context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 0 | request_idx int64 0 197 | task_name stringclasses 1
value | metadata dict | model_outputs stringlengths 2.81k 136k |
|---|---|---|---|---|---|---|
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Two quantum states with energies E1 and E2 have a lifetime of 10^-9 sec and 10^-8 sec, respectively. We want to clearly distinguish these two energy levels. Which one of... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 0 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So, we have two quantum states with energies E1 and E2, and their lifetimes are 10^-9 seconds and 10^-8 seconds, respectively. We need to determine the energy difference that would allow us to clearly distinguish between these two states. The options giv... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: trans-cinnamaldehyde was treated with methylmagnesium bromide, forming product 1.\n\n1 was treated with pyridinium chlorochromate, forming product 2.\n\n3 was treated wi... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 1 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | <|begin_of_thought|>
Okay, let's try to figure out how many carbon atoms are in product 3. The problem mentions a series of reactions starting from trans-cinnamaldehyde. Let me break down each step one by one.
First, trans-cinnamaldehyde is treated with methylmagnesium bromide. I remember that when aldehydes react wi... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A spin-half particle is in a linear superposition 0.5|\\uparrow\\rangle+sqrt(3)/2|\\downarrow\\rangle of its spin-up and spin-down states. If |\\uparrow\\rangle and |\\d... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 2 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | <|begin_of_thought|>
Okay, let's try to figure out this problem step by step. So, the question is about finding the expectation value of the operator 10σz + 5σx for a spin-half particle that's in a certain superposition state. The state given is 0.5|↑⟩ + sqrt(3)/2|↓⟩. Hmm, right. Let me recall what I know about spin s... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: In a parallel universe where a magnet can have an isolated North or South pole, Maxwell’s equations look different. But, specifically, which of those equations are diffe... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 3 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So the question is about Maxwell's equations in a parallel universe where magnets can have isolated North or South poles. We need to determine which of the Maxwell's equations are different in that case. The options are A, B, C, or D. Let me start by rec... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Calculate the eigenvector of a quantum mechanical operator $\\vec{P}$ for a muon along an arbitrary direction $\\vec{n}$ lying in the x-z plane corresponding to the eige... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 4 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | <|begin_of_thought|>
Okay, let's try to figure out this problem step by step. So, the question is about finding the normalized eigenvector of the quantum mechanical operator P for a muon along an arbitrary direction n in the x-z plane, corresponding to the eigenvalue +ħ/2. The components of P are given as matrices for... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A quantum mechanical particle of mass m moves in two dimensions in the following potential, as a function of (r,θ): V (r, θ) = 1/2 kr^2 + 3/2 kr^2 cos^2(θ)\nFind the ene... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 5 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | <|begin_of_thought|>
Okay, let's try to figure out this quantum mechanics problem. The potential given is V(r, θ) = (1/2)k r² + (3/2)k r² cos²θ. The particle is in two dimensions, so we need to solve the Schrödinger equation in polar coordinates. Hmm, right, because the potential is radially symmetric in some way, but... |
[{"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": 0,
"temperature": 0.7
} | 0 | 6 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | "<|begin_of_thought|>\n\nOkay, let's try to figure out this problem. So the question is about the an(...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": 0,
"temperature": 0.7
} | 0 | 7 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | "<|begin_of_thought|>\n\nOkay, let's try to figure out this problem step by step. So, the question i(...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": 0,
"temperature": 0.7
} | 0 | 8 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | "<|begin_of_thought|>\n\nOkay, let's try to figure out which of these molecules has C3h symmetry. Hm(...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": 0,
"temperature": 0.7
} | 0 | 9 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | "<|begin_of_thought|>\n\nOkay, let's try to figure out which exoplanet has the highest density. The (...TRUNCATED) |
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