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 186k |
|---|---|---|---|---|---|---|
[
{
"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
} | To solve this problem, we need to identify the compound C9H11NO2 based on the given spectroscopic data. Let's break down the information provided and analyze each option step by step.
### Step 1: Analyze the IR Spectrum
The IR data includes:
- Medium to strong bands at 3420 cm-1 and 3325 cm-1. These could be related t... |
[
{
"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
} | To solve the equation \(\log_{7x}2023 \cdot \log_{289x}2023 = \log_{2023x}2023\), we start by introducing a substitution to simplify the logarithmic expressions. Let \(y = \log_{2023x} 2023\). Then, we can express the other logarithms in terms of \(y\).
First, recall the change of base formula for logarithms. The 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 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 of integers, and I have to calculate a score by following certain steps. Let me read the problem carefully.
The initial score is 0. I have to perform operations until the matrix is empty. In each operation, I select the largest number from each row and... |
[
{
"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 tackle this problem step by step. First, I need to figure out what the different complexes (X, Y, Z) are and their properties based on the given information. Then, I'll analyze each option to determine which statements are correct.
Starting with X: It's a pink aqueous solution of MCl2·6H2O and NH4C... |
[
{
"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 this problem, we need to determine the distance between the foci of a hyperbola given its asymptotes and a point through which it passes. Let's proceed step by step.
### Step 1: Determine the Center of the Hyperbola
The asymptotes of a hyperbola provide key information about its center. The equations of the a... |
[
{
"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 ensure that the expression inside the square root is non-negative and that the denominator is not zero. Let's break this down step by step.
### Step 1: Simplify 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 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 the beautiful indices in the string s. A beautiful index i is one where certain conditions are met. Let me try to understand the problem step by step.
First, the problem says that an index i is beautiful if:
1. The substring of s starting at i with le... |
[
{
"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 prints 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 i from 1 to N-1. So the output is a list of these products, each separated by a sp... |
[{"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 find the maximum number of gifts that can be acquired by choosi(...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
} | "To simplify the expression \\(\\tan 100^\\circ + 4 \\sin 100^\\circ\\), we can use trigonometric id(...TRUNCATED) |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_code_magicoder_1744693377_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 16.3 | 56.2 | 72.0 | 34.0 | 39.1 | 29.8 | 34.5 | 9.2 |
AIME24
- Average Accuracy: 16.33% ± 1.45%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 20.00% | 6 | 30 |
| 2 | 13.33% | 4 | 30 |
| 3 | 16.67% | 5 | 30 |
| 4 | 20.00% | 6 | 30 |
| 5 | 23.33% | 7 | 30 |
| 6 | 13.33% | 4 | 30 |
| 7 | 20.00% | 6 | 30 |
| 8 | 16.67% | 5 | 30 |
| 9 | 6.67% | 2 | 30 |
| 10 | 13.33% | 4 | 30 |
AMC23
- Average Accuracy: 56.25% ± 1.67%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 52.50% | 21 | 40 |
| 2 | 55.00% | 22 | 40 |
| 3 | 50.00% | 20 | 40 |
| 4 | 62.50% | 25 | 40 |
| 5 | 60.00% | 24 | 40 |
| 6 | 55.00% | 22 | 40 |
| 7 | 55.00% | 22 | 40 |
| 8 | 65.00% | 26 | 40 |
| 9 | 47.50% | 19 | 40 |
| 10 | 60.00% | 24 | 40 |
MATH500
- Accuracy: 72.00%
Accuracy Questions Solved Total Questions 72.00% 360 500
GPQADiamond
- Average Accuracy: 34.01% ± 1.22%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 33.33% | 66 | 198 |
| 2 | 36.87% | 73 | 198 |
| 3 | 31.82% | 63 | 198 |
JEEBench
- Average Accuracy: 39.09% ± 0.12%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 39.13% | 201.5 | 515 |
| 2 | 38.83% | 200.0 | 515 |
| 3 | 39.32% | 202.5 | 515 |
MMLUPro
- Average Accuracy: 29.80% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 29.80% | 149 | 500 |
LiveCodeBench
- Average Accuracy: 34.51% ± 0.35%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 35.03% | 179 | 511 |
| 2 | 34.64% | 177 | 511 |
| 3 | 33.86% | 173 | 511 |
CodeElo
- Average Accuracy: 9.21% ± 0.53%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 8.18% | 32 | 391 |
| 2 | 9.46% | 37 | 391 |
| 3 | 9.97% | 39 | 391 |
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