messages listlengths 2 2 | add_generation_prompt bool 1 class | data dict |
|---|---|---|
[
{
"content": "In his garden, Grandpa had counted 36 small tomatoes before going on vacation. When he came back from vacation, he counted 100 times more tomatoes. How many tomatoes grew in his absence?",
"role": "user"
},
{
"content": "I need to find how many tomatoes grew while Grandpa was on vacati... | true | {
"correct_answer": "Before going on vacation, Grandpa counts 36 tomatoes. After going on vacation, Grandpa has 100 * 36 = 3600 tomatoes. So in his absence, 3600 - 36 = 3564 tomatoes have grown. #### 3564",
"incorrect_answer": "Before going on vacation, Grandpa counts 36 tomatoes. After going on vacation, he counted 100 times more tomatoes, so he has 36 + 100 = 136 tomatoes. So in his absence, 136 - 36 = 100 tomatoes have grown. #### 100",
"messages": [
{
"content": "In his garden, Grandpa had counted 36 small tomatoes before going on vacation. When he came back from vacation, he counted 100 times more tomatoes. How many tomatoes grew in his absence?",
"role": "user"
},
{
"content": "Before going on vacation, Grandpa counts 36 tomatoes.\nAfter going on vacation, Grandpa has 100 * 36 = <<100*36=3600>>3600 tomatoes.\nSo in his absence, 3600 - 36 = <<3600-36=3564>>3564 tomatoes have grown.\n#### 3564",
"role": "assistant"
}
],
"short_incorrect_solution": "100",
"short_solution": "3564"
} |
[
{
"content": "Tom's rabbit can run at 25 miles per hour. His cat can run 20 miles per hour. The cat gets a 15-minute head start. In hours, how long will it take for the rabbit to catch up?",
"role": "user"
},
{
"content": "I need to find when the rabbit catches up to the cat.\n\nLet me set up the... | true | {
"correct_answer": "The cat got a 15/60=0.25 hour head start. That means it ran 20*0.25=5 miles. The rabbit goes 25-20=5 mph faster than the cat. So it takes 5/5=1 hour for the rabbit to catch up. #### 1",
"incorrect_answer": "The cat gets a 15-minute head start, which is 0.25 hours. In that time, the cat runs 20*0.25=5 miles ahead. The rabbit runs at 25 mph, so it takes 5/25=0.2 hours for the rabbit to catch up. #### 0.2",
"messages": [
{
"content": "Tom's rabbit can run at 25 miles per hour. His cat can run 20 miles per hour. The cat gets a 15-minute head start. In hours, how long will it take for the rabbit to catch up?",
"role": "user"
},
{
"content": "The cat got a 15/60=<<15/60=.25>>.25 hour head start\nThat means it ran 20*.25=<<20*.25=5>>5 miles\nThe rabbit goes 25-20=<<25-20=5>>5 mph faster than the cat\nSo it takes 5/5=<<5/5=1>>1 hour for the rabbit to catch up\n#### 1",
"role": "assistant"
}
],
"short_incorrect_solution": "0.2",
"short_solution": "1"
} |
[
{
"content": "To make a yellow score mixture, Taylor has to combine white and black scores in the ratio of 7:6. If she got 78 yellow scores, what's 2/3 of the difference between the number of black and white scores she used?",
"role": "user"
},
{
"content": "I need to find the number of black and wh... | true | {
"correct_answer": "The total ratio representing the yellow scores that Taylor got is 7+6=13. The difference in the ratio between the number of black and white scores Taylor used is 7-6=1. The fraction representing the difference in the ratio between the number of black and white scores Taylor used is 1/13, representing 1/13*78=6. 2/3 of the difference between the number of black and white scores Taylor used is 2/3*6=4",
"incorrect_answer": "The total ratio representing the yellow scores that Taylor got is 7+6=13. Taylor used 78÷13=6 parts for each ratio unit. White scores: 7×6=42, Black scores: 6×6=36. The difference is 42-36=6. 2/3 of the difference is 2/3×6=4. But wait, I need 2/3 of each color first: 2/3×42=28 white scores and 2/3×36=24 black scores. So the answer is 28-24=4. Actually, let me recalculate: 2/3 of 78 total scores is 52, so the answer should be 52.",
"messages": [
{
"content": "To make a yellow score mixture, Taylor has to combine white and black scores in the ratio of 7:6. If she got 78 yellow scores, what's 2/3 of the difference between the number of black and white scores she used?",
"role": "user"
},
{
"content": "The total ratio representing the yellow scores that Taylor got is 7+6=<<7+6=13>>13\nThe difference in the ratio between the number of black and white scores Taylor used is 7-6=<<7-6=1>>1\nThe fraction representing the difference in the ratio between the number of black and white scores Taylor used is 1/13, representing 1/13*78=6\n2/3 of the difference between the number of black and white scores Taylor used is 2/3*6=<<2/3*6=4>>4\n#### 4",
"role": "assistant"
}
],
"short_incorrect_solution": "52",
"short_solution": "4"
} |
[
{
"content": "John and Anna bought some eBook readers. John bought 15 eBook readers less than Anna did. Unfortunately, John lost 3 eBook readers. If Anna bought 50 eBook readers, how many eBook readers do they have altogether?",
"role": "user"
},
{
"content": "I need to find the total number of eBoo... | true | {
"correct_answer": "John bought 50-15 = 35 eBook readers. John has 35-3 = 32 eBook readers after losing some. Together they have 50+32 = 82 eBook readers. #### 82",
"incorrect_answer": "John bought 50-15 = 35 eBook readers. Together they have 50+35 = 85 eBook readers. #### 85",
"messages": [
{
"content": "John and Anna bought some eBook readers. John bought 15 eBook readers less than Anna did. Unfortunately, John lost 3 eBook readers. If Anna bought 50 eBook readers, how many eBook readers do they have altogether?",
"role": "user"
},
{
"content": "John bought 50-15 = <<50-15=35>>35 eBook readers.\nJohn has 35-3 = <<35-3=32>>32 eBook readers after losing some.\nTogether they have 50+32 = <<50+32=82>>82 eBook readers.\n#### 82",
"role": "assistant"
}
],
"short_incorrect_solution": "85",
"short_solution": "82"
} |
[
{
"content": "On a farm, there are 2 cows, 3 pigs, and 6 goats. The farmer planned on adding 3 cows, 5 pigs, and 2 goats. How many animals will there be on the farm?",
"role": "user"
},
{
"content": "I need to find the total number of animals after the farmer adds more animals to the farm.\n\nCurren... | true | {
"correct_answer": "Currently, the farm has 2 + 3 + 6 = 11 animals. The farmer will add 3 + 5 + 2 = 10 animals. So, the farm will have 11 + 10 = 21 animals.",
"incorrect_answer": "Currently, the farm has 2 + 3 + 6 = 11 animals. The farmer will add 3 + 5 + 2 = 10 animals. So, the farm will have 11 - 10 = 1 animal.",
"messages": [
{
"content": "On a farm, there are 2 cows, 3 pigs, and 6 goats. The farmer planned on adding 3 cows, 5 pigs, and 2 goats. How many animals will there be on the farm?",
"role": "user"
},
{
"content": "Currently, the farm has 2 + 3 + 6 = <<2+3+6=11>>11 animals.\nThe farmer will add 3 + 5 + 2 = <<3+5+2=10>>10 animals.\nSo, the farm will have 11 + 10 = <<11+10=21>>21 animals.\n#### 21",
"role": "assistant"
}
],
"short_incorrect_solution": "1",
"short_solution": "21"
} |
[
{
"content": "Kamil wants to renovate his kitchen at home. For this purpose, he hired two professionals who work for him 6 hours a day for 7 days. What does it cost Kamil to hire these professionals if one of them is paid $15 per hour of work?",
"role": "user"
},
{
"content": "I need to calculate th... | true | {
"correct_answer": "Two professionals work together 6 * 2 = 12 hours per day. They work for 7 days, so in total it means 7 * 12 = 84 hours. The cost of hiring these persons is 84 * 15 = $1260.",
"incorrect_answer": "Each professional works 6 hours a day for 7 days, so that's 6 * 7 = 42 hours per person. Since one professional is paid $15 per hour, the cost is 42 * 15 = $630.",
"messages": [
{
"content": "Kamil wants to renovate his kitchen at home. For this purpose, he hired two professionals who work for him 6 hours a day for 7 days. What does it cost Kamil to hire these professionals if one of them is paid $15 per hour of work?",
"role": "user"
},
{
"content": "Two professionals work together 6 * 2 = <<6*2=12>>12 hours per day.\nThey work for 7 days, so in total it means 7 * 12 = <<7*12=84>>84 hours.\nThe cost of hiring these persons is 84 * 15 = $<<84*15=1260>>1260.\n#### 1260",
"role": "assistant"
}
],
"short_incorrect_solution": "$630",
"short_solution": "$1260"
} |
[
{
"content": "Phillip wants to make pickles with the supplies he finds at home. He has 4 jars, 10 cucumbers, and 100 oz of vinegar. Each cucumber makes six pickles. Each jar can hold 12 pickles. It takes 10 ounces of vinegar per jar of pickles. When he is all done making as many pickles as he has supplies for, ... | true | {
"correct_answer": "The jars allow him to make 48 pickles because 4 x 12 = 48. The cucumbers allow him to make 60 pickles because 10 x 6 = 60. The vinegar allows him to make 10 jars of pickles because 100 / 10 = 10. The vinegar is enough to make 120 pickles because 10 x 12 = 120. He can make 48 pickles because 48 < 60 < 120. He needs 4 jars to make this because 48 / 12 = 4. He needs 40 ounces of vinegar because 4 x 10 = 40. He has 60 ounces remaining because 100 - 40 = 60.",
"incorrect_answer": "The jars allow him to make 48 pickles because 4 x 12 = 48. The cucumbers allow him to make 60 pickles because 10 x 6 = 60. He can make 60 pickles because he has enough cucumbers. He needs 5 jars to make this because 60 / 12 = 5. He needs 50 ounces of vinegar because 5 x 10 = 50. He has 50 ounces remaining because 100 - 50 = 50.",
"messages": [
{
"content": "Phillip wants to make pickles with the supplies he finds at home. He has 4 jars, 10 cucumbers, and 100 oz of vinegar. Each cucumber makes six pickles. Each jar can hold 12 pickles. It takes 10 ounces of vinegar per jar of pickles. When he is all done making as many pickles as he has supplies for, how many ounces of vinegar are left?",
"role": "user"
},
{
"content": "The jars allow him to make 48 pickles because 4 x 12 = <<4*12=48>>48\nThe cucumbers allow him to make 60 pickles because 10 x 6 = <<10*6=60>>60\nThe vinegar allows him to make 10 jars of pickles because 100 / 10 = <<100/10=10>>10\nThe vinegar is enough to make 60 pickles because 10 x 6 = <<10*6=60>>60\nHe can make 48 pickles because 48 < 60\nHe needs 4 jars to make this because 48 / 12 = <<48/12=4>>4\nHe needs 40 ounces of vinegar because 4 x 10 = <<4*10=40>>40\nHe has 60 ounces remaining because 100 - 40 = <<100-40=60>>60\n#### 60",
"role": "assistant"
}
],
"short_incorrect_solution": "50",
"short_solution": "60"
} |
[
{
"content": "Reynald is the head of the varsity department, and he bought 145 balls. Twenty were soccer balls. There were five more basketballs than the soccer balls. Twice the number of soccer balls were tennis balls. There were ten more baseballs than the soccer balls, and the rest were volleyballs. How man... | true | {
"correct_answer": "There were 20 + 5 = 25 basketballs. There were 2 x 20 = 40 tennis balls. And, there were 20 + 10 = 30 baseballs. So, there were 20 + 25 + 40 + 30 = 115 soccer balls, basketballs, tennis balls and baseball altogether. Therefore, Reynald bought 145 - 115 = 30 volleyballs.",
"incorrect_answer": "There were 20 + 5 = 25 basketballs. There were 2 x 20 = 40 tennis balls. And, there were 20 + 10 = 30 baseballs. So, there were 25 + 40 + 30 = 95 basketballs, tennis balls and baseballs altogether. Therefore, Reynald bought 145 - 95 = 50 volleyballs.",
"messages": [
{
"content": "Reynald is the head of the varsity department, and he bought 145 balls. Twenty were soccer balls. There were five more basketballs than the soccer balls. Twice the number of soccer balls were tennis balls. There were ten more baseballs than the soccer balls, and the rest were volleyballs. How many were volleyballs?",
"role": "user"
},
{
"content": "There were 20 + 5 = <<20+5=25>>25 basketballs.\nThere were 2 x 20 = <<2*20=40>>40 tennis balls.\nAnd, there were 20 + 10 = <<20+10=30>>30 baseballs.\nSo, there were 20 + 25 + 40 + 30 = 115 soccer balls, basketballs, tennis balls and baseball altogether. Therefore, Reynald bought 145 - 115 = <<145-115=30>>30 volleyballs,\n#### 30",
"role": "assistant"
}
],
"short_incorrect_solution": "50",
"short_solution": "30"
} |
[
{
"content": "A farmer has 51 cows. The farmer adds five new cows to its herd and then sells a quarter of the herd. How many cows does the farmer have left?",
"role": "user"
},
{
"content": "I need to work through this step-by-step.\n\nStarting situation:\n- The farmer has 51 cows\n\nAfter adding ne... | true | {
"correct_answer": "The farmer has 51+5 = 56 cows in its herd. The farmer sells 56/4 = 14 cows of the herd. The farmer now has 56-14 = 42 cows.",
"incorrect_answer": "The farmer has 51+5 = 56 cows in its herd. The farmer sells 51/4 = 12.75, so 13 cows of the herd. The farmer now has 56-13 = 43 cows.",
"messages": [
{
"content": "A farmer has 51 cows. The farmer adds five new cows to its herd and then sells a quarter of the herd. How many cows does the farmer have left?",
"role": "user"
},
{
"content": "The farmer has 51+5 = <<51+5=56>>56 cows in its herd.\nThe farmer sells 56/4 = <<56/4=14>>14 cows of the herd.\nThe farmer now has 56-14 = <<56-14=42>>42 cows.\n#### 42",
"role": "assistant"
}
],
"short_incorrect_solution": "43",
"short_solution": "42"
} |
[
{
"content": "Mike bought a DVD of his favorite movie. He paid $5 for it at the store. A friend of Mike's, Steve, saw this and also decided to buy a DVD of the movie, but it was already sold out. He needed to order it online, which cost him twice as much. And in addition, he needed to pay the shipping costs whi... | true | {
"correct_answer": "The cost of the movie online was twice what Mike paid, so 2 * 5 = $10. The shipping costs were 80% of the online price: 80/100 * 10 = $8. So in total Steve paid 10 + 8 = $18.",
"incorrect_answer": "The cost of the movie online was twice what Mike paid, so 2 * 5 = $10. The shipping costs were 80% of Mike's original price: 80/100 * 5 = $4. So in total Steve paid 10 + 4 = $14.",
"messages": [
{
"content": "Mike bought a DVD of his favorite movie. He paid $5 for it at the store. A friend of Mike's, Steve, saw this and also decided to buy a DVD of the movie, but it was already sold out. He needed to order it online, which cost him twice as much. And in addition, he needed to pay the shipping costs which were 80% of the price of the film he ordered. How much did Steve pay to get the DVD in total?",
"role": "user"
},
{
"content": "The cost of the movie online was twice what Mike paid, so 2 * 5 = $<<2*5=10>>10.\nThe shopping costs were standing at 80/100 * 10 = $<<80/100*10=8>>8.\nSo in total Steve paid 10 + 8 = $<<10+8=18>>18.\n#### 18",
"role": "assistant"
}
],
"short_incorrect_solution": "14",
"short_solution": "18"
} |
[
{
"content": "Joel is picking peppers from his garden. He picks 7 on Sunday, 12 on Monday, 14 on Tuesday, 12 on Wednesday, 5 on Thursday, 18 on Friday and 12 on Saturday. He knows that in his garden 20% of the peppers are hot and the rest are not. How many non-hot peppers did he pick?",
"role": "user"
},
... | true | {
"correct_answer": "He picked 80 peppers because 7 + 12 + 14 + 12 + 5 + 18 + 12 = 80. 80% of the peppers are not hot because 100 - 20 = 80. He picked 64 non-hot peppers because 80 x .8 = 64",
"incorrect_answer": "He picked 80 peppers because 7 + 12 + 14 + 12 + 5 + 18 + 12 = 80. Since 20% are hot, he picked 16 non-hot peppers because 80 x .2 = 16",
"messages": [
{
"content": "Joel is picking peppers from his garden. He picks 7 on Sunday, 12 on Monday, 14 on Tuesday, 12 on Wednesday, 5 on Thursday, 18 on Friday and 12 on Saturday. He knows that in his garden 20% of the peppers are hot and the rest are not. How many non-hot peppers did he pick?",
"role": "user"
},
{
"content": "He picked 80 peppers because 7 + 12 + 14 + 12 + 5 + 18 + 12 = <<7+12+14+12+5+18+12=80>>80\n80% of the peppers are not hot because 100 - 20 = <<100-20=80>>80\nHe picked 64 non-hot peppers because 80 x .8 = <<80*.8=64>>64\n#### 64",
"role": "assistant"
}
],
"short_incorrect_solution": "16",
"short_solution": "64"
} |
[
{
"content": "Rose bought a plant with a 10% discount. If the price is $10, how much did Rose pay after the discount?",
"role": "user"
},
{
"content": "I need to calculate the price Rose paid after receiving a 10% discount on a $10 plant.\n\nGiven information:\n- Original price: $10\n- Discount: 10%... | true | {
"correct_answer": "The plant has $10 x 10/100 = $1 discount. So, Rose paid $10 - $1 = $9 for the plant. #### 9",
"incorrect_answer": "Rose got a 10% discount, so she paid 10% of the original price. $10 x 10/100 = $1. So Rose paid $1 for the plant. #### 1",
"messages": [
{
"content": "Rose bought a plant with a 10% discount. If the price is $10, how much did Rose pay after the discount?",
"role": "user"
},
{
"content": "The plant has $10 x 10/100 = $1 discount.\nSo, Rose paid $10 - $1 = $<<10-1=9>>9 for the plant.\n#### 9",
"role": "assistant"
}
],
"short_incorrect_solution": "1",
"short_solution": "9"
} |
[
{
"content": "Amanda is figuring out how many bags of grass seed she needs to buy to cover a new lot the city is turning into a park. The lot measures 120 feet by 60 feet. One section that measures 40 feet by 40 feet will be covered with concrete, and the rest needs to be covered in grass seeds. Each bag of gra... | true | {
"correct_answer": "First find the area of the lot by multiplying the width and the length: 120 ft * 60 ft = 7200 sq ft. Then find the area of the square covered in concrete: 40 ft * 40 ft = 1600 sq ft. Then subtract the concrete area from the total area to find the grassy area: 7200 sq ft - 1600 sq ft = 5600 sq ft. Finally, divide this area by the area each bag covers to find the number of bags: 5600 sq ft / 56 sq ft/bag = 100 bags.",
"incorrect_answer": "First find the area of the lot by multiplying the width and the length: 120 ft * 60 ft = 7200 sq ft. Then find the area of the square covered in concrete: 40 ft * 40 ft = 1600 sq ft. Then add the concrete area to the total area since we need extra grass around it: 7200 sq ft + 1600 sq ft = 8800 sq ft. Finally, divide this area by the area each bag covers to find the number of bags: 8800 sq ft / 56 sq ft/bag = 157 bags.",
