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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 there are n values of x in the interval 0 < x < 2π where the function f(x) = sin(7π sin(5x)) equals zero. Then, out of these n values, t of them are points where the graph is tangent to the x-axis. I need to find n + t. Hmm, let me start by understanding each part ste...
[ { "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 possible nonempty strings t (where t is not "a") such that the entire string s can be partitioned into substrings that are either t, "a", and at least one of them is t. Hmm. Let's break this down. For a given t, we need to spli...
[{"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 given the sequences of l_(...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 can swap columns any number of times(...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 integers fro(...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 programming problem. Let's read the problem carefully and under(...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>\nAlright, so I've got this question about antibodies and somatic hypermutation in different(...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>\nAlright, I've got this enzyme efficiency problem to solve. So, the question is about figur(...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 programming problem. Let's read the problem carefully and under(...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 start by understanding(...TRUNCATED)
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mlfoundations-dev/fig1_all_bespoke_stratos_eval_2e29

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo CodeForces LiveCodeBenchv5 AIME25 HLE
Accuracy 23.7 67.8 78.6 29.4 44.8 42.4 39.9 13.5 15.2 30.3 21.0 1.7

AIME24

  • Average Accuracy: 23.67% ± 1.79%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 26.67% 8 30
2 16.67% 5 30
3 36.67% 11 30
4 20.00% 6 30
5 16.67% 5 30
6 26.67% 8 30
7 20.00% 6 30
8 23.33% 7 30
9 23.33% 7 30
10 26.67% 8 30

AMC23

  • Average Accuracy: 67.75% ± 1.48%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 62.50% 25 40
2 67.50% 27 40
3 80.00% 32 40
4 65.00% 26 40
5 67.50% 27 40
6 65.00% 26 40
7 65.00% 26 40
8 70.00% 28 40
9 70.00% 28 40
10 65.00% 26 40

MATH500

  • Accuracy: 78.60%
    Accuracy Questions Solved Total Questions
    78.60% 393 500

MMLUPro

  • Average Accuracy: 29.40% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 29.40% 147 500

JEEBench

  • Average Accuracy: 44.82% ± 0.47%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 44.17% 227.5 515
2 44.32% 228.25 515
3 45.97% 236.75 515

GPQADiamond

  • Average Accuracy: 42.42% ± 1.33%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 39.39% 78 198
2 42.93% 85 198
3 44.95% 89 198

LiveCodeBench

  • Average Accuracy: 39.92% ± 0.41%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 40.70% 208 511
2 39.33% 201 511
3 39.73% 203 511

CodeElo

  • Average Accuracy: 13.47% ± 1.33%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 11.25% 44 391
2 15.86% 62 391
3 13.30% 52 391

CodeForces

  • Average Accuracy: 15.23% ± 1.00%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 14.35% 65 453
2 17.22% 78 453
3 14.13% 64 453

LiveCodeBenchv5

  • Average Accuracy: 30.26% ± 1.01%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 29.54% 109 369
2 32.25% 119 369
3 29.00% 107 369

AIME25

  • Average Accuracy: 21.00% ± 1.06%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 16.67% 5 30
2 26.67% 8 30
3 20.00% 6 30
4 16.67% 5 30
5 20.00% 6 30
6 16.67% 5 30
7 23.33% 7 30
8 23.33% 7 30
9 23.33% 7 30
10 23.33% 7 30

HLE

  • Average Accuracy: 1.69% ± 0.14%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 1.95% 10 512
2 1.76% 9 512
3 1.37% 7 512
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