prompt_id stringlengths 39 39 | messages listlengths 2 2 | response stringlengths 0 65.3k |
|---|---|---|
sha256:0f4dd8412d2aa5ebdd0f36fd5753c570 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"quantum field theory",
"particle physics",
"topological quantum statistics",
"representation theory of Lorentz group"
],
"difficulty": "hard",
"language": "en",
"summary": "Why do fractional spin particles require 2+1 spacetime dimensions?"
} |
sha256:9795c92a8d28adedc21bf26b08e2887a | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"acousto-optics",
"diffraction",
"refractive index modulation"
],
"difficulty": "hard",
"language": "en",
"summary": "Clarifying whether diffraction occurs in the Raman-Nath experiment with ultrasonic waves."
} |
sha256:f3bd2d44c275361011a2430fc6ad1b66 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"precipitation reactions",
"solubility rules",
"qualitative analysis",
"ion identification"
],
"difficulty": "hard",
"language": "en",
"summary": "Identify salts based on precipitation and reactivity tests."
} |
sha256:cf8ce5fefdc782d6c8812288e662f803 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": [
"matrix algebra",
"anti-commutation relations",
"Hermitian matrices"
],
"difficulty": "hard",
"language": "en",
"summary": "Finding 3+ Hermitian matrices satisfying specific anti-commutation and square identities."
} |
sha256:95c46a87476112754e901a2e08cbb0d9 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"quantum mechanics",
"quantum entanglement",
"observables and commutation",
"nonlocality and realism"
],
"difficulty": "hard",
"language": "en",
"summary": "Understanding commuting observables and their measurement outcomes in a three-photon entangled syste... |
sha256:70590087e607ea99fc1e6f77626a0129 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"solubility",
"precipitation reactions",
"Ksp calculations"
],
"difficulty": "hard",
"language": "en",
"summary": "Determine which precipitate forms first and ion concentration at second precipitate onset."
} |
sha256:aef791ae08ab32500066804d96afa7d0 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": [
"quantum mechanics",
"inner products",
"combinatorics",
"asymptotic analysis"
],
"difficulty": "hard",
"language": "en",
"summary": "Find a closed-form expression for a sum of inner products over all permutations of two quantum strings."
} |
sha256:231ebea7c6f410daf6c349f47bc169d1 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"polymer chemistry",
"acid-catalyzed polymerization",
"polypropylene synthesis"
],
"difficulty": "medium",
"language": "en",
"summary": "Show polymerization steps and repeating unit of polypropylene."
} |
sha256:174374d57eb8eb1271c1366f39b670c2 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"organic chemistry",
"stereochemistry",
"chirality",
"molecular structure"
],
"difficulty": "medium",
"language": "en",
"summary": "What is required to detect a chirality center in a complex molecule?"
} |
sha256:43265986a7e465d7ef83b94341e05da1 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"rotational dynamics",
"rolling without slipping",
"torque and angular acceleration",
"incline plane mechanics"
],
"difficulty": "hard",
"language": "en",
"summary": "Find minimum cylinder radius for taut string using acceleration comparison on incline."
} |
sha256:a0f60667b5ab3a0839057f3aea707aba | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"stereoisomerism",
"meso compounds",
"conformational analysis"
],
"difficulty": "hard",
"language": "en",
"summary": "Characteristics of the anti conformation of meso-2,3-butanediol"
} |
sha256:33c12e61527f1836df82ebc3be69e181 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"conservation of momentum",
"internal forces",
"center of mass motion"
],
"difficulty": "hard",
"language": "en",
"summary": "Clarifying external forces in momentum change and center of mass acceleration in closed systems."
} |
sha256:9c89909918d6287c84c244601783472b | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"quantum field theory",
"angular momentum in field theory",
"ladder operators and normal ordering"
],
"difficulty": "hard",
"language": "en",
"summary": "Derive angular momentum operator in QFT using ladder operators and normal ordering."
