data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict | responses listlengths 32 32 | rewards listlengths 32 32 |
|---|---|---|---|---|---|---|
openai/gsm8k | [
{
"content": "Hana sold 4/7 of her stamp collection for $28. How much would she have earned from selling the entire collection? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "49",
"style": "rule"
} | {
"answer": "Hana sold 4/7 of her collection for $28, so 1/7 of her collection represents: 28/4 = $<<28/4=7>>7.\nAnd as a result, the entire collection represents: 7 * 7 = $<<7*7=49>>49.\n#### 49",
"index": 7400,
"question": "Hana sold 4/7 of her stamp collection for $28. How much would she have earned from selli... | [
"To find out how much Hana would earn from selling the entire collection, let's start by understanding the given information:\n\n1. Hana sold \\(\\frac{4}{7}\\) of her stamp collection for $28.\n2. We need to calculate the total value of the entire collection.\n\nTo find the total value of the entire collection (re... | [
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openai/gsm8k | [
{
"content": "Mr. Finnegan has 3 tanks with a capacity of 7000 gallons, 5000 gallons, and 3000 gallons, respectively. If he fills the first tank up to 3/4 full, the second tank with water up to 4/5 of its capacity, and the third tank up to half of its capacity, how many gallons in total are in the tanks? Let's ... | math | {
"ground_truth": "10850",
"style": "rule"
} | {
"answer": "The capacity of the first tank is 7000 gallons, and if it is filled up to 3/4 full, it carries 3/4*7000 = 5250 gallons.\nWhen the second tank is filled up to 4/5 of its capacity, it carries 4/5*5000 = <<4/5*5000=4000>>4000 gallons.\nThe total amount of water in the first two tanks is 5250+4000 = <<5250+4... | [
"To determine the total amount of water in the tanks, we will calculate the volume of water in each tank individually and then sum the results.\n\n1. **First tank:**\n - Capacity: 7000 gallons\n - Filled to \\( \\frac{3}{4} \\) of its capacity\n - Volume of water in the first tank: \n \\[\n 7000 \\tim... | [
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openai/gsm8k | [
{
"content": "In ancient China, soldiers positioned in beacon towers along the Great Wall would send smoke signals to warn of impending attacks. Since the towers were located at 5 kilometer intervals, they could send a signal the length of the Great Wall. If the Great wall was 7300 kilometers long, and every ... | math | {
"ground_truth": "2920",
"style": "rule"
} | {
"answer": "If there were beacon towers every 5 kilometers along the 7300 kilometer length of the Great Wall, then there were 7300/5=<<7300/5=1460>>1460 beacon towers.\nIf every tower had two soldiers, then there were a total of 1460*2=<<1460*2=2920>>2920 soldiers in beacon towers along the Great Wall.\n#### 2920",
... | [
"To determine the combined number of soldiers in beacon towers on the Great Wall, let's break down the problem into a few steps:\n\n### Step 1: Calculate the Number of Beating Points (Friendship Beating Points)\nGiven the intervals, the beacon towers are set at every 5 kilometers along the Great Wall. \nThe total l... | [
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openai/gsm8k | [
{
"content": "James trains for the Olympics. He trains twice a day for 4 hours each time for all but 2 days per week. How many hours does he train a year? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "2080",
"style": "rule"
} | {
"answer": "He trains 4*2=<<4*2=8>>8 hours per day\nHe trains 7-2=<<7-2=5>>5 days\nSo he trains 8*5=<<8*5=40>>40 hour per week\nThat means he trains 40*52=$<<40*52=2080>>2080\n#### 2080",
"index": 7403,
"question": "James trains for the Olympics. He trains twice a day for 4 hours each time for all but 2 days p... | [
"To calculate James's annual training hours, let's break down the information step by step:\n\n1. **Training Frequency:**\n - James trains twice a day.\n - He trains on both days of his chosen days for the week.\n\n2. **Average Days Trained Per Week:**\n - James trains on two days per week (let's assume these... | [
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openai/gsm8k | [
{
"content": "Tom charges a fee of $100 a day to search for an item for the first 5 days and then $60 per day for every day after that. How much did it cost for him to look for an item for 10 days? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "800",
"style": "rule"
} | {
"answer": "The first 5 days cost 5*100=$<<5*100=500>>500\nHe gets 10-5=<<10-5=5>>5 days on discount\nHe paid 5*60=$<<5*60=300>>300 at the discounted rate\nSo in total he pays 500+300=$<<500+300=800>>800\n#### 800",
"index": 7404,
"question": "Tom charges a fee of $100 a day to search for an item for the first 5... | [
"To determine the total cost that Tom charges for looking for an item for 10 days, we need to break down the problem into two parts: the cost for the first 5 days and the cost for the remaining days beyond the first 5 days.\n\n1. **Cost for the first 5 days:**\n Tom charges $100 per day for the first 5 days.\n ... | [
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openai/gsm8k | [
{
"content": "Agatha has $60 to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. What does she have left, in dollars, to spend on a seat and handlebar tape? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "Agatha spends 15+25=<<15+25=40>>40 dollars.\nAgatha has 60-40=<<60-40=20>>20 dollars left.\n#### 20",
"index": 7405,
"question": "Agatha has $60 to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. What does she have left, in dollars, to spend on a seat and handlebar tape?... | [
"To determine how much Agatha has left to spend on a seat and handlebar tape, we need to follow these steps:\n\n1. **Total amount Agatha has:**\n \\[ \\$60 \\]\n\n2. **Amount spent on the frame:**\n \\[ \\$15 \\]\n\n3. **Amount spent on the front wheel:**\n \\[ \\$25 \\]\n\n4. **Calculate the remaining amount... | [
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openai/gsm8k | [
{
"content": "In today's field day challenge, the 4th graders were competing against the 5th graders. Each grade had 2 different classes. The first 4th grade class had 12 girls and 13 boys. The second 4th grade class had 15 girls and 11 boys. The first 5th grade class had 9 girls and 13 boys while the secon... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "When you add up all the girls from all 4 classes, you had 12+15+9+10= <<12+15+9+10=46>>46 girls\nWhen you add up all the boys from all 4 classes, you had 13+11+13+11 = <<13+11+13+11=48>>48 boys\nThere are 48 boys and 36 girls so 48-46 = 2 more boys\n#### 2",
"index": 7406,
"question": "In today's fie... | [
"Sure, let's break it down step by step.\n\n1. Calculate the total number of boys for the 4th graders:\n - The first 4th grade class: 13 boys\n - The second 4th grade class: 11 boys\n - Total for 4th graders = 13 + 11 = 24 boys\n\n2. Calculate the total number of girls for the 4th graders:\n - The first 4th... | [
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openai/gsm8k | [
{
"content": "The school store had a sale on pencils. Ten students bought pencils. The first two students bought 2 pencils each. The next six students bought three pencils each and the last two students only bought one pencil each. How many pencils were sold? Let's think step by step and output the final answer... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "The first students bought 2*2=<<2*2=4>>4 pencils\nThe next 6 students bought 6*3=<<6*3=18>>18 pencils\nThe last two students bought 1+1=<<1+1=2>>2 pencils\nIn total the store sold 4+18+2=<<4+18+2=24>>24 pencils\n#### 24",
"index": 7407,
"question": "The school store had a sale on pencils. Ten student... | [
"To find the total number of pencils sold, we need to calculate the number of pencils bought by each group of students and then sum these amounts.\n\n1. The first two students bought:\n- \\( 2 \\) pencils each\nTotal for the first two students: \n\\( 2 \\times 2 = 4 \\) pencils\n\n2. The next six students bought:\n... | [
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openai/gsm8k | [
{
"content": "A storm dropped 5 inches of rain in the first thirty minutes. In the next 30 minutes, the hurricane dropped half that amount of rain. It then dropped 1/2 inch of rain for the next hour. What was the average rainfall total for the duration of the storm? Let's think step by step and output the fi... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "The storm dropped 5 inches then half that amount so 5/2 = <<5/2=2.5>>2.5 inches\nThe next hour the storm dropped 1/2 inch of rain for 1 hour so 1*.5 = <<1*.5=.5>>.5 inches\nAll total the storm dropped 5 inches + 2.5 inches + .5 inch for = <<5+2.5+.5=8>>8 inches\nIt rained for 2 hours total so 8/2 = <<8/2... | [
"To calculate the average rainfall total for the duration of the storm, we'll first determine the total amount of rain that fell over the entire duration and then divide it by the total time in minutes (which is 2 hours or 120 minutes).\n\n1. In the first thirty minutes, it rained 5 inches. \n2. In the next thirty ... | [