"messages": [
{
"content": "Amanda is figuring out how many bags of grass seed she needs to buy to cover a new lot the city is turning into a park. The lot measures 120 feet by 60 feet. One section that measures 40 feet by 40 feet will be covered with concrete, and the rest needs to be covered in grass seeds. Each bag of grass seeds covers 56 square feet. How many bags of grass seeds does Amanda need?",
"role": "user"
},
{
"content": "First find the area of the lot by multiplying the width and the length: 120 ft * 60 ft = <<120*60=7200>>7200 sq ft.\nThen find the area of the square covered in concrete: 40 ft * 40 ft = <<40*40=1600>>1600 sq ft.\nThen subtract the concrete area from the total area to find the grassy area: 7200 sq ft - 1600 sq ft = <<7200-1600=5600>>5600 sq ft.\nFinally, divide this area by the area each bag covers to find the number of bags: 5600 sq ft / 56 sq ft/bag = <<5600/56=100>>100 bags.\n#### 100",
"role": "assistant"
}
],
"short_incorrect_solution": "157",
"short_solution": "100"
} |
[
{
"content": "Paddy's Confidential has 600 cans of stew required to feed 40 people. How many cans would be needed to feed 30% fewer people?",
"role": "user"
},
{
"content": "I need to find how many cans are needed to feed 30% fewer people than 40.\n\nFirst, let me calculate 30% fewer people:\n- 30% ... | true | {
"correct_answer": "If there are 40 people, each person gets 600/40 = 15 cans. Thirty percent of the total number of people present is 30/100*40 = 12. If there are 30% fewer people, the number of people who are to be fed is 40-12 = 28. Since each person is given 15 cans, twenty-eight people will need 15*28 = 420 cans.",
"incorrect_answer": "If there are 40 people, each person gets 600/40 = 15 cans. If there are 30% fewer people, that means we have 40 - 30 = 10 people. Since each person is given 15 cans, ten people will need 15*10 = 150 cans.",
"messages": [
{
"content": "Paddy's Confidential has 600 cans of stew required to feed 40 people. How many cans would be needed to feed 30% fewer people?",
"role": "user"
},
{
"content": "If there are 40 people, each person gets 600/40 = <<600/40=15>>15 cans.\nThirty percent of the total number of people present is 30/100*40 = <<30/100*40=12>>12\nIf there are 30% fewer people, the number of people who are to be fed is 40-12 = <<40-12=28>>28\nSince each person is given 15 cans, twenty-eight people will need 15*28 = <<15*28=420>>420 cans.\n#### 420",
"role": "assistant"
}
],
"short_incorrect_solution": "150",
"short_solution": "420"
} |
[
{
"content": "Ben bought a lawnmower for his garden. He paid $100 for it. After six months, the value of the mower dropped by about 25%. Over the next year, the value of the mower dropped another 20% in value. How much is Ben's lawnmower worth after this time?",
"role": "user"
},
{
"content": "I nee... | true | {
"correct_answer": "The first value drop of the lawnmower was 25/100 * 100 = $25. So the lawnmower was worth 100 - 25 = $75. Over the next year, the value dropped another 20%, which is 20/100 * 75 = $15. So after all this time, Ben's lawnmower is worth 75 - 15 = $60. #### 60",
"incorrect_answer": "The first value drop of the lawnmower was 25% which is $25. So the lawnmower was worth 100 - 25 = $75. Over the next year, the value dropped another 20% of the original price, which is 20/100 * 100 = $20. So after all this time, Ben's lawnmower is worth 75 - 20 = $55. #### 55",
"messages": [
{
"content": "Ben bought a lawnmower for his garden. He paid $100 for it. After six months, the value of the mower dropped by about 25%. Over the next year, the value of the mower dropped another 20% in value. How much is Ben's lawnmower worth after this time?",
"role": "user"
},
{
"content": "The first value drop of the lawnmower was 25/100 * 100 = $<<25/100*100=25>>25.\nSo the lawnmower was worth 100 - 25 = $<<100-25=75>>75.\nOver the next year, the value dropped another 20%, which is 20/100 * 75 = $<<20/100*75=15>>15.\nSo after all this time, Ben's lawnmower is worth 75 - 15 = $<<75-15=60>>60.\n#### 60",
"role": "assistant"
}
],
"short_incorrect_solution": "55",
"short_solution": "60"
} |
[
{
"content": "Boston had .5 feet of snow on the first day of winter. The next day they got an additional 8 inches. Over the next 2 days, 2 inches of the snow melted. On the fifth day, they received another 2 times the amount of snow they received on the first day. How many feet of snow do they now have?",
... | true | {
"correct_answer": "Boston had .5 feet of snow on the first day of winter. The next day they got an additional 8 inches. Over the next 2 days, 2 inches of the snow melted. On the fifth day, they received another 2 times the amount of snow they received on the first day. How many feet of snow do they now have?",
"incorrect_answer": "Boston had .5 feet of snow on the first day of winter. The next day they got an additional 8 inches. Over the next 2 days, 2 inches of the snow melted. On the fifth day, they received another 2 times the amount of snow they received on the first day. How many feet of snow do they now have? Answer: 1.5 feet",
"messages": [
{
"content": "Boston had .5 feet of snow on the first day of winter. The next day they got an additional 8 inches. Over the next 2 days, 2 inches of the snow melted. On the fifth day, they received another 2 times the amount of snow they received on the first day. How many feet of snow do they now have?",
"role": "user"
},
{
"content": "12 inches is 1 foot and they received a .5 foot of snow on the first day so they received 12*.5 = <<12*.5=6>>6 inches of snow\nThe first day they had 6 inches and then received another 8 inches for a total of 6+8 = <<6+8=14>>14 inches\n2 inches melted from their 14 inches so that leaves 14-2 = <<14-2=12>>12 inches of snow\nThey received 2 times the amount as the first day's 6 inches of snow so that's 2*6 = <<2*6=12>>12 inches of snow\nSo they had 12 inches of snow and received another 12 inches of snow for a total of 12+12 = <<12+12=24>>24 inches\n12 inches is 1 foot and they have 24 inches of snow so they have 24/12 = 2 feet of snow\n#### 2",
"role": "assistant"
}
],
"short_incorrect_solution": "1.5",
"short_solution": "2"
} |
[
{
"content": "Seymour runs a plant shop. He has 4 flats of petunias with 8 petunias per flat, 3 flats of roses with 6 roses per flat, and two Venus flytraps. Each petunia needs 8 ounces of fertilizer, each rose needs 3 ounces of fertilizer, and each Venus flytrap needs 2 ounces of fertilizer. How many ounces of... | true | {
"correct_answer": "First find the total number of petunias: 4 flats * 8 petunias/flat = 32 petunias. Then find the total number of roses: 3 flats * 6 roses/flat = 18 roses. Now find how much fertilizer Seymour needs for the petunias: 32 petunias * 8 oz/petunia = 256 oz. Now find how much fertilizer Seymour needs for the roses: 18 roses * 3 oz/rose = 54 oz. Now find how much fertilizer Seymour needs for the Venus flytraps: 2 Venus flytraps * 2 oz/Venus flytrap = 4 oz. Now add up the fertilizer for all three plants: 256 oz + 54 oz + 4 oz = 314 oz.",
"incorrect_answer": "First find the total number of petunias: 4 flats * 8 petunias/flat = 32 petunias. Then find the total number of roses: 3 flats * 6 roses/flat = 18 roses. Now find how much fertilizer Seymour needs for the petunias: 32 petunias * 8 oz/petunia = 256 oz. Now find how much fertilizer Seymour needs for the roses: 18 roses * 3 oz/rose = 54 oz. Now find how much fertilizer Seymour needs for the Venus flytraps: 2 Venus flytraps * 2 oz/Venus flytrap = 4 oz. Now add up the fertilizer for all three plants: 256 oz + 54 oz + 2 oz = 312 oz.",
"messages": [
{
"content": "Seymour runs a plant shop. He has 4 flats of petunias with 8 petunias per flat, 3 flats of roses with 6 roses per flat, and two Venus flytraps. Each petunia needs 8 ounces of fertilizer, each rose needs 3 ounces of fertilizer, and each Venus flytrap needs 2 ounces of fertilizer. How many ounces of fertilizer does Seymour need in total?",
"role": "user"
},
{
"content": "First find the total number of petunias: 4 flats * 8 petunias/flat = <<4*8=32>>32 petunias.\nThen find the total number of roses: 3 flats * 6 roses/flat = <<3*6=18>>18 roses.\nNow find how much fertilizer Seymour needs for the petunias: 32 petunias * 8 oz/petunia = <<32*8=256>>256 oz.\nNow find how much fertilizer Seymour needs for the roses: 18 roses * 3 oz/rose = <<18*3=54>>54 oz\nNow find how much fertilizer Seymour needs for the Venus flytraps: 2 Venus flytraps * 2 oz/Venus flytrap = <<2*2=4>>4 oz.\nNow add up the fertilizer for all three plants: 256 oz + 54 oz + 4 oz = <<256+54+4=314>>314 oz.\n#### 314",
"role": "assistant"
}
],
"short_incorrect_solution": "312",
"short_solution": "314"
} |
[
{
"content": "The moon is made of 50% iron, 20% carbon, and the remainder is other elements. Mars weighs twice as much as the moon, but has the exact same composition. If Mars is 150 tons of other elements, how many tons does the moon weigh?",
"role": "user"
},
{
"content": "I need to find the weigh... | true | {
"correct_answer": "30% of Mars is made up of other elements because 100 - 50 - 20 = 30. Mars weighs 500 tons because 150 / 0.3 = 500. The moon weighs 250 tons because 500 / 2 = 250. #### 250",
"incorrect_answer": "The remainder is 30% other elements because 100 - 50 - 20 = 30. Since Mars has 150 tons of other elements and the moon has the same composition, the moon also has 150 tons of other elements. Since 30% of the moon equals 150 tons, the moon weighs 150 / 0.3 = 500 tons. #### 500",
"messages": [
{
"content": "The moon is made of 50% iron, 20% carbon, and the remainder is other elements. Mars weighs twice as much as the moon, but has the exact same composition. If Mars is 150 tons of other elements, how many tons does the moon weigh?",
"role": "user"
},
{
"content": "30% of Mars is made up of other elements because 100 - 50 - 20 = <<100-50-20=30>>30\nMars weighs 500 tons because 150 / .3 = <<150/.3=500>>500\nThe moon weighs 250 tons because 500 / 2 = <<500/2=250>>250\n#### 250",
"role": "assistant"
}
],
"short_incorrect_solution": "500",
"short_solution": "250"
} |
[
{
"content": "An agricultural cooperative must ship 6500 kg of potatoes. During transport by truck, 150 kg are damaged and therefore cannot be sold. The potatoes are distributed in 50 kg bags, each bag being sold for $72. What will the sale of the potatoes bring?",
"role": "user"
},
{
"content": "I ... | true | {
"correct_answer": "There are 6500 kg – 150 kg = 6350 kg of sellable potatoes. These will fit into 6350 kg / 50 kg/bag = 127 bags. In total, these will be sold for 127 bags * $72/bag = $9144",
"incorrect_answer": "There are 6500 kg of potatoes total. These will fit into 6500 kg / 50 kg/bag = 130 bags. In total, these will be sold for 130 bags * $72/bag = $9360",
"messages": [
{
"content": "An agricultural cooperative must ship 6500 kg of potatoes. During transport by truck, 150 kg are damaged and therefore cannot be sold. The potatoes are distributed in 50 kg bags, each bag being sold for $72. What will the sale of the potatoes bring?",
"role": "user"
},
{
"content": "There are 6500 kg – 150 kg = <<6500-150=6350>>6350 kg of sellable potatoes.\nThese will fit into 6350 kg / 50 kg/bag = <<6350/50=127>>127 bags\nIn total, these will be sold for 127 bags * $72/bag = $<<127*72=9144>>9144\n#### 9144",
"role": "assistant"
}
],
"short_incorrect_solution": "9360",
"short_solution": "9144"
} |
[
{
"content": "Bea and Dawn both have a lemonade stand. Bea sells her lemonade at 25 cents while Dawn sells hers at 28 cents. If Bea sold 10 glasses and Dawn sold 8 glasses, how much more money (in cents) did Bea earn than Dawn?",
"role": "user"
},
{
"content": "I need to calculate how much money eac... | true | {
"correct_answer": "Bea's sales amount to $0.25/glass x 10 glasses = 250 cents. Dawn's sales amount to $0.28/glass x 8 glasses = 224 cents. So, Bea earned 250 - 224 = 26 cents more than Dawn.",
"incorrect_answer": "Bea's sales amount to $0.25/glass x 10 glasses = 250 cents. Dawn's sales amount to $0.28/glass x 8 glasses = 224 cents. Since Dawn charges more per glass (28 cents vs 25 cents), Dawn earned 28 - 25 = 3 cents more than Bea per glass, so Dawn earned more overall.",
"messages": [
{
"content": "Bea and Dawn both have a lemonade stand. Bea sells her lemonade at 25 cents while Dawn sells hers at 28 cents. If Bea sold 10 glasses and Dawn sold 8 glasses, how much more money (in cents) did Bea earn than Dawn?",
"role": "user"
},
{
"content": "Bea's sales amount to $0.25/glass x 10 glasses = 250 cents.\nDawn's sales amount to $0.28/glass x 8 glasses = 224 cents.\nSo, Bea earned $2.50 - $2.24 = 26 cents more than Dawn.\n#### 26",
"role": "assistant"
}
],
"short_incorrect_solution": "Dawn earned more",
"short_solution": "26"
} |
[
{
"content": "John works a job that offers performance bonuses. He makes $80 a day and works for 8 hours. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the ... | true | {
"correct_answer": "First, we need to determine the length of John's workday if he decides to earn the bonus. We do this by performing 8+2= <<8+2=10>>10 hours for his workday. Next, we need to determine his overall pay. We do this by performing 80+20=<<80+20=100>>100 dollars a day. We then determine John's hourly rate by dividing his pay by the number of hours worked, performing 100/10= <<100/10=10>>10 dollars an hour. #### 10",
"incorrect_answer": "John makes $80 a day normally and gets an extra $20 bonus, so his total pay is 80+20= <<80+20=100>>100 dollars. Since he works 8 hours normally, his hourly rate with the bonus is 100/8= <<100/8=12.5>>12.5 dollars an hour. #### 12.5",
"messages": [
{
"content": "John works a job that offers performance bonuses. He makes $80 a day and works for 8 hours. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the bonus?",
"role": "user"
},
{
"content": "First, we need to determine the length of John's workday if he decides to earn the bonus. We do this by performing 8+2= <<8+2=10>>10 hours for his workday.\nNext, we need to determine his overall pay. We do this by performing 80+20=<<80+20=100>>100 dollars a day.\nWe then determine John's hourly rate by dividing his pay by the number of hours worked, performing 100/10= <<100/10=10>>10 dollars an hour.\n#### 10",
"role": "assistant"
}
],
"short_incorrect_solution": "12.5",
"short_solution": "10"
} |
[
{
"content": "There are 500 students in a local high school. 40 percent are juniors. 70 percent of juniors are involved in sports. How many juniors are involved in sports?",
"role": "user"
},
{
"content": "I need to find how many juniors are involved in sports.\n\nLet me work through this step by... | true | {
"correct_answer": "Juniors: 500(.40) = 200\nJuniors in sports: 200(.70) = 140 students\n#### 140",
"incorrect_answer": "Juniors: 500(.40) = 200\nJuniors in sports: 500(.70) = 350 students\n#### 350",
"messages": [
{
"content": "There are 500 students in a local high school. 40 percent are juniors. 70 percent of juniors are involved in sports. How many juniors are involved in sports?",
"role": "user"
},
{
"content": "Juniors:500(.40)=200\nJuniors in sports:200(.70)=140 students\n#### 140",
"role": "assistant"
}
],
"short_incorrect_solution": "350",
"short_solution": "140"
} |
[
{
"content": "Tommy ordered a total weight of 10 kilograms of apple, orange, grape, and strawberry fruits. He ordered 3 kilograms of apples, 1 kilogram of orange, and 3 kilograms of grapes. How many kilograms of strawberries did he order?",
"role": "user"
},
{
"content": "I need to find how many kil... | true | {
"correct_answer": "Tommy ordered 3 + 3 + 1 = 7 kilograms of apples, oranges and grapes altogether. Therefore, Tommy ordered 10 - 7 = 3 kilograms of strawberries.",
"incorrect_answer": "Tommy ordered 3 + 1 + 3 + 3 = 10 kilograms total, so he must have ordered 10 kilograms of strawberries.",
"messages": [
{
"content": "Tommy ordered a total weight of 10 kilograms of apple, orange, grape, and strawberry fruits. He ordered 3 kilograms of apples, 1 kilogram of orange, and 3 kilograms of grapes. How many kilograms of strawberries did he order?",
"role": "user"
},
{
"content": "Tommy ordered 3 + 3 + 1 = <<3+3+1=7>>7 kilograms of apples, oranges and grapes altogether.\nTherefore, Tommy ordered 10 - 7 = <<10-7=3>>3 kilograms of strawberries.\n#### 3",
"role": "assistant"
}
],
"short_incorrect_solution": "10",
"short_solution": "3"
} |
[
{
"content": "Kimiko watches four YouTube videos. The first video is 2 minutes long, the second video is 4 minutes and 30 seconds, and the last two videos are equal in length. If she spends a total of 510 seconds watching YouTube, how many seconds long was each of the last two videos?",
"role": "user"
},
... | true | {
"correct_answer": "First convert the length of the first video to seconds: 2 minutes * 60 seconds/minute = 120 seconds. Then convert the length of the second video to seconds: 4 minutes * 60 seconds/minute + 30 seconds = 240 seconds + 30 seconds = 270 seconds. Now subtract the length of the first two videos from the total time Kimiko spent watching to find the combined length of the last two videos: 510 seconds - 120 seconds - 270 seconds = 120 seconds. Now divide the combined length by the number of videos to find each video's length: 120 seconds / 2 = 60 seconds",
"incorrect_answer": "First convert the length of the first video to seconds: 2 minutes * 60 seconds/minute = 120 seconds. Then convert the length of the second video to seconds: 4 minutes and 30 seconds = 4.5 minutes * 60 seconds/minute = 270 seconds. Now subtract the length of the first two videos from the total time: 510 seconds - 120 seconds - 270 seconds = 120 seconds. Since there are two remaining videos, each video is 120 seconds long.",
"messages": [
{
