context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 9
values | metadata dict | model_outputs stringlengths 425 187k |
|---|---|---|---|---|---|---|
[
{
"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: In an experiment to measure the speed of sound by a resonating air col... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 153 | JEEBench | {
"expected_answer": "AC",
"problem_id": "6",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | To solve this problem, we need to determine the speed of sound, the end correction, the wavelength, and identify which resonance corresponds to the fundamental harmonic based on the given data. Let's proceed step by step.
### Step 1: Understanding the Experiment
The experiment uses a resonance tube to find the speed o... |
[
{
"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 the point $B$ be the reflection of the point $A(2,3)$ with... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 214 | JEEBench | {
"expected_answer": "10",
"problem_id": "52",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve this problem, we need to determine the length of the line segment \( AC \), where \( C \) is the intersection point of the common tangent \( T \) to circles \( \Gamma_A \) and \( \Gamma_B \), and the line passing through points \( A \) and \( B \).
### Step 1: Find the coordinates of point \( B \)
Point \( B... |
[
{
"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 the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 119 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem statement says that Shohag can perform operations where each time he inserts the number of inversions (k) into the array at any position. The goal is to find the number of distinct arrays of length n that can be formed after any number of such operations, modulo... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: The Cope rearrangement is a chemical reaction where a 1,5-diene molecule undergoes rearrangement, resulting in a change in the positions of its carbon-carbon double bond... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 76 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let me think about the problem step by step. The task is to determine the major products from two different rearrangements. Let's break down each part.
First, let's look at the first rearrangement: ((3-methylbut-2-en-1-yl)oxy)methyl)benzene treated with 1. BuLi, followed by 2. H+.
Hmm, the first step is probably a l... |
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