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34
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "34", "style": "rule-lighteval/MATH_v2" }
{ "index": "9a9b6eb4-a1cb-49d1-8c1e-62eaf2f74079" }
"<|begin▁of▁sentence|><|User|>In triangle $ABC$, $\\sin \\angle A = \\frac{4}{5}$ and $\(...TRUNCATED)
["Okay, so I have this geometry problem here, and I need to figure out the value of \\( AB + AC \\) (...TRUNCATED)
[ 0, 0, 0, 0, 0, 0, 0, 1 ]
[ null, null, "22", null, null, null, null, "34" ]
113
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "113", "style": "rule-lighteval/MATH_v2" }
{ "index": "b426d104-244d-4831-a2c4-cd756b61700a" }
"<|begin▁of▁sentence|><|User|>Let $ABCD$ be a unit square in the plane. Points $X$ and $(...TRUNCATED)
["Okay, so I need to find the expected area of triangle AXY where X and Y are two points chosen inde(...TRUNCATED)
[ 0, 0, 1, 0, 0, 0, 0, 1 ]
[ "29", "223", "113", null, "5", "115", null, "113" ]
-3
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "-3", "style": "rule-lighteval/MATH_v2" }
{ "index": "6ff0b17f-7e5c-4ae9-b5e9-63ebecd2b9f7" }
"<|begin▁of▁sentence|><|User|>Let $a, b, c$ be distinct numbers such that the equations (...TRUNCATED)
["Alright, let me try to tackle this problem. So, we have three distinct numbers a, b, c. The proble(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1 ]
[ "-3", "-3", "-3", "-3", "-3", "-3", "-3", "-3" ]
3
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "3", "style": "rule-lighteval/MATH_v2" }
{ "index": "186c94eb-3f6a-43b1-b2a4-f7dec58b7318" }
"<|begin▁of▁sentence|><|User|>There are $7$ boxes arranged in a row and numbered $1$ thr(...TRUNCATED)
["Alright, let's try to figure out which box the last card, the 2015th card, will end up in. So, we'(...TRUNCATED)
[ 1, 1, 1, 0, 1, 1, 1, 1 ]
[ "3", "3", "3", "5", "3", "3", "3", "3" ]
37
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "37", "style": "rule-lighteval/MATH_v2" }
{ "index": "485b39f5-e71b-42b3-931f-219becbee2a3" }
"<|begin▁of▁sentence|><|User|>Let $S$ be the set of triples $(a,b,c)$ of non-negative in(...TRUNCATED)
["Okay, so I need to find the sum over all triples (a, b, c) of non-negative integers where a + b + (...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1 ]
[ "37", "37", "37", "37", "37", "37", "37", "37" ]
10
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "10", "style": "rule-lighteval/MATH_v2" }
{ "index": "96bd487f-c324-41b4-8015-f8234fe31bb4" }
"<|begin▁of▁sentence|><|User|>For which $n$ is $n^4 + 6n^3 + 11n^2 + 3n + 31$ a perfect (...TRUNCATED)
["Okay, so I have this problem here: For which integers \\( n \\) is \\( n^4 + 6n^3 + 11n^2 + 3n + 3(...TRUNCATED)
[ 0, 0, 1, 0, 1, 1, 1, 1 ]
[ null, null, "10", null, "10", "10", "10", "10" ]
10
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "10", "style": "rule-lighteval/MATH_v2" }
{ "index": "b9fe2231-060d-4b0a-bf73-7d4cfc8b7dd0" }
"<|begin▁of▁sentence|><|User|>Four positive integers $a, b, c, d$ satisfy the condition (...TRUNCATED)
["Alright, so I have this problem here: four positive integers a, b, c, d satisfy a < b < c < d. I n(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1 ]
[ "10", "10", "10", "10", "10", "10", "10", "10" ]
2
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "2", "style": "rule-lighteval/MATH_v2" }
{ "index": "29f6a98f-0730-48f6-b637-2e902c24d9bd" }
"<|begin▁of▁sentence|><|User|>$n$ coins are arranged in a circle. If two neighboring coi(...TRUNCATED)
["Okay, so I came across this interesting problem today. It goes like this: \n\n*$n$ coins are arran(...TRUNCATED)
[ 0, 0, 0, 1, 0, 0, 0, 0 ]
[ null, null, null, "2", null, null, null, null ]
509
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "509", "style": "rule-lighteval/MATH_v2" }
{ "index": "4c4f3cb8-c7ae-4f8e-b9eb-d2fcfc2dd442" }
"<|begin▁of▁sentence|><|User|>Determine the smallest prime $p$ such that $2018!$ is divi(...TRUNCATED)
["Alright, so I have this problem: I need to find the smallest prime \\( p \\) such that \\( 2018! \(...TRUNCATED)
[ 0, 1, 1, 1, 1, 1, 1, 1 ]
[ null, "509", "509", "509", "509", "509", "509", "509" ]
3
math_dapo
[{"content":"Solve the following math problem step by step. The last line of your response should be(...TRUNCATED)
MATH
{ "ground_truth": "3", "style": "rule-lighteval/MATH_v2" }
{ "index": "e4eede97-5bed-4a2a-9b64-5de4e8cde3e8" }
"<|begin▁of▁sentence|><|User|>Suppose you have a sphere tangent to the $xy$-plane with i(...TRUNCATED)
["Okay, so I have this geometry problem here. Let me try to parse it step by step.\n\nWe have a sphe(...TRUNCATED)
[ 0, 0, 0, 0, 1, 0, 0, 0 ]
[ null, null, null, null, "3", null, null, null ]
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