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Collin learned that he could earn $0.25 per aluminum can that he brought into the recycling center. He found 12 cans at home and three times as many at his grandparents' house. His neighbor gave him 46. His dad brought home 250 cans from the office. His dad told him he could keep the money from the cans he brought...
43
gsm8k
gsm8k
[ { "content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y...
[]
[]
backtrack
He found 12 and his grandparents gave him three times that amount so he got 12*3 = <<12*3=36>>36 cans from his grandparents All total he collected 12 cans, the 36 from his grandparents, 46 from the neighbor and 250 from his dad for a total of 12+36+46+250 = <<12+36+46+250=344>>344 cans Each can is worth $0.25 so .25*34...
math
numeric_equivalence
gsm8k
main
gsm8k_5027
boxed_number
elementary_math
arithmetic_word_problems
[ "Let's break down the problem step by step:\n\n1. **Cans Collected**: \n - Collin finds 12 cans at home.\n - He finds three times as many at his grandparents' house.\n \\[\n 3 \\times 12 = 36 \\text{ cans}\n \\]\n - His neighbor gives him 46 cans.\n - His dad brings home 250 cans.\n\n2. **Total ...
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Saheed made four times as much money as Kayla. Kayla made $30 less than Vika. Vika made $84. How many dollars did Saheed make?
216
gsm8k
gsm8k
[ { "content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y...
[]
[]
backtrack
Kayla made $30 less than Vika = $84 - 30 = 54. Saheed made 4*Kayla = 4*54 = 216 #### 216
math
numeric_equivalence
gsm8k
main
gsm8k_1941
boxed_number
elementary_math
arithmetic_word_problems
[ "Let's break down the problem step by step:\n\n1. **Vika's earnings**: \n - Vika made $84.\n \n2. **Kayla's earnings**:\n - Kayla made $30 less than Vika.\n - Therefore, Kayla's earnings = $84 - $30 = $54.\n \n3. **Saheed's earnings**:\n - Saheed made four times as much money as Kayla.\n - Therefore, ...
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[ [ { "comparison_type": "mathematical", "correct_answer": "216", "evaluation_method": "math_equivalence", "extracted_answer": "$216", "is_equivalent": false } ], [ { "comparison_type": "mathematical", "correct_answer": "216", "evaluation_method": "math_...
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Brian goes fishing twice as often as Chris, but catches 2/5 times fewer fish than Chris per trip. If Brian caught 400 fish every time he went fishing, how many fish did they catch altogether if Chris went fishing 10 times?
13600
gsm8k
gsm8k
[ { "content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y...
[]
[]
backtrack
If Brian caught 400 fish in one trip, he caught 2*400=<<400*2=800>>800 fish in two trips. Since Brian catches 2/5 times less fish than Chris per trip, Chris catches 2/5*400=<<2/5*400=160>>160 more fish in one fishing trip. Chris's total number of fish in one trip is 400+160 = <<400+160=560>>560 fish. In 10 trips, Chris...
math
numeric_equivalence
gsm8k
main
gsm8k_5218
boxed_number
elementary_math
arithmetic_word_problems
[ "Let's start by figuring out how often each person goes fishing.\n\nStep 1: Determine how often Brian goes fishing.\nSince Brian goes fishing twice as often as Chris, we can calculate his frequency as follows:\n\n\\[ \\text{Brian's trips} = 2 \\times \\text{Chris's trips} \\]\n\nGiven that Chris went fishing 10 tim...
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A quarterback steps back to throw 80 times in a game. 30 percent of the time he does not get a pass thrown. Half of the times that he does not throw the ball he is sacked for a loss. How many times is the quarterback sacked for a loss in the game?
12
gsm8k
gsm8k
[ { "content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y...
[]
[]
backtrack
No pass thrown:80(.30)=24 Sacked:24/2=<<24/2=12>>12 #### 12
math
numeric_equivalence
gsm8k
main
gsm8k_3857
boxed_number
elementary_math
arithmetic_word_problems
[ "Let's break down the information given:\n\n1. The quarterback throws the ball 80 times.\n2. 30% of the time he does not get a pass thrown.\n - This means he gets a pass thrown 70% of the time (since 100% - 30% = 70%).\n\nNow let's calculate how many times he doesn't get a pass thrown:\n- 30% of 80 = 0.30 * 80 = ...
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[ { "comparison_type": "mathematical", "correct_answer": "12", "evaluation_method": "math_equivalence", "extracted_answer": "12", "extraction_result": null, "is_equivalent": true, "reason": null }, { "comparison_type": null, "correct_answer": null, "evaluation_method": "res...
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[ [ { "comparison_type": "mathematical", "correct_answer": "12", "evaluation_method": "math_equivalence", "extracted_answer": "12", "is_equivalent": true } ], [], [ { "comparison_type": "mathematical", "correct_answer": "12", "evaluation_method": "math...
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 12, "pass_at_n": 1, "percent_correct": 0.75, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, ...
The spacecraft Gibraltar is a mountain-sized intergalactic vehicle for transporting equipment, building materials, and families to establish colonies on far-away planets. At full capacity, the vehicle can carry 300 family units with four people per family. The space flight is expected to take years, and it is expecte...
