{"config": "awq", "model": "Qwen/Qwen2.5-7B-Instruct-AWQ", "n_items": 200, "seed": 20260726, "gsm8k": {"wall_s": 11.224108864999835, "gen_tokens": 56672, "tok_per_s": 5049.131354803626, "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   - The total weight is \\( 1000g + 1600g = 2600g \\).\n\n#### 2600", "score": 1.0}, {"id": "gsm8k-883", "gold": "25", "pred_text": "Let's denote the runtime of Elaina's usual concert as \\( x \\) minutes.\n\nAccording to the problem, the final concert is twice as long as her usual concerts, plus an additional 15-minute encore. Therefore, the runtime of the final concert can be expressed as:\n\\[ 2x + 15 \\]\n\nWe are given that the runtime of the final concert is 65 minutes. So, we can set up the following equation:\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:\n\\[ 2x + 15 - 15 = 65 - 15 \\]\n\\[ 2x = 50 \\]\n\n2. Divide both sides by 2:\n\\[ \\frac{2x}{2} = \\frac{50}{2} \\]\n\\[ x = 25 \\]\n\nSo, the runtime of Elaina's usual concerts is 25 minutes.\n\n#### 25", "score": 1.0}, {"id": "gsm8k-740", "gold": "25", "pred_text": "To determine how many students like to play video games, we need to follow these steps:\n\n1. **Identify the total number of students and the given categories:**\n   - Total students: 50\n   - Students who like to bake: 10\n   - Students who like to play basketball: 5\n   - Students who like to play music: \\(2 \\times 5 = 10\\) (since the number of students who like to play music is twice the number who like to play basketball)\n\n2. **Calculate the number of students who like to play video games:**\n   - First, sum the number of students in the known categories:\n     \\[\n     10 \\text{ (baking)} + 5 \\text{ (basketball)} + 10 \\text{ (music)} = 25\n     \\]\n   - Subtract this sum from the total number of students to find the number of students who like to play video games:\n     \\[\n     50 - 25 = 25\n     \\]\n\nTherefore, the number of students who like to play video games is \\(\\boxed{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 actually 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 actually 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 actually gathered:**\n   - Dr. Grumpus requested 7 beakers.\n   - Let \\( x \\) be the number of beakers Igor lost.\n   - Therefore, Igor actually gathered \\( 7 - x \\) beakers.\n\n4. **Calculate the total number of items Igor placed on the lab bench:**\n   - Total items = Number of test tubes + Number of beakers + Number of Petri dishes\n   - Total items = \\( 8 + (7 - x) + 16 \\)\n   - Simplify the equation: \\( 8 + 7 - x + 16 = 31 - x \\)\n\n5. **Set up the equation based on the total number of items:**\n   - According to the problem, the total number of items on the lab bench is 29.\n   - Therefore, \\( 31 - x = 29 \\)\n\n6. **Solve for \\( x \\):**\n   - \\( 31 - x = 29 \\)\n   - Subtract 29 from both sides: \\( 31 - 29 = x \\)\n   - Therefore, \\( x = 2 \\)\n\nSo, Igor lost 2 beakers.\n\n#### 2", "score": 1.0}, {"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. The volume \\( V \\) of a rectangular prism is given by:\n   \\[\n   V = \\text{width} \\times \\text{length} \\times \\text{height}\n   \\]\n   Substituting the given dimensions:\n   \\[\n   V = 2 \\, \\text{feet} \\times 8 \\, \\text{feet} \\times 2 \\, \\text{feet} = 32 \\, \\text{cubic feet}\n   \\]\n\n2. **Calculate the total volume of all 10 raised beds:**\n   Since there are 10 raised beds, the total volume \\( V_{\\text{total}} \\) is:\n   \\[\n   V_{\\text{total}} = 10 \\times 32 \\, \\text{cubic feet} = 320 \\, \\text{cubic feet}\n   \\]\n\n3. **Determine the number of bags of potting soil needed:**\n   Each bag of potting soil holds 2 cubic feet of soil. Therefore, the number of bags \\( N \\) required is:\n   \\[\n   N = \\frac{320 \\, \\text{cubic feet}}{2 \\, \\text{cubic feet per bag}} = 160 \\, \\text{bags}\n   \\]\n\n4. **Calculate the total cost of the potting soil:**\n   Each bag costs $12. Therefore, the total cost \\( C \\) is:\n   \\[\n   C = 160 \\, \\text{bags} \\times 12 \\, \\text{dollars per bag} = 1920 \\, \\text{dollars}\n   \\]\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 on Friday: 64\n   - Meals given on Saturday: 30\n   - Meals given on Sunday: 48\n\n   Adding these together:\n   \\[\n   64 + 30 + 48 = 142\n   \\]\n\n2. **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   Subtracting these:\n   \\[\n   1360 - 142 = 1218\n   \\]\n\n#### 1218", "score": 1.0}, {"id": "gsm8k-372", "gold": "5", "pred_text": "To determine how many hours a week Hallie had dance practice, we need to break down the practice times for each day and then sum them up.\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   - Hallie's Saturday practice lasted twice as long as her Tuesday practice.\n   - Since her Tuesday practice was 1 hour, her Saturday practice would be \\(2 \\times 1 = 2\\) hours.\n\nNow, we sum up the practice times for all the days:\n\n- Tuesday: 1 hour\n- Thursday: 2 hours\n- Saturday: 2 hours\n\nAdding these together:\n\\[ 1 + 2 + 2 = 5 \\]\n\nSo, Hallie had dance practice for a total of 5 hours a week.\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**: Ali calls 3 families.\n2. **Second Round**: Each of the 3 families calls 3 other families. So, \\(3 \\times 3 = 9\\) families are notified.\n3. **Third Round**: Each of the 9 families calls 3 other families. So, \\(9 \\times 3 = 27\\) families are notified.\n4. **Fourth Round**: Each of the 27 families calls 3 other families. So, \\(27 \\times 3 = 81\\) families are notified.\n\nThus, during the fourth round of calls, 81 families will be notified.\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**: Nissa hires 60 seasonal workers to play 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 number of elves who quit from the initial number: \\( 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 number: \\( 40 - 10 = 30 \\)\n\n#### 30\n\nSo, the final number of elves left is 30.", "score": 1.0}, {"id": "gsm8k-973", "gold": "79", "pred_text": "To solve this problem, let's break it down step by step.\n\n1. **Identify the number of states in the USA:**\n   The USA has 50 states.\n\n2. **Express the number of states in India in terms of the USA's states:**\n   According to the problem, India has 4 more than half the number of states in the USA. We can write this as:\n   \\[\n   \\text{Number of states in India} = \\frac{1}{2} \\times \\text{Number of states in USA} + 4\n   \\]\n\n3. **Substitute the number of states in the USA into the equation:**\n   \\[\n   \\text{Number of states in India} = \\frac{1}{2} \\times 50 + 4\n   \\]\n\n4. **Calculate half the number of states in the USA:**\n   \\[\n   \\frac{1}{2} \\times 50 = 25\n   \\]\n\n5. **Add 4 to the result:**\n   \\[\n   25 + 4 = 29\n   \\]\n\n6. **Determine the total number of states in both countries:**\n   \\[\n   \\text{Total number of states} = \\text{Number of states in USA} + \\text{Number of states in India} = 50 + 29 = 79\n   \\]\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 \\times 30 = 120\\) pieces of gum.\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 \\div 15 = 8\\).\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 current ages:**\n   - We know that Jan is currently 30 years old.\n   - Jean is two years older than Mark, so if Mark is \\(M\\) years old, then Jean is \\(M + 2\\) years old.\n\n2. **Determine Mark's age two years ago:**\n   - Two years ago, Mark was \\(M - 2\\) years old.\n   - At that time, Mark was 5 years older than half of Jan's age two years ago.\n\n3. **Calculate Jan's age two years ago:**\n   - Jan's current age is 30, so two years ago, Jan was \\(30 - 2 = 28\\) years old.\n\n4. **Set up the equation for Mark's age two years ago:**\n   - Two years ago, Mark was 5 years older than half of Jan's age at that time.\n   - Half of Jan's age two years ago is \\(\\frac{28}{2} = 14\\).\n   - Therefore, two years ago, Mark was \\(14 + 5 = 19\\) years old.\n\n5. **Determine Mark's current age:**\n   - Since two years ago Mark was 19, his current age is \\(19 + 2 = 21\\) years old.\n\n6. **Calculate Jean's current age:**\n   - Jean is two years older than Mark, so Jean's current age is \\(21 + 2 = 23\\) years old.\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 that prevents him from having to turn in his homework. We will then subtract the combined probability of these scenarios from 100% to find the probability that he will have to turn in his homework.\n\n1. **Probability of having a substitute teacher who won't collect the homework:**\n   - There's a 50% chance that Marcus will have a substitute teacher.\n   - If a substitute teacher is present, Marcus doesn't have to turn in his homework.\n   - Probability: \\(50\\%\\)\n\n2. **Probability of the normal teacher giving everyone an extension:**\n   - If the normal teacher is present, there's a 40% chance she will give everyone an extension.\n   - If the normal teacher gives an extension, Marcus doesn't have to turn in his homework.\n   - Probability: \\(40\\%\\)\n\n3. **Probability of Marcus getting a personal extension:**\n   - If the normal teacher is present and doesn't give an extension, there's a 20% chance Marcus can convince the teacher his dog ate his assignment and get a personal extension.\n   - If Marcus gets a personal extension, he doesn't have to turn in his homework.\n   - Probability: \\(20\\%\\)\n\nTo find the overall probability that Marcus will not have to turn in his homework, we need to consider the combined probabilities of these scenarios. We will use the law of total probability, which involves multiplying the probabilities of each scenario by the probability of that scenario occurring and then summing these products.\n\n- **Probability of having a substitute teacher:**\n  - \\(0.50\\)\n\n- **Probability of the normal teacher giving an extension:**\n  - \\(0.40\\)\n\n- **Probability of Marcus getting a personal extension:**\n  - \\(0.20\\)\n\nThe combined probability of Marcus not having to turn in his homework is:\n\\[ P(\\text{No homework}) = P(\\text{Substitute}) + P(\\text{Normal teacher gives extension}) + P(\\text{Marcus gets personal extension}) \\]\n\nSince these events are mutually exclusive (only one of these scenarios can occur), we can sum their probabilities:\n\\[ P(\\text{No homework}) = 0.50 + 0.40 + 0.20 = 1.10 \\]\n\nHowever, this sum exceeds 10", "score": 0.0}, {"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 one house's bedrooms is \\(3 \\text{ bedrooms} \\times 2 \\text{ windows per bedroom} = 6 \\text{ windows}\\).\n   - Since there are 2 houses, the total number of windows in all the bedrooms is \\(2 \\text{ houses} \\times 6 \\text{ windows per house} = 12 \\text{ windows}\\).\n\n2. **Calculate the number of additional windows in each house:**\n   - Each house has an additional 4 windows not connected to bedrooms.\n   - Therefore, the total number of additional windows in both houses is \\(2 \\text{ houses} \\times 4 \\text{ windows per 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 from bedrooms} + 8 \\text{ additional windows} = 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 both the cost of shipping the book and the refund Milly will receive from Amazon. Let's break it down step by step.\n\n1. **Calculate the shipping cost:**\n   - The book weighs 4 pounds, and the shipping company charges $0.35 per pound.\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   - The book needs to be returned to a distribution center 20 miles away, and the shipping company charges $0.08 per mile.\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   - Adding the cost for weight and distance gives 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 from Amazon:**\n   - Amazon will refund 75% of the book's purchase price.\n     \\[\n     \\text{Purchase price} = 32 \\text{ dollars}\n     \\]\n     \\[\n     \\text{Refund amount} = 32 \\text{ dollars} \\times 0.75 = 24 \\text{ dollars}\n     \\]\n\n3. **Calculate the net loss:**\n   - Milly's net loss is the cost of the book minus the refund.\n     \\[\n     \\text{Net loss} = 32 \\text{ dollars} - 24 \\text{ dollars} = 8 \\text{ dollars}\n     \\]\n   - Adding the shipping cost to the net loss gives the total amount Milly will lose.\n     \\[\n     \\text{Total loss} = 8 \\text{ dollars} + 3.00 \\text", "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, he sold 40 square meters for $50.\n\n2. **Second Sale:**\n   - After the first sale, he has \\( 80 - 40 = 40 \\) square meters left.\n   - He 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, he sold 10 square meters for $30.\n\n3. **Remaining Land and Final Sale:**\n   - After the second sale, he has \\( 40 - 10 = 30 \\) square meters left.\n   - He sold the remaining 30 square meters for $3 per square meter.\n   - The total amount from selling the remaining land is \\( 30 \\times 3 = 90 \\) dollars.\n\n4. **Total Earnings:**\n   - From the first sale: $50\n   - From the second sale: $30\n   - From the final sale: $90\n   - Total earnings: \\( 50 + 30 + 90 = 170 \\) dollars.\n\n#### 170", "score": 1.0}, {"id": "gsm8k-109", "gold": "28", "pred_text": "To solve this problem, let's break it down step by step:\n\n1. **Calculate the total cost of 10 gallons of gas without any cashback:**\n   - The cost per gallon is $3.00.\n   - Therefore, the total cost for 10 gallons is \\(10 \\times 3.00 = 30.00\\) dollars.\n\n2. **Calculate the total cashback for 10 gallons:**\n   - The cashback is $0.20 per gallon.\n   - Therefore, the total cashback for 10 gallons is \\(10 \\times 0.20 = 2.00\\) dollars.\n\n3. **Calculate the final cost after applying the cashback:**\n   - Subtract the total cashback from the total cost.\n   - Therefore, the final cost is \\(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 a discounted price.\n\n3. **Calculate the effective cost per pound:**\n   - Normally, butter costs $4.00 per pound.\n   - With the promotion, he pays full price for the first pound and half price for the second half pound.\n   - The cost for the first pound is $4.00.\n   - The cost for the second half pound is \\( \\frac{4.00}{2} = 2.00 \\) dollars.\n   - Therefore, the total cost for 1.5 pounds of butter is \\( 4.00 + 2.00 = 6.00 \\) dollars.\n\n4. **Determine the total cost for 6 pounds of butter:**\n   - Since 6 pounds of butter is equivalent to 4.5 pounds under the promotion (6 pounds / 1.5 pounds per set = 4 sets).\n   - Each set costs $6.00.\n   - Therefore, the total cost for 6 pounds of butter is \\( 4 \\times 6.00 = 24.00 \\) dollars.\n\n#### 24.00", "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 Blake's total distance.**\n- Blake runs back and forth 15 times.\n- Each back and forth run covers the length of the football field twice (to the end and back).\n- The length of the football field is 100 yards.\n- Therefore, each back and forth run is \\(100 \\times 2 = 200\\) yards.\n- Blake runs this distance 15 times, so his total distance is \\(200 \\times 15 = 3000\\) yards.\n\n**Step 2: Calculate Kelly's total distance.**\n- Kelly runs back and forth once, covering the length of the football field twice.\n- This is \\(100 \\times 2 = 200\\) yards.\n- Kelly then runs to the 40-yard line and back 34 times.\n- The distance from the starting point to the 40-yard line and back is \\(40 \\times 2 = 80\\) yards.\n- Kelly does this 34 times, so the distance for these runs is \\(80 \\times 34 = 2720\\) yards.\n- Adding the initial back and forth run, Kelly's total distance is \\(200 + 2720 = 2920\\) yards.\n\n**Step 3: Determine the winner and the difference in distances.**\n- Blake runs 3000 yards.\n- Kelly runs 2920 yards.\n- The difference in distances is \\(3000 - 2920 = 80\\) yards.\n\n#### 80", "score": 1.0}, {"id": "gsm8k-307", "gold": "16", "pred_text": "To solve this problem, let's break it down 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 a week, Sandy will lose 2 pounds in 4 weeks.\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 Joey loses 8 pounds in 4 weeks.\n   - Since Sandy loses 0.5 pounds per week, we need to find out how many weeks it takes for Sandy to lose 8 pounds.\n   - We use the formula:\n     \\[\n     \\text{Number of weeks} = \\frac{\\text{Total weight loss}}{\\text{Weekly weight loss}} = \\frac{8 \\text{ pounds}}{0.5 \\text{ pounds per week}} = 16 \\text{ weeks}\n     \\]\n\nTherefore, it will take Sandy 16 weeks to lose the same amount of weight that Joey loses in 4 weeks. \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 picture frame costs $20.\n   - There are 44 seniors.\n   - Total cost for picture frames = \\(44 \\times 20 = 880\\) dollars.\n\n2. **Cost of etching the logo on each picture frame:**\n   - The etching cost is an additional 20% of the frame cost.\n   - Additional cost per frame = \\(20 \\times 0.20 = 4\\) dollars.\n   - Total additional cost for etching = \\(44 \\times 4 = 176\\) dollars.\n\n3. **Cost of pins for 2 seniors:**\n   - Each pin costs $5.\n   - Total cost for pins = \\(2 \\times 5 = 10\\) dollars.\n\n4. **Cost of cords for officers:**\n   - 1/4 of the seniors are officers.\n   - Number of officers = \\(44 \\times \\frac{1}{4} = 11\\) officers.\n   - Each cord costs $12.\n   - Total cost for cords = \\(11 \\times 12 = 132\\) dollars.\n\n5. **Total cost for all senior gifts:**\n   - Total cost = Cost of picture frames + Cost of etching + Cost of pins + Cost of cords\n   - Total cost = \\(880 + 176 + 10 + 132 = 1198\\) dollars.\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. **Calculate the number of sheets used per week:**\n   - Miguel uses 2 pads of paper per week.\n   - Each pad contains 30 sheets of paper.\n   - Therefore, the number of sheets used per week is:\n     \\[\n     2 \\text{ pads/week} \\times 30 \\text{ sheets/pad} = 60 \\text{ sheets/week}\n     \\]\n\n2. **Calculate 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:\n     \\[\n     60 \\text{ sheets/week} \\times 4 \\text{ weeks/month} = 240 \\text{ sheets/month}\n     \\]\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 in rewards.\n   - Therefore, the number of $20 increments in $80 is \\( \\frac{80}{20} = 4 \\).\n   - So, the customer earned \\( 4 \\times 1 = 4 \\) dollars 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 \\) dollars.\n\n3. **Apply the coupon:**\n   - The coupon takes twice the amount of the rewards off the price.\n   - The amount of the rewards is $4.\n   - Therefore, the coupon takes \\( 2 \\times 4 = 8 \\) dollars off the price.\n   - After applying the coupon, the amount to be paid is \\( 39 - 8 = 31 \\) dollars.\n\n#### 31", "score": 1.0}, {"id": "gsm8k-342", "gold": "87", "pred_text": "Let's break down the problem step by step:\n\n1. **Laurel's friend gave her 24 baby outfits.**\n   - Number of outfits from friend: 24\n\n2. **At her baby shower, Laurel received twice the amount of new baby outfits.**\n   - Twice the amount of 24 is \\(2 \\times 24 = 48\\)\n   - Number of outfits from baby shower: 48\n\n3. **Laurel's mom gifted her with another 15 baby outfits.**\n   - Number of outfits from mom: 15\n\n4. **To find the total number of outfits, we add all the outfits together:**\n   - Total outfits = Outfits from friend + Outfits from baby shower + Outfits from mom\n   - Total outfits = 24 + 48 + 15\n\n5. **Perform the addition:**\n   - 24 + 48 = 72\n   - 72 + 15 = 87\n\nSo, the total number of baby outfits Laurel has is 87.\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 for the muffaletta sandwiches, we need to 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:\n     \\[\n     \\frac{20 \\text{ people}}{4 \\text{ people per sandwich}} = 5 \\text{ sandwiches}\n     \\]\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:\n     \\[\n     5 \\text{ sandwiches} \\times 1 \\text{ pound per sandwich} = 5 \\text{ pounds of meat}\n     \\]\n   - For 5 sandwiches, the total amount of cheese needed is:\n     \\[\n     5 \\text{ sandwiches} \\times 1 \\text{ pound per sandwich} = 5 \\text{ pounds of cheese}\n     \\]\n\n3. **Calculate the cost of the meat and cheese:**\n   - The cost of meat is $7.00 per pound.