]\n\nNow that we know Adelwolfe has caught 40 Pokemon, we can find out how many Pokemon Stan has caught. Recall that Stan has caught \\( 4A - 13 \\) Pokemon:\n\\[ 4A - 13 = 4(40) - 13 = 160 - 13 = 147 \\]\n\nTherefore, Stan has caught \\(\\boxed{147}\\) Pokemon.", "score": 1.0}, {"id": "gsm8k-1044", "gold": "1", "pred_text": "To find the difference between Cole and Xavier's height now, we need to follow these steps:\n\n1. **Convert all measurements to the same unit**: We will convert everything to inches since the heights are given in feet and inches, and we need to add the growth in inches to the original height.\n\n2. **Convert Xavier's height to inches**:\n   - Xavier was 4 feet tall.\n   - 1 foot = 12 inches.\n   - Therefore, 4 feet = 4 * 12 = 48 inches.\n   - Adding the growth: 48 inches + 3 inches = 51 inches.\n\n3. **Convert Cole's height to inches**:\n   - Cole was 50 inches tall.\n   - Adding the growth: 50 inches + 2 inches = 52 inches.\n\n4. **Calculate the difference between their heights**:\n   - Cole's height now: 52 inches.\n   - Xavier's height now: 51 inches.\n   - Difference: 52 inches - 51 inches = 1 inch.\n\n#### 1", "score": 1.0}, {"id": "gsm8k-483", "gold": "40", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the number of songs Luri has:**\n   - Gabriel has 20 songs.\n   - Luri has 3 times as many songs as Gabriel.\n   - Therefore, Luri has \\(20 \\times 3 = 60\\) songs.\n\n2. **Calculate the maximum capacity of each player:**\n   - Both Gabriel's and Luri's players can store up to 100 songs.\n\n3. **Calculate how many more songs each can add:**\n   - Gabriel's player can hold \\(100 - 20 = 80\\) more songs.\n   - Luri's player can hold \\(100 - 60 = 40\\) more songs.\n\n4. **Determine how many fewer songs Luri can add compared to Gabriel:**\n   - Gabriel can add 80 more songs.\n   - Luri can add 40 more songs.\n   - Therefore, Luri can add \\(80 - 40 = 40\\) fewer songs than Gabriel.\n\n#### 40", "score": 1.0}, {"id": "gsm8k-578", "gold": "48", "pred_text": "Let's break down the problem step by step.\n\n1. **Starting Value**: Diane gave the number train a starting value of 20. Let's denote this starting value as \\( x \\). So, \\( x = 20 \\).\n\n2. **First Operation**: The problem states that this starting value plus half the number was divided by 5. Since the number is the same as the starting value \\( x \\), we can write this as:\n   \\[\n   \\frac{x + \\frac{x}{2}}{5}\n   \\]\n   Substituting \\( x = 20 \\):\n   \\[\n   \\frac{20 + \\frac{20}{2}}{5} = \\frac{20 + 10}{5} = \\frac{30}{5} = 6\n   \\]\n\n3. **Second Operation**: The resulting value from the first operation (which is 6) is then multiplied by the starting value minus 12. So, we need to calculate:\n   \\[\n   6 \\times (x - 12)\n   \\]\n   Substituting \\( x = 20 \\):\n   \\[\n   6 \\times (20 - 12) = 6 \\times 8 = 48\n   \\]\n\nTherefore, the final value of the number train is \\(\\boxed{48}\\).\n\n#### 48", "score": 1.0}, {"id": "gsm8k-102", "gold": "26", "pred_text": "Let's break down John's water consumption step by step:\n\n1. **Weekdays (Monday to Friday):**\n   - John has a glass of water with breakfast, lunch, and dinner.\n   - He also has a glass of water before bed.\n   - Therefore, each weekday, John drinks 4 glasses of water.\n   - Since there are 5 weekdays, the total number of glasses of water he drinks on weekdays is \\(4 \\times 5 = 20\\).\n\n2. **Weekends (Saturday and Sunday):**\n   - On weekends, John still has a glass of water with breakfast, lunch, and dinner.\n   - However, he has a soda with dinner instead of water.\n   - Therefore, each weekend day, John drinks 3 glasses of water (breakfast, lunch, and before bed).\n   - Since there are 2 weekend days, the total number of glasses of water he drinks on weekends is \\(3 \\times 2 = 6\\).\n\n3. **Total for the week:**\n   - Adding the glasses of water from weekdays and weekends, we get \\(20 + 6 = 26\\).\n\n#### 26", "score": 1.0}, {"id": "gsm8k-821", "gold": "35", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Count of Cars:**\n   Hunter initially counted 50 cars in the school parking lot.\n\n2. **Cars Added During the First Break:**\n   During the first break, he counted 20 more cars. So, the total number of cars after the first break is:\n   \\[\n   50 + 20 = 70\n   \\]\n\n3. **Cars Leaving During the Lunch Break:**\n   When Hunter got out for the lunch break, he noticed that half of the cars had left. Therefore, the number of cars that left is:\n   \\[\n   \\frac{1}{2} \\times 70 = 35\n   \\]\n\n4. **Total Number of Cars During Lunch Break:**\n   The number of cars remaining in the parking lot during the lunch break is:\n   \\[\n   70 - 35 = 35\n   \\]\n\n#### 35", "score": 1.0}, {"id": "gsm8k-365", "gold": "18", "pred_text": "Let's break down the problem step by step:\n\n1. We know there are 6 girls in the park.\n2. The problem states that there are twice the number of boys as there are girls. Therefore, the number of boys is \\(2 \\times 6 = 12\\).\n3. To find the total number of kids in the park, we add the number of girls and the number of boys together: \\(6 + 12 = 18\\).\n\n#### 18", "score": 1.0}, {"id": "gsm8k-1098", "gold": "30", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine Martha's age:**\n   - We know that Mike is 24 years old.\n   - Martha is 4 years younger than Mike.\n   - Therefore, Martha's age is \\(24 - 4 = 20\\) years old.\n\n2. **Determine Jeff's age:**\n   - Jeff is 10 years older than Martha.\n   - Since Martha is 20 years old, Jeff's age is \\(20 + 10 = 30\\) years old.\n\n#### 30", "score": 1.0}, {"id": "gsm8k-106", "gold": "72", "pred_text": "To find the total inner volume of all 3 boxes, we need to first determine the inner dimensions of one box and then calculate its volume. Finally, we will multiply the volume of one box by 3 to get the total volume for all 3 boxes.\n\n### Step 1: Determine the inner dimensions of one box\nEach box has outer dimensions of 5 inches by 6 inches by 4 inches, and the walls are 1 inch thick. This means that the inner dimensions will be reduced by 2 inches in each dimension (1 inch from each side).\n\n- Inner length: \\(6 - 2 \\times 1 = 6 - 2 = 4\\) inches\n- Inner width: \\(5 - 2 \\times 1 = 5 - 2 = 3\\) inches\n- Inner height: \\(4 - 2 \\times 1 = 4 - 2 = 2\\) inches\n\n### Step 2: Calculate the inner volume of one box\nThe volume \\(V\\) of a rectangular box is given by the formula:\n\\[ V = \\text{length} \\times \\text{width} \\times \\text{height} \\]\n\nSubstituting the inner dimensions:\n\\[ V = 4 \\times 3 \\times 2 = 24 \\text{ cubic inches} \\]\n\n### Step 3: Calculate the total inner volume of all 3 boxes\nSince there are 3 boxes, we multiply the volume of one box by 3:\n\\[ \\text{Total volume} = 24 \\times 3 = 72 \\text{ cubic inches} \\]\n\n#### 72", "score": 1.0}, {"id": "gsm8k-119", "gold": "95200", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine Lylah's salary four years ago:**\n   - Adrien's salary four years ago was $40,000.\n   - Adrien's salary was 30% higher than Lylah's.\n   - Let Lylah's salary four years ago be \\( L \\).\n   - Therefore, Adrien's salary four years ago can be expressed as \\( L + 0.3L = 1.3L \\).\n   - Given that Adrien's salary four years ago was $40,000, we can set up the equation:\n     \\[\n     1.3L = 40000\n     \\]\n   - Solving for \\( L \\):\n     \\[\n     L = \\frac{40000}{1.3} \\approx 30769.23\n     \\]\n\n2. **Determine Adrien's salary four years later:**\n   - Adrien's salary four years later is 40% more than what he was making four years ago.\n   - Adrien's salary four years ago was $40,000.\n   - Therefore, his salary four years later is:\n     \\[\n     40000 + 0.4 \\times 40000 = 40000 + 16000 = 56000\n     \\]\n\n3. **Determine Lylah's salary four years later:**\n   - Since Adrien and Lylah's salaries increased simultaneously, and Adrien's salary increased by 40%, Lylah's salary also increased by 40%.\n   - Lylah's salary four years ago was approximately $30,769.23.\n   - Therefore, her salary four years later is:\n     \\[\n     30769.23 + 0.4 \\times 30769.23 = 30769.23 + 12307.69 = 43076.92\n     \\]\n\n4. **Calculate the total salary the two were receiving four years later:**\n   - Adrien's salary four years later is $56,000.\n   - Lylah's salary four years later is approximately $43", "score": 0.0}, {"id": "gsm8k-121", "gold": "27", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of fruits Morisette brought:**\n   - Morisette brought 5 apples and 8 oranges.\n   - Total fruits brought by Morisette = 5 apples + 8 oranges = 13 fruits.\n\n2. **Determine the number of fruits Kael brought:**\n   - Kael brought twice the amount of apples as Morisette.\n     - Twice the number of apples Morisette brought = 2 * 5 = 10 apples.\n   - Kael brought half the number of oranges as Morisette.\n     - Half the number of oranges Morisette brought = 8 / 2 = 4 oranges.\n   - Total fruits brought by Kael = 10 apples + 4 oranges = 14 fruits.\n\n3. **Calculate the total number of fruits brought by both Morisette and Kael:**\n   - Total fruits = Fruits brought by Morisette + Fruits brought by Kael\n   - Total fruits = 13 + 14 = 27 fruits.\n\n#### 27", "score": 1.0}, {"id": "gsm8k-1082", "gold": "2", "pred_text": "Let's break down the problem step by step:\n\n1. **Distance to the Store**: The distance from James' home to the store is 4 miles.\n\n2. **Halfway Point**: James walks halfway to the store, which is \\( \\frac{4 \\text{ miles}}{2} = 2 \\text{ miles} \\).\n\n3. **Realization and Return**: When he reaches the halfway point, he realizes he forgot something at home and has to walk back. The distance he walks back is also 2 miles.\n\n4. **Total Distance Walked**: The total distance James walks is the distance to the halfway point plus the distance back home, which is \\( 2 \\text{ miles} + 2 \\text{ miles} = 4 \\text{ miles} \\).\n\n5. **Walking Speed**: James walks at a speed of 4 miles per hour.\n\n6. **Time Calculation**: To find the time it takes to walk 4 miles at a speed of 4 miles per hour, we use the formula:\n   \\[\n   \\text{Time} = \\frac{\\text{Distance}}{\\text{Speed}}\n   \\]\n   Substituting the values, we get:\n   \\[\n   \\text{Time} = \\frac{4 \\text{ miles}}{4 \\text{ miles per hour}} = 1 \\text{ hour}\n   \\]\n\nTherefore, the time it took James to reach the store is 1 hour. \n\n#### 1", "score": 0.0}, {"id": "gsm8k-833", "gold": "40", "pred_text": "To determine how high Naruto can lift a mountain, we need to follow the relationships given step by step.\n\n1. **Pompei's lifting capacity:**\n   - Pompei can lift a mountain 1 inch high.\n\n2. **Saskay's lifting capacity:**\n   - Saskay can lift a mountain 12 times higher than Pompei.\n   - Therefore, Saskay can lift a mountain \\(12 \\times 1 = 12\\) inches high.\n\n3. **Kagiyami's lifting capacity:**\n   - Kagiyami can lift a mountain 4 times higher than Saskay.\n   - Therefore, Kagiyami can lift a mountain \\(4 \\times 12 = 48\\) inches high.\n\n4. **Naruto's lifting capacity:**\n   - Naruto can lift a mountain 10 times higher than Kagiyami.\n   - Therefore, Naruto can lift a mountain \\(10 \\times 48 = 480\\) inches high.