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openai/gsm8k | [
{
"content": "Bill is hoarding toilet paper in fear of another pandemic. Bill goes to the bathroom three times a day and uses 5 squares of toilet paper each time. If Bill has 1000 rolls of toilet paper and each roll has 300 squares of toilet paper, how many days will his toilet paper supply last? Let's think st... | math | {
"ground_truth": "20000",
"style": "rule"
} | {
"answer": "First find the total number of squares Bill's hoard has: 1000 rolls * 300 squares/roll = <<1000*300=300000>>300000 squares\nThen find the number of squares Bill uses each day: 5 squares/time * 3 times/day = <<5*3=15>>15 squares/day\nNow divide the total number of squares by the number of squares Bill use... | [
"Great, here's the step-by-step process to figure out how many days Bill's hoard of toilet paper will last:\n\n1. **Calculate the total number of squares of toilet paper Bill has available:**\n - Number of rolls: 1000\n - Total squares per roll: 300\n - Total squares = 1000 rolls × 300 squares/roll = 300,0... | [
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openai/gsm8k | [
{
"content": "Boris has 24 books and he donates a fourth of his books to the library. Cameron has 30 books and he donates a third of his books to the library. After donating their books, how many books in total do Boris and Cameron have together? Let's think step by step and output the final answer after \"####... | math | {
"ground_truth": "38",
"style": "rule"
} | {
"answer": "Boris donates 24 / 4 = <<24/4=6>>6 books\nThen Boris has a total of 24 - 6 = <<24-6=18>>18 books\nCameron donates 30 / 3 = <<30/3=10>>10 books\nThen Cameron has a total of 30 - 10 = <<30-10=20>>20 books\nAltogether, Boris and Cameron have 18 + 20 = <<18+20=38>>38 books\n#### 38",
"index": 7410,
"ques... | [
"First, let's calculate the number of books Boris donates:\n- Boris has \\(24\\) books.\n- He donates a fourth of his books, which is \\(24 \\div 4 = 6\\) books.\n\nBoris's remaining books after the donation are \\(24 - 6 = 18\\) books.\n\nNext, let's calculate the number of books Cameron donates:\n- Cameron has \\... | [
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openai/gsm8k | [
{
"content": "Kevin has a tree growing in his garden that is currently 180 inches tall. That is 50% taller than it was when he planted it there. How tall was the tree, in feet, then? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "Since it is 50% taller, then 180 inches is 100% + 50% = 150% of its height then.\nSo each 1% is equal to 180/150 = <<180/150=1.2>>1.2 inches.\nSo, its height then was 1.2 x 100% = 120 inches.\nSince 1 foot is equal to 12 inches, then 120 inches is equal to 120/12 = <<120/12=10>>10 feet.\n#### 10",
"ind... | [
"To find the original height of the tree, we start with the given information: the tree is currently 180 inches tall, which is 50% taller than its original height.\n\nFirst, we determine what 50% of the tree's current height is:\n\\[ \\text{50\\% of } 180 \\text{ inches} = \\frac{50}{100 \\times 180} \\times 180 \\... | [
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openai/gsm8k | [
{
"content": "Marcus had 18 pebbles. He skipped half of them across the lake, but Freddy gave him another 30 pebbles. How many pebbles does Marcus have now? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "39",
"style": "rule"
} | {
"answer": "Marcus had 18/2 = <<18/2=9>>9 pebbles left.\nAfter Freddy gave him more, he has 9 + 30 = <<9+30=39>>39 pebbles.\n#### 39",
"index": 7412,
"question": "Marcus had 18 pebbles. He skipped half of them across the lake, but Freddy gave him another 30 pebbles. How many pebbles does Marcus have now?",
"sp... | [
"Marcus originally had 18 pebbles. He skipped half of them across the lake:\n\n1. Half of 18 is \\(18 / 2 = 9\\) pebbles.\n2. After skipping half, he has \\(18 - 9 = 9\\) pebbles left.\n\nNext, Freddy gave him another 30 pebbles:\n\n3. Marcus now has \\(9 + 30 = 39\\) pebbles.\n\nTherefore, the final answer is \\(#... | [
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openai/gsm8k | [
{
"content": "Company A and Company B merge. Company A receives 60% of the combined profits under the new merger, and company B receives 40% of the profits. If company B gets a total of $60000 in profit, how much does company A get? Let's think step by step and output the final answer after \"####\".",
"rol... | math | {
"ground_truth": "90000",
"style": "rule"
} | {
"answer": "Let the total profit of both companies be denoted by x.\nTherefore, 40% * x = 0.4 * x = $60000\nSo x = $60000 / 0.4 = $150000.\nIf Company B gets 60 % of the profits, it gets 60% of $150000, which is 0.6 * $150000 = $<<0.6*150000=90000>>90000.\n#### 90000",
"index": 7413,
"question": "Company A and C... | [
"To determine how much Company A gets, we first need to understand the total profit split between the two companies.\n\nGiven:\n- Company A receives 60% of the combined profits.\n- Company B receives 40% of the combined profits.\n- Company B receives a total of $60,000 in profit.\n\nSince company B receives 40% of ... | [
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openai/gsm8k | [
{
"content": "Musa is the class teacher of a class of 45 students. He wants to split them into three groups by age. If a third of the class is under 11 years, and two-fifths are above 11 but under 13, how many students will be in the third group (13 years and above)? Let's think step by step and output the fina... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "The first group is a third of the class which is (1/3)*45 = <<1/3*45=15>>15 students\nThere are 15 students in the first group, so there are 45-15 = <<45-15=30>>30 students\nThe second group is two-fifths of the class which is (2/5)*45 = <<2/5*45=18>>18 students\nThere are 18 in the second group so there... | [
"To determine the number of students in the third group (13 years and above), we need to follow these steps:\n\n1. **Calculate the number of students under 11 years:**\n - A third of the class is under 11 years.\n - Total number of students: 45.\n - Students under 11 years = \\(\\frac{1}{3} \\times 45 = 15\\)... | [
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openai/gsm8k | [
{
"content": "It took Dad 5 more than twice as long to vacuum upstairs then to vacuum downstairs. He vacuumed for a total of 38 minutes. How many minutes did he vacuum upstairs? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "27",
"style": "rule"
} | {
"answer": "Let D = time in minutes to vacuum downstairs\nUpstairs = 2D + 5 minutes\n3D + 5 = 38\n3D = 33\nD = <<11=11>>11 minutes\nUpstairs = (2 * 11) + 5 = <<(2*11)+5=27>>27 minutes\nDad took 27 minutes to vacuum upstairs.\n#### 27",
"index": 7415,
"question": "It took Dad 5 more than twice as long to vacuum u... | [
"Let's denote the time it took Dad to vacuum downstairs as \\( x \\) minutes.\n\nAccording to the problem, the time it took to vacuum upstairs is 5 more than twice the time spent vacuuming downstairs. Therefore, the time spent vacuuming upstairs is \\( 2x + 5 \\) minutes.\n\nThe total time spent vacuuming is 38 min... | [
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openai/gsm8k | [
{
"content": "Ryan wants to take 5 peanut butter sandwiches to the beach. If each sandwich consists of 3 slices of bread how many slices does Ryan need to make 5 sandwiches? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "To make 1 sandwich, you need 3 slices so Ryan needs 1*3= <<1*3=3>>3 slices to make one sandwich.\nSince it takes 3 slices to make a sandwich, and Ryan wants 5 sandwiches to take to the beach he needs 3*5= <<3*5=15>>15 slices.\n#### 15",
"index": 7416,
"question": "Ryan wants to take 5 peanut butter s... | [
"To determine the total number of slices of bread Ryan needs to make 5 peanut butter sandwiches, where each sandwich consists of 3 slices of bread, we can follow these steps:\n\n1. **Determine the number of sandwiches**: Ryan wants to make 5 sandwiches.\n2. **Determine the number of slices per sandwich**: Each sand... | [
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openai/gsm8k | [
{
"content": "Max fills up water balloons for 30 minutes at a rate of 2 water balloons every minute. Max’s friend Zach fills up water balloons for 40 minutes at a rate of 3 water balloons every minute. In the process, 10 of the water balloons pop on the ground. How many filled water balloons do Max and Zach hav... | math | {
"ground_truth": "170",
"style": "rule"
} | {
"answer": "Max fills 30 * 2 = <<30*2=60>>60 water balloons\nZach fills 40 * 3 = <<40*3=120>>120 water balloons\nMax and Zach have a total of 60 + 120 - 10 = <<60+120-10=170>>170 water balloons\n#### 170",
"index": 7417,
"question": "Max fills up water balloons for 30 minutes at a rate of 2 water balloons every ... | [
"To determine how many filled water balloons Max and Zach have in total, we need to follow these steps:\n\n1. Calculate the number of water balloons Max fills:\n Max's fill rate is 2 water balloons per minute, and he works for 30 minutes.\n \\[\n 2 \\text{ balloons/minute} \\times 30 \\text{ minutes} = 60 \\t... | [