\n   - The cost of cheese is $3.00 per pound.\n   - The total cost of the meat is:\n     \\[\n     5 \\text{ pounds} \\times 7 \\text{ dollars per pound} = 35 \\text{ dollars}\n     \\]\n   - The total cost of the cheese is:\n     \\[\n     5 \\text{ pounds} \\times 3 \\text{ dollars per pound} = 15 \\text{ dollars}\n     \\]\n\n4. **Calculate the total cost:**\n   - The total cost of the meat and cheese is:\n     \\[\n     35 \\text{ dollars} + 15 \\text{ dollars} = 50 \\text{ dollars}\n     \\]\n\nTherefore, the total amount of money Tyson would spend on the meat and cheese to make enough sandwiches to serve 20 people is **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. **Identify the current scores and the desired average:**\n   - Brinley's current scores are 89, 71, 92, 100, and 86.\n   - The desired average is 93.\n\n2. **Calculate the total score needed for an average of 93:**\n   - Since the average is the total score divided by the number of tests, and Mr. Bert allows removing the lowest score, we need to consider the best five scores.\n   - The number of tests is 6, but we remove the lowest score, so we consider 5 scores.\n   - The formula for the average is: \\(\\text{Average} = \\frac{\\text{Total Score}}{\\text{Number of Tests}}\\).\n   - Rearranging for the total score: \\(\\text{Total Score} = \\text{Average} \\times \\text{Number of Tests}\\).\n   - Substituting the values: \\(\\text{Total Score} = 93 \\times 5 = 465\\).\n\n3. **Determine the lowest score among the first five tests:**\n   - The scores are 89, 71, 92, 100, and 86.\n   - The lowest score is 71.\n\n4. **Calculate the sum of the best five scores:**\n   - Remove the lowest score (71) from the current scores.\n   - The remaining scores are 89, 92, 100, and 86.\n   - Sum these scores: \\(89 + 92 + 100 + 86 = 367\\).\n\n5. **Determine the score needed on the sixth test:**\n   - Let \\(x\\) be the score on the sixth test.\n   - The total score needed is 465.\n   - The sum of the best five scores plus the sixth test score should equal 465: \\(367 + x = 465\\).\n   - Solving for \\(x\\): \\(x = 465 - 367 = 98\\).\n\nTherefore, Brinley needs a score of 98 on her sixth test to get an average of 9", "score": 0.0}, {"id": "gsm8k-777", "gold": "4400", "pred_text": "Let's break down the problem step by step:\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   These series movies cost $6 each instead of $10.\n\n3. **Cost of series movies**: \n   \\[\n   \\text{Total cost for series movies} = 200 \\times 6 = 1200\n   \\]\n\n4. **Remaining movies**: Subtract the series movies from the total.\n   \\[\n   \\text{Remaining movies} = 600 - 200 = 400\n   \\]\n\n5. **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\n6. **Cost of older movies**: \n   \\[\n   \\text{Total cost for older movies} = 160 \\times 5 = 800\n   \\]\n\n7. **Normal movies**: The rest of the movies are normal movies, which cost $10 each.\n   \\[\n   \\text{Number of normal movies} = 400 - 160 = 240\n   \\]\n\n8. **Cost of normal movies**: \n   \\[\n   \\text{Total cost for normal movies} = 240 \\times 10 = 2400\n   \\]\n\n9. **Total cost**: Add the costs of all the movies together.\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.\n   - Assuming he travels 24 hours a day (for simplicity, ignoring any stops for relaxation or gas), the total travel time is \\(3 \\text{ days} \\times 24 \\text{ hours/day} = 72 \\text{ hours}\\).\n   - Therefore, the total distance he travels is \\(72 \\text{ hours} \\times 50 \\text{ km/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 that Michael has covered:**\n   - The percentage is calculated by dividing the distance Michael has traveled by the total distance and then multiplying by 100.\n   - So, the percentage is \\(\\frac{3600 \\text{ km}}{6000 \\text{ km}} \\times 100 = 60\\%\\).\n\n#### 60%", "score": 1.0}, {"id": "gsm8k-133", "gold": "13", "pred_text": "Let's break down the problem step by step.\n\n1. **Monday's Walk:**\n   Walt walked 4 miles on Monday.\n\n2. **Tuesday's Walk:**\n   Walt walked 6 times as many miles as he did on Monday. Therefore, the distance he walked on Tuesday is:\n   \\[\n   6 \\times 4 = 24 \\text{ miles}\n   \\]\n\n3. **Total Mileage from Monday to Wednesday:**\n   The total mileage Walt walked from Monday to Wednesday is 41 miles.\n\n4. **Calculate Wednesday's Walk:**\n   To find out how many miles Walt walked on Wednesday, we need to subtract the miles walked on Monday and Tuesday from the total mileage. Let \\( W \\) represent the miles walked on Wednesday. The equation is:\n   \\[\n   4 + 24 + W = 41\n   \\]\n\n5. **Solve for \\( W \\):**\n   Combine the known distances:\n   \\[\n   28 + W = 41\n   \\]\n   Subtract 28 from both sides to isolate \\( W \\):\n   \\[\n   W = 41 - 28\n   \\]\n   \\[\n   W = 13\n   \\]\n\nTherefore, Walt walked 13 miles on Wednesday. \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 a month (30 days in June).**\n\nLet's start with step 1:\n\n1. **Additional distance each day:**\n   Tyson runs 5000 meters every day. His coach wants him to run 1/5 times more meters. To find 1/5 of 5000 meters:\n   \\[\n   \\frac{1}{5} \\times 5000 = 1000 \\text{ meters}\n   \\]\n\n2. **Total distance each day after following the coach's advice:**\n   Tyson's new daily distance will be his original distance plus the additional distance:\n   \\[\n   5000 \\text{ meters} + 1000 \\text{ meters} = 6000 \\text{ meters}\n   \\]\n\n3. **Total distance in June:**\n   June 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   6000 \\text{ meters/day} \\times 30 \\text{ days} = 180000 \\text{ meters}\n   \\]\n\nTherefore, the total distance Tyson covered in June is:\n#### 180000 meters", "score": 1.0}, {"id": "gsm8k-592", "gold": "1", "pred_text": "To determine how much more expensive the boots are on eBay compared to Amazon, we need to calculate the total cost for each platform and then find the difference.\n\n**Step 1: Calculate the total cost on Amazon.**\n- Cost of boots on Amazon: $16\n- Shipping cost on Amazon: $4\n- Total cost on Amazon: $16 + $4 = $20\n\n**Step 2: Calculate the total cost on eBay.**\n- Cost of boots on eBay: $13\n- Shipping cost on eBay: Twice the cost of shipping on Amazon, which is 2 * $4 = $8\n- Total cost on eBay: $13 + $8 = $21\n\n**Step 3: Find the difference in cost between eBay and Amazon.**\n- Difference in cost: $21 (eBay) - $20 (Amazon) = $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 for each type of programmer:**\n   - Each Junior programmer is paid $2000 per month.\n   - Each Senior programmer is paid $400 more than a Junior programmer, so each Senior programmer is paid \\( 2000 + 400 = 2400 \\) dollars per month.\n\n4. **Calculate the total monthly salary for all Junior programmers:**\n   - The total monthly salary for all Junior programmers is \\( 40 \\times 2000 = 80000 \\) dollars.\n\n5. **Calculate the total monthly salary for all Senior programmers:**\n   - The total monthly salary for all Senior programmers is \\( 60 \\times 2400 = 144000 \\) dollars.\n\n6. **Calculate the total monthly salary for all programmers:**\n   - The total monthly salary for all programmers is the sum of the salaries for Junior and Senior programmers.\n   - Therefore, the total monthly salary is \\( 80000 + 144000 = 224000 \\) dollars.\n\n#### 224000", "score": 1.0}, {"id": "gsm8k-438", "gold": "2", "pred_text": "To determine the cost per serving for Antoine's French onion soup, we need to follow these steps:\n\n1. **Calculate the total amount of onions needed:**\n   - Antoine's recipe calls for 2 pounds of onions.\n   - He doubles this 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 per pound.\n   - Therefore, the cost for 4 pounds of onions is \\(4 \\times 2 = 8\\) dollars.\n\n3. **Calculate the cost of the beef stock:**\n   - Antoine 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 the ingredients:**\n   - The total cost is the sum of the cost of the onions and the cost of the beef stock.\n   - Therefore, the total cost is \\(8 + 4 = 12\\) dollars.\n\n5. **Calculate the cost per serving:**\n   - The soup serves 6 people.\n   - Therefore, the cost per serving is \\(\\frac{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   - Number of questions: 10\n   - Percentage correct: 80%\n   - Points per correct answer: 1\n   - Points earned: \\(10 \\times 0.80 \\times 1 = 8\\)\n\n2. **True/false questions:**\n   - Number of questions: 20\n   - Percentage correct: 90%\n   - Points per correct answer: 1\n   - Points earned: \\(20 \\times 0.90 \\times 1 = 18\\)\n\n3. **Long-answer questions:**\n   - Number of questions: 5\n   - Percentage correct: 60%\n   - Points per correct answer: 5\n   - Points earned: \\(5 \\times 0.60 \\times 5 = 15\\)\n\nNow, we sum up the points from all types of questions:\n\n- Points from multiple-choice questions: 8\n- Points from true/false questions: 18\n- Points from long-answer questions: 15\n\nTotal points: \\(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 of TV watched each day.\n\n1. **Monday and Tuesday:**\n   - Each day, Frankie watched a 1-hour episode.\n   - Total for Monday and Tuesday: \\(1 \\text{ hour/day} \\times 2 \\text{ days} = 2 \\text{ hours}\\).\n\n2. **Wednesday:**\n   - Frankie watched a few episodes of a 30-minute show.\n   - Let \\(x\\) be the number of 30-minute episodes watched on Wednesday.\n   - Total for Wednesday: \\(x \\times 0.5 \\text{ hours/episode} = 0.5x \\text{ hours}\\).\n\n3. **Thursday:**\n   - Frankie watched a 1-hour episode and a 30-minute show.\n   - Total for Thursday: \\(1 \\text{ hour} + 0.5 \\text{ hours} = 1.5 \\text{ hours}\\).\n\n4. **Friday:**\n   - Frankie watched two 1-hour episodes.\n   - Total for Friday: \\(2 \\times 1 \\text{ hour/episode} = 2 \\text{ hours}\\).\n\n5. **Total hours of TV watched in the week:**\n   - Given: 7 hours.\n   - Sum of hours for Monday, Tuesday, Thursday, and Friday: \\(2 \\text{ hours} + 1.5 \\text{ hours} + 2 \\text{ hours} = 5.5 \\text{ hours}\\).\n\n6. **Calculate the hours for Wednesday:**\n   - Total hours for the week: 7 hours.\n   - Total hours for Monday, Tuesday, Thursday, and Friday: 5.5 hours.\n   - Therefore, hours for Wednesday: \\(7 \\text{ hours} - 5.5 \\text{ hours} = 1.5 \\text{ hours}\\).\n\n7. **Determine the number of 30-minute episodes watched on Wednesday:**\n   - Let \\(x\\) be the number of 30-minute episodes.\n   - \\(0.5x = 1.5 \\text{ hours}\\).\n   - Solving for \\(x\\): \\(x = \\frac{1.5 \\text{ hours}}{0.5 \\text{ hours/episode}} = 3 \\text{ episodes}\\).\n\n#### 3", "score": 1.0}, {"id": "gsm8k-40", "gold": "8", "pred_text": "To determine the age of Brandon's iPhone, we need to follow the relationships given in the problem step by step.\n\n1. **Determine the age of Suzy's iPhone:**\n   - Suzy’s iPhone is 1 year old.\n\n2. **Determine the age of Ben's iPhone:**\n   - Ben's iPhone is two times older than Suzy's iPhone.\n   - Therefore, Ben's iPhone is \\(2 \\times 1 = 2\\) years old.\n\n3. **Determine the age of Brandon's iPhone:**\n   - Brandon's iPhone is four times as old as Ben's iPhone.\n   - Therefore, Brandon's iPhone is \\(4 \\times 2 = 8\\) years old.\n\n#### 8", "score": 1.0}, {"id": "gsm8k-1223", "gold": "8", "pred_text": "To determine the cost of a 36-minute call from a payphone, we need to break down the call into two segments: the first 16 minutes and the remaining minutes.\n\n1. **Calculate the cost for the first 16 minutes:**\n   - The cost for each minute during the first 16 minutes is $0.25.\n   - Therefore, the total cost for the first 16 minutes is:\n     \\[\n     16 \\text{ minutes} \\times \\$0.25/\\text{minute} = \\$4.00\n     \\]\n\n2. **Calculate the cost for the remaining minutes:**\n   - The total call duration is 36 minutes.\n   - Subtract the first 16 minutes from the total call duration to find the remaining minutes:\n     \\[\n     36 \\text{ minutes} - 16 \\text{ minutes} = 20 \\text{ minutes}\n     \\]\n   - The cost for each minute after the first 16 minutes is $0.20.\n   - Therefore, the total cost for the remaining 20 minutes is:\n     \\[\n     20 \\text{ minutes} \\times \\$0.20/\\text{minute} = \\$4.00\n     \\]\n\n3. **Calculate the total cost of the 36-minute call:**\n   - Add the cost of the first 16 minutes to the cost of the remaining 20 minutes:\n     \\[\n     \\$4.00 + \\$4.00 = \\$8.00\n     \\]\n\n#### $8.00", "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 Coffee Consumption:**\n   - The daily recommended amount of coffee is 4 cups.\n   - Octavia drinks half of the daily recommended amount.\n   - Therefore, Octavia drinks \\( \\frac{4}{2} = 2 \\) cups of coffee daily.\n\n2. **Determine Juan's Current Coffee Consumption:**\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 daily.\n\n3. **Determine the Reduction Needed:**\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   - To meet the doctor's recommendation, Juan needs to drink 4 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.\n\n1. **Calculate the amount of water 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 18,000 = 4,500 \\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 4,500 = 3,375 \\text{ gallons}\n     \\]\n   - Total water pumped on the first day:\n     \\[\n     4,500 + 3,375 = 7,875 \\text{ gallons}\n     \\]\n\n2. **Calculate 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 4,500 = 3,000 \\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 3,375 = 1,125 \\text{ gallons}\n     \\]\n   - Total water pumped on the second day:\n     \\[\n     3,000 + 1,125 = 4,125 \\text{ gallons}\n     \\]\n\n3. **Calculate the total amount of water pumped over the two days:**\n   - Total water pumped over the two days:\n     \\[\n     7,875 + 4,125 = 12,000 \\text{ gallons}\n     \\]\n\n4. **Calculate the remaining capacity of the tank:**\n   - The", "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 to find the total before the discount:**\n   \\[\n   \\$15.00 + \\$10.00 + \\$12.00 + \\$13.00 = \\$50.00\n   \\]\n\n3. **Calculate the 10% discount:**\n   \\[\n   10\\% \\text{ of } \\$50.00 = 0.10 \\times \\$50.00 = \\$5.00\n   \\]\n\n4. **Subtract the discount from the total cost:**\n   \\[\n   \\$50.00 - \\$5.00 = \\$45.00\n   \\]\n\nTherefore, Marcus' total bill is \\(\\boxed{45.00}\\).\n\n#### 45.00", "score": 1.0}, {"id": "gsm8k-111", "gold": "16", "pred_text": "To solve this problem, we need to determine how much water Julia's boat took on by the time she reached the shore. Let's break it down step by step.\n\n1. **Determine the speed of Julia's boat:**\n   - Julia rowed 20 feet in 16 seconds.\n   - To find her speed in feet per second, we use the formula:\n     \\[\n     \\text{Speed} = \\frac{\\text{Distance}}{\\text{Time}} = \\frac{20 \\text{ feet}}{16 \\text{ seconds}} = 1.25 \\text{ feet per second}\n     \\]\n\n2. **Calculate the total distance to the shore:**\n   - Julia took 64 seconds to reach the shore.\n   - Using her speed, we can find the total distance:\n     \\[\n     \\text{Distance} = \\text{Speed} \\times \\text{Time} = 1.25 \\text{ feet per second} \\times 64 \\text{ seconds} = 80 \\text{ feet}\n     \\]\n\n3. **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   - To find the rate in liters per foot, we use:\n     \\[\n     \\text{Rate} = \\frac{2 \\text{ liters}}{10 \\text{ feet}} = 0.2 \\text{ liters per foot}\n     \\]\n\n4. **Calculate the total amount of water taken on:**\n   - Julia rowed 80 feet to reach the shore.\n   - Using the rate of water entry, we find the total water taken on:\n     \\[\n     \\text{Total Water} = \\text{Rate} \\times \\text{Distance} = 0.2 \\text{ liters per foot} \\times 80 \\text{ feet} = 16 \\text{ liters}\n     \\]\n\nTherefore, the boat took on **16 liters** of water by the time Julia reached the shore. \n\n#### 16", "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 cheesecake slices separately, and then sum these amounts.\n\n1. **Calculate the revenue from brownies:**\n   - Tommy sells each brownie for $3 per slice.\n   - He sells 43 brownies.\n   - Therefore, the revenue from brownies is \\(43 \\times 3 = 129\\) dollars.\n\n2. **Calculate the revenue from cheesecake slices:**\n   - Tommy sells each slice of cheesecake for $4.\n   - He sells 23 slices of cheesecake.\n   - Therefore, the revenue from cheesecake slices is \\(23 \\times 4 = 92\\) dollars.\n\n3. **Calculate the total revenue:**\n   - Add the revenue from brownies and cheesecake slices.\n   - Total revenue = \\(129 + 92 = 221\\) dollars.\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, we need to 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 from the account over 2 years:**\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\nThus, after 2 years, Katina will have \\$600 remaining in her savings account.\n\n#### 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 the number of gumballs he can buy is directly related to the number of nickels he has.\n\nLet's break down the problem step by step:\n\n1. **Convert all coins to nickels:**\n   - Colby has 8 quarters. Since 1 quarter is equal to 5 nickels, 8 quarters are equal to \\(8 \\times 5 = 40\\) nickels.\n   - Colby has 6 dimes. Since 1 dime is equal to 2 nickels, 6 dimes are equal to \\(6 \\times 2 = 12\\) nickels.\n   - Colby has 14 nickels, which are already in nickels.\n   - Colby has 15 pennies. Since 1 nickel is equal to 5 pennies, 15 pennies are equal to \\(15 \\div 5 = 3\\) nickels.\n\n2. **Sum up all the nickels:**\n   - Total nickels from quarters: 40\n   - Total nickels from dimes: 12\n   - Total nickels from nickels: 14\n   - Total nickels from pennies: 3\n   - Therefore, the total number of nickels Colby has is \\(40 + 12 + 14 + 3 = 69\\) nickels.\n\n3. **Determine how many gumballs Colby can buy:**\n   - Since each gumball costs 1 nickel, the number of gumballs Colby can buy is equal to the total number of nickels he has, which is 69.\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 them.\n\n**Step 1: Calculate the cost of the first mixture (1/2 pound almonds and 1/3 pound walnuts).**\n\n- Cost of almonds in the first mixture: \\( \\frac{1}{2} \\text{ pound} \\times \\$10/\\text{pound} = \\$5 \\)\n- Cost of walnuts in the first mixture: \\( \\frac{1}{3} \\text{ pound} \\times \\$15/\\text{pound} = \\$5 \\)\n- Total cost of the first mixture: \\( \\$5 + \\$5 = \\$10 \\)\n\n**Step 2: Calculate the cost of the second mixture (1/5 pound almonds and 1/3 pound walnuts).**\n\n- Cost of almonds in the second mixture: \\( \\frac{1}{5} \\text{ pound} \\times \\$10/\\text{pound} = \\$2 \\)\n- Cost of walnuts in the second mixture: \\( \\frac{1}{3} \\text{ pound} \\times \\$15/\\text{pound} = \\$5 \\)\n- Total cost of the second mixture: \\( \\$2 + \\$5 = \\$7 \\)\n\n**Step 3: Find the difference in cost between the two mixtures.**\n\n- Difference in cost: \\( \\$10 - \\$7 = \\$3 \\)\n\n#### 3", "score": 1.0}, {"id": "gsm8k-95", "gold": "40", "pred_text": "Let's break down the problem step by step.\n\n1. **Total number of students**: 200\n\n2. **Number of boys**: \n   \\[\n   \\text{Number of boys} = \\frac{2}{5} \\times 200 = \\frac{400}{5} = 80\n   \\]\n\n3. **Number of girls**: \n   \\[\n   \\text{Number of girls} = 200 - 80 = 120\n   \\]\n\n4. **Number of girls in the girl scout**: \n   \\[\n   \\text{Number of girls in the girl scout} = \\frac{2}{3} \\times 120 = \\frac{240}{3} = 80\n   \\]\n\n5. **Number of girls not in the girl scout**: \n   \\[\n   \\text{Number of girls not in the girl scout} = 120 - 80 = 40\n   \\]\n\n#### 40", "score": 1.0}, {"id": "gsm8k-124", "gold": "10", "pred_text": "Let's break down the problem step by step.\n\n1. **Initial Letters Needing Stamps**: Jennie starts with 60 letters needing stamps.