context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 8
values | metadata dict | model_outputs stringlengths 1.16k 374k |
|---|---|---|---|---|---|---|
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Identify the compound C9H11NO2 using the given data.\nIR: medium to strong intensity bands at 3420 cm-1, 3325 cm-1\nstrong band at 1720 cm-1\n1H NMR: 1.20 ppm (t, 3H); 4... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 46 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out which compound C9H11NO2 is from the given data. The options are A to D. Let's start by analyzing the IR and NMR data step by step.
First, the IR spectrum. The medium to strong bands around 3420 and 3325 cm-1. These are typically associated with hydroxyl (-OH) groups,... |
[
{
"content": "Problem: What is the product of all solutions to the equation\n\\[\\log_{7x}2023\\cdot \\log_{289x}2023=\\log_{2023x}2023\\]\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 3,
"temperature": 0.7
} | 3 | 8 | AMC23 | {
"expected_answer": "1",
"problem_id": "10",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to solve this logarithmic equation: the product of two logarithms equals another logarithm. The equation is:
\[
\log_{7x}2023 \cdot \log_{289x}2023 = \log_{2023x}2023
\]
Hmm, logarithms with different bases. I remember that logarithms can sometimes be converted using the ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until the matrix becomes empty:\n\nFrom each row ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 10 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to solve this problem where I have to compute a score based on selecting the largest numbers from each row in a matrix, then taking the maximum of those selected each time. Hmm.
So the problem says, in each step, we pick the largest number from each row. Then among all tho... |
[
{
"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: Addition of excess aqueous ammonia to a pink coloured aqueous solution... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 78 | JEEBench | {
"expected_answer": "BCD",
"problem_id": "23",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's try to tackle this chemistry problem step by step. Hmm, the question is about transition metal complexes and their properties. Let me start by parsing all the given information and then analyze each option carefully.
First, the problem mentions adding excess aqueous ammonia to a pink-... |
[
{
"content": "Problem: The asymptotes of a hyperbola are $y = 2x - 3$ and $y = 17 - 2x.$ Also, the hyperbola passes through the point $(4,7).$ Find the distance between the foci of the hyperbola.\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 409 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to solve this hyperbola problem. The asymptotes are given as y = 2x - 3 and y = 17 - 2x, and the hyperbola passes through the point (4,7). We need to find the distance between the foci. Hmm, hyperbola asymptotes... I remember that the asymptotes of a hyperbola are related to its eq... |
[
{
"content": "Problem: For how many integers $n$ does the expression\\[\\sqrt{\\frac{\\log (n^2) - (\\log n)^2}{\\log n - 3}}\\]represent a real number, where log denotes the base $10$ logarithm?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 37 | AMC23 | {
"expected_answer": "901",
"problem_id": "47",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out for how many integers n the expression √[(log(n²) - (log n)²)/(log n - 3)] is a real number. Hmm, so the square root requires that the argument inside is non-negative. So, first, I need to make sure that the numerator divided by the denominator is greater than or equa... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed string s, a string a, a string b, and an integer k.\nAn index i is beautiful if:\n\n0 <= i <= s.length - a.length\ns[i..(i + a.length... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 163 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to solve this problem where I have to find all beautiful indices in a string s. The conditions are a bit tricky. Let me try to break it down step by step.
First, understanding the problem. A beautiful index i is one where:
1. s starts with a at position i (so the substring... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given N integers A_1, A_2, \\dots, A_N.\r\nAlso, define B_i = A_i \\times A_{i+1}\\ (1 \\leq i \\leq N-1).\nPr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 410 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, I need to solve this problem where I have to read some integers from stdin and then compute the product of consecutive pairs. Let me think through the steps.
First, the input is N followed by N integers. Then, for each i from 1 to N-1, compute A_i * A_{i+1} and output all those products in ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Takahashi has placed N gifts on a number line. The i-th gift is placed at coordinate A_i.\nYou will choose a half-open... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 313 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. The problem is about choosing a half-open interval [x, x+M) on a number line where gifts are placed at certain coordinates. The goal is to find the maximum number of gifts that can be included in this interval. Hmm.
So the input gives us N gifts' coordinates, and M is the length ... |
[{"content":"Problem: Simplify $\\tan 100^\\circ + 4 \\sin 100^\\circ.$\nMark your solution with \\b(...TRUNCATED) | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 164 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | "<|begin_of_thought|>\n\nOkay, so I need to simplify the expression tan 100° + 4 sin 100°. Let me (...TRUNCATED) |
End of preview. Expand in Data Studio
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mlfoundations-dev/OpenThinker-7B_1744682184_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | MMLUPro | JEEBench | GPQADiamond | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 29.3 | 71.3 | 83.8 | 31.6 | 44.9 | 45.3 | 38.4 | 11.3 |
AIME24
- Average Accuracy: 29.33% ± 2.25%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 23.33% | 7 | 30 |
| 2 | 36.67% | 11 | 30 |
| 3 | 20.00% | 6 | 30 |
| 4 | 36.67% | 11 | 30 |
| 5 | 40.00% | 12 | 30 |
| 6 | 26.67% | 8 | 30 |
| 7 | 36.67% | 11 | 30 |
| 8 | 26.67% | 8 | 30 |
| 9 | 20.00% | 6 | 30 |
| 10 | 26.67% | 8 | 30 |
AMC23
- Average Accuracy: 71.25% ± 1.08%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 67.50% | 27 | 40 |
| 2 | 75.00% | 30 | 40 |
| 3 | 72.50% | 29 | 40 |
| 4 | 67.50% | 27 | 40 |
| 5 | 75.00% | 30 | 40 |
| 6 | 70.00% | 28 | 40 |
| 7 | 70.00% | 28 | 40 |
| 8 | 67.50% | 27 | 40 |
| 9 | 77.50% | 31 | 40 |
| 10 | 70.00% | 28 | 40 |
MATH500
- Accuracy: 83.80%
Accuracy Questions Solved Total Questions 83.80% 419 500
MMLUPro
- Average Accuracy: 31.60% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 31.60% | 158 | 500 |
JEEBench
- Average Accuracy: 44.90% ± 1.14%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 43.20% | 222.5 | 515 |
| 2 | 47.67% | 245.5 | 515 |
| 3 | 43.83% | 225.75 | 515 |
GPQADiamond
- Average Accuracy: 45.29% ± 1.31%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 42.42% | 84 | 198 |
| 2 | 45.45% | 90 | 198 |
| 3 | 47.98% | 95 | 198 |
LiveCodeBench
- Average Accuracy: 38.42% ± 0.17%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 38.75% | 198 | 511 |
| 2 | 38.16% | 195 | 511 |
| 3 | 38.36% | 196 | 511 |
CodeElo
- Average Accuracy: 11.34% ± 0.56%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 12.02% | 47 | 391 |
| 2 | 10.23% | 40 | 391 |
| 3 | 11.76% | 46 | 391 |
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