} |
sha256:2d453c4c0e2bfd0c7943275092376b8c | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"quantum mechanics",
"Stern-Gerlach experiment",
"thermal interpretation of quantum mechanics"
],
"difficulty": "hard",
"language": "en",
"summary": "Evaluating the thermal interpretation's deterministic view of quantum measurement outcomes."
} |
sha256:c30f8aa7e01de87c5320acd7654ed29a | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"carbon NMR spectroscopy",
"deuterium exchange",
"NMR sample preparation"
],
"difficulty": "medium",
"language": "en",
"summary": "Explain NMR conditions and expected spectra for OH/NH2 compounds in D2O."
} |
sha256:3e28264bb42102d9f34b5ddc3c141255 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"chemical kinetics",
"Arrhenius equation",
"reaction rate dependence on temperature"
],
"difficulty": "medium",
"language": "en",
"summary": "Explains why reaction rate doubles with 10Β°C temperature increase."
} |
sha256:0d46e9f20226b83fb43bc7a9b8a4ff36 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemical engineering",
"topics": [
"reactor design",
"PFR and CSTR in series",
"residence time calculation"
],
"difficulty": "hard",
"language": "en",
"summary": "Calculate residence times for PFR and CSTR in series with 96% conversion."
} |
sha256:eaaa11562a581547f5d1a0e59cbc9657 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"gas laws",
"partial pressure",
"STP calculations"
],
"difficulty": "medium",
"language": "en",
"summary": "Calculate dry nitrogen volume at STP from wet gas sample."
} |
sha256:07795c4e88c9a9e8dedb3e8aab859e55 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": ["NMR spectroscopy", "aromatic compounds", "chemical shift"],
"difficulty": "medium",
"language": "en",
"summary": "Find the NMR chemical shift range for aromatic compounds."
} |
sha256:b438b6bffa5198bb0ede570ce4f6ff34 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"organic chemistry",
"arene reactions",
"benzylic stability"
],
"difficulty": "medium",
"language": "en",
"summary": "Reactions on arenes include ring and side chain processes influenced by benzylic radical and carbocation stability."
} |
sha256:30de0b616a2d77b9ccf97574b9ba8c64 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"organic chemistry",
"ozonolysis",
"reductive workup",
"haloform reaction",
"Wolff-Kishner reduction",
"stereoisomerism",
"catalytic hydrogenation"
],
"difficulty": "hard",
"language": "en",
"summary": "Determine structures of A, B, C and iden... |
sha256:f47ae8b52fd6c6f4844d0e781cc7c584 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"electrolysis",
"aluminum production",
"cryolite",
"fluorspar"
],
"difficulty": "medium",
"language": "en",
"summary": "Explains challenges in electrolysis of pure alumina and solutions using mixtures."
} |
sha256:83bdef4ad26610df02474df9480f1057 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"elimination reactions",
"isotope effects",
"deuterium labeling"
],
"difficulty": "medium",
"language": "en",
"summary": "Identify products from HBr and DBr elimination in deuterated compound."
} |
sha256:dee800d7b325aeb4c8df493aea1016d6 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"molecular orbital theory",
"homo",
"diatomic molecules"
],
"difficulty": "hard",
"language": "en",
"summary": "Identify diatomic species with Οββ as HOMO."
} |
sha256:943923ae096bd99541dd6ce0de3df34e | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"oxidizing agents",
"reducing agents",
"dehydrating agents",
"BrΓΈnsted acids"
],
"difficulty": "medium",
"language": "en",
"summary": "Classify given chemicals by their acid, oxidizing, reducing, and dehydrating properties."
} |
sha256:01e97d07f8edd4dc98e3ac394bc27b8e | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"celestial mechanics",
"gravitational trajectories",
"two-body problem",
"collision orbits in Newtonian gravity"
],
"difficulty": "hard",
"language": "en",
"summary": "Trajectories of colliding point masses under 2D Newtonian gravity and their parametric fo... |
sha256:ff149be316fe2446bb52349225413f49 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"Diels-Alder reaction",
"Ξ±,Ξ²-unsaturated carbonyl compounds",
"dimerization"
],
"difficulty": "medium",
"language": "en",
"summary": "Dimerization competes with Diels-Alder reactions."