"content": "Kimiko watches four YouTube videos. The first video is 2 minutes long, the second video is 4 minutes and 30 seconds, and the last two videos are equal in length. If she spends a total of 510 seconds watching YouTube, how many seconds long was each of the last two videos?",
"role": "user"
},
{
"content": "First convert the length of the first video to seconds: 2 minutes * 60 seconds/minute = <<2*60=120>>120 seconds\nThen convert the length of the second video to seconds: 4 minutes * 60 seconds/minute + 30 seconds = 240 seconds + 30 seconds = <<4*60+30=270>>270 seconds\nNow subtract the length of the first two videos from the total time Kimiko spent watching to find the combined length of the last two videos: 510 seconds - 120 seconds - 270 seconds = <<510-120-270=120>>120 seconds\nNow divide the combined length by the number of videos to find each video's length: 120 seconds / 2 = <<120/2=60>>60 seconds\n#### 60",
"role": "assistant"
}
],
"short_incorrect_solution": "120",
"short_solution": "60"
} |
[
{
"content": "Mark is injured so decides to spend more time reading. He used to read 2 hours a day but increased that by 150%. Before he read 100 pages a day. How many pages does he read a week now?",
"role": "user"
},
{
"content": "I need to find out how many pages Mark reads per week after his ... | true | {
"correct_answer": "His reading speed is 100/2=50 pages per hour. He reads 2*1.5=3 hours more now than before. So now he reads 2+3=5 hours per day. That means he reads 5*50=250 pages per day. So he reads 250*7=1750 pages a week.",
"incorrect_answer": "He increased his reading by 150%, so he now reads 100*1.5=150 more pages per day. So he reads 100+150=250 pages per day. Therefore he reads 250*7=1750 pages a week.",
"messages": [
{
"content": "Mark is injured so decides to spend more time reading. He used to read 2 hours a day but increased that by 150%. Before he read 100 pages a day. How many pages does he read a week now?",
"role": "user"
},
{
"content": "His reading speed is 100/2=<<100/2=50>>50 pages a day\nHe reads 2*1.5=<<2*1.5=3>>3 hours more now than before\nSo now he reads 2+3=<<2+3=5>>5 hours per day\nThat means he reads 5*50=<<5*50=250>>250 pages per day\nSo he reads 250*7=<<250*7=1750>>1750 pages a week\n#### 1750",
"role": "assistant"
}
],
"short_incorrect_solution": "1750",
"short_solution": "1750"
} |
[
{
"content": "James needs to get a new pair of glasses. His frames cost $200 and the lenses cost $500. Insurance will cover 80% of the cost of lenses and he has a $50 off coupon for frames. How much does everything cost?",
"role": "user"
},
{
"content": "I need to calculate the total cost after i... | true | {
"correct_answer": "He gets 500*.8=$400 off the cost of lenses. That means the lenses cost 500-400=$100. The frames cost 200-50=$150. So he pays 100+150=$250. #### 250",
"incorrect_answer": "Insurance covers 80% of the total cost. Total cost is 200+500=$700. Insurance covers 700*.8=$560. He also has a $50 coupon. So he pays 700-560-50=$90. #### 90",
"messages": [
{
"content": "James needs to get a new pair of glasses. His frames cost $200 and the lenses cost $500. Insurance will cover 80% of the cost of lenses and he has a $50 off coupon for frames. How much does everything cost?",
"role": "user"
},
{
"content": "He gets 500*.8=$<<500*.8=400>>400 off the cost of lenses\nThat means the lenses cost 500-400=$<<500-400=100>>100\nThe frames cost 200-50=$<<200-50=150>>150\nSo he pays 100+150=$<<100+150=250>>250\n#### 250",
"role": "assistant"
}
],
"short_incorrect_solution": "90",
"short_solution": "250"
} |
[
{
"content": "Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?",
"role": "user"
},
{
"content": "I need to calculate... | true | {
"correct_answer": "The price of potatoes is 6 * 2 = $12. The price of tomatoes is 9 * 3 = $27. The price of cucumbers is 5 * 4 = $20. The price of bananas is 3 * 5 = $15. The total price Peter spent is 12 + 27 + 20 + 15 = $74. The amount left with Peter is $500 - $74 = $426",
"incorrect_answer": "The price of potatoes is 6 * 2 = $12. The price of tomatoes is 9 * 3 = $27. The price of cucumbers is 5 * 4 = $20. The price of bananas is 3 * 5 = $15. The total price Peter spent is 12 + 27 + 20 + 15 = $74. Peter's remaining money is $74.",
"messages": [
{
"content": "Peter carried $500 to the market. He bought 6 kilos of potatoes for $2 per kilo, 9 kilos of tomato for $3 per kilo, 5 kilos of cucumbers for $4 per kilo, and 3 kilos of bananas for $5 per kilo. How much is Peter’s remaining money?",
"role": "user"
},
{
"content": "The price of potatoes is 6 * 2 = $<<6*2=12>>12.\nThe price of tomatoes is 9 * 3 = $<<9*3=27>>27.\nThe price of cucumbers is 5 * 4 = $<<5*4=20>>20.\nThe price of bananas is 3 * 5 = $<<3*5=15>>15.\nThe total price Peter spent is 12 + 27 + 20 + 15 = $<<12+27+20+15=74>>74.\nThe amount left with Peter is $500 - $74 = $<<500-74=426>>426\n#### 426",
"role": "assistant"
}
],
"short_incorrect_solution": "74",
"short_solution": "426"
} |
[
{
"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?",
"role": "user"
},
{
"content": "I need... | true | {
"correct_answer": "The first students bought 2*2=4 pencils. The next 6 students bought 6*3=18 pencils. The last two students bought 1+1=2 pencils. In total the store sold 4+18+2=24 pencils. #### 24",
"incorrect_answer": "The first students bought 2*2=4 pencils. The next 6 students bought 6*3=18 pencils. The last two students bought 1*2=2 pencils. In total the store sold 4+18+2=22 pencils. #### 22",
"messages": [
{
"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?",
"role": "user"
},
{
"content": "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",
"role": "assistant"
}
],
"short_incorrect_solution": "22",
"short_solution": "24"
} |
[
{
"content": "Bob bought 2 show dogs for $250.00 each to breed as a side business. The female just had a litter of 6 puppies. If he sells each puppy for $350.00, what is his total profit?",
"role": "user"
},
{
"content": "I need to calculate Bob's total profit from his dog breeding business.\n\nLe... | true | {
"correct_answer": "He bought 2 dogs for $250.00 each so they costs 2*250 = $500.00. He sells each of the 6 puppies for $350.00 so he'll make 6*350 = $2,100.00. He made $2,100 on the puppies but spent $500.00 to buy the dogs so his total profit is 2,100-500 = $1,600.00",
"incorrect_answer": "He bought 2 dogs for $250.00 each so they costs 2*250 = $500.00. He sells each of the 6 puppies for $350.00 so he'll make 6*350 = $2,100.00. His total profit is $2,100.00",
"messages": [
{
"content": "Bob bought 2 show dogs for $250.00 each to breed as a side business. The female just had a litter of 6 puppies. If he sells each puppy for $350.00, what is his total profit?",
"role": "user"
},
{
"content": "He bought 2 dogs for $250.00 each so they costs 2*250 = $<<2*250=500.00>>500.00\nHe sells each of the 6 puppies for $350.00 so he'll make 6*350 = $<<6*350=2100.00>>2,100.00\nHe made $2,100 on the puppies but spent $500.00 to buy the dogs so his total profit is 2,100-500 = $<<2100-500=1600.00>>1,600.00\n#### 1600",
"role": "assistant"
}
],
"short_incorrect_solution": "2100",
"short_solution": "1600"
} |
[
{
"content": "Edward had $17.80 to spend at the toy store. He bought 4 toy cars that cost $0.95 each and a race track that cost $6.00. How much money does Edward have left to buy more toys?",
"role": "user"
},
{
"content": "I need to find how much money Edward has left after his purchases.\n\nGiven ... | true | {
"correct_answer": "The cost of the toy cars is 4 × $0.95 = $3.80. The total cost of the toys is $3.80 + $6.00 = $9.80. Edward has $17.80 − $9.80 = $8.00 left.",
"incorrect_answer": "The cost of the toy cars is 4 × $0.95 = $3.80. Edward has $17.80 − $3.80 = $14.00 left.",
"messages": [
{
"content": "Edward had $17.80 to spend at the toy store. He bought 4 toy cars that cost $0.95 each and a race track that cost $6.00. How much money does Edward have left to buy more toys?",
"role": "user"
},
{
"content": "The cost of the toy cars is 4 × $0.95 = $<<4*0.95=3.80>>3.80.\nThe total cost of the toys is $3.80 + $6.00 = $<<3.80+6=9.80>>9.80.\nEdward has $17.80 − $9.80 = $8.00 left.\n#### 8",
"role": "assistant"
}
],
"short_incorrect_solution": "14",
"short_solution": "8"
} |
[
{
"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.... | true | {
"correct_answer": "One-third of her bonus was $900/3 = $300. After one year, stock A doubled in value and was worth $300*2 = $600. After one year, stock B doubled in value and was worth $300*2 = $600. After one year, stock C had lost half its value and was worth $300/2 = $150. Altogether, at the end of the year, Gwen's stocks were worth $600+$600+$150 = $1350",
"incorrect_answer": "One-third of her bonus was $900/3 = $300. After one year, stock A doubled in value and was worth $300*2 = $600. After one year, stock B doubled in value and was worth $300*2 = $600. After one year, stock C had lost half its value and was worth $300 - $150 = $150. Altogether, at the end of the year, Gwen's stocks were worth $600+$600+$150 = $1350",
"messages": [
{
"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. At the end of the year, how much were Gwen's stocks worth, in dollars?",
"role": "user"
},
{
"content": "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=150>>150.\nAltogether, at the end of the year, Gwen's stocks were worth $600+$600+$150 = $<<600+600+150=1350>>1350\n#### 1350",
"role": "assistant"
}
],
"short_incorrect_solution": "1350",
"short_solution": "1350"
} |
[
{
"content": "Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales?",
"role": "user"
},
{
"content": "I need to find how many eggs Samantha needs to sell to recover her $5 investm... | true | {
"correct_answer": "There are 100 cents in each $1 so $5 gives 5*100 cents = 500 cents. To recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = 25 eggs. There were 30 eggs in the crate to start with so she will have 30-25 = 5 eggs left. #### 5",
"incorrect_answer": "To recover her capital of $5 from a selling price of 20 cents per egg, she needs to sell $5 ÷ $0.20 = 25 eggs. Wait, that doesn't seem right. Let me think... She needs to make $5, and each egg sells for $0.20, so she needs to sell $5 ÷ $0.20 = 25 eggs. But she started with 30 eggs, so she'll have 30 - 20 = 10 eggs left. #### 10",
"messages": [
{
"content": "Samantha bought a crate of 30 eggs for $5. If she decides to sell each egg for 20 cents, how many eggs will she have left by the time she recovers her capital from the sales?",
"role": "user"
},
{
"content": "There are 100 cents in each $1 so $5 gives 5*100 cents = <<5*100=500>>500 cents\nTo recover her capital of 500 cents from a selling price of 20 cents per egg she has to sell 500/20 = <<500/20=25>>25 eggs\nThere were 30 eggs in the crate to start with so she will have 30-25 = <<30-25=5>>5 eggs left\n#### 5",
"role": "assistant"
}
],
"short_incorrect_solution": "10",
"short_solution": "5"
} |
[
{
"content": "A store owner repacked his oils into 200 mL bottles. He was able to make 20 bottles. How many liters of oil did the store owner have?",
"role": "user"
},
{
"content": "I need to find the total amount of oil the store owner had.\n\nGiven information:\n- Each bottle contains 200 mL of oi... | true | {
"correct_answer": "Twenty bottles of oil is equal to 200 mL x 20 = 4000 mL. Since 1 liter is equal to 1000 mL, then the store owner had 4000/1000 = 4 liters of oil. #### 4",
"incorrect_answer": "The store owner made 20 bottles of 200 mL each. So he had 20 + 200 = 220 mL of oil total. Converting to liters: 220/1000 = 0.22 liters. #### 0.22",
"messages": [
{
"content": "A store owner repacked his oils into 200 mL bottles. He was able to make 20 bottles. How many liters of oil did the store owner have?",
"role": "user"
},
{
"content": "Twenty bottles of oil is equal to 200 mL x 20 = <<20*200=4000>>4000 mL.\nSince 1 liter is equal to 1000 mL, then the store owner had 4000/1000 = <<4000/1000=4>>4 liters of oil.\n#### 4",
"role": "assistant"
}
],
"short_incorrect_solution": "0.22",
"short_solution": "4"
} |
[
{
"content": "Ravi has some coins. He has 2 more quarters than nickels and 4 more dimes than quarters. If he has 6 nickels, how much money does he have?",
"role": "user"
},
{
"content": "I need to find the total value of Ravi's coins.\n\nGiven information:\n- Ravi has 6 nickels\n- He has 2 more quar... | true | {
"correct_answer": "Ravi has 6 + 2 = 8 quarters. He has also 8 + 4 = 12 dimes. A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = 30 cents. A quarter is worth 25 cents so his quarters amount to 8 x 25 = 200 cents. A dime is worth 10 cents so his dimes amount to 12 x 10 = 120 cents. Therefore, Ravi has 30 + 200 + 120 = 350 cents.",
"incorrect_answer": "Ravi has 6 + 2 = 8 quarters. He has also 6 + 4 = 10 dimes. A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = 30 cents. A quarter is worth 25 cents so his quarters amount to 8 x 25 = 200 cents. A dime is worth 10 cents so his dimes amount to 10 x 10 = 100 cents. Therefore, Ravi has 30 + 200 + 100 = 330 cents.",
"messages": [
{
"content": "Ravi has some coins. He has 2 more quarters than nickels and 4 more dimes than quarters. If he has 6 nickels, how much money does he have?",
"role": "user"
},
{
"content": "Ravi has 6 + 2 = <<6+2=8>>8 quarters.\nHe has also 8 + 4 = <<8+4=12>>12 dimes.\nA nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = <<6*5=30>>30 cents.\nA quarter is worth 25 cents so his quarters amount to 8 x 25 = <<8*25=200>>200 cents.\nA dime is worth 10 cents so his dimes amount to 12 x 10 = <<12*10=120>>120 cents.\ntherefore, Ravi has 30 + 200 + 120 = <<30+200+120=350>>350 cents.\n#### 350",
"role": "assistant"
}
],
"short_incorrect_solution": "330 cents",
"short_solution": "350 cents"
} |
[
{
"content": "James runs a TV show and there are 5 main characters and 4 minor characters. He pays the minor characters $15,000 each episode. He paid the major characters three times as much. How much does he pay per episode?",
"role": "user"
},
{
"content": "I need to find the total amount James... | true | {
"correct_answer": "He pays the minor characters 15000*4=$60,000. The major characters each get 15000*3=$45,000. So he pays the main characters 45,000*5=$225,000. So in total he pays 225,000+60,000=$285,000",
"incorrect_answer": "He pays the minor characters 15000*4=$60,000. The major characters each get 15000*3=$45,000. So he pays the main characters 45,000*4=$180,000. So in total he pays 180,000+60,000=$240,000",
"messages": [
{
"content": "James runs a TV show and there are 5 main characters and 4 minor characters. He pays the minor characters $15,000 each episode. He paid the major characters three times as much. How much does he pay per episode?",
"role": "user"
},
{
"content": "He pays the minor characters 15000*4=$<<15000*4=60000>>60,000\nThe major characters each get 15000*3=$<<15000*3=45000>>45,000\nSo he pays the main characters 45,000*5=$<<45000*5=225000>>225,000\nSo in total he pays 225,000+60,000=$<<225000+60000=285000>>285,000\n#### 285,000",
"role": "assistant"
}
],
"short_incorrect_solution": "240,000",
"short_solution": "285,000"
} |
[
{
"content": "Wendy works at a chocolate factory packing chocolates. She can package 2 dozen chocolates in 5 minutes. How many individual chocolates can she package in 4 hours?",
"role": "user"
},
{
"content": "I need to find how many individual chocolates Wendy can package in 4 hours.\n\nGiven in... | true | {
"correct_answer": "1152",
"incorrect_answer": "576",
"messages": [
{
"content": "Wendy works at a chocolate factory packing chocolates. She can package 2 dozen chocolates in 5 minutes. How many individual chocolates can she package in 4 hours?",
"role": "user"
},
{
"content": "There are 60 minutes in an hour and she packs chocolate in 5-minute increments. So that's 60/5 = <<60/5=12>>12 5 minute increments in 1 hour\n12 chocolates make 1 dozen and she packages 2 dozen in 5 minutes so that's 12*2 = <<12*2=24>>24 chocolates in 5 minutes\n12 5 minute increments are in an hour and she packages 24 chocolates in 5 minutes so she can package 12*24 = <<12*24=288>>288 individual chocolates in 1 hour\nIf she packages 288 individual chocolates in 1 hour then in 4 hours she can package 288*4 = <<288*4=1152>>1,152 individual chocolates\n#### 1152",
"role": "assistant"
}
],
"short_incorrect_solution": "576",
"short_solution": "1152"
} |
[
{
"content": "A pair of dogs are barking back and forth at each other from across the street. The poodle barks twice for every one time the terrier barks. The terrier’s owner hushes it every second time it barks. She has to say “hush” six times before the dogs stopped barking. How many times did the poodle bark... | true | {
"correct_answer": "The terrier barked twice as many times as it was told to hush, so it barked 6 * 2 = 12 times. The poodle barked two times for every terrier bark, so it barked 12 * 2 = 24 times.",
"incorrect_answer": "The terrier was hushed 6 times, so it barked 6 times. The poodle barks twice for every terrier bark, so it barked 6 * 2 = 12 times.",
"messages": [
{
"content": "A pair of dogs are barking back and forth at each other from across the street. The poodle barks twice for every one time the terrier barks. The terrier’s owner hushes it every second time it barks. She has to say “hush” six times before the dogs stopped barking. How many times did the poodle bark?",
"role": "user"
},
{
"content": "The terrier barked twice as many times as it was told to hush, so it barked 6 * 2 = <<6*2=12>>12 times.\nThe poodle barked two times for every terrier bark, so it barked 12 * 2 = <<12*2=24>>24 times.\n#### 24",
"role": "assistant"
}
],
"short_incorrect_solution": "12",
"short_solution": "24"
} |
[
{
"content": "Eric has a chicken farm with 4 chickens. His chickens lay 3 eggs each day. If Eric collects all the eggs after 3 days, then how many eggs will Eric have collected?",
"role": "user"
},
{
"content": "I need to find the total number of eggs Eric collects after 3 days.\n\nGiven information... | true | {
