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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. So, the problem is about the function f(x) = sin(7π * sin(5x)) and we need to find the number of values n where x is between 0 and 2π such that f(x) = 0. Then, among those n values, we need to find how many t of them the graph is tangent to the x-axis. The final ans...
[ { "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 see. I need to solve this problem where I have to count the number of nonempty strings t ≠ "a" such that the string s can be partitioned into some substrings, each being either t or "a", with at least one t. The answer is the count of such possible t's. Hmm. So, for each test case s, I need to find...
[{"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 solve this problem where given a permutation of size n and q op(...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 solve this problem where I have to find the maximum possible co(...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 for each test case n, I have to generate a permut(...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 have to find the minimum nu(...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, so I need to figure out which groups of mutant mice would have a different titer of (...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 correct answer here. The question is about determining t(...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 scores for all non-e(...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, let's try to tackle this geometry problem step by step. It seems a bit complex, but (...TRUNCATED)
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mlfoundations-dev/fig1_scaling_openthoughts_1k_eval_2e29

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo CodeForces LiveCodeBenchv5 AIME25 HLE
Accuracy 16.7 51.0 72.4 27.0 36.8 35.2 27.0 5.0 6.3 15.9 15.0 0.0

AIME24

  • Average Accuracy: 16.67% ± 1.25%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 16.67% 5 30
2 16.67% 5 30
3 16.67% 5 30
4 23.33% 7 30
5 13.33% 4 30
6 23.33% 7 30
7 16.67% 5 30
8 10.00% 3 30
9 13.33% 4 30
10 16.67% 5 30

AMC23

  • Average Accuracy: 51.00% ± 0.88%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 52.50% 21 40
2 50.00% 20 40
3 45.00% 18 40
4 52.50% 21 40
5 52.50% 21 40
6 47.50% 19 40
7 52.50% 21 40
8 52.50% 21 40
9 50.00% 20 40
10 55.00% 22 40

MATH500

  • Accuracy: 72.40%
    Accuracy Questions Solved Total Questions
    72.40% 362 500

MMLUPro

  • Average Accuracy: 27.00% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 27.00% 135 500

JEEBench

  • Average Accuracy: 36.84% ± 0.68%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 35.19% 181.25 515
2 37.82% 194.75 515
3 37.52% 193.25 515

GPQADiamond

  • Average Accuracy: 35.19% ± 0.50%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 34.85% 69 198
2 36.36% 72 198
3 34.34% 68 198

LiveCodeBench

  • Average Accuracy: 27.01% ± 0.79%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 26.42% 135 511
2 26.03% 133 511
3 28.57% 146 511

CodeElo

  • Average Accuracy: 5.03% ± 0.60%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 4.86% 19 391
2 4.09% 16 391
3 6.14% 24 391

CodeForces

  • Average Accuracy: 6.25% ± 0.85%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 4.64% 21 453
2 6.62% 30 453
3 7.51% 34 453

LiveCodeBenchv5

  • Average Accuracy: 15.90% ± 0.92%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 17.07% 63 369
2 16.53% 61 369
3 14.09% 52 369

AIME25

  • Average Accuracy: 15.00% ± 1.18%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 23.33% 7 30
2 13.33% 4 30
3 10.00% 3 30
4 16.67% 5 30
5 16.67% 5 30
6 13.33% 4 30
7 10.00% 3 30
8 16.67% 5 30
9 13.33% 4 30
10 16.67% 5 30

HLE

  • Average Accuracy: 0.00% ± 0.00%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 0.00% 0 512
2 0.00% 0 512
3 0.00% 0 512
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