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 1.63k 111k |
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[
{
"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... | {
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"seed": 0,
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} | 0 | 0 | GPQADiamond | {
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} | Okay, so I'm trying to figure out this quantum mechanics problem. It's about energy levels and their lifetimes. Hmm, the problem says that two quantum states have energies E1 and E2, with lifetimes of 10^-9 seconds and 10^-8 seconds respectively. We want to clearly distinguish these two levels, and we need to find the ... |
[
{
"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": "",
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} | Alright, let's tackle this organic chemistry problem step by step. I'm a bit new to this, so I'll take it slow and think through each part carefully.
First, the problem involves a series of reactions starting with trans-cinnamaldehyde. I'll need to figure out the structure of each product after each reaction to determ... |
[
{
"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": ""
} | Alright, so I have this quantum mechanics problem here, and I need to find the expectation value of the operator \(10\sigma_z + 5\sigma_x\) for a given spin-½ particle state. The state is a linear combination of the eigenstates of \(\sigma_z\), specifically \(0.5|\uparrow\rangle + \frac{\sqrt{3}}{2}|\downarrow\rangle\)... |
[
{
"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": ""
} | Okay, so I have this physics problem about Maxwell's equations in a parallel universe where magnets can have isolated North or South poles. I need to figure out which of Maxwell's equations change. The options are A, B, C, D, each pointing to different equations.
First, I remember that in our universe, one of Maxwell'... |
[
{
"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": ""
} | Alright, so I have this quantum mechanics problem here, and I need to find the eigenvector of a certain operator. Hmm, let me try to unpack this step by step.
First, the problem mentions a quantum mechanical operator **P** for a muon along an arbitrary direction **n** lying in the x-z plane. The eigenvector correspon... |
[
{
"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": ""
} | Alright, so I have this quantum mechanics problem here, and I need to find the energy spectrum for a particle in a specific potential. Let me try to work through this step by step. I'm a bit new to this, so I might make some mistakes, but I'll try to correct them as I go along.
The potential given is V(r, θ) = (1/2)kr... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: The universe is filled with the Cosmic Microwave Background. Consider the annihilation of high energy \\gamma-rays with a photon from the CMB Radiation into electron-pos... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 6 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Alright, so I have this physics problem here about the Cosmic Microwave Background (CMB) and gamma-ray annihilation. Hmm, okay, let me try to wrap my head around it. The question is asking from what energy gamma-rays would have their lifetimes limited by the interaction where two gamma-rays annihilate into an electron-... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: You perform a high-throughput experiment on white lupine to find genes contributing to resistance to the fungal disease anthracnose. As a result, you receive three candi... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 7 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Alright, let's tackle this genetics problem step by step. So, the question is about determining the interactions between three genes (G1, G2, G3) in white lupine that are involved in resistance to anthracnose. They've done knockouts and double knockouts and tested the sensitivity to the fungal disease.
First, I need t... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: which of the following molecules has c3h symmetry?\ntriisopropyl borate\nquinuclidine\nbenzo[1,2-c:3,4-c':5,6-c'']trifuran-1,3,4,6,7,9-hexaone\ntriphenyleno[1,2-c:5,6-c'... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 8 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": ""
} | Alright, so I have this question about which molecule has C3 symmetry. The options are A) quinuclidine, B) triisopropyl borate, C) a complex benzo ring molecule, and D) another complex molecule. I'm a bit rusty on my symmetry elements, but let me try to break this down.
First, I need to recall what C3 symmetry means. ... |
[{"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": ""
} | "Okay, so I have this question about exoplanets and their densities. I need to figure out which one (...TRUNCATED) |
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