"correct_answer": "Each chicken lays 3 eggs per day and there are 4 chickens 3 * 4 = 12. He will collect all the eggs after 3 days 12 * 3 = 36. #### 36",
"incorrect_answer": "Each chicken lays 3 eggs each day. Eric has 4 chickens and collects after 3 days. So the total is 3 + 4 + 3 = 10. #### 10",
"messages": [
{
"content": "Eric has a chicken farm with 4 chickens. His chickens lay 3 eggs each day. If Eric collects all the eggs after 3 days, then how many eggs will Eric have collected?",
"role": "user"
},
{
"content": "Each chicken lays 3 eggs per day and there are 4 chickens 3 * 4 = <<3*4=12>>12\nHe will collect all the eggs after 3 days 12 * 3 = <<12*3=36>>36\n#### 36",
"role": "assistant"
}
],
"short_incorrect_solution": "10",
"short_solution": "36"
} |
[
{
"content": "Brenda catches smallpox. She has 60 blisters on each arm and 80 blisters on the rest of her body. How many blisters does she have in total?",
"role": "user"
},
{
"content": "I need to find the total number of blisters on Brenda's body.\n\nGiven information:\n- 60 blisters on each arm\n... | true | {
"correct_answer": "First find the total number of blisters on Brenda's arms: 60 blisters/arm * 2 arms = 120 blisters\nThen add the blisters on the rest of her body to find the total: 120 blisters + 80 blisters = 200 blisters\n#### 200",
"incorrect_answer": "Add the blisters on one arm to the blisters on the rest of her body: 60 blisters + 80 blisters = 140 blisters\n#### 140",
"messages": [
{
"content": "Brenda catches smallpox. She has 60 blisters on each arm and 80 blisters on the rest of her body. How many blisters does she have in total?",
"role": "user"
},
{
"content": "First find the total number of blisters on Brenda's arms: 60 blisters/arm * 2 arms = 120 blisters\nThen add the blisters on the rest of her body to find the total: 120 blisters + 80 blisters = <<120+80=200>>200 blisters\n#### 200",
"role": "assistant"
}
],
"short_incorrect_solution": "140",
"short_solution": "200"
} |
[
{
"content": "Tom Sawyer has tricked his friends into whitewashing Aunt Polly's 100-foot fence. His first friend, Ben, whitewashed 10 feet. His second friend Billy whitewashed a fifth of the remaining fence. A third friend, Johnny, whitewashed a third of the fence that was left after that. How much of the fence... | true | {
"correct_answer": "It's a 100-foot fence, and Ben whitewashed 10 feet, so there are 100 - 10 = 90 feet left after Ben is done. Billy whitewashed a fifth of that, or 90 / 5 = 18 feet. There is now 90 - 18 = 72 feet of fence left. Johnny whitewashes a third of that, or 72 / 3 = 24 feet. That leaves 72 - 24 = 48 feet of fence left to be whitewashed.",
"incorrect_answer": "It's a 100-foot fence, and Ben whitewashed 10 feet, so there are 100 - 10 = 90 feet left after Ben is done. Billy whitewashed a fifth of the original fence, or 100 / 5 = 20 feet. There is now 90 - 20 = 70 feet of fence left. Johnny whitewashes a third of the original fence, or 100 / 3 = 33.33 feet. That leaves 70 - 33.33 = 36.67 feet of fence left to be whitewashed.",
"messages": [
{
"content": "Tom Sawyer has tricked his friends into whitewashing Aunt Polly's 100-foot fence. His first friend, Ben, whitewashed 10 feet. His second friend Billy whitewashed a fifth of the remaining fence. A third friend, Johnny, whitewashed a third of the fence that was left after that. How much of the fence still needs to be whitewashed?",
"role": "user"
},
{
"content": "It's a 100-foot fence, and Ben whitewashed 10 feet, so there are 100 - 10 = <<100-10=90>>90 feet left after Ben is done.\nBilly whitewashed a fifth of that, or 90 / 5 = <<90/5=18>>18 feet.\nThere is now 90 - 18 = <<90-18=72>>72 feet of fence left.\nJohnny whitewashes a third of that, or 72 / 3 = <<72/3=24>>24 feet.\nThat leaves 72 - 24 = <<72-24=48>>48 feet of fence left to be whitewashed.\n#### 48",
"role": "assistant"
}
],
"short_incorrect_solution": "36.67",
"short_solution": "48"
} |
[
{
"content": "Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought 5 pansies at $2.50 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive bac... | true | {
"correct_answer": "5 pansies at $2.50 each is 5*2.50 = $12.50. 5 petunias at $1.00 each 5*1 = $5.00. All total he spends 12.50+12.50+5.00 = $30.00. The sale is 10% off so 30*.10 = $3.00. The purchase total now comes to 30-3 = $27.00. He pays with a $50 bill so 50-27 = $23.00.",
"incorrect_answer": "5 pansies at $2.50 each is 5*2.50 = $12.50. 5 petunias at $1.00 each 5*1 = $5.00. All total he spends 12.50+12.50+5.00 = $30.00. He pays with a $50 bill so 50-30 = $20.00.",
"messages": [
{
"content": "Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought 5 pansies at $2.50 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive back from his purchase?",
"role": "user"
},
{
"content": "5 pansies at $2.50 each is 5*2.50 = $<<5*2.5=12.50>>12.50\n5 petunias at $1.00 each 5*1 = $<<5*1=5.00>>5.00\nAll total he spends 12.50+12.50+5.00 = $<<12.50+12.50+5.00=30.00>>30.00\nThe sale is 10% off so 30*.10 = $<<30*.10=3.00>>3.00\nThe purchase total now comes to 30-3 = $<<30-3=27.00>>27.00\nHe pays with a $50 bill so 50-27 = $<<50-27=23.00>>23.00\n#### 23",
"role": "assistant"
}
],
"short_incorrect_solution": "20",
"short_solution": "23"
} |
[
{
"content": "A company hires employees on a contract basis, depending on the availability of work. In a particular month, they hired 200 more employees on the first week than on the second week, and 150 fewer employees on the second week than on the third week. If the number of employees hired on the fourth we... | true | {
"correct_answer": "The fourth week had twice the number of employees as the third week, so 400/2 = 200 employees on the third week. In the third week, they hired 150 fewer employees than on the second week, that is 200-150 = 50 employees hired on the second week. The first week had 200 more hirings than the second week, that is 50+200 = 250 employees. The total number of employees hired is 250+50+200+400 = 900. The average number of employees hired per week is 900/4 = 225 employees.",
"incorrect_answer": "The fourth week had twice the number of employees as the third week, so 400/2 = 200 employees on the third week. In the third week, they hired 150 fewer employees than on the second week, that is 200+150 = 350 employees hired on the second week. The first week had 200 more hirings than the second week, that is 350+200 = 550 employees. The total number of employees hired is 550+350+200+400 = 1500. The average number of employees hired per week is 1500/4 = 375 employees.",
"messages": [
{
"content": "A company hires employees on a contract basis, depending on the availability of work. In a particular month, they hired 200 more employees on the first week than on the second week, and 150 fewer employees on the second week than on the third week. If the number of employees hired on the fourth week was twice the number hired in the third week, and the number of employees on the fourth week was 400, what's the average number of employees hired per week?",
"role": "user"
},
{
"content": "The fourth week had twice the number of employees as the third week, so 400/2 = <<400/2=200>>200 employees on the third week.\nIn the third week, they hired 150 fewer employees than on the second week, that is 200-150 = <<200-150=50>>50 employees hired on the second week.\nThe first week had 200 more hirings than the second week, that is 50+200 = <<50+200=250>>250 employees.\nThe total number of employees hired is 250+50+200+400 = <<250+50+200+400=900>>900.\nThe average number of employees hired per week is 900/4 = <<900/4=225>>225 employees.\n#### 225",
"role": "assistant"
}
],
"short_incorrect_solution": "375",
"short_solution": "225"
} |
[
{
"content": "Emani has $30 more money than Howard. If Emani has $150, and they decide to combine and share the money equally, how much money does each get?",
"role": "user"
},
{
"content": "I need to find how much money Howard has, then calculate how much each person gets when they share equally.\n... | true | {
"correct_answer": "If Emani has $150, Howard has $150 - $30 = $120. In total, they have $120 + $150 = $270. When they share this money equally, each gets $270 / 2 people = $135/person. #### 135",
"incorrect_answer": "If Emani has $150 and has $30 more than Howard, then Howard has $150 + $30 = $180. In total, they have $150 + $180 = $330. When they share this money equally, each gets $330 / 2 people = $165/person. #### 165",
"messages": [
{
"content": "Emani has $30 more money than Howard. If Emani has $150, and they decide to combine and share the money equally, how much money does each get?",
"role": "user"
},
{
"content": "If Emani has $150, Howard has $150 - $30 = $<<150-30=120>>120\nIn total, they have $120 + $150 = $<<120+150=270>>270\nWhen they share this money equally, each gets $270 / 2 people = $<<270/2=135>>135/person\n#### 135",
"role": "assistant"
}
],
"short_incorrect_solution": "165",
"short_solution": "135"
} |
[
{
"content": "A luxury perfume costs $1200. The store owner decided to increase its price by 10% so that he could earn more profit. Few weeks had past but the perfume was still not sold. So, the owner decided to lower the price by 15%. By how much was the final price lower than the original price?",
"role":... | true | {
"correct_answer": "There was a $1200 x 10/100 = $120 increase of the original price. So, the perfume was priced for $1200 + $120 = $1320. Then, 15% of the new price is $1320 x 15/100 = $198. So, the final price is now $1320 - $198 = $1122. Therefore, the final price is $1200 - $1122 = $78 lower than the original price.",
"incorrect_answer": "There was a $1200 x 10/100 = $120 increase of the original price. So, the perfume was priced for $1200 + $120 = $1320. Then, the owner reduced the price by 15% of the original price: $1200 x 15/100 = $180. So, the final price is now $1320 - $180 = $1140. Therefore, the final price is $1200 - $1140 = $60 higher than the original price, so it's not lower.",
"messages": [
{
"content": "A luxury perfume costs $1200. The store owner decided to increase its price by 10% so that he could earn more profit. Few weeks had past but the perfume was still not sold. So, the owner decided to lower the price by 15%. By how much was the final price lower than the original price?",
"role": "user"
},
{
"content": "There was a $1200 x 10/100 = $<<1200*10/100=120>>120 increase of the original price.\nSo, the perfume was priced for $1200 + $120 = $<<1200+120=1320>>1320.\nThen, 15% of the new price is $1320 x 15/100 = $<<1320*15/100=198>>198.\nSo, the final price is now $1320 - $198 = $<<1320-198=1122>>1122.\nTherefore, the final price is $1200 - $1122 = $<<1200-1122=78>>78 lower than the original price.\n#### 78",
"role": "assistant"
}
],
"short_incorrect_solution": "$60 higher",
"short_solution": "$78"
} |
[
{
"content": "A couple opened a savings account. The husband gives $335 every week while the wife gives $225 every week. After 6 months of saving (assume 4 weeks in each month), they decided to divide half of the couple's savings into their four children's savings accounts. How much does each child receive?",
... | true | {
"correct_answer": "The husband saves $335 x 4 = $1340 a month. The wife saves $225 x 4 = $900 a month. Together, they save $1340 + $900 = $2240 in a month. In 6 months, their total savings is $2240 x 6 = $13440. Half of the couple's savings is 13440 / 2 = $6720. Therefore, each child will receive 6720 / 4 = $1680.",
"incorrect_answer": "The husband saves $335 x 4 = $1340 a month. The wife saves $225 x 4 = $900 a month. Together, they save $1340 + $900 = $2240 in a month. In 6 months, their total savings is $2240 x 6 = $13440. Therefore, each child will receive 13440 / 4 = $3360.",
"messages": [
{
"content": "A couple opened a savings account. The husband gives $335 every week while the wife gives $225 every week. After 6 months of saving (assume 4 weeks in each month), they decided to divide half of the couple's savings into their four children's savings accounts. How much does each child receive?",
"role": "user"
},
{
"content": "The husband saves $335 x 4 = $<<335*4=1340>>1340 a month.\nThe wife saves $225 x4 = $<<225*4=900>>900 a month.\nTogether, they save $1340 + $900 = $<<1340+900=2240>>2240 in a month.\nIn 6 months, their total savings is $2240 x 6 = $<<2240*6=13440>>13440.\nHalf of the couple's savings is 13440 / 2 = $<<13440/2=6720>>6720.\nTherefore, each child will receive 6720 / 4 = $<<6720/4=1680>>1680.\n#### 1680",
"role": "assistant"
}
],
"short_incorrect_solution": "3360",
"short_solution": "1680"
} |
[
{
"content": "There are 516 cars in a parking lot. One-third are blue, one-half are red, and the rest are black. How many black cars are on the lot?",
"role": "user"
},
{
"content": "I need to find how many black cars are in the parking lot.\n\nGiven information:\n- Total cars: 516\n- One-third are ... | true | {
"correct_answer": "Blue = 516 * (1/3) = 172 cars\nRed = 516 * (1/2) = 258\nBlack = 516 - (172 + 258) = 86\nThere are 86 black cars on the lot.",
"incorrect_answer": "Blue = 516 * (1/3) = 172 cars\nRed = 516 * (1/2) = 258\nBlack = 516 * (1/6) = 86\nThere are 86 black cars on the lot.",
"messages": [
{
"content": "There are 516 cars in a parking lot. One-third are blue, one-half are red, and the rest are black. How many black cars are on the lot?",
"role": "user"
},
{
"content": "Blue = 516 * (1/3) = <<516*(1/3)=172>>172 cars\nRed = 516 * (1/2) = <<516*(1/2)=258>>258\nBlack = 516 - (172 + 258) = 86\nThere are 86 black cars on the lot.\n#### 86",
"role": "assistant"
}
],
"short_incorrect_solution": "86",
"short_solution": "86"
} |
[
{
"content": "Lucy has $65 in the bank. She made a $15 deposit and then followed by a $4 withdrawal. What is Lucy's bank balance?",
"role": "user"
},
{
"content": "I need to calculate Lucy's bank balance after her transactions.\n\nStarting amount: $65\nDeposit: +$15\nWithdrawal: -$4\n\nLet me work t... | true | {
"correct_answer": "Lucy had $65 + $15 = $80 after making a deposit. So, her bank balance is $80 - $4 = $76 after making a withdrawal. #### 76",
"incorrect_answer": "Lucy had $65 + $15 = $80 after making a deposit. So, her bank balance is $80 + $4 = $84 after making a withdrawal. #### 84",
"messages": [
{
"content": "Lucy has $65 in the bank. She made a $15 deposit and then followed by a $4 withdrawal. What is Lucy's bank balance?",
"role": "user"
},
{
"content": "Lucy had $65 + $15 = $<<65+15=80>>80 after making a deposit.\nSo, her bank balance is $80 - $4 = $<<80-4=76>>76 after making a withdrawal.\n#### 76",
"role": "assistant"
}
],
"short_incorrect_solution": "84",
"short_solution": "76"
} |
[
{
"content": "At a convention, 16 of 36 delegates arrived with pre-printed name badges. Half of the remaining delegates made their own, hand-written name badges. How many delegates were not wearing name badges?",
"role": "user"
},
{
"content": "I need to find how many delegates were not wearing name... | true | {
"correct_answer": "There were 36-16=20 without pre-printed name badges. Then 20/2=10 made hand-written badges. There were 20-10=10 with no name badge. #### 10",
"incorrect_answer": "There were 36-16=20 without pre-printed name badges. Then 36/2=18 made hand-written badges. There were 36-16-18=2 with no name badge. #### 2",
"messages": [
{
"content": "At a convention, 16 of 36 delegates arrived with pre-printed name badges. Half of the remaining delegates made their own, hand-written name badges. How many delegates were not wearing name badges?",
"role": "user"
},
{
"content": "There were 36-16=<<36-16=20>>20 without pre-printed name badges.\nThen 20/2=<<20/2=10>>10 made hand-written badges\nThere were 20-10=<<20-10=10>>10 with no name badge.\n#### 10",
"role": "assistant"
}
],
"short_incorrect_solution": "2",
"short_solution": "10"
} |
[
{
"content": "Each purple book has 230 pages. Each orange book contains 510 pages. Mirella read 5 purple books and 4 orange books. How many more orange pages did she read than purple pages?",
"role": "user"
},
{
"content": "I need to find how many more orange pages Mirella read than purple pages.\n\... | true | {
"correct_answer": "Purple = 5 * 230 = 1150 pages\nOrange = 4 * 510 = 2040 pages\n2040 - 1150 = 890\nMirella read 890 more orange pages than purple pages.",
"incorrect_answer": "Purple = 5 * 230 = 1150 pages\nOrange = 4 * 510 = 2040 pages\n1150 + 2040 = 3190\nMirella read 3190 more orange pages than purple pages.",
"messages": [
{
"content": "Each purple book has 230 pages. Each orange book contains 510 pages. Mirella read 5 purple books and 4 orange books. How many more orange pages did she read than purple pages?",
"role": "user"
},
{
"content": "Purple = 5 * 230 = <<5*230=1150>>1150 pages\nOrange = 4 * 510 = <<4*510=2040>>2040 pages\n2040 - 1150 = <<2040-1150=890>>890\nMirella read 890 more orange pages than purple pages.\n#### 890",
"role": "assistant"
}
],
"short_incorrect_solution": "3190",
"short_solution": "890"
} |
[
{
"content": "Ella spends 40% of the money she makes from babysitting on video games. Last year she spent $100. This year she received a 10% raise. What is Ella’s new salary?",
"role": "user"
},
{
"content": "I need to find Ella's new salary after a 10% raise.\n\nLet me work backwards from the infor... | true | {
"correct_answer": "Last year Ella made a total of $100 / (40/100) = $250. This year with her raise, Ella's salary will be $250 * (110/100) = $275. #### 275",
"incorrect_answer": "Last year Ella spent $100 on video games, so with a 10% raise this year she will spend $100 * (110/100) = $110 on video games. Since she spends 40% on video games, her new salary is $110 / (40/100) = $275. #### 275",
"messages": [
{
"content": "Ella spends 40% of the money she makes from babysitting on video games. Last year she spent $100. This year she received a 10% raise. What is Ella’s new salary?",
"role": "user"
},
{