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openai/gsm8k | [
{
"content": "Josh found out that 7 bottle caps weigh exactly one ounce. Josh's entire bottle cap collection weighs 18 pounds exactly. How many bottle caps does Josh have in his collection? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "2016",
"style": "rule"
} | {
"answer": "Josh's collections weights 18 * 16 = <<18*16=288>>288 ounces.\nJosh's collection contains 288 * 7 = <<288*7=2016>>2016 caps\n#### 2016",
"index": 7418,
"question": "Josh found out that 7 bottle caps weigh exactly one ounce. Josh's entire bottle cap collection weighs 18 pounds exactly. How many bottle... | [
"To determine how many bottle caps Josh has in his collection, we need to follow these steps:\n\n1. **Convert the total weight of the collection from pounds to ounces**:\n - 1 pound = 16 ounces\n - Therefore, 18 pounds = 18 × 16 ounces\n\n \\[\n 18 \\text{ pounds} = 18 \\times 16 = 288 \\text{ ounces}\n \... | [
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openai/gsm8k | [
{
"content": "Tapanga and Corey have 66 candies together. However, Tapanga has 8 more candies than Corey. How many candies does Corey have? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "29",
"style": "rule"
} | {
"answer": "Let x = the total number of candies Corey has.\nx + 8 = the total number of candies Tapanga has.\nThe equation for the total number of candies is x + (x + 8) = 66\nCombining like terms, we get 2x + 8 = 66\nSubtracting 8 from both sides, we get 2x = 58\nDividing both sides by 2, we get x = <<29=29>>29, so... | [
"1. Let \\( C \\) be the number of candies Corey has.\n2. According to the problem, Tapanga has \\( C + 8 \\) candies.\n3. Together, they have 66 candies, so we can write the equation:\n \\[\n C + (C + 8) = 66\n \\]\n4. Simplify the equation:\n \\[\n 2C + 8 = 66\n \\]\n5. Subtract 8 from both sides:\n ... | [
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openai/gsm8k | [
{
"content": "Nikola is saving up for a bag of ant food before he can start his ant farm. He wants 400 ants in his farm. Each ant needs 2 ounces of food. Every ounce of ant food costs $.1. Nikola is saving up by raking leaves. He charges $5 to start a job and then he charges by the leaf. Each leaf he rakes cost... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "The ants will need 800 ounces of food because 400 x 2 = <<400*2=800>>800\nThe ant food will cost $80 because 800 x .1 = <<800*.1=80>>80\nHe has earned $60 from the leaves he has raked because 6000 leaves * $0.01/leaf = $<<6000*0.01=60>>60\nHe earned $20 from all his jobs because 80 - 60 = <<80-60=20>>20\... | [
"To determine how many jobs Nikola completed, we need to calculate how much money he earned from raking leaves and how much it cost him to get the ant food.\n\nWe'll start with the cost of ant food. Each ant needs 2 ounces of food, there are 400 ants, and each ounce costs $.1. Calculate the total cost of the ant fo... | [
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openai/gsm8k | [
{
"content": "А Senior Center is hosting a bingo night. $2,400 in prize money will be given away. The first winner of the night will receive a third of the money. The next ten winners will each receive a 10th of the remaining amount. How many dollars will each of the next ten winners receive? Let's think step b... | math | {
"ground_truth": "160",
"style": "rule"
} | {
"answer": "The first winner will receive 2400 / 3 = $<<2400/3=800>>800.\nThere will be 2400 - 800 = $<<2400-800=1600>>1600 left.\nThe other winners will receive 1600 / 10 = $<<1600/10=160>>160 each.\n#### 160",
"index": 7421,
"question": "А Senior Center is hosting a bingo night. $2,400 in prize money will be g... | [
"To find out how much each of the next ten winners will receive, let's start by breaking the problem down step by step.\n\n1. First, we'll find out how much the first winner receives - a third of the total prize money.\n2. Then we'll calculate the remaining prize money after the first winner has taken their share.\... | [
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openai/gsm8k | [
{
"content": "Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark h... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = <<16-12=4>>4 gallons\nNext, figure out how much punch was in the bowl before Sally came along: 4 + 2 = <<4+2=6>>6 gallons.\nNext, figure out how m... | [
"To determine how much punch Mark initially added to the bowl, let's work backwards through the problem, as adding punch and subsequent consumption can complicate the calculation. Here's the step by step process:\n\n1. **Final Punch Environment:**\n The punch bowl is completely filled with 16 gallons of punch.\n\... | [
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openai/gsm8k | [
{
"content": "A sack of rice, which is 50 kilograms, costs $50. If David sells it for $1.20 per kilogram, how much will be his profit? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "David's revenue for the 50 kilograms of rice is $1.20 x 50 = $<<1.20*50=60>>60.\nSo, his profit is $60 - $50 = $<<60-50=10>>10.\n#### 10",
"index": 7423,
"question": "A sack of rice, which is 50 kilograms, costs $50. If David sells it for $1.20 per kilogram, how much will be his profit?",
"split":... | [
"To determine David's profit, we can follow these steps:\n\n1. **Calculate the total revenue from selling the rice:**\n - David sells the rice for $1.20 per kilogram.\n - The sack of rice is 50 kilograms.\n - Total revenue = Price per kilogram × Number of kilograms\n - Total revenue = $1.20 × 50 = $60\n\n2.... | [
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openai/gsm8k | [
{
"content": "In the honey shop, the bulk price of honey is $5 per pound and the minimum spend is $40 before tax. The honey is taxed at $1 per pound. If Penny has paid $240 for honey, by how many pounds has Penny’s purchase exceed the minimum spend? Let's think step by step and output the final answer after \"#... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"answer": "Including tax, a pound of honey costs 5 + 1 = <<5+1=6>>6 dollars\nThe minimum purchase equals 40 / 5 = <<40/5=8>>8 pounds of honey.\nPenny has bought 240 / 6 = <<240/6=40>>40 pounds of honey\nPenny has exceeded the minimum purchase by 40 - 8 = <<40-8=32>>32 pounds.\n#### 32",
"index": 7424,
"question... | [
"To solve this problem, we need to determine how many pounds of honey Penny has purchased, by comparing her total spending of $240 to the given discount and tax information.\n\n### Step 1: Determine the Purchase Quantity\n\nLet \\( q \\) represent the number of pounds of honey Paige purchased.\n\nThe purchase price... | [
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openai/gsm8k | [
{
"content": "Lars owns a bakeshop. She can bake 10 loaves of bread within an hour and 30 baguettes every 2 hours. If she bakes 6 hours a day, how many breads does she makes? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "150",
"style": "rule"
} | {
"answer": "Lars can bake 10 x 6 = <<10*6=60>>60 loaves of bread every day.\nShe can also bake 30 x 3 = <<30*3=90>>90 baguettes every day.\nTherefore the total bread she can bake is 60 + 90 = <<60+90=150>>150.\n#### 150",
"index": 7425,
"question": "Lars owns a bakeshop. She can bake 10 loaves of bread within an... | [
"To calculate the number of breads Lars baking in a day, we'll break down the problem.\n\n1. **Learn Lars' daily baking rate:**\n - She bakes: \n * 10 loaves of bread per hour.\n * 30 baguettes every 2 hours.\n\n2. **Calculate the number of loaves per hour:**\n - If she bakes 10 loaves per hour, her bak... | [
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openai/gsm8k | [
{
"content": "We harvested 405 kg of apples. 90 kg were used to make fruit juice and 60 kg were given to a restaurant. The rest was sold in 5 kg bags and their sale brought in $408. What was the selling price of one bag of apples? Let's think step by step and output the final answer after \"####\".",
"role"... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "The weight of apples used for juice and given to the restaurant is 60 + 90 = <<60+90=150>>150 kg\nThus 405 – 150 = 255kg worth of apples were sold in 5 kg bags.\nThere were 255 / 5 = <<255/5=51>>51 bags sold.\nSo each bag was sold for 408 / 51 = $<<408/51=8>>8\n#### 8",
"index": 7426,
"question": "We... | [
"To find out the selling price of one bag of apples, we will follow these steps:\n\n1. Calculate the total amount of apples sold.\n2. Determine the number of bags of apples sold.\n3. Find the selling price per bag.\n\nStep 1: Calculate the total amount of apples sold.\nWe start by subtracting the apples used for fr... | [
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openai/gsm8k | [
{
"content": "In 5 years, Joey will be as old as Beth is now. If Joey is 9 now, how old was Joey when Beth was Joey's age now? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "Beth is 5+9=<<5+9=14>>14 now.\nBeth was 9 years old 14-9=<<14-9=5>>5 years ago.\nJoey was 9-5=<<9-5=4>>4.\n#### 4",