\n\n2. **Letters Stamped by Jennie**: She stamps one-third of these letters. To find out how many letters this is, we calculate:\n   \\[\n   \\frac{1}{3} \\times 60 = 20\n   \\]\n   So, Jennie stamps 20 letters.\n\n3. **Letters Already Stamped Before Jennie**: We know that after Jennie stamps 20 letters, there are now 30 letters in the pile of already-stamped letters. This means that before Jennie started, there were:\n   \\[\n   30 - 20 = 10\n   \\]\n   letters already stamped.\n\n4. **Total Letters Stamped**: The total number of letters that are now stamped (either before or after Jennie's work) is:\n   \\[\n   10 + 20 = 30\n   \\]\n\n5. **Letters Needing Stamps After Jennie's Work**: Since Jennie started with 60 letters needing stamps and she stamped 20 of them, the number of letters still needing stamps is:\n   \\[\n   60 - 20 = 40\n   \\]\n\n6. **Total Letters Now**: The total number of letters now, which includes both the letters needing stamps and the letters already stamped, is:\n   \\[\n   40 + 30 = 70\n   \\]\n\nHowever, the question specifically asks for the number of letters in the pile of already-stamped letters when Jennie began. We found that this number was 10.\n\n#### 10", "score": 1.0}, {"id": "gsm8k-800", "gold": "428", "pred_text": "Let's break down the problem step by step.\n\n1. **Pierson's Score**: Pierson scored 278 points in one game of bowling.\n\n2. **Nikita's Score Calculation**:\n   - First, we need to find half of Pierson's score: \\(\\frac{278}{2} = 139\\).\n   - Nikita scored 11 more than this half. So, we add 11 to 139: \\(139 + 11 = 150\\).\n\n3. **Total Score**:\n   - To find the total score of Pierson and Nikita, we add Pierson's score to Nikita's score: \\(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 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 \\]\n\\[ 2L = 22 - 8 \\]\n\\[ 2L = 14 \\]\n\\[ L = 7 \\]\n\nNow that we know \\( L = 7 \\), we can substitute this back into the second equation to find \\( W \\):\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": "To solve this problem, let's break it down step by step:\n\n1. **Initial Purchase**: Ram buys 25 pens. These are the initial pens he has.\n\n2. **Using Pens**: As Ram uses these pens, the ink in them will run low. For every 5 empty pens, he can mix the ink to make 1 full pen.\n\n3. **First Cycle of Making New Pens**: \n   - Initially, Ram has 25 pens.\n   - After using 5 pens, he can make 1 new pen from the ink of those 5 pens.\n   - This process can be repeated. For every 5 pens used, he gets 1 new pen.\n\n4. **Calculating the Number of New Pens**: \n   - To find out how many new pens he can make, we divide the number of pens used by 5.\n   - After using 25 pens, he can make \\( \\frac{25}{5} = 5 \\) new pens.\n\n5. **Total Pens After First Cycle**: \n   - Initially, he had 25 pens.\n   - After making 5 new pens, the total number of pens is \\( 25 + 5 = 30 \\).\n\n6. **Second Cycle of Making New Pens**: \n   - Now, Ram has 30 pens.\n   - He uses 5 pens to make 1 new pen.\n   - He can repeat this process again.\n\n7. **Calculating the Number of New Pens in the Second Cycle**: \n   - For 30 pens, he can make \\( \\frac{30}{5} = 6 \\) new pens.\n\n8. **Total Pens After Second Cycle**: \n   - Initially, he had 30 pens.\n   - After making 6 new pens, the total number of pens is \\( 30 + 6 = 36 \\).\n\n9. **Third Cycle of Making New Pens**: \n   - Now, Ram has 36 pens.\n   - He uses 5 pens to make 1 new pen.\n   - He can repeat this process again.\n\n10. **Calculating the Number of New Pens in the Third Cycle**: \n    - For 36 pens, he can make \\( \\frac{36}{5} = 7 \\) new pens (with 1 pen remaining, which is not enough to make another full pen).\n\n11. **Total Pens After Third Cycle**: \n   ", "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 downloads in the first month.\n   - Therefore, the number of downloads in the second month is \\(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: \\(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 = 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 for Rubies:**\n   Jenna trades 3 sapphires for 2 rubies.\n   - After the trade, she has \\(8 - 3 = 5\\) sapphires.\n   - She gains 2 rubies.\n\n3. **Value of Sapphires:**\n   Each sapphire is worth $800.\n   - The value of her remaining 5 sapphires is \\(5 \\times 800 = 4000\\) dollars.\n\n4. **Value of Rubies:**\n   Each ruby is worth $1200.\n   - The value of her 2 rubies is \\(2 \\times 1200 = 2400\\) dollars.\n\n5. **Total Value of Jewels:**\n   - The total value of her jewels is the sum of the value of the sapphires and the rubies.\n   - Total value = \\(4000 + 2400 = 6400\\) dollars.\n\n#### 6400", "score": 1.0}, {"id": "gsm8k-1087", "gold": "12", "pred_text": "To solve this problem, let's break it down step by step:\n\n1. **Determine the number of bales made by the farmer in one hour:**\n   - The farmer makes 5 bales per hour.\n\n2. **Determine the number of bales picked up by the truck in one hour:**\n   - The truck picks up 3 bales per hour.\n\n3. **Calculate the net increase in the number of bales in the field per hour:**\n   - The net increase is the number of bales made by the farmer minus the number of bales picked up by the truck.\n   - Net increase per hour = 5 bales (made by the farmer) - 3 bales (picked up by the truck) = 2 bales.\n\n4. **Determine the total number of hours worked in a day:**\n   - Both the farmer and the truck driver work for 6 hours each day.\n\n5. **Calculate the total net increase in the number of bales over the 6-hour day:**\n   - Net increase per hour = 2 bales.\n   - Total net increase over 6 hours = 2 bales/hour * 6 hours = 12 bales.\n\n6. **Determine the number of bales left in the field after 6 hours:**\n   - Since the farmer starts with no bales in the field (assuming the field was empty before starting), the number of bales left in the field after 6 hours is the total net increase over the 6-hour day.\n   - Number of bales left = 12 bales.\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. Therefore, the height of the house is:\n   \\[\n   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. Therefore, the height of the first floor is:\n   \\[\n   3 \\times 60 = 180 \\text{ inches}\n   \\]\n\n4. **Height of the second floor**: The total height of the house is 420 inches, and the first floor is 180 inches high. Therefore, the height from the first floor to the second floor is:\n   \\[\n   420 - 180 = 240 \\text{ inches}\n   \\]\n\n5. **Height of the roof from the second floor's floor**: The height from the second floor's floor to the roof is the same as the height of the second floor, which 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 total number of children for one school:**\n   Since each school has 7 rows and each row has 8 children, the total number of children for one school is:\n   \\[\n   7 \\text{ rows} \\times 8 \\text{ children per row} = 56 \\text{ children per school}\n   \\]\n\n4. **Calculate the total number of children for all 5 schools:**\n   There are 5 different schools, and each school has 56 children. Therefore, the total number of children for all schools is:\n   \\[\n   5 \\text{ schools} \\times 56 \\text{ children per school} = 280 \\text{ children}\n   \\]\n\n#### 280", "score": 1.0}, {"id": "gsm8k-953", "gold": "452", "pred_text": "To determine how many minutes Kim slept on her bed that day, we need to calculate the total time she was asleep and then subtract the time she was sleepwalking.\n\n1. **Calculate the usual sleep duration:**\n   - Kim usually goes to sleep at 10 p.m. and wakes up at 6 a.m.\n   - From 10 p.m. to 6 a.m. is 8 hours.\n   - Convert 8 hours to minutes: \\(8 \\times 60 = 480\\) minutes.\n\n2. **Determine the adjusted wake-up time:**\n   - Kim woke up 5 minutes earlier than usual.\n   - Her usual wake-up time is 6 a.m.\n   - Adjusted wake-up time: \\(6:00 \\text{ a.m.} - 5 \\text{ minutes} = 5:55 \\text{ a.m.}\\).\n\n3. **Calculate the time Kim was asleep before she started sleepwalking:**\n   - From 10 p.m. to 5:55 a.m. is 7 hours and 55 minutes.\n   - Convert 7 hours and 55 minutes to minutes: \\(7 \\times 60 + 55 = 420 + 55 = 475\\) minutes.\n\n4. **Subtract the time Kim was sleepwalking:**\n   - Kim was sleepwalking from 2:15 a.m. to 2:38 a.m.\n   - Calculate the duration of sleepwalking: \\(2:38 \\text{ a.m.} - 2:15 \\text{ a.m.} = 23 \\text{ minutes}\\).\n\n5. **Calculate the total sleep duration:**\n   - Subtract the sleepwalking time from the adjusted sleep duration: \\(475 \\text{ minutes} - 23 \\text{ minutes} = 452 \\text{ minutes}\\).\n\n#### 452", "score": 1.0}, {"id": "gsm8k-1019", "gold": "98", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial number of guests:**\n   - The hotel starts with 100 guests.\n\n2. **Early checkouts:**\n   - 24 guests elected for an early checkout.\n   - Number of guests after early checkouts: \\(100 - 24 = 76\\).\n\n3. **Late checkouts:**\n   - 15 guests elected for a late checkout.\n   - Number of guests after late checkouts: \\(76 - 15 = 61\\).\n\n4. **Checkins in the afternoon:**\n   - 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   - Number of guests after afternoon checkins: \\(61 + 30 = 91\\).\n\n5. **Checkins after dinner:**\n   - 7 more people checked in after dinner.\n   - Number of guests after dinner checkins: \\(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. **Initial Amount of Water in the Pool:**\n   - The pool has 10,000 gallons of water.\n\n2. **Amount of Water in the Tank:**\n   - Anthony and his father fill the tank with half the amount of water in the pool.\n   - Half of 10,000 gallons is \\( \\frac{10,000}{2} = 5,000 \\) gallons.\n   - So, the tank is filled with 5,000 gallons of water.\n\n3. **Rate of Water Usage from the Tank:**\n   - The tank is emptied at a rate of 500 gallons per day.\n\n4. **Total Water Usage Over 6 Days:**\n   - If the tank is emptied at 500 gallons per day, over 6 days, the total amount of water used is \\( 500 \\times 6 = 3,000 \\) gallons.\n\n5. **Remaining 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 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 of 100 signatures.\n\n#### 36", "score": 1.0}, {"id": "gsm8k-930", "gold": "14", "pred_text": "To determine the number of bouncy balls 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:**\n   - Building blocks: 31\n   - Stuffed animals: 8\n   - Stacking rings: 9\n   - Bouncy balls: Let's denote this number as \\( x \\).\n\n3. **Set up the equation to find the number of bouncy balls:**\n   The total number of toys is the sum of all individual toys:\n   \\[\n   31 + 8 + 9 + x = 62\n   \\]\n\n4. **Simplify the equation:**\n   Combine the known quantities:\n   \\[\n   48 + x = 62\n   \\]\n\n5. **Solve for \\( x \\):**\n   Subtract 48 from both sides of the equation:\n   \\[\n   x = 62 - 48\n   \\]\n   \\[\n   x = 14\n   \\]\n\nSo, the number of bouncy balls in the tube is 14.\n\n#### 14", "score": 1.0}, {"id": "gsm8k-479", "gold": "15400", "pred_text": "To calculate the total cost of Tom's anniversary getaway, we need to consider the cost of the plane tickets and the hotel stay. Let's break it down step by step.\n\n1. **Cost of Plane Tickets:**\n   - The cost of plane tickets is $5000 each.\n   - Since there are two of them (Tom and his wife), the total cost for the plane tickets is:\n     \\[\n     5000 \\times 2 = 10000\n     \\]\n\n2. **Hotel Cost:**\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\n     \\]\n   - They are staying for 3 days, so the total cost for the hotel stay 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 stay gives the total cost:\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 needed:**\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:**\n   - The neighbors placed 18 pink plastic flamingos in Sue's front yard.\n\n2. **Modification on Saturday:**\n   - On Saturday morning, the neighbors took back one third of the flamingos.\n   - One third of 18 is \\( \\frac{18}{3} = 6 \\).\n   - So, they took back 6 pink flamingos.\n   - The remaining pink flamingos are \\( 18 - 6 = 12 \\).\n   - These 6 pink flamingos were then painted white and placed back in the front yard.\n   - Now, there are 12 pink flamingos and 6 white flamingos.\n\n3. **Additional Placement on Sunday:**\n   - On Sunday morning, the neighbors added another 18 pink plastic flamingos to the collection.\n   - The total number of pink flamingos now is \\( 12 + 18 = 30 \\).\n   - The number of white flamingos remains 6.\n\n4. **Final Comparison:**\n   - We need to find how many more pink flamingos there are than white flamingos.\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 need to follow these 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 is \\(4 \\text{ bags} \\times 50 \\text{ pounds per bag} = 200 \\text{ 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 \\text{ pounds} \\times \\$1.50 \\text{ per pound} = \\$300\\).\n\n#### \\$300", "score": 1.0}, {"id": "gsm8k-1081", "gold": "195", "pred_text": "To find Frankie's score, we need to follow these steps:\n\n1. **Identify Binkie's score**: Binkie's score is given as 90.\n\n2. **Express Frankie's score in terms of Binkie's score**: According to the problem, Frankie's score is 15 more than twice Binkie's score. We can write this as:\n   \\[\n   \\text{Frankie's score} = 2 \\times \\text{Binkie's score} + 15\n   \\]\n\n3. **Substitute Binkie's score into the equation**: Since Binkie's score is 90, we substitute 90 for Binkie's score:\n   \\[\n   \\text{Frankie's score} = 2 \\times 90 + 15\n   \\]\n\n4. **Calculate the expression**: 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**: 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 from Father**: Her father gives her $100.\n3. **Total Before Purchases**: Adding the initial amount and the money from her father, we get:\n   \\[\n   40 + 100 = 140\n   \\]\n4. **Cost of Jeans**: She buys two pairs of jeans at $30 each. The total cost for the jeans is:\n   \\[\n   2 \\times 30 = 60\n   \\]\n5. **Cost of Bag**: She also buys a bag for $20.\n6. **Total Cost of Purchases**: Adding the cost of the jeans and the bag, we get:\n   \\[\n   60 + 20 = 80\n   \\]\n7. **Money Left**: Subtracting the total cost of purchases from the total amount of money she had before making the purchases, we get:\n   \\[\n   140 - 80 = 60\n   \\]\n\n#### 60", "score": 1.0}, {"id": "gsm8k-197", "gold": "6277", "pred_text": "To find out how many children live in the city of Soda, we need to subtract the number of men and women from the total population. Here's the step-by-step reasoning:\n\n1. **Total Population**: The city of Soda has 23,786 inhabitants.\n2. **Number of Men**: There are 8,417 men.\n3. **Number of Women**: There are 9,092 women.\n\nTo find the number of children, we subtract the number of men and women from the total population:\n\n\\[ \\text{Number of Children} = \\text{Total Population} - (\\text{Number of Men} + \\text{Number of Women}) \\]\n\nSubstituting the given values:\n\n\\[ \\text{Number of Children} = 23,786 - (8,417 + 9,092) \\]\n\nFirst, add the number of men and women:\n\n\\[ 8,417 + 9,092 = 17,509 \\]\n\nNow, subtract this sum from the total population:\n\n\\[ 23,786 - 17,509 = 6,277 \\]\n\nSo, the number of children in Soda is 6,277.\n\n#### 6277", "score": 1.0}, {"id": "gsm8k-25", "gold": "2", "pred_text": "Let's break down the problem step by step.\n\n1. **Calculate the cost of the chicken meal:**\n   - Chicken meal: $12\n\n2. **Calculate the cost of the milk:**\n   - Milk packs: 5 packs × $3 each = $15\n\n3. **Calculate the cost of the apples:**\n   - Apples: 4 apples × $1.50 each = $6\n\n4. **Calculate the total cost of the chicken meal, milk, and apples:**\n   - Total cost of meal, milk, and apples = $12 + $15 + $6 = $33\n\n5. **Determine the remaining amount after buying the meal, milk, and apples:**\n   - Total amount paid: $50\n   - Remaining amount = $50 - $33 = $17\n\n6. **Calculate the number of boxes of pizza Marie ordered:**\n   - Let \\( x \\) be the number of boxes of pizza.\n   - Each box of pizza costs $8.50.\n   - The equation for the remaining amount is: \\( 8.50x = 17 \\)\n\n7. **Solve for \\( x \\):**\n   \\[\n   x = \\frac{17}{8.50} = 2\n   \\]\n\nSo, Marie ordered 2 boxes of pizza.\n\n#### 2", "score": 1.0}, {"id": "gsm8k-534", "gold": "300", "pred_text": "Let's break down the problem step by step.\n\n1. **Total number of kids and their division into groups:**\n   - There are 20 kids in total.\n   - They are divided into two equal groups of girls and boys.\n   - Therefore, each group has \\( \\frac{20}{2} = 10 \\) kids.\n\n2. **Shells brought by the boys:**\n   - Each boy brought back 60 shells.\n   - Since there are 10 boys, the total number of shells brought by the boys is \\( 10 \\times 60 = 600 \\) shells.\n\n3. **Shells brought by the girls:**\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 \\( x \\) be the number of shells each girl brought.\n   - According to the problem, each girl brought \\( 60 + 4 \\times 60 \\) shells.\n   - Simplifying the expression: \\( 60 + 4 \\times 60 = 60 + 240 = 300 \\) shells.\n\n4. **Total number of shells brought by the girls:**\n   - Since there are 10 girls, the total number of shells brought by the girls is \\( 10 \\times 300 = 3000 \\) shells.\n\n5. **Shells brought by each girl:**\n   - Each girl brought 300 shells.\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 the number of gallons, 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\n#### 15", "score": 1.0}, {"id": "gsm8k-707", "gold": "8", "pred_text": "To determine what percent of the river's total water is used by Colorado City for non-industrial purposes, we need to follow these steps:\n\n1. **Calculate the total water used by Colorado City:**\n   Colorado City uses 40% of the water from the Colorado River. So, the total water used by the city is:\n   \\[\n   40\\% \\text{ of the river's total water}\n   \\]\n\n2. **Calculate the water used for industrial purposes:**\n   80% of the water used by Colorado City is for industrial purposes. Therefore, the water used for industrial purposes is:\n   \\[\n   80\\% \\text{ of } 40\\% = 0.80 \\times 40\\% = 32\\%\n   \\]\n   So, 32% of the river's total water is used for industrial purposes.\n\n3. **Calculate the water used for non-industrial purposes:**\n   The remaining water used by Colorado City is for non-industrial purposes. This can be found by subtracting the industrial water usage from the total water usage:\n   \\[\n   40\\% - 32\\% = 8\\%\n   \\]\n   Therefore, 8% of the river's total water is used by Colorado City for non-industrial purposes.\n\n#### 8%", "score": 1.0}, {"id": "gsm8k-887", "gold": "34", "pred_text": "Let's break down the problem step by step:\n\n1. **Birds nesting in the bushes:**\n   Jerry counts 6 birds nesting in the bushes.\n\n2. **Birds flying overhead:**\n   The number of birds flying overhead is \\( \\frac{2}{3} \\) of the number of birds nesting in the bushes. We calculate this as:\n   \\[\n   \\frac{2}{3} \\times 6 = 4\n   \\]\n   So, 4 birds are flying overhead.\n\n3. **Birds feeding in groups:**\n   Jerry counts 3 groups of 8 birds each feeding. We calculate the total number of birds in these groups as:\n   \\[\n   3 \\times 8 = 24\n   \\]\n   So, 24 birds are feeding in groups.\n\n4. **Total number of birds:**\n   To find the total number of birds Jerry counts, we add the number of birds in each category:\n   \\[\n   6 \\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 has 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 has 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 the Sister Steals One Palette:**\n   - Amy loses one palette with 4 colors.\n     \\[\n     26 \\text{ colors} - 4 \\text{ colors} = 22 \\text{ colors}\n     \\]\n\n3. **After Using Up Half of the Colors from One Makeup Set:**\n   - One makeup set has 6 colors.\n     \\[\n     \\frac{6 \\text{ colors}}{2} = 3 \\text{ colors used}\n     \\]\n   - Therefore, Amy loses 3 colors from one set.