\n\n5. **Convert inches to feet:**\n   - There are 12 inches in a foot.\n   - Therefore, \\(480\\) inches is \\(\\frac{480}{12} = 40\\) feet.\n\n#### 40", "score": 1.0}, {"id": "gsm8k-1220", "gold": "32", "pred_text": "To solve this problem, let's define the length of the shorter piece as \\( x \\) feet. Since the longer piece is 4 times longer than the shorter piece, the length of the longer piece will be \\( 4x \\) feet.\n\nGiven that the total length of the board is 40 feet, we can set up the following equation to represent the total length:\n\n\\[ x + 4x = 40 \\]\n\nCombining like terms, we get:\n\n\\[ 5x = 40 \\]\n\nTo find the value of \\( x \\), we divide both sides of the equation by 5:\n\n\\[ x = \\frac{40}{5} = 8 \\]\n\nSo, the shorter piece is 8 feet long. Since the longer piece is 4 times the length of the shorter piece, we calculate the length of the longer piece as follows:\n\n\\[ 4x = 4 \\times 8 = 32 \\]\n\nTherefore, the length of the longer piece is 32 feet.\n\n#### 32", "score": 1.0}, {"id": "gsm8k-1142", "gold": "9", "pred_text": "Let's break down the problem step by step.\n\n1. **Identify the number of green jelly beans:**\n   - Jess can see that there are 17 green jelly beans.\n\n2. **Determine the number of red jelly beans:**\n   - The problem states that there are twice as many red jelly beans as green jelly beans.\n   - Therefore, the number of red jelly beans is \\(2 \\times 17 = 34\\).\n\n3. **Calculate the total number of green and red jelly beans:**\n   - The total number of green and red jelly beans is \\(17 + 34 = 51\\).\n\n4. **Determine the number of blue jelly beans:**\n   - The total number of jelly beans in the jar is 60.\n   - The number of blue jelly beans is the total number of jelly beans minus the number of green and red jelly beans.\n   - Therefore, the number of blue jelly beans is \\(60 - 51 = 9\\).\n\n#### 9", "score": 1.0}, {"id": "gsm8k-1287", "gold": "84", "pred_text": "Let's break down the information given and calculate the total age of all the siblings step by step.\n\n1. **Identify the ages of the sisters:**\n   - There are 3 sisters, and all of them are 16 years old.\n   - Total age of the sisters = \\(3 \\times 16 = 48\\) years.\n\n2. **Identify the ages of the brothers:**\n   - One brother is 12 years old.\n   - The other brother is older and is twice the age of the 12-year-old brother.\n   - Age of the older brother = \\(2 \\times 12 = 24\\) years.\n   - Total age of the brothers = \\(12 + 24 = 36\\) years.\n\n3. **Calculate the total age of all siblings:**\n   - Total age of all siblings = Total age of the sisters + Total age of the brothers\n   - Total age of all siblings = \\(48 + 36 = 84\\) years.\n\n#### 84", "score": 1.0}, {"id": "gsm8k-1179", "gold": "50", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Number of Teeth**: James has 30 teeth.\n\n2. **Teeth Drilled**: The dentist drills 4 of them.\n   - Teeth drilled = 4\n\n3. **Teeth Capped**: The dentist caps 7 more teeth than he drills.\n   - Teeth capped = Teeth drilled + 7 = 4 + 7 = 11\n\n4. **Total Teeth Fixed**: The total number of teeth fixed (drilled and capped) is the sum of the teeth drilled and the teeth capped.\n   - Total teeth fixed = Teeth drilled + Teeth capped = 4 + 11 = 15\n\n5. **Percentage of Teeth Fixed**: To find the percentage of James' teeth that the dentist fixes, we use the formula:\n   \\[\n   \\text{Percentage fixed} = \\left( \\frac{\\text{Total teeth fixed}}{\\text{Initial number of teeth}} \\right) \\times 100\n   \\]\n   Substituting the values:\n   \\[\n   \\text{Percentage fixed} = \\left( \\frac{15}{30} \\right) \\times 100 = 0.5 \\times 100 = 50\\%\n   \\]\n\n#### 50", "score": 1.0}, {"id": "gsm8k-249", "gold": "5,600", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of cookies Sue ate on Monday:**\n   - Sue ate 4 times as many cookies as her sister on Monday.\n   - Her sister ate 5 cookies on Monday.\n   - Therefore, Sue ate \\(4 \\times 5 = 20\\) cookies on Monday.\n\n2. **Determine the number of cookies Sue ate on Tuesday:**\n   - Sue ate twice as many cookies as her sister on Tuesday.\n   - Her sister ate 13 cookies on Tuesday.\n   - Therefore, Sue ate \\(2 \\times 13 = 26\\) cookies on Tuesday.\n\n3. **Calculate the total number of cookies Sue ate over the two days:**\n   - Sue ate 20 cookies on Monday and 26 cookies on Tuesday.\n   - Therefore, Sue ate \\(20 + 26 = 46\\) cookies in total.\n\n4. **Calculate the total number of cookies Sue's sister ate over the two days:**\n   - Her sister ate 5 cookies on Monday and 13 cookies on Tuesday.\n   - Therefore, her sister ate \\(5 + 13 = 18\\) cookies in total.\n\n5. **Calculate the difference in the number of cookies eaten:**\n   - Sue ate 46 cookies and her sister ate 18 cookies.\n   - Therefore, Sue ate \\(46 - 18 = 28\\) more cookies than her sister.\n\n6. **Calculate the difference in calories consumed:**\n   - Each cookie has 200 calories.\n   - Therefore, the additional calories Sue consumed are \\(28 \\times 200 = 5600\\) calories.\n\n#### 5600", "score": 1.0}, {"id": "gsm8k-1291", "gold": "27", "pred_text": "Let's break down the problem step by step:\n\n1. **Determine the number of pens Timothy has:**\n   - George has 18 pens.\n   - Timothy has three times the number of pens that George owns.\n   - Therefore, Timothy has \\(3 \\times 18 = 54\\) pens.\n\n2. **Determine the number of pens Sarah has:**\n   - Sarah has half as many pens as Timothy.\n   - Therefore, Sarah has \\(\\frac{54}{2} = 27\\) pens.\n\n#### 27", "score": 1.0}, {"id": "gsm8k-512", "gold": "120", "pred_text": "To determine how many milliliters of water Hannah will need to drink, we can break the problem down into a few steps:\n\n1. **Calculate the total distance Hannah will run:**\n   - Hannah is told to run 8 laps.\n   - Each lap is 0.25 km.\n   - Therefore, the total distance is \\(8 \\times 0.25 \\, \\text{km} = 2 \\, \\text{km}\\).\n\n2. **Calculate the total amount of water needed:**\n   - Hannah needs to drink 60 ml of water for each kilometer she runs.\n   - Since she will run 2 km, the total amount of water needed is \\(2 \\, \\text{km} \\times 60 \\, \\text{ml/km} = 120 \\, \\text{ml}\\).\n\n#### 120", "score": 1.0}, {"id": "gsm8k-763", "gold": "100", "pred_text": "Let's denote the number of cases of shingles needed for the first house as \\( F \\), for the second house as \\( S \\), and for the third house as \\( T \\).\n\nAccording to the problem, we have the following relationships:\n1. The total number of cases of shingles needed for all three houses is 250.\n2. The first house needs half the number of cases of shingles as the second house, so \\( F = \\frac{1}{2}S \\).\n3. The third house needs double the number of cases of shingles as the first house, so \\( T = 2F \\).\n\nWe can express the total number of cases of shingles as:\n\\[ F + S + T = 250 \\]\n\nSubstituting the relationships into the equation, we get:\n\\[ F + S + 2F = 250 \\]\n\\[ 3F + S = 250 \\]\n\nSince \\( F = \\frac{1}{2}S \\), we can substitute \\( S \\) in terms of \\( F \\):\n\\[ S = 2F \\]\n\nNow substitute \\( S = 2F \\) into the equation \\( 3F + S = 250 \\):\n\\[ 3F + 2F = 250 \\]\n\\[ 5F = 250 \\]\n\\[ F = 50 \\]\n\nNow that we have \\( F \\), we can find \\( S \\) and \\( T \\):\n\\[ S = 2F = 2 \\times 50 = 100 \\]\n\\[ T = 2F = 2 \\times 50 = 100 \\]\n\nSo, the third house will need 100 cases of shingles.\n\n#### 100", "score": 1.0}, {"id": "gsm8k-176", "gold": "100", "pred_text": "Let's break down the problem step by step:\n\n1. **Total number of Asians in the race**: 240\n2. **Number of Japanese participants**: 80\n3. **Number of Chinese participants**: The rest of the participants are Chinese. So, we subtract the number of Japanese from the total number of Asians.\n   \\[\n   \\text{Number of Chinese participants} = 240 - 80 = 160\n   \\]\n4. **Number of boys on the Chinese team**: 60\n5. **Number of girls on the Chinese team**: To find the number of girls, we subtract the number of boys from the total number of Chinese participants.\n   \\[\n   \\text{Number of girls on the Chinese team} = 160 - 60 = 100\n   \\]\n\n#### 100", "score": 1.0}, {"id": "gsm8k-444", "gold": "20", "pred_text": "Let's break down the problem step by step.\n\n1. **Convert Movie C's length to minutes:**\n   - Movie C is given as 1.25 hours.\n   - Since 1 hour = 60 minutes, 1.25 hours = 1.25 × 60 minutes.\n   - 1.25 × 60 = 75 minutes.\n   - So, Movie C is 75 minutes long.\n\n2. **Determine the length of Movie B:**\n   - Movie B is 5 minutes longer than Movie C.\n   - Therefore, Movie B = 75 minutes + 5 minutes = 80 minutes.\n\n3. **Determine the length of Movie A:**\n   - Movie A is one-fourth the length of Movie B.\n   - Therefore, Movie A = \\(\\frac{1}{4} \\times 80\\) minutes.\n   - \\(\\frac{1}{4} \\times 80 = 20\\) minutes.\n\nSo, the length of Movie A is 20 minutes.\n\n#### 20", "score": 1.0}, {"id": "gsm8k-616", "gold": "10", "pred_text": "Let's break down the growth of the beanstalk week by week.\n\n1. **After the first week:**\n   - The beanstalk was 3 inches tall.\n\n2. **After the second week:**\n   - The beanstalk doubled in height. So, we calculate the new height by multiplying the height after the first week by 2.\n   - Height after the second week = 3 inches * 2 = 6 inches.\n\n3. **After the third week:**\n   - The beanstalk grew an additional 4 inches.\n   - Height after the third week = Height after the second week + 4 inches = 6 inches + 4 inches = 10 inches.\n\n#### 10", "score": 1.0}, {"id": "gsm8k-1256", "gold": "15", "pred_text": "To determine how long it will take Phineas Frog to return home, we need to break down the journey into two parts: the land part and the water part. Given that the total distance is 200 yards and half of the distance is on land and the other half is in water, we can calculate the distance for each part as follows:\n\n1. **Calculate the distance on land and in water:**\n   - Total distance: 200 yards\n   - Half of the distance on land: \\( \\frac{200}{2} = 100 \\) yards\n   - Half of the distance in water: \\( \\frac{200}{2} = 100 \\) yards\n\n2. **Calculate the time taken to hop on land:**\n   - Speed on land: 20 yards per minute\n   - Distance on land: 100 yards\n   - Time on land: \\( \\frac{100 \\text{ yards}}{20 \\text{ yards per minute}} = 5 \\text{ minutes} \\)\n\n3. **Calculate the time taken to swim in water:**\n   - Speed in water: 10 yards per minute\n   - Distance in water: 100 yards\n   - Time in water: \\( \\frac{100 \\text{ yards}}{10 \\text{ yards per minute}} = 10 \\text{ minutes} \\)\n\n4. **Calculate the total time for the journey:**\n   - Total time: Time on land + Time in water\n   - Total time: \\( 5 \\text{ minutes} + 10 \\text{ minutes} = 15 \\text{ minutes} \\)\n\nTherefore, the total time it will take Phineas Frog to return home is 15 minutes. \n\n#### 15", "score": 1.0}, {"id": "gsm8k-1040", "gold": "736", "pred_text": "Let's break down the problem step by step.\n\n1. **Monday's Delivery:**\n   - The post office delivered 425 letters on Monday.\n\n2. **Tuesday's Delivery:**\n   - On Tuesday, they delivered 17 more than one-fifth as many letters as they did on Monday.