"index": 7427,
"question": "In 5 years, Joey will be as old as Beth is now. If Joey is 9 now, how old was Joey when Beth was Joey's age now?",
"split": "train"
} | [
"To solve this problem, let's start by setting up the relationships between Joey and Beth's ages using the information provided:\n\n1. **Given Data:**\n - In 5 years, Joey will be as old as Beth is now.\n - Joey is 9 years old now.\n\nLet's denote:\n- Joey's current age by \\( j \\).\n- Beth's current age by \\... | [
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openai/gsm8k | [
{
"content": "Gerald had 20 toy cars. He donated 1/4 of his toy cars to an orphanage. How many toy cars does Gerald have left? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "Gerald gave away 20 x 1/4 = <<20*1/4=5>>5 of his toy cars.\nTherefore, he is left with 20 - 5 = <<20-5=15>>15 toy cars.\n#### 15",
"index": 7428,
"question": "Gerald had 20 toy cars. He donated 1/4 of his toy cars to an orphanage. How many toy cars does Gerald have left?",
"split": "train"
} | [
"First, calculate the number of toy cars Gerald donated:\nNumber of cars donated = Total number of cars Fraction donated\nNumber of cars donated = 20 1/4\nNumber of cars donated = 5\n\nNow, calculate the number of toy cars Gerald has left:\nNumber of cars left = Total number of cars – Number of cars donated\nNu... | [
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openai/gsm8k | [
{
"content": "There are 28 students in a class. Two-sevenths of them were absent last Monday. How many students were present last Monday? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "28 x 2/7 = <<28*2/7=8>>8 students were absent last Monday.\nSo, 28 - 8 = <<28-8=20>>20 students were present last Monday.\n#### 20",
"index": 7429,
"question": "There are 28 students in a class. Two-sevenths of them were absent last Monday. How many students were present last Monday?",
"split": "tr... | [
"Step 1: Determine how many students were absent.\nTwo-sevenths of the 28 students were absent last Monday.\n\n$\\frac{2}{7} \\times 28 = \\frac{274}{7} \\approx 39 \\text{(r1)}$\n\nThere was an error in calculation, as we cannot have more than 28 students. Let's correct this.\n\nStep 2: Correct the calculation.\nL... | [
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openai/gsm8k | [
{
"content": "A park has 50 benches with a capacity of 4 people each. On a Sunday afternoon, 80 people were sitting on the benches. What's the number of available spaces on the benches that other people can sit on before the carrying capacity of the benches is full? Let's think step by step and output the final... | math | {
"ground_truth": "120",
"style": "rule"
} | {
"answer": "In the park, 50 benches with a capacity of four people each have a total capacity of 50*4 = <<50*4=200>>200 sitting spaces.\nIf 80 people are already using spaces, the number of empty spaces is 200-80 =120\n#### 120",
"index": 7430,
"question": "A park has 50 benches with a capacity of 4 people each.... | [
"To determine the number of available spaces on the benches, we need to calculate the total capacity of all the benches and then subtract the number of people already sitting on the benches.\n\n1. **Calculate the total capacity of the benches:**\n - There are 50 benches.\n - Each bench has a capacity of 4 peopl... | [
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openai/gsm8k | [
{
"content": "Patricia and Geoffrey went fishing to feed their group of campers. They caught an eight-pound trout, six two-pound bass, and two twelve-pound salmon. If each person will eat two pounds of fish, how many campers can they feed? Let's think step by step and output the final answer after \"####\".",
... | math | {
"ground_truth": "22",
"style": "rule"
} | {
"answer": "The bass weigh 6 * 2 = <<6*2=12>>12 pounds in all.\nThe salmon weigh 2 * 12 = <<2*12=24>>24 pounds in all.\nThe trout, bass, and salmon together weigh 8 + 12 + 24 = <<8+12+24=44>>44 pounds.\nEach camper will eat 2 pounds of fish, so Patricia and Jeffrey can feed 44 / 2 = <<44/2=22>>22 campers.\n#### 22",... | [
"To determine how many campers Patricia and Geoffrey can feed with their catch of fish, we need to follow these steps:\n\n1. **Calculate the total weight of the trout**:\n - They caught an eight-pound trout.\n\n2. **Calculate the total weight of the bass**:\n - They caught six bass, each weighing two pounds.\n ... | [
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openai/gsm8k | [
{
"content": "It takes 10 minutes to wash a car, 15 minutes to change oil, and 30 minutes to change a set of tires. If mike washes 9 cars, changes the oil on 6 cars, and changes two sets of tires how many hours did he work? Let's think step by step and output the final answer after \"####\".",
"role": "use... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "He spent 10 minutes *9 cars = <<10*9=90>>90 minutes washing cars\nHe spent another 15 minutes * 6 cars = <<15*6=90>>90 minutes changing oil.\nHe spent 2 cars * 30 minutes = <<2*30=60>>60 minutes changing tires.\nHe spent 90 minutes + 90 minutes + 60 minutes = <<90+90+60=240>>240 minutes working\nHe spent... | [
"To find out how many hours Mike worked, let's calculate the total time spent on each task and then sum them up:\n\n1. Time to wash 9 cars:\n \\[\n 9 \\text{ cars} \\times 10 \\text{ minutes/car} = 90 \\text{ minutes}\n \\]\n\n2. Time to change oil on 6 cars:\n \\[\n 6 \\text{ cars} \\times 15 \\text{ min... | [
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openai/gsm8k | [
{
"content": "Woody wants to buy a games console that costs $282. Woody already has $42 and receives an allowance of $24 every week. How many weeks will it take him to save the money he needs for the game console? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "Woody needs to save another $282 - $42 = $<<282-42=240>>240 to be able to afford a games console\nIt will take Woody $240 / $24/week = <<240/24=10>>10 weeks to save up enough money\n#### 10",
"index": 7433,
"question": "Woody wants to buy a games console that costs $282. Woody already has $42 and rec... | [
"Step 1: Calculate the total amount of money Woody needs to save.\nCost of the games console = $282\nMoney Woody already has = $42\nMoney Woody will receive in a week = $24\nTotal amount Woody needs to save = Cost of the games console - Money Woody already has - Money Woody will receive in a week\nTotal amount Wood... | [
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openai/gsm8k | [
{
"content": "Travis has 10000 apples, and he is planning to sell these apples in boxes. Fifty apples can fit in each box. If he sells each box of apples for $35, how much will he be able to take home? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "7000",
"style": "rule"
} | {
"answer": "The total of boxes of apples is 10000 / 50 = <<10000/50=200>>200.\nTherefore the total amount he can take home is 200 x $35 = $<<200*35=7000>>7000.\n#### 7000",
"index": 7434,
"question": "Travis has 10000 apples, and he is planning to sell these apples in boxes. Fifty apples can fit in each box. If ... | [
"Step 1: Calculate the number of boxes Travis can fill with 10,000 apples.\nNumber of boxes = Total apples / Apples per box\nNumber of boxes = 10000 / 50\nNumber of boxes = 200\n\nStep 2: Calculate the total revenue from selling all the boxes.\nRevenue = Number of boxes * Price per box\nRevenue = 200 * 35\nRevenue ... | [
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openai/gsm8k | [
{
"content": "Bogan laid out 10 maggots for her pet beetle. The beetle only ate 1 and Bogan had to throw out the rest. Later that day, she tried feeding again and the beetle ate 3. If Bogan served 20 maggots in total, how many did she attempt to feed the beetle the second time? Let's think step by step and outp... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "Bogan served a total of <<20=20>>20 maggots\nBogan gave the beetles 10 maggots in the first feeding\nBogan gave the beetles 20-10=<<20-10=10>>10 maggots in the second feeding\n#### 10",
"index": 7435,
"question": "Bogan laid out 10 maggots for her pet beetle. The beetle only ate 1 and Bogan had to th... | [
"To determine how many maggots Bogan attempted to feed the beetle the second time, let's break down the problem step by step.\n\n1. **Understanding the first feeding:**\n - Bogan initially laid out 10 maggots.\n - The beetle only ate 1 maggot.\n - Therefore, Bogan had to throw out the remaining 9 maggots.\n\n... | [
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openai/gsm8k | [
{
"content": "The largest room in Mrs. McAvoy's house is 45 feet wide and 30 feet long. The smallest room in that same house is 15 feet wide and 8 feet long. What is the difference in area between the largest room and the smallest room? Let's think step by step and output the final answer after \"####\".",
... | math | {
"ground_truth": "1230",
"style": "rule"
} | {