\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 has collected and how many more they need to reach the threshold of 400 points.\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 \\text{ points}\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 \\text{ points}\n   \\]\n\n4. **Martha's Points:**\n   Martha managed to collect 3 times more points than Tom. So, we calculate:\n   \\[\n   \\text{Martha's points} = 3 \\times 35 = 105 \\text{ points}\n   \\]\n\n5. **Total Points Collected:**\n   Now, we sum up all the points collected by Adam, Betty, Martha, and Tom:\n   \\[\n   \\text{Total points} = 50 + 65 + 105 + 35 = 255 \\text{ points}\n   \\]\n\n6. **Points Needed for the Trip:**\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 \\text{ points}\n   \\]\n\n#### 145", "score": 1.0}, {"id": "gsm8k-962", "gold": "1000", "pred_text": "To determine the total cost of Jen's travel, we need to follow these steps:\n\n1. **Calculate the cost of the 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. To find 50% of the supplies cost:\n   \\[\n   50\\% \\text{ of } 400 = 0.50 \\times 400 = 200\n   \\]\n   Therefore, the tickets cost:\n   \\[\n   400 + 200 = 600\n   \\]\n\n3. **Calculate the total cost of travel:**\n   The total cost of travel is the sum of the cost of the supplies and the cost of the tickets:\n   \\[\n   400 + 600 = 1000\n   \\]\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:**\n   - Ali has four $10 bills, so the total from the $10 bills is \\(4 \\times 10 = 40\\) dollars.\n   - Ali has six $20 bills, so the total 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, so he gives \\( \\frac{160}{2} = 80 \\) dollars.\n   - After giving this amount to his sister, Ali has \\(160 - 80 = 80\\) dollars left.\n\n3. **Calculate the amount of money Ali uses to buy dinner:**\n   - Ali uses \\(\\frac{3}{5}\\) of the remaining amount to buy dinner. The remaining amount is $80.\n   - The amount used for dinner is \\( \\frac{3}{5} \\times 80 = \\frac{3 \\times 80}{5} = \\frac{240}{5} = 48 \\) dollars.\n   - After buying dinner, the amount of money Ali has left is \\(80 - 48 = 32\\) dollars.\n\nTherefore, the amount of money Ali has after buying the dinner is **32** dollars.\n\n#### 32", "score": 1.0}, {"id": "gsm8k-386", "gold": "80", "pred_text": "To determine Wilson's current math grade, we need to calculate the average of his five 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 break it down:\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 break down the problem step by step.\n\n1. **Define Variables:**\n   - Let \\( J \\) represent the number of balls Jason carried.\n   - Let \\( D \\) represent the number of balls Jeffrey carried.\n   - Let \\( R \\) represent the number of balls Jordan carried.\n\n2. **Establish Relationships:**\n   - According to the problem, Jordan carried twice as many balls as Jason. So, \\( R = 2J \\).\n   - Jason carried twice as many balls as Jeffrey. So, \\( J = 2D \\).\n\n3. **Substitute Jason's Carried Balls:**\n   - Since \\( J = 2D \\), we can substitute \\( J \\) in the equation for Jordan's carried balls:\n     \\[\n     R = 2J = 2(2D) = 4D\n     \\]\n\n4. **Total Balls Carried:**\n   - The total number of balls carried by the three boys is the sum of the balls each carried:\n     \\[\n     R + J + D = 4D + 2D + D = 7D\n     \\]\n\n5. **Given Information:**\n   - The problem states that Jason had picked up and carried 2 balls. Therefore, \\( J = 2 \\).\n\n6. **Calculate Jeffrey's and Jordan's Carried Balls:**\n   - Since \\( J = 2D \\), and \\( J = 2 \\):\n     \\[\n     2 = 2D \\implies D = 1\n     \\]\n   - Now, calculate Jordan's carried balls:\n     \\[\n     R = 4D = 4 \\times 1 = 4\n     \\]\n\n7. **Total Number of Balls:**\n   - Sum the balls carried by each boy:\n     \\[\n     R + J + D = 4 + 2 + 1 = 7\n     \\]\n\n8. **Final Answer:**\n   - The total number of balls that the coach brought to practice is:\n     \\[\n     \\boxed{7}\n     \\]\n\n#### 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": "To determine how many cups of water Crista needs every day for her plants, we can break down the problem into smaller steps.\n\n1. **Calculate the water needed for the 4 plants that need half a cup each:**\n   - Each of these 4 plants needs 0.5 cups of water.\n   - Total water for these 4 plants: \\(4 \\times 0.5 = 2\\) cups.\n\n2. **Calculate the water needed for the 8 plants that need 1 cup each:**\n   - Each of these 8 plants needs 1 cup of water.\n   - Total water for these 8 plants: \\(8 \\times 1 = 8\\) cups.\n\n3. **Determine the number of plants that need a quarter of a cup each:**\n   - Crista has 20 plants in total.\n   - 4 plants need half a cup, and 8 plants need 1 cup.\n   - Therefore, the number of plants that need a quarter of a cup: \\(20 - 4 - 8 = 8\\) plants.\n\n4. **Calculate the water needed for the 8 plants that need a quarter of a cup each:**\n   - Each of these 8 plants needs 0.25 cups of water.\n   - Total water for these 8 plants: \\(8 \\times 0.25 = 2\\) cups.\n\n5. **Sum up the total water needed for all the plants:**\n   - Water for the 4 plants needing half a cup: 2 cups.\n   - Water for the 8 plants needing 1 cup: 8 cups.\n   - Water for the 8 plants needing a quarter of a cup: 2 cups.\n   - Total water needed: \\(2 + 8 + 2 = 12\\) cups.\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   - Greg wants each of the 30 kids to have 4 jello cups.\n   - Total jello cups needed = 30 kids * 4 cups per kid = 120 jello cups.\n\n2. **Determine how many three-ounce boxes of jello are needed:**\n   - One three-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 of the jello:**\n   - Each three-ounce box is on sale for $1.25.\n   - Total cost = Number of boxes needed * 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 need 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 bottle of juice 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 \\( \\frac{100\\%}{20\\%} = 5 \\) bottles of juice per person.\n\n2. **Calculate the total number of bottles needed for 2300 people:**\n   - For 2300 people, the total number of bottles needed is \\( 2300 \\times 5 = 11500 \\) bottles.\n\n3. **Determine how many bottles Hortex currently produces daily:**\n   - Hortex produces 4200 bottles of juice per day.\n\n4. **Calculate the additional number of bottles needed:**\n   - The additional number of bottles needed 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 will follow these steps:\n\n1. **Calculate the total number of spaces in the shelving system:**\n   - The 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": "To determine Linus's profit, we need to follow these steps:\n\n1. **Calculate the selling price of one mobile device:**\n   - Linus buys a mobile device for $20.\n   - He sells it for twice 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 the devices bought last Monday is \\(2 \\times 20 = 40\\) dollars.\n\n3. **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 the devices bought last Tuesday is \\(4 \\times 20 = 80\\) dollars.\n\n4. **Calculate the total cost of all devices bought:**\n   - The total cost for all devices is the sum of the costs from both days.\n   - Therefore, the total cost is \\(40 + 80 = 120\\) dollars.\n\n5. **Calculate the total revenue from selling all devices:**\n   - Linus sold all 6 devices at $40 each.\n   - Therefore, the total revenue is \\(6 \\times 40 = 240\\) dollars.\n\n6. **Calculate the profit:**\n   - Profit is calculated as total revenue minus total cost.\n   - Therefore, the profit is \\(240 - 120 = 120\\) dollars.\n\n#### 120", "score": 1.0}, {"id": "gsm8k-515", "gold": "160", "pred_text": "To determine Tara's profit, we need to follow these steps:\n\n1. **Calculate the total cost of the canvas bags:**\n   - Tara bought 8 packs of 5 canvas bags each.\n   - The cost per pack is $4.\n   - Therefore, the total cost is \\(8 \\text{ packs} \\times \\$4 \\text{ per pack} = \\$32\\).\n\n2. **Calculate the total revenue from selling the canvas bags:**\n   - Tara sold each canvas bag for $8.\n   - The total number of canvas bags is \\(8 \\text{ packs} \\times 5 \\text{ bags per pack} = 40 \\text{ bags}\\).\n   - Therefore, the total revenue is \\(40 \\text{ bags} \\times \\$8 \\text{ per bag} = \\$320\\).\n\n3. **Calculate the profit:**\n   - Profit is calculated as total revenue minus total cost.\n   - Therefore, the profit is \\(\\$320 - \\$32 = \\$288\\).\n\n#### 288", "score": 0.0}, {"id": "gsm8k-222", "gold": "140", "pred_text": "To determine the total number of flowers Andy plants, we need to follow these steps:\n\n1. **Identify the number of geraniums planted:**\n   Andy plants 90 geraniums.\n\n2. **Calculate the number of petunias planted:**\n   Andy plants 40 fewer petunias than geraniums. Therefore, we subtract 40 from the number of geraniums:\n   \\[\n   90 - 40 = 50\n   \\]\n   So, Andy plants 50 petunias.\n\n3. **Calculate the total number of flowers:**\n   To find the total number of flowers, we add the number of geraniums and petunias together:\n   \\[\n   90 + 50 = 140\n   \\]\n\nThus, the total number of flowers Andy plants is 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 square foot bathroom, we can follow these steps:\n\n1. **Calculate the area to be covered:**\n   - Mr. Boarden's bathroom is 36 square feet.\n   - He wants to cover two thirds of this area.\n   - Two thirds of 36 square feet is calculated as:\n     \\[\n     \\frac{2}{3} \\times 36 = 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 he needs 24 tiles per square foot and he is covering 24 square feet, the total number of tiles is:\n     \\[\n     24 \\text{ tiles/sq ft} \\times 24 \\text{ sq ft} = 576 \\text{ tiles}\n     \\]\n\nTherefore, Mr. Boarden would need 576 mosaic tiles to cover two thirds of his 36 square foot bathroom.\n\n#### 576", "score": 1.0}, {"id": "gsm8k-1049", "gold": "20", "pred_text": "To determine the number of Spanish books in the library, we need to 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:\n     \\[\n     \\frac{50}{2} = 25\n     \\]\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:\n     \\[\n     0.10 \\times 50 = 5\n     \\]\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 remaining books are written in Spanish.\n   - Therefore, the number of Spanish books is:\n     \\[\n     50 - 25 - 5 = 20\n     \\]\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 follow the given ratios step by step.\n\n1. **Determine the number of customers needed to buy 15 cars:**\n   - For every 2 customers that come into the dealership, 1 buys 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. **Changes in the Number of Cannolis:**\n   - Allan bought 60 more cannolis at the store.\n   - Therefore, the new total number of cannolis is \\(40 + 60 = 100\\) cannolis.\n\n4. **Changes in the Number of Corns:**\n   - Allan bought 40 fewer corns than the number of cannolis he bought.\n   - Since he bought 60 more cannolis, he bought \\(60 - 40 = 20\\) fewer corns.\n   - Therefore, the new total number of corns is \\(80 - 20 = 60\\) corns.\n\n5. **Combined Total of Corns and Cannolis:**\n   - The new total number of cannolis is 100.\n   - The new total number of corns is 60.\n   - Therefore, the combined total is \\(100 + 60 = 160\\).\n\n#### 160", "score": 0.0}, {"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.\n   - Therefore, Ahmed read \\( \\frac{300}{2} = 150 \\) books.\n\n2. **Calculate the total number of books Ezra read:**\n   - Ezra initially read 300 books and decided to read 150 more.\n   - So, the total number of books Ezra read is \\( 300 + 150 = 450 \\) books.\n\n3. **Calculate the total number of books both read:**\n   - Ahmed read 150 books.\n   - Ezra read 450 books.\n   - Therefore, the total number of books they read together is \\( 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**: Mary buys the first bag with 300 M&Ms.\n   - Number of M&Ms in the first bag = 300\n\n2. **Second Bag**: The second bag has 12 more M&Ms than the first bag.\n   - Number of M&Ms in the second bag = 300 + 12 = 312\n\n3. **Third Bag**: The third bag has a hole in it, so it only has half the number of M&Ms that the first bag had.\n   - Number of M&Ms in the third bag = 300 / 2 = 150\n\n4. **Total M&Ms**: To find the total number of M&Ms, we add the M&Ms from all three bags.\n   - Total M&Ms = 300 (first bag) + 312 (second bag) + 150 (third bag)\n\nNow, let's perform the addition:\n\n\\[ 300 + 312 + 150 = 762 \\]\n\nSo, the total number of M&Ms Mary gets 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**: The bakery produces 60 loaves of bread each day.\n\n2. **Morning Sales**: Two-thirds of the loaves are sold in the morning.\n   - Calculate two-thirds of 60:\n   \\[\n   \\frac{2}{3} \\times 60 = 40\n   \\]\n   So, 40 loaves are sold in the morning.\n\n3. **Loaves Left After Morning Sales**: Subtract the morning sales from the total loaves produced.\n   \\[\n   60 - 40 = 20\n   \\]\n   So, 20 loaves are left after the morning sales.\n\n4. **Afternoon and Evening Sales**: Half of what is left is sold equally in the afternoon and evening.\n   - Calculate half of the remaining 20 loaves:\n   \\[\n   \\frac{1}{2} \\times 20 = 10\n   \\]\n   So, 10 loaves are sold in total between the afternoon and evening.\n\n5. **Afternoon Sales**: Since the 10 loaves are sold equally in the afternoon and evening, the number of loaves sold in the afternoon is:\n   \\[\n   \\frac{10}{2} = 5\n   \\]\n\n#### 5", "score": 0.0}, {"id": "gsm8k-226", "gold": "33", "pred_text": "Let's start by calculating the new total number of cards James has after losing some water type cards and buying more grass type cards.\n\n1. **Initial counts:**\n   - Fire type: 30\n   - Grass type: 20\n   - Water type: 40\n\n2. **Changes:**\n   - Loses 8 water type cards: \\(40 - 8 = 32\\) water type cards\n   - Buys 14 more grass type cards: \\(20 + 14 = 34\\) grass type cards\n\n3. **New total number of cards:**\n   - Fire type: 30\n   - Grass type: 34\n   - Water type: 32\n   - Total: \\(30 + 34 + 32 = 96\\) cards\n\n4. **Probability of picking a water type card:**\n   - Probability = (Number of water type cards) / (Total number of cards)\n   - Probability = \\(32 / 96\\)\n\n5. **Simplify the fraction:**\n   - \\(32 / 96 = 1 / 3\\)\n\n6. **Convert the fraction to a percentage:**\n   - \\(1 / 3 \\approx 0.3333\\)\n   - \\(0.3333 \\times 100 = 33.33\\%\\)\n\n7. **Round to the nearest integer:**\n   - \\(33.33\\% \\approx 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 daily protein intake:**\n   - John eats 200 grams of mushrooms every day.\n   - Using the protein content per gram, the daily protein intake is \\( 200 \\text{ grams of mushrooms} \\times 0.03 \\text{ grams of protein per gram of mushrooms} = 6 \\text{ grams of protein per day} \\).\n\n3. **Calculate the weekly protein intake:**\n   - There are 7 days in a week.\n   - Therefore, the weekly protein intake is \\( 6 \\text{ grams of protein per day} \\times 7 \\text{ days} = 42 \\text{ grams of protein per week} \\).\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 process 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} = \\frac{90 \\text{ shrimp}}{6 \\text{ shrimp per minute}} = 15 \\text{ minutes}\n     \\]\n\n2. **Sautéing Shrimp:**\n   - Emily can sauté 30 shrimp in 10 minutes.\n   - To find out how long it takes to sauté 90 shrimp, we first determine the rate of sautering:\n     \\[\n     \\text{Rate of sautering} = \\frac{30 \\text{ shrimp}}{10 \\text{ minutes}} = 3 \\text{ shrimp per minute}\n     \\]\n   - Now, we calculate the time required to sauté 90 shrimp:\n     \\[\n     \\text{Time to sauté} = \\frac{90 \\text{ shrimp}}{3 \\text{ shrimp per minute}} = 30 \\text{ minutes}\n     \\]\n\n3. **Total Time:**\n   - The total time to complete both tasks (peeling and sautering) is the sum of the individual times:\n     \\[\n     \\text{Total time} = 15 \\text{ minutes (peeling)} + 30 \\text{ minutes (sautéing)} = 45 \\text{ minutes}\n     \\]\n\n#### 45", "score": 1.0}, {"id": "gsm8k-575", "gold": "36", "pred_text": "To determine how much money Kate can make, we need to follow these steps:\n\n1. **Calculate the total number of crayons:**\n   - Each box contains 64 crayons.\n   - Kate has 3 boxes.\n   - Total crayons = \\(3 \\times 64 = 192\\) crayons.\n\n2. **Determine how many crayon muffins Kate can make:**\n   - Each muffin requires 8 small pieces of crayons.\n   - Total crayons available = 192.\n   - Number of muffins = \\(\\frac{192}{8} = 24\\) muffins.\n\n3. **Calculate the total revenue from selling the crayon muffins:**\n   - Each muffin is sold for $1.50.\n   - Total revenue = \\(24 \\times 1.50 = 36\\) dollars.\n\n#### 36", "score": 1.0}, {"id": "gsm8k-281", "gold": "2450", "pred_text": "To solve this problem, let's break it down 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   - Cayley earns a 10% commission on each copy of the New York Times.\n   - Each copy of the New York Times costs $5.\n   - He sells 6 copies of the New York Times.\n   - The commission per copy of the New York Times is \\(10\\% \\times \\$5 = 0.10 \\times \\$5 = \\$0.50\\).\n   - The total commission from the New York Times is \\(6 \\times \\$0.50 = \\$3.00\\).\n\n2. **Calculate the commission from the Wall Street Journal:**\n   - Cayley earns an 8% commission on each copy of the Wall Street Journal.\n   - Each copy of the Wall Street Journal costs $15.\n   - He sells 10 copies of the Wall Street Journal.\n   - The commission per copy of the Wall Street Journal is \\(8\\% \\times \\$15 = 0.08 \\times \\$15 = \\$1.20\\).\n   - The total commission from the Wall Street Journal is \\(10 \\times \\$1.20 = \\$12.00\\).\n\n3. **Calculate the total commission:**\n   - The total commission is the sum of the commission from the New York Times and 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. **Vacuum Cleaners 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:\n   \\[\n   x - \\frac{x}{3} = \\frac{2x}{3}\n   \\]\n\n3. **Vacuum Cleaners 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:\n   \\[\n   \\frac{2x}{3} - 2\n   \\]\n\n4. **Vacuum Cleaners Sold at the Orange House:**\n   Melanie sold half of what was left at the orange house. So, she sold:\n   \\[\n   \\frac{1}{2} \\left( \\frac{2x}{3} - 2 \\right) = \\frac{2x}{6} - 1 = \\frac{x}{3} - 1\n   \\]\n   After selling at the orange house, the number of vacuum cleaners left is:\n   \\[\n   \\left( \\frac{2x}{3} - 2 \\right) - \\left( \\frac{x}{3} - 1 \\right) = \\frac{2x}{3} - 2 - \\frac{x}{3} + 1 = \\frac{x}{3} - 1\n   \\]\n\n5. **Vacuum Cleaners Left:**\n   According to the problem, Melanie has 5 vacuum cleaners left. So, we set up the equation:\n   \\[\n   \\frac{x}{3} - 1 = 5\n   \\]\n\n6. **Solving for \\( x \\):**\n   \\[\n   \\frac{x}{3} - 1 = 5\n   \\]\n   Add 1 to both sides:\n   \\[\n   \\frac{x}{3} = 6\n   \\]\n   Multiply both sides by 3:\n   \\[\n   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 bounces to \\(\\frac{2}{3}\\) of its height after the first bounce.\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": "To determine how much John needs to spend on hot dogs, 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\\) hot dogs.\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\\) hot dogs.\n\n4. **Determine how many packs of hot dogs John needs to buy:**\n   - Each pack contains 6 hot dogs.\n   - Therefore, the number of packs needed is \\(\\frac{36}{6} = 6\\) packs.\n\n5. **Calculate the total cost of the hot dogs:**\n   - Each pack costs $2.\n   - Therefore, the total cost is \\(6 \\times 2 = 12\\) dollars.\n\n#### 12", "score": 1.0}, {"id": "gsm8k-1218", "gold": "225", "pred_text": "To determine how long it will take for all students 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 grade from 4th to 7th.\n   - There are 4 grades.\n   - Therefore, the total number of students is \\(10 \\times 4 = 40\\).