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 8 193k |
|---|---|---|---|---|---|---|
[
{
"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
} | \boxed{D} |
[
{
"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 using the change of base formula for logarithms. Let's express each logarithm with a common base, such as base 10 or base \(e\). However, for simplicity, we can use the natural logarithm (base \(e\)).
First, let's rewrite eac... |
[
{
"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. The goal is to calculate a score by following some steps. Let me think through the problem again to make sure I understand all the details.
So the initial score is zero. I have to perform operations until the matrix is empty. Each operatio... |
[
{
"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)"
} | To solve this problem, we need to analyze the given chemical reactions and the properties of the complexes involved. Let's break down the problem step by step.
### Step 1: Understanding the Reactions and Complexes
1. **Reaction with Excess Aqueous Ammonia:**
- The pink solution of \( \mathrm{MCl}_2 \cdot 6\mathrm{H... |
[
{
"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, we start by determining the center of the hyperbola. The asymptotes are given by \( y = 2x - 3 \) and \( y = 17 - 2x \). The center of the hyperbola is the intersection point of these two asymptotes. To find the center, we solve the system of equations:
\[
\begin{cases}
y = 2x - 3 \\
y = 17 - 2x
... |
[
{
"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 argument of the square root is non-negative. This requires the fraction
\[
\frac{\log (n^2) - (\log n)^2}{\log n - 3}
\]
to be 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
} | <think>
Okay, I need to solve this problem where I have to find beautiful indices in a string based on certain conditions. Let me read through the problem again to make sure I understand everything.
So, the input is a string s, and two strings a and b, along with an integer k. An index i is considered beautiful if it ... |
[
{
"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 create a Python function that reads input from stdin and prints the product of consecutive pairs in a list of integers. Let's break down the problem.
First, the input starts with an integer N, which is the number of elements. Then there's a list of N integers A. The task is to compute B_i as A_... |
[
{
"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
} | <think>
Okay, I need to solve this problem where Takahashi has placed N gifts on a number line. The task is to choose a half-open interval [x, x+M) to maximize the number of gifts collected. Hmm, how do I approach this?
Let me read the problem again. So, each gift is at position A_i. When we choose x, we collect all g... |
[{"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, I need to simplify the expression tan(100°) + 4sin(100°). Let's start by recalling(...TRUNCATED) |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_code_octopack_sft_1744693300_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 15.3 | 51.7 | 72.4 | 40.9 | 38.0 | 25.4 | 26.7 | 5.4 |
AIME24
- Average Accuracy: 15.33% ± 1.07%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 16.67% | 5 | 30 |
| 2 | 20.00% | 6 | 30 |
| 3 | 16.67% | 5 | 30 |
| 4 | 16.67% | 5 | 30 |
| 5 | 10.00% | 3 | 30 |
| 6 | 10.00% | 3 | 30 |
| 7 | 20.00% | 6 | 30 |
| 8 | 13.33% | 4 | 30 |
| 9 | 16.67% | 5 | 30 |
| 10 | 13.33% | 4 | 30 |
AMC23
- Average Accuracy: 51.75% ± 1.23%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 50.00% | 20 | 40 |
| 2 | 47.50% | 19 | 40 |
| 3 | 52.50% | 21 | 40 |
| 4 | 52.50% | 21 | 40 |
| 5 | 50.00% | 20 | 40 |
| 6 | 47.50% | 19 | 40 |
| 7 | 55.00% | 22 | 40 |
| 8 | 60.00% | 24 | 40 |
| 9 | 47.50% | 19 | 40 |
| 10 | 55.00% | 22 | 40 |
MATH500
- Accuracy: 72.40%
Accuracy Questions Solved Total Questions 72.40% 362 500
GPQADiamond
- Average Accuracy: 40.91% ± 3.04%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 39.39% | 78 | 198 |
| 2 | 35.35% | 70 | 198 |
| 3 | 47.98% | 95 | 198 |
JEEBench
- Average Accuracy: 38.01% ± 0.46%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 37.82% | 194.75 | 515 |
| 2 | 37.14% | 191.25 | 515 |
| 3 | 39.08% | 201.25 | 515 |
MMLUPro
- Average Accuracy: 25.40% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 25.40% | 127 | 500 |
LiveCodeBench
- Average Accuracy: 26.68% ± 0.56%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 26.22% | 134 | 511 |
| 2 | 27.79% | 142 | 511 |
| 3 | 26.03% | 133 | 511 |
CodeElo
- Average Accuracy: 5.37% ± 0.30%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 5.88% | 23 | 391 |
| 2 | 4.86% | 19 | 391 |
| 3 | 5.37% | 21 | 391 |
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