context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 12
values | metadata dict | model_outputs stringlengths 1.54k 439k |
|---|---|---|---|---|---|---|
[
{
"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 values \( n \) where \( f(x) = \sin(7\pi \cdot \sin(5x)) \) is zero in the interval \( 0 < x < 2\pi \), and then determining how many of those \( n \) points \( t \) are points where the graph is tangent to the x-axis. Fin... |
[
{
"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 (t is not "a") such that the string s can be partitioned into some substrings where each is either t or "a", and at least one of them is t.
Hmm, right. Let's think about the problem step by step. The key is t... |
[{"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 permutations of size n that can be split int(...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 cost path from (1,1) to (2,n) in a 2xN matrix.(...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 1 to(...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 which m(...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 Al1, Al2, and Rga1 based on the given data.(...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 calculate the sum of the scores of all (...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) |
End of preview. Expand in Data Studio
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mlfoundations-dev/fig1_scaling_openthoughts_10k_eval_2e29
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | MMLUPro | JEEBench | GPQADiamond | LiveCodeBench | CodeElo | CodeForces | LiveCodeBenchv5 | AIME25 | HLE |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Accuracy | 23.3 | 65.5 | 80.4 | 28.2 | 43.0 | 37.9 | 27.1 | 7.2 | 11.8 | 20.1 | 18.7 | 0.6 |
AIME24
- Average Accuracy: 23.33% ± 1.56%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 23.33% | 7 | 30 |
| 2 | 23.33% | 7 | 30 |
| 3 | 13.33% | 4 | 30 |
| 4 | 23.33% | 7 | 30 |
| 5 | 26.67% | 8 | 30 |
| 6 | 20.00% | 6 | 30 |
| 7 | 20.00% | 6 | 30 |
| 8 | 33.33% | 10 | 30 |
| 9 | 26.67% | 8 | 30 |
| 10 | 23.33% | 7 | 30 |
AMC23
- Average Accuracy: 65.50% ± 1.86%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 57.50% | 23 | 40 |
| 2 | 75.00% | 30 | 40 |
| 3 | 60.00% | 24 | 40 |
| 4 | 75.00% | 30 | 40 |
| 5 | 62.50% | 25 | 40 |
| 6 | 70.00% | 28 | 40 |
| 7 | 62.50% | 25 | 40 |
| 8 | 60.00% | 24 | 40 |
| 9 | 65.00% | 26 | 40 |
| 10 | 67.50% | 27 | 40 |
MATH500
- Accuracy: 80.40%
Accuracy Questions Solved Total Questions 80.40% 402 500
MMLUPro
- Average Accuracy: 28.20% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 28.20% | 141 | 500 |
JEEBench
- Average Accuracy: 42.99% ± 0.52%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 41.75% | 215.0 | 515 |
| 2 | 43.35% | 223.25 | 515 |
| 3 | 43.88% | 226.0 | 515 |
GPQADiamond
- Average Accuracy: 37.88% ± 1.04%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 40.40% | 80 | 198 |
| 2 | 36.36% | 72 | 198 |
| 3 | 36.87% | 73 | 198 |
LiveCodeBench
- Average Accuracy: 27.07% ± 1.50%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 28.77% | 147 | 511 |
| 2 | 24.07% | 123 | 511 |
| 3 | 28.38% | 145 | 511 |
CodeElo
- Average Accuracy: 7.25% ± 0.73%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 6.65% | 26 | 391 |
| 2 | 8.70% | 34 | 391 |
| 3 | 6.39% | 25 | 391 |
CodeForces
- Average Accuracy: 11.77% ± 0.48%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 12.14% | 55 | 453 |
| 2 | 10.82% | 49 | 453 |
| 3 | 12.36% | 56 | 453 |
LiveCodeBenchv5
- Average Accuracy: 20.05% ± 1.13%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 21.68% | 80 | 369 |
| 2 | 17.89% | 66 | 369 |
| 3 | 20.60% | 76 | 369 |
AIME25
- Average Accuracy: 18.67% ± 1.07%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 13.33% | 4 | 30 |
| 2 | 20.00% | 6 | 30 |
| 3 | 20.00% | 6 | 30 |
| 4 | 23.33% | 7 | 30 |
| 5 | 20.00% | 6 | 30 |
| 6 | 20.00% | 6 | 30 |
| 7 | 16.67% | 5 | 30 |
| 8 | 13.33% | 4 | 30 |
| 9 | 16.67% | 5 | 30 |
| 10 | 23.33% | 7 | 30 |
HLE
- Average Accuracy: 0.59% ± 0.18%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 0.59% | 3 | 512 |
| 2 | 0.20% | 1 | 512 |
| 3 | 0.98% | 5 | 512 |
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