\n\n2. **Determine how many groups of students can try the escape room at a time:**\n   - Only 8 students can try the escape room at a time.\n\n3. **Calculate the number of groups needed:**\n   - To find the number of groups, divide the total number of students by the number of students per group.\n   - Therefore, the number of groups is \\(40 \\div 8 = 5\\).\n\n4. **Determine the total time required for all groups to try the escape room:**\n   - Each group has 45 minutes to try the escape room.\n   - Since all groups use their full 45 minutes, the total time required is the number of groups multiplied by the time per group.\n   - Therefore, the total time is \\(5 \\times 45 = 225\\) minutes.\n\n#### 225", "score": 1.0}, {"id": "gsm8k-1279", "gold": "180", "pred_text": "To determine how much Avery will spend on place settings, we need to calculate the cost for each type of plate and bowl and then sum these costs.\n\n1. **Calculate the cost for the dinner plates:**\n   - Each dinner plate costs $6.00.\n   - Avery needs 12 dinner plates (one for each person).\n   - Total cost for dinner plates = 12 plates × $6.00/plate = $72.00.\n\n2. **Calculate the cost for the salad plates:**\n   - Each salad plate costs $4.00.\n   - Avery needs 12 salad plates (one for each person).\n   - Total cost for salad plates = 12 plates × $4.00/plate = $48.00.\n\n3. **Calculate the cost for the bowls:**\n   - Each bowl costs $5.00.\n   - Avery needs 12 bowls (one for each person).\n   - Total cost for bowls = 12 bowls × $5.00/bowl = $60.00.\n\n4. **Calculate the total cost for all place settings:**\n   - Total cost = Cost for dinner plates + Cost for salad plates + Cost for bowls\n   - Total cost = $72.00 + $48.00 + $60.00 = $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\nLet's start with step 1:\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, we get:\n\\[ 96 \\text{ inches} + 4 \\text{ inches} = 100 \\text{ inches} \\]\n\nSo, Topher's shoe length is 100 inches.\n\nNext, we move to step 2:\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\nNow, we solve this equation for \\( x \\):\n\n1. Subtract 10 from both sides of the equation:\n\\[ 100 - 10 = 9x \\]\n\\[ 90 = 9x \\]\n\n2. Divide both sides by 9:\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": "To calculate the total cost of 2 years of the streaming service, we need to break down the cost into the different pricing periods and then sum them up.\n\n1. **First 6 months at $8 a month:**\n   - Cost for 6 months = 6 months * $8/month = $48\n\n2. **Next 8 months at $12 a month:**\n   - Cost for 8 months = 8 months * $12/month = $96\n\n3. **Remaining 10 months at $14 a month:**\n   - Total months in 2 years = 24 months\n   - Months already accounted for = 6 months + 8 months = 14 months\n   - Remaining months = 24 months - 14 months = 10 months\n   - Cost for 10 months = 10 months * $14/month = $140\n\n4. **Total cost for 2 years:**\n   - Sum of all costs = $48 + $96 + $140 = $284\n\n#### 284", "score": 1.0}, {"id": "gsm8k-667", "gold": "53", "pred_text": "To determine the total duration of Sarah’s basketball game, we need to break down the game into its components and then sum them up.\n\n1. **Calculate the duration 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   - Total duration for the first three quarters: \\(3 \\times 12 = 36\\) minutes.\n\n2. **Calculate the duration 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   - Total duration for the last quarter: \\(12 + 5 = 17\\) minutes.\n\n3. **Sum the durations of all quarters:**\n   - Duration of the first three quarters: 36 minutes.\n   - Duration of the last quarter: 17 minutes.\n   - Total duration of the game: \\(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:\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 total reading time and then convert that into pages read.\n\n**Step 1: Calculate the total reading time in the first week.**\n- Judy reads for 15 minutes each night.\n- There are 7 nights in a week.\n- Total reading time in the first week = 15 minutes/night * 7 nights = 105 minutes.\n\n**Step 2: Calculate the reading speed in pages per minute.**\n- Judy reads 2 pages in 1.5 minutes.\n- To find the reading speed in pages per minute, we divide the number of pages by the number of minutes: \\( \\frac{2 \\text{ pages}}{1.5 \\text{ minutes}} = \\frac{2}{1.5} = \\frac{4}{3} \\text{ pages per minute} \\).\n\n**Step 3: Calculate the total number of pages read in the first week.**\n- Total reading time in the first week = 105 minutes.\n- Reading speed = \\( \\frac{4}{3} \\text{ pages per minute} \\).\n- Total pages read in the first week = 105 minutes * \\( \\frac{4}{3} \\text{ pages per minute} \\) = 105 * \\( \\frac{4}{3} \\) = 140 pages.\n\n**Step 4: Calculate the total number of pages read in the second week.**\n- According to the problem, Judy read a total of 100 pages in the second week.\n\n**Step 5: Calculate the total number of pages read in two weeks.**\n- Total pages read in the first week = 140 pages.\n- Total pages read in the second week = 100 pages.\n- Total pages read in two weeks = 140 pages + 100 pages = 240 pages.\n\n#### 240", "score": 1.0}, {"id": "gsm8k-202", "gold": "100", "pred_text": "To determine how many barrels of wine Josie's farm produces per year, we need to follow these steps:\n\n1. **Calculate the total tons of grapes produced per year:**\n   - Each acre produces 5 tons of grapes.\n   - Josie has 10 acres.\n   - Therefore, the total tons of grapes produced per year is:\n     \\[\n     10 \\text{ acres} \\times 5 \\text{ tons/acre} = 50 \\text{ tons}\n     \\]\n\n2. **Calculate the total barrels of wine produced per year:**\n   - Each ton of grapes makes 2 barrels of wine.\n   - Josie's farm produces 50 tons of grapes.\n   - Therefore, the total barrels of wine produced per year is:\n     \\[\n     50 \\text{ tons} \\times 2 \\text{ barrels/ton} = 100 \\text{ barrels}\n     \\]\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 given information:**\n   - Richie scored 80 goals.\n   - Richie scored 20 more goals than Mark.\n   - Richie scored 45 more goals than Anna.\n\n2. **Express the goals scored by Mark and Anna in terms of Richie's goals:**\n   - Since Richie scored 20 more goals than Mark, we can write:\n     \\[\n     \\text{Mark's goals} = \\text{Richie's goals} - 20 = 80 - 20 = 60\n     \\]\n   - Since Richie scored 45 more goals than Anna, we can write:\n     \\[\n     \\text{Anna's goals} = \\text{Richie's goals} - 45 = 80 - 45 = 35\n     \\]\n\n3. **Calculate the total goals scored by all three teenagers:**\n   - Add the goals scored by Richie, Mark, and Anna:\n     \\[\n     \\text{Total goals} = \\text{Richie's goals} + \\text{Mark's goals} + \\text{Anna's goals} = 80 + 60 + 35\n     \\]\n\n4. **Perform the addition:**\n   \\[\n   80 + 60 + 35 = 175\n   \\]\n\n#### 175", "score": 1.0}, {"id": "gsm8k-1024", "gold": "300", "pred_text": "To determine how much money Suzanne has left from her earnings, we need to follow these steps:\n\n1. **Calculate the total earnings from cookies:**\n   - Suzanne sold 80 cookies at $1 each.\n   - Total earnings from cookies = \\( 80 \\times 1 = 80 \\) dollars.\n\n2. **Calculate the total earnings from cupcakes:**\n   - Suzanne sold 60 cupcakes at $4 each.\n   - Total earnings from cupcakes = \\( 60 \\times 4 = 240 \\) dollars.\n\n3. **Calculate the total earnings:**\n   - Total earnings = Earnings from cookies + Earnings from cupcakes\n   - Total earnings = \\( 80 + 240 = 320 \\) dollars.\n\n4. **Calculate the total amount given to her sisters:**\n   - Suzanne gave each of her two sisters $10.\n   - Total amount given to sisters = \\( 2 \\times 10 = 20 \\) dollars.\n\n5. **Calculate the remaining money:**\n   - Remaining money = Total earnings - Total amount given to sisters\n   - Remaining money = \\( 320 - 20 = 300 \\) dollars.\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. **Brownies made for herself:**\n   - Greta made 1 dozen cream cheese swirl brownies.\n   - 1 dozen = 12 brownies.\n\n2. **Brownies received from her office:**\n   - Her office gave her 1/2 a dozen brownies.\n   - 1/2 dozen = 6 brownies.\n\n3. **Brownies received from her friends:**\n   - Her friends had 4 dozen brownies waiting.\n   - 4 dozen = 48 brownies.\n\n4. **Total brownies before the party:**\n   - Sum of all brownies: 12 (from herself) + 6 (from office) + 48 (from friends) = 66 brownies.\n\n5. **Brownies eaten during the party:**\n   - 1 1/2 dozen brownies were eaten.\n   - 1 1/2 dozen = 1.5 dozen = 1.5 × 12 = 18 brownies.\n\n6. **Brownies left after the party:**\n   - Subtract the eaten brownies from the 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 in three weeks, we can follow these steps:\n\n1. **Calculate the total number of days Jason has to walk:**\n   - Jason can walk 4 days a week.\n   - He has 3 weeks to break in the shoes.\n   - Total days = 4 days/week * 3 weeks = 12 days.\n\n2. **Calculate the total walking time needed:**\n   - It takes 240 minutes of walking to break in the shoes.\n\n3. **Determine the daily walking time:**\n   - Total walking time needed = 240 minutes.\n   - Total days = 12 days.\n   - Daily walking time = Total walking time / Total days = 240 minutes / 12 days = 20 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.\n2. **Selling Old Bedroom Set**: Tom sells his old bedroom set for $1000. This reduces the amount he needs to pay for the new bedroom set.\n3. **Amount to be Paid for New Bedroom Set**: After selling his old bedroom set, the amount Tom needs to pay for the new bedroom set is:\n   \\[\n   3000 - 1000 = 2000\n   \\]\n4. **Monthly Interest Rate**: Tom has to pay 10% interest per month on the remaining amount.\n5. **Monthly Payment Calculation**: To find the monthly payment, we need to calculate 10% of the remaining $2000.\n   \\[\n   10\\% \\text{ of } 2000 = 0.10 \\times 2000 = 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 that the price of a gold jewel is \\(\\frac{4}{5}\\) times the price of a diamond jewel.\n   - The price of a diamond jewel is $2000.\n   - Therefore, the price of a 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   - The price of a gold jewel is $1600.\n   - Therefore, the price of a 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 price of a diamond jewel is $2000.\n   - The price of a gold jewel is $1600.\n   - The price of a silver jewel is $1200.\n   - Therefore, the total price for all three jewels 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. **Cost of 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. **Cost of 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 Bond Paper:**\n   - Raphael bought 1 rim of bond paper.\n   - The bond paper costs $20.\n   - Total cost for bond paper = 1 rim * $20/rim = $20.\n\n4. **Total Cost:**\n   - Sum the costs of pens, notebooks, and bond paper.\n   - Total cost = $6 (pens) + $8 (notebooks) + $20 (bond paper) = $34.\n\n#### 34", "score": 1.0}, {"id": "gsm8k-652", "gold": "75", "pred_text": "To determine how much James paid for the horse-drawn carriage, let's break down the problem step by step.\n\n1. **Calculate the total duration of the carriage hire:**\n   - James hires the carriage from 5 PM to 9 PM, which is a total of 4 hours.\n\n2. **Determine the free hour:**\n   - James gets 1 hour free.\n\n3. **Calculate the paid hours:**\n   - Total duration: 4 hours\n   - Free hour: 1 hour\n   - Paid hours: \\(4 - 1 = 3\\) hours\n\n4. **Determine the cost structure:**\n   - The first paid hour costs $15.\n   - Each hour after the first is twice the cost of the first hour, so each additional hour costs \\(2 \\times 15 = 30\\) dollars.\n\n5. **Calculate the total cost:**\n   - Cost for the first hour: $15\n   - Cost for the next two hours: \\(2 \\times 30 = 60\\) dollars\n   - Total cost: \\(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   - Each topaz gemstone is 1 inch long.\n   - Katerina uses 8 topaz gemstones per necklace.\n   - Therefore, the total length occupied by the topaz gemstones is:\n     \\[\n     8 \\text{ gemstones} \\times 1 \\text{ inch per gemstone} = 8 \\text{ inches}\n     \\]\n\n2. **Determine the remaining length for the sterling silver beads:**\n   - The total length of each necklace is 25 inches.\n   - Subtract the length occupied by the topaz gemstones from the total length:\n     \\[\n     25 \\text{ inches} - 8 \\text{ inches} = 17 \\text{ inches}\n     \\]\n\n3. **Calculate the number of sterling silver beads needed:**\n   - Each sterling silver bead is 0.25 inches long.\n   - To find the number of beads, divide the remaining length by the length of one bead:\n     \\[\n     \\frac{17 \\text{ inches}}{0.25 \\text{ inches per bead}} = 68 \\text{ beads}\n     \\]\n\nThus, 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 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 total number of sneakers is 48, and 17 were sold at the flash sale.\n   \\[\n   \\text{Number of sneakers sold to the department store} = 48 - 17 = 31\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 is the initial cost of the sneakers, which 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.\n\n1. **Determine the final price of the laptop after the trade-in:**\n   - Original price of the laptop: $600\n   - Trade-in discount: $200\n   - Final price after trade-in: $600 - $200 = $400\n\n2. **Calculate the total amount of money Erika has:**\n   - Money from her part-time job: $150\n   - Money from her mom: $80\n   - Let \\( x \\) be the amount of money she has in her purse.\n\n3. **Set up the equation based on the information that she needs an extra $50:**\n   - Total money she has: \\( x + 150 + 80 \\)\n   - Total money needed: $400\n   - Extra money needed: $50\n\n   Therefore, the equation is:\n   \\[\n   x + 150 + 80 = 400 - 50\n   \\]\n\n4. **Simplify the equation:**\n   \\[\n   x + 230 = 350\n   \\]\n\n5. **Solve for \\( x \\):**\n   \\[\n   x = 350 - 230\n   \\]\n   \\[\n   x = 120\n   \\]\n\nSo, Erika has $120 in her purse.\n\n#### 120", "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   - Speed: 8 miles per hour\n   - Time: 4 hours\n   - Distance = Speed × Time\n   - Distance = 8 miles/hour × 4 hours = 32 miles\n\n2. **Rest:**\n   - Mason takes a rest, which does not contribute to the distance traveled. So, the distance during the rest is 0 miles.\n\n3. **Second Segment:**\n   - Speed: 8 miles per hour\n   - Time: 6 hours\n   - Distance = Speed × Time\n   - Distance = 8 miles/hour × 6 hours = 48 miles\n\n4. **Total Distance:**\n   - Total Distance = Distance of First Segment + Distance of Second Segment + Distance of Rest\n   - Total Distance = 32 miles + 0 miles + 48 miles = 80 miles\n\n#### 80", "score": 1.0}, {"id": "gsm8k-272", "gold": "5", "pred_text": "To determine how much change the mother receives, 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 cashier gives back $5.00 in change.\n\n#### 5.00", "score": 1.0}, {"id": "gsm8k-963", "gold": "147", "pred_text": "Let's define the number of Pokemon caught by each person as follows:\n- Let \\( A \\) be the number of Pokemon caught by Alex.\n- Let \\( S \\) be the number of Pokemon caught by Stan.\n- Let \\( D \\) be the number of Pokemon caught by Adelwolfe.\n\nFrom the problem, we have the following information:\n1. Together they have caught 339 Pokemon:\n   \\[\n   A + S + D = 339\n   \\]\n2. Alex has caught 5 more than Stan:\n   \\[\n   A = S + 5\n   \\]\n3. Stan has caught 13 less than 4 times as many as Adelwolfe has caught:\n   \\[\n   S = 4D - 13\n   \\]\n\nWe need to find the value of \\( S \\). First, we substitute the expressions for \\( A \\) and \\( S \\) in terms of \\( D \\) into the first equation.\n\nFrom \\( S = 4D - 13 \\), we can substitute \\( S \\) in the equation \\( A = S + 5 \\):\n\\[\nA = (4D - 13) + 5 = 4D - 8\n\\]\n\nNow, substitute \\( A \\) and \\( S \\) in terms of \\( D \\) into the total equation:\n\\[\n(4D - 8) + (4D - 13) + D = 339\n\\]\n\nCombine like terms:\n\\[\n4D - 8 + 4D - 13 + D = 339\n\\]\n\\[\n9D - 21 = 339\n\\]\n\nAdd 21 to both sides to isolate the term with \\( D \\):\n\\[\n9D = 360\n\\]\n\nDivide both sides by 9 to solve for \\( D \\):\n\\[\nD = 40\n\\]\n\nNow, substitute \\( D = 40 \\) back into the equation for \\( S \\):\n\\[\nS = 4D - 13 = 4(40) - 13 = 160 - 13 = 147\n\\]\n\nThus, Stan has caught 147 Pokemon. \n\n#### 147", "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 Xavier's height to inches**: Since Xavier was 4 feet tall, we convert feet to inches. There are 12 inches in a foot.\n   \\[\n   4 \\text{ feet} \\times 12 \\text{ inches/foot} = 48 \\text{ inches}\n   \\]\n   So, Xavier was 48 inches tall before growing.\n\n2. **Calculate Xavier's current height**: Xavier grew 3 inches over the summer.\n   \\[\n   48 \\text{ inches} + 3 \\text{ inches} = 51 \\text{ inches}\n   \\]\n   Therefore, Xavier is now 51 inches tall.\n\n3. **Calculate Cole's current height**: Cole was 50 inches tall and grew 2 inches over the summer.\n   \\[\n   50 \\text{ inches} + 2 \\text{ inches} = 52 \\text{ inches}\n   \\]\n   Therefore, Cole is now 52 inches tall.\n\n4. **Find the difference between Cole and Xavier's height**: Subtract Xavier's current height from Cole's current height.\n   \\[\n   52 \\text{ inches} - 51 \\text{ inches} = 1 \\text{ inch}\n   \\]\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 on his player.\n   - Luri has 3 times as many songs as Gabriel.\n   - Therefore, Luri has \\(3 \\times 20 = 60\\) songs on his player.\n\n2. **Calculate the maximum number of songs each can add:**\n   - Both Gabriel and Luri's players can store up to 100 songs.\n   - Gabriel can add \\(100 - 20 = 80\\) more songs to his player.\n   - Luri can add \\(100 - 60 = 40\\) more songs to his player.\n\n3. **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   - The difference is \\(80 - 40 = 40\\).\n\nTherefore, Luri can add 40 fewer songs to his player than Gabriel can add to his. \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 = 20 \\).\n\n2. **First Operation**: The starting value plus half the number is divided by 5. Since the number is the starting value itself, 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 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 48.\n\n#### 48", "score": 1.0}, {"id": "gsm8k-102", "gold": "26", "pred_text": "To determine how many glasses of water John drinks in a week, we need to break down his daily water consumption and then sum it up for the week.\n\n1. **Daily Water Consumption:**\n   - John has a glass of water with breakfast, lunch, and dinner.\n   - Therefore, he drinks 3 glasses of water per day.\n\n2. **Weekday Water Consumption:**\n   - There are 5 weekdays in a week.\n   - So, the total number of glasses of water he drinks on weekdays is \\(3 \\text{ glasses/day} \\times 5 \\text{ days} = 15 \\text{ glasses}\\).\n\n3. **Weekend Water Consumption:**\n   - On weekends, John has a glass of water with breakfast, lunch, and dinner, but he replaces the dinner glass with a soda.\n   - Therefore, he drinks 2 glasses of water and 1 soda on each weekend day.\n   - Since he only drinks water, we can consider this as 2 glasses of water per day on weekends.\n   - There are 2 weekend days in a week.\n   - So, the total number of glasses of water he drinks on weekends is \\(2 \\text{ glasses/day} \\times 2 \\text{ days} = 4 \\text{ glasses}\\).\n\n4. **Total Weekly Water Consumption:**\n   - Adding the weekday and weekend water consumption gives us the total for the week.\n   - \\(15 \\text{ glasses (weekdays)} + 4 \\text{ glasses (weekends)} = 19 \\text{ glasses}\\).\n\n#### 19", "score": 0.0}, {"id": "gsm8k-821", "gold": "35", "pred_text": "Let's break down the problem step by step:\n\n1. **Initial Count**: Hunter counted 50 cars in the school parking lot when he entered class in the morning.