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sha256:f2bc216c51c2806594fb964815e97867
[ { "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": ["arithmetic sequences", "algebraic equations"], "difficulty": "medium", "language": "en", "summary": "Find y in an arithmetic sequence with given terms." }
sha256:380157067f6d94f803f4362a019d95df
[ { "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": ["inverse functions", "algebra"], "difficulty": "medium", "language": "en", "summary": "Find the inverse function composition at 14."}
sha256:65220b2f00e39b951d11edf406291d5e
[ { "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": ["algebra", "quadratic equations", "area of rectangle"], "difficulty": "medium", "language": "en", "summary": "Solve for m in a rectangle area equation."}
sha256:3efc350cb76cdef3951bdc1ffcba9ec5
[ { "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": ["logarithmic functions", "domain and range", "function parity"], "difficulty": "medium", "language": "en", "summary": "Find domain, parity, and inequality solution for log difference function."}
sha256:e9a12e5320e06a5934caf80cd9e88cfa
[ { "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": [ "cube roots", "algebraic equations", "solving equations" ], "difficulty": "easy", "language": "en", "summary": "Solve the cube root equation for x." }
sha256:defa46d484c21835ea3f75d404fa2a5a
[ { "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": [ "trigonometry", "triangle geometry", "area of triangle", "law of cosines" ], "difficulty": "hard", "language": "en", "summary": "Find the maximum area of triangle ABC given trigonometric and side conditions." }
sha256:a51dd95769dd25057dd3ace980a3c671
[ { "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": ["arithmetic", "weighted averages", "summation"], "difficulty": "medium", "language": "en", "summary": "Calculate total frames in a 25-page comic book with varying frame counts." }
sha256:20b7da48603b2b62e3a2a97b28bc3b73
[ { "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": ["circle geometry", "arc length", "area of a circle"], "difficulty": "medium", "language": "en", "summary": "Find the ratio of areas of two circles given equal arc lengths." }
sha256:21c08e704199c3f857c9f83d5cba65ad
[ { "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": ["geometry", "vectors", "optimization"], "difficulty": "hard", "language": "en", "summary": "Find minimum magnitude of vector sum OP + OQ."}
sha256:469985d762c49a765a4b72795b6ddd11
[ { "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": ["trigonometry", "angle identities"], "difficulty": "easy", "language": "en", "summary": "Compute the cosine of 225 degrees."}
sha256:5b0148024b61ae2b2f3770af46827fed
[ { "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": ["number theory", "greatest common divisor", "polynomial division"], "difficulty": "hard", "language": "en", "summary": "Find GCD of bΒ² + 13b + 40 and b + 5 when b is multiple of 2373."}
sha256:d6e54a2f70b442e9e6b761fb81aefc81
[ { "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", "symmetric expressions", "AM-GM inequality" ], "difficulty": "hard", "language": "en", "summary": "Prove a symmetric inequality with equality at a=b=c=1." }
sha256:dbc9a8193fbf3f694ea4d7b2eac8781c
[ { "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": [ "number theory", "digit patterns", "combinatorics", "odd integers" ], "difficulty": "hard", "language": "en", "summary": "Find how many sets of five odd integers yield product AB0AB." }
sha256:ce8381f072c365ae344f9afec7383932
[ { "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": [ "cost calculation", "proportional reasoning", "percentage", "algebraic word problem" ], "difficulty": "medium", "language": "en", "summary": "Calculate the partner's cost percentage for a theater project." }
sha256:b99fda61d8604367f871e4dbd9941597
[ { "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": [ "polynomial roots", "symmetric functions", "inequalities", "optimization" ], "difficulty": "hard", "language": "en", "summary": "Maximize a symmetric expression in polynomial coefficients given root constraints." }
sha256:2187a78ed4ca5919e0ae1a3d0d0f1d0c
[ { "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": ["polynomial factorization", "algebra"], "difficulty": "easy", "language": "en", "summary": "Factor the cubic polynomial xΒ³ - 6xΒ² + 9x."}
sha256:27d47439e72a54a7c75acd76e68a6f46
[ { "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": [ "geometry", "triangle properties", "incenter", "circle theorems" ], "difficulty": "hard", "language": "en", "summary": "Prove a geometric relation involving incenter and midpoint in an isosceles triangle." }
sha256:5eba840f8dc958755849967c5f4ec6fc
[ { "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": [ "polynomials", "algebra", "degree of a polynomial" ], "difficulty": "medium", "language": "en", "summary": "Find the degree of the product of three algebraic expressions." }
sha256:d5c78689fce8a00e4381bc7db0165579