"answer": "The area of the largest room is 45 ft x 30 ft = <<45*30=1350>>1350 sq ft\nThe area of the smallest room is 15 ft x 8 ft = <<15*8=120>>120 sq ft\nThe difference between the two is 1350 sq ft - 120 sq ft = <<1350-120=1230>>1230 sq ft\n#### 1230",
"index": 7436,
"question": "The largest room in Mrs. McA... | [
"Sure, let's break down the problem step by step.\n\n1. First, we need to find the area of the largest room.\n - The width of the largest room is 45 feet.\n - The length of the largest room is 30 feet.\n - The area of a rectangle is calculated by multiplying the width by the length.\n - So, the area of the ... | [
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openai/gsm8k | [
{
"content": "Michael and Thomas are selling their lego collections. They agree to split any money they earn. They sell them based on how many circles are on top. Each circle costs 1 cent. They earned $5 each after selling 100 single pieces, 45 double pieces, 50 triple pieces and a number of quadruple pieces. H... | math | {
"ground_truth": "165",
"style": "rule"
} | {
"answer": "They made $10 because 2 x 5 = <<2*5=10>>10\nThey made $1 off single pieces because 100 x .01 = <<100*.01=1>>1\nThey made $.9 off double pieces because 45 x .02 = <<45*.02=.9>>.9\nThey made $1.5 off triple pieces because 50 x .03 = <<50*.03=1.5>>1.5\nThey earned $3.4 off the first three types because 1 + ... | [
"To solve this problem, we need to calculate the total earnings from selling the single pieces, double pieces, and triple pieces, then distribute the remaining money equally as if it were from quadruple pieces. \n\nFirst, let's break down the earnings from the single, double, and triple pieces:\n- Single pieces: 10... | [
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openai/gsm8k | [
{
"content": "Logan makes $65,000 a year. He spends $20,000 on rent every year, $5000 on groceries every year, and $8000 on gas every year. If he wants to have at least $42000 left, how much more money must he make each year? Let's think step by step and output the final answer after \"####\".",
"role": "us... | math | {
"ground_truth": "10000",
"style": "rule"
} | {
"answer": "Logan spends 20000+5000+8000 = <<20000+5000+8000=33000>>33000 a year.\nLogan has 65000-33000 = <<65000-33000=32000>>32000 left a year.\nLogan needs to make 42000-32000 = <<42000-32000=10000>>10000 more a year.\n#### 10,000",
"index": 7438,
"question": "Logan makes $65,000 a year. He spends $20,000 on... | [
"To determine how much more money Logan needs to make each year in order to have at least $42,000 left after paying his fixed expenses, let's go through the calculations step by step:\n\n### Step 1: Calculate Logan's total annual expenses\n- **Rent**: $20,000\n- **Groceries**: $5,000\n- **Gas**: $8,000\n\nTotal ann... | [
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openai/gsm8k | [
{
"content": "Of 96 oranges, half were ripe. If 1/4 of the ripe oranges were eaten and 1/8 of the unripe oranges were eaten, how many were left eaten in total? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "78",
"style": "rule"
} | {
"answer": "There were 96/2 = <<96/2=48>>48 ripe oranges.\n48/4 = <<48/4=12>>12 ripe oranges were eaten.\n48/8 = <<48/8=6>>6 unripe oranges were eaten.\nThere were 12+6 = <<12+6=18>>18 oranges eaten in total.\nThere were 96-18 = <<96-18=78>>78 oranges left uneaten.\n#### 78",
"index": 7439,
"question": "Of 96 or... | [
"First, we'll calculate the number of ripe oranges:\n- Total number of oranges: 96.\n- Half were ripe, so ripe oranges = \\(96 \\div 2 = 48\\).\n\nNext, we'll calculate how many ripe oranges were eaten:\n- 1/4 of the ripe oranges were eaten, so eaten ripe oranges = \\(48 \\times \\frac{1}{4} = 12\\).\n\nNow, we'll ... | [
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openai/gsm8k | [
{
"content": "Baking in batches of 65 cupcakes, Carla made 45 batches of cupcakes for her daughter's birthday party. She then took 5 cupcakes from each batch, and fed them to her dogs. If Carla's daughter had 19 friends and they shared the remaining cupcakes equally among them, including the daughter, calculate... | math | {
"ground_truth": "135",
"style": "rule"
} | {
"answer": "If Carla sampled 5 cupcakes from each batch and fed them to her dogs, each batch had 65-5 = 60 cupcakes afterwards.\nSince Carla made 45 batches of cupcakes for her daughter's birthday party, after removing the 5 cupcakes from each batch, Carla's daughter and her friends received 45*60 = <<45*60=2700>>27... | [
"To solve this problem, let's break down the steps:\n\n1. **Calculate the total number of cupcakes making for the parties:**\n \\[\n \\text{Total cupcakes} = \\text{Number of batches} \\times \\text{Cupcakes per batch}\n \\]\n \\[\n \\text{Total cupcakes} = 45 \\times 65\n \\]\n\n2. **Calculate how many... | [
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openai/gsm8k | [
{
"content": "Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did they draw altogether? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "41",
"style": "rule"
} | {
"answer": "Peter drew 5+3 = <<5+3=8>>8 pictures.\nQuincy drew 20+8 = <<20+8=28>>28 pictures.\nAltogether they drew 5+8+28 = <<5+8+28=41>>41 pictures\n#### 41",
"index": 7441,
"question": "Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did... | [
"To find out how many pictures they drew altogether, let's break down the problem step by step:\n\n1. Randy drew 5 pictures.\n2. Peter drew 3 more pictures than Randy. So, Peter drew \\(5 + 3 = 8\\) pictures.\n3. Quincy drew 20 more pictures than Peter. So, Quincy drew \\(8 + 20 = 28\\) pictures.\n4. Now, we add up... | [
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openai/gsm8k | [
{
"content": "Sally teaches elementary school and is given $320 to spend on books for her students. A reading book costs $12 and there are 30 students in her class. Unfortunately, if the money she is given by the school to pay for books is not sufficient, she will need to pay the rest out of pocket. How much mo... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"answer": "To purchase a book for each student, Sally needs: 30 x $12 = $<<30*12=360>>360.\nShe thus needs to pay $360 - $320 = $<<360-320=40>>40 out of pocket.\n#### 40",
"index": 7442,
"question": "Sally teaches elementary school and is given $320 to spend on books for her students. A reading book costs $12 a... | [
"To determine how much money Sally needs to pay out of pocket, let's break down the problem step by step.\n\n1. First, we calculate the total cost of buying one reading book for every student. Since there are 30 students, and each reading book costs $12, the total cost is:\n\\[ 30 \\text{ students} \\times \\$12 \\... | [
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openai/gsm8k | [
{
"content": "Harry is 50 years old. His father is currently 24 years older than he is. How old was his mother when she gave birth to him if she is younger than his father by 1/25 of Harry's current age? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "22",
"style": "rule"
} | {
"answer": "Harry's father is 50 years + 24 years = <<50+24=74>>74 years old.\nHarry's mother is 1/25 * 50 years = <<1/25*50=2>>2 years younger than his father.\nSo she is currently 74 years - 2 years = <<74-2=72>>72 years old.\nSo when Harry was born, she was 72 years - 50 years = <<72-50=22>>22 years old.\n#### 22... | [
"1. Calculate Harry's father's current age.\n Harry is 50 years old, and his father is 24 years older than him.\n \\[\n \\text{Father's current age} = 50 + 24 = 74\n \\]\n\n2. Determine how old Harry's mother was when she gave birth to him.\n Harry's mother is younger than his father by 1/25 of Harry's cu... | [
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openai/gsm8k | [
{
"content": "Mark does a gig every other day for 2 weeks. For each gig, he plays 3 songs. 2 of the songs are 5 minutes long and the last song is twice that long. How many minutes did he play? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "280",
"style": "rule"
} | {
"answer": "He played 7*2 = <<7*2=14>>14 gigs\nThe long song was 5*2=<<5*2=10>>10 minutes\nSo all the gigs were 5+5+10=<<5+5+10=20>>20 minutes\nSo he played 14*20=140 minutes\n#### 280",
"index": 7444,
"question": "Mark does a gig every other day for 2 weeks. For each gig, he plays 3 songs. 2 of the songs are ... | [
"To solve this problem, let's break it down step by step:\n\n1. **Determine the number of gigs Mark does in 2 weeks:**\n - There are 7 days in a week.\n - Mark does one gig every other day.\n - In 2 weeks, there are a total of \\( 2 \\times 7 = 14 \\) days.\n - Half of these days will be gigs (since he does... | [
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openai/gsm8k | [
{
"content": "There were 50 people on the city bus. At the first stop, 15 people got off. At the next stop 8 people got off and 2 got on. At the third stop, 4 people got off and 3 people got on. How many people are on the bus after the third stop? Let's think step by step and output the final answer after \"###... | math | {
"ground_truth": "28",
"style": "rule"
} | {