\n\n2. **First Break**: During the first break, he counted 20 more cars in the parking lot. So, the total number of cars after the first break is:\n   \\[\n   50 + 20 = 70 \\text{ cars}\n   \\]\n\n3. **Lunch Break**: When Hunter got out of class for the lunch break, he realized that half of the cars in the parking lot had gone. Therefore, the number of cars that left is:\n   \\[\n   \\frac{1}{2} \\times 70 = 35 \\text{ cars}\n   \\]\n\n4. **Remaining Cars**: To find the number of cars left in the parking lot during the lunch break, we subtract the number of cars that left from the total number of cars after the first break:\n   \\[\n   70 - 35 = 35 \\text{ cars}\n   \\]\n\n#### 35", "score": 1.0}, {"id": "gsm8k-365", "gold": "18", "pred_text": "To determine the total number of kids in the park, we need to follow these steps:\n\n1. Identify the number of girls in the park.\n   - There are 6 girls in the park.\n\n2. Determine the number of boys in the park.\n   - According to the problem, there are twice the number of boys as there are girls.\n   - Therefore, the number of boys is \\(2 \\times 6 = 12\\).\n\n3. Calculate the total number of kids in the park.\n   - The total number of kids is the sum of the number of girls and the number of boys.\n   - So, the total number of kids is \\(6 + 12 = 18\\).\n\n#### 18", "score": 1.0}, {"id": "gsm8k-1098", "gold": "30", "pred_text": "To determine Jeff's age, we need to follow the relationships given in the problem step by step.\n\n1. **Determine Martha's age:**\n   - 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. The walls are 1 inch thick, so the inner dimensions will be reduced by 2 inches in each direction (1 inch on 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 prism 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} = 3 \\times 24 = 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, \\( 40,000 = L + 0.3L \\).\n   - This simplifies to \\( 40,000 = 1.3L \\).\n   - Solving for \\( L \\), we get \\( L = \\frac{40,000}{1.3} \\approx 30,769.23 \\).\n\n2. **Determine Adrien's salary four years later:**\n   - Adrien's salary increased by 40% from what it was four years ago.\n   - Adrien's salary four years ago was $40,000.\n   - Therefore, Adrien's salary four years later is \\( 40,000 + 0.4 \\times 40,000 = 40,000 \\times 1.4 = 56,000 \\).\n\n3. **Determine Lylah's salary four years later:**\n   - Lylah's salary also increased by 40% from what it was four years ago.\n   - Lylah's salary four years ago was approximately $30,769.23.\n   - Therefore, Lylah's salary four years later is \\( 30,769.23 + 0.4 \\times 30,769.23 = 30,769.23 \\times 1.4 \\approx 43,076.92 \\).\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 $43,076.92.\n   - Therefore, the total salary is \\( 56,000 + 43,076.92 = 99,076.92 \\).\n\n#### 99,076.9", "score": 0.0}, {"id": "gsm8k-121", "gold": "27", "pred_text": "To determine the total number of fruits brought by Morisette and Kael, we need to follow these steps:\n\n1. **Identify the number of fruits brought by Morisette:**\n   - Apples: 5\n   - Oranges: 8\n\n2. **Calculate the number of fruits brought by Kael:**\n   - Kael brought twice the amount of apples as Morisette:\n     \\[\n     2 \\times 5 = 10 \\text{ apples}\n     \\]\n   - Kael brought half the number of oranges as Morisette:\n     \\[\n     \\frac{8}{2} = 4 \\text{ oranges}\n     \\]\n\n3. **Calculate the total number of fruits brought by each:**\n   - Total fruits brought by Morisette:\n     \\[\n     5 \\text{ apples} + 8 \\text{ oranges} = 13 \\text{ fruits}\n     \\]\n   - Total fruits brought by Kael:\n     \\[\n     10 \\text{ apples} + 4 \\text{ oranges} = 14 \\text{ fruits}\n     \\]\n\n4. **Calculate the total number of fruits brought by both Morisette and Kael:**\n   \\[\n   13 \\text{ fruits} + 14 \\text{ fruits} = 27 \\text{ fruits}\n   \\]\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**: James's home is 4 miles from the store.\n2. **Halfway Point**: When James reaches halfway, he has walked 2 miles (half of 4 miles).\n3. **Realization and Return**: James realizes he forgot something at home and walks back the 2 miles he has already covered. So, he walks an additional 2 miles back to his home.\n4. **Total Distance Walked**: James walks 2 miles to the halfway point and then 2 miles back to his home, totaling 4 miles.\n5. **Speed**: James walks at a speed of 4 miles per hour.\n\nNow, we need to calculate the time it took James to walk the total distance.\n\n- **Total Distance**: 4 miles\n- **Speed**: 4 miles per hour\n\nThe formula to calculate time is:\n\\[ \\text{Time} = \\frac{\\text{Distance}}{\\text{Speed}} \\]\n\nSubstituting the values:\n\\[ \\text{Time} = \\frac{4 \\text{ miles}}{4 \\text{ miles per hour}} = 1 \\text{ hour} \\]\n\nSo, it took James 1 hour to reach the halfway point and return to his home.\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, its length 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 its length as:\n\n\\[ 4x = 4 \\times 8 = 32 \\]\n\nTherefore, the longer piece is 32 feet long.\n\n#### 32", "score": 1.0}, {"id": "gsm8k-1142", "gold": "9", "pred_text": "To determine the number of blue jellybeans in the jar, we need to follow these steps:\n\n1. **Identify the number of green and red jellybeans:**\n   - Jess can see that there are 17 green jellybeans.\n   - There are twice as many red jellybeans as green jellybeans. Therefore, the number of red jellybeans is:\n     \\[\n     2 \\times 17 = 34\n     \\]\n\n2. **Calculate the total number of green and red jellybeans:**\n   - The total number of green and red jellybeans is:\n     \\[\n     17 + 34 = 51\n     \\]\n\n3. **Determine the number of blue jellybeans:**\n   - The total number of jellybeans in the jar is 60. Since the rest of the jellybeans are blue, the number of blue jellybeans is:\n     \\[\n     60 - 51 = 9\n     \\]\n\nThus, the number of blue jellybeans is \\(\\boxed{9}\\).\n\n####", "score": 0.0}, {"id": "gsm8k-1287", "gold": "84", "pred_text": "Let's break down the information given and calculate the total age step by step.\n\n1. **Identify the ages of the sisters:**\n   - There are 3 sisters, and they are all the same age.\n   - Each sister is 16 years old.\n   - Therefore, the total age of the sisters is \\(3 \\times 16 = 48\\) years.\n\n2. **Identify the ages of the brothers:**\n   - There are 2 brothers.\n   - One brother is 12 years old.\n   - The other brother is described as being half the age of the older brother.\n   - Since the older brother is 12 years old, the younger brother is \\(\\frac{12}{2} = 6\\) years old.\n   - Therefore, the total age of the brothers is \\(12 + 6 = 18\\) years.\n\n3. **Calculate the total age of all siblings:**\n   - The total age of the sisters is 48 years.\n   - The total age of the brothers is 18 years.\n   - Therefore, the total age of all siblings is \\(48 + 18 = 66\\) years.\n\n#### 66", "score": 0.0}, {"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.\n2. **Teeth Drilled**: The dentist drills 4 teeth.\n3. **Teeth Capped**: The dentist caps 7 more teeth than he drills. Since the dentist drills 4 teeth, he caps \\(4 + 7 = 11\\) teeth.\n\nNow, let's calculate the total number of teeth fixed by the dentist:\n- Teeth drilled: 4\n- Teeth capped: 11\n- Total teeth fixed: \\(4 + 11 = 15\\)\n\nNext, we need to find what percentage of James' teeth this represents. The formula to calculate the percentage is:\n\n\\[\n\\text{Percentage} = \\left( \\frac{\\text{Number of teeth fixed}}{\\text{Total number of teeth}} \\right) \\times 100\n\\]\n\nSubstituting the values we have:\n\n\\[\n\\text{Percentage} = \\left( \\frac{15}{30} \\right) \\times 100\n\\]\n\nSimplify the fraction:\n\n\\[\n\\frac{15}{30} = \\frac{1}{2}\n\\]\n\nNow, calculate the percentage:\n\n\\[\n\\left( \\frac{1}{2} \\right) \\times 100 = 50\\%\n\\]\n\nSo, the dentist fixes 50% of James' teeth.\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's sister ate 5 cookies on Monday.\n   - Sue ate 4 times as many cookies as her sister 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's sister ate 13 cookies on Tuesday.\n   - Sue ate twice as many cookies as her sister 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   - Total cookies Sue ate = cookies on Monday + cookies on Tuesday\n   - Total cookies Sue ate = \\(20 + 26 = 46\\) cookies\n\n4. **Calculate the total number of cookies Sue's sister ate over the two days:**\n   - Total cookies Sue's sister ate = cookies on Monday + cookies on Tuesday\n   - Total cookies Sue's sister ate = \\(5 + 13 = 18\\) cookies\n\n5. **Calculate the difference in the number of cookies eaten:**\n   - Difference in cookies = cookies Sue ate - cookies Sue's sister ate\n   - Difference in cookies = \\(46 - 18 = 28\\) cookies\n\n6. **Calculate the difference in calories consumed:**\n   - Each cookie has 200 calories.\n   - Therefore, the difference in calories = difference in cookies \\(\\times\\) calories per cookie\n   - Difference in calories = \\(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 follow these steps:\n\n1. **Calculate the total distance Hannah will run:**\n   - Each lap is 0.25 km.\n   - Hannah runs 8 laps.\n   - Total distance = 8 laps × 0.25 km/lap = 2 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   - Total distance = 2 km.\n   - Total water needed = 2 km × 60 ml/km = 120 ml.\n\nTherefore, Hannah will need to drink **120 milliliters** of water.\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 \\), the second house as \\( S \\), and the third house as \\( T \\).\n\nFrom the problem, we have the following information:\n1. The total number of cases needed for all three houses is 250.\n2. The first house needs half the number of cases of the second house.\n3. The third house needs double the number of cases of the first house.\n\nWe can express these relationships with the following equations:\n1. \\( F + S + T = 250 \\)\n2. \\( F = \\frac{1}{2}S \\)\n3. \\( T = 2F \\)\n\nFirst, let's substitute \\( F \\) and \\( T \\) in terms of \\( S \\) into the first equation.\n\nFrom equation 2, we have:\n\\[ F = \\frac{1}{2}S \\]\n\nFrom equation 3, we have:\n\\[ T = 2F = 2 \\left( \\frac{1}{2}S \\right) = S \\]\n\nNow, substitute \\( F \\) and \\( T \\) into the first equation:\n\\[ \\frac{1}{2}S + S + S = 250 \\]\n\nCombine like terms:\n\\[ \\frac{1}{2}S + 2S = 250 \\]\n\\[ \\frac{1}{2}S + \\frac{4}{2}S = 250 \\]\n\\[ \\frac{5}{2}S = 250 \\]\n\nTo solve for \\( S \\), multiply both sides by \\( \\frac{2}{5} \\):\n\\[ S = 250 \\times \\frac{2}{5} \\]\n\\[ S = 100 \\]\n\nNow that we have \\( S = 100 \\), we can find \\( F \\) and \\( T \\):\n\\[ F = \\frac{1}{2}S = \\frac{1}{2} \\times 100 = 50 \\]\n\\[ T = S = 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": "To determine the number of girls on the Chinese team, we need to follow these steps:\n\n1. **Calculate the total number of Chinese participants:**\n   - The total number of Asians is 240.\n   - The number of Japanese participants is 80.\n   - Therefore, the number of Chinese participants is:\n     \\[\n     240 - 80 = 160\n     \\]\n\n2. **Determine the number of girls on the Chinese team:**\n   - We know that the number of boys on the Chinese team is 60.\n   - Let \\( G \\) represent the number of girls on the Chinese team.\n   - The total number of Chinese participants is the sum of boys and girls:\n     \\[\n     60 + G = 160\n     \\]\n   - Solving for \\( G \\):\n     \\[\n     G = 160 - 60 = 100\n     \\]\n\n#### 100", "score": 1.0}, {"id": "gsm8k-444", "gold": "20", "pred_text": "To determine the length of Movie A, we need to follow these steps:\n\n1. **Convert Movie C's length to minutes:**\n   - Movie C is given as 1.25 hours.\n   - Since 1 hour = 60 minutes, we convert 1.25 hours to minutes:\n     \\[\n     1.25 \\text{ hours} \\times 60 \\text{ minutes/hour} = 75 \\text{ minutes}\n     \\]\n\n2. **Determine Movie B's length:**\n   - Movie B is 5 minutes longer than Movie C.\n   - Therefore, the length of Movie B is:\n     \\[\n     75 \\text{ minutes} + 5 \\text{ minutes} = 80 \\text{ minutes}\n     \\]\n\n3. **Determine Movie A's length:**\n   - Movie A is one-fourth the length of Movie B.\n   - Therefore, the length of Movie A is:\n     \\[\n     \\frac{80 \\text{ minutes}}{4} = 20 \\text{ minutes}\n     \\]\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. **Initial Height**: After the first week, the beanstalk was 3 inches tall.\n2. **Second Week**: The beanstalk doubled in height. So, we calculate the height at the end of the second week:\n   \\[\n   3 \\text{ inches} \\times 2 = 6 \\text{ inches}\n   \\]\n3. **Third Week**: The beanstalk grew an additional 4 inches. So, we add this growth to the height at the end of the second week:\n   \\[\n   6 \\text{ inches} + 4 \\text{ inches} = 10 \\text{ inches}\n   \\]\n\n#### The beanstalk was 10 inches tall after 3 weeks.", "score": 0.0}, {"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 this distance is on land and the other half is in water, we can calculate the distance for each part of the journey.\n\n1. **Calculate the distance for each part of the journey:**\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   - Time on land: 5 minutes\n   - Time in water: 10 minutes\n   - Total time: \\( 5 \\text{ minutes} + 10 \\text{ minutes} = 15 \\text{ minutes} \\)\n\nTherefore, it will take Phineas Frog 15 minutes to return home. \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 Deliveries:**\n   - The post office delivered 425 letters on Monday.\n\n2. **Tuesday's Deliveries:**\n   - On Tuesday, they delivered 17 more than one-fifth as many as Monday.\n   - First, calculate one-fifth of Monday's deliveries: \\( \\frac{425}{5} = 85 \\).\n   - Then, add 17 to this number: \\( 85 + 17 = 102 \\).\n   - So, on Tuesday, they delivered 102 letters.\n\n3. **Wednesday's Deliveries:**\n   - On Wednesday, they delivered 5 more than twice as many as they delivered on Tuesday.\n   - First, calculate twice the number of Tuesday's deliveries: \\( 2 \\times 102 = 204 \\).\n   - Then, add 5 to this number: \\( 204 + 5 = 209 \\).\n   - So, on Wednesday, they delivered 209 letters.\n\n4. **Total Deliveries from Monday to Wednesday:**\n   - Add the deliveries from each day: \\( 425 + 102 + 209 \\).\n   - Calculate the sum: \\( 425 + 102 = 527 \\), then \\( 527 + 209 = 736 \\).\n\n#### 736", "score": 1.0}, {"id": "gsm8k-370", "gold": "320", "pred_text": "To determine the total cost of Ethan's hand-painted wallpaper after considering the savings from a DIY approach, we can follow these steps:\n\n1. **Identify the original cost of the wallpaper**: The original cost of the hand-painted wallpaper is $400.\n\n2. **Calculate the savings from a DIY approach**: Ethan saves 20% on the materials cost by making his own wallpaper. To find out how much this 20% savings is, we calculate 20% of $400.\n   \\[\n   \\text{Savings} = 0.20 \\times 400 = 80\n   \\]\n\n3. **Subtract the savings from the original cost**: To find the total cost after the savings, we subtract the savings from the original cost.\n   \\[\n   \\text{Total cost} = 400 - 80 = 320\n   \\]\n\nTherefore, the total cost of Ethan's hand-painted wallpaper after considering the savings from a DIY approach is $320.\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 contains 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 second basket contains \\(2 \\times 10 = 20\\) eggs.\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 eggs.\n\n#### 30", "score": 1.0}, {"id": "gsm8k-601", "gold": "104", "pred_text": "Let's break down the problem step by step to determine 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, so that's \\(5 \\times 3 = 15\\) games.\n\n2. **Games Bought Over the Years:**\n   - **First Year:**\n     - Steve buys 1 game per month for 12 months, so that's \\(1 \\times 12 = 12\\) games.\n   - **Second Year:**\n     - Steve buys 2 games per month for 12 months, so that's \\(2 \\times 12 = 24\\) games.\n   - **Third Year:**\n     - Steve buys 4 games per month for 12 months, so that's \\(4 \\times 12 = 48\\) games.\n\n3. **Total Games Bought:**\n   - First year: 12 games\n   - Second year: 24 games\n   - Third year: 48 games\n   - Total games bought over 3 years: \\(12 + 24 + 48 = 84\\) games\n\n4. **Total Games After 3 Years:**\n   - Initial games: 5 (birthday) + 15 (Christmas) = 20 games\n   - Games bought: 84 games\n   - Total games: \\(20 + 84 = 104\\) games\n\n#### 104", "score": 1.0}, {"id": "gsm8k-59", "gold": "187", "pred_text": "To determine 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.\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 each team takes 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\nEach member of the well-rounded team runs 400 meters in 55 seconds. Since there are four members, the total time 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 a different pace for each runner. The first runner runs in 60 seconds, and each subsequent runner is 3 seconds faster than the previous one. Therefore, the times for each runner are:\n- First runner: 60 seconds\n- Second runner: 60 - 3 = 57 seconds\n- Third runner: 57 - 3 = 54 seconds\n- Fourth runner: 54 - 3 = 51 seconds\n\nThe total time for the less well-rounded team is the sum of these times:\n\\[ 60 + 57 + 54 + 51 \\]\n\nWe can add these step by step:\n\\[ 60 + 57 = 117 \\]\n\\[ 117 + 54 = 171 \\]\n\\[ 171 + 51 = 222 \\]\n\nSo, the total time for the less well-rounded team is 222 seconds.\n\n**Step 3: Calculate the difference in time between the two teams.**\n\nThe difference in time is:\n\\[ 222 \\text{ seconds} - 220 \\text{ seconds} = 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 need to break down the problem step by step.\n\n1. **Calculate the number of face masks used per outing:**\n   - Tyrion changes his face mask two times every time he goes out.\n\n2. **Calculate 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 face mask two times 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 every 2 days:**\n   - If Tyrion uses 6 face masks per day, then over 2 days, he uses:\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 subtract the number of rainbow and oatmeal cookies from the total number of cookies made.\n\n1. Start with the total number of cookies made: 7995.\n2. Subtract the number of rainbow cookies: 7995 - 2595.\n3. Subtract the number of oatmeal cookies: (7995 - 2595) - 3075.\n\nLet's do the calculations step by step:\n\n1. \\(7995 - 2595 = 5400\\)\n2. \\(5400 - 3075 = 2325\\)\n\nSo, the number of chocolate chip cookies made is 2325.\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 need to 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 one hour.\n   - Therefore, the total time in minutes is \\( 12 \\times 60 = 720 \\) minutes.\n\n#### 720", "score": 1.0}, {"id": "gsm8k-1029", "gold": "34", "pred_text": "Let's break down the problem step by step:\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   - Half of the yellow balloons were released.\n   - Number of yellow balloons released: \\( 12 \\times 0.50 = 6 \\)\n   - Remaining yellow balloons: \\( 12 - 6 = 6 \\)\n\n4. **Blue Balloons Found:**\n   - 8 blue balloons were caught in a tree.\n   - Sally added 75% of these blue balloons to her remaining clutch.\n   - Number of blue balloons added: \\( 8 \\times 0.75 = 6 \\)\n   - Total balloons after adding blue ones: \\( 15 \\text{ (red)} + 6 \\text{ (yellow)} + 6 \\text{ (blue)} = 27 \\)\n\nTherefore, the number of balloons Sally finally carried into the school is **27**.\n\n#### 27", "score": 0.0}, {"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. **Calculate 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. **Determine 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": "To determine the total number of holes in all the buttons in the bag, we need to follow these steps:\n\n1. **Identify the number of buttons with two holes and the number of buttons with four holes:**\n   - There are 7 buttons with 2 holes.\n   - The rest of the buttons have 4 holes. Since there are 21 buttons in total, the number of buttons with 4 holes is \\(21 - 7 = 14\\).