[ { "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": ["algebra", "systems of equations", "linear equations"], "difficulty": "medium", "language": "en", "summary": "Find the value of b given sum and transformation conditions."}
sha256:9efc616bae2eb8d6c63ce8a5dd1e3e8b
[ { "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": ["percent concentration", "mixture problems", "algebraic equations"], "difficulty": "medium", "language": "en", "summary": "Find alcohol percentage in a mixture using concentration equations." }
sha256:fb31574cf6bc72dcfd21215777558588
[ { "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": [ "sequences", "recurrence relations", "sums of series" ], "difficulty": "hard", "language": "en", "summary": "Find the sum of ratios of consecutive terms in a sequence defined by a sum formula." }
sha256:3869a9501e600a310ab8536c3bf4168b
[ { "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": ["polynomials", "real roots", "quadratic equations"], "difficulty": "hard", "language": "en", "summary": "Find k so all roots of the quartic are real."}
sha256:ce529035fe5c05ee92abf4be831b53e3
[ { "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 equations", "word problems", "systems of equations"], "difficulty": "medium", "language": "en", "summary": "Find the cost of souvenirs given total count and cost."}
sha256:eb3dbd0570e985d4eb2cb2747baf33b9
[ { "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": ["exponents", "inequalities", "logarithms"], "difficulty": "medium", "language": "en", "summary": "Compare sizes of large exponential expressions."}
sha256:599b0f4ca02b5c9dc0ffc906847859bf
[ { "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": [ "quadratic equations", "roots analysis", "inequalities" ], "difficulty": "hard", "language": "en", "summary": "Determine root nature of quadratic when a < -1." }
sha256:fa7b49c94277b45581778d38ba24b591
[ { "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": ["3D geometry", "cube", "surface area"], "difficulty": "medium", "language": "en", "summary": "Find the surface area of a cube given three vertices."}
sha256:e23774518a4d7936b6bf649b592f4fd7
[ { "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": ["geometry", "midpoints", "vector geometry"], "difficulty": "hard", "language": "en", "summary": "Find distance between midpoints of QU and RV given midpoint distances." }
sha256:87ac5520e30351db6814617edd7a18f7
[ { "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", "functions", "inequalities"], "difficulty": "hard", "language": "en", "summary": "Analyze properties of f(x) = x ln x and compare values."}
sha256:dabf2523fc7550eabfb6b8f4cf1bf6e3
[ { "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", "derivatives", "trigonometric functions"], "difficulty": "medium", "language": "en", "summary": "Find the second derivative of f(x) = 2a - sin x." }
sha256:262710677ee62742967c6fc1de9d54a9
[ { "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": ["multiplication", "division", "word problems"], "difficulty": "easy", "language": "en", "summary": "Calculate bread packs needed for 8 sandwiches."}
sha256:91af5dea8b24c6938646cafb4e2ca915
[ { "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": ["modular arithmetic", "number theory", "counting"], "difficulty": "medium", "language": "en", "summary": "Count two-digit numbers congruent to 1 mod 5."}
sha256:a71d630fe00c9d907db9843ecf150dd9
[ { "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": [ "logic", "calculus", "algebra", "geometry" ], "difficulty": "hard", "language": "en", "summary": "Identify correct mathematical propositions among four given statements." }
sha256:77954a76ed33a8699c5d403b871c2a20
[ { "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", "molecular weight", "bleach composition"], "difficulty": "medium", "language": "en", "summary": "Find the molecular weight of bleach given a substance's molecular weight."}
sha256:96b1378203e11e6ee384fda744577f55
[ { "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": ["probability", "binomial distribution"], "difficulty": "medium", "language": "en", "summary": "Probability of exactly 9 heads in 12 fair coin flips"}
sha256:bfb0fa2a68db32cf687b99d0cd722413
[ { "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": ["number theory", "factors", "prime factorization"], "difficulty": "medium", "language": "en", "summary": "Find the number of distinct positive factors of 1320."}
sha256:7223fcc26533d9c9ce53adb6405766e3
[ { "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": ["algebra", "sequences", "proofs"], "difficulty": "medium", "language": "en", "summary": "Find pattern in equations and prove nth case."}
sha256:cf7e5cabc548128dbe8d68f5619e35cc
[ { "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": ["complex numbers", "absolute value equations"], "difficulty": "medium", "language": "en", "summary": "Find the product of solutions to |z| = 3(|z| - 2)."}
sha256:b8cccb9222814a546826fcd0484da70a
[ { "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": ["combinatorics", "divisibility", "number theory"], "difficulty": "hard", "language": "en", "summary": "Count triples (x,y,z) with product divisible by 10."}