\n   - One-fifth of Monday's delivery: \\( \\frac{425}{5} = 85 \\)\n   - Therefore, Tuesday's delivery: \\( 85 + 17 = 102 \\)\n\n3. **Wednesday's Delivery:**\n   - On Wednesday, they delivered 5 more than twice as many letters as they did on Tuesday.\n   - Twice Tuesday's delivery: \\( 2 \\times 102 = 204 \\)\n   - Therefore, Wednesday's delivery: \\( 204 + 5 = 209 \\)\n\n4. **Total Delivery from Monday to Wednesday:**\n   - Sum of Monday, Tuesday, and Wednesday's deliveries: \\( 425 + 102 + 209 \\)\n\nNow, let's add these numbers together:\n\n\\[ 425 + 102 + 209 = 736 \\]\n\n#### 736", "score": 1.0}, {"id": "gsm8k-370", "gold": "320", "pred_text": "To determine the total cost if Ethan made his own hand-painted wallpaper, we need to calculate the savings from the DIY approach and then subtract that from the original market price.\n\n1. **Identify the original cost of the hand-painted wallpaper:**\n   The original cost is $400.\n\n2. **Calculate the savings from the DIY approach:**\n   The DIY approach saves 20% of the original cost. To find 20% of $400, we use the formula:\n   \\[\n   \\text{Savings} = \\text{Original Cost} \\times \\frac{\\text{Percentage Savings}}{100}\n   \\]\n   Substituting the values:\n   \\[\n   \\text{Savings} = 400 \\times \\frac{20}{100} = 400 \\times 0.20 = 80\n   \\]\n\n3. **Calculate the total cost of making the wallpaper DIY:**\n   The total cost is the original cost minus the savings:\n   \\[\n   \\text{Total Cost} = \\text{Original Cost} - \\text{Savings}\n   \\]\n   Substituting the values:\n   \\[\n   \\text{Total Cost} = 400 - 80 = 320\n   \\]\n\n#### 320", "score": 1.0}, {"id": "gsm8k-1308", "gold": "30", "pred_text": "Let's break down the problem step by step:\n\n1. **Identify the number of eggs in the first basket:**\n   - The first basket has 10 eggs.\n\n2. **Determine the number of eggs in the second basket:**\n   - The problem states that there are twice as many eggs in the second basket as in the first basket.\n   - Therefore, the number of eggs in the second basket is \\(2 \\times 10 = 20\\).\n\n3. **Calculate the total number of eggs in both baskets:**\n   - Add the number of eggs in the first basket to the number of eggs in the second basket.\n   - Total eggs = 10 (first basket) + 20 (second basket) = 30.\n\n#### 30", "score": 1.0}, {"id": "gsm8k-601", "gold": "104", "pred_text": "Let's break down the problem step by step to find out how many games Steve has after 3 years.\n\n1. **Initial Games:**\n   - Steve receives 5 games for his birthday.\n   - He also gets 5 games for Christmas each year for 3 years.\n   - Total initial games = 5 (birthday) + 5 (Christmas) + 5 (Christmas) + 5 (Christmas) = 5 + 5 + 5 + 5 = 20 games.\n\n2. **Games Bought in the First Year:**\n   - Steve buys 1 game per month for 12 months.\n   - Total games bought in the first year = 1 game/month * 12 months = 12 games.\n\n3. **Games Bought in the Second Year:**\n   - Steve buys 2 games per month for 12 months.\n   - Total games bought in the second year = 2 games/month * 12 months = 24 games.\n\n4. **Games Bought in the Third Year:**\n   - Steve buys 4 games per month for 12 months.\n   - Total games bought in the third year = 4 games/month * 12 months = 48 games.\n\n5. **Total Games After 3 Years:**\n   - Sum of all games = Initial games + Games bought in the first year + Games bought in the second year + Games bought in the third year.\n   - Total games = 20 + 12 + 24 + 48 = 104 games.\n\n#### 104", "score": 1.0}, {"id": "gsm8k-59", "gold": "187", "pred_text": "To find the total number of raspberries on the bush, we need to add the number of raspberries in the clusters to the number of individual raspberries.\n\nStep 1: Calculate the total number of raspberries in the clusters.\n- There are 6 clusters of raspberries.\n- Each cluster contains 20 raspberries.\n- Therefore, the total number of raspberries in the clusters is \\(6 \\times 20 = 120\\).\n\nStep 2: Add the number of individual raspberries.\n- There are 67 individual raspberries scattered across the bush.\n- Therefore, the total number of raspberries is \\(120 + 67\\).\n\nStep 3: Perform the addition.\n- \\(120 + 67 = 187\\).\n\n#### 187", "score": 1.0}, {"id": "gsm8k-183", "gold": "2", "pred_text": "To determine how many seconds the faster team will win by, we need to calculate the total time taken by each team to complete the 4 by 400 meter relay and then find the difference between these times.\n\n**Step 1: Calculate the total time for the well-rounded team.**\n\nThe well-rounded team has four members, and each member runs 400 meters in exactly 55 seconds. Therefore, the total time for the well-rounded team is:\n\\[ 55 \\text{ seconds} \\times 4 = 220 \\text{ seconds} \\]\n\n**Step 2: Calculate the total time for the less well-rounded team.**\n\nThe less well-rounded team has four members, with the first runner taking 60 seconds and each subsequent runner being 3 seconds faster than the previous one. Let's break this down:\n\n- The first runner takes 60 seconds.\n- The second runner takes \\(60 - 3 = 57\\) seconds.\n- The third runner takes \\(57 - 3 = 54\\) seconds.\n- The fourth runner takes \\(54 - 3 = 51\\) seconds.\n\nAdding these times together gives the total time for the less well-rounded team:\n\\[ 60 + 57 + 54 + 51 = 222 \\text{ seconds} \\]\n\n**Step 3: Determine the difference in time between the two teams.**\n\nThe faster team (well-rounded team) takes 220 seconds, and the slower team (less well-rounded team) takes 222 seconds. The difference in time is:\n\\[ 222 - 220 = 2 \\text{ seconds} \\]\n\n#### 2", "score": 1.0}, {"id": "gsm8k-1163", "gold": "12", "pred_text": "To determine how many face masks Tyrion uses every 2 days, we can break down the problem step by step.\n\n1. **Determine the number of face masks used per outing:**\n   - Tyrion changes his face mask two times every time he goes out.\n\n2. **Determine the number of outings per day:**\n   - Tyrion goes out three times a day.\n\n3. **Calculate the number of face masks used per day:**\n   - Since he changes his mask twice per outing and goes out three times a day, the number of face masks used per day is:\n     \\[\n     2 \\text{ masks/outing} \\times 3 \\text{ outings/day} = 6 \\text{ masks/day}\n     \\]\n\n4. **Calculate the number of face masks used over 2 days:**\n   - If he uses 6 face masks per day, then over 2 days, the number of face masks used is:\n     \\[\n     6 \\text{ masks/day} \\times 2 \\text{ days} = 12 \\text{ masks}\n     \\]\n\n#### 12", "score": 1.0}, {"id": "gsm8k-1305", "gold": "2325", "pred_text": "To find out how many chocolate chip cookies the Adams family has made, we need to follow these steps:\n\n1. **Identify the total number of cookies made**: The Adams family has made 7995 cookies in total.\n\n2. **Identify the number of each type of cookie made**:\n   - Rainbow cookies: 2595\n   - Oatmeal cookies: 3075\n\n3. **Calculate the total number of rainbow and oatmeal cookies**:\n   \\[\n   2595 \\text{ (rainbow cookies)} + 3075 \\text{ (oatmeal cookies)} = 5670 \\text{ (total rainbow and oatmeal cookies)}\n   \\]\n\n4. **Subtract the total number of rainbow and oatmeal cookies from the total number of cookies to find the number of chocolate chip cookies**:\n   \\[\n   7995 \\text{ (total cookies)} - 5670 \\text{ (rainbow and oatmeal cookies)} = 2325 \\text{ (chocolate chip cookies)}\n   \\]\n\n#### 2325", "score": 1.0}, {"id": "gsm8k-820", "gold": "720", "pred_text": "To calculate the total time Sandy took to walk in the two days in minutes, we can follow these steps:\n\n1. **Determine the time Sandy walked on the first day:**\n   - Sandy walked for 8 hours on the first day.\n\n2. **Calculate the time Sandy walked on the second day:**\n   - She walked half as many hours on the second day as she did on the first day.\n   - Therefore, the time on the second day is \\( \\frac{8}{2} = 4 \\) hours.\n\n3. **Calculate the total time Sandy walked over the two days in hours:**\n   - Total time = Time on the first day + Time on the second day\n   - Total time = 8 hours + 4 hours = 12 hours\n\n4. **Convert the total time from hours to minutes:**\n   - There are 60 minutes in an hour.\n   - Total time in minutes = 12 hours * 60 minutes/hour = 720 minutes\n\nTherefore, the total time Sandy took to walk in the two days is **720 minutes**.\n\n#### 720", "score": 1.0}, {"id": "gsm8k-1029", "gold": "34", "pred_text": "Let's break down the problem step by step to find out how many balloons Sally finally carried into the school.\n\n1. **Initial Balloons:**\n   - Red balloons: 25\n   - Green balloons: 7\n   - Yellow balloons: 12\n\n2. **Red Balloons Burst:**\n   - 40% of the red balloons burst.\n   - Number of red balloons that burst: \\( 25 \\times 0.40 = 10 \\)\n   - Remaining red balloons: \\( 25 - 10 = 15 \\)\n\n3. **Yellow Balloons Released:**\n   - Sally accidentally released half of the yellow balloons.\n   - Number of yellow balloons released: \\( 12 \\times 0.50 = 6 \\)\n   - Remaining yellow balloons: \\( 12 - 6 = 6 \\)\n\n4. **Blue Balloons Found:**\n   - Sally found 8 blue balloons caught in a tree.\n   - She added 75% of these blue balloons to her remaining clutch.\n   - Number of blue balloons added: \\( 8 \\times 0.75 = 6 \\)\n\n5. **Total Balloons Carried into School:**\n   - Red balloons: 15\n   - Green balloons: 7\n   - Yellow balloons: 6\n   - Blue balloons: 6\n\n   Total number of balloons: \\( 15 + 7 + 6 + 6 = 34 \\)\n\n#### 34", "score": 1.0}, {"id": "gsm8k-465", "gold": "30", "pred_text": "To determine how many students Miss Maria has, we need to follow these steps:\n\n1. **Calculate the total number of basketball cards:**\n   - Miss Maria has 6 decks with 25 basketball cards in each deck.\n   - Total basketball cards = \\(6 \\times 25 = 150\\).\n\n2. **Calculate the total number of baseball cards:**\n   - Miss Maria has 5 boxes with 40 baseball cards in each box.\n   - Total baseball cards = \\(5 \\times 40 = 200\\).\n\n3. **Calculate the total number of cards:**\n   - Total cards = Total basketball cards + Total baseball cards\n   - Total cards = \\(150 + 200 = 350\\).\n\n4. **Determine the number of cards given to students:**\n   - Miss Maria keeps 50 cards for herself.\n   - Cards given to students = Total cards - Cards kept\n   - Cards given to students = \\(350 - 50 = 300\\).\n\n5. **Calculate the number of students:**\n   - Each student receives 10 cards.\n   - Number of students = Cards given to students / Cards per student\n   - Number of students = \\(300 / 10 = 30\\).\n\n#### 30", "score": 1.0}, {"id": "gsm8k-557", "gold": "70", "pred_text": "Let's break down the problem step by step:\n\n1. **Total number of buttons**: The bag contains 21 buttons in total.\n\n2. **Buttons with two holes**: There are 7 buttons that have 2 holes each.\n\n3. **Buttons with four holes**: The rest of the buttons have 4 holes each. To find out how many buttons have 4 holes, we subtract the number of buttons with 2 holes from the total number of buttons:\n   \\[\n   21 - 7 = 14\n   \\]\n   So, there are 14 buttons with 4 holes.