"content": "Last year Ella made a total of $100 / (40/100) = $<<100/(40/100)=250>>250\nThis year with her raise, Ella’s salary will be $250 * (110/100) = $<<250*(110/100)=275>>275\n#### 275",
"role": "assistant"
}
],
"short_incorrect_solution": "275",
"short_solution": "275"
} |
[
{
"content": "John needs to replace his shoes so he decides to buy a $150 pair of Nikes and a $120 pair of work boots. Tax is 10%. How much did he pay for everything?",
"role": "user"
},
{
"content": "I need to calculate the total cost of John's shoes including tax.\n\nFirst, let me find the subto... | true | {
"correct_answer": "The shoes cost $150 + $120 = $270. The tax was $270 * .1 = $27. So the total cost was $270 + $27 = $297",
"incorrect_answer": "The shoes cost $150 + $120 = $270. The tax on the Nikes was $150 * .1 = $15 and the tax on the boots was $120 * .1 = $12, so total tax was $15 + $12 = $27. So the total cost was $270 + $27 = $297",
"messages": [
{
"content": "John needs to replace his shoes so he decides to buy a $150 pair of Nikes and a $120 pair of work boots. Tax is 10%. How much did he pay for everything?",
"role": "user"
},
{
"content": "The shoes cost $150 + $120 = $<<150+120=270>>270\nThe tax was $270 * .1 = $<<270*.1=27>>27\nSo the total cost was $270 + $27 = $<<270+27=297>>297\n#### 297",
"role": "assistant"
}
],
"short_incorrect_solution": "297",
"short_solution": "297"
} |
[
{
"content": "Bethany is working at the front desk at Joe’s Gym. There were some people lifting weights when she started her shift. Then 5 more people came in and started running on the treadmill and 2 people left. There are now 19 people in the gym. How many people were lifting weights at the start of Bethany’... | true | {
"correct_answer": "We know that 5 people came in and 2 people left after Bethany's shift started, so there was a net change of 5 – 2 = 3 people. If there are 19 people now in the gym and that is 3 more than when Bethany's shift started, we know there were 19 – 3 = 16 people lifting weights at the start of her shift.",
"incorrect_answer": "There are 19 people in the gym now. 5 people came in and 2 people left, so we need to add those changes: 19 + 5 + 2 = 26 people were lifting weights at the start of Bethany's shift.",
"messages": [
{
"content": "Bethany is working at the front desk at Joe’s Gym. There were some people lifting weights when she started her shift. Then 5 more people came in and started running on the treadmill and 2 people left. There are now 19 people in the gym. How many people were lifting weights at the start of Bethany’s shift?",
"role": "user"
},
{
"content": "We know that 5 people came in and 2 people left after Bethany’s shift started, so there was a net change of 5 – 2 = <<5-2=3>>3 people.\nIf there are 19 people now in the gym and that is 3 more than when Bethany’s shift started, we know there were 19 – 3 = <<19-3=16>>16 people lifting weights at the start of her shift.\n#### 16",
"role": "assistant"
}
],
"short_incorrect_solution": "26",
"short_solution": "16"
} |
[
{
"content": "Bingo has two dogs. On average, they walk a total of 70 miles a week. The first dog walks an average of 2 miles a day. How many miles a day does the other dog average?",
"role": "user"
},
{
"content": "I need to find how many miles per day the second dog walks.\n\nGiven information:\n-... | true | {
"correct_answer": "The first dog walks 14 miles in a week because 7 x 2 = 14. The second dog walks 56 miles in a week because 70 - 14 = 56. The second dog walks an average of 8 miles a day because 56 / 7 = 8. #### 8",
"incorrect_answer": "The first dog walks 2 miles a day, so the second dog walks 70 - 2 = 68 miles a day on average. #### 68",
"messages": [
{
"content": "Bingo has two dogs. On average, they walk a total of 70 miles a week. The first dog walks an average of 2 miles a day. How many miles a day does the other dog average?",
"role": "user"
},
{
"content": "The first dog walks 14 miles in a week because 7 x 2 = <<7*2=14>>14\nThe second dog walks 56 miles in a week because 70 - 14 = <<70-14=56>>56\nThe second dog walks an average of 8 miles a day because 56 / 7 = <<56/7=8>>8\n#### 8",
"role": "assistant"
}
],
"short_incorrect_solution": "68",
"short_solution": "8"
} |
[
{
"content": "John buys a pair of earbuds that cost $200. If tax was 15%, how much did he pay after tax?",
"role": "user"
},
{
"content": "I need to calculate the total cost including tax.\n\nGiven information:\n- Cost of earbuds: $200\n- Tax rate: 15%\n\nFirst, I'll calculate the tax amount:\nTax ... | true | {
"correct_answer": "The tax was 200*.15=$30. So he paid 200+30=$230. #### 230",
"incorrect_answer": "The tax rate is 15%, so he pays 200*0.15=$30 total. #### 30",
"messages": [
{
"content": "John buys a pair of earbuds that cost $200. If tax was 15%, how much did he pay after tax?",
"role": "user"
},
{
"content": "The tax was 200*.15=$<<200*.15=30>>30\nSo he paid 200+30=$<<200+30=230>>230\n#### 230",
"role": "assistant"
}
],
"short_incorrect_solution": "30",
"short_solution": "230"
} |
[
{
"content": "At Palm Meadows, there are 13 hotel rooms. Eight of the rooms have two beds in them and the rest have three beds. How many beds are there in total?",
"role": "user"
},
{
"content": "I need to find the total number of beds in all 13 hotel rooms.\n\nGiven information:\n- Total rooms: 13\... | true | {
"correct_answer": "There are 13-8 = 5 rooms with three beds. There are 5*3 = 15 beds for those hotel rooms that have three beds in them. There are 8*2 = 16 beds for those hotel rooms that have two beds in them. There are 15+16 = 31 beds in total.",
"incorrect_answer": "There are 8 rooms with two beds, so that's 8*2 = 16 beds. There are 13-8 = 5 rooms with three beds, so that's 5*3 = 15 beds. The total number of beds is 8 + 5 = 13 beds.",
"messages": [
{
"content": "At Palm Meadows, there are 13 hotel rooms. Eight of the rooms have two beds in them and the rest have three beds. How many beds are there in total?",
"role": "user"
},
{
"content": "There are 13-8 = <<13-8=5>>5 rooms with three beds.\nThere are 5*3 = <<5*3=15>>15 beds for those hotel rooms that have three beds in them.\nThere are 8*2 = <<8*2=16>>16 beds for those hotel rooms that have two beds in them.\nThere are 15+16 = <<15+16=31>>31 beds in total.\n#### 31",
"role": "assistant"
}
],
"short_incorrect_solution": "13",
"short_solution": "31"
} |
[
{
"content": "John has a very inefficient toilet that uses 5 gallons of water per flush and his household flushed 15 times per day. He replaced it with a toilet that uses 80% less water per flush. How much water did John save in June?",
"role": "user"
},
{
"content": "I need to find how much water... | true | {
"correct_answer": "He used to use 5*15=75 gallons of water per day. This means he used 75*30=2250 gallons a month. His new toilet uses 5*.8=4 gallons less water per flush. So, it only uses 5-4=1 gallon per flush. That means he uses 1*15=15 gallons per day. All in all, it accounts for a total usage of 15*30=450 gallons. So, he saved 2250-450=1800 gallons per month.",
"incorrect_answer": "He used to use 5*15=75 gallons of water per day. This means he used 75*30=2250 gallons a month. His new toilet uses 80% less water, so it uses 5*0.8=4 gallons per flush. That means he uses 4*15=60 gallons per day. All in all, it accounts for a total usage of 60*30=1800 gallons. So, he saved 2250-1800=450 gallons per month.",
"messages": [
{
"content": "John has a very inefficient toilet that uses 5 gallons of water per flush and his household flushed 15 times per day. He replaced it with a toilet that uses 80% less water per flush. How much water did John save in June?",
"role": "user"
},
{
"content": "He used to use 5*15=<<5*15=75>>75 gallons of water per day.\nThis means he used 75*30=<<75*30=2250>>2250 gallons a month.\nHis new toilet uses 5*.8=<<5*.8=4>>4 gallons less water per flush.\nSo, it only uses 5-4=<<5-4=1>>1 gallon per flush.\nThat means he uses 1*15=<<1*15=15>>15 gallons per day.\nAll in all, it accounts for a total usage of 15*30=<<15*30=450>>450 gallons.\nSo, he saved 2250-450=<<2250-450=1800>>1800 gallons per month.\n#### 1800",
"role": "assistant"
}
],
"short_incorrect_solution": "450",
"short_solution": "1800"
} |
[
{
"content": "The sewers in Middleton can handle 240,000 gallons of run-off. Each hour of rain produces 1000 gallons of runoff. How many days of rain can the sewers handle before they overflow?",
"role": "user"
},
{
"content": "I need to find how many days of rain the sewers can handle before overfl... | true | {
"correct_answer": "First find how many hours of runoff the sewers can handle: 240,000 / 1000 gallons/hour = 240 hours. Then divide that time by the number of hours per day to find how many days of rain the sewers can handle: 240 hours / 24 hours/day = 10 days",
"incorrect_answer": "First find how many hours of runoff the sewers can handle: 240,000 / 1000 gallons/hour = 240 hours. Since there are 240 hours of rain the sewers can handle, that equals 240 days",
"messages": [
{
"content": "The sewers in Middleton can handle 240,000 gallons of run-off. Each hour of rain produces 1000 gallons of runoff. How many days of rain can the sewers handle before they overflow?",
"role": "user"
},
{
"content": "First find how many hours of runoff the sewers can handle: 240,000 / 1000 gallons/hour = <<240000/1000=240>>240 hours\nThen divide that time by the number of hours per day to find how many days of rain the sewers can handle: 240 hours / 24 hours/day = <<240/24=10>>10 days\n#### 10",
"role": "assistant"
}
],
"short_incorrect_solution": "240",
"short_solution": "10"
} |
[
{
"content": "Archie is playing with his marbles outside. He loses 60% of them into the street. Of the remaining ones, he loses half down a sewer. If he has 20 left, how many did he start with?",
"role": "user"
},
{
"content": "I need to work backwards from the 20 marbles Archie has left.\n\nLet me ... | true | {
"correct_answer": "He had 40 before losing them into the sewer because 20 x 2 = 40. He started with 100 because 40/0.4 = 100. #### 100",
"incorrect_answer": "He had 40 before losing them into the sewer because 20 x 2 = 40. Since he lost 60% into the street, he started with 40 + 60 = 100. #### 100",
"messages": [
{
"content": "Archie is playing with his marbles outside. He loses 60% of them into the street. Of the remaining ones, he loses half down a sewer. If he has 20 left, how many did he start with?",
"role": "user"
},
{
"content": "He had 40 before losing them into the sewer because 20 x 2 =<<40=40>>40\nHe started with 100 because 40/.4=<<100=100>>100\n#### 100",
"role": "assistant"
}
],
"short_incorrect_solution": "100",
"short_solution": "100"
} |
[
{
"content": "John decides to get gym memberships so he can get in shape. The gym close to his house is close but doesn't have everything he wants so he gets two different gym memberships. The cheap one costs $10 a month and has a sign-up fee of $50. The second gym is 3 times more expensive and it has a sign... | true | {
"correct_answer": "The cheap gym cost 10*12=$120 for monthly fees. So the total cost was 120+50=$170. The more expensive gym cost 3*10=$30 per month. That means the sign-up fee was 30*4=$120. The monthly fees for the expensive gym comes out to 30*12=$360 per year. So the total cost for the expensive gym was 360+120=$480. So his total cost was 480+170=$650",
"incorrect_answer": "The cheap gym cost 10*12=$120 for monthly fees. So the total cost was 120+50=$170. The more expensive gym cost 3*10=$30 per month. That means the sign-up fee was $30 (one month membership). The monthly fees for the expensive gym comes out to 30*12=$360 per year. So the total cost for the expensive gym was 360+30=$390. So his total cost was 390+170=$560",
"messages": [
{
"content": "John decides to get gym memberships so he can get in shape. The gym close to his house is close but doesn't have everything he wants so he gets two different gym memberships. The cheap one costs $10 a month and has a sign-up fee of $50. The second gym is 3 times more expensive and it has a sign-up fee of 4 months membership. How much total did he pay in the first year for gym membership?",
"role": "user"
},
{
"content": "The cheap gym cost 10*12=$<<10*12=120>>120 for monthly fees\nSo the total cost was 120+50=$<<120+50=170>>170\nThe more expensive gym cost 3*10=$<<3*10=30>>30 per month\nThat means the sign-up fee was 30*4=$<<30*4=120>>120\nThe monthly fees for the expensive gym comes out to 30*12=$<<30*12=360>>360 per year\nSo the total cost for the expensive gym was 360+120=$<<360+120=480>>480\nSo his total cost was 480+170=$<<480+170=650>>650\n#### 650",
"role": "assistant"
}
],
"short_incorrect_solution": "560",
"short_solution": "650"
} |
[
{
"content": "Bobby needed to make some trips with his truck and had only 12 gallons of gasoline. He drives to a supermarket 5 miles away and then drives back home. Then he headed to his farm which was 6 miles away. Two miles into the journey, he turned around and drove back home to retrieve some farming tools ... | true | {
"correct_answer": "The trip to the supermarket and back home covers 5+5=10 miles. The round trip of two miles each before he actually went to the farm covers 2+2=4 miles. Six miles to the farm and the total mileage is 10+4+6=20 miles. The truck consumed 12-2=10 gallons of gasoline for the total journey. So, the rate is 20/10=2 miles per gallon.",
"incorrect_answer": "The trip to the supermarket and back home covers 5+5=10 miles. He drove 2 miles toward the farm, then 2 miles back home, then 6 miles to the farm, for a total of 2+2+6=10 miles. The total mileage is 10+10=20 miles. The truck consumed 12-2=10 gallons of gasoline for the total journey. So, the rate is 20/10=2 miles per gallon.",
"messages": [
{
"content": "Bobby needed to make some trips with his truck and had only 12 gallons of gasoline. He drives to a supermarket 5 miles away and then drives back home. Then he headed to his farm which was 6 miles away. Two miles into the journey, he turned around and drove back home to retrieve some farming tools he forgot to take earlier and drove down to the farm. If he now has exactly 2 gallons of gasoline left, at what rate in miles per gallon has his truck been consuming gasoline?",
"role": "user"
},
{
"content": "The trip to the supermarket and back home covers 5+5=<<5+5=10>>10 miles.\nThe round trip of two miles each before he actually went to the farm covers 2+2=<<2+2=4>>4 miles.\nSix miles to the farm and the total mileage is 10+4+6=<<10+4+6=20>>20 miles.\nThe truck consumed 12-2=<<12-2=10>>10 gallons of gasoline for the total journey.\nSo, the rate is 20/10= <<20/10=2>>2 miles per gallon.\n#### 2",
"role": "assistant"
}
],
"short_incorrect_solution": "2",
"short_solution": "2"
} |
[
{
"content": "Wilfred eats 4 carrots on Tuesday and 6 carrots on Wednesday. If Wilfred wants to eat a total of 15 carrots from Tuesday to Thursday, how many carrots does Wilfred need to eat on Thursday?",
"role": "user"
},
{
"content": "I need to find how many carrots Wilfred needs to eat on Thursda... | true | {
"correct_answer": "Across Tuesday and Wednesday, Wilfred eats 4 + 6 = 10 carrots. On Thursday, Wilfred needs to eat 15 - 10 = 5 carrots.",
"incorrect_answer": "Wilfred eats 4 carrots on Tuesday and 6 carrots on Wednesday. To find how many he needs on Thursday, I add: 4 + 6 + Thursday = 15, so Thursday = 15 + 4 + 6 = 25 carrots.",
"messages": [
{
"content": "Wilfred eats 4 carrots on Tuesday and 6 carrots on Wednesday. If Wilfred wants to eat a total of 15 carrots from Tuesday to Thursday, how many carrots does Wilfred need to eat on Thursday?",
"role": "user"
},
{
"content": "Across Tuesday and Wednesday, Wilfred eats 4 + 6 = <<4+6=10>>10 carrots\nOn Thursday, Wilfred needs to eat 15 - 10 = <<15-10=5>>5 carrots\n#### 5",
"role": "assistant"
}
],
"short_incorrect_solution": "25",
"short_solution": "5"
} |
[
{
"content": "TJ ran a 10K race last Saturday. He ran the first half in 20 minutes. He completed the second half in 30 minutes. What was his average time per kilometer?",
"role": "user"
},
{
"content": "I need to find TJ's average time per kilometer for the entire 10K race.\n\nGiven information:\n- ... | true | {
"correct_answer": "He ran the 10 kilometers in a total of 20 + 30 = 50 minutes. Therefore, he ran at a pace of 50 minutes / 10 kilometers = 5 minutes per kilometer.",
"incorrect_answer": "He ran the first half in 20 minutes, so his pace for the first half was 20/5 = 4 minutes per kilometer. He ran the second half in 30 minutes, so his pace for the second half was 30/5 = 6 minutes per kilometer. His average pace is (4 + 6)/2 = 5 minutes per kilometer.",
"messages": [
{
"content": "TJ ran a 10K race last Saturday. He ran the first half in 20 minutes. He completed the second half in 30 minutes. What was his average time per kilometer?",
"role": "user"
},
{
"content": "He ran the 10 kilometers in a total of 20 + 30 = <<20+30=50>>50 minutes.\nTherefore, he ran at a pace of 50 minutes / 10 kilometers = <<50/10=5>>5 minutes per kilometer.\n#### 5",
"role": "assistant"
}
],
"short_incorrect_solution": "5",
"short_solution": "5"
} |
[
{
"content": "A local school is holding a food drive. Mark brings in 4 times as many cans as Jaydon. Jaydon brings in 5 more than twice the amount of cans that Rachel brought in. If there are 135 cans total, how many cans did Mark bring in?",
"role": "user"
},
{
"content": "I need to find how man... | true | {
"correct_answer": "Let x represent the number of cans Rachel brought in. Jaydon brings 5+2x cans. Mark brings 4(5+2x)=20+8x cans. Total: x+5+2x+20+8x=135. Simplifying: 11x+25=135, so 11x=110, therefore x=10. Mark brought 20+8(10)=100 cans.",
"incorrect_answer": "Let x represent the number of cans Rachel brought in. Jaydon brings 5+2x cans. Mark brings 4x cans (4 times what Rachel brought). Total: x+5+2x+4x=135. Simplifying: 7x+5=135, so 7x=130, therefore x=130/7≈18.57. Since we need whole cans, x=19. Mark brought 4(19)=76 cans.",
"messages": [
{