\n\n2. **Calculate the total number of holes for the buttons with two holes:**\n   - Each of the 7 buttons has 2 holes, so the total number of holes for these buttons is \\(7 \\times 2 = 14\\).\n\n3. **Calculate the total number of holes for the buttons with four holes:**\n   - Each of the 14 buttons has 4 holes, so the total number of holes for these buttons is \\(14 \\times 4 = 56\\).\n\n4. **Add the holes from both groups of buttons to get the total number of holes:**\n   - The total number of holes is \\(14 + 56 = 70\\).\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 of hiding from under a lily pad. Since they were hiding, they were not visible before. Now, they are visible.\n3. After that, 2 of the tadpoles hide under a rock. These 2 tadpoles were previously visible but are now hidden.\n\nTo find out how many tadpoles Finn can see now, we need to consider the following:\n\n- Initially, there were 11 tadpoles.\n- 6 of these tadpoles came out of hiding, so they are now visible.\n- 2 of the tadpoles that were previously visible now hide under a rock, so they are not visible anymore.\n\nSo, the number of tadpoles Finn can see now is the initial number minus the number that hid under the rock plus the number that came out of hiding:\n\n\\[ 11 - 2 + 6 = 15 - 2 = 13 \\]\n\nTherefore, the number of tadpoles Finn can see in the pond now is:\n\n#### 13", "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.\n   - 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 cows.\n\n3. **Total Number of Cows After Purchase:**\n   - Adding the 40 cows to the initial 200 cows, the total number of cows becomes \\(200 + 40 = 240\\) cows.\n\n4. **Dividing the New Cows Equally:**\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   - Initially, each stall had 20 cows.\n   - After adding 2 new cows to each stall, each stall now has \\(20 + 2 = 22\\) cows.\n\n6. **Number of Cows in 8 Stalls:**\n   - Since each of the 8 stalls now has 22 cows, the total number of cows in 8 stalls is \\(8 \\times 22 = 176\\) cows.\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 a weekly pass:**\n   - Janet takes 2 bus trips each day.\n   - Each bus trip costs $2.20.\n   - She does this 5 days a week.\n\n   First, find the cost of bus trips per day:\n   \\[\n   2 \\text{ trips/day} \\times \\$2.20 \\text{ per trip} = \\$4.40 \\text{ per day}\n   \\]\n\n   Next, find the cost of bus trips for 5 days:\n   \\[\n   \\$4.40 \\text{ per day} \\times 5 \\text{ days} = \\$22.00 \\text{ for the week}\n   \\]\n\n2. **Compare the cost of bus trips without a pass to the cost of a weekly pass:**\n   - The weekly bus pass costs $20.\n\n3. **Calculate the savings:**\n   - Subtract the cost of the weekly pass from the total cost of bus trips without a pass:\n   \\[\n   \\$22.00 \\text{ (without pass)} - \\$20.00 \\text{ (with pass)} = \\$2.00\n   \\]\n\nTherefore, Janet would save \\$2.00 by buying a weekly bus pass.\n\n#### 2", "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 four friends each ordered one pizza.\n   - Total pizzas = 5.\n\n2. **Total number of slices per pizza:**\n   - Each pizza has 12 slices.\n   - Total slices = 5 pizzas * 12 slices/pizza = 60 slices.\n\n3. **Slices eaten by Bryce and two friends:**\n   - Each of these three people ate \\( \\frac{2}{3} \\) of their pizza.\n   - Slices eaten by each = \\( \\frac{2}{3} \\) * 12 slices = 8 slices.\n   - Total slices eaten by Bryce and two friends = 3 people * 8 slices/person = 24 slices.\n\n4. **Slices eaten by the two remaining friends:**\n   - Each of these two people ate \\( \\frac{3}{4} \\) of their pizza.\n   - Slices eaten by each = \\( \\frac{3}{4} \\) * 12 slices = 9 slices.\n   - Total slices eaten by the two remaining friends = 2 people * 9 slices/person = 18 slices.\n\n5. **Total slices eaten:**\n   - Total slices eaten = slices eaten by Bryce and two friends + slices eaten by the two remaining friends.\n   - Total slices eaten = 24 slices + 18 slices = 42 slices.\n\n6. **Slices left:**\n   - Total slices left = total slices - total slices eaten.\n   - Total slices left = 60 slices - 42 slices = 18 slices.\n\n#### 18", "score": 1.0}, {"id": "gsm8k-739", "gold": "98", "pred_text": "To solve this problem, let's break it down step by step.\n\n1. **Determine the cost of a half-gallon jar:**\n   - We know that a gallon jar costs $2 more than a half-gallon jar.\n   - A gallon jar costs $5.\n   - Therefore, the cost of a half-gallon jar is $5 - $2 = $3.\n\n2. **Calculate the cost of 10-gallon jars:**\n   - The cost of one gallon jar is $5.\n   - Therefore, the cost of 10-gallon jars is 10 * $5 = $50.\n\n3. **Calculate the cost of 16 half-gallon jars:**\n   - The cost of one half-gallon jar is $3.\n   - Therefore, the cost of 16 half-gallon jars is 16 * $3 = $48.\n\n4. **Calculate the total amount of money spent:**\n   - The total cost is the sum of the cost of the 10-gallon jars and the 16 half-gallon jars.\n   - Total cost = $50 + $48 = $98.\n\n#### 98", "score": 1.0}, {"id": "gsm8k-734", "gold": "17", "pred_text": "To determine the total weight of Cindy's books, we need to add the weights of each book together. Let's break it down step by step:\n\n1. **Math and Science Books:**\n   - Cindy has 2 math books, each weighing 2 pounds.\n   - Total weight for math books: \\(2 \\text{ books} \\times 2 \\text{ pounds/book} = 4 \\text{ pounds}\\).\n   - Cindy has 2 science books, each weighing 2 pounds.\n   - Total weight for science books: \\(2 \\text{ books} \\times 2 \\text{ pounds/book} = 4 \\text{ pounds}\\).\n\n2. **French Book:**\n   - The French book weighs 4 pounds.\n   - Total weight for the French book: \\(4 \\text{ pounds}\\).\n\n3. **English Book:**\n   - The English book weighs 3 pounds.\n   - Total weight for the English book: \\(3 \\text{ pounds}\\).\n\n4. **History Book:**\n   - The history book weighs twice as much as the English book.\n   - Total weight for the history book: \\(2 \\times 3 \\text{ pounds} = 6 \\text{ pounds}\\).\n\nNow, we add the weights of all the books together:\n\n\\[\n4 \\text{ pounds (math books)} + 4 \\text{ pounds (science books)} + 4 \\text{ pounds (French book)} + 3 \\text{ pounds (English book)} + 6 \\text{ pounds (history book)} = 21 \\text{ pounds}\n\\]\n\n#### 21", "score": 0.0}, {"id": "gsm8k-632", "gold": "45", "pred_text": "Let's break down the problem step by step:\n\n1. **Snowflake Stamps**: Max bought 16 snowflake stamps.\n   - \\( S = 16 \\)\n\n2. **Truck Stamps**: Max bought 3 more truck stamps than snowflake stamps.\n   - \\( T = S + 3 \\)\n   - Substituting the value of \\( S \\):\n   - \\( T = 16 + 3 = 19 \\)\n\n3. **Rose Stamps**: Max bought 9 fewer rose stamps than truck stamps.\n   - \\( R = T - 9 \\)\n   - Substituting the value of \\( T \\):\n   - \\( R = 19 - 9 = 10 \\)\n\n4. **Total Stamps**: To find the total number of stamps Max bought, we add the number of snowflake, truck, and rose stamps.\n   - \\( \\text{Total} = S + T + R \\)\n   - Substituting the values of \\( S \\), \\( T \\), and \\( R \\):\n   - \\( \\text{Total} = 16 + 19 + 10 = 45 \\)\n\n#### 45", "score": 1.0}, {"id": "gsm8k-231", "gold": "50", "pred_text": "To determine how many shells Kylie collects on Tuesday, we need to follow these steps:\n\n1. **Determine how many shells Kylie collects on Monday:**\n   - Robert collects 20 shells on Monday.\n   - Kylie collects 5 more shells than Robert on Monday.\n   - Therefore, Kylie collects \\(20 + 5 = 25\\) shells on Monday.\n\n2. **Determine how many shells Kylie collects on Tuesday:**\n   - On Tuesday, Kylie collects 2 times more shells than she did on Monday.\n   - Since Kylie collected 25 shells on Monday, on Tuesday she collects \\(25 \\times 2 = 50\\) shells.\n\n#### 50", "score": 1.0}, {"id": "gsm8k-206", "gold": "860", "pred_text": "To calculate the total kilometers Micheal rode, we need to break down the problem into two parts: the first four weeks and the next three weeks.\n\n**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 kilometers for the first four weeks can be calculated as:\n\\[ 5 \\text{ rides/week} \\times 25 \\text{ kilometers/ride} \\times 4 \\text{ weeks} = 500 \\text{ kilometers} \\]\n\n**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 kilometers for the next three weeks can be calculated as:\n\\[ 2 \\text{ rides/week} \\times 60 \\text{ kilometers/ride} \\times 3 \\text{ weeks} = 360 \\text{ kilometers} \\]\n\n**Total Kilometers:**\nTo find the total kilometers Micheal rode, we add the kilometers from the first four weeks and the next three weeks:\n\\[ 500 \\text{ kilometers} + 360 \\text{ kilometers} = 860 \\text{ kilometers} \\]\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 badge every month.\n   - In a 1 year time frame (12 months), Claire earns \\(1 \\times 12 = 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 in 1 month, Amber earns 1 badge in 2 months.\n   - In a 1 year time frame (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 1 year time frame, Claire earns 12 badges, so Wendy earns \\(3 \\times 12 = 36\\) badges.\n\n4. **Comparing Wendy's and Amber's badge counts:**\n   - Wendy earns 36 badges.\n   - Amber earns 6 badges.\n   - The difference in the number of badges between Wendy and Amber is \\(36 - 6 = 30\\).\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 thickness and page density**: The book is 1.5 inches thick, and the paper is stacked such that 100 pages are in 1 inch.\n\n2. **Calculate the number of pages per inch**: Since 100 pages are in 1 inch, we can use this ratio to find out how many pages are in 1.5 inches.\n\n3. **Calculate the total number of pages**: Multiply the number of pages per inch by the thickness in inches.\n\nLet's perform the calculations step by step:\n\n1. **Pages per inch**: \n   \\[\n   \\text{Pages per inch} = 100\n   \\]\n\n2. **Thickness of the book in inches**: \n   \\[\n   \\text{Thickness} = 1.5 \\text{ inches}\n   \\]\n\n3. **Total number of pages**: \n   \\[\n   \\text{Total pages} = \\text{Pages per inch} \\times \\text{Thickness}\n   \\]\n   \\[\n   \\text{Total pages} = 100 \\times 1.5\n   \\]\n   \\[\n   \\text{Total pages} = 150\n   \\]\n\nTherefore, the book has 150 pages. \n\n#### 150", "score": 0.0}, {"id": "gsm8k-500", "gold": "16", "pred_text": "Let's denote the number of insects found by David as \\(D\\), by Lily as \\(L\\), and by Bodhi as \\(B\\).\n\nFrom the problem, we have the following information:\n1. \\(L + D + B = 43\\)\n2. \\(L = D + 7\\)\n3. \\(D = \\frac{1}{2}B\\)\n\nFirst, we can express \\(L\\) and \\(B\\) in terms of \\(D\\):\n- From \\(D = \\frac{1}{2}B\\), we can solve for \\(B\\): \\(B = 2D\\).\n- From \\(L = D + 7\\), we already have \\(L\\) in terms of \\(D\\).\n\nNow, substitute \\(L\\) and \\(B\\) in the first equation:\n\\[ (D + 7) + D + 2D = 43 \\]\n\nCombine like terms:\n\\[ 4D + 7 = 43 \\]\n\nSubtract 7 from both sides:\n\\[ 4D = 36 \\]\n\nDivide by 4:\n\\[ D = 9 \\]\n\nNow that we know \\(D = 9\\), we can find \\(L\\) and \\(B\\):\n- \\(L = D + 7 = 9 + 7 = 16\\)\n- \\(B = 2D = 2 \\times 9 = 18\\)\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. **Monthly cost of treats:**\n   - Treats cost $20 per month.\n   - Monthly cost of treats = $20/month.\n\n3. **Monthly cost of medicine:**\n   - Medicine costs $100 per month.\n   - Monthly cost of medicine = $100/month.\n\n4. **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/month.\n\n5. **Annual cost:**\n   - There are 12 months in a year.\n   - Annual cost = Total monthly cost * 12 months/year\n   - Annual cost = $220/month * 12 months/year = $2640/year.\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 Nate's vacation:**\n   - The dog digs 6 holes per day.\n   - Nate is on vacation for 14 days.\n   - Total holes dug by the dog = \\(6 \\text{ holes/day} \\times 14 \\text{ days} = 84 \\text{ holes}\\).\n\n2. **Calculate the net change in the number of holes each day after Nate gets home:**\n   - Nate starts filling in 9 holes per day.\n   - The dog digs 6 new holes per night.\n   - Net change in holes per day = \\(9 \\text{ holes filled} - 6 \\text{ holes dug} = 3 \\text{ holes filled}\\).\n\n3. **Determine the number of days required to fill in all the holes:**\n   - We need to fill in 84 holes, and the net change is 3 holes per day.\n   - Number of days required = \\(\\frac{84 \\text{ holes}}{3 \\text{ holes/day}} = 28 \\text{ days}\\).\n\n4. **Convert the number of days into weeks:**\n   - There are 7 days in a week.\n   - Number of weeks required = \\(\\frac{28 \\text{ days}}{7 \\text{ days/week}} = 4 \\text{ weeks}\\).\n\n#### 4", "score": 1.0}, {"id": "gsm8k-544", "gold": "80", "pred_text": "To solve this problem, let's define 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 write the equation:\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. **Calculate the remaining emails**: \n   \\[\n   16 - 7 = 9 \\text{ emails}\n   \\]\n\n4. **Emails to family**: Two-thirds of the remaining emails are to family.\n   \\[\n   \\frac{2}{3} \\times 9 = 6 \\text{ emails}\n   \\]\n\n5. **Calculate the remaining emails after family emails**: \n   \\[\n   9 - 6 = 3 \\text{ emails}\n   \\]\n\n6. **Emails to boyfriend**: One-third of the remaining emails are to her boyfriend.\n   \\[\n   \\frac{1}{3} \\times 3 = 1 \\text{ email}\n   \\]\n\n#### 1", "score": 1.0}, {"id": "gsm8k-992", "gold": "52", "pred_text": "To determine how many 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**: Buford writes one check per month for the electric bill.\n   - Since there are 12 months in a year, he writes \\(12\\) checks for the electric bill.\n\n2. **Gas Bill**: Buford writes one check per month for the gas bill.\n   - Similarly, since there are 12 months in a year, he writes \\(12\\) checks for the gas bill.\n\n3. **Church**: Buford writes two checks per month to the church.\n   - Therefore, in a year, he writes \\(2 \\times 12 = 24\\) checks to the church.\n\n4. **Pest and Lawn Service**: Buford writes one check every quarter for the pest and lawn service.\n   - There are 4 quarters in a year, so he writes \\(1 \\times 4 = 4\\) checks for the pest and lawn service.\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\nAdding these together:\n\\[12 + 12 + 24 + 4 = 52\\]\n\nTherefore, Buford writes \\(52\\) checks per year.\n\n#### 52", "score": 1.0}, {"id": "gsm8k-1251", "gold": "30", "pred_text": "To determine the total time it takes John to solve the Rubik's cube, we need to break down the time spent on each side and then sum these times.\n\n1. **First side:**\n   - Time taken: 5 minutes\n\n2. **Second and third sides:**\n   - Each side takes twice the time of the first side.\n   - Time for each of these sides: \\(2 \\times 5 = 10\\) minutes\n   - Total time for the second and third sides: \\(10 + 10 = 20\\) minutes\n\n3. **Fourth and fifth sides:**\n   - Each side takes half the time of the first side.\n   - Time for each of these sides: \\(\\frac{5}{2} = 2.5\\) minutes\n   - Total time for the fourth and fifth sides: \\(2.5 + 2.5 = 5\\) minutes\n\n4. **Sixth side:**\n   - Once the fifth side is solved, the sixth side is solved automatically, so no additional time is needed for the sixth side.\n\nNow, we sum the times for all the sides:\n- First side: 5 minutes\n- Second and third sides: 20 minutes\n- Fourth and fifth sides: 5 minutes\n\nTotal time: \\(5 + 20 + 5 = 30\\) minutes\n\n#### 30", "score": 1.0}, {"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 averages 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{ per banana} = \\$32.00\\).\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{ per bunch} = \\$30.00\\).\n\n4. **Calculate the savings:**\n   - Savings = Cost of buying individually - Cost of buying in bunches\n   - Savings = \\$32.00 - \\$30.00 = \\$2.00.\n\n#### \\$2.00", "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.\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   \\[\n   200 \\text{ (monkeys)} + 400 \\text{ (gorillas)} + 100 \\text{ (baboons)} = 700 \\text{ bananas per month}\n   \\]\n\n3. **Calculate the total banana consumption for 2 months:**\n   \\[\n   700 \\text{ bananas per month} \\times 2 \\text{ months} = 1400 \\text{ bananas}\n   \\]\n\nTherefore, the zookeeper needs to order 1400 bananas to last for 2 months. \n\n#### 1400", "score": 1.0}, {"id": "gsm8k-803", "gold": "9", "pred_text": "To determine how many hours Kris still needs to play to earn the achievement, we need to calculate the total hours she has already played and then subtract this from the 30 hours required.\n\n1. **Calculate the hours played in the first 2 weeks:**\n   - Kris plays for half an hour every day.\n   - There are 7 days in a week, so in 2 weeks, there are \\(2 \\times 7 = 14\\) days.\n   - Therefore, the total hours played in the first 2 weeks is \\(14 \\times 0.5 = 7\\) hours.\n\n2. **Calculate the hours played in the next week:**\n   - Kris plays for 2 hours every day.\n   - There are 7 days in a week.\n   - Therefore, the total hours played in the next week is \\(7 \\times 2 = 14\\) hours.\n\n3. **Calculate the total hours played so far:**\n   - The total hours played in the first 2 weeks is 7 hours.\n   - The total hours played in the next week is 14 hours.\n   - Therefore, the total hours played so far is \\(7 + 14 = 21\\) hours.\n\n4. **Calculate the remaining hours needed to reach 30 hours:**\n   - The total hours required to earn the achievement is 30 hours.\n   - The total hours already played is 21 hours.\n   - Therefore, the remaining hours needed is \\(30 - 21 = 9\\) hours.\n\n#### 9", "score": 1.0}, {"id": "gsm8k-1021", "gold": "36", "pred_text": "To determine how many points Aries is sure to get, we need to follow these steps:\n\n1. **Calculate the number of easy, average, and difficult questions:**\n   - Total number of questions: 60\n   - Percentage of easy questions: 40%\n   - Number of easy questions: \\( 60 \\times 0.40 = 24 \\)\n   - Number of average questions: \\( \\frac{60 - 24}{2} = \\frac{36}{2} = 18 \\)\n   - Number of difficult questions: \\( \\frac{60 - 24}{2} = \\frac{36}{2} = 18 \\)\n\n2. **Calculate the number of questions Aries is sure to get correct:**\n   - For easy questions: Aries is sure to get 75% correct.\n     - Number of easy questions she gets correct: \\( 24 \\times 0.75 = 18 \\)\n   - For average questions: Aries is sure to get half correct.\n     - Number of average questions she gets correct: \\( 18 \\times 0.50 = 9 \\)\n   - For difficult questions: Aries is sure to get half correct.\n     - Number of difficult questions she gets correct: \\( 18 \\times 0.50 = 9 \\)\n\n3. **Calculate the total number of questions Aries is sure to get correct:**\n   - Total correct answers: \\( 18 + 9 + 9 = 36 \\)\n\n4. **Determine the final numeric answer:**\n   - Aries is sure to get 36 points.\n\n#### 36", "score": 1.0}, {"id": "gsm8k-1310", "gold": "64", "pred_text": "To solve this problem, let's break it down step by step.\n\n1. **Determine the distance Aaron ran:**\n   - Vanessa ran 4 miles.\n   - Aaron ran half the distance Vanessa ran, as stated in the problem.\n   - Therefore, Aaron ran \\( \\frac{4}{2} = 2 \\) miles.\n\n2. **Determine Aaron's speed:**\n   - Aaron completed his 2 miles in 16 minutes.\n   - Speed is calculated as distance divided by time.\n   - Aaron's speed is \\( \\frac{2 \\text{ miles}}{16 \\text{ minutes}} = \\frac{1}{8} \\text{ miles per minute} \\).\n\n3. **Determine Vanessa's speed:**\n   - Aaron runs each mile twice as fast as Vanessa.\n   - Therefore, Vanessa's speed is \\( 2 \\times \\frac{1}{8} = \\frac{1}{4} \\text{ miles per minute} \\).\n\n4. **Calculate the time Vanessa took to run 4 miles:**\n   - Time is calculated as distance divided by speed.\n   - Vanessa's time to run 4 miles is \\( \\frac{4 \\text{ miles}}{\\frac{1}{4} \\text{ miles per minute}} = 4 \\times 4 = 16 \\text{ minutes} \\).\n\nThus, Vanessa took 16 minutes to complete her part of the race.