\n\n4. **Calculate the total number of holes from the buttons with two holes**:\n   \\[\n   7 \\text{ buttons} \\times 2 \\text{ holes per button} = 14 \\text{ holes}\n   \\]\n\n5. **Calculate the total number of holes from the buttons with four holes**:\n   \\[\n   14 \\text{ buttons} \\times 4 \\text{ holes per button} = 56 \\text{ holes}\n   \\]\n\n6. **Add the holes from both types of buttons to get the total number of holes**:\n   \\[\n   14 \\text{ holes} + 56 \\text{ holes} = 70 \\text{ holes}\n   \\]\n\n#### 70", "score": 1.0}, {"id": "gsm8k-159", "gold": "15", "pred_text": "Let's break down the problem step by step:\n\n1. Initially, Finn watches 11 tadpoles swimming in the pond.\n2. Then, 6 of these tadpoles come out from under a lily pad. Since they were initially swimming and then came out from hiding, the total number of tadpoles remains 11, but now 6 of them are visible.\n3. After that, 2 of the tadpoles hide under a rock. These 2 tadpoles are no longer visible.\n\nTo find out how many tadpoles Finn can see now, we need to subtract the 2 tadpoles that hid under the rock from the 6 that were initially visible:\n\n- Initially visible tadpoles: 6\n- Tadpoles that hid: 2\n\nSo, the number of tadpoles Finn can see now is \\(6 - 2 = 4\\).\n\n#### 4", "score": 0.0}, {"id": "gsm8k-255", "gold": "192", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Number of Cows:**\n   - There are 10 stalls, and each stall has 20 cows.\n   - Therefore, the total number of cows initially is \\(10 \\times 20 = 200\\) cows.\n\n2. **Cows Bought by Mr. Sylas:**\n   - Mr. Sylas buys 40 more cows.\n\n3. **Total Number of Cows After Purchase:**\n   - Adding the 40 new cows to the initial 200 cows, the total number of cows is \\(200 + 40 = 240\\) cows.\n\n4. **Dividing the New Cows Equally Among the Stalls:**\n   - Mr. Sylas divides the 40 new cows equally among the 20 stalls.\n   - Therefore, each stall gets \\(40 \\div 20 = 2\\) new cows.\n\n5. **Total Number of Cows in Each Stall:**\n   - Each stall originally had 20 cows, and now each stall gets 2 more cows.\n   - So, each stall now has \\(20 + 2 = 22\\) cows.\n\n6. **Number of Cows in 8 Stalls:**\n   - If each of the 8 stalls has 22 cows, then the total number of cows in 8 stalls is \\(8 \\times 22 = 176\\).\n\n#### 176", "score": 0.0}, {"id": "gsm8k-507", "gold": "2", "pred_text": "To determine how much Janet would save by buying a weekly bus pass, we need to follow these steps:\n\n1. **Calculate the total cost of bus trips without the weekly pass:**\n   - Janet takes 2 bus trips each day.\n   - She does this 5 days a week.\n   - Each bus trip costs $2.20.\n\n   First, find the total number of bus trips per week:\n   \\[\n   2 \\text{ trips/day} \\times 5 \\text{ days/week} = 10 \\text{ trips/week}\n   \\]\n\n   Next, calculate the total cost of these trips:\n   \\[\n   10 \\text{ trips/week} \\times \\$2.20 \\text{ per trip} = \\$22.00 \\text{ per week}\n   \\]\n\n2. **Determine the cost of the weekly bus pass:**\n   - The weekly bus pass costs $20.\n\n3. **Calculate the savings:**\n   - Subtract the cost of the weekly bus pass from the total cost of bus trips without the pass:\n   \\[\n   \\$22.00 - \\$20.00 = \\$2.00\n   \\]\n\nTherefore, Janet would save \\(\\boxed{2}\\) dollars by buying a weekly bus pass.", "score": 1.0}, {"id": "gsm8k-724", "gold": "18", "pred_text": "Let's break down the problem step by step.\n\n1. **Total number of pizzas ordered:**\n   - Bryce and his four friends each ordered one pizza.\n   - Therefore, the total number of pizzas is \\(1 + 4 = 5\\).\n\n2. **Total number of pizza slices:**\n   - Each pizza has 12 slices.\n   - Therefore, the total number of slices is \\(5 \\times 12 = 60\\).\n\n3. **Slices eaten by Bryce and two friends:**\n   - Bryce and two friends each ate \\(\\frac{2}{3}\\) of their pizzas.\n   - Each of these three people ate \\(\\frac{2}{3} \\times 12 = 8\\) slices.\n   - Therefore, the total number of slices eaten by Bryce and his two friends is \\(3 \\times 8 = 24\\).\n\n4. **Slices eaten by the two remaining friends:**\n   - The two remaining friends each ate \\(\\frac{3}{4}\\) of their pizzas.\n   - Each of these two people ate \\(\\frac{3}{4} \\times 12 = 9\\) slices.\n   - Therefore, the total number of slices eaten by the two remaining friends is \\(2 \\times 9 = 18\\).\n\n5. **Total slices eaten:**\n   - The total number of slices eaten by all five friends is \\(24 + 18 = 42\\).\n\n6. **Slices left:**\n   - The total number of slices left is the total number of slices minus the total number of slices eaten.\n   - Therefore, the number of slices left is \\(60 - 42 = 18\\).\n\n#### 18", "score": 1.0}, {"id": "gsm8k-739", "gold": "98", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the cost of a half-gallon jar:**\n   - We know that a gallon jar costs $5.\n   - A gallon jar costs $2 more than a half-gallon jar.\n   - Therefore, the cost of a half-gallon jar is \\(5 - 2 = 3\\) dollars.\n\n2. **Calculate the cost of 10 gallon jars:**\n   - Each gallon jar costs $5.\n   - For 10 gallon jars, the total cost is \\(10 \\times 5 = 50\\) dollars.\n\n3. **Calculate the cost of 16 half-gallon jars:**\n   - Each half-gallon jar costs $3.\n   - For 16 half-gallon jars, the total cost is \\(16 \\times 3 = 48\\) dollars.\n\n4. **Calculate the total amount of money spent:**\n   - The total cost is the sum of the cost of the gallon jars and the half-gallon jars.\n   - Therefore, the total amount of money spent is \\(50 + 48 = 98\\) dollars.\n\n#### 98", "score": 1.0}, {"id": "gsm8k-734", "gold": "17", "pred_text": "Let's break down the problem step by step to find the total weight of Cindy's books.\n\n1. **Math and Science Books:**\n   - Each math and science book weighs 2 pounds.\n   - Since there are two books (one math and one science), the total weight for these books is:\n     \\[\n     2 \\text{ books} \\times 2 \\text{ pounds/book} = 4 \\text{ pounds}\n     \\]\n\n2. **French Book:**\n   - The French book weighs 4 pounds.\n\n3. **English Book:**\n   - The English book weighs 3 pounds.\n\n4. **History Book:**\n   - The history book weighs twice as much as the English book.\n   - Since the English book weighs 3 pounds, the history book weighs:\n     \\[\n     2 \\times 3 \\text{ pounds} = 6 \\text{ pounds}\n     \\]\n\n5. **Total Weight Calculation:**\n   - Now, we add the weights of all the books together:\n     \\[\n     4 \\text{ pounds (math and science)} + 4 \\text{ pounds (French)} + 3 \\text{ pounds (English)} + 6 \\text{ pounds (history)} = 17 \\text{ pounds}\n     \\]\n\nTherefore, the total weight of the books Cindy is carrying is **17 pounds**.\n\n#### 17", "score": 1.0}, {"id": "gsm8k-632", "gold": "45", "pred_text": "Let's break down the problem step by step:\n\n1. **Snowflake Stamps:**\n   - Max bought 16 snowflake stamps.\n\n2. **Truck Stamps:**\n   - Max bought 3 more truck stamps than snowflake stamps.\n   - Therefore, the number of truck stamps = 16 (snowflake stamps) + 3 = 19.\n\n3. **Rose Stamps:**\n   - Max bought 9 fewer rose stamps than truck stamps.\n   - Therefore, the number of rose stamps = 19 (truck stamps) - 9 = 10.\n\n4. **Total Stamps:**\n   - To find the total number of stamps, we add the number of each type of stamp together.\n   - Total stamps = 16 (snowflake) + 19 (truck) + 10 (rose) = 45.\n\n#### 45", "score": 1.0}, {"id": "gsm8k-231", "gold": "50", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine how many shells Robert collects on Monday:**\n   Robert collects 20 shells on Monday.\n\n2. **Determine how many shells Kylie collects on Monday:**\n   Kylie collects 5 more shells than Robert on Monday. Since Robert collects 20 shells, Kylie collects:\n   \\[\n   20 + 5 = 25 \\text{ shells}\n   \\]\n\n3. **Determine how many shells Kylie collects on Tuesday:**\n   On Tuesday, Kylie collects 2 times more shells than she did on Monday. Since she collected 25 shells on Monday, on Tuesday she collects:\n   \\[\n   2 \\times 25 = 50 \\text{ shells}\n   \\]\n\n#### 50", "score": 1.0}, {"id": "gsm8k-206", "gold": "860", "pred_text": "To find out how many kilometers Micheal rode in total, we need to break down the problem into two parts: the first four weeks and the next three weeks.\n\n**Step 1: Calculate the distance for the first four weeks.**\n- Micheal rode his bike at least 5 times a week.\n- Each ride was 25 kilometers.\n- He did this for 4 weeks.\n\nThe total distance for the first four weeks is:\n\\[ 5 \\text{ rides/week} \\times 25 \\text{ km/ride} \\times 4 \\text{ weeks} = 500 \\text{ km} \\]\n\n**Step 2: Calculate the distance for the next three weeks.**\n- Micheal rode his bike 2 times a week.\n- Each ride was 60 kilometers.\n- He did this for 3 weeks.\n\nThe total distance for the next three weeks is:\n\\[ 2 \\text{ rides/week} \\times 60 \\text{ km/ride} \\times 3 \\text{ weeks} = 360 \\text{ km} \\]\n\n**Step 3: Add the distances from both periods to get the total distance.**\n\\[ 500 \\text{ km} + 360 \\text{ km} = 860 \\text{ km} \\]\n\n#### 860", "score": 1.0}, {"id": "gsm8k-461", "gold": "9", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine how many plants Toni has:**\n   - Frederick has 10 plants.\n   - Toni has 60% more plants than Frederick.\n   - To find 60% of Frederick's plants: \\( 10 \\times 0.60 = 6 \\).\n   - Therefore, Toni has \\( 10 + 6 = 16 \\) plants.\n\n2. **Determine how many plants Shondra has:**\n   - Shondra has 7 fewer plants than Toni.\n   - Toni has 16 plants.\n   - Therefore, Shondra has \\( 16 - 7 = 9 \\) plants.\n\n#### 9", "score": 1.0}, {"id": "gsm8k-861", "gold": "30", "pred_text": "Let's break down the problem step by step:\n\n1. **Claire's badge earning rate:**\n   - Claire earns 1 girl scout badge every month.\n   - In a year (12 months), Claire earns \\(12 \\times 1 = 12\\) badges.\n\n2. **Amber's badge earning rate:**\n   - Amber takes twice as long as Claire to earn a badge.\n   - Since Claire earns 1 badge per month, Amber earns 1 badge every 2 months.\n   - In a year (12 months), Amber earns \\(\\frac{12}{2} = 6\\) badges.\n\n3. **Wendy's badge earning rate:**\n   - Wendy earns three times the amount of badges as Claire in the same time frame.\n   - In a year (12 months), Wendy earns \\(12 \\times 3 = 36\\) badges.\n\n4. **Difference in badges earned between Wendy and Amber:**\n   - Wendy earns 36 badges in a year.\n   - Amber earns 6 badges in a year.\n   - The difference is \\(36 - 6 = 30\\) badges.\n\n#### 30", "score": 1.0}, {"id": "gsm8k-951", "gold": "300", "pred_text": "To determine the number of pages in the book, we need to follow these steps:\n\n1. **Understand the given information:**\n   - The paper is stacked such that 100 pages are in 1 inch.\n   - The book is 1.5 inches thick.\n   - Each paper is printed on both sides, with one page on each side.\n\n2. **Calculate the number of pages per inch:**\n   - We know that 100 pages are in 1 inch.\n\n3. **Calculate the total number of pages in 1.5 inches:**\n   - Since 100 pages are in 1 inch, in 1.5 inches, the number of pages would be:\n     \\[\n     100 \\text{ pages/inch} \\times 1.5 \\text{ inches} = 150 \\text{ pages}\n     \\]\n\n4. **Consider the double-sided printing:**\n   - Each paper is printed on both sides, meaning each sheet of paper contributes 2 pages to the book.