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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 }
To solve the problem, we need to determine the number of values \( n \) where \( f(x) = \sin(7\pi \cdot \sin(5x)) = 0 \) in the interval \( 0 < x < 2\pi \), and the number of these \( n \) values where the graph of \( y = f(x) \) is tangent to the \( x \)-axis. Then, we need to compute \( n + t \). ### Step 1: Find \(...
[ { "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 }
Okay, I need to solve this problem where I have to count the number of possible nonempty strings t (other than 'a') that can partition the given string s into substrings. Each substring must be either t or 'a', and at least one substring is t. So the problem is to find all possible t's that meet these conditions. Let ...
[{"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)
"Okay, let's try to figure out this problem. So, we need to find the number of permutations of size (...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)
"Okay, let's try to understand the problem. So, we have a matrix with two rows and n columns. We can(...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)
"Okay, let's tackle this problem. So the goal is to construct a permutation of numbers 1 to n such t(...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)
"Okay, let's tackle this problem step by step. So, the goal is to find for each candidate i the mini(...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)
"Explanation: The question asks which groups of mice (G1 to G6) would have a significantly 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)
"Explanation: \n\nThe key to answering this question lies in understanding the effect of various com(...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)
"To solve this problem, we need to compute the sum of the scores of all non-empty subsequences of th(...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)
"To solve this problem, we need to determine the coordinates of point \\( P \\) where the circle \\((...TRUNCATED)
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mlfoundations-dev/Bespoke-Stratos-7B_eval_2e29

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo CodeForces AIME25 HLE LiveCodeBenchv5
Accuracy 14.3 54.2 77.6 34.2 40.2 31.8 27.4 3.2 4.8 12.7 10.0 16.7

AIME24

  • Average Accuracy: 14.33% ± 1.57%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 16.67% 5 30
2 10.00% 3 30
3 16.67% 5 30
4 23.33% 7 30
5 20.00% 6 30
6 16.67% 5 30
7 13.33% 4 30
8 10.00% 3 30
9 6.67% 2 30
10 10.00% 3 30

AMC23

  • Average Accuracy: 54.25% ± 1.77%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 62.50% 25 40
2 57.50% 23 40
3 62.50% 25 40
4 57.50% 23 40
5 55.00% 22 40
6 52.50% 21 40
7 52.50% 21 40
8 45.00% 18 40
9 50.00% 20 40
10 47.50% 19 40

MATH500

  • Accuracy: 77.60%
    Accuracy Questions Solved Total Questions
    77.60% 388 500

MMLUPro

  • Average Accuracy: 34.20% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 34.20% 171 500

JEEBench

  • Average Accuracy: 40.23% ± 1.10%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 42.86% 220.75 515
2 39.37% 202.75 515
3 38.45% 198.0 515

GPQADiamond

  • Average Accuracy: 31.82% ± 1.04%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 33.33% 66 198
2 29.29% 58 198
3 32.83% 65 198

LiveCodeBench

  • Average Accuracy: 27.40% ± 0.45%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 28.18% 144 511
2 26.61% 136 511
3 27.40% 140 511

CodeElo

  • Average Accuracy: 3.24% ± 0.31%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 2.81% 11 391
2 3.84% 15 391
3 3.07% 12 391

CodeForces

  • Average Accuracy: 4.78% ± 0.52%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 5.74% 26 453
2 4.64% 21 453
3 3.97% 18 453

AIME25

  • Average Accuracy: 12.67% ± 1.40%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 13.33% 4 30
2 16.67% 5 30
3 13.33% 4 30
4 16.67% 5 30
5 13.33% 4 30
6 6.67% 2 30
7 6.67% 2 30
8 20.00% 6 30
9 13.33% 4 30
10 6.67% 2 30

HLE

  • Average Accuracy: 9.96% ± 0.16%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 9.77% 50 512
2 9.77% 50 512
3 10.35% 53 512

LiveCodeBenchv5

  • Average Accuracy: 16.71% ± 0.86%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 15.18% 56 369
2 18.16% 67 369
3 16.80% 62 369
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