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 240k |
|---|---|---|---|---|---|---|
[
{
"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 IR and NMR data. Let's break down the information step by step.
First, let's consider the molecular formula C9H11NO2. This tells us the compound has 9 carbon atoms, 11 hydrogen, 1 nitrogen, and 2 oxygen atoms. Now, let's look at the IR... |
[
{
"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 \(y = \log_{7x}2023\). Then, using the change of base formula, we can express \(\log_{289x}2023\) in terms of \(y\). Since \(289x = (7x)^2 \cdot x = 7^2 x... |
[
{
"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 remove the largest element from each row and then add the largest of those removed elements to our score until all elements are removed. The key steps are:
1. For each row, find and remove the maximum element.
2. Record the maximum value among these removed elements.
3. Sum... |
[
{
"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 information step by step and determine which of the provided statements are correct. Let's break down the problem and each option systematically.
### Step 1: Understanding the Reactions and Complexes
1. **Addition of Excess Aqueous Ammonia to X and NH4Cl:**
- The ... |
[
{
"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 need to determine the distance between the foci of a hyperbola given its asymptotes and a point it passes through. Let's proceed step by step.
First, recall that the equations of the asymptotes of a hyperbola provide information about its orientation and center. The given asymptotes are \( y =... |
[
{
"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, let's simplify the numer... |
[
{
"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
} | To solve this problem, we need to find indices in the string `s` that meet certain criteria related to the substrings `a` and `b`, and their positions relative to each other. Here's the approach:
1. **Identify Valid Positions for `a` and `b`**:
- First, find all starting indices where the substring `a` occurs in `s... |
[
{
"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
} | To solve this problem, we need to generate an executable Python function that reads a list of integers and computes the product of consecutive pairs. The function should take input from standard input and print the results in the required format.
### Approach
1. **Reading Input**: The input consists of two lines. The ... |
[
{
"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
} | To solve this problem, we need to determine the maximum number of gifts that can be acquired by selecting an interval [x, x+M) on a number line. The gifts are located at coordinates given in the input. The goal is to choose the interval such that it captures as many gifts as possible.
### Approach
1. **Understanding t... |
[
{
"content": "Problem: Simplify $\\tan 100^\\circ + 4 \\sin 100^\\circ.$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"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 start by using trigonometric identities and properties of angles in different quadrants.
First, note that \(100^\circ\) is in the second quadrant. In the second quadrant, the tangent function is negative, and the sine function is positive. So, \(\tan 100^\circ = -\... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: A \"strictly binary tree\" is a binary tree in which every node that is not a leaf has two children. Suppose that for a class of strictly binary tree... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 26 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to analyze the properties of a strictly binary tree and use the given condition about the ratio of root-to-leaf path lengths to determine the relationship between the height \( h \) and the number of nodes \( N \).
First, recall that a strictly binary tree is a tree where every non-leaf ... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Match the reactions (in the given stoichiometry of the reactants) in List... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 482 | JEEBench | {
"expected_answer": "D",
"problem_id": "48",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | To solve this problem, we need to determine the correct products for each reaction in List-I and match them with the corresponding products in List-II. Let's analyze each reaction step by step.
### Reaction (P)
\[ \mathrm{P}_{2}\mathrm{O}_{3} + 3 \mathrm{H}_{2}\mathrm{O} \rightarrow \]
**Analysis:**
- \(\mathrm{P}_{2... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: A container weighs 3.22 lb force when empty. Filled with water at 60°F the mass of the container and its contents is 1.95 slugs. Find its volume in c... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 212 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the volume of the container when it is filled with water. The given information includes the weight of the empty container, the total weight when filled with water, and the density of water. Let's break down the problem step by step.
First, recall that weight is a force, and... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: A container with $1 \\mathrm{~kg}$ of water in it is kept in s... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 284 | JEEBench | {
"expected_answer": "8.33",
"problem_id": "18",
"reference_solution": null,
"subject": "phy",
"type": "Numeric"
} | To solve this problem, we need to determine the temperature difference between the water and the surroundings after a long time, given the conditions. Let's break down the problem step by step.
### Step 1: Understand the Energy Balance
The water is absorbing solar energy while losing heat to the surroundings via Newto... |
End of preview. Expand in Data Studio
YAML Metadata Warning:empty or missing yaml metadata in repo card
Check out the documentation for more information.
mlfoundations-dev/a1_code_stackexchange_codereview_1744693103_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 18.0 | 52.5 | 74.8 | 42.8 | 40.3 | 28.6 | 25.6 | 6.8 |
AIME24
- Average Accuracy: 18.00% ± 1.35%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 26.67% | 8 | 30 |
| 2 | 20.00% | 6 | 30 |
| 3 | 13.33% | 4 | 30 |
| 4 | 16.67% | 5 | 30 |
| 5 | 16.67% | 5 | 30 |
| 6 | 20.00% | 6 | 30 |
| 7 | 16.67% | 5 | 30 |
| 8 | 13.33% | 4 | 30 |
| 9 | 13.33% | 4 | 30 |
| 10 | 23.33% | 7 | 30 |
AMC23
- Average Accuracy: 52.50% ± 1.77%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 52.50% | 21 | 40 |
| 2 | 52.50% | 21 | 40 |
| 3 | 47.50% | 19 | 40 |
| 4 | 62.50% | 25 | 40 |
| 5 | 52.50% | 21 | 40 |
| 6 | 60.00% | 24 | 40 |
| 7 | 52.50% | 21 | 40 |
| 8 | 47.50% | 19 | 40 |
| 9 | 55.00% | 22 | 40 |
| 10 | 42.50% | 17 | 40 |
MATH500
- Accuracy: 74.80%
Accuracy Questions Solved Total Questions 74.80% 374 500
GPQADiamond
- Average Accuracy: 42.76% ± 0.36%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 41.92% | 83 | 198 |
| 2 | 42.93% | 85 | 198 |
| 3 | 43.43% | 86 | 198 |
JEEBench
- Average Accuracy: 40.29% ± 0.92%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 38.16% | 196.5 | 515 |
| 2 | 41.99% | 216.25 | 515 |
| 3 | 40.73% | 209.75 | 515 |
MMLUPro
- Average Accuracy: 28.60% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 28.60% | 143 | 500 |
LiveCodeBench
- Average Accuracy: 25.57% ± 0.57%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 24.66% | 126 | 511 |
| 2 | 26.61% | 136 | 511 |
| 3 | 25.44% | 130 | 511 |
CodeElo
- Average Accuracy: 6.82% ± 0.90%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 8.18% | 32 | 391 |
| 2 | 7.16% | 28 | 391 |
| 3 | 5.12% | 20 | 391 |
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