\n   - Therefore, the total number of pages (150) is the number of sheets of paper multiplied by 2.\n\n5. **Calculate the number of sheets of paper:**\n   - Let \\( S \\) be the number of sheets of paper.\n   - Since each sheet contributes 2 pages, we have:\n     \\[\n     2S = 150\n     \\]\n   - Solving for \\( S \\):\n     \\[\n     S = \\frac{150}{2} = 75\n     \\]\n\n6. **Determine the total number of pages in the book:**\n   - Since each sheet of paper has 2 pages, the total number of pages in the book is:\n     \\[\n     150 \\text{ pages}\n     \\]\n\n#### 150", "score": 0.0}, {"id": "gsm8k-500", "gold": "16", "pred_text": "Let's define the number of insects found by each person with variables:\n- Let \\( B \\) be the number of insects found by Bodhi.\n- Let \\( D \\) be the number of insects found by David.\n- Let \\( L \\) be the number of insects found by Lily.\n\nFrom the problem, we have the following information:\n1. Together, they collected 43 insects: \\( L + D + B = 43 \\).\n2. Lily found 7 more than David: \\( L = D + 7 \\).\n3. David found half of what Bodhi found: \\( D = \\frac{1}{2}B \\).\n\nFirst, we can express \\( D \\) in terms of \\( B \\) using the third piece of information:\n\\[ D = \\frac{1}{2}B \\]\n\nNext, we can express \\( L \\) in terms of \\( B \\) using the second piece of information:\n\\[ L = D + 7 = \\frac{1}{2}B + 7 \\]\n\nNow, we substitute \\( L \\) and \\( D \\) in terms of \\( B \\) into the first equation:\n\\[ \\left(\\frac{1}{2}B + 7\\right) + \\frac{1}{2}B + B = 43 \\]\n\nCombine like terms:\n\\[ \\frac{1}{2}B + \\frac{1}{2}B + B + 7 = 43 \\]\n\\[ B + B + 7 = 43 \\]\n\\[ 2B + 7 = 43 \\]\n\nSubtract 7 from both sides:\n\\[ 2B = 36 \\]\n\nDivide by 2:\n\\[ B = 18 \\]\n\nNow that we know \\( B = 18 \\), we can find \\( D \\) and \\( L \\):\n\\[ D = \\frac{1}{2}B = \\frac{1}{2} \\times 18 = 9 \\]\n\\[ L = D + 7 = 9 + 7 = 16 \\]\n\nSo, Lily found \\( 16 \\) insects.\n\n#### 16", "score": 1.0}, {"id": "gsm8k-349", "gold": "2640", "pred_text": "To determine how much money Madeline spends on her dog per year, we need to calculate the monthly costs for food, treats, and medicine, and then multiply by 12 (the number of months in a year).\n\n1. **Calculate the monthly cost of food:**\n   - Food costs $25 per week.\n   - There are 4 weeks in a month.\n   - Monthly cost of food = $25/week * 4 weeks/month = $100/month.\n\n2. **Treats cost $20 per month.**\n   - Monthly cost of treats = $20/month.\n\n3. **Medicine costs $100 per month.**\n   - Monthly cost of medicine = $100/month.\n\n4. **Calculate the total monthly cost:**\n   - Total monthly cost = Monthly cost of food + Monthly cost of treats + Monthly cost of medicine\n   - Total monthly cost = $100 + $20 + $100 = $220.\n\n5. **Calculate the annual cost:**\n   - There are 12 months in a year.\n   - Annual cost = Total monthly cost * 12 months/year\n   - Annual cost = $220 * 12 = $2640.\n\n#### 2640", "score": 1.0}, {"id": "gsm8k-1303", "gold": "4", "pred_text": "Let's break down the problem step by step.\n\n1. **Calculate the total number of holes dug by the dog during the 14 days of vacation:**\n   - The dog digs 6 holes per day.\n   - Over 14 days, the total number of holes dug is \\(6 \\times 14 = 84\\) holes.\n\n2. **Determine the net change in the number of holes each day after Nate gets home:**\n   - Nate fills in 9 holes a day.\n   - The dog digs 6 holes a day.\n   - The net change in the number of holes each day is \\(9 - 6 = 3\\) holes filled.\n\n3. **Calculate the number of days required to fill in all the holes:**\n   - We need to find out how many days it takes to fill in 84 holes with a net gain of 3 holes per day.\n   - The number of days required is \\(\\frac{84}{3} = 28\\) days.\n\n4. **Convert the number of days into weeks:**\n   - There are 7 days in a week.\n   - The number of weeks required is \\(\\frac{28}{7} = 4\\) weeks.\n\n#### 4", "score": 1.0}, {"id": "gsm8k-544", "gold": "80", "pred_text": "Let's denote the amount of money Brad gets as \\( B \\) dollars. According to the problem, Jeff gets 4 times as much as Brad, so Jeff gets \\( 4B \\) dollars.\n\nThe total amount of money they are dividing is 100 dollars. Therefore, we can set up the following equation to represent the total amount:\n\n\\[ B + 4B = 100 \\]\n\nCombining like terms, we get:\n\n\\[ 5B = 100 \\]\n\nTo find \\( B \\), we divide both sides of the equation by 5:\n\n\\[ B = \\frac{100}{5} = 20 \\]\n\nSo, Brad gets 20 dollars. Since Jeff gets 4 times as much as Brad, we calculate Jeff's share as follows:\n\n\\[ 4B = 4 \\times 20 = 80 \\]\n\nTherefore, Jeff gets 80 dollars.\n\n#### 80", "score": 1.0}, {"id": "gsm8k-956", "gold": "1", "pred_text": "Let's break down the problem step by step.\n\n1. **Total emails sent per day**: Robyn sends 16 emails a day.\n\n2. **Work emails**: Out of these, 7 are work emails.\n\n3. **Remaining emails**: To find the remaining emails, we subtract the work emails from the total emails:\n   \\[\n   16 - 7 = 9\n   \\]\n   So, there are 9 emails that are not work emails.\n\n4. **Emails to family**: Two-thirds of the remaining emails are to family. We calculate this as:\n   \\[\n   \\frac{2}{3} \\times 9 = 6\n   \\]\n   So, 6 emails are sent to family.\n\n5. **Remaining emails after family**: Subtract the emails to family from the remaining emails:\n   \\[\n   9 - 6 = 3\n   \\]\n   So, there are 3 emails left.\n\n6. **Emails to boyfriend**: One-third of the remaining emails are to her boyfriend. We calculate this as:\n   \\[\n   \\frac{1}{3} \\times 3 = 1\n   \\]\n   So, 1 email is sent to her boyfriend.\n\n#### 1", "score": 1.0}, {"id": "gsm8k-992", "gold": "52", "pred_text": "To determine the total number of checks Buford writes per year, we need to break down the frequency of each type of check and then sum them up.\n\n1. **Electric bill checks:**\n   - Buford writes a check for the electric bill once per month.\n   - There are 12 months in a year.\n   - Therefore, the number of electric bill checks per year is \\(12\\).\n\n2. **Gas bill checks:**\n   - Buford writes a check for the gas bill once per month.\n   - There are 12 months in a year.\n   - Therefore, the number of gas bill checks per year is \\(12\\).\n\n3. **Church checks:**\n   - Buford writes a check to the church twice per month.\n   - There are 12 months in a year.\n   - Therefore, the number of church checks per year is \\(2 \\times 12 = 24\\).\n\n4. **Pest and lawn service checks:**\n   - Buford writes a check to the pest and lawn service quarterly.\n   - There are 4 quarters in a year.\n   - Therefore, the number of pest and lawn service checks per year is \\(4\\).\n\nNow, we sum up all the checks:\n- Electric bill checks: \\(12\\)\n- Gas bill checks: \\(12\\)\n- Church checks: \\(24\\)\n- Pest and lawn service checks: \\(4\\)\n\nTotal number of checks per year:\n\\[ 12 + 12 + 24 + 4 = 52 \\]\n\n#### 52", "score": 1.0}, {"id": "gsm8k-1251", "gold": "30", "pred_text": "Let's break down the time it takes John to solve each side of the Rubik's cube step by step.\n\n1. **First side:**\n   - Time taken: 5 minutes\n\n2. **Second side:**\n   - Time taken: Twice the time of the first side\n   - Calculation: \\(2 \\times 5 = 10\\) minutes\n\n3. **Third side:**\n   - Time taken: Twice the time of the first side\n   - Calculation: \\(2 \\times 5 = 10\\) minutes\n\n4. **Fourth side:**\n   - Time taken: Half the time of the first side\n   - Calculation: \\(\\frac{5}{2} = 2.5\\) minutes\n\n5. **Fifth side:**\n   - Time taken: Half the time of the first side\n   - Calculation: \\(\\frac{5}{2} = 2.5\\) minutes\n\n6. **Sixth side:**\n   - Time taken: Half the time of the first side\n   - Calculation: \\(\\frac{5}{2} = 2.5\\) minutes\n\nNow, let's sum up the time taken for all six sides:\n\n\\[\n5 + 10 + 10 + 2.5 + 2.5 + 2.5\n\\]\n\nFirst, add the times for the first three sides:\n\n\\[\n5 + 10 + 10 = 25 \\text{ minutes}\n\\]\n\nNext, add the times for the last three sides:\n\n\\[\n2.5 + 2.5 + 2.5 = 7.5 \\text{ minutes}\n\\]\n\nFinally, add these two results together:\n\n\\[\n25 + 7.5 = 32.5 \\text{ minutes}\n\\]\n\n#### 32.5", "score": 0.0}, {"id": "gsm8k-1083", "gold": "2", "pred_text": "To determine how much money Jenny saved by buying bananas in bunches instead of individually, we need to follow these steps:\n\n1. **Calculate the total number of bananas Jenny bought:**\n   - Jenny buys 10 bunches.\n   - Each bunch contains an average of 4 bananas.\n   - Total number of bananas = \\(10 \\text{ bunches} \\times 4 \\text{ bananas per bunch} = 40 \\text{ bananas}\\).\n\n2. **Calculate the cost if Jenny bought the bananas individually:**\n   - Each banana costs $0.80.\n   - Total cost for 40 bananas = \\(40 \\text{ bananas} \\times 0.80 \\text{ dollars per banana} = 32 \\text{ dollars}\\).\n\n3. **Calculate the cost if Jenny bought the bananas in bunches:**\n   - Each bunch costs $3.00.\n   - Total cost for 10 bunches = \\(10 \\text{ bunches} \\times 3.00 \\text{ dollars per bunch} = 30 \\text{ dollars}\\).\n\n4. **Calculate the savings:**\n   - Savings = Cost of buying bananas individually - Cost of buying bananas in bunches\n   - Savings = \\(32 \\text{ dollars} - 30 \\text{ dollars} = 2 \\text{ dollars}\\).\n\n#### 2", "score": 1.0}, {"id": "gsm8k-156", "gold": "1400", "pred_text": "To determine how many bananas the zookeeper needs to order for 2 months, we need to calculate the total banana consumption for each type of ape and then sum these amounts for the 2-month period.\n\n1. **Calculate the monthly banana consumption for each type of ape:**\n   - Monkeys: 200 bananas per month\n   - Gorillas: 400 bananas per month\n   - Baboons: 100 bananas per month\n\n2. **Calculate the total monthly banana consumption for all apes:**\n   - Total bananas per month = Monkeys + Gorillas + Baboons\n   - Total bananas per month = 200 + 400 + 100 = 700 bananas\n\n3. **Calculate the total banana consumption for 2 months:**\n   - Total bananas for 2 months = Total bananas per month × 2\n   - Total bananas for 2 months = 700 × 2 = 1400 bananas\n\n#### 1400", "score": 1.0}, {"id": "gsm8k-803", "gold": "9", "pred_text": "Let's break down the problem step by step to find out how many hours Kris still needs to play to earn the achievement.\n\n1. **Calculate the total hours played in the first 2 weeks:**\n   - Kris plays for half an hour every day.\n   - There are 14 days in 2 weeks.\n   - Total hours played in 2 weeks = \\( \\frac{1}{2} \\) hour/day * 14 days = 7 hours.\n\n2. **Calculate the total hours played in the next week:**\n   - Kris plays for 2 hours every day.\n   - There are 7 days in a week.\n   - Total hours played in 1 week = 2 hours/day * 7 days = 14 hours.\n\n3. **Calculate the total hours played so far:**\n   - Total hours played = hours played in 2 weeks + hours played in 1 week = 7 hours + 14 hours = 21 hours.\n\n4. **Determine how many more hours are needed to reach 30 hours:**\n   - Total hours needed for the achievement = 30 hours.\n   - Hours already played = 21 hours.\n   - Hours still needed = 30 hours - 21 hours = 9 hours.