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 246k |
|---|---|---|---|---|---|---|
[
{
"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 determine the correct compound, let's analyze the given data step by step.
First, let's look at the IR spectrum. The presence of a strong band at 1720 cm⁻¹ suggests a carbonyl group, which is consistent with amides, carboxylic acids, or esters. The medium to strong bands at 3420 and 3325 cm⁻¹ are typically associat... |
[
{
"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 properties of logarithms. Let's denote \(y = \log_{7x}2023\). Then, we can express the other logarithms in terms of \(y\).
First, recall the change of base formula: \(\log_{a}b = \frac{\log_c b}{\log_c a}\). Using this,... |
[
{
"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 write a Python function that calculates the final score based on the given matrix operations. Let me think through the problem step by step.
The problem says that we start with a 2D array. Each time, we remove the largest number from each row, then find the maximum of those removed numbers 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)"
} | To solve this problem, we need to analyze the given reactions and properties of the complexes to determine the correct statements.
First, let's understand the reactions involving compound X (MCl₂·6H₂O). When excess aqueous ammonia is added to X and NH₄Cl in the presence of air, an octahedral complex Y is formed. The f... |
[
{
"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 equation of the hyperbola given its asymptotes and a point it passes through, then find the distance between its foci. Let's proceed step by step.
### Step 1: Find the Center of the Hyperbola
The asymptotes of a hyperbola are given by the equations \( y = 2x - 3 \) and \... |
[
{
"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 and that the denominator is not zero. Let's break this down step by step.
First, simplify the numerator \... |
[
{
"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 the beautiful indices in the string s based on the given conditions. Let's see what the problem says again.
So, an index i is beautiful if:
1. The substring starting at i with length equal to a's length is exactly a.
2. There exists some index j that sati... |
[
{
"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. Let's think about the steps.
First, the input format is N followed by N integers. So the function should read N from the first line, then read the next line which has all the A_i values. T... |
[{"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
} | "To simplify \\(\\tan 100^\\circ + 4 \\sin 100^\\circ\\), we will start by using trigonometric ident(...TRUNCATED) |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_code_McEval-Instruct_1744693303_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 18.0 | 58.0 | 74.8 | 43.4 | 41.6 | 30.4 | 32.5 | 8.3 |
AIME24
- Average Accuracy: 18.00% ± 1.43%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 10.00% | 3 | 30 |
| 2 | 13.33% | 4 | 30 |
| 3 | 16.67% | 5 | 30 |
| 4 | 20.00% | 6 | 30 |
| 5 | 23.33% | 7 | 30 |
| 6 | 16.67% | 5 | 30 |
| 7 | 16.67% | 5 | 30 |
| 8 | 20.00% | 6 | 30 |
| 9 | 26.67% | 8 | 30 |
| 10 | 16.67% | 5 | 30 |
AMC23
- Average Accuracy: 58.00% ± 1.21%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 57.50% | 23 | 40 |
| 2 | 65.00% | 26 | 40 |
| 3 | 60.00% | 24 | 40 |
| 4 | 57.50% | 23 | 40 |
| 5 | 52.50% | 21 | 40 |
| 6 | 52.50% | 21 | 40 |
| 7 | 62.50% | 25 | 40 |
| 8 | 55.00% | 22 | 40 |
| 9 | 57.50% | 23 | 40 |
| 10 | 60.00% | 24 | 40 |
MATH500
- Accuracy: 74.80%
Accuracy Questions Solved Total Questions 74.80% 374 500
GPQADiamond
- Average Accuracy: 43.43% ± 1.09%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 45.96% | 91 | 198 |
| 2 | 42.93% | 85 | 198 |
| 3 | 41.41% | 82 | 198 |
JEEBench
- Average Accuracy: 41.55% ± 0.41%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 41.46% | 213.5 | 515 |
| 2 | 40.73% | 209.75 | 515 |
| 3 | 42.48% | 218.75 | 515 |
MMLUPro
- Average Accuracy: 30.40% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 30.40% | 152 | 500 |
LiveCodeBench
- Average Accuracy: 32.49% ± 0.90%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 34.25% | 175 | 511 |
| 2 | 31.90% | 163 | 511 |
| 3 | 31.31% | 160 | 511 |
CodeElo
- Average Accuracy: 8.27% ± 0.61%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 7.42% | 29 | 391 |
| 2 | 7.93% | 31 | 391 |
| 3 | 9.46% | 37 | 391 |
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