300
gsm8k
gsm8k
[ { "content": "You like to solve problems by intentionally making mistakes then fixing them, then giving an answer. Think step by step, introduce an error, recognize it, fix it, finish out the rest of the reasoning, then give your answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, y...
[]
[]
backtrack
The full capacity of the ship is 300 * 4 = <<300*4=1200>>1200 people. One-third of capacity is 1200/3 = <<1200/3=400>>400 people. 100 less than one-third capacity is 400 - 100 = 300 people. #### 300
math
numeric_equivalence
gsm8k
main
gsm8k_2154
boxed_number
elementary_math
arithmetic_word_problems
[ "Let's break down the problem:\n\n1. **Full Capacity Calculation**: \n - Full capacity = Number of family units * People per family.\n - Full capacity = \\(300 \\text{ family units} \\times 4 \\text{ people/family} = 1200 \\text{ people}\\).\n\n2. **Carrying Capacity After Adjustment**:\n - Carrying capacity ...
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[ [ { "comparison_type": "mathematical", "correct_answer": "300", "evaluation_method": "math_equivalence", "extracted_answer": "400", "is_equivalent": false } ], [ { "comparison_type": "mathematical", "correct_answer": "300", "evaluation_method": "math_e...
{ "flips_by": [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], "flips_total": 0, "num_correct": 5, "pass_at_n": 1, "percent_correct": 0.3125, "skill_count": { "answer_revision": [ 0, 0, 0, 0, 0, 0, ...
"On Blacks, Martha goes to the mall to buy clothes on sale. For every 2 jackets she buys, she gets 1(...TRUNCATED)
18
gsm8k
gsm8k
[{"content":"You like to solve problems by intentionally making mistakes then fixing them, then givi(...TRUNCATED)
[]
[]
backtrack
"For buying 4 jackets Martha gets 4 jackets / 2 = <<4/2=2>>2 jackets for free\nFor buying 9 t-shirts(...TRUNCATED)
math
numeric_equivalence
gsm8k
main
gsm8k_6618
boxed_number
elementary_math
arithmetic_word_problems
["Let's break down the problem step by step:\n\n1. **Jackets**: Martha wants to buy 4 jackets.\n -(...TRUNCATED)
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[{"comparison_type":"mathematical","correct_answer":"18","evaluation_method":"math_equivalence","ext(...TRUNCATED)
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[[{"confidence":1.0,"extraction_type":"internal","original_span":"18","pattern_used":"answer tag","p(...TRUNCATED)
[[{"comparison_type":"mathematical","correct_answer":"18","evaluation_method":"math_equivalence","ex(...TRUNCATED)
{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":5,"pass_at_n":1,"percent(...TRUNCATED)
"Wendy works at a chocolate factory packing chocolates. She can package 2 dozen chocolates in 5 min(...TRUNCATED)
1152
gsm8k
gsm8k
[{"content":"You like to solve problems by intentionally making mistakes then fixing them, then givi(...TRUNCATED)
[]
[]
backtrack
"There are 60 minutes in an hour and she packs chocolate in 5-minute increments. So that's 60/5 = <<(...TRUNCATED)
math
numeric_equivalence
gsm8k
main
gsm8k_5265
boxed_number
elementary_math
arithmetic_word_problems
["Let's break down the problem:\n\n1. Wendy packages 2 dozen chocolates in 5 minutes.\n - There ar(...TRUNCATED)
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gsm8k
gsm8k
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[]
[]
backtrack
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math
numeric_equivalence
gsm8k
main
gsm8k_1325
boxed_number
elementary_math
arithmetic_word_problems
["Let's break down Sally's earnings over the two months:\n\n### Step 1: Calculate her earnings from (...TRUNCATED)
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"Alex is on a cross-country bike trip. After starting this morning, he manages an average speed over(...TRUNCATED)
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gsm8k
gsm8k
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[]
[]
backtrack
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math
numeric_equivalence
gsm8k
main
gsm8k_5754
boxed_number
elementary_math
arithmetic_word_problems
["Let's break down Alex's journey into segments:\n\n1. **Flat Ground Segment**: \n - Speed = 20 mp(...TRUNCATED)
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"Voldemort had his dinner and ate a piece of cake that has 110 calories. He also ate 1 pack of chips(...TRUNCATED)
525
gsm8k
gsm8k
[{"content":"You like to solve problems by intentionally making mistakes then fixing them, then givi(...TRUNCATED)
[]
[]
backtrack
"For the night he was able to intake 110 + 310 + 215 = <<110+310+215=635>>635 calories\nFor breakfas(...TRUNCATED)
math
numeric_equivalence
gsm8k
main
gsm8k_7025
boxed_number
elementary_math
arithmetic_word_problems
["Alright, let's break down Voldemort's daily caloric intake:\n\n1. **Breakfast**: 560 calories\n2. (...TRUNCATED)
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[[],[],[{"confidence":1.0,"extraction_type":"internal","original_span":"525","pattern_used":"answer (...TRUNCATED)
[[],[],[{"comparison_type":"mathematical","correct_answer":"525","evaluation_method":"math_equivalen(...TRUNCATED)
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