\n\n#### 9", "score": 1.0}, {"id": "gsm8k-1021", "gold": "36", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the number of easy, average, and difficult questions:**\n   - Total number of questions = 60\n   - 40% of the questions are easy: \\( 0.40 \\times 60 = 24 \\) easy questions\n   - The rest are equally divided between average and difficult questions: \\( 60 - 24 = 36 \\) questions\n   - Therefore, the number of average questions = \\( \\frac{36}{2} = 18 \\)\n   - The number of difficult questions = \\( \\frac{36}{2} = 18 \\)\n\n2. **Calculate the number of questions Aries is sure to get correct:**\n   - Aries is sure to get 75% of the easy questions correct: \\( 0.75 \\times 24 = 18 \\) easy questions\n   - Aries is sure to get half of the average questions correct: \\( \\frac{18}{2} = 9 \\) average questions\n   - Aries is sure to get half of the difficult questions correct: \\( \\frac{18}{2} = 9 \\) difficult questions\n\n3. **Sum up the total number of questions Aries is sure to get correct:**\n   - Total correct answers = 18 (easy) + 9 (average) + 9 (difficult) = 36\n\n#### 36", "score": 1.0}, {"id": "gsm8k-1310", "gold": "64", "pred_text": "Let's break down the problem step by step.\n\n1. **Determine the distance Aaron ran:**\n   - Vanessa ran 4 miles.\n   - Vanessa ran twice as far as Aaron.\n   - Therefore, Aaron ran \\( \\frac{4}{2} = 2 \\) miles.\n\n2. **Determine Aaron's running speed:**\n   - Aaron completed his 2 miles in 16 minutes.\n   - Aaron's speed is \\( \\frac{2 \\text{ miles}}{16 \\text{ minutes}} = \\frac{1 \\text{ mile}}{8 \\text{ minutes}} \\).\n\n3. **Determine Vanessa's running speed:**\n   - Aaron runs each mile twice as fast as Vanessa.\n   - Therefore, Vanessa's speed is \\( 2 \\times 8 \\text{ minutes per mile} = 16 \\text{ minutes per mile} \\).\n\n4. **Calculate the time Vanessa took to run 4 miles:**\n   - Since Vanessa's speed is 16 minutes per mile, for 4 miles, the time taken is \\( 4 \\times 16 \\text{ minutes} = 64 \\text{ minutes} \\).\n\n#### 64", "score": 1.0}, {"id": "gsm8k-741", "gold": "28", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Number of Birds**: Jeremy initially saw 12 birds in the backyard.\n\n2. **Birds Scared Away**: Jeremy threw a stone, scaring away \\( \\frac{1}{3} \\) of the 12 birds.\n   - To find out how many birds were scared away, we calculate \\( \\frac{1}{3} \\times 12 = 4 \\) birds.\n\n3. **Remaining Birds After Scaring**: After scaring away 4 birds, the number of birds left in the backyard is:\n   - \\( 12 - 4 = 8 \\) birds.\n\n4. **Birds Joining Later**: A few minutes later, 20 more birds joined the remaining birds.\n   - The total number of birds now in the backyard is:\n   - \\( 8 + 20 = 28 \\) birds.\n\n#### 28", "score": 1.0}, {"id": "gsm8k-497", "gold": "112", "pred_text": "To determine how much money Paul spent on driving his car over the 14 days, we need to break down the costs for both the morning and afternoon rides and then sum them up.\n\n1. **Calculate the cost for morning rides:**\n   - Paul drives in the morning each day.\n   - Each morning ride costs $6.\n   - He drives 14 mornings in total (14 days).\n\n   \\[\n   \\text{Total cost for morning rides} = 14 \\text{ days} \\times 6 \\text{ dollars/day} = 84 \\text{ dollars}\n   \\]\n\n2. **Calculate the cost for afternoon rides:**\n   - Paul drives in the afternoon each day.\n   - Each afternoon ride costs $2.\n   - He drives 14 afternoons in total (14 days).\n\n   \\[\n   \\text{Total cost for afternoon rides} = 14 \\text{ days} \\times 2 \\text{ dollars/day} = 28 \\text{ dollars}\n   \\]\n\n3. **Calculate the total cost:**\n   - Add the total cost for morning rides and the total cost for afternoon rides.\n\n   \\[\n   \\text{Total cost} = 84 \\text{ dollars} + 28 \\text{ dollars} = 112 \\text{ dollars}\n   \\]\n\n#### 112", "score": 1.0}, {"id": "gsm8k-1249", "gold": "56", "pred_text": "Let's break down the problem step by step to find out how many candles and flashlights Brianna's family is using.\n\n1. **Flashlights:**\n   - There are 4 people in the family, and each person has a flashlight.\n   - Additionally, there are 2 flashlights for each of the 8 rooms.\n   - Therefore, the total number of flashlights is:\n     \\[\n     4 \\text{ (personal flashlights)} + 2 \\times 8 \\text{ (flashlights for rooms)} = 4 + 16 = 20\n     \\]\n\n2. **Candles:**\n   - There are 8 rooms in total.\n   - Half of the rooms have 4 small candles each, and the other half have 5 medium candles each.\n   - Half of 8 rooms is 4 rooms.\n   - Therefore, the number of small candles is:\n     \\[\n     4 \\text{ rooms} \\times 4 \\text{ small candles per room} = 16 \\text{ small candles}\n     \\]\n   - The number of medium candles is:\n     \\[\n     4 \\text{ rooms} \\times 5 \\text{ medium candles per room} = 20 \\text{ medium candles}\n     \\]\n   - The total number of candles is:\n     \\[\n     16 \\text{ small candles} + 20 \\text{ medium candles} = 36 \\text{ candles}\n     \\]\n\n3. **Total items used:**\n   - The total number of flashlights and candles combined is:\n     \\[\n     20 \\text{ flashlights} + 36 \\text{ candles} = 56 \\text{ items}\n     \\]\n\n#### 56", "score": 1.0}, {"id": "gsm8k-141", "gold": "400", "pred_text": "Let's define the variables for the number of each type of bee:\n- Let \\( Q \\) be the number of queen bees.\n- Let \\( B \\) be the number of baby bees.\n- Let \\( W \\) be the number of worker bees.\n\nAccording to the problem, we have the following relationships:\n1. There are twice as many baby bees as queens: \\( B = 2Q \\).\n2. There are twice as many worker bees as baby bees: \\( W = 2B \\).\n3. The total number of bees is 700: \\( Q + B + W = 700 \\).\n\nFirst, we substitute \\( B \\) and \\( W \\) in terms of \\( Q \\) into the total number of bees equation:\n\\[ Q + 2Q + 2(2Q) = 700 \\]\n\nSimplify the equation:\n\\[ Q + 2Q + 4Q = 700 \\]\n\\[ 7Q = 700 \\]\n\nSolve for \\( Q \\):\n\\[ Q = \\frac{700}{7} \\]\n\\[ Q = 100 \\]\n\nNow, we can find \\( B \\) and \\( W \\):\n\\[ B = 2Q = 2 \\times 100 = 200 \\]\n\\[ W = 2B = 2 \\times 200 = 400 \\]\n\nSo, the number of worker bees is \\( 400 \\).\n\n#### 400", "score": 1.0}, {"id": "gsm8k-345", "gold": "310", "pred_text": "To calculate the total number of legs the restaurant's tables have, we can break down the problem into smaller steps:\n\n1. **Calculate the number of legs from the 4-legged tables:**\n   - There are 40 tables with 4 legs each.\n   - The total number of legs from these tables is \\(40 \\times 4 = 160\\).\n\n2. **Calculate the number of legs from the 3-legged tables:**\n   - There are 50 tables with 3 legs each.\n   - The total number of legs from these tables is \\(50 \\times 3 = 150\\).\n\n3. **Add the legs from both types of tables to get the total number of legs:**\n   - The total number of legs is \\(160 + 150 = 310\\).\n\n#### 310", "score": 1.0}, {"id": "gsm8k-265", "gold": "9500", "pred_text": "Let's break down the problem step by step:\n\n1. **Selling Price of the Property**: The property is priced at $350,000.\n\n2. **Brokerage Fee**: The brokerage fee is 5% of the selling price.\n   \\[\n   \\text{Brokerage Fee} = 0.05 \\times 350,000 = 17,500\n   \\]\n\n3. **Transfer Fee**: The transfer fee is 12% of the selling price.\n   \\[\n   \\text{Transfer Fee} = 0.12 \\times 350,000 = 42,000\n   \\]\n\n4. **Total Additional Costs**: The total additional costs (brokerage fee + transfer fee) are:\n   \\[\n   \\text{Total Additional Costs} = 17,500 + 42,000 = 59,500\n   \\]\n\n5. **Total Price of the House**: The total price of the house, including the additional costs, is:\n   \\[\n   \\text{Total Price} = 350,000 + 59,500 = 409,500\n   \\]\n\n6. **Comparison with Budget**: Mrs. Cruz's budget is $400,000. The difference between the total price and her budget is:\n   \\[\n   \\text{Difference} = 409,500 - 400,000 = 9,500\n   \\]\n\n#### 9,500", "score": 1.0}, {"id": "gsm8k-1301", "gold": "23", "pred_text": "Let's break down the problem step by step to find out how many cookies Randy has now.\n\n1. **Initial Count of Cookies:**\n   - Oatmeal cookies: 9\n   - Chocolate chip cookies: 4\n   - Sugar cookies: 5\n\n2. **Cookies Eaten for an Early Day Snack:**\n   - Randy ate 1 oatmeal cookie, 1 chocolate chip cookie, and 1 sugar cookie.\n   - Remaining cookies:\n     - Oatmeal: 9 - 1 = 8\n     - Chocolate chip: 4 - 1 = 3\n     - Sugar: 5 - 1 = 4\n\n3. **Cookies Eaten for Lunch:**\n   - Randy ate 2 oatmeal cookies.\n   - Remaining cookies:\n     - Oatmeal: 8 - 2 = 6\n     - Chocolate chip: 3 (unchanged)\n     - Sugar: 4 (unchanged)\n\n4. **Cookies Given to Friends:**\n   - Randy gave 2 sugar cookies to his friends.\n   - Remaining cookies:\n     - Oatmeal: 6 (unchanged)\n     - Chocolate chip: 3 (unchanged)\n     - Sugar: 4 - 2 = 2\n\n5. **Cookies Baked for Dinner:**\n   - Randy baked 4 of each flavor.\n   - Remaining cookies:\n     - Oatmeal: 6 + 4 = 10\n     - Chocolate chip: 3 + 4 = 7\n     - Sugar: 2 + 4 = 6\n\n6. **Total Number of Cookies Now:**\n   - Oatmeal: 10\n   - Chocolate chip: 7\n   - Sugar: 6\n   - Total: 10 + 7 + 6 = 23\n\n#### 23", "score": 1.0}, {"id": "gsm8k-220", "gold": "70", "pred_text": "To determine how much time Carmen spent solving puzzles over the weekend, we need to calculate the time spent on crossword puzzles and the time spent on Sudoku puzzles separately, and then sum these times.\n\n1. **Time spent on crossword puzzles:**\n   - Carmen takes 10 minutes to finish one crossword puzzle.\n   - She solved 3 crossword puzzles.\n   - Therefore, the total time spent on crossword puzzles is \\(10 \\text{ minutes/puzzle} \\times 3 \\text{ puzzles} = 30 \\text{ minutes}\\).\n\n2. **Time spent on Sudoku puzzles:**\n   - Carmen takes 5 minutes to finish one Sudoku puzzle.\n   - She solved 8 Sudoku puzzles.\n   - Therefore, the total time spent on Sudoku puzzles is \\(5 \\text{ minutes/puzzle} \\times 8 \\text{ puzzles} = 40 \\text{ minutes}\\).\n\n3. **Total time spent on puzzles:**\n   - The total time spent is the sum of the time spent on crossword puzzles and Sudoku puzzles.\n   - Therefore, the total time is \\(30 \\text{ minutes} + 40 \\text{ minutes} = 70 \\text{ minutes}\\).\n\n#### 70", "score": 1.0}, {"id": "gsm8k-576", "gold": "11232", "pred_text": "To determine the total cost for Michael to replace the carpet in his bedroom, we need to consider the costs for the carpet itself, the padding, the removal of the old carpet, and the installation of the new carpet. Let's break it down step by step.