} |
sha256:22fbd2bc781c49651b1795439c7f8529 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "science", "topics": ["NMR spectroscopy", "proton coupling", "chemical shift"], "difficulty": "medium", "language": "en", "summary": "Identify the proton responsible for the broad signal at ~2.9 ppm in NMR."} |
sha256:4999c6a1f742fcf17771e60a258ced39 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"cosmic matter distribution",
"dark matter distribution",
"galaxy formation simulations"
],
"difficulty": "hard",
"language": "en",
"summary": "Distribution of visible and dark matter in the universe."
} |
sha256:3727a111bef6be6246555b4fd449b5a8 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"chemical equilibrium",
"gas laws",
"Kp calculations",
"decomposition reactions"
],
"difficulty": "hard",
"language": "en",
"summary": "Calculate percentage of BaO2 decomposed using Kp and ideal gas law."
} |
sha256:a74b4050b642b9bd853d2b158abbf65f | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"organic chemistry",
"nucleophilic acyl substitution",
"reduction reactions"
],
"difficulty": "medium",
"language": "en",
"summary": "Mechanisms of ester reduction and hydrolysis with LiAlH4 and Grignard reagents"
} |
sha256:86be79e73a8baa1d346ad3effe0ac749 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": [
"parabola",
"normal line",
"coordinate geometry"
],
"difficulty": "hard",
"language": "en",
"summary": "Prove AB = 2p for points on a parabola yΒ² = 4px."
} |
sha256:fb578c1a59b4c2d8478864f6bfd520e3 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"topological phases of matter",
"Stiefel-Whitney classes",
"gauge theory and anomalies"
],
"difficulty": "hard",
"language": "en",
"summary": "References and mathematical nature of the 't Hooft twisted torus and generalized $u_2$ class.",
"references": [
... |
sha256:5b5e9611cffa310b35ef83663c23d8ce | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": [
"diffeomorphism groups",
"general relativity",
"coordinate transformations",
"geodesic equation"
],
"difficulty": "hard",
"language": "en",
"summary": "Classify diffeomorphisms in GR by physical meaning and mathematical structure."
} |
sha256:0dbf2b14fa06e99ca9d14319d2077ee9 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "chemistry", "topics": ["bond dissociation energy", "radical stability", "alkane C-H bonds"], "difficulty": "easy", "language": "en", "summary": "Bond dissociation energy of CH3-CH2-H in ethane is 410 kJ/mol."} |
sha256:b0782f095480529d53bc20e3d746a241 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"conformal field theory",
"chiral algebras",
"finite group symmetry",
"lattice models in statistical mechanics"
],
"difficulty": "hard",
"language": "en",
"summary": "Given a finite group, determine which chiral algebra can realize its symmetry in 2D CFT."
... |
sha256:6a8ca04767d01e67b826c911b0340f41 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"quantum mechanics",
"SchrΓΆdinger equation",
"conical potential",
"Airy function"
],
"difficulty": "hard",
"language": "en",
"summary": "Eigenvalues and eigenstates for 2D and 3D conical potentials are unknown."
} |
sha256:a4860bb6c9543e3b956c07f06aa9fa11 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"general relativity",
"spacetime geometry",
"volume in curved spacetime",
"Planck scale physics"
],
"difficulty": "hard",
"language": "en",
"summary": "Does spacetime volume change under curvature without energy exchange?"
