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 9 436k |
|---|---|---|---|---|---|---|
[
{
"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
} | **Step-by-Step Explanation:**
1. **IR Analysis:**
- **3420 cm⁻¹ and 3325 cm⁻¹:** These are characteristic bands for O-H stretching in carboxylic acids or amides. The presence of two close bands suggests a hydroxyl group, but since the structure has NO₂, it's more likely an amide (NHCOO) group. So, the compound cont... |
[
{
"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 need to solve the equation \(\log_{7x}2023 \cdot \log_{289x}2023 = \log_{2023x}2023\) and find the product of all solutions. Hmm, logarithms with different bases... I remember that logarithms with different bases can be converted using the change of base formula. Let me recall: \(\log_b a = \frac{\ln... |
[
{
"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 the maximum score by removing the largest numbers from each row and then adding the highest of those removed numbers to the score. Let me think through how to approach this.
First, the problem says that in each step... |
[
{
"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 tackle this problem step by step. Hmm, first, I need to understand the given information and the question. The problem involves the addition of excess aqueous ammonia to a pink-colored solution of MCl₂·6H₂O (X) and NH₄Cl, which results in an octahedral complex Y. Then, when X reacts with exce... |
[
{
"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
} | <think>
Okay, so I need to find the distance between the foci of a hyperbola. The asymptotes are given as y = 2x - 3 and y = 17 - 2x, and the hyperbola passes through the point (4,7). Hmm, let's start by recalling some properties of hyperbolas.
First, I remember that the asymptotes of a hyperbola provide information ... |
[
{
"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
} | <think>
Okay, so I need to figure out for how many integers n the expression sqrt[(log(n²) - (log n)²)/(log n - 3)] is a real number. Hmm, let's break this down step by step.
First, the expression inside the square root has to be non-negative because the square root of a negative number isn't real. So, I need to ensu... |
[{"content":"Generate an executable Python function generated from the given prompt. Return the func(...TRUNCATED) | {
"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>\nOkay, let's see. I need to generate a Python function that finds all beautiful indices in (...TRUNCATED) |
[{"content":"Generate an executable Python function generated from the given prompt. The function sh(...TRUNCATED) | {
"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>\nOkay, I need to create a Python function that takes input from stdin and prints the output(...TRUNCATED) |
[{"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 Takahashi has placed N gifts on a numb(...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 tan(100°) + 4 sin(100°). Hmm, let me think. Both tangent and(...TRUNCATED) |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_code_magpie_1744693315_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 16.0 | 52.8 | 73.0 | 33.0 | 31.0 | 28.0 | 28.6 | 3.0 |
AIME24
- Average Accuracy: 16.00% ± 2.10%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 16.67% | 5 | 30 |
| 2 | 20.00% | 6 | 30 |
| 3 | 10.00% | 3 | 30 |
| 4 | 13.33% | 4 | 30 |
| 5 | 30.00% | 9 | 30 |
| 6 | 6.67% | 2 | 30 |
| 7 | 10.00% | 3 | 30 |
| 8 | 16.67% | 5 | 30 |
| 9 | 13.33% | 4 | 30 |
| 10 | 23.33% | 7 | 30 |
AMC23
- Average Accuracy: 52.75% ± 1.34%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 52.50% | 21 | 40 |
| 2 | 60.00% | 24 | 40 |
| 3 | 52.50% | 21 | 40 |
| 4 | 42.50% | 17 | 40 |
| 5 | 50.00% | 20 | 40 |
| 6 | 52.50% | 21 | 40 |
| 7 | 55.00% | 22 | 40 |
| 8 | 55.00% | 22 | 40 |
| 9 | 52.50% | 21 | 40 |
| 10 | 55.00% | 22 | 40 |
MATH500
- Accuracy: 73.00%
Accuracy Questions Solved Total Questions 73.00% 365 500
GPQADiamond
- Average Accuracy: 33.00% ± 0.77%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 32.32% | 64 | 198 |
| 2 | 31.82% | 63 | 198 |
| 3 | 34.85% | 69 | 198 |
JEEBench
- Average Accuracy: 31.00% ± 0.18%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 31.36% | 161.5 | 515 |
| 2 | 31.07% | 160.0 | 515 |
| 3 | 30.58% | 157.5 | 515 |
MMLUPro
- Average Accuracy: 28.00% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 28.00% | 140 | 500 |
LiveCodeBench
- Average Accuracy: 28.64% ± 0.17%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 28.96% | 148 | 511 |
| 2 | 28.38% | 145 | 511 |
| 3 | 28.57% | 146 | 511 |
CodeElo
- Average Accuracy: 2.98% ± 0.37%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 3.58% | 14 | 391 |
| 2 | 2.30% | 9 | 391 |
| 3 | 3.07% | 12 | 391 |
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