\n\n1. **Calculate the area of the bedroom:**\n   \\[\n   \\text{Area} = 18 \\text{ feet} \\times 12 \\text{ feet} = 216 \\text{ square feet}\n   \\]\n\n2. **Calculate the cost of the carpet:**\n   \\[\n   \\text{Cost of carpet} = 216 \\text{ square feet} \\times \\$12/\\text{square foot} = \\$2592\n   \\]\n\n3. **Calculate the cost of the padding:**\n   \\[\n   \\text{Cost of padding} = 216 \\text{ square feet} \\times \\$2/\\text{square foot} = \\$432\n   \\]\n\n4. **Calculate the cost of removing the old carpet:**\n   \\[\n   \\text{Cost of removal} = 216 \\text{ square feet} \\times \\$4/\\text{square foot} = \\$864\n   \\]\n\n5. **Calculate the cost of installing the new carpet:**\n   \\[\n   \\text{Cost of installation} = 216 \\text{ square feet} \\times \\$34/\\text{square foot} = \\$7344\n   \\]\n\n6. **Calculate the total cost:**\n   \\[\n   \\text{Total cost} = \\text{Cost of carpet} + \\text{Cost of padding} + \\text{Cost of removal} + \\text{Cost of installation}\n   \\]\n   \\[\n   \\text{Total cost} = \\$2592 + \\$432 + \\$864 + \\$7344 = \\$11232\n   \\]\n\n#### 11232", "score": 1.0}, {"id": "gsm8k-1108", "gold": "38", "pred_text": "Let's break down the problem step by step:\n\n1. First, we need to find the total cost of the items before applying the coupon. My mom bought a set of pots for $19 and a sack of garden soil for $26. So, we add these two amounts together:\n   \\[\n   19 + 26 = 45\n   \\]\n   Therefore, the total cost before the coupon is $45.\n\n2. Next, we apply the coupon. The coupon provides a $7 discount. So, we subtract $7 from the total cost:\n   \\[\n   45 - 7 = 38\n   \\]\n\n3. Therefore, the final amount my mom spent at the gardening shop is $38.\n\n#### 38", "score": 1.0}, {"id": "gsm8k-1148", "gold": "9", "pred_text": "To determine how many eggs each child receives, we can follow these steps:\n\n1. **Calculate the total number of eggs**: Chatty prepared three dozen eggs. Since one dozen equals 12 eggs, three dozen eggs equal \\(3 \\times 12 = 36\\) eggs.\n\n2. **Divide the total number of eggs by the number of children**: Chatty has four children. To find out how many eggs each child gets, we divide the total number of eggs by the number of children. So, \\(36 \\div 4 = 9\\).\n\nTherefore, each child receives 9 eggs. \n\n#### 9", "score": 1.0}, {"id": "gsm8k-794", "gold": "32", "pred_text": "To determine the total number of lions in the enclosure, we need to follow these steps:\n\n1. **Count the female lions**: The problem states there are 12 female lions.\n2. **Count the male lions**: The problem states there are half as many male lions as female lions. Therefore, the number of male lions is:\n   \\[\n   \\frac{12}{2} = 6\n   \\]\n3. **Count the lion cubs**: The problem states there are 14 lion cubs.\n4. **Calculate the total number of lions**: To find the total number of lions, we add the number of female lions, male lions, and lion cubs together:\n   \\[\n   12 + 6 + 14 = 32\n   \\]\n\n#### 32", "score": 1.0}, {"id": "gsm8k-208", "gold": "76", "pred_text": "Let's break down the problem step by step:\n\n1. **Monday:**\n   - Rose bought 4 cakes.\n\n2. **Tuesday:**\n   - She bought three times the number of cakes she bought on Monday.\n   - Number of cakes bought on Tuesday = 3 × 4 = 12 cakes.\n\n3. **Wednesday:**\n   - She bought 5 times the number of cakes she bought on Tuesday.\n   - Number of cakes bought on Wednesday = 5 × 12 = 60 cakes.\n\n4. **Total number of cakes bought over the three days:**\n   - Monday: 4 cakes\n   - Tuesday: 12 cakes\n   - Wednesday: 60 cakes\n   - Total = 4 + 12 + 60 = 76 cakes\n\n#### 76", "score": 1.0}, {"id": "gsm8k-1188", "gold": "24", "pred_text": "To solve this problem, let's break it down step by step.\n\n1. **Determine the time span since Digimon's 20th anniversary:**\n   - Since Digimon is celebrating its 20th anniversary, we need to know how many years have passed since its debut. However, the exact year of Digimon's debut is not provided in the problem. We only know the current age of John and the relationship between John and Jim's ages at the time of Digimon's debut.\n\n2. **Establish the relationship between John and Jim's ages at the time of Digimon's debut:**\n   - We know that when Digimon came out, John was twice as old as Jim. Let's denote Jim's age at that time as \\( J \\). Therefore, John's age at that time would be \\( 2J \\).\n\n3. **Determine the current ages:**\n   - John is currently 28 years old. Since 20 years have passed since Digimon's debut, we can calculate John's age at the time of Digimon's debut by subtracting 20 years from his current age:\n     \\[\n     28 - 20 = 8\n     \\]\n   - So, John was 8 years old when Digimon came out.\n\n4. **Find Jim's age at the time of Digimon's debut:**\n   - Since John was twice as old as Jim at the time of Digimon's debut, and John was 8 years old, we can set up the equation:\n     \\[\n     2J = 8\n     \\]\n   - Solving for \\( J \\):\n     \\[\n     J = \\frac{8}{2} = 4\n     \\]\n   - Therefore, Jim was 4 years old when Digimon came out.\n\n5. **Calculate Jim's current age:**\n   - Since 20 years have passed since Digimon's debut, we add 20 years to Jim's age at the time of Digimon's debut:\n     \\[\n     4 + 20 = 24\n     \\]\n\n#### 24", "score": 1.0}, {"id": "gsm8k-1133", "gold": "50", "pred_text": "To solve this problem, let's break it down step by step.\n\n1. **Determine the time spent on the beach:**\n   - We know that 40 minutes of her walk is spent on the beach.\n   - The distance on the beach is 2 miles.\n\n2. **Calculate the speed on the beach:**\n   - Speed is calculated as distance divided by time.\n   - Let \\( t \\) be the time in minutes spent on the beach.\n   - Given \\( t = 40 \\) minutes and the distance is 2 miles, we need to convert the time into hours to match the units for speed (miles per hour).\n   - \\( 40 \\) minutes is \\( \\frac{40}{60} = \\frac{2}{3} \\) hours.\n   - Speed on the beach \\( = \\frac{2 \\text{ miles}}{\\frac{2}{3} \\text{ hours}} = 3 \\text{ miles per hour} \\).\n\n3. **Determine the speed on the sidewalk:**\n   - The speed on the sidewalk is twice the speed on the beach.\n   - Speed on the sidewalk \\( = 2 \\times 3 \\text{ miles per hour} = 6 \\text{ miles per hour} \\).\n\n4. **Calculate the time spent on the sidewalk:**\n   - The distance on the sidewalk is 1 mile.\n   - Using the speed on the sidewalk, the time spent on the sidewalk \\( = \\frac{1 \\text{ mile}}{6 \\text{ miles per hour}} \\).\n   - Convert the speed to minutes per mile: \\( \\frac{1 \\text{ mile}}{6 \\text{ miles per hour}} \\times 60 \\text{ minutes per hour} = 10 \\text{ minutes} \\).\n\n5. **Calculate the total time for the entire walk:**\n   - Time on the beach: 40 minutes.\n   - Time on the sidewalk: 10 minutes.\n   - Total time \\( = 40 \\text{ minutes} + 10 \\text{ minutes} = 50 \\text{ minutes} \\).\n\n#### 50", "score": 1.0}], "mean_score": 0.895}, "squad": {"wall_s": 3.0376686800000243, "gen_tokens": 2538, "tok_per_s": 835.5091576346567, "items": [{"id": "squad-4293", "gold": ["2006", "2006", "2006"], "pred_text": "2006", "score": 1.0}, {"id": "squad-5245", "gold": ["stream", "stream", "stream"], "pred_text": "\"burn\" (\"stream\")", "score": 0.6666666666666666}, {"id": "squad-3717", "gold": ["1979", "1979", "1979", "1979", "1979"], "pred_text": "termed the \"second oil shock.\"", "score": 0.0}, {"id": "squad-5026", "gold": ["seafloor spreading", "seafloor spreading", "seafloor spreading", "seafloor spreading"], "pred_text": "seafloor spreading", "score": 1.0}, {"id": "squad-10212", "gold": ["Indians fought on both sides of the conflict, and that this was part of the Seven Years' War", "Indians fought on both sides of the conflict", "obscures the fact that Indians fought on both sides of the conflict, and that this was part of the Seven Years' War", "Seven Years' War", "it obscures the fact that Indians fought on both sides of the conflict"], "pred_text": "This traditional name continues as the standard in the United States, but it obscures the fact that Indians fought on both sides of the conflict, and that this was part of the Seven Years' War, a much larger conflict between France and Great", "score": 0.6785714285714285}, {"id": "squad-9930", "gold": ["civilize the inferior", "civilize the inferior", "civilize the inferior", "to civilize the inferior", "civilize"], "pred_text": "to civilize the inferior", "score": 1.0}, {"id": "squad-808", "gold": ["Chicago Bears", "the Chicago Bears", "Bears"], "pred_text": "The Broncos' seven sacks tied a Super Bowl record set by the Chicago Bears in Super Bowl XX.", "score": 0.23529411764705882}, {"id": "squad-4679", "gold": ["47 streetcars", "47", "47"], "pred_text": "47", "score": 1.0}, {"id": "squad-7585", "gold": ["existing level of inequality", "existing level of inequality", "existing level of inequality"], "pred_text": "the existing level of inequality.", "score": 1.0}, {"id": "squad-1393", "gold": ["1893", "In 1893", "1893"], "pred_text": "In 1893 Richard Dean Adams, who headed up the Niagara Falls Cataract Construction Company sought Tesla's opinion on what system would be best to transmit power generated at the falls.", "score": 0.13333333333333333}, {"id": "squad-962", "gold": ["452.8 ft", "115.7 metres", "115.7 metres"], "pred_text": "122.1 metres (400.6 ft) (\"Groszówka\" estate, district of Wesoła, by the eastern border)", "score": 0.14285714285714285}, {"id": "squad-6606", "gold": ["Breast milk or colostrum", "Breast milk", "Breast milk or colostrum"], "pred_text": "Breast milk or colostrum also contains antibodies that are transferred to the gut of the infant and protect against bacterial infections until the newborn can synthesize its own antibodies.", "score": 0.2666666666666667}, {"id": "squad-2893", "gold": ["Virgin Media", "Virgin Media", "Virgin Media"], "pred_text": "Virgin Media", "score": 1.0}, {"id": "squad-7723", "gold": ["the BBC", "BBC", "BBC"], "pred_text": "the BBC, in conjunction with animation studio Cosgrove Hall, animation company Theta-Sigma, and Big Finish", "score": 0.13333333333333333}, {"id": "squad-36", "gold": ["New England Patriots", "the New England Patriots", "New England Patriots"], "pred_text": "New England Patriots", "score": 1.0}, {"id": "squad-4860", "gold": ["automatically assigned addresses, updated the distributed namespace, and configured any required inter-network routing", "addresses", "addresses"], "pred_text": "The AppleTalk system automatically assigned addresses, updated the distributed namespace, and configured any required inter-network routing.", "score": 0.923076923076923}, {"id": "squad-6077", "gold": ["westerns and detective series", "westerns and detective series", "westerns and detective series"], "pred_text": "westerns and detective series", "score": 1.0}, {"id": "squad-2499", "gold": ["Jesus Christ was born a Jew", "that Jesus Christ was born a Jew", "conversion"], "pred_text": "Luther wrote that Jesus Christ was born a Jew which discouraged mistreatment of the Jews and advocated their conversion by proving that the Old Testament could be shown to speak of Jesus Christ.", "score": 0.33333333333333337}, {"id": "squad-10021", "gold": ["Lovely Lane Methodist Church", "Lovely Lane Methodist Church,", "Lovely Lane Methodist Church"], "pred_text": "Lovely Lane Methodist Church", "score": 1.0}, {"id": "squad-2785", "gold": ["12", "12", "12"], "pred_text": "12", "score": 1.0}, {"id": "squad-7467", "gold": ["Gender", "ranges from 53% in Botswana to -40% in Bahrain", "Gender"], "pred_text": "In many countries, there is a Gender pay gap in favor of males in the labor market.", "score": 0.16666666666666669}, {"id": "squad-9834", "gold": ["ideological", "ideological", "ideological", "commercial"], "pred_text": "ideological as well as financial reasons", "score": 0.2857142857142857}, {"id": "squad-8001", "gold": ["2003", "2003"], "pred_text": "2003", "score": 