} |
sha256:ca36c500ae1365478369b2715f1c2ad0 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"quantum field theory",
"conformal field theory",
"renormalization group flow"
],
"difficulty": "hard",
"language": "en",
"summary": "Explanation of dilaton deformations and fine-tuning in the a-theorem context"
} |
sha256:70d1c89ed1f3f77821b05c49f60163ce | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"organic chemistry",
"rearrangement reactions",
"organocopper chemistry"
],
"difficulty": "medium",
"language": "en",
"summary": "Outcome of cyclopropylcarbinyl halide reaction with organocuprates"
} |
sha256:d154b054030841b9b029b41b5825a4c6 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "science", "topics": ["acid-base titration", "stoichiometry", "analytical chemistry"], "difficulty": "hard", "language": "en", "summary": "Calculate NaOH volume for back-titration after H2SO4 reacts with soda ash."} |
sha256:fa94563c285ca031b62e6bb7ad7e17ca | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "math", "topics": ["vector calculus", "curl", "divergence-free fields"], "difficulty": "hard", "language": "en", "summary": "Find a vector potential for half of a Coulomb field on z > 0."} |
sha256:1488571e02fc6f2a9544ac64fc24d532 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"aromaticity",
"ring current",
"cyclobutadiene",
"strain energy"
],
"difficulty": "medium",
"language": "en",
"summary": "How does cyclobutadieno annelation disrupt benzene ring current?"
} |
sha256:6e601600823ba8ef954af4d724714268 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "science", "topics": ["stereochemistry", "molecular symmetry", "tartaric acid"], "difficulty": "medium", "language": "en", "summary": "How symmetry reduces stereoisomer count in tartaric acid"} |
sha256:904282f198ad9162dcbd81707c15f399 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"thermodynamics",
"combustion engineering",
"gas analysis"
],
"difficulty": "hard",
"language": "en",
"summary": "Calculate combustion products volume, enthalpy, and air requirements for natural gas."
} |
sha256:3eec8a4397ac6dfd2411473b0d52ab9b | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": [
"calculus of variations",
"Euler-Lagrange equations",
"Hamiltonian mechanics"
],
"difficulty": "hard",
"language": "en",
"summary": "Derive momentum and energy relations for on-shell action via differentiation."
} |
sha256:6dcb39cc10b8665533d201c7fc6ee3b1 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"bioenergetics",
"enzyme kinetics",
"thermodynamics in biochemistry"
],
"difficulty": "medium",
"language": "en",
"summary": "Calculate ΞGΒ°β, K_eq, and substrate ratio for pyruvate kinase reaction."
} |
sha256:db637cfaa70fe8cdb9b6d2a4961a9a6d | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"rocket equation",
"conservation of momentum",
"thrust efficiency",
"impulse and mass ejection"
],
"difficulty": "hard",
"language": "en",
"summary": "Determines optimal mass ejection strategy for maximum velocity gain."
} |
sha256:f7728d1c46aa34193fe76f549fc18bb0 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"Laplace's equation",
"boundary conditions",
"axisymmetric coordinates"
],
"difficulty": "hard",
"language": "en",
"summary": "Correct boundary condition for Laplace's equation at infinity in axisymmetric coordinates."
} |
sha256:9b161745a66a79e65ac1bec05b1b5f6c | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"general relativity",
"rotating reference frames",
"Sagnac effect"
],
"difficulty": "hard",
"language": "en",
"summary": "Derive the line element in a rotating frame using relativistic transformations."
} |
sha256:9c1f75a8b262a0b32e75ba92e87b5ce0 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": [
"heat equation",
"partial differential equations",
"boundary value problems",
"analytical solutions"
],
"difficulty": "hard",
"language": "en",
"summary": "Derive analytical solution to heat equation with given BCs without Fourier methods."
} |
sha256:3db58224839f8df5d38354ed1ce7cbda | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"quantum Ising model",
"transfer matrix method",
"imaginary time path integral",
"quantum-classical mapping"
],
"difficulty": "hard",
"language": "en",
"summary": "Verifying the correctness of a matrix element identity in quantum-classical mapping."
