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 316 162k |
|---|---|---|---|---|---|---|
[
{
"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
} | Let's analyze the problem step by step. The compound in question is C9H11NO2. Let's break down the information given:
1. **IR Spectroscopy**:
- Medium to strong bands at 3420 cm⁻¹ and 3325 cm⁻¹, which are characteristic of hydroxyl groups (O-H bonds). This suggests the presence of a phenol or a carboxylic acid. Ho... |
[
{
"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
} | <think>
Okay, so I have this equation: log base 7x of 2023 multiplied by log base 289x of 2023 equals log base 2023x of 2023. Hmm, I need to find the product of all solutions for x. Let me think about how to approach this.
First, I remember that there's a property of logarithms that says log_a(b) * log_c(b) can be rew... |
[
{
"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
} | <think>
Okay, I need to solve this problem where I have a 2D array, and I have to compute a score by doing some operations. Let's read the problem again carefully.
The problem says that the matrix is 0-indexed. The score starts at 0. We perform operations until the matrix is empty. Each operation involves two steps: f... |
[
{
"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)"
} | <think>
Okay, let's try to work through this problem step by step. So, the problem is about some metal complexes and their reactions. Let me start by breaking down the information given.
First, we have a pink-colored aqueous solution of MCl₂·6H₂O (X) and NH₄Cl. When we add excess aqueous ammonia (NH₃) in the presence ... |
[
{
"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
} | To solve the problem of finding the distance between the foci of the hyperbola given its asymptotes and a point it passes through, we start by recalling that the asymptotes of a hyperbola provide information about its orientation and equation. The given asymptotes are \( y = 2x - 3 \) and \( y = 17 - 2x \).
First, we... |
[
{
"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
} | To determine for how many integers \( n \) the expression
\[
\sqrt{\frac{\log (n^2) - (\log n)^2}{\log n - 3}}
\]
represents a real number, we need to analyze the conditions under which the expression inside the square root is non-negative and the denominator is non-zero.
First, let's simplify the numerator \(\log... |
[
{
"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
} | <think>
Okay, I need to solve this problem where I have to find all beautiful indices in a string. Let me read the problem carefully again.
So, an index i is beautiful if:
1. The substring starting at i with length equal to a's length is equal to a.
2. There exists some index j where the substring starting at j of len... |
[
{
"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
} | <think>
Okay, I need to write a Python function that takes input from stdin and outputs the product of consecutive pairs in a list of integers. Let's see.
The problem says that given N integers, we have to compute B_i = A_i * A_{i+1} for each i from 1 to N-1. Then print all B's separated by spaces.
First, I need to r... |
[{"content":"Generate an executable Python function generated from the given prompt. The function sh(...TRUNCATED) | {
"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
} | "<think>\nOkay, let's see. I need to solve this problem where I have to find the maximum number of g(...TRUNCATED) |
[{"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
} | "<think>\nOkay, so I need to simplify this expression: tan 100° + 4 sin 100°. Hmm, let's see. I re(...TRUNCATED) |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_code_share_gpt_code_1744693069_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 13.3 | 55.2 | 70.6 | 41.4 | 36.4 | 27.8 | 34.8 | 7.8 |
AIME24
- Average Accuracy: 13.33% ± 1.15%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 13.33% | 4 | 30 |
| 2 | 13.33% | 4 | 30 |
| 3 | 10.00% | 3 | 30 |
| 4 | 16.67% | 5 | 30 |
| 5 | 16.67% | 5 | 30 |
| 6 | 20.00% | 6 | 30 |
| 7 | 6.67% | 2 | 30 |
| 8 | 13.33% | 4 | 30 |
| 9 | 13.33% | 4 | 30 |
| 10 | 10.00% | 3 | 30 |
AMC23
- Average Accuracy: 55.25% ± 2.08%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 65.00% | 26 | 40 |
| 2 | 47.50% | 19 | 40 |
| 3 | 52.50% | 21 | 40 |
| 4 | 42.50% | 17 | 40 |
| 5 | 60.00% | 24 | 40 |
| 6 | 60.00% | 24 | 40 |
| 7 | 57.50% | 23 | 40 |
| 8 | 50.00% | 20 | 40 |
| 9 | 57.50% | 23 | 40 |
| 10 | 60.00% | 24 | 40 |
MATH500
- Accuracy: 70.60%
Accuracy Questions Solved Total Questions 70.60% 353 500
GPQADiamond
- Average Accuracy: 41.41% ± 1.43%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 44.44% | 88 | 198 |
| 2 | 41.41% | 82 | 198 |
| 3 | 38.38% | 76 | 198 |
JEEBench
- Average Accuracy: 36.41% ± 0.40%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 36.99% | 190.5 | 515 |
| 2 | 35.44% | 182.5 | 515 |
| 3 | 36.80% | 189.5 | 515 |
MMLUPro
- Average Accuracy: 27.80% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 27.80% | 139 | 500 |
LiveCodeBench
- Average Accuracy: 34.77% ± 0.96%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 36.40% | 186 | 511 |
| 2 | 34.83% | 178 | 511 |
| 3 | 33.07% | 169 | 511 |
CodeElo
- Average Accuracy: 7.76% ± 0.89%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 7.93% | 31 | 391 |
| 2 | 6.14% | 24 | 391 |
| 3 | 9.21% | 36 | 391 |
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