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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, so I need to solve this problem where I have to find the number of values n where the function f(x) = sin(7π·sin(5x)) is zero in the interval 0 < x < 2π. Then, out of these n values, I have to find how many points t where the graph is tangent to the x-axis. Finally, add n and t together to get the answer....
[ { "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, so I need to solve this coding problem where I have to count the number of nonempty strings t (where t is not "a") such that the given string s can be partitioned into substrings that are either t or "a", and there's at least one substring that's t. Let me try to understand the problem step by step. Firs...
[{"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, so I need to solve this problem about valid permutations based on the operations des(...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 me try to figure out this problem. So, we have a 2xN grid, each cell has an inte(...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, so I need to solve this problem where Alya has to construct a permutation of numbers(...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, so I need to solve this elections problem where I have to determine, for each candid(...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 mice would have different levels of high-aff(...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 functions of molecules Al1, Al2, and Rga1 based on the e(...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, so I need to solve this problem where I have to calculate the sum of the scores of a(...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. Let me start by understanding what's given(...TRUNCATED)
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mlfoundations-dev/fig1_all_light_r1_eval_2e29

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo CodeForces LiveCodeBenchv5 AIME25 HLE
Accuracy 39.7 78.2 85.6 31.4 54.0 43.4 22.4 7.2 6.9 12.1 31.0 6.4

AIME24

  • Average Accuracy: 39.67% ± 2.08%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 46.67% 14 30
2 50.00% 15 30
3 36.67% 11 30
4 40.00% 12 30
5 36.67% 11 30
6 30.00% 9 30
7 36.67% 11 30
8 36.67% 11 30
9 50.00% 15 30
10 33.33% 10 30

AMC23

  • Average Accuracy: 78.25% ± 0.94%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 77.50% 31 40
2 72.50% 29 40
3 80.00% 32 40
4 77.50% 31 40
5 75.00% 30 40
6 82.50% 33 40
7 77.50% 31 40
8 77.50% 31 40
9 80.00% 32 40
10 82.50% 33 40

MATH500

  • Accuracy: 85.60%
    Accuracy Questions Solved Total Questions
    85.60% 428 500

MMLUPro

  • Average Accuracy: 31.40% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 31.40% 157 500

JEEBench

  • Average Accuracy: 54.01% ± 0.60%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 52.57% 270.75 515
2 54.51% 280.75 515
3 54.95% 283.0 515

GPQADiamond

  • Average Accuracy: 43.43% ± 1.67%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 39.39% 78 198
2 44.95% 89 198
3 45.96% 91 198

LiveCodeBench

  • Average Accuracy: 22.37% ± 0.07%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 22.31% 114 511
2 22.50% 115 511
3 22.31% 114 511

CodeElo

  • Average Accuracy: 7.25% ± 0.34%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 7.93% 31 391
2 6.91% 27 391
3 6.91% 27 391

CodeForces

  • Average Accuracy: 6.92% ± 0.27%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 7.28% 33 453
2 7.06% 32 453
3 6.40% 29 453

LiveCodeBenchv5

  • Average Accuracy: 12.10% ± 0.45%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 11.65% 43 369
2 13.01% 48 369
3 11.65% 43 369

AIME25

  • Average Accuracy: 31.00% ± 1.34%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 30.00% 9 30
2 26.67% 8 30
3 33.33% 10 30
4 26.67% 8 30
5 36.67% 11 30
6 30.00% 9 30
7 26.67% 8 30
8 40.00% 12 30
9 30.00% 9 30
10 30.00% 9 30

HLE

  • Average Accuracy: 6.38% ± 0.45%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 5.27% 27 512
2 6.84% 35 512
3 7.03% 36 512
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