"answer": "The bus started with 50 people – 15 who got off at the first stop = <<50-15=35>>35 people on the bus.\nAt the second stop, 35 people on the bus – 8 who got off = <<35-8=27>>27 people.\nThen there were 27 people + 2 who got on = <<27+2=29>>29 people on the bus.\nAt the third stop, 29 people on the bus – 4... | [
"Here's the step-by-step process to find out how many people are on the bus after the third stop:\n\n1. Initially, there are 50 people on the bus.\n2. At the first stop, 15 people get off. This reduces the number of people on the bus: \\(50 - 15 = 35\\).\n3. At the second stop, 8 people get off and 2 people get on.... | [
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openai/gsm8k | [
{
"content": "In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students? Let's thin... | math | {
"ground_truth": "52",
"style": "rule"
} | {
"answer": "The students are divided into 3 + 2 = <<3+2=5>>5 parts where 3 parts are for males and 2 parts are for females.\nEach part represents 1000/5 = <<1000/5=200>>200 students.\nSo, there are 3 x 200 = <<3*200=600>>600 males.\nAnd there are 2 x 200 = <<2*200=400>>400 females.\nHence, 600 x 2/3 = 400 males play... | [
"To solve this problem, we'll need to account for the number of males and females, the fraction of each group that likes basketball, and the total number of students. Let's break it down step by step.\n\n1. **Determine the number of males and females:**\n - The ratio of males to females is 3:2.\n - The total nu... | [
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openai/gsm8k | [
{
"content": "There are 15 cats in a shelter. One-third were adopted, and were replaced with twice the amount that were adopted. Later on, twice as many dogs showed up as there are cats. How many total animals are there in the shelter? Let's think step by step and output the final answer after \"####\".",
"... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "15/3=<<15/3=5>>5 cats were adopted out of 15\nThere were 15-5 = <<15-5=10>>10 cats left\n5*2=<<5*2=10>>10 more cats were added.\nThis makes 10+10=<<10+10=20>>20 cats in the shelter.\n20*2=<<20*2=40>>40 dogs came into the shelter.\nThere are now 20+40=<<20+40=60>>60 animals in the shelter.\n#### 60",
"i... | [
"Alright, let's think through this step by step:\n\n1) Start with 15 cats.\n\n2) One-third were adopted:\n 15 * 1/3 = 5 cats were adopted.\n\n3) These 5 cats were replaced with twice their number:\n 5 * 2 = 10 new cats were added.\n Total cats after adoption: 15 - 5 + 10 = 20 cats.\n\n4) Then, two times as ma... | [
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openai/gsm8k | [
{
"content": "A department store displays a 20% discount on all fixtures. What will be the new price of a 25 cm high bedside lamp that was worth $120? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "96",
"style": "rule"
} | {
"answer": "The amount of the discount is $120 x 0.2 = $<<120*0.2=24>>24.\nThe new price will be $120 – $24 = $<<120-24=96>>96.\n#### 96",
"index": 7448,
"question": "A department store displays a 20% discount on all fixtures. What will be the new price of a 25 cm high bedside lamp that was worth $120?",
"spli... | [
"1. The original price of the bedside lamp is $120.\n2. The discount is 20%, so we need to calculate 20% of $120.\n \\[\n \\text{Discount} = \\frac{20}{100} \\times 120 = 0.20 \\times 120 = 24\n \\]\n3. The new price after applying the discount is:\n \\[\n \\text{New Price} = \\text{Original Price} - \\te... | [
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openai/gsm8k | [
{
"content": "Mr. Rainwater has some goats, 9 cows and some chickens. He has 4 times as many goats as cows and 2 times as many goats as chickens. How many chickens does he have? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "18",
"style": "rule"
} | {
"answer": "Let X be the number of chickens Mr. Rainwater has. He has 4 goats/cow * 9 cows = <<4*9=36>>36 goats on his farm.\nSo he has 36 goats / 2 goats/chicken = <<36/2=18>>18 chickens.\n#### 18",
"index": 7449,
"question": "Mr. Rainwater has some goats, 9 cows and some chickens. He has 4 times as many goats ... | [
"Let's start by setting up our problem using variables:\n- Let \\( G \\) represent the number of goats.\n- Let \\( C \\) represent the number of cows.\n- Let \\( H \\) represent the number of chickens.\n\nWe are given the following information:\n1. Mr. Rainwater has 4 times as many goats as cows, so \\( G = 4C \\).... | [
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openai/gsm8k | [
{
"content": "At camp Wonka, there are 96 campers. Two-thirds of the campers are boys, and the remaining one-third are girls. 50% of the boys want to toast marshmallows and 75% of the girls want to toast marshmallows. If each camper gets one marshmallow to toast, how many marshmallows do they need? Let's thi... | math | {
"ground_truth": "56",
"style": "rule"
} | {
"answer": "The girls make up one-third of the campers, so there are 96 /3 = <<96/3=32>>32 girls.\nThe boys make up two-thirds of the campers, so there are 32 + 32 = <<32+32=64>>64 boys.\nThere are 32 x 75% = <<32*75*.01=24>>24 girls who want to toast marshmallows.\nThere are 64 x 50% = <<64*50*.01=32>>32 boys who w... | [
"To determine the total number of marshmallows needed at Camp Wonka, let's first break down the problem step by step:\n\n1. Total campers: 96\n2. Two-thirds of the campers are boys: \n\\[ \\text{Number of boys} = \\frac{2}{3} \\times 96 = 64 \\]\n3. The remaining one-third are girls:\n\\[ \\text{Number of girls} = ... | [
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openai/gsm8k | [
{
"content": "A factory decides to stop making cars and start making motorcycles instead. When it made cars, per month, it cost $100 for materials, they could make 4 cars, and they sold each car for $50. Now that they make motorcycles it costs $250 for materials, but they sell 8 of them for $50 each. How much m... | math | {
"ground_truth": "50",
"style": "rule"
} | {
"answer": "They sold $200 worth of cars each month because 4 x 50 = <<4*50=200>>200\nThey made $100 a month off cars because 200 - 100 = <<200-100=100>>100\nThey sold $400 worth of motorcycles each month because 8 x 50 = <<8*50=400>>400\nThey make $150 a month off motorcycles because 400 - 250 = <<400-250=150>>150\... | [
"To determine how much more profit the factory makes per month selling motorcycles instead of cars, we need to calculate the profit for both scenarios and then find the difference.\n\n### Profit Calculation for Cars\n\n1. **Cost for materials**: $100\n2. **Number of cars made**: 4\n3. **Price per car**: $50\n4. **T... | [
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openai/gsm8k | [
{
"content": "Gwen received a $900 bonus at work and decided to invest this money in the stock market. She spent one-third of her bonus on stock A, one-third on stock B, and the remaining one-third on stock C. After one year, stock A and stock B had doubled in value, while stock C had lost half of its value.... | math | {
"ground_truth": "1350",
"style": "rule"
} | {
"answer": "One-third of her bonus was $900/3 = $<<900/3=300>>300.\nAfter one year, stock A doubled in value and was worth $300*2 = $<<300*2=600>>600.\nAfter one year, stock B doubled in value and was worth $300*2 = $<<300*2=600>>600.\nAfter one year, stock C had lost half its value and was worth $300/2 = $<<300/2=1... | [
"First, let's determine the amount Gwen initially invested in each stock. Since her $900 bonus was split into thirds, we calculate:\n\n\\[\n\\text{Amount invested in each stock} = \\frac{\\$900}{3} = \\$300\n\\]\n\nNow, let's calculate the value of each stock after one year:\n\n1. **Stock A:**\n - Initial investm... | [
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openai/gsm8k | [
{
"content": "James and John combine their friends lists. James has 75 friends. John has 3 times as many friends as James. They share 25 friends. How many people are on the combined list? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "275",
"style": "rule"
} | {
"answer": "John has 75*3=<<75*3=225>>225 people on his friends list\nSo that means there are 225+75=<<225+75=300>>300 people on the list\nSo once you remove duplicates there are 300-25=<<300-25=275>>275 people\n#### 275",
"index": 7453,
"question": "James and John combine their friends lists. James has 75 frie... | [
"#### 165",
"First, we calculate the number of friends John has:\n\\[\n\\text{John's friends} = 3 \\times \\text{James's friends} = 3 \\times 75 = 225\n\\]\nNext, we find the total number of friends when both James and John's friends are combined:\n\\[\n\\text{Total friends} = \\text{James's friends} + \\text{Joh... | [
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openai/gsm8k | [
{
"content": "It takes Jennifer 20 minutes to groom each of her 2 long hair dachshunds. If she grooms her dogs every day, how many hours does she spend grooming her dogs in 30 days? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "She has 2 dogs and it takes 20 minutes to groom just 1 dog so it takes her 2*20 = <<2*20=40>>40 minutes per day to groom 2 dogs\nIn 30 days, she will have spent 30*40 = <<30*40=1200>>1,200 minutes grooming her dogs\nThere are 60 minutes in an hour so she spends 1200/60 = <<1200/60=20>>20 hours grooming h... | [
