context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 2 | request_idx int64 0 197 | task_name stringclasses 1
value | metadata dict | model_outputs stringlengths 1.92k 62.1k |
|---|---|---|---|---|---|---|
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A vector field f(r) falls off radially as 1/r^2 from the origin, i.e. the magnitude of the field is f(r) = 1/r^2. The field has non-zero component only along the radial... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 135 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, so I need to compute the volume integral of the divergence of a vector field f inside a sphere of radius R. The vector field f is radial and has a magnitude of 1/r². Hmm, let's start by recalling some vector calculus here.
First, the problem is asking for ∫ (∇ · f) dV over the volume of the sphere. But I remembe... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A eukaryotic cell evolved a mechanism to turn macromolecular building blocks into energy. The process occurs in mitochondria, which are cellular energy factories. In the... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 43 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, let's try to figure out this question step by step. The problem is about determining which experiment would not help in discovering the mitochondrial role of a new anti-diabetes drug. The options are A, B, C, D.
First, I need to recall what each of these techniques does. Let's start by understanding the context... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Five binary compounds of fluorine with element Y are known. The bright-red substance A1 decomposes at 293 K into A2 (ɷF=31,96%) and fluorine. A1 oxidizes xenon under nor... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 147 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, let's try to work through this problem step by step. Hmm, so we have five binary compounds of fluorine with element Y. The problem mentions several substances A1 to A5 and their reactions. The question is about the molecular weight range of A4. The options are given, so maybe by figuring out what each compound is... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: The Michael reaction is a chemical process in organic chemistry where a nucleophile adds to a molecule containing a specific carbon-carbon double bond (C=C) adjacent to ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 18 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, let's try to tackle this problem. So, we have two Michael reactions here, each leading to products A and B. The options are combinations of possible structures for A and B. I need to figure out which pair is correct.
First, let's recall what a Michael reaction is. The Michael reaction is a conjugate addition whe... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Astronomers are studying a star with a 1.5 solar radius and 1.1 solar masses. When the star's surface is not covered by dark spots, its Teff is 6000K. However, when 40% ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 51 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, so I need to figure out the factor by which the ratio of the number of neutral titanium atoms in two energy levels changes when the star has spots compared to when it doesn't. The problem gives some parameters: the star's radius is 1.5 solar radii, mass is 1.1 solar masses. The effective temperature (Teff) is 600... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: What is the energy of the Relativistic Heavy Ion Collider (RHIC) so that the speed of the nucleus X is equal to 0.96c?\n\nKnowing that X is defined as Li with 3 neutrons... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 31 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, let's see. I need to find the energy of the Relativistic Heavy Ion Collider (RHIC) such that the speed of nucleus X is 0.96c. The nucleus X is Lithium with 3 neutrons. Hmm. Let me recall the formulas related to relativistic energy.
First, Lithium normally has an atomic number of 3, which means it has 3 protons. ... |
[
{
"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 correct sequence of reagents to synthesize 1-(cyclohexyl(hydroxy)methyl)cyclohexanecarbaldehyde from ethynylcyclohexane.\n\n\nOptions: A) 1. NaNH2, methyl c... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 61 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, so I need to figure out which sequence of reagents will synthesize the target compound, 1-(cyclohexyl(hydroxy)methyl)cyclohexanecarbaldehyde, starting from ethynylcyclohexane. Let's break this down step by step.
First, let me recall the structure of the starting material and the target. Ethynylcyclohexane is cyc... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Consider a system with Hamiltonian operator $H = \\varepsilon \\vec{\\sigma}.\\vec{n}$. Here, $\\vec{n}$ is an arbitrary unit vector, $\\varepsilon $ is a constant of di... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 184 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Okay, so I need to find the eigenvalues of this Hamiltonian operator given. Let's start by recalling what the problem states. The Hamiltonian is H = ε times the dot product of the Pauli spin matrices vector σ and a unit vector n. The question is asking for the eigenvalues of this H. The options are various pairs, so I ... |
[{"content":"Return your final response within \\boxed{} and only include the letter choice (A, B, C(...TRUNCATED) | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 76 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | "Okay, let's tackle this problem step by step. So, we've got two reactions here, A and B. For each, (...TRUNCATED) |
[{"content":"Return your final response within \\boxed{} and only include the letter choice (A, B, C(...TRUNCATED) | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 157 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | "Okay, let's try to work through this problem step by step. So the question is about transcription f(...TRUNCATED) |
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