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 658k |
|---|---|---|---|---|---|---|
[
{
"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": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Among $\\left[\\mathrm{I}_{3}\\right]^{+},\\left[\\mathrm{SiO}_{4}\\right]^{4-}, \\mathrm{SO}_{2} \\mathrm{Cl}... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 510 | JEEBench | {
"expected_answer": "5",
"problem_id": "43",
"reference_solution": null,
"subject": "chem",
"type": "Integer"
} | To determine the number of species with \( sp^3 \) hybridization, we need to analyze each compound's central atom and its hybridization state. Let's go through each species step by step.
1. **\[ \text{I}_3^+ \]**
Central atom: Iodine (I).
Charge: +1.
Lewis structure: Iodine has 7 valence electrons, each... |
[
{
"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 a string S of length N consisting of lowercase English letters.\nWe denote the i-th character of S by S_... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 217 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to generate a new string by concatenating the input string in a specific pattern. The new string should consist of each character in the input string repeated twice, followed by the input string itself again. For example, if the input string is "beginner" (8 characters), the output is "bb... |
[
{
"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": "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: Let $X$ be the set consisting of the first 2018 terms of the a... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 144 | JEEBench | {
"expected_answer": "3748",
"problem_id": "45",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve this problem, we need to determine the number of elements in the union of two arithmetic sequences, \(X\) and \(Y\), each consisting of 2018 terms. The goal is to find how many unique elements are present in either \(X\) or \(Y\).
### Step 1: Define the Arithmetic Sequences
**Sequence \(X\):**
- First term: \... |
[
{
"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: The extremes of temperature in New York, over a period of 50 years, differ by 116 Fahrenheit degrees. Express this 50 years, differ by 116 Fahrenheit... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 387 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To convert the temperature difference from Fahrenheit to Celsius, we can use the formula that relates the two scales. The formula to convert a temperature difference (Δ) from Fahrenheit to Celsius is:
\[ \Delta C = \frac{5}{9} \times \Delta F \]
Given that the temperature difference in Fahrenheit is 116 degrees, we c... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: For a complex number $z$, let $\\operatorname{Re}(z)$ denote the real part of $z$. Let $S$ be the set of all c... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 294 | JEEBench | {
"expected_answer": "8",
"problem_id": "37",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | To solve the given problem, we start by analyzing the equation \( z^4 - |z|^4 = 4i z^2 \). Let \( z = x + yi \) where \( x \) and \( y \) are real numbers. Then, \( |z|^4 = (x^2 + y^2)^2 \) and \( z^2 = (x + yi)^2 = x^2 - y^2 + 2xyi \). Similarly, \( z^4 \) can be computed as \( (z^2)^2 = (x^2 - y^2 + 2xyi)^2 \).
Firs... |
[
{
"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": "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: Let $S=\\left\\{x \\in(-\\pi, \\pi): x \\neq 0, \\pm \\frac{\\pi}{2}\\rig... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 26 | JEEBench | {
"expected_answer": "C",
"problem_id": "39",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | To solve the equation \(\sqrt{3} \sec x + \operatorname{cosec} x + 2(\tan x - \cot x) = 0\) for \(x \in S = \left\{x \in (-\pi, \pi): x \neq 0, \pm \frac{\pi}{2}\right\}\), we start by expressing all trigonometric functions in terms of sine and cosine.
First, recall the definitions:
\[
\sec x = \frac{1}{\cos x}, \quad... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 358 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the winner of a game where Alice and Bob take turns inserting logical operators ('and' or 'or') between a sequence of boolean values. The goal is to predict the outcome assuming both players play optimally.
### Approach
1. **Understanding the Game Dynamics**:
- Alice want... |
[
{
"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: Let $A P(a ; d)$ denote the set of all the terms of an infinit... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 212 | JEEBench | {
"expected_answer": "157",
"problem_id": "50",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve the problem, we need to find the intersection of three arithmetic progressions (APs) and determine the parameters \(a\) and \(d\) such that the intersection forms another AP. The given APs are \(AP(1, 3)\), \(AP(2, 5)\), and \(AP(3, 7)\).
First, let's write down the general terms of each AP:
- \(AP(1, 3)\) ha... |
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_1744643682_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 16.3 | 55.8 | 76.2 | 46.3 | 39.1 | 29.0 | 25.2 | 6.5 |
AIME24
- Average Accuracy: 16.33% ± 1.52%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 26.67% | 8 | 30 |
| 2 | 16.67% | 5 | 30 |
| 3 | 10.00% | 3 | 30 |
| 4 | 13.33% | 4 | 30 |
| 5 | 20.00% | 6 | 30 |
| 6 | 20.00% | 6 | 30 |
| 7 | 13.33% | 4 | 30 |
| 8 | 10.00% | 3 | 30 |
| 9 | 16.67% | 5 | 30 |
| 10 | 16.67% | 5 | 30 |
AMC23
- Average Accuracy: 55.75% ± 2.24%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 52.50% | 21 | 40 |
| 2 | 67.50% | 27 | 40 |
| 3 | 55.00% | 22 | 40 |
| 4 | 65.00% | 26 | 40 |
| 5 | 62.50% | 25 | 40 |
| 6 | 55.00% | 22 | 40 |
| 7 | 47.50% | 19 | 40 |
| 8 | 50.00% | 20 | 40 |
| 9 | 57.50% | 23 | 40 |
| 10 | 45.00% | 18 | 40 |
MATH500
- Accuracy: 76.20%
Accuracy Questions Solved Total Questions 76.20% 381 500
GPQADiamond
- Average Accuracy: 46.30% ± 1.13%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 45.45% | 90 | 198 |
| 2 | 48.99% | 97 | 198 |
| 3 | 44.44% | 88 | 198 |
JEEBench
- Average Accuracy: 39.14% ± 0.79%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 37.33% | 192.25 | 515 |
| 2 | 39.47% | 203.25 | 515 |
| 3 | 40.63% | 209.25 | 515 |
MMLUPro
- Average Accuracy: 29.00% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 29.00% | 145 | 500 |
LiveCodeBench
- Average Accuracy: 25.24% ± 0.60%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 24.07% | 123 | 511 |
| 2 | 26.03% | 133 | 511 |
| 3 | 25.64% | 131 | 511 |
CodeElo
- Average Accuracy: 6.48% ± 0.37%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 7.16% | 28 | 391 |
| 2 | 6.39% | 25 | 391 |
| 3 | 5.88% | 23 | 391 |
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