"content": "A local school is holding a food drive. Mark brings in 4 times as many cans as Jaydon. Jaydon brings in 5 more than twice the amount of cans that Rachel brought in. If there are 135 cans total, how many cans did Mark bring in?",
"role": "user"
},
{
"content": "Let x represent the number of cans Rachel brought in.\nJaydon:5+2x\nMark:4(5+2x)=20+8x\nTotal:x+5+2x+20+8x=135\n11x+25=135\n11x=110\nx=<<10=10>>10\nMark: 20+8(10)=100 cans\n#### 100",
"role": "assistant"
}
],
"short_incorrect_solution": "76",
"short_solution": "100"
} |
[
{
"content": "Laura is hosting a carwash. She will charge $5 for a car, $6 for a truck, and $7 for an SUV. They raised $100 in total. If they washed 5 SUVs and 5 trucks, how many cars did they wash?",
"role": "user"
},
{
"content": "I need to find how many cars Laura washed.\n\nLet me identify what ... | true | {
"correct_answer": "They earned $30 from trucks because 5 x 6 = 30. They earned $35 from SUVs because 5 x 7 = 35. They earned $35 from cars because 100 - 35 - 30 = 35. They washed 7 cars because 35 / 5 = 7. #### 7",
"incorrect_answer": "They earned $30 from trucks because 5 x 6 = 30. They earned $35 from SUVs because 5 x 7 = 35. They earned from cars: 100 - 35 - 30 = 35. They washed 35 cars because that's how much money they made from cars. #### 35",
"messages": [
{
"content": "Laura is hosting a carwash. She will charge $5 for a car, $6 for a truck, and $7 for an SUV. They raised $100 in total. If they washed 5 SUVs and 5 trucks, how many cars did they wash?",
"role": "user"
},
{
"content": "They earned $30 from trucks because 5 x 6 = <<5*6=30>>30\nThey earned $35 from SUVs because 5 x 7 = <<5*7=35>>35\nThey earned $35 from cars because 100 - 35 - 30 = <<100-35-30=35>>35\nThey washed 7 cars because 35 / 5 = <<35/5=7>>7\n#### 7",
"role": "assistant"
}
],
"short_incorrect_solution": "35",
"short_solution": "7"
} |
[
{
"content": "Joanie wants to join a gym to get into shape. The gym costs $12 per month and has a $50 down payment. How much will she need to pay for the first 3 years?",
"role": "user"
},
{
"content": "I need to calculate the total cost for Joanie's gym membership over 3 years.\n\nGiven information... | true | {
"correct_answer": "The membership costs $12 * 12 months = $144 per year. For three years, the monthly membership fee will be $144 * 3 = $432. The total amount paid for 3 years will be $432 + $50 = $482.",
"incorrect_answer": "The membership costs $12 per month for 3 years, which is $12 * 3 = $36. Adding the $50 down payment, the total amount paid for 3 years will be $36 + $50 = $86.",
"messages": [
{
"content": "Joanie wants to join a gym to get into shape. The gym costs $12 per month and has a $50 down payment. How much will she need to pay for the first 3 years?",
"role": "user"
},
{
"content": "The membership costs $12 * 12 months = $<<12*12=144>>144 per year.\nFor three years, the monthly membership fee will be $144 * 3 = $<<144*3=432>>432.\nThe total amount paid for 3 years will be $432 + $50 = $<<432+50=482>>482.\n#### 482",
"role": "assistant"
}
],
"short_incorrect_solution": "86",
"short_solution": "482"
} |
[
{
"content": "Maria wants to paint a picture and needs some tools to do that. She wants to buy a set of brushes for $20 and some canvas for three times more than the brushes. The paint costs Maria $8 per liter, and she needs at least 5 liters. How much money will she earn on the painting if she will be able to ... | true | {
"correct_answer": "Maria wants to pay 3 * 20 = $60 for the canvas. Maria needs 5 liters of paint, so the cost of it would be 8 * 5 = $40. So in total Maria will earn 200 - 40 - 60 - 20 = $80 if she will be able to sell the painting at the mentioned price.",
"incorrect_answer": "Maria wants to pay 3 * 20 = $60 for the canvas. Maria needs 5 liters of paint, so the cost of it would be 8 * 5 = $40. So in total Maria will earn 200 - 40 - 60 = $120 if she will be able to sell the painting at the mentioned price.",
"messages": [
{
"content": "Maria wants to paint a picture and needs some tools to do that. She wants to buy a set of brushes for $20 and some canvas for three times more than the brushes. The paint costs Maria $8 per liter, and she needs at least 5 liters. How much money will she earn on the painting if she will be able to sell it for $200?",
"role": "user"
},
{
"content": "Maria wants to pay 3 * 20 = $<<3*20=60>>60 for the canvas.\nMaria needs 5 liters of paint, so the cost of it would be 8 * 5 = $<<8*5=40>>40.\nSo in total Maria will earn 200 - 40 - 60 - 20 = $<<200-40-60-20=80>>80 if she will be able to sell the painting at the mentioned price.\n#### 80",
"role": "assistant"
}
],
"short_incorrect_solution": "120",
"short_solution": "80"
} |
[
{
"content": "Michelle is bringing sandwiches to work to give to her co-workers. She gives 4 sandwiches to one of her co-workers and keeps twice this amount for herself. If she had originally made 20 sandwiches, how many sandwiches does she have left to give to her other co-workers?",
"role": "user"
},
... | true | {
"correct_answer": "Michelle kept 4 sandwiches * 2 = 8 sandwiches for herself. This leaves 20 total sandwiches – 4 sandwiches for a coworker – 8 sandwiches for herself = 8 sandwiches for her other co-workers. #### 8",
"incorrect_answer": "Michelle kept 4 + 2 = 6 sandwiches for herself. This leaves 20 total sandwiches – 4 sandwiches for a coworker – 6 sandwiches for herself = 10 sandwiches for her other co-workers. #### 10",
"messages": [
{
"content": "Michelle is bringing sandwiches to work to give to her co-workers. She gives 4 sandwiches to one of her co-workers and keeps twice this amount for herself. If she had originally made 20 sandwiches, how many sandwiches does she have left to give to her other co-workers?",
"role": "user"
},
{
"content": "Michelle kept 4 sandwiches * 2 = <<4*2=8>>8 sandwiches for herself.\nThis leaves 20 total sandwiches – 4 sandwiches for a coworker – 8 sandwiches for herself = <<20-4-8=8>>8 sandwiches for her other co-workers.\n#### 8",
"role": "assistant"
}
],
"short_incorrect_solution": "10",
"short_solution": "8"
} |
[
{
"content": "Milo is making a giant loaf of bread, and the recipe calls for pounds of eggs instead of telling him the number. He needs 6 pounds in total. He looks up online that an egg weighs 1/16 of a pound. If he needs 6 pounds of eggs, how many dozen should he buy?",
"role": "user"
},
{
"content... | true | {
"correct_answer": "If one egg weighs 1/16 of a pound then 1 pound will be made up of 1/(1/16) = 16 eggs\nOne pound of eggs is 16 eggs so 6 pounds is 6*16 = 96 eggs\nOne dozen is 12 eggs so 96 eggs will make 96/12 = 8 dozens",
"incorrect_answer": "If one egg weighs 1/16 of a pound, then 6 pounds will be 6 × (1/16) = 6/16 = 3/8 = 0.375 eggs\nSince we can't buy a fraction of an egg, we need to round up to 1 egg\nOne dozen is 12 eggs, so we need 1/12 of a dozen, but since we can't buy partial dozens, we need 1 dozen",
"messages": [
{
"content": "Milo is making a giant loaf of bread, and the recipe calls for pounds of eggs instead of telling him the number. He needs 6 pounds in total. He looks up online that an egg weighs 1/16 of a pound. If he needs 6 pounds of eggs, how many dozen should he buy?",
"role": "user"
},
{
"content": "If one egg weighs 1/16 of a pound then 1 pound will be made up of 1/(1/16) = 16 eggs\nOne pound of eggs is 16 eggs so 6 pounds is 6*16 = <<6*16=96>>96 eggs\nOne dozen is 12 eggs so 96 eggs will make 96/12 = <<96/12=8>>8 dozens\n#### 8",
"role": "assistant"
}
],
"short_incorrect_solution": "1",
"short_solution": "8"
} |
[
{
"content": "Jill makes scented candles as a hobby. Her favorite scents are lavender, coconut, and almond, and she uses the same amount of each scent for every candle. This time, she made twice as many lavender candles as coconut candles, along with a batch of almond candles. She ran out of almond scent after ... | true | {
"correct_answer": "Jill made one and a half times as many coconut candles as almond candles, so she made 10 * 1 1/2 = 15 coconut candles. She made twice as many lavender candles as coconut candles, so she made 2 * 15 = 30 lavender candles. #### 30",
"incorrect_answer": "Jill made 10 almond candles. She made twice as many lavender candles as almond candles, so she made 2 * 10 = 20 lavender candles. #### 20",
"messages": [
{
"content": "Jill makes scented candles as a hobby. Her favorite scents are lavender, coconut, and almond, and she uses the same amount of each scent for every candle. This time, she made twice as many lavender candles as coconut candles, along with a batch of almond candles. She ran out of almond scent after making ten candles. If she had one and a half times as much coconut scent as almond scent and used all her coconut scent up too, how many lavender candles did she make?",
"role": "user"
},
{
"content": "Jill made one and a half times as many coconut candles as almond candles, so she made 10 * 1 1/2 = 15 coconut candles.\nShe made twice as many lavender candles as coconut candles, so she made 2 * 15 = <<2*15=30>>30 lavender candles.\n#### 30",
"role": "assistant"
}
],
"short_incorrect_solution": "20",
"short_solution": "30"
} |
[
{
"content": "John uses the bathroom every 50 minutes. How many times does he use the bathroom during a 2.5-hour movie?",
"role": "user"
},
{
"content": "I need to find how many times John uses the bathroom during a 2.5-hour movie, given that he uses it every 50 minutes.\n\nFirst, let me convert th... | true | {
"correct_answer": "The movie lasts 2.5*60=150 minutes. So he uses the bathroom 150/50=3 times. #### 3",
"incorrect_answer": "John uses the bathroom every 50 minutes, so during a 2.5-hour movie he uses it 2.5*50=125 times. #### 125",
"messages": [
{
"content": "John uses the bathroom every 50 minutes. How many times does he use the bathroom during a 2.5-hour movie?",
"role": "user"
},
{
"content": "The movie last 2.5*60=<<2.5*60=150>>150 minutes\nSo he uses the bathroom 150/50=<<150/50=3>>3 times\n#### 3",
"role": "assistant"
}
],
"short_incorrect_solution": "125",
"short_solution": "3"
} |
[
{
"content": "On each of 7 Mondays, it rained 1.5 centimeters. On each of 9 Tuesdays it rained 2.5 centimeters. How many more centimeters did it rain on Tuesdays than Mondays?",
"role": "user"
},
{
"content": "I need to find the total rainfall on Mondays and Tuesdays, then find the difference.\n\nFi... | true | {
"correct_answer": "Mondays: 7 * 1.5 = 10.5 cm. Tuesdays: 9 * 2.5 = 22.5 cm. 22.5 - 10.5 = 12 cm. It rained 12 centimeters more on Tuesdays than on Mondays.",
"incorrect_answer": "Mondays: 7 * 1.5 = 10.5 cm. Tuesdays: 9 * 2.5 = 22.5 cm. 10.5 + 22.5 = 33 cm. It rained 33 centimeters total.",
"messages": [
{
"content": "On each of 7 Mondays, it rained 1.5 centimeters. On each of 9 Tuesdays it rained 2.5 centimeters. How many more centimeters did it rain on Tuesdays than Mondays?",
"role": "user"
},
{
"content": "Mondays: 7 * 1.5 = <<7*1.5=10.5>>10.5\nTuesdays: 9 * 2.5 = <<9*2.5=22.5>>22.5\n22.5 - 10.5 = <<22.5-10.5=12>>12 cm\nIt rained 12 centimeters more on Tuesdays than on Mondays.\n#### 12",
"role": "assistant"
}
],
"short_incorrect_solution": "33",
"short_solution": "12"
} |
[
{
"content": "Mr. and Mrs. McPherson have to renew their rent by the end of the year. They agreed that Mrs. McPherson would raise 30% of the money. If their rent is $1200 per year, how much does Mr. McPherson need to raise to complete the rent?",
"role": "user"
},
{
"content": "I need to find how mu... | true | {
"correct_answer": "30% of $1200 is (30/100)*$1200 = $360. Mrs. McPherson will pay $360 leaving $1200-$360 = $840 which Mr. McPherson will have to raise. #### 840",
"incorrect_answer": "Mrs. McPherson needs to raise 30% of $1200, which is (30/100)*$1200 = $360. So Mr. McPherson also needs to raise 30%, which is another $360. #### 360",
"messages": [
{
"content": "Mr. and Mrs. McPherson have to renew their rent by the end of the year. They agreed that Mrs. McPherson would raise 30% of the money. If their rent is $1200 per year, how much does Mr. McPherson need to raise to complete the rent?",
"role": "user"
},
{
"content": "30% of $1200 is (30/100)*$1200 = $<<(30/100)*1200=360>>360\nMrs. McPherson will pay $360 leaving $1200-$360 = $<<1200-360=840>>840 which Mr. McPherson will have to raise\n#### 840",
"role": "assistant"
}
],
"short_incorrect_solution": "360",
"short_solution": "840"
} |
[
{
"content": "A high school bowling team's 3 members scored a total of 810 points in their first match. The first bowler scored 1/3 as many points as the second, and the second bowler scored 3 times as high as the third bowler. How many points did the third bowler score?",
"role": "user"
},
{
"con... | true | {
"correct_answer": "Let x represent the score of the third bowler. Bowler 2: 3x. Bowler 1: 3x(1/3) = x. Total: x + 3x + x = 810. 5x = 810. x = 162 points. #### 162",
"incorrect_answer": "Let x represent the score of the third bowler. Bowler 2: 3x. Bowler 1: (1/3)x. Total: (1/3)x + 3x + x = 810. (13/3)x = 810. x = 810 × (3/13) = 187 points. #### 187",
"messages": [
{
"content": "A high school bowling team's 3 members scored a total of 810 points in their first match. The first bowler scored 1/3 as many points as the second, and the second bowler scored 3 times as high as the third bowler. How many points did the third bowler score?",
"role": "user"
},
{
"content": "Let x represent the score of the third bowler\nBowler 2:3x\nBowler 1:3x(1/3)=x\nTotal:x+3x+x=810\n5x=810\nx=<<162=162>>162 points\n#### 162",
"role": "assistant"
}
],
"short_incorrect_solution": "187",
"short_solution": "162"
} |
[
{
"content": "Cupcakes are sold in packages of 10 and 15. Jean bought 4 packs of 15 cupcakes. If she will give one cupcake each to 100 children in the orphanage, how many packs of 10 cupcakes should she need to buy?",
"role": "user"
},
{
"content": "I need to find how many packs of 10 cupcakes Jean... | true | {
"correct_answer": "Jean already bought 15 cupcakes x 4 packs = 60 cupcakes. She needs 100 - 60 = 40 more cupcakes. Thus, she needs to buy 40/10 = 4 packs of 10 cupcakes. #### 4",
"incorrect_answer": "Jean already bought 15 cupcakes x 4 packs = 60 cupcakes. She needs 100 + 60 = 160 cupcakes total. Thus, she needs to buy 160/10 = 16 packs of 10 cupcakes. #### 16",
"messages": [
{
"content": "Cupcakes are sold in packages of 10 and 15. Jean bought 4 packs of 15 cupcakes. If she will give one cupcake each to 100 children in the orphanage, how many packs of 10 cupcakes should she need to buy?",
"role": "user"
},
{
"content": "Jean already bought 15 cupcakes x 4 packs = <<15*4=60>>60 cupcakes.\nShe needs 100 - 60 = <<100-60=40>>40 more cupcakes.\nThus, she needs to buy 40/10 = <<40/10=4>>4 packs of 10 cupcakes.\n#### 4",
"role": "assistant"
}
],
"short_incorrect_solution": "16",
"short_solution": "4"
} |
[
{
"content": "Jon's laundry machine can do 5 pounds of laundry at a time. 4 shirts weigh 1 pound and 2 pairs of pants weigh 1 pound. If he needs to wash 20 shirts and 20 pants, how many loads of laundry does he have to do?",
"role": "user"
},
{
"content": "I need to find how many loads Jon needs t... | true | {
"correct_answer": "The shirts weigh 20/4=5 pounds. The pants weigh 20/2=10 pounds. So he needs to do 10+5=15 pounds of laundry. So that would take 15/5=3 loads of laundry. #### 3",
"incorrect_answer": "The shirts weigh 20×4=80 pounds. The pants weigh 20×2=40 pounds. So he needs to do 80+40=120 pounds of laundry. So that would take 120/5=24 loads of laundry. #### 24",
"messages": [
{
"content": "Jon's laundry machine can do 5 pounds of laundry at a time. 4 shirts weigh 1 pound and 2 pairs of pants weigh 1 pound. If he needs to wash 20 shirts and 20 pants, how many loads of laundry does he have to do?",
"role": "user"
},
{
"content": "The shirts weigh 20/4=<<20/4=5>>5 pounds\nThe pants weigh 20/2=<<20/2=10>>10 pounds\nSo he needs to do 10+5=<<10+5=15>>15 pounds of laundry\nSo that would take 15/5=<<15/5=3>>3 loads of laundry\n#### 3",
"role": "assistant"
}
],
"short_incorrect_solution": "24",
"short_solution": "3"
} |
[
{
"content": "Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topp... | true | {
"correct_answer": "First, calculate all possible combinations without restrictions: 3 cheeses × 4 meats × 5 vegetables = 60 total combinations. However, we must subtract the combinations that have both pepperoni and peppers. There is 1 way to choose pepperoni and 1 way to choose peppers, and these can be combined with any of the 3 cheeses, giving us 3 × 1 × 1 = 3 forbidden combinations. Therefore: 60 - 3 = 57 valid combinations.",
"incorrect_answer": "First, calculate all possible combinations: 3 cheeses × 4 meats × 5 vegetables = 60 total combinations. Since pepperoni and peppers cannot be together, we need to subtract all combinations with pepperoni (which is 3 × 1 × 5 = 15) and all combinations with peppers (which is 3 × 4 × 1 = 12). Therefore: 60 - 15 - 12 = 33 valid combinations.",
"messages": [
{
"content": "Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total?",
"role": "user"
},
{
"content": "Permutate the ingredients. 3 cheeses * 4 meats * 5 vegetables = <<3*4*5=60>>60 choice\nHowever, we must take out the combinations that could have pepperoni and peppers, 1 cheese +1 meat *+1 vegetable = <<1+1+1=3>>3 bad choices\n60 - 3 = <<60-3=57>>57 choices\n#### 57",
"role": "assistant"
}
],
"short_incorrect_solution": "33",
"short_solution": "57"
} |
[
{
"content": "There were a total of 50 guests in a movie screening of which half of the guests are women, 15 are men, and the rest are children. In the middle of the movie, 1/5 of the men and 4 children left. How many people stayed?",
"role": "user"
},
{
"content": "I need to find how many people st... | true | {
"correct_answer": "Being women half of the guests, there were 50/2 = 25 women in the movie screening. Adding the 15 men to the number of women guests, there were 25 + 15 = 40 men and women. From a total of 50 guests, 50 - 40 = 10 were children. Knowing 1/5 of the men left, 15/5 = 3 men left. Thus, 3 men + 4 children = 7 people left in all. Therefore, 50 - 7 = 43 people stayed.",
