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[ { "content": "Problem: There are $n$ values of $x$ in the interval $0<x<2\\pi$ where $f(x)=\\sin(7\\pi\\cdot\\sin(5x))=0$. For $t$ of these $n$ values of $x$, the graph of $y=f(x)$ is tangent to the $x$-axis. Find $n+t$.\nMark your solution with \\boxed\nAnswer:", "role": "user" } ]
{ "do_sample": false, "max_new_tokens": 32768, "seed": 9, "temperature": 0.7 }
9
23
AIME25
{ "expected_answer": "149", "problem_id": "II-9", "reference_rationale": null, "reference_solution": "", "subject": null, "type": null }
<think> Okay, let's tackle this problem step by step. The question is about finding the number of solutions \( n \) where \( f(x) = \sin(7\pi \sin(5x)) = 0 \) in the interval \( 0 < x < 2\pi \). Then, among these solutions, we need to find how many \( t \) of them are points where the graph is tangent to the x-axis. Fi...
[ { "content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
88
CodeElo
{ "expected_answer": "", "problem_id": "", "reference_rationale": null, "reference_solution": "", "subject": null, "type": null }
<think> Okay, let's try to figure out this problem. So, the task is to count the number of non-empty strings t (that's not "a") such that the given string s can be partitioned into some substrings, each of which is either t or "a", and at least one substring is t. Hmm, right. First, let's understand the problem. We ne...
[{"content":"\"You are a coding expert. Given a competition-level coding problem, you need to write (...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 1, "temperature": 0.7 }
1
40
CodeElo
{"expected_answer":"","problem_id":"","reference_rationale":null,"reference_solution":"","subject":n(...TRUNCATED)
"<think>\nOkay, let's see. I need to find the number of valid permutations based on the given l and (...TRUNCATED)
[{"content":"You are a coding expert. Given a competition-level coding problem, you need to write a (...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 1, "temperature": 0.7 }
1
104
CodeForces
{"expected_answer":"","problem_id":"","reference_rationale":null,"reference_solution":"","subject":n(...TRUNCATED)
"<think>\nOkay, let's see. I need to find the maximum possible cost of a path from (1,1) to (2,n) af(...TRUNCATED)
[{"content":"\"You are a coding expert. Given a competition-level coding problem, you need to write (...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
378
CodeElo
{"expected_answer":"","problem_id":"","reference_rationale":null,"reference_solution":"","subject":n(...TRUNCATED)
"<think>\nOkay, I need to solve this problem where I have to construct a permutation of numbers from(...TRUNCATED)
[{"content":"\"You are a coding expert. Given a competition-level coding problem, you need to write (...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
49
CodeElo
{"expected_answer":"","problem_id":"","reference_rationale":null,"reference_solution":"","subject":n(...TRUNCATED)
"<think>\nOkay, I need to solve this problem where for each candidate i, I have to find the minimum (...TRUNCATED)
[{"content":"Your response should be in the following format:\nExplanation: {your explanation for yo(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
120
HLESubset
{"expected_answer":"B","problem_id":"670013827794cc36bc974f27","reference_rationale":"B cell product(...TRUNCATED)
"<think>\nOkay, let's try to figure out this question step by step. So, the problem is about underst(...TRUNCATED)
[{"content":"Your response should be in the following format:\nExplanation: {your explanation for yo(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
223
HLESubset
{"expected_answer":"G","problem_id":"671d9e9d29e7fde7166e474d","reference_rationale":"1. Metals.\nIt(...TRUNCATED)
"<think>\nOkay, let's try to figure out the answer to this question. So, the problem is about determ(...TRUNCATED)
[{"content":"Generate an executable Python function generated from the given prompt. The function sh(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
111
LiveCodeBenchV5
{"expected_answer":"","problem_id":"","reference_rationale":null,"reference_solution":"","subject":n(...TRUNCATED)
"<think>\nOkay, I need to solve this problem where I have to compute the sum of the scores of all no(...TRUNCATED)
[{"content":"In this problem, multiple options can be correct. Give a detailed solution and end the (...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
35
JEEBench
{"expected_answer":"ABC","problem_id":"48","reference_rationale":null,"reference_solution":null,"sub(...TRUNCATED)
"<think>\nOkay, so I need to solve this geometry problem step by step. Let me first parse all the gi(...TRUNCATED)
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mlfoundations-dev/fig1_all_openthoughts_eval_2e29

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo CodeForces LiveCodeBenchv5 AIME25 HLE
Accuracy 41.7 78.0 84.8 29.6 48.6 48.8 40.2 15.1 18.0 29.2 23.7 0.9

AIME24

  • Average Accuracy: 41.67% ± 1.78%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 33.33% 10 30
2 43.33% 13 30
3 43.33% 13 30
4 36.67% 11 30
5 50.00% 15 30
6 33.33% 10 30
7 50.00% 15 30
8 43.33% 13 30
9 43.33% 13 30
10 40.00% 12 30

AMC23

  • Average Accuracy: 78.00% ± 1.31%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 77.50% 31 40
2 80.00% 32 40
3 85.00% 34 40
4 80.00% 32 40
5 77.50% 31 40
6 70.00% 28 40
7 72.50% 29 40
8 77.50% 31 40
9 82.50% 33 40
10 77.50% 31 40

MATH500

  • Accuracy: 84.80%
    Accuracy Questions Solved Total Questions
    84.80% 424 500

MMLUPro

  • Average Accuracy: 29.60% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 29.60% 148 500

JEEBench

  • Average Accuracy: 48.64% ± 0.41%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 49.56% 255.25 515
2 48.54% 250.0 515
3 47.82% 246.25 515

GPQADiamond

  • Average Accuracy: 48.82% ± 1.22%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 49.49% 98 198
2 51.01% 101 198
3 45.96% 91 198

LiveCodeBench

  • Average Accuracy: 40.25% ± 0.64%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 39.92% 204 511
2 39.33% 201 511
3 41.49% 212 511

CodeElo

  • Average Accuracy: 15.09% ± 1.03%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 15.09% 59 391
2 16.88% 66 391
3 13.30% 52 391

CodeForces

  • Average Accuracy: 18.03% ± 0.94%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 19.87% 90 453
2 16.78% 76 453
3 17.44% 79 453

LiveCodeBenchv5

  • Average Accuracy: 29.18% ± 0.24%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 29.54% 109 369
2 29.27% 108 369
3 28.73% 106 369

AIME25

  • Average Accuracy: 23.67% ± 1.91%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 20.00% 6 30
2 23.33% 7 30
3 20.00% 6 30
4 23.33% 7 30
5 23.33% 7 30
6 20.00% 6 30
7 23.33% 7 30
8 16.67% 5 30
9 40.00% 12 30
10 26.67% 8 30

HLE

  • Average Accuracy: 0.91% ± 0.14%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 0.59% 3 512
2 1.17% 6 512
3 0.98% 5 512
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