\n\n#### 16", "score": 0.0}, {"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 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. **Additional Birds Joining**: A few minutes later, 20 more birds joined the remaining 8 birds.\n   - The total number of birds now in the backyard is \\( 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 during these two weeks, we need to break down the costs step by step.\n\n1. **Calculate the cost for one day:**\n   - Paul drives in the morning and in the afternoon.\n   - The cost of the morning ride is $6.\n   - The cost of the afternoon ride is $2.\n   - Therefore, the total cost for one day is:\n     \\[\n     6 + 2 = 8 \\text{ dollars}\n     \\]\n\n2. **Calculate the cost for 14 days:**\n   - Paul drives for 14 days.\n   - The cost for one day is $8.\n   - Therefore, the total cost for 14 days is:\n     \\[\n     14 \\times 8 = 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 flashlights and candles 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   - Total flashlights = 4 (for people) + (2 flashlights/room * 8 rooms) = 4 + 16 = 20 flashlights.\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   - For the 4 rooms with small candles: 4 rooms * 4 small candles/room = 16 small candles.\n   - For the 4 rooms with medium candles: 4 rooms * 5 medium candles/room = 20 medium candles.\n   - Total candles = 16 small candles + 20 medium candles = 36 candles.\n\nCombining the flashlights and candles, we get:\n- Flashlights: 20\n- Candles: 36\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 queens.\n- Let \\( B \\) be the number of baby bees.\n- Let \\( W \\) be the number of worker bees.\n\nFrom the problem, we know:\n1. There are twice as many baby bees as queens, so \\( B = 2Q \\).\n2. There are twice as many worker bees as baby bees, so \\( W = 2B \\).\n3. The total number of bees is 700, so \\( Q + B + W = 700 \\).\n\nFirst, substitute \\( B = 2Q \\) into the equation for \\( W \\):\n\\[ W = 2B = 2(2Q) = 4Q \\]\n\nNow, substitute \\( B = 2Q \\) and \\( W = 4Q \\) into the total number of bees equation:\n\\[ Q + 2Q + 4Q = 700 \\]\n\\[ 7Q = 700 \\]\n\\[ Q = 100 \\]\n\nNow that we know \\( Q = 100 \\), we can find \\( B \\) and \\( W \\):\n\\[ B = 2Q = 2(100) = 200 \\]\n\\[ W = 4Q = 4(100) = 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 need to consider the number of legs on each type of table and then sum them up.\n\n1. **Calculate the number of legs for the 4-legged tables:**\n   - There are 40 tables with 4 legs each.\n   - Total legs from 4-legged tables = \\(40 \\times 4 = 160\\).\n\n2. **Calculate the number of legs for the 3-legged tables:**\n   - There are 50 tables with 3 legs each.\n   - Total legs from 3-legged tables = \\(50 \\times 3 = 150\\).\n\n3. **Sum the legs from both types of tables:**\n   - Total legs = Legs from 4-legged tables + Legs from 3-legged tables\n   - Total legs = \\(160 + 150 = 310\\).\n\n#### 310", "score": 1.0}, {"id": "gsm8k-265", "gold": "9500", "pred_text": "To determine how much more the total price of the house is than Mrs. Cruz's budget, we need to follow these steps:\n\n1. **Calculate the brokerage fee:**\n   The brokerage fee is 5% of the selling price.\n   \\[\n   \\text{Brokerage fee} = 0.05 \\times 350,000 = 17,500\n   \\]\n\n2. **Calculate the transfer fee:**\n   The transfer fee is 12% of the selling price.\n   \\[\n   \\text{Transfer fee} = 0.12 \\times 350,000 = 42,000\n   \\]\n\n3. **Calculate the total additional fees:**\n   The total additional fees are the sum of the brokerage fee and the transfer fee.\n   \\[\n   \\text{Total additional fees} = 17,500 + 42,000 = 59,500\n   \\]\n\n4. **Calculate the total price of the house:**\n   The total price of the house is the sum of the selling price and the total additional fees.\n   \\[\n   \\text{Total price} = 350,000 + 59,500 = 409,500\n   \\]\n\n5. **Determine how much more the total price is than Mrs. Cruz's budget:**\n   Mrs. Cruz's budget is $400,000.\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 determine how many cookies Randy has after all the actions.\n\n1. **Initial Count of Cookies:**\n   - Oatmeal cookies: 9\n   - Chocolate chip cookies: 4\n   - Sugar cookies: 5\n\n2. **Cookies Eaten for Early Day Snack:**\n   - Randy ate 1 oatmeal cookie, 1 chocolate chip cookie, and 1 sugar cookie.\n   - Oatmeal cookies: 9 - 1 = 8\n   - Chocolate chip cookies: 4 - 1 = 3\n   - Sugar cookies: 5 - 1 = 4\n\n3. **Cookies Eaten for Lunch:**\n   - Randy ate 2 oatmeal cookies.\n   - Oatmeal cookies: 8 - 2 = 6\n\n4. **Cookies Given to Friends:**\n   - Randy gave 2 sugar cookies to his friends.\n   - Sugar cookies: 4 - 2 = 2\n\n5. **Cookies Baked for Dinner:**\n   - Randy baked 4 oatmeal cookies, 4 chocolate chip cookies, and 4 sugar cookies.\n   - Oatmeal cookies: 6 + 4 = 10\n   - Chocolate chip cookies: 3 + 4 = 7\n   - Sugar cookies: 2 + 4 = 6\n\n6. **Final Count of Cookies:**\n   - Oatmeal cookies: 10\n   - Chocolate chip cookies: 7\n   - Sugar cookies: 6\n\nAdding these together, the total number of cookies Randy has now is:\n10 (oatmeal) + 7 (chocolate chip) + 6 (sugar) = 23\n\n#### 23", "score": 1.0}, {"id": "gsm8k-220", "gold": "70", "pred_text": "To determine how much time Carmen spent playing these games, we need to calculate the time she spent on crossword puzzles and the time she spent on sudoku puzzles separately, and then add these times together.\n\n1. **Calculate the 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. **Calculate the 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. **Calculate the total time spent on both games:**\n   - The total time spent is the sum of the time spent on crossword puzzles and the time spent on 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 calculate the total cost for Michael to replace the carpet in his bedroom, we need to consider the costs for the new carpet, 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 new carpet:**\n   \\[\n   \\text{Cost of new carpet} = 12 \\, \\text{dollars per square foot} \\times 216 \\, \\text{square feet} = 2592 \\, \\text{dollars}\n   \\]\n\n3. **Calculate the cost of the padding:**\n   \\[\n   \\text{Cost of padding} = 2 \\, \\text{dollars per square foot} \\times 216 \\, \\text{square feet} = 432 \\, \\text{dollars}\n   \\]\n\n4. **Calculate the cost of removing the old carpet:**\n   \\[\n   \\text{Cost of removing old carpet} = 4 \\, \\text{dollars per square foot} \\times 216 \\, \\text{square feet} = 864 \\, \\text{dollars}\n   \\]\n\n5. **Calculate the cost of installing the new carpet:**\n   \\[\n   \\text{Cost of installing new carpet} = 34 \\, \\text{dollars per square foot} \\times 216 \\, \\text{square feet} = 7344 \\, \\text{dollars}\n   \\]\n\n6. **Calculate the total cost:**\n   \\[\n   \\text{Total cost} = \\text{Cost of new carpet} + \\text{Cost of padding} + \\text{Cost of removing old carpet} + \\text{Cost of installing new carpet}\n   \\]\n   \\[\n   \\text{Total cost} = 2592 \\, \\text{dollars} + 432 \\, \\text{dollars} + 864 \\, \\text{dollars} + 7344 \\, \\text{", "score": 0.0}, {"id": "gsm8k-1108", "gold": "38", "pred_text": "Let's break down the problem step by step:\n\n1. **Calculate the total cost before the coupon:**\n   - Cost of the set of pots: $19\n   - Cost of the sack of garden soil: $26\n   - Total cost before coupon: $19 + $26 = $45\n\n2. **Apply the coupon:**\n   - Coupon value: $7\n   - Total cost after applying the coupon: $45 - $7 = $38\n\n#### 38", "score": 1.0}, {"id": "gsm8k-1148", "gold": "9", "pred_text": "To determine how many eggs each child receives, we need to 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 would be:\n   \\[\n   3 \\times 12 = 36 \\text{ eggs}\n   \\]\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:\n   \\[\n   \\frac{36}{4} = 9 \\text{ eggs per child}\n   \\]\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 add the number of female lions, male lions, and lion cubs together. Let's break it down step by step.\n\n1. **Count the female lions:**\n   - The zookeeper counts 12 female lions.\n\n2. **Count the male lions:**\n   - The problem states that there are half as many male lions as female lions.\n   - Therefore, the number of male lions is \\( \\frac{12}{2} = 6 \\).\n\n3. **Count the lion cubs:**\n   - The zookeeper counts 14 lion cubs.\n\n4. **Calculate the total number of lions:**\n   - Add the number of female lions, male lions, and lion cubs together:\n   \\[\n   12 \\text{ (female lions)} + 6 \\text{ (male lions)} + 14 \\text{ (lion cubs)} = 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   - Number of cakes on Monday = 4\n\n2. **Tuesday:**\n   - Rose bought three times the number of cakes she bought on Monday.\n   - Number of cakes on Tuesday = 3 × 4 = 12\n\n3. **Wednesday:**\n   - Rose bought five times the number of cakes she bought on Tuesday.\n   - Number of cakes on Wednesday = 5 × 12 = 60\n\n4. **Total number of cakes bought after all three days:**\n   - Sum the number of cakes bought each day.\n   - Total = Number of cakes on Monday + Number of cakes on Tuesday + Number of cakes on Wednesday\n   - Total = 4 + 12 + 60 = 76\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   - Digimon's 20th anniversary is in 2023 (assuming the current year is 2023, as no specific year is mentioned).\n   - Digimon originally came out in 2003 (2023 - 20 years).\n   - Since John is 28 now, we need to find out how many years have passed since 2003 to determine John's age at that time.\n\n2. **Calculate John's age in 2003:**\n   - John is 28 now, and it's 20 years since Digimon's 20th anniversary.\n   - Therefore, John was \\(28 - 20 = 8\\) years old in 2003.\n\n3. **Determine Jim's age in 2003:**\n   - According to the problem, John was twice as old as Jim in 2003.\n   - If John was 8 years old, then Jim was \\(8 / 2 = 4\\) years old in 2003.\n\n4. **Calculate Jim's current age:**\n   - Since it's been 20 years since 2003, Jim's current age is \\(4 + 20 = 24\\).\n\n#### 24", "score": 1.0}, {"id": "gsm8k-1133", "gold": "50", "pred_text": "To solve this problem, we need to determine the time it takes for Grandma to complete her entire 3-mile walk, given the distances and speeds on the beach and the sidewalk.\n\n1. **Identify the distances and speeds:**\n   - Beach distance: 2 miles\n   - Sidewalk distance: 1 mile\n   - Time spent on the beach: 40 minutes\n   - Speed on the beach: Let's denote this as \\( v \\) miles per minute.\n   - Speed on the sidewalk: \\( 2v \\) miles per minute (since it's twice the speed on the beach).\n\n2. **Calculate the speed on the beach:**\n   - Since she spends 40 minutes on the beach and covers 2 miles, we can find her speed on the beach using the formula:\n     \\[\n     \\text{Speed} = \\frac{\\text{Distance}}{\\text{Time}}\n     \\]\n     \\[\n     v = \\frac{2 \\text{ miles}}{40 \\text{ minutes}} = \\frac{1}{20} \\text{ miles per minute}\n     \\]\n\n3. **Calculate the time spent on the sidewalk:**\n   - The distance on the sidewalk is 1 mile, and her speed on the sidewalk is \\( 2v \\).\n   - Using the same formula for speed:\n     \\[\n     \\text{Time} = \\frac{\\text{Distance}}{\\text{Speed}}\n     \\]\n     \\[\n     \\text{Time on the sidewalk} = \\frac{1 \\text{ mile}}{2v} = \\frac{1 \\text{ mile}}{2 \\times \\frac{1}{20} \\text{ miles per minute}} = \\frac{1 \\text{ mile}}{\\frac{1}{10} \\text{ miles per minute}} = 10 \\text{ minutes}\n     \\]\n\n4. **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:\n     \\[\n     \\text{Total time} = 40 \\text{ minutes} + 10 \\text{ minutes} = 50 \\text{ minutes}\n     \\]\n\n#### 50", "score": 1.0}], "mean_score": 0.885}, "squad": {"wall_s": 3.699511037999855, "gen_tokens": 3135, "tok_per_s": 847.4092840374228, "items": [{"id": "squad-4293", "gold": ["2006", "2006", "2006"], "pred_text": "In 2006, a toxic waste spill off the coast of Côte d'Ivoire, from a European ship, prompted the Commission to look into legislation against toxic waste.", "score": 0.08695652173913045}, {"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": "the most important of which was seafloor spreading", "score": 0.4444444444444445}, {"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": 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the newborn can synthesize its own antibodies.", "score": 0.2666666666666667}, {"id": "squad-2893", "gold": ["Virgin Media", "Virgin Media", "Virgin Media"], "pred_text": "Virgin Media (re-branded in 2007 from NTL:Telewest)", "score": 0.4444444444444445}, {"id": "squad-7723", "gold": ["the BBC", "BBC", "BBC"], "pred_text": "\"BBC, in conjunction with animation studio Cosgrove Hall, reconstructed the missing episodes 1 and 4 of The Invasion (1968), using remastered audio tracks and the comprehensive stage notes for the original filming, for the", "score": 0.06666666666666667}, {"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 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["comedies and family-oriented series", "comedies and family-oriented", "comedies and family-oriented"], "pred_text": "comedies and family-oriented series", "score": 1.0}, {"id": "squad-8940", "gold": ["add O2 instead of CO2 to RuBP", "add O2 instead of CO2", "add O2 instead of CO2 to RuBP"], "pred_text": "it can accidentally add O2 instead of CO2 to RuBP.", "score": 0.8235294117647058}, {"id": "squad-8609", "gold": ["the Working Group chairs", "Working Group chairs", "Working Group chairs"], "pred_text": "The coordinating lead authors are responsible for assembling the contributions of the other authors, ensuring that they meet stylistic and formatting requirements, and reporting to the Working Group chairs.", "score": 0.21428571428571425}, {"id": "squad-3294", "gold": ["Giovanni Branca", "Giovanni Branca", "Giovanni Branca", "Giovanni Branca"], "pred_text": "Giovanni Branca", "score": 1.0}, {"id": "squad-5614", "gold": ["secular and sacred", "secular and sacred covering both Christian (Roman Catholic, Anglican and Greek Orthodox) and Jewish liturgical vessels and items", "secular and sacred"], "pred_text": "the display (about 15% of the collection) is divided into secular and sacred covering both Christian (Roman Catholic, Anglican and Greek Orthodox) and Jewish liturgical vessels and items.", "score": 0.8181818181818181}, {"id": "squad-6910", "gold": ["the state", "judges", "the state (including the judges)", "the judges", "judges"], "pred_text": "the state (including the judges) to decide on utilitarian grounds whether to do so or not.", "score": 0.35294117647058826}, {"id": "squad-2198", "gold": ["charity and good works", "charity and good works", "in charity and good works"], "pred_text": "justification rather depends only on such faith as is active in charity and good works (fides caritate formata).", "score": 0.4347826086956522}, {"id": "squad-1087", "gold": ["1060s", "In the 1060s", "In the 1060s"], "pred_text": "In the 1060s, Robert Crispin led the Normans of Edessa against the Turks.", "score": 0.33333333333333337}, {"id": "squad-3113", "gold": ["Kent, particularly Sandwich, Faversham and Maidstone", "Sandwich, Faversham and Maidstone", "Sandwich, Faversham and Maidstone"], "pred_text": "Sandwich, Faversham and Maidstone", "score": 1.0}, {"id": "squad-1774", "gold": ["the computational model", "specific details of the computational model used", "the specific details of the computational model used"], "pred_text": "computational model used", "score": 0.8}, {"id": "squad-7327", "gold": ["29.7%", "29.7%", "29.7%"], "pred_text": "29.7%", "score": 1.0}, {"id": "squad-8998", "gold": ["algebraic aspects", "algebraic", "algebraic", "algebraic", "algebraic aspects"], "pred_text": "algebraic aspects of numbers", "score": 0.6666666666666666}, {"id": "squad-7802", "gold": ["The Christmas Invasion", "The Christmas Invasion", "The Christmas Invasion"], "pred_text": "in the 2005 Christmas episode \"The Christmas Invasion\", Gold introduced a 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"score": 0.375}, {"id": "squad-3114", "gold": ["a restaurant", "restaurant", "a restaurant"], "pred_text": "The house derives its name from a weaving school which was moved there in the last years of the 19th century, reviving an earlier use.\nIt has been adapted as a restaurant—see illustration above.\nAnswer: The Weavers", "score": 0.0}, {"id": "squad-8069", "gold": ["Alpha Phi Omega", "Four", "Four"], "pred_text": "Four of the sororities are members of the National Panhellenic Conference.", "score": 0.19999999999999998}, {"id": "squad-4035", "gold": ["materials melted near an impact crater.", "materials melted near an impact crater", "materials melted near an impact crater", "materials melted near an impact crater", "materials melted near an impact crater."], "pred_text": "materials melted near an impact crater.", "score": 1.0}, {"id": "squad-3919", "gold": ["Saturn V", "Saturn V", "Saturn V", "Saturn V"], "pred_text": "Saturn V launch vehicle", "score": 0.6666666666666666}, {"id": "squad-4247", "gold": ["1951", "1951", "1951"], "pred_text": "1951", "score": 1.0}, {"id": "squad-3281", "gold": ["Lead fusible plugs", "Lead fusible plugs", "Lead fusible plugs"], "pred_text": "Lead fusible plugs may be present in the crown of the boiler's firebox.", "score": 0.42857142857142855}, {"id": "squad-7683", "gold": ["Hiding behind (or 'watching from behind') the sofa", "Hiding behind (or 'watching from behind') the sofa", "\"Hiding behind (or 'watching from behind') the sofa\""], "pred_text": "Hiding behind (or 'watching from behind') the sofa", "score": 1.0}, {"id": "squad-3049", "gold": ["1487", "1487", "1487"], "pred_text": "A two-volume illustrated folio paraphrase version based on his manuscript, by Jean de Rély, was printed in Paris in 1487.", "score": 0.1}, {"id": "squad-4942", "gold": ["the heavens", "the heavens", "the heavens"], "pred_text": "the heavens, in the form of a conjunction of three planets in 1345 that caused a \"great pestilence in the air\".", "score": 0.11764705882352941}, {"id": "squad-7662", "gold": ["BBC 1", "BBC 1", "BBC 1"], "pred_text": "BBC 1", "score": 1.0}, {"id": "squad-6043", "gold": ["April 1959", "April 1959", "April 1959"], "pred_text": "The series went on to quickly become \"immensely popular\". 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"gold": ["December 1895", "December 1895", "December 1895"], "pred_text": "Tesla may have inadvertently captured an X-ray image—predating, by a few weeks, Wilhelm Röntgen's December 1895 announcement of the discovery of x-rays—when he tried to photograph Mark Twain illuminated by", "score": 0.13793103448275862}, {"id": "squad-4362", "gold": ["moist tropical vegetation cover", "moist tropical", "tropical"], "pred_text": "reduced moist tropical vegetation cover", "score": 0.888888888888889}, {"id": "squad-4489", "gold": ["comb jellies", "comb jellies", "comb jellies"], "pred_text": "comb jellies", "score": 1.0}, {"id": "squad-5255", "gold": ["a motorway underpass", "a motorway underpass", "a motorway underpass"], "pred_text": "a motorway underpass without pedestrian access", "score": 0.5714285714285715}, {"id": "squad-7151", "gold": ["Thomas Reid and Dugald Stewart", "Thomas Reid and Dugald Stewart", "Thomas Reid and Dugald Stewart"], "pred_text": "Common Sense Realism derived from 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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", 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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": "The CJEU's duty is 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": 0.5333333333333333}, {"id": "squad-2389", "gold": ["incapable of teaching", "teaching", "teaching"], "pred_text": "and unfortunately many pastors are well-nigh unskilled and incapable of teaching.", "score": 0.42857142857142855}, {"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 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Conversely, some hormones are regulated by the immune system, notably thyroid hormone activity.", "score": 0.05882352941176471}], "mean_score": 0.6515687130284203}}