"### Step-by-Step Solution\n\n1. **Calculate the Total Time Jennifer Grooms One Dog:**\n - It takes Jennifer 20 minutes to groom one dog.\n - She has 2 dogs.\n\n \\[\n 20 \\text{ minutes/dog} \\times 2 \\text{ dogs} = 40 \\text{ minutes}\n \\]\n\n2. **Calculate the Total Time Jennifer Grooms All Dogs in O... | [
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openai/gsm8k | [
{
"content": "Jim decides to open up a bike shop. The most common repair he does is fixing bike tires. He charges $20 for this and it cost him $5 in parts. In one month Jim does 300 of these repairs. He also does 2 more complex repairs for $300 each and cost $50 in parts. He also sells $2000 profit worth o... | math | {
"ground_truth": "3000",
"style": "rule"
} | {
"answer": "From each tire repair, he made 20-5=$<<20-5=15>>15 profit\nSo repairs made him a profit of 15*300=$<<15*300=4500>>4500\nThe two complex repairs each made him 300-50=$<<300-50=250>>250 profit\nSo those added 250*2=$<<250*2=500>>500\nSo his total profit from everything was 4500+500+2000=$<<4500+500+2000=70... | [
"Jim's profit from fixing bike tires:\n- Revenue from tire repair: 300 repairs * $20 = $6000\n- Cost of parts for tire repair: 300 repairs * $5 = $1500\n- Profit from tire repair: $6000 - $1500 = $4500\n\nJim's profit from complex repairs:\n- Revenue from complex repairs: 2 repairs * $300 = $600\n- Cost of parts fo... | [
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openai/gsm8k | [
{
"content": "Mary went to the store to buy fruit. Apples cost $1, oranges cost $2, and bananas cost $3. For every 5 fruits that customers buy, the store offers a $1 discount. Mary buys 5 apples, 3 oranges, and 2 bananas. How much will she pay? Let's think step by step and output the final answer after \"####\"... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "For 5 apples, Mary will pay 5*1= <<5*1=5>>5 dollars.\nFor 3 oranges, she will pay 3*2= <<3*2=6>>6 dollars.\nFor 2 bananas, she will pay 2*3 = <<2*3=6>>6 dollars.\nShe bought 5+3+2=<<5+3+2=10>>10 fruits\nFor 10 fruits, Mary gets a discount of 10/5 = <<10/5=2>>2 dollars.\nIn total, the bill is 5 + 6 + 6 = ... | [
"First, let's calculate the total cost of each type of fruit Mary buys:\n\n1. Apples: 5 apples x $1/apples = $5\n2. Oranges: 3 oranges x $2/orange = $6\n3. Bananas: 2 bananas x $3/banana = $6\n\nNext, let's add up the total cost before any discounts:\n\nTotal cost = Cost of apples + Cost of oranges + Cost of banana... | [
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openai/gsm8k | [
{
"content": "Mark deposited $88 in a bank. Bryan deposited $40 less than five times as much as Mark. How much did Mark deposit in the bank? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "400",
"style": "rule"
} | {
"answer": "Five times the amount Mark deposited is $88 x 5 = $<<88*5=440>>440.\nSo, Mark deposited $440 - $40 = $<<440-40=400>>400.\n#### 400",
"index": 7457,
"question": "Mark deposited $88 in a bank. Bryan deposited $40 less than five times as much as Mark. How much did Mark deposit in the bank?",
"split": ... | [
"To determine how much Mark deposited, we need to follow these steps:\n\n1. Start with the amount Mark deposited, which is given as $88.\n2. Since Bryan deposited $40 less than five times as much as Mark, we need to calculate five times Mark's deposit and then subtract $40 from that value.\n3. Add this final amount... | [
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openai/gsm8k | [
{
"content": "Polly and Gerald went for a fun afternoon riding mini race cars at the munchkin track, which is a one-quarter mile circular track. Polly managed to circle the track 12 times in one half hour, but Gerald's car was malfunctioning, and he only moved at an average speed half of what Polly did. What s... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "Polly circled the one-quarter mile track 12 times in 0.5 hours at a speed of 12/0.5=24 circuits of the track per hour.\n24/4 = <<24/4=6>>6 miles per hour\nGerald traveled at a speed half of what Polly traveled for an average speed of 6/2=<<6/2=3>>3 miles per hour.\n#### 3",
"index": 7458,
"question":... | [
"To find the average speed Gerald's car had, we first need to determine how far Polly went and then use Gerald's speed compared to Polly's to calculate his speed.\n\n1. One-quarter mile is equivalent to 0.25 miles since the track is one-quarter mile.\n\nPolly circled the track 12 times in one half hour (30 minutes)... | [
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openai/gsm8k | [
{
"content": "Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "500",
"style": "rule"
} | {
"answer": "Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount.\n25% of the original amount = (25/100)*original amount = $125\nMultiplying both sides by (100/25) gives: original amount = (100/25)*$125 = $<<(100/25)*125=500>>500\n#### 500",
"index": 7459,
... | [
"To determine how much Mathilda originally owed, let's break down the problem step by step:\n\n1. **Understanding the Given Information:**\n - Mathilda paid an initial installment of $125.\n - She still has 75% left to pay.\n\n2. **Setting Up Equations:**\n Let \\( x \\) be the total amount Mathilda owed orig... | [
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openai/gsm8k | [
{
"content": "A school is adding 5 rows of seats to the auditorium. Each row has 8 seats and each seat costs $30. A parent, being a seat manufacturer, offered a 10% discount on each group of 10 seats purchased. How much will the school pay for the new seats? Let's think step by step and output the final answer ... | math | {
"ground_truth": "1080",
"style": "rule"
} | {
"answer": "Ten seats amount to $30 x 10 = $<<30*10=300>>300.\nSo there is $300 x 10/100 = $<<300*10/100=30>>30 discount for each 10 seats purchased.\nThus, the total cost for every 10 seats is $300 - $30 = $<<300-30=270>>270.\nThe school is going to buy 5 x 8 = <<5*8=40>>40 seats.\nThis means that the school is goi... | [
"To determine the total cost the school will pay for the new seats, let's break down the problem step by step:\n\n1. **Calculate the number of seats in the auditorium after adding the new rows:**\n\n - The original number of rows in the auditorium: 5\n - Number of new rows added: 5\n - Total number of rows: \... | [
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openai/gsm8k | [
{
"content": "Christi saw twice as many black bears as white bears and 40 more brown bears than black bears in a national park. If the number of black bears in the park is 60, calculate the population of bears in the park. Let's think step by step and output the final answer after \"####\".",
"role": "user"... | math | {
"ground_truth": "190",
"style": "rule"
} | {
"answer": "If there are 60 black bears in the park and 40 more brown bears than black bears, there are 60+40 = <<60+40=100>>100 brown bears.\nThe number of black and brown bears in the park is 100+60 = <<100+60=160>>160\nTwice the number of black bears as white bears means 60/2 = <<60/2=30>>30 white bears.\nThe pop... | [
"Let's break this down step by step:\n\n1. If the number of black bears is 60, then the number of white bears is half, because Christi saw twice as many black bears as white bears.\n2. To find the number of white bears:\n \\( \\text{Number of white bears} = \\frac{\\text{Number of black bears}}{2} = \\frac{60}{2}... | [
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openai/gsm8k | [
{
"content": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 gold bars were lost on the way back to San Diego, how many gold bars will each of his 4 friends get when he returns? Let's think step by step and output the final answer after \"###... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "He only has 100 - 20 = <<100-20=80>>80 gold bars after losing 20 of them.\nHe then gives each of his friends 80 ÷ 4 = <<80/4=20>>20 gold bars.\n#### 20",
"index": 7462,
"question": "Steve finds 100 gold bars while visiting Oregon. He wants to distribute his gold bars evenly to his 4 friends. If 20 go... | [
"To determine how many gold bars each of Steve's 4 friends will get when he returns after having 100 gold bars initially plus 20 lost, we can follow these steps:\n\n1. **Calculate the total initial number of gold bars:**\n \\[\n \\text{Total gold bars} = 100 \\text{ gold bars} + 20 \\text{ lost gold bars}\n \... | [
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openai/gsm8k | [
{
"content": "An office has 90 workers. 2/3rds of them are men and the rest are women. The company hires 10 new employees and 100% of them are women. What is the total percentage of women in the company now? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "40",
"style": "rule"
} | {
"answer": "1/3rd of the workers before the new hires were women because 1 - (2/3) = 1/3\nThere were 30 women working for the company before the new hires\nThere are now 40 women working for the company because 30 + 10 = <<30+10=40>>40\nThere are 100 people working for the company because 90 + 10 = <<90+10=100>>100\... | [