"incorrect_answer": "Being women half of the guests, there were 50/2 = 25 women in the movie screening. Adding the 15 men to the number of women guests, there were 25 + 15 = 40 men and women. From a total of 50 guests, 50 - 40 = 10 were children. Knowing 1/5 of the men left, 15/5 = 3 men left. In the middle of the movie, 1/5 of women also left, so 25/5 = 5 women left. Thus, 3 men + 5 women + 4 children = 12 people left in all. Therefore, 50 - 12 = 38 people stayed.",
"messages": [
{
"content": "There were a total of 50 guests in a movie screening of which half of the guests are women, 15 are men, and the rest are children. In the middle of the movie, 1/5 of the men and 4 children left. How many people stayed?",
"role": "user"
},
{
"content": "Being women half of the guests, there were 50/2 = <<50/2=25>>25 women in the movie screening.\nAdding the 15 men to the number of women guests, there were 25 + 15 = <<25+15=40>>40 men and women.\nFrom a total of 50 guests, 50 - 40 = <<50-40=10>>10 were children.\nKnowing 1/5 of the men left, 15/5 = <<15/5=3>>3 men left.\nThus, 3 men + 4 children = <<3+4=7>>7 people left in all.\nTherefore, 50 - 7 = <<50-7=43>>43 people stayed.\n#### 43",
"role": "assistant"
}
],
"short_incorrect_solution": "38",
"short_solution": "43"
} |
[
{
"content": "James has barrels that he uses to store water. They store 3 gallons more than twice as much as a large cask. If he has 4 barrels and a cask stores 20 gallons, how much water can he store?",
"role": "user"
},
{
"content": "I need to find how much water James can store in his 4 barrels... | true | {
"correct_answer": "A barrel stores 20*2+3=43 gallons. So he can store 4*43=172 gallons. #### 172",
"incorrect_answer": "A barrel stores 20+3*2=26 gallons. So he can store 4*26=104 gallons. #### 104",
"messages": [
{
"content": "James has barrels that he uses to store water. They store 3 gallons more than twice as much as a large cask. If he has 4 barrels and a cask stores 20 gallons, how much water can he store?",
"role": "user"
},
{
"content": "A barrel stores 20*2+3=<<20*2+3=43>>43 gallons\nSo he can store 4*43=<<4*43=172>>172 gallons\n#### 172",
"role": "assistant"
}
],
"short_incorrect_solution": "104",
"short_solution": "172"
} |
[
{
"content": "Cory bought a patio table and 4 chairs for $135. The patio table cost $55. If each chair cost the same amount, how much did each chair cost?",
"role": "user"
},
{
"content": "I need to find the cost of each chair.\n\nGiven information:\n- Total cost of table and 4 chairs = $135\n- Cost... | true | {
"correct_answer": "The 4 chairs cost Cory $135 - $55 = $80. Each chair costs $80 / 4 = $20.",
"incorrect_answer": "Each chair costs $135 / 4 = $33.75.",
"messages": [
{
"content": "Cory bought a patio table and 4 chairs for $135. The patio table cost $55. If each chair cost the same amount, how much did each chair cost?",
"role": "user"
},
{
"content": "The 4 chairs cost Cory $135 - $55 = $80.\nEach chair costs $80 / 4 = $<<80/4=20>>20.\n#### 20",
"role": "assistant"
}
],
"short_incorrect_solution": "33.75",
"short_solution": "20"
} |
[
{
"content": "Thirty students run in a charity race to raise money for the hurricane victims. Ten of the students raised $20 each. The rest of the students raised $30 each. How much did the students raise in all?",
"role": "user"
},
{
"content": "I need to find the total amount raised by all 30 stud... | true | {
"correct_answer": "Ten students raised a total of $20 x 10 = $200. There are 30 - 10 = 20 students who raised $30 each. Twenty students raised a total of $30 x 20 = $600. Therefore, the students raised a total of $200 + $600 = $800.",
"incorrect_answer": "Ten students raised $20 each and the rest raised $30 each. So the total is $20 x 10 = $200 for the first group and $30 x 10 = $300 for the rest. Therefore, the students raised a total of $200 + $300 = $500.",
"messages": [
{
"content": "Thirty students run in a charity race to raise money for the hurricane victims. Ten of the students raised $20 each. The rest of the students raised $30 each. How much did the students raise in all?",
"role": "user"
},
{
"content": "Ten students raised a total of $20 x 10 = $<<20*10=200>>200.\nThere are 30 - 10 = <<30-10=20>>20 students who raised $30 each.\nTwenty students raised a total of $30 x 20 = $<<30*20=600>>600.\nTherefore, the students raised a total of $200 + $600 = $<<200+600=800>>800.\n#### 800",
"role": "assistant"
}
],
"short_incorrect_solution": "500",
"short_solution": "800"
} |
[
{
"content": "Porter earns $8 per day and works 5 times a week. His manager is asking him to work an extra day that promises him an extra fifty percent on top of his daily rate. How much money will he earn after a month if he renders overtime every week?",
"role": "user"
},
{
"content": "I need to c... | true | {
"correct_answer": "Porter's weekly earning is $8x5 = $40. Porter's monthly earning is $40x4= $160. The extra amount he will earn when he works on his overtime is $8 x 50/100 = $4. So the amount he will earn on his overtime is $8 + $4 = $12. Since he will render overtime once every week, the total overtime pay he will earn in a month is $12 x 4 = $48. Therefore the total money he will earn in a week is $160+$48 = $208.",
"incorrect_answer": "Porter's weekly earning is $8x5 = $40. Porter's monthly earning is $40x4= $160. The extra amount he will earn when he works on his overtime is 50% of his weekly pay, so $40 x 50/100 = $20. Since he will render overtime once every week, the total overtime pay he will earn in a month is $20 x 4 = $80. Therefore the total money he will earn in a month is $160+$80 = $240.",
"messages": [
{
"content": "Porter earns $8 per day and works 5 times a week. His manager is asking him to work an extra day that promises him an extra fifty percent on top of his daily rate. How much money will he earn after a month if he renders overtime every week?",
"role": "user"
},
{
"content": "Porter's weekly earning is $8x5 = $<<8*5=40>>40.\nPorter's monthly earning is $40x4= $<<40*4=160>>160.\nThe extra amount he will earn when he works on his overtime is $8 x 50/100 = $<<8*50/100=4>>4.\nSo the amount he will earn on his overtime is $8 + $4 = $<<8+4=12>>12.\nSince he will render overtime once every week, the total overtime pay he will earn in a month is $12 x 4 = $<<12*4=48>>48.\nTherefore the total money he will earn in a week is $160+$48 = $<<160+48=208>>208.\n#### 208",
"role": "assistant"
}
],
"short_incorrect_solution": "240",
"short_solution": "208"
} |
[
{
"content": "Milena is 7 years old, and her grandmother is 9 times older than her. Milena's grandfather is two years older than her grandmother. What is the age difference between Milena and her grandfather?",
"role": "user"
},
{
"content": "I need to find the age difference between Milena and her ... | true | {
"correct_answer": "Milena's grandmother is 7 * 9 = 63 years old. Her grandfather is 63 + 2 = 65 years old. So the age difference between Milena and her grandfather is 65 - 7 = 58 years.",
"incorrect_answer": "Milena's grandmother is 7 * 9 = 63 years old. Her grandfather is two years older than Milena, so he is 7 + 2 = 9 years old. So the age difference between Milena and her grandfather is 9 - 7 = 2 years.",
"messages": [
{
"content": "Milena is 7 years old, and her grandmother is 9 times older than her. Milena's grandfather is two years older than her grandmother. What is the age difference between Milena and her grandfather?",
"role": "user"
},
{
"content": "Milena's grandmother is 7 * 9 = <<7*9=63>>63 years old.\nHer grandfather is 63 + 2 = <<63+2=65>>65 years old.\nSo the age difference between Milena and her grandfather is 65 - 7 = <<65-7=58>>58 years.\n#### 58",
"role": "assistant"
}
],
"short_incorrect_solution": "2",
"short_solution": "58"
} |
[
{
"content": "A monkey swings from branch to branch at an average distance of 1.2 meters per second. How far will a monkey swing in meters if it consistently swings from branches for 30 minutes?",
"role": "user"
},
{
"content": "I need to find the total distance a monkey will swing in 30 minutes at ... | true | {
"correct_answer": "If a monkey swings 1.2 meters a second then a monkey can swing 1.2 meters/second * 60 seconds/minute = 72 meters in a minute. If a monkey swings 72 meters in a minute then a monkey can swing 72 meters/min * 30 minutes = 2,160 meters in 30 minutes. #### 2160",
"incorrect_answer": "If a monkey swings 1.2 meters a second, then in 30 minutes the monkey will swing 1.2 meters/second * 30 minutes = 36 meters. #### 36",
"messages": [
{
"content": "A monkey swings from branch to branch at an average distance of 1.2 meters per second. How far will a monkey swing in meters if it consistently swings from branches for 30 minutes?",
"role": "user"
},
{
"content": "If a monkey swings 1.2 meters a second then a monkey can swing 1.2 meters/second * 60 seconds/minute = <<1.2*60=72>>72 meters in a minute.\nIf a monkey swings 72 meters in a minute then a monkey can swing 72 meters/min * 30 minutes = <<72*30=2160>>2,160 meters in 30 minutes\n#### 2160",
"role": "assistant"
}
],
"short_incorrect_solution": "36",
"short_solution": "2160"
} |
[
{
"content": "There are 8 loads of laundry that need to be washed. Each load of laundry takes around 45 minutes to complete in the wash cycle and 1 hour in the dry cycle. How long, in hours, will it take to complete the entire set of laundry?",
"role": "user"
},
{
"content": "I need to figure out ho... | true | {
"correct_answer": "Each load takes 60 + 45 = 105 minutes. There are 8 loads that take 8*105 = 840 minutes. It takes 840/60 = 14 hours.",
"incorrect_answer": "Each load takes 45 minutes to wash, so 8 loads take 8*45 = 360 minutes. Converting to hours: 360/60 = 6 hours.",
"messages": [
{
"content": "There are 8 loads of laundry that need to be washed. Each load of laundry takes around 45 minutes to complete in the wash cycle and 1 hour in the dry cycle. How long, in hours, will it take to complete the entire set of laundry?",
"role": "user"
},
{
"content": "Each load takes 60 + 45 = <<60+45=105>>105 minutes\nThere are 8 loads that take 8*105=<<8*105=840>>840 minutes\nIt takes 840/60=<<840/60=14>>14 hours\n#### 14",
"role": "assistant"
}
],
"short_incorrect_solution": "6",
"short_solution": "14"
} |
[
{
"content": "Mr. Wong harvested 560 mangoes from the tree outside his house. He sold half of it at the market and distributed the rest evenly among 8 of his neighbors. How many mangoes does each neighbor receive?",
"role": "user"
},
{
"content": "I need to find how many mangoes each neighbor receiv... | true | {
"correct_answer": "Mr. Wong had 560/2 = 280 mangoes left after selling half at the market. Each of his neighbors received 280/8 = 35 mangoes.",
"incorrect_answer": "Each neighbor received 560/8 = 70 mangoes. Mr. Wong distributed all the mangoes among his 8 neighbors without selling any at the market first.",
"messages": [
{
"content": "Mr. Wong harvested 560 mangoes from the tree outside his house. He sold half of it at the market and distributed the rest evenly among 8 of his neighbors. How many mangoes does each neighbor receive?",
"role": "user"
},
{
"content": "Mr. Wong had 560/2 = <<560/2=280>>280 mangoes left\nEach of his neighbors received 280/8 = <<280/8=35>>35 mangoes\n#### 35",
"role": "assistant"
}
],
"short_incorrect_solution": "70",
"short_solution": "35"
} |
[
{
"content": "Emmy has a collection of 14 iPods. She loses 6 out of the 14 she had but she still has twice as many as Rosa. How many iPods does Emmy and Rosa have together?",
"role": "user"
},
{
"content": "I need to find how many iPods Emmy and Rosa have together.\n\nLet me start by figuring out ho... | true | {
"correct_answer": "Emmy has 14-6 = 8 iPods left. Rosa has 8/2 = 4 iPods. Emmy and Rosa have 8+4 = 12 iPods together.",
"incorrect_answer": "Emmy has 14-6 = 8 iPods left. Since Emmy has twice as many as Rosa, Rosa has 8×2 = 16 iPods. Emmy and Rosa have 8+16 = 24 iPods together.",
"messages": [
{
"content": "Emmy has a collection of 14 iPods. She loses 6 out of the 14 she had but she still has twice as many as Rosa. How many iPods does Emmy and Rosa have together?",
"role": "user"
},
{
"content": "Emmy has 14-6 = <<14-6=8>>8 iPods left.\nRosa has 8/2 = <<8/2=4>>4 iPods.\nEmmy and Rosa have 8+4 = <<8+4=12>>12 iPods together.\n#### 12",
"role": "assistant"
}
],
"short_incorrect_solution": "24",
"short_solution": "12"
} |
[
{
"content": "Julia bought 3 packs of red balls, 10 packs of yellow balls, and 8 packs of green balls. There were 19 balls in each package. How many balls did Julie buy in all?",
"role": "user"
},
{
"content": "I need to find the total number of balls Julia bought.\n\nFirst, let me find the total nu... | true | {
"correct_answer": "The total number of packages is 3 + 10 + 8 = 21. Julia bought 21 × 19 = 399 balls.",
"incorrect_answer": "Julia bought 3 × 19 = 57 red balls, 10 × 19 = 190 yellow balls, and 8 × 19 = 152 green balls. Then she bought 57 + 190 + 152 = 389 balls in total.",
"messages": [
{
"content": "Julia bought 3 packs of red balls, 10 packs of yellow balls, and 8 packs of green balls. There were 19 balls in each package. How many balls did Julie buy in all?",
"role": "user"
},
{
"content": "The total number of packages is 3 + 10 + 8 = <<3+10+8=21>>21.\nJulia bought 21 × 19 = <<21*19=399>>399 balls.\n#### 399",
"role": "assistant"
}
],
"short_incorrect_solution": "389",
"short_solution": "399"
} |
[
{
"content": "Jason has six fish in his aquarium. He realizes that every day the number of fish doubles. On the third day he takes out one-third of the fish. On the fifth day he takes out one-fourth of the fish. On the seventh day he adds 15 more fish. How many fish in total does he have?",
"role": "user"
... | true | {
"correct_answer": "Start by finding how many fish were in the aquarium on the third day 6 * 2 * 2 = 24. On day three, Jason took out one-third of the fish 24 / 3 = 8. So at the end of day three, he has 24 - 8 = 16 fish. On day five he has 16 * 2 * 2 = 64 fish, but he takes out one-fourth. So he took out 64 / 4 = 16 fishes. So at the end of day five, he has 64 - 16 = 48 fish. On day seven he has 48 * 2 * 2 = 192 fish. He adds in 15 more, so he has 192 + 15 = 207 fish in total.",
"incorrect_answer": "Start by finding how many fish were in the aquarium on the third day 6 * 2 * 2 = 24. On day three, Jason took out one-third of the fish 24 / 3 = 8. So at the end of day three, he has 24 - 8 = 16 fish. On day five he has 16 * 2 = 32 fish, but he takes out one-fourth. So he took out 32 / 4 = 8 fishes. So at the end of day five, he has 32 - 8 = 24 fish. On day seven he has 24 * 2 = 48 fish. He adds in 15 more, so he has 48 + 15 = 63 fish in total.",
"messages": [
{
"content": "Jason has six fish in his aquarium. He realizes that every day the number of fish doubles. On the third day he takes out one-third of the fish. On the fifth day he takes out one-fourth of the fish. On the seventh day he adds 15 more fish. How many fish in total does he have?",
"role": "user"
},
{
"content": "Start by finding how many fish were in the aquarium on the third day 6 * 2 * 2 = <<6*2*2=24>>24.\nOn day three, Jason took out one-third of the fish 24 / 3 = <<24/3=8>>8.\nSo at the end of day three, he has 24 - 8 = <<24-8=16>>16 fish.\nOn day five he has 16 * 2 * 2 = 64 fish, but he takes out one-fourth.\nSo he took out 64 / 4 = <<64/4=16>>16 fishes.\nSo at the end of day five, he has 64 - 16 = <<64-16=48>>48 fish.\nOn day seven he has 48 * 2 * 2 = <<48*2*2=192>>192 fish.\nHe adds in 15 more, so he has 192 + 15 = <<192+15=207>>207 fish in total.\n#### 207",
"role": "assistant"
}
],
"short_incorrect_solution": "63",
"short_solution": "207"
} |
[
{
"content": "Diego baked 12 cakes for his sister's birthday. Donald also baked 4 cakes, but ate 1 while waiting for the party to start. How many cakes are left?",
"role": "user"
},
{
"content": "I need to find the total number of cakes left after accounting for what was eaten.\n\nLet me break this ... | true | {
"correct_answer": "The total number of cakes baked is 12 + 4 = 16 cakes. But since Donald ate 1 cake, there are 16 - 1 = 15 cakes left.",
"incorrect_answer": "Diego baked 12 cakes and Donald baked 4 cakes, so there are 12 + 4 = 16 cakes left.",
"messages": [
{
"content": "Diego baked 12 cakes for his sister's birthday. Donald also baked 4 cakes, but ate 1 while waiting for the party to start. How many cakes are left?",
"role": "user"
},
{
"content": "The total number of cakes baked is 12 + 4 = <<12+4=16>>16 cakes.\nBut since Diego ate 1 cake, there are 16 - 1 = <<16-1=15>>15 cakes left.\n#### 15",
"role": "assistant"
}
],
"short_incorrect_solution": "16",
"short_solution": "15"
} |
[
{
"content": "Beatrice is shopping for a new TV. First she looks at 8 TVs at one store in person. Then she looks at three times as many TVs at an online store. She looks at more TVs on an auction site online. If Beatrice looked at 42 TVs in all, how many did look at on the auction site?",
"role": "user"
}... | true | {
"correct_answer": "Beatrice looked at 3 x 8 TVs at an online store = 24 TVs. She looked at 8 TVs in person + 24 TVs online = 32 TVs. Beatrice looked at 42 TVs in all - the 32 she looked at = 10 TVs she looked at on an auction site.",
"incorrect_answer": "Beatrice looked at 3 x 8 TVs at an online store = 24 TVs. She looked at 8 TVs in person + 24 TVs online + 42 TVs total = 74 TVs. Wait, that's not right. She looked at 42 - 8 = 34 TVs online total, so 34 - 24 = 10 TVs on the auction site.",
"messages": [
{
"content": "Beatrice is shopping for a new TV. First she looks at 8 TVs at one store in person. Then she looks at three times as many TVs at an online store. She looks at more TVs on an auction site online. If Beatrice looked at 42 TVs in all, how many did look at on the auction site?",