1.0}, {"id": "squad-7109", "gold": ["African-American", "African-American", "African-American"], "pred_text": "African-American students", "score": 0.6666666666666666}, {"id": "squad-433", "gold": ["Super Bowl V", "Super Bowl V", "V"], "pred_text": "Super Bowl V", "score": 1.0}, {"id": "squad-2656", "gold": ["music", "major record companies"], "pred_text": "The music industry.", "score": 0.6666666666666666}, {"id": "squad-3208", "gold": ["Jacques Lefevre", "Jacques Lefevre", "Jacques Lefevre"], "pred_text": "Jacques Lefevre (c. 1455–1536).", "score": 0.6666666666666666}, {"id": "squad-9221", "gold": ["Basel", "Basel", "Basel,"], "pred_text": "In the centre of Basel, the first major city in the course of the stream, is located the \"Rhine knee\";", "score": 0.125}, {"id": "squad-4986", "gold": ["of marginal significance", "marginal", "marginal"], "pred_text": "transference via fleas in goods was likely to be of marginal significance;", "score": 0.4}, {"id": "squad-1031", "gold": ["Centrum", "Centrum", "Centrum"], "pred_text": "the district Centrum", "score": 0.6666666666666666}, {"id": "squad-7851", "gold": ["weekly screenings of all available classic episodes", "screenings of all available classic episodes", "repeated episodes"], "pred_text": "the weekly screenings of all available classic episodes starting in 2003, for the show's 40th anniversary", "score": 0.6666666666666666}, {"id": "squad-6802", "gold": ["non-violence", "non-violent", "non-violent", "non-violent", "non-violent"], "pred_text": "carefully chosen and legitimate means", "score": 0.0}, {"id": "squad-9108", "gold": ["irreducible elements", "irreducible elements", "irreducible elements", "irreducible elements"], "pred_text": "irreducible elements", "score": 1.0}, {"id": "squad-7472", "gold": ["social welfare", "social welfare", "social welfare"], "pred_text": "such as social welfare programs", "score": 0.5714285714285715}, {"id": "squad-5623", "gold": ["gilt copper", "gilt copper", "gilt copper"], "pred_text": "gilt copper", "score": 1.0}, {"id": "squad-1412", "gold": ["American Institute of Electrical Engineers", "the American Institute of Electrical Engineers", "American Institute of Electrical Engineers"], "pred_text": "the American Institute of Electrical Engineers", "score": 1.0}, {"id": "squad-1180", "gold": ["War of Currents", "War of Currents", "War of Currents"], "pred_text": "alternating current/direct current \"War of Currents\"", "score": 0.6666666666666666}, {"id": "squad-4277", "gold": ["Steymann v Staatssecretaris van Justitie", "Steymann v Staatssecretaris van Justitie", "Steymann v Staatssecretaris van Justitie"], "pred_text": "Steymann v Staatssecretaris van Justitie", "score": 1.0}, {"id": "squad-4464", "gold": ["indigenous territories", "indigenous", "indigenous"], "pred_text": "indigenous territories", "score": 1.0}, {"id": "squad-625", "gold": ["Kevin Harlan", "Kevin Harlan", "Kevin Harlan"], "pred_text": "Kevin Harlan", "score": 1.0}, {"id": "squad-4476", "gold": ["Tatiana Kuplich", "Tatiana Kuplich", "Tatiana Kuplich"], "pred_text": "Tatiana Kuplich", "score": 1.0}, {"id": "squad-5010", "gold": ["The last plague outbreak ravaged Oslo in 1654.", "1654", "1654"], "pred_text": "1654", "score": 1.0}, {"id": "squad-2469", "gold": ["Smalcald Articles", "in their graves and in heaven", "Smalcald Articles"], "pred_text": "in their graves and in heaven.", "score": 1.0}, {"id": "squad-10420", "gold": ["magnitude and direction", "magnitude and direction", "magnitude and direction", "magnitude and direction", "magnitude and direction"], "pred_text": "forces are additive vector quantities: they have magnitude and direction.", "score": 0.4615384615384615}, {"id": "squad-4730", "gold": ["early twentieth century homes", "early twentieth century homes", "early twentieth century"], "pred_text": "The area is also known for its early twentieth century homes, many of which have been restored in recent decades.", "score": 0.34782608695652173}, {"id": "squad-7038", "gold": ["Sonderungsverbot", "Sonderungsverbot", "Sonderungsverbot"], "pred_text": "Sonderungsverbot", "score": 1.0}, {"id": "squad-4050", "gold": ["Book of Genesis", "Genesis", "Genesis", "Book of Genesis", "Genesis"], "pred_text": "the Book of Genesis", "score": 1.0}, {"id": "squad-1257", "gold": ["Tesla would be killed through overwork", "killed through overwork", "would be killed through overwork"], "pred_text": "Tesla would be killed through overwork.", "score": 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tape recordings of the show", "home viewers who made tape recordings"], "pred_text": "Audio versions of all of the lost episodes exist from home viewers who made tape recordings of the show.", "score": 0.6399999999999999}, {"id": "squad-9691", "gold": ["Egypt's premier Mahmud Fami Naqrashi", "Mahmud Fami Naqrashi", "Mahmud Fami Naqrashi"], "pred_text": "Egypt's premier Mahmud Fami Naqrashi", "score": 1.0}, {"id": "squad-6827", "gold": ["prevent the installation of pagan images", "prevent the installation of pagan images in the Temple in Jerusalem", "prevent the installation of pagan images in the Temple in Jerusalem", "to prevent the installation of pagan images in the Temple in Jerusalem", "prevent the installation of pagan images"], "pred_text": "to prevent the installation of pagan images in the Temple in Jerusalem.", "score": 1.0}, {"id": "squad-830", "gold": ["Warsaw University of Technology", "Warsaw University of Technology", "Warsaw University of Technology"], "pred_text": "Warsaw University of Technology", "score": 1.0}, {"id": "squad-6384", "gold": ["within the dispensary compounding/dispensing medications", "communicating with patients", "compounding/dispensing medications"], "pred_text": "pharmacists stayed within the dispensary compounding/dispensing medications", "score": 0.8}, {"id": "squad-3774", "gold": ["last week of February 1974,", "20%", "20", "20%", "20%"], "pred_text": "20%", "score": 1.0}, {"id": "squad-4322", "gold": ["Climate fluctuations during the last 34 million years have allowed savanna regions to expand into the tropics.", "Climate fluctuations during the last 34 million years", "Climate fluctuations"], "pred_text": "Climate fluctuations during the last 34 million years have allowed savanna regions to expand into the tropics.", "score": 1.0}, {"id": "squad-5307", "gold": ["Get Carter", "Get Carter", "Get Carter"], "pred_text": "Get Carter", "score": 1.0}, {"id": "squad-4179", "gold": ["to \"ensure that in the interpretation and application of the Treaties the law is observed\"", "\"ensure that in the interpretation and application of the Treaties the law is observed\"", "\"ensure that in the interpretation and application of the Treaties the law is observed\"", "\"ensure that in the interpretation and application of the Treaties the law is observed\""], "pred_text": "to \"ensure that in the interpretation and application of the Treaties the law is observed\", although realistically it has the ability to expand and develop the law according to the principles it deems to be appropriate.", "score": 0.5714285714285715}, {"id": "squad-2389", "gold": ["incapable of teaching", "teaching", "teaching"], "pred_text": "teach", "score": 0.0}, {"id": "squad-10471", "gold": ["Isaac Newton", "Isaac Newton", "Isaac Newton", "Isaac Newton"], "pred_text": "Isaac Newton", "score": 1.0}, {"id": "squad-4615", "gold": ["\"zip\" the mouth shut", "streamlines the front of the animal", "tight closure streamlines the front of the animal"], "pred_text": "This tight closure streamlines the front of the animal when it is pursuing prey.", "score": 0.6666666666666666}, {"id": "squad-10291", "gold": ["Approximately 1,000 British soldiers were killed or injured.", "Approximately 1,000", "1,000 British soldiers", "1,000", "1,000 British soldiers"], "pred_text": "Approximately 1,000 British soldiers were killed or injured.", "score": 1.0}, {"id": "squad-5641", "gold": ["Carlo Crivelli's Virgin and Child", "Carlo Crivelli's Virgin and Child)", "Carlo Crivelli's Virgin and Child"], "pred_text": "Carlo Crivelli's Virgin and Child", "score": 1.0}, {"id": "squad-4502", "gold": ["ten times their own weight", "ten times their own weight", "ten times their own weight"], "pred_text": "ten times their own weight in a day.", "score": 0.8333333333333333}, {"id": "squad-2347", "gold": ["15 May 1525", "15 May 1525", "1525"], "pred_text": "15 May 1525", "score": 1.0}, {"id": "squad-8437", "gold": ["the two political parties would share power equally", "two political parties would share power equally", "two political parties would share power equally"], "pred_text": "salvaging a country usually seen as one of the most stable and prosperous in Africa.", "score": 0.0}, {"id": "squad-4331", "gold": ["Cretaceous–Paleogene extinction event", "dinosaurs", "dinosaurs"], "pred_text": "Following the Cretaceous–Paleogene extinction event, the extinction of the dinosaurs and the wetter climate may have allowed the tropical rainforest to spread out across the continent.", "score": 0.2608695652173913}, {"id": "squad-8783", "gold": ["ctDNA, or cpDNA", "ctDNA", "ctDNA, or cpDNA"], "pred_text": "ctDNA, or cpDNA", "score": 1.0}, {"id": "squad-8081", "gold": ["Saul Alinsky", "Saul Alinsky", "Saul Alinsky"], "pred_text": "Saul Alinsky", "score": 1.0}, {"id": "squad-10554", "gold": ["difference in potential energy", "the difference in potential energy", "the difference in potential energy", "the difference in potential energy between two different locations in space"], "pred_text": "the difference in potential energy between two different locations in space", "score": 1.0}, {"id": "squad-211", "gold": ["Ten", "Ten", "Ten"], "pred_text": "Ten players were selected to the Pro Bowl (the most in franchise history)", "score": 0.16666666666666669}, {"id": "squad-8225", "gold": ["Outlaws ravaged the country", "Outlaws", "Outlaws"], "pred_text": "Outlaws ravaged the country without interference from the weakening Yuan armies.", "score": 0.5}, {"id": "squad-7597", "gold": ["residents willing to pay higher market rate for housing", "gentrification of older neighbourhoods", "new residents willing to pay higher market rate"], "pred_text": "gentrification of older neighbourhoods", "score": 1.0}, {"id": "squad-7713", "gold": ["William Hartnell and Patrick Troughton", "William Hartnell and Patrick Troughton", "William Hartnell and Patrick Troughton"], "pred_text": "William Hartnell and Patrick Troughton.", "score": 1.0}, {"id": "squad-2669", "gold": ["ten", "ten", "ten"], "pred_text": "the ten southern-most counties of the state", "score": 0.33333333333333337}, {"id": "squad-9661", "gold": ["the All India Muslim League", "All India Muslim League", "All India Muslim League"], "pred_text": "the London branch of the All India Muslim League.", "score": 0.7272727272727273}, {"id": "squad-5049", "gold": ["xenoliths", "xenoliths", "inclusions", "xenoliths"], "pred_text": "xenoliths", "score": 1.0}, {"id": "squad-6617", "gold": ["hormones", "hormones", "hormones"], "pred_text": "some hormones are regulated by the immune system", "score": 0.25}], "mean_score": 0.7421530237268789}}