sha256:94b33b43f732addc65d12527a4a0f98f
[ { "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": [ "geometry", "area dissection", "similar triangles", "rectangle ratio" ], "difficulty": "hard", "language": "en", "summary": "Find the height-to-base ratio of a rectangle formed by rearranging dissected square pieces." }
sha256:30ee66502fdd7c88e13f1e6fcdc033cc
[ { "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": ["algebra", "word problems", "equations"], "difficulty": "medium", "language": "en", "summary": "Find Phillip's initial marbles after redistribution to 15 each." }
sha256:58aef004451ec16cf9357336dba936c4
[ { "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", "vectors", "parametric equations"], "difficulty": "medium", "language": "en", "summary": "Find b such that direction vector is (b, 1) for line through two points."}
sha256:e3c6a633d6b5e4d29fc0c2841c028ae3
[ { "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": [ "number theory", "sequences", "gcd", "diophantine equations" ], "difficulty": "hard", "language": "en", "summary": "Construct a sequence where gcds and terms cover all positive integers exactly once." }
sha256:1e9ad82a88ea3a1d89b7ce635abb378d
[ { "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": ["algebra", "word problems", "cost comparison"], "difficulty": "medium", "language": "en", "summary": "Find the weekly motel charge given monthly savings." }
sha256:28b3a4083ab6c556548a6040ae0ae618
[ { "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": ["geometric sequences", "series summation", "exponential patterns"], "difficulty": "hard", "language": "en", "summary": "Find the sum of the first 9000 terms of a geometric sequence given two partial sums." }
sha256:73d3bfa257ad23f5875eca1de96e22e7
[ { "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": ["average", "algebra", "equations"], "difficulty": "medium", "language": "en", "summary": "Calculate David's Chemistry marks using average formula." }
sha256:8dc60e94ca546806556bd0b1f32a6c87
[ { "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": ["multiples", "division", "number theory"], "difficulty": "easy", "language": "en", "summary": "Find the smallest multiple of 25 over 500."}
sha256:7ca631f40b0e96225cf54c450f04b8a8
[ { "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": ["regular polygons", "interior angles"], "difficulty": "medium", "language": "en", "summary": "Find number of sides given interior angle of regular polygon."}
sha256:67bd1beec5520a35a76b76e9f478d3e5
[ { "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": ["factorials", "exponents", "divisibility"], "difficulty": "medium", "language": "en", "summary": "Find the highest power of 3 that divides 35!" }
sha256:fd9cdaf2c52827df7a853b5c53e85038
[ { "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", "optimization", "inequalities"], "difficulty": "hard", "language": "en", "summary": "Find a for max value, then b for inequality holdover interval."}
sha256:0d857413456d417f824bbb18a7282bfb
[ { "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": ["absolute value functions", "recursive sequences", "piecewise functions"], "difficulty": "hard", "language": "en", "summary": "Find number of x where g_150(x) = 0."}
sha256:44669a51e79681380ceb1d33edfff0ff
[ { "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 geometry", "parallel vectors", "perpendicular vectors", "dot product" ], "difficulty": "medium", "language": "en", "summary": "Find vector c and cosine of angle between a and b using vector properties." }
sha256:538c2c038a417d5cd2631a16027832e3
[ { "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": ["geometry", "probability", "triangle"], "difficulty": "hard", "language": "en", "summary": "Probability Q is closer to F than to D or E in triangle DEF." }
sha256:69f1a3ece4818a4b8159f3de717777a6
[ { "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": [ "number theory", "divisibility", "proofs" ], "difficulty": "hard", "language": "en", "summary": "Prove existence of n integers where (aβˆ’b)Β² divides ab for all distinct pairs." }
sha256:efc202e3c4dfb96f2f3c3564993d8a4d
[ { "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", "absolute value", "quadratic inequalities", "logical conditions" ], "difficulty": "hard", "language": "en", "summary": "Find range of a such that p is necessary but not sufficient for q." }
sha256:a96852de4d96340b17323c08c65d6e1b
[ { "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": ["infinite series", "partial fractions", "telescoping series"], "difficulty": "medium", "language": "en", "summary": "Evaluate the infinite sum using partial fractions."}
sha256:255bb83cb8c2b2c509260da7b48b8b46
[ { "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": ["quadratic inequalities", "algebra"], "difficulty": "medium", "language": "en", "summary": "Solve the quadratic inequality -8xΒ² + 6x - 1 < 0."}
sha256:e59a5429abeda987c135e767621fe007