} |
sha256:d3a0bdc2e5d8bee5aca2ecc49e954abf | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": ["oxidation number", "sulfur compounds", "organic chemistry"],
"difficulty": "medium",
"language": "en",
"summary": "Find oxidation state of sulfur in (CH3)2SO"
} |
sha256:eca979039a810f6e1e5ac42ac9419aab | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"optics",
"lenses",
"image formation"
],
"difficulty": "medium",
"language": "en",
"summary": "Can a convex lens form an image from a virtual image of a concave lens?"
} |
sha256:7b66b0a9c54966965e84fa7c44c37d35 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "chemistry", "topics": ["bond length", "resonance", "carbonyl bonds"], "difficulty": "medium", "language": "en", "summary": "Explain bond length differences using resonance and equivalence."} |
sha256:fd0479a7e49b3dde2832c4fb949aa539 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"topological order",
"fractional quantum Hall effect",
"quantum spin liquids",
"symmetry-enriched topological phases"
],
"difficulty": "hard",
"language": "en",
"summary": "Clarifying the relationship between FQHE, QSL, and SETs in topological phases of mat... |
sha256:1e429eca53f538534f75bb33a218c091 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "science", "topics": ["boiling point trends", "van der Waals forces", "molecular branching"], "difficulty": "medium", "language": "en", "summary": "Order hexane and heptane isomers by boiling point using molecular weight and branching."} |
sha256:ff80174bb0c00501b1dfc12dbfe2ace8 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"organometallic chemistry",
"catalytic cycles",
"nickel catalysis"
],
"difficulty": "hard",
"language": "en",
"summary": "Propose a NiβH-involved catalytic cycle for ethylene to 1-butene conversion."
} |
sha256:df5950a70e1f954921a1c493df43b2c0 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"special relativity",
"relativistic kinematics",
"spacetime diagrams",
"frame dependence of simultaneity"
],
"difficulty": "hard",
"language": "en",
"summary": "Why does annihilation location differ across frames in special relativity?"
} |
sha256:4b0a3288971c047259eda6c76a7d3a71 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": [
"inequalities",
"quadratic functions",
"parameter analysis"
],
"difficulty": "hard",
"language": "en",
"summary": "Find integral values of a making inequality true for all x in [0,2]"
} |
sha256:ffeee5de0243bc282b8a9bc5b419867e | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": ["chemistry", "precipitation", "acid-base equilibrium"],
"difficulty": "medium",
"language": "en",
"summary": "Explains why CaΒ²βΊ remains after CaCβOβ precipitation in oxalic acid"
} |
sha256:8daf3a79ceaa9f0931606ddbd05c490f | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"rigid body dynamics",
"rotation matrices",
"angular velocity transformation",
"Euler angles"
],
"difficulty": "hard",
"language": "en",
"summary": "Why rotation matrices differ for linear vs. angular velocity transformations in Euler angle systems"
} |
sha256:dfcc074dae6734ff64454284ebbad2a7 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"crystallography",
"space groups",
"molecular symmetry"
],
"difficulty": "hard",
"language": "en",
"summary": "Determine crystal structure parameters of hexamethylenetetramine from X-ray data."
} |
sha256:f3da0a6d7674cdd3602acd4660c20857 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"thermodynamics",
"energy conservation",
"entropy",
"work and heat transfer"
],
"difficulty": "hard",
"language": "en",
"summary": "Exploring entropy, work, and energy in a bouncing ball scenario."
} |
sha256:46d40af4e6f563829cc365d89ccf8ce1 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"organic chemistry",
"carbocation rearrangement",
"alkyl shift",
"methyl shift"
],
"difficulty": "hard",
"language": "en",
"summary": "Predict and explain carbocation rearrangements in a complex organic reaction."
} |
sha256:577162a6e7ef034b277082584bcdc6c6 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "science", "topics": ["radioactive decay", "activity calculation", "carbon-14"], "difficulty": "medium", "language": "en", "summary": "Calculate microcuries of carbon-14 needed for a tracer gas sample."} |
sha256:8e01c9c3209f439dbb28602371e3ec6d | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"solubility product",
"titration",
"stoichiometry"
],
"difficulty": "hard",
"language": "en",
"summary": "Find molarity X of Pb(NOβ)β in titration with AgβCrOβ solution."