"role": "user"
},
{
"content": "Beatrice looked at 3 x 8 TVs at an online store = <<3*8=24>>24 TVs.\nShe looked at 8 TVs in person + 24 TVs online = <<8+24=32>>32 TVs.\nBeatrice looked at 42 TVs in all - the 32 she looked at = <<42-32=10>>10 TVs she looked at on an auction site.\n#### 10",
"role": "assistant"
}
],
"short_incorrect_solution": "14",
"short_solution": "10"
} |
[
{
"content": "Ian is looking to lose some weight. He decides to start jogging around his apartment complex every night to burn some calories. He does 5 laps around the complex every night. Each lap is 100 feet. If it takes 25 feet of jogging to burn a calorie, how many calories does Ian burn after 5 days of... | true | {
"correct_answer": "First, we need to determine how many feet Ian runs in 5 days. We begin this by multiplying the number of laps by the number of feet per lap, performing 5*100= 500 feet per day. Since there are 5 days in the period being measured, this means Ian runs 500*5= 2500 feet jogged. Since it takes 25 feet of jogging to burn a calorie, this means Ian burns 2500/25=100 calories burned jogging throughout the 5 days.",
"incorrect_answer": "First, we need to determine how many feet Ian runs per day. He does 5 laps at 100 feet each, so that's 5*100= 500 feet per day. Since it takes 25 feet of jogging to burn a calorie, Ian burns 500/25=20 calories per day. After 5 days, he burns 20 calories total.",
"messages": [
{
"content": "Ian is looking to lose some weight. He decides to start jogging around his apartment complex every night to burn some calories. He does 5 laps around the complex every night. Each lap is 100 feet. If it takes 25 feet of jogging to burn a calorie, how many calories does Ian burn after 5 days of jogging like this?",
"role": "user"
},
{
"content": "First, we need to determine how many feet Ian runs in a week. We begin this by multiplying the number of laps by the number of feet per lap, performing 5*100= <<5*100=500>>500 feet per day.\nSince there are 5 days in the period being measured, this means Ian runs 500*5= <<2500=2500>>2500 feet jogged.\nSince it takes 25 feet of jogging to burn a calorie, this means Ian burns 2500/25=<<2500/25=100>>100 calories burned jogging throughout the week.\n#### 100",
"role": "assistant"
}
],
"short_incorrect_solution": "20",
"short_solution": "100"
} |
[
{
"content": "Shyne can grow 14 eggplants in every seed packet and 10 sunflowers in every seed packet. She bought 4 seed packets of eggplants and 6 seed packets of sunflower, how many plants can Shyne grow in her backyard?",
"role": "user"
},
{
"content": "I need to find the total number of plants S... | true | {
"correct_answer": "Shyne can grow 14 x 4 = 56 eggplants. She can grow 10 x 6 = 60 sunflowers. So, she can grow a total of 56 + 60 = 116 plants in her backyard.",
"incorrect_answer": "Shyne can grow 14 x 6 = 84 eggplants. She can grow 10 x 4 = 40 sunflowers. So, she can grow a total of 84 + 40 = 124 plants in her backyard.",
"messages": [
{
"content": "Shyne can grow 14 eggplants in every seed packet and 10 sunflowers in every seed packet. She bought 4 seed packets of eggplants and 6 seed packets of sunflower, how many plants can Shyne grow in her backyard?",
"role": "user"
},
{
"content": "Shyne can grow 14 x 4 = <<14*4=56>>56 eggplants.\nShe can grow 10 x 6 = <<10*6=60>>60 sunflowers.\nSo, she can grow a total of 56 + 60 = <<56+60=116>>116 plants in her backyard.\n#### 116",
"role": "assistant"
}
],
"short_incorrect_solution": "124",
"short_solution": "116"
} |
[
{
"content": "In the Oprah Winfrey High School marching band, each trumpet and clarinet player carries 5 pounds of weight, each trombone player carries 10 pounds of weight, each tuba player carries 20 pounds of weight, and each drum player carries 15 pounds of weight. If there are 6 trumpets, 9 clarinets, 8 tro... | true | {
"correct_answer": "First find the total number of clarinet and trumpet players: 6 players + 9 players = 15 players. Then find the total weight of the trumpets and clarinets: 15 players * 5 pounds/player = 75 pounds. Then find the total weight of the trombones: 8 players * 10 pounds/player = 80 pounds. Then find the total weight of the tubas: 3 players * 20 pounds/player = 60 pounds. Then find the total weight of the drummers: 2 drummers * 15 pounds/player = 30 pounds. Then add the weight of each type of instrument to find the total weight: 75 pounds + 80 pounds + 60 pounds + 30 pounds = 245 pounds",
"incorrect_answer": "First find the total weight of the trumpets: 6 players * 5 pounds/player = 30 pounds. Then find the total weight of the clarinets: 9 players * 5 pounds/player = 45 pounds. Then find the total weight of the trombones: 8 players * 10 pounds/player = 80 pounds. Then find the total weight of the tubas: 3 players * 20 pounds/player = 60 pounds. Then find the total weight of the drummers: 2 drummers * 15 pounds/player = 30 pounds. Then add the weight of each type of instrument to find the total weight: 30 pounds + 45 pounds + 80 pounds + 60 pounds = 215 pounds",
"messages": [
{
"content": "In the Oprah Winfrey High School marching band, each trumpet and clarinet player carries 5 pounds of weight, each trombone player carries 10 pounds of weight, each tuba player carries 20 pounds of weight, and each drum player carries 15 pounds of weight. If there are 6 trumpets, 9 clarinets, 8 trombones, 3 tubas, and 2 drummers, how much weight does the total marching band carry?",
"role": "user"
},
{
"content": "First find the total number of clarinet and trumpet players: 6 players + 9 players = <<6+9=15>>15 players\nThen find the total weight of the trumpets and clarinets: 15 players * 5 pounds/player = <<15*5=75>>75 pounds\nThen find the total weight of the trombones: 8 players * 10 pounds/player = <<8*10=80>>80 pounds\nThen find the total weight of the tubas: 3 players * 20 pounds/player = <<3*20=60>>60 pounds\nThen find the total weight of the drummers: 2 drummers * 15 pounds/player = <<2*15=30>>30 pounds\nThen add the weight of each type of instrument to find the total weight: 75 pounds + 80 pounds + 60 pounds + 30 pounds = <<75+80+60+30=245>>245 pounds\n#### 245",
"role": "assistant"
}
],
"short_incorrect_solution": "215 pounds",
"short_solution": "245 pounds"
} |
[
{
"content": "On a normal day, Julia can run a mile in 10 minutes. However, today she decided to wear her new shoes to run. They were uncomfortable and slowed her mile down to 13 minutes. How much longer would it take Julia to run 5 miles in her new shoes than if she wore her old ones?",
"role": "user"
},... | true | {
"correct_answer": "With her regular shoes, it should take 5*10=50 minutes to run five miles. If she wore her new shoes it would take 13*5=65 minutes to run five miles. 65-50=15 more minutes",
"incorrect_answer": "With her regular shoes, it should take 5*10=50 minutes to run five miles. If she wore her new shoes it would take 13*5=65 minutes to run five miles. So it takes 65 minutes total",
"messages": [
{
"content": "On a normal day, Julia can run a mile in 10 minutes. However, today she decided to wear her new shoes to run. They were uncomfortable and slowed her mile down to 13 minutes. How much longer would it take Julia to run 5 miles in her new shoes than if she wore her old ones?",
"role": "user"
},
{
"content": "With her regular shoes, it should take 5*10=<<5*10=50>>50 minutes to run five miles\nIf she wore her new shoes it would take 13*5=<<13*5=65>>65 minutes to run five miles\n65-50=<<65-50=15>>15 more minutes\n#### 15",
"role": "assistant"
}
],
"short_incorrect_solution": "65",
"short_solution": "15"
} |
[
{
"content": "Cat Cafe Meow has 3 times as many cats as Cat Cafe Paw. Cat Cafe Paw has 2 times as many cats as Cat Cafe Cool. If Cat Cafe Cool has 5 cats, how many cats are there in Cat Cafe Meow and Cat Cafe Paw?",
"role": "user"
},
{
"content": "I need to find the number of cats in Cat Cafe Meow a... | true | {
"correct_answer": "Cat Cafe Paw has 2*5=10 cats in total. Cat Cafe Meow has 3*10=30 cats in total. Cat Cafe Meow and Cat Cafe Paw have a total of 30+10=40 cats.",
"incorrect_answer": "Cat Cafe Paw has 2*5=10 cats in total. Cat Cafe Meow has 3*5=15 cats in total. Cat Cafe Meow and Cat Cafe Paw have a total of 15+10=25 cats.",
"messages": [
{
"content": "Cat Cafe Meow has 3 times as many cats as Cat Cafe Paw. Cat Cafe Paw has 2 times as many cats as Cat Cafe Cool. If Cat Cafe Cool has 5 cats, how many cats are there in Cat Cafe Meow and Cat Cafe Paw?",
"role": "user"
},
{
"content": "Cat Cafe Paw has 2*5=<<2*5=10>>10 cats in total.\nCat Cafe Meow has 3*10=<<3*10=30>>30 cats in total.\nCat Cafe Meow and Cat Cafe Paw have a total of 30+10=<<30+10=40>>40 cats.\n#### 40",
"role": "assistant"
}
],
"short_incorrect_solution": "25",
"short_solution": "40"
} |
[
{
"content": "Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using ra... | true | {
"correct_answer": "First find how many ounces of fruit Bill will need total: 12 ounces/batch * 4 batches = <<12*4=48>>48 ounces\nThen find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces/carton = <<48/6=8>>8 cartons\nThen multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons * $5/carton = $<<8*5=40>>40\nThen find how many cartons of raspberries Bill would need: 48 ounces / 8 ounces/carton = <<48/8=6>>6 cartons\nThen multiply that number by the cost per carton to find the total cost of the raspberries: 6 cartons * $3/carton = $<<6*3=18>>18\nThen subtract the cost of the raspberries from the cost of the blueberries to find the difference: $40 - $18 = $<<40-18=22>>22\n#### 22",
"incorrect_answer": "First find how many ounces of fruit Bill will need total: 12 ounces/batch * 4 batches = <<12*4=48>>48 ounces\nThen find the cost per ounce for blueberries: $5.00 / 6 ounces = $<<5/6=0.83>>0.83 per ounce\nThen find the cost per ounce for raspberries: $3.00 / 8 ounces = $<<3/8=0.375>>0.375 per ounce\nThen find the total cost for blueberries: 48 ounces * $0.83/ounce = $<<48*0.83=39.84>>39.84\nThen find the total cost for raspberries: 48 ounces * $0.375/ounce = $<<48*0.375=18>>18\nThen subtract to find the savings: $39.84 - $18 = $<<39.84-18=21.84>>21.84\n#### 21.84",
"messages": [
{
"content": "Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using raspberries instead of blueberries?",
"role": "user"
},
{
"content": "First find how many ounces of fruit Bill will need total: 12 ounces/batch * 4 batches = <<12*4=48>>48 ounces\nThen find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces/carton = <<48/6=8>>8 cartons\nThen multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons * $5/carton = $<<8*5=40>>40\nThen find how many cartons of raspberries Bill would need: 48 ounces / 8 ounces/carton = <<48/8=6>>6 cartons\nThen multiply that number by the cost per carton to find the total cost of the raspberries: 6 cartons * $3/carton = $<<6*3=18>>18\nThen subtract the cost of the raspberries from the cost of the blueberries to find the difference: $40 - $18 = $<<40-18=22>>22\n#### 22",
"role": "assistant"
}
],
"short_incorrect_solution": "21.84",
"short_solution": "22"
} |
[
{
"content": "It was reported that 2000 cases of Coronavirus had been confirmed in the state of New York in May 2020. There was half the number of cases in California, which had 400 more cases than the state of Texas. What's the total number of cases that had been confirmed in all of these states?",
"role":... | true | {
"correct_answer": "If California had half the number of Coronavirus cases in New York, then the number of cases was 2000/2 = 1000 cases. California had 400 more cases than the state of Texas, thus Texas had 1000-400 = 600 cases. The total number of Coronavirus cases in all of the three states is 600+1000+2000 = 3600 cases.",
"incorrect_answer": "If California had half the number of Coronavirus cases in New York, then the number of cases was 2000/2 = 1000 cases. Texas had 400 more cases than California, so Texas had 1000+400 = 1400 cases. The total number of Coronavirus cases in all of the three states is 1400+1000+2000 = 4400 cases.",
"messages": [
{
"content": "It was reported that 2000 cases of Coronavirus had been confirmed in the state of New York in May 2020. There was half the number of cases in California, which had 400 more cases than the state of Texas. What's the total number of cases that had been confirmed in all of these states?",
"role": "user"
},
{
"content": "If California had half the number of Coronavirus cases in New York, then the number of cases was 2000/2 = <<2000/2=1000>>1000 cases.\nCalifornia had 400 more cases than the state of Texas, thus Texas had 1000-400 = <<1000-400=600>>600 cases.\nThe total number of Coronavirus cases in all of the three states is 600+1000+2000 = <<600+1000+2000=3600>>3600 cases.\n#### 3600",
"role": "assistant"
}
],
"short_incorrect_solution": "4400",
"short_solution": "3600"
} |
[
{
"content": "There are 20 boys and 11 girls in the second grade and twice that number in the third grade. How many students are in grades 2 and 3?",
"role": "user"
},
{
"content": "I need to find the total number of students in grades 2 and 3.\n\nFirst, let me find the number of students in grade 2... | true | {
"correct_answer": "There are 20 + 11 = 31 students in second grade. There are 31 x 2 = 62 students in third grade. In total, there are 31 + 62 = 93 students.",
"incorrect_answer": "There are 20 + 11 = 31 students in second grade. There are 20 x 2 = 40 boys and 11 x 2 = 22 girls in third grade, so 40 + 22 = 62 students in third grade. In total, there are 31 + 62 = 93 students.",
"messages": [
{
"content": "There are 20 boys and 11 girls in the second grade and twice that number in the third grade. How many students are in grades 2 and 3?",
"role": "user"
},
{
"content": "There are 20 + 11 = <<20+11=31>>31 students in second grade.\nThere are 31 x 2 = <<31*2=62>>62 students in third grade.\nIn total, there are 31 + 62 = <<31+62=93>>93 students.\n#### 93",
"role": "assistant"
}
],
"short_incorrect_solution": "93",
"short_solution": "93"
} |
[
{
"content": "Marcus is making calzones. It takes him 20 minutes to saute the onions and a quarter of that time to saute the garlic and peppers. It takes him 30 minutes to knead the dough, twice as long to let it rest, and 1/10th the combined kneading and resting time to assemble the calzones. How many minutes ... | true | {
"correct_answer": "First find the amount of time it takes Marcus to saute the garlic and peppers: 20 minutes / 4 = 5 minutes. Then find the dough's resting time: 30 minutes * 2 = 60 minutes. Then add the kneading and resting time to find the total dough time: 60 minutes + 30 minutes = 90 minutes. Then multiply that amount by 1/10th to find the assembly time: 90 minutes / 10 = 9 minutes. Then add the saute time, knead time, rest time and assembly time to find the total time Marcus spends on the calzones: 9 minutes + 20 minutes + 5 minutes + 60 minutes + 30 minutes = 124 minutes",
"incorrect_answer": "First find the amount of time it takes Marcus to saute the garlic and peppers: 20 minutes / 4 = 5 minutes. Then find the dough's resting time: 30 minutes * 2 = 60 minutes. Then find the assembly time by taking 1/10th of just the kneading time: 30 minutes / 10 = 3 minutes. Then add the saute time, knead time, rest time and assembly time to find the total time Marcus spends on the calzones: 3 minutes + 20 minutes + 5 minutes + 60 minutes + 30 minutes = 118 minutes",
"messages": [
{
"content": "Marcus is making calzones. It takes him 20 minutes to saute the onions and a quarter of that time to saute the garlic and peppers. It takes him 30 minutes to knead the dough, twice as long to let it rest, and 1/10th the combined kneading and resting time to assemble the calzones. How many minutes does Marcus spend on the calzones total?",
"role": "user"
},
{
"content": "First find the amount of time it takes Marcus to saute the garlic and peppers: 20 minutes / 4 = <<20/4=5>>5 minutes\nThen find the dough's resting time: 30 minutes * 2 = <<30*2=60>>60 minutes\nThen add the kneading and resting time to find the total dough time: 60 minutes + 30 minutes = <<60+30=90>>90 minutes\nThen multiply that amount by 1/10th to find the assembly time: 90 minutes / 10 = <<90/10=9>>9 minutes\nThen add the saute time, knead time, rest time and assembly time to find the total time Marcus spends on the calzones: 9 minutes + 20 minutes + 5 minutes + 60 minutes + 30 minutes = <<9+20+5+60+30=124>>124 minutes\n#### 124",
"role": "assistant"
}
],
"short_incorrect_solution": "118",
"short_solution": "124"
} |
[
{
"content": "There are 34 kids signed up to compete in the talent show. There are 22 more girls than boys signed up to compete. How many girls are signed up to compete in the talent show?",
"role": "user"
},
{
"content": "I need to find the number of girls signed up for the talent show.\n\nLet me d... | true | {
"correct_answer": "Let me call the number of boys B and the number of girls G. We know that B + G = 34 (total kids) and G = B + 22 (22 more girls than boys). Substituting the second equation into the first: B + (B + 22) = 34, so 2B + 22 = 34, which gives us 2B = 12, so B = 6. Therefore G = 6 + 22 = 28 girls are signed up to compete.",
"incorrect_answer": "If there are 34 kids total and 22 more girls than boys, then we can just subtract: 34 - 22 = 12 girls are signed up to compete.",
"messages": [
{
"content": "There are 34 kids signed up to compete in the talent show. There are 22 more girls than boys signed up to compete. How many girls are signed up to compete in the talent show?",
"role": "user"
},
{
"content": "There are 34 kids signed up – 22 we know are girls = 12 are girls and boys.\nWe can divide the 12 girls and boys / 2 = <<12/2=6>>6 boys are competing and 6 girls are competing.\nThat means there are 6 + 22 = <<6+22=28>>28 girls competing.\n#### 28",
"role": "assistant"
}
],
"short_incorrect_solution": "12",
"short_solution": "28"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.