context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 9
values | metadata dict | model_outputs stringlengths 1.08k 180k |
|---|---|---|---|---|---|---|
[
{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: There are three bags $B_{1}, B_{2}$ and $B_{3}$. The bag $B_{1}$ conta... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 206 | JEEBench | {
"expected_answer": "AB",
"problem_id": "43",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, so I have this probability problem here with three bags, B1, B2, and B3. Each bag has different numbers of red and green balls, and each bag is chosen with a certain probability. The question is asking which of the four options (A, B, C, D) are correct. Let me try to work through each option step by step.... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: What do the amounts of rainfall in the Maya homeland, as reflected in variations in oxygen isotopes in a stalagmite in Yok Balum Cave in Belize, corr... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 297 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which option correctly explains the connection between rainfall variations in the Maya homeland, as recorded by oxygen isotopes in a stalagmite, and the corresponding human responses. Let me start by recalling what I know about stalagmite oxygen isotopes and their relevance to clim... |
[
{
"content": "Problem: What is the remainder when $1 + 2 + 3 + 4 + \\dots + 9 + 10$ is divided by 9?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 268 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the remainder when the sum of numbers from 1 to 10 is divided by 9. Hmm, let's start by figuring out what that sum actually is. I remember there's a formula for the sum of the first n natural numbers. Let me recall... Oh right, it's n(n + 1)/2. So in this case, n is 10 because we're addi... |
[
{
"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": 0,
"temperature": 0.7
} | 0 | 357 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find a binary string of length n such that the oneness (which is the absolute difference between f(t) and g(t)) is minimized. Let's understand the problem step by step.
First, let's clarify what f(t) and g(t) are.
f(t) is the number of non-empty subsequences... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Let $S$ be the sample space of all $3 \\times 3$ matrices with... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 213 | JEEBench | {
"expected_answer": "0.5",
"problem_id": "51",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Alright, so I need to find the conditional probability P(E₁ | E₂), which is the probability that a randomly chosen 3x3 matrix with entries 0 or 1 has determinant 0 given that the sum of its entries is 7. Let me break this down step by step.
First, the sample space S consists of all 3x3 matrices with entries 0 ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Consider the Y-component of the intrinsic angular momentum operator, A of a muon be represented by a 2×2 matrix Ay satisfying the eigenvalue equation Ay(φ) = a(φ). Here,... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 34 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out this problem step by step. So, the question is about finding the eigenvalues and eigenvectors of the operator Ay, which is given as c·S, where c is h/(4π) and S is a 2x2 matrix. The matrix S has the first row as (0, -i) and the second row as (i, 0). Then we need to determine which ... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Young's modulus of elasticity $Y$ is expressed in terms of three derived ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 500 | JEEBench | {
"expected_answer": "A",
"problem_id": "19",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, so I need to figure out the exponents α, β, and γ for the gravitational constant G, Planck's constant h, and the speed of light c in the expression for Young's modulus Y. The options are given, and I have to pick the correct one. Let me start by recalling what Young's modulus represents. It's a measure of... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 354 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the expected number of days until all vertices in the graph have the message. The message spreads each day based on the edges appearing. So the problem is about modeling the spread of the message over time, considering the probabilities of edges appearing each day.
Hmm. The key ... |
[{"content":"Generate an executable Python function generated from the given prompt. Return the func(...TRUNCATED) | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 91 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | "<think>\nOkay, let's see. I need to find the maximum distance from the origin after n moves, where (...TRUNCATED) |
[{"content":"Generate an executable Python function generated from the given prompt. Return the func(...TRUNCATED) | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 92 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | "<think>\nOkay, let's try to figure out how to solve this problem. So the task is to find the number(...TRUNCATED) |
End of preview. Expand in Data Studio
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Check out the documentation for more information.
mlfoundations-dev/OpenThoughts2-1M-scrubbed_eval_8067
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | AIME25 | MATH500 | GPQADiamond | MMLUPro | LiveCodeBench | CodeElo | JEEBench |
|---|---|---|---|---|---|---|---|---|---|
| Accuracy | 56.3 | 88.2 | 39.3 | 88.6 | 49.2 | 31.2 | 55.2 | 24.3 | 63.6 |
AIME24
- Average Accuracy: 56.33% ± 1.52%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 46.67% | 14 | 30 |
| 2 | 60.00% | 18 | 30 |
| 3 | 56.67% | 17 | 30 |
| 4 | 56.67% | 17 | 30 |
| 5 | 60.00% | 18 | 30 |
| 6 | 53.33% | 16 | 30 |
| 7 | 60.00% | 18 | 30 |
| 8 | 63.33% | 19 | 30 |
| 9 | 50.00% | 15 | 30 |
| 10 | 56.67% | 17 | 30 |
AMC23
- Average Accuracy: 88.25% ± 0.94%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 90.00% | 36 | 40 |
| 2 | 90.00% | 36 | 40 |
| 3 | 92.50% | 37 | 40 |
| 4 | 85.00% | 34 | 40 |
| 5 | 90.00% | 36 | 40 |
| 6 | 85.00% | 34 | 40 |
| 7 | 92.50% | 37 | 40 |
| 8 | 85.00% | 34 | 40 |
| 9 | 85.00% | 34 | 40 |
| 10 | 87.50% | 35 | 40 |
AIME25
- Average Accuracy: 39.33% ± 1.99%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 46.67% | 14 | 30 |
| 2 | 33.33% | 10 | 30 |
| 3 | 33.33% | 10 | 30 |
| 4 | 36.67% | 11 | 30 |
| 5 | 30.00% | 9 | 30 |
| 6 | 50.00% | 15 | 30 |
| 7 | 40.00% | 12 | 30 |
| 8 | 40.00% | 12 | 30 |
| 9 | 46.67% | 14 | 30 |
| 10 | 36.67% | 11 | 30 |
MATH500
- Accuracy: 88.60%
Accuracy Questions Solved Total Questions 88.60% 443 500
GPQADiamond
- Average Accuracy: 49.16% ± 0.60%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 48.99% | 97 | 198 |
| 2 | 47.98% | 95 | 198 |
| 3 | 50.51% | 100 | 198 |
MMLUPro
- Average Accuracy: 31.20% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 31.20% | 156 | 500 |
LiveCodeBench
- Average Accuracy: 55.19% ± 1.17%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 54.01% | 276 | 511 |
| 2 | 57.53% | 294 | 511 |
| 3 | 54.01% | 276 | 511 |
CodeElo
- Average Accuracy: 24.30% ± 0.15%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 24.55% | 96 | 391 |
| 2 | 24.04% | 94 | 391 |
| 3 | 24.30% | 95 | 391 |
JEEBench
- Average Accuracy: 63.56% ± 0.21%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 64.03% | 329.75 | 515 |
| 2 | 63.16% | 325.25 | 515 |
| 3 | 63.50% | 327.0 | 515 |
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