} |
sha256:280747dd4cedc7ee5c5ae46377c8e9fe | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"de Broglie wavelength",
"electron physics",
"wave-particle duality"
],
"difficulty": "medium",
"language": "en",
"summary": "Calculate electron de Broglie wavelength and distinguish from photons."
} |
sha256:a4d0b223ea3846063ee5f4281eee2af2 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"organic chemistry",
"halogenation of alkanes",
"reaction kinetics"
],
"difficulty": "medium",
"language": "en",
"summary": "Predict the outcome of bromine and cyclohexane reaction under light"
} |
sha256:f11e1dd7d0d2be81211cbae7e7135e51 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "science", "topics": ["fluid mechanics", "hydrostatics", "buoyancy"], "difficulty": "hard", "language": "en", "summary": "Estimate water level rise between two anchored tugboats pulling against each other in the Suez Canal."} |
sha256:f196cc45e7419fa5ab90eea6c4f08d99 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"organic chemistry",
"carbonyl compounds",
"hydration reactions"
],
"difficulty": "medium",
"language": "en",
"summary": "Explains why chloral forms hydrate in stable form."
} |
sha256:69262d8d76dd7f15e558091fa4997d37 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"electrostatics",
"inverse-square law",
"shell theorem"
],
"difficulty": "hard",
"language": "en",
"summary": "Prove uniqueness of $ u(r) = k/r $ in spherical charge integral equation."
} |
sha256:3ddcab054d7f5ebbc8be2599ae9b5656 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"inorganic chemistry",
"coordination compounds",
"outer orbital complex"
],
"difficulty": "medium",
"language": "en",
"summary": "Identify the outer orbital complex among given coordination compounds."
} |
sha256:fed721298d369cf2b7a0063058055743 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"inorganic chemistry",
"phosphorus chemistry",
"molecular structure"
],
"difficulty": "medium",
"language": "en",
"summary": "Identify correct properties of white phosphorus (P4) molecule."
} |
sha256:76f888a9956cd9adc05ed09fff418017 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"retrosynthetic analysis",
"organic synthesis",
"cyanohydrin formation"
],
"difficulty": "medium",
"language": "en",
"summary": "Synthesize a cyanohydrin from an alkene via alcohol oxidation and cyanide addition."
} |
sha256:f6e85a1831ee27e70695cb669211f0d3 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"organic chemistry",
"carboxylic acid reactions",
"bromination",
"peroxide effect",
"mechanism analysis"
],
"difficulty": "hard",
"language": "en",
"summary": "Deduce structures and mechanisms for bromination and base treatment of a carboxylic acid."
... |
sha256:b60ed57d53e92f2e9b8540c1011e40d3 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"electromagnetic energy density",
"Poynting theorem",
"Maxwell's equations"
],
"difficulty": "hard",
"language": "en",
"summary": "Derivation of electromagnetic energy density from first principles."
} |
sha256:d3a450402812efaf5337a14896abe6a0 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "science", "topics": ["law of multiple proportions", "chemical composition", "percent composition"], "difficulty": "medium", "language": "en", "summary": "Verify if two compounds follow the law of multiple proportions."} |
sha256:5468725b9b47250ea3533269b8613de3 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "chemistry",
"topics": [
"redox reactions",
"ionic equations",
"balancing chemical equations"
],
"difficulty": "medium",
"language": "en",
"summary": "Balance ionic redox equations for given chemical reactions."
} |
sha256:e28f98ba1f5b3bc8be69ff891a93a6ce | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "math", "topics": ["exponential equations", "arrhenius equation", "logarithmic manipulation"], "difficulty": "medium", "language": "en", "summary": "Solve for temperature T using Arrhenius equation and logarithms."} |
sha256:9c00c3d690cc163c4cfb1eca086e9134 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {"domain": "chemistry", "topics": ["organic synthesis", "reduction reactions", "sodium borohydride"], "difficulty": "medium", "language": "en", "summary": "Predict the product of ketone reduction with NaBH4."} |
sha256:3c439066f5c2c2ce7e240992fd37e9f1 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"boiling point elevation",
"colligative properties",
"solute-solvent interactions"
],
"difficulty": "medium",
"language": "en",
"summary": "Calculate boiling point elevation of bromine with added sulphur."
