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 166k |
|---|---|---|---|---|---|---|
[
{
"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
} | <think>
Okay, so I need to figure out which compound, C9H11NO2, matches the given IR and NMR data. Let me start by recalling what each spectroscopic data means.
First, the IR spectrum. The IR has medium to strong bands at 3420 and 3325 cm⁻¹, and a strong band at 1720 cm⁻¹. The 1720 cm⁻¹ is probably the carbonyl stretc... |
[
{
"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 this equation: log_{7x}(2023) * log_{289x}(2023) = log_{2023x}(2023). And then find the product of all solutions. Hmm, logarithms with variable bases... That might be tricky. Let me start by recalling some logarithm properties.
First, maybe I can use the change of base formula to rewri... |
[
{
"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
} | To solve this problem, we need to repeatedly select the largest number from each row of the matrix and then add the highest of those selected numbers to our score until the matrix is empty. Here's a step-by-step approach:
1. **Sort Each Row**: First, sort each row in ascending order. This allows us to easily pick the ... |
[
{
"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. First, I need to parse the question and understand the different parts. The problem is about the behavior of a manganese(II) complex when subjected to various reagents and conditions. Let me break it down.
We start with compound X, which is an aqueous soluti... |
[
{
"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 given its asymptotes and a point it passes through. Let me start by recalling what I know about hyperbolas and their asymptotes.
First, the equations of the asymptotes are given as \( y = 2x - 3 \) and \( y = 17 - 2x \). I remember that the ... |
[
{
"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 start by simplifying the expression inside the square root.
First, log(n²) can be simplified using logarithm rules. I remember that log(a^b) = b*log(a), so log(n²) = 2*log n... |
[
{
"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
} | Here's a Python function that solves the problem as described. The function, `find_beautiful_indices`, takes four parameters: the string `s`, the string `a`, the string `b`, and the integer `k`. It returns a list of indices in `s` where the index is beautiful according to the given conditions.
```python
def find_beaut... |
[
{
"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
} | import sys
def print_products():
N = int(input())
A = list(map(int, input().split()))
B = [A[i] * A[i + 1] for i in range(N - 1)]
print(' '.join(map(str, B)))
print_products()
|
[
{
"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, so I need to write a Python function that solves the problem of choosing the best interval [x, x + M) to maximize the number of gifts acquired. Let me try to figure out the logic step by step.
First, the problem states that there are N gifts placed on a number line at coordinates A_i. We need to select a... |
[{"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. Maybe I can use (...TRUNCATED) |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_science_cqadupstack_1744691291_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 18.7 | 59.5 | 77.6 | 43.8 | 44.3 | 27.2 | 11.5 | 3.8 |
AIME24
- Average Accuracy: 18.67% ± 1.35%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 20.00% | 6 | 30 |
| 2 | 23.33% | 7 | 30 |
| 3 | 13.33% | 4 | 30 |
| 4 | 20.00% | 6 | 30 |
| 5 | 26.67% | 8 | 30 |
| 6 | 20.00% | 6 | 30 |
| 7 | 13.33% | 4 | 30 |
| 8 | 16.67% | 5 | 30 |
| 9 | 20.00% | 6 | 30 |
| 10 | 13.33% | 4 | 30 |
AMC23
- Average Accuracy: 59.50% ± 1.61%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 55.00% | 22 | 40 |
| 2 | 52.50% | 21 | 40 |
| 3 | 67.50% | 27 | 40 |
| 4 | 62.50% | 25 | 40 |
| 5 | 62.50% | 25 | 40 |
| 6 | 52.50% | 21 | 40 |
| 7 | 65.00% | 26 | 40 |
| 8 | 60.00% | 24 | 40 |
| 9 | 55.00% | 22 | 40 |
| 10 | 62.50% | 25 | 40 |
MATH500
- Accuracy: 77.60%
Accuracy Questions Solved Total Questions 77.60% 388 500
GPQADiamond
- Average Accuracy: 43.77% ± 1.31%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 43.94% | 87 | 198 |
| 2 | 40.91% | 81 | 198 |
| 3 | 46.46% | 92 | 198 |
JEEBench
- Average Accuracy: 44.27% ± 0.61%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 45.68% | 235.25 | 515 |
| 2 | 43.16% | 222.25 | 515 |
| 3 | 43.98% | 226.5 | 515 |
MMLUPro
- Average Accuracy: 27.20% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 27.20% | 136 | 500 |
LiveCodeBench
- Average Accuracy: 11.48% ± 0.83%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 13.11% | 67 | 511 |
| 2 | 10.37% | 53 | 511 |
| 3 | 10.96% | 56 | 511 |
CodeElo
- Average Accuracy: 3.75% ± 0.34%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 3.07% | 12 | 391 |
| 2 | 4.09% | 16 | 391 |
| 3 | 4.09% | 16 | 391 |
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