[ { "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": ["combinatorics", "graph theory", "cube geometry"], "difficulty": "hard", "language": "en", "summary": "Find minimum black edges on cube with constraint on faces."}
sha256:8f7a0b8f2a609ec4ffac2bbc6eddf82b
[ { "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": ["systems of equations", "linear equations"], "difficulty": "medium", "language": "en", "summary": "Solve for x in a system of two linear equations."}
sha256:1987d0c97eea22cd9be771e7804c1c92
[ { "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": [ "quadratic equations", "symmetric sums", "polynomial roots" ], "difficulty": "hard", "language": "en", "summary": "Find minimum of reciprocal fifth powers of roots with symmetric sum constraints." }
sha256:b43c99910a1d56fab74e468725e3b28a
[ { "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": [ "number theory", "divisibility", "puzzle logic" ], "difficulty": "hard", "language": "en", "summary": "Determine the cup for 5.5 given sum divisibility and placements." }
sha256:06ef2e17cddacb1712a766ea481d30dc
[ { "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": [ "distance calculation", "proportional reasoning", "addition of segments" ], "difficulty": "medium", "language": "en", "summary": "Calculate Jason's total commute distance with a detour." }
sha256:3969b84ae651b8b6378ea0cea22af203
[ { "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": ["functions", "inequalities", "polynomials"], "difficulty": "hard", "language": "en", "summary": "Find range of a such that f(a) + f(a-2) > 6"}
sha256:b4a5346ab03cceffab064cfe60ada19b
[ { "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": [ "prime numbers", "number theory", "divisibility", "modular arithmetic" ], "difficulty": "hard", "language": "en", "summary": "Find primes p where remainders upon division by smaller primes are square-free." }
sha256:6efe96b8fd55794eb16852d3d955c56d
[ { "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": ["word problems", "algebra", "addition and subtraction"], "difficulty": "medium", "language": "en", "summary": "Find how many cards Dan has given Sally's cards and difference." }
sha256:4981cd7b08adf6fdff14be44c31819cb
[ { "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": ["set theory", "functions", "quadratic functions"], "difficulty": "hard", "language": "en", "summary": "Identify the correct mathematical statement among four options."}
sha256:9e43185d5cb5da2c3c7fb7780bc0dce7
[ { "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": ["factorials", "exponents", "units digit"], "difficulty": "hard", "language": "en", "summary": "Find the exponent such that the units digit condition holds." }
sha256:1c524c244212b44e6ee0725a80138c61
[ { "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": ["algebra", "fractions", "expression evaluation"], "difficulty": "easy", "language": "en", "summary": "Evaluate J(3, 18, 27) using given formula."}
sha256:b931b281850996f78082bcb172ef4cbd
[ { "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": [ "sequences", "series", "algebra" ], "difficulty": "medium", "language": "en", "summary": "Find the difference of squares of terms in a sequence given the sum of first n terms." }
sha256:d70f3cdfeae18c746ae0f6c2305df774
[ { "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": ["triangle geometry", "area of triangle", "law of cosines"], "difficulty": "medium", "language": "en", "summary": "Find side length |AB| given two sides and area of acute triangle."}
sha256:4ec15e679a7d225c1c74dceeb33504f3
[ { "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": [ "complex numbers", "algebra", "imaginary unit" ], "difficulty": "medium", "language": "en", "summary": "Solve for complex number z given equation involving i." }
sha256:3197405ac15c04734a9efab3468ac88f
[ { "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": ["algebra", "percentages", "equations"], "difficulty": "medium", "language": "en", "summary": "Find the number of students given life vest distribution and need." }
sha256:74de50e6c9b3a6eda787e1d30813f10c
[ { "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": [ "trigonometry", "law of cosines", "law of sines" ], "difficulty": "medium", "language": "en", "summary": "Find angles B, C and side a in triangle with given sides and angle." }
sha256:8647e7593926da828f051f73d0c4742f
[ { "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": [ "number theory", "combinatorics", "geometry", "regular polygons" ], "difficulty": "hard", "language": "en", "summary": "Count non-similar 120-pointed stars with coprime step size not divisible by 3." }
sha256:87376e4dc33798fa25ae956463cb58dd
[ { "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": ["prime factorization", "number theory", "digit sum"], "difficulty": "medium", "language": "en", "summary": "Find the sum of digits of the largest prime factor of 16,385."}
sha256:fbd7b632b8b84cb3559f86fae1414b04
[ { "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": ["circle geometry", "tangent lines", "coordinate geometry"], "difficulty": "medium", "language": "en", "summary": "Find a when circle is tangent to y-axis."}