"First, let's determine the number of men and women in the original office:\n\n1. Total number of workers = 90\n2. 2/3 of them are men, so the number of men = 2/3 * 90 = 60 men\n3. The rest are women, so the number of women = 90 - 60 = 30 women\n\nNext, let's find the new total number of workers after hiring more e... | [
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openai/gsm8k | [
{
"content": "Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck? Let's think step by step and output th... | math | {
"ground_truth": "237600",
"style": "rule"
} | {
"answer": "She has 108 * 4 = <<108*4=432>>432 ears of corn to shuck.\nShe gets 500 kernels of corn from half the ears and 500 + 100 = <<500+100=600>>600 kernels from the other half.\nHalf the number of ears of corn is 432 / 2 = <<432/2=216>>216 ears.\nThus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = <<216... | [
"To find out how many kernels of corn Hilary has to shuck, we'll break the problem down step by step:\n\n1. **Calculate Total Ears of Corn:**\n Hilary gets 4 ears of corn per stalk, and there are 108 stalks:\n \\[\n 4 \\times 108 = 432 \\text{ ears of corn in total}\n \\]\n\n2. **Identify Corn Pods:**\n E... | [
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openai/gsm8k | [
{
"content": "James decides to bulk up. He weighs 120 kg and gains 20% of his body weight in muscle and 1 quarter that much in fat. How much does he weigh now? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "150",
"style": "rule"
} | {
"answer": "He gains 120*.2=<<120*.2=24>>24 kg in muscles\nSo he gains 24/4=<<24/4=6>>6 kg of fat\nThat means he gains a total of 24+6=<<24+6=30>>30 kg of bodyweight\nSo his new body weight is 120+30=<<120+30=150>>150 kg\n#### 150",
"index": 7465,
"question": "James decides to bulk up. He weighs 120 kg and gain... | [
"To determine James's new weight, we need to break down the problem into smaller steps and calculate accordingly:\n\n1. **Initial Weight**: James weighs 120 kg.\n2. **Muscle Gain**: James gains 20% of his body weight in muscle.\n - Calculation: \\( 20\\% \\text{ of } 120 \\text{ kg} = 0.20 \\times 120 \\text{ kg... | [
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openai/gsm8k | [
{
"content": "Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "1040",
"style": "rule"
} | {
"answer": "First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week\nThen find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week\nThen subtract her weekly clarinet spending from her weekly piano spending to find t... | [
"To determine how much more Janet spends on piano lessons than clarinet lessons in a year, we'll follow these steps:\n\n1. **Calculate weekly spending for clarinet lessons:**\n - Hourly rate: $40\n - Hours per week: 3\n \n Weekly spending on clarinet lessons = 40 * 3 = 120 dollars\n\n2. **Calculate weekly s... | [
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openai/gsm8k | [
{
"content": "Roy owns a refrigerated warehouse where he stores produce before selling it at the farmer’s market. The fruits and vegetables he stores are very sensitive to temperature, and he must keep them all cold or they will spoil. One day, the power went out and the air conditioner was turned off for thr... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "At a rate of 8 degrees per hour, in three hours the temperature rose by 3*8=<<3*8=24>>24 degrees.\nAt a rate of 4 degrees per hour, the air conditioner can reduce the temperature 24 degrees in 24/4=6 hours.\n#### 6",
"index": 7467,
"question": "Roy owns a refrigerated warehouse where he stores produc... | [
"The temperature initially rises by 8 degrees every hour, a 3-hour period. We can calculate the total increase in temperature during this time:\n\n\\[ \\text{Increase in temperature} = \\text{Rate of temperature increase} \\times \\text{Time} \\]\n\\[ \\text{Increase in temperature} = 8 \\, \\text{degrees/hour} \\t... | [
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openai/gsm8k | [
{
"content": "Very early this morning, Elise left home in a cab headed for the hospital. Fortunately, the roads were clear, and the cab company only charged her a base price of $3, and $4 for every mile she traveled. If Elise paid a total of $23, how far is the hospital from her house? Let's think step by step ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "For the distance she traveled, Elise paid 23 - 3 = <<23-3=20>>20 dollars\nSince the cost per mile is $4, the distance from Elise’s house to the hospital is 20/4 = <<20/4=5>>5 miles.\n#### 5",
"index": 7468,
"question": "Very early this morning, Elise left home in a cab headed for the hospital. Fortun... | [
"To determine the distance from Elise's house to the hospital, let's set up the problem step by step.\n\n1. **Identify the base fare and the cost per mile:**\n - Base fare: $3\n - Cost per mile: $4\n\n2. **Let \\( x \\) be the number of miles Elise travels.**\n\n3. **Calculate the total fare:**\n \\[\n \\te... | [
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openai/gsm8k | [
{
"content": "Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell them. It costs $1 for supplies for each bracelet and he sells each one for $1.5. If he makes 12 bracelets and after buying the cookies still has $3, how much did the box of cookies cost? Let's think ... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "He makes $.5 profit on each bracelet because 1.5 - 1 = <<1.5-1=.5>>.5\nHe earns $6 because 12 x .5 = <<12*.5=6>>6\nThe cookies cost $3 because 6 - 3 = <<6-3=3>>3\n#### 3",
"index": 7469,
"question": "Josh is saving up for a box of cookies. To raise the money, he is going to make bracelets and sell th... | [
"To determine the cost of the box of cookies, we need to calculate the profit Josh makes from selling the bracelets and then subtract this profit from the amount of money he has after buying the cookies.\n\n1. **Calculate the total cost of supplies:**\n - Each bracelet costs $1 in supplies.\n - Josh makes 12 br... | [
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openai/gsm8k | [
{
"content": "Colin can skip at six times the speed that Brandon can. Brandon can skip at one-third the speed that Tony can. And Tony can skip at twice the speed that Bruce can. At what speed, in miles per hour, can Colin skip if Bruce skips at 1 mile per hour? Let's think step by step and output the final a... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "Tony can skip at twice the speed that Bruce can, for a speed of 1*2=<<1*2=2>>2 miles per hour.\nBrandon can skip at one-third the speed that Tony can, for a speed of 2*(1/3) = 2/3 miles per hour.\nColin can skip at six times the speed that Brandon can, for a speed of (2/3*6=4 miles per hour).\n#### 4",
... | [
"### Step 1: Establish Speed Relationships\n\nGiven:\n- Colin can skip at six times the speed Brandon can\n- Brandon can skip at one-third the speed Tony can\n- Tony can skip at twice the speed Bruce can\n- Bruce skips at 1 mile per hour\n\n### Step 2: Calculate Speeds\n\n1. **Bruce's speed:**\n \\[ \\text{Speed ... | [
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openai/gsm8k | [
{
"content": "Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additional sack lunches, just in case there was a problem. Each sack... | math | {
"ground_truth": "308",
"style": "rule"
} | {
"answer": "Janet needs 35 lunches for the kids + 5 for the chaperones + 1 for herself + 3 extras = <<35+5+1+3=44>>44 lunches.\nEach lunch is $7, so lunch for the field trip costs $7 per lunch * 44 lunches = $<<7*44=308>>308 total\n#### 308",
"index": 7471,
"question": "Janet, a third grade teacher, is picking u... | [
"To determine the total cost of all the sack lunches, we need to follow these steps:\n\n1. Calculate the total number of people (students + chaperones + teacher).\n2. Multiply the total number of people by the cost per lunch.\n3. Add the additional lunches.\n\n**Step 1: Calculate the total number of people.**\n\n- ... | [
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openai/gsm8k | [
{
"content": "At 30, Anika is 4/3 the age of Maddie. What would be their average age in 15 years? Let's think step by step and output the final answer after \"####\".",
"role": "user"
}
] | math | {
"ground_truth": "50",
"style": "rule"
} | {
"answer": "If Anika is 30 now, in 15 years, she'll be 30+15=<<30+15=45>>45 years old.\nAt 30, Anika is 4/3 the age of Maddie, meaning Maddie is 4/3*30=<<4/3*30=40>>40 years.\nIn 15 years, Maddie will be 40+15=<<40+15=55>>55 years old.\nTheir total age in 15 years will be 55+45=<<55+45=100>>100\nTheir average age in... | [
"To find Anika and Maddie's average age in 15 years, let's break down the problem step by step:\n\n1. Anika is currently 30 years old and Maddie is \\( 4/3 \\) times older than Anika.\n\n – Anika's current age: 30\n – Maddie's age: \\( 30 \\times \\frac{4}{3} \\)\n\n2. Calculate Maddie's age:\n\n \\[\n \\te... | [
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