} |
sha256:96e0420a9e8fb87dc7557be57c35ff18 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"thermodynamics",
"adiabatic processes",
"ideal gas law",
"first law of thermodynamics"
],
"difficulty": "hard",
"language": "en",
"summary": "Verify the correctness of a thermodynamic approach to work done in an insulated gas container with heat-conducting... |
sha256:b6b95f48e19baa255cc95fb66858fe2d | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"buoyancy",
"Archimedes' principle",
"floating objects"
],
"difficulty": "medium",
"language": "en",
"summary": "Find masses of two connected floating balls using buoyancy and volume."
} |
sha256:c75a2816517c44396021058d81abe47c | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"special relativity",
"time dilation",
"invariance of the speed of light"
],
"difficulty": "hard",
"language": "en",
"summary": "Explains time dilation and simultaneity in special relativity via a thought experiment."
} |
sha256:165eaef8ec8806a50e9b4377cade88dd | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": ["density", "volumetric analysis", "buoyancy correction"],
"difficulty": "hard",
"language": "en",
"summary": "Calculate the density of a solid using volumetric flask measurements."
} |
sha256:08c03e179b18806c30f7dc906d73dd68 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"hydrogen bonding",
"molecular polarity",
"boiling point trends"
],
"difficulty": "medium",
"language": "en",
"summary": "Compare hydrogen bonding capabilities of water and alcohol molecules."
} |
sha256:d4978ccca64a73b93c84e05df71b15b5 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"human biochemistry",
"acid-base balance",
"respiratory physiology"
],
"difficulty": "medium",
"language": "en",
"summary": "Effect of sudden CO2 increase on blood pH."
} |
sha256:645c6880e6b8dc85573c8b6d3e886007 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "math",
"topics": ["linear algebra", "eigenvalues", "Pauli matrices"],
"difficulty": "medium",
"language": "en",
"summary": "Error in reconstructing Pauli Y matrix from eigenvectors and orthogonality check."
} |
sha256:36b340fdb2d1fc85b2642f34e0c185ec | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"chemical reactions",
"law of conservation of mass",
"stoichiometry"
],
"difficulty": "medium",
"language": "en",
"summary": "Verify mass conservation in a chemical reaction and calculate CO2 released."
} |
sha256:2871177c810b5bd854367140f029bb4d | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"organic chemistry",
"nucleic acid base pairing",
"hydrogen bonding"
],
"difficulty": "medium",
"language": "en",
"summary": "Show keto form of uracil pairing with adenine via H-bonds."
} |
sha256:0c27332f8ca97c8b7fd6cee7a9a71325 | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "science",
"topics": [
"thermodynamics",
"ideal gas law",
"pressure equilibrium",
"heat transfer via mass flow"
],
"difficulty": "hard",
"language": "en",
"summary": "Find volume ratio V2/V1 given pressure and temperature changes in connected gas boxes."
} |
sha256:5981a6fb39366583bf88a62190856a3b | [
{
"role": "system",
"content": "You are a prompt classifier. Classify the given user prompt and return a JSON object with these fields:\n\n\"domain\": classify into exactly one of:\n \"math\" β calculations, proofs, algebra, geometry, statistics, discrete math\n \"code\" β programming, algor... | {
"domain": "physics",
"topics": [
"relativistic mechanics",
"Lorentz force",
"conservation laws",
"cylindrical symmetry",
"Noether's theorem"
],
"difficulty": "hard",
"language": "en",
"summary": "Conservation laws under cylindrical symmetry in relativistic particle dynamics"
} |