sha256:c7162a397924fc68b23070d653831755
[ { "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", "tangent line", "perpendicular lines"], "difficulty": "medium", "language": "en", "summary": "Find m such that tangent to y=e^x at x=1 is perpendicular to 2x+my+1=0."}
sha256:3b55a55773886fe291ae360ecd0e77cc
[ { "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": ["trigonometric functions", "function range", "phase shift"], "difficulty": "medium", "language": "en", "summary": "Find the range of a trigonometric function involving sine and cosine." }
sha256:4f2d864259107b285fca6cf38ed130be
[ { "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": ["functional equations", "real analysis", "algebra"], "difficulty": "hard", "language": "en", "summary": "Find all real functions satisfying a given functional equation."}
sha256:a026809d267849d93f3f71db8401d687
[ { "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": ["ellipse", "hyperbola", "eccentricity"], "difficulty": "hard", "language": "en", "summary": "Find the eccentricity of an ellipse sharing a focus with a hyperbola." }
sha256:b62ca92a06f976f23c5a3514c33e9f6d
[ { "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": ["word problems", "linear equations", "division"], "difficulty": "medium", "language": "en", "summary": "Find how many postcards Tina makes per day given her earnings." }
sha256:8cf1e03d3ef86f148404678c4c79319c
[ { "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": [ "word problems", "division", "multiplication" ], "difficulty": "easy", "language": "en", "summary": "Calculate the number of chickens based on daily egg production." }
sha256:7fd3b073e60b6e227cf3b62ba2c7aad1
[ { "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": [ "sequences", "rational numbers", "pattern recognition" ], "difficulty": "hard", "language": "en", "summary": "Find the sum of the 99th and 100th terms in a rational sequence pattern." }
sha256:bcbeba8851efce5e127dec1a6223e547
[ { "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": ["averages", "arithmetic mean", "word problems"], "difficulty": "medium", "language": "en", "summary": "Find average children in families with children given total average and childless families." }
sha256:56d72018580d2c7e19500af46ddc5c1f
[ { "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": ["number theory", "combinatorics", "divisibility"], "difficulty": "hard", "language": "en", "summary": "Find integers b and set A satisfying divisibility and non-divisibility conditions on products." }
sha256:10156a4021c3d35610048718bc9efe3a
[ { "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": ["geometry", "perimeter", "circle arcs"], "difficulty": "hard", "language": "en", "summary": "Find the perimeter of a rectangle with semicircular arcs on divided sides." }
sha256:eba04785f72a0943525968ed6fe5e327
[ { "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": [ "number theory", "divisibility", "digit sum" ], "difficulty": "hard", "language": "en", "summary": "Find fraction of clever integers divisible by 11." }
sha256:4769d791fd55c9d85a855a455c80bafa
[ { "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": ["trigonometry", "sine", "cosine"], "difficulty": "medium", "language": "en", "summary": "Find smallest positive w given sin y = 0 and cos(y+w) = -1/2." }
sha256:9c2250e109a9e551458555d40c5aad5b
[ { "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": ["reciprocals", "real numbers"], "difficulty": "easy", "language": "en", "summary": "Find the reciprocal of -2."}
sha256:a60562f52a03f2fbde3ffbe6e00f0e45
[ { "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": [ "combinatorics", "number theory", "digit properties" ], "difficulty": "medium", "language": "en", "summary": "Count four-digit numbers where second digit is average of first and third." }
sha256:d29cf1f711f5afa27a56ca6b14383eac
[ { "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": ["complex numbers", "imaginary numbers", "polynomial equations"], "difficulty": "hard", "language": "en", "summary": "Find real x such that a product of complex numbers is pure imaginary." }
sha256:5c9edf0e74d250e71c3b679f501ff2a2
[ { "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": [ "geometry", "reflection", "area of union" ], "difficulty": "medium", "language": "en", "summary": "Find the area of the union of a triangle and its reflection over y=2." }
sha256:ee19ba7afcabc707e4f551fd3578c833
[ { "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": ["combinatorics", "puzzle", "number placement"], "difficulty": "hard", "language": "en", "summary": "Find and analyze labelings of a 9-field grid with numbers 1–9 satisfying sum constraints."}
sha256:40485836edd30a52aeb55dc0a1fc1108
[ { "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": [ "number theory", "modular arithmetic", "combinatorics" ], "difficulty": "hard", "language": "en", "summary": "Find maximum subset with no two elements summing to multiple of 11." }
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