text
string
source
dict
Da
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Ho
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im
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qu
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el
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#
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Re
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ga
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co
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ne
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c+
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ff
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c+
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co
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ro
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py
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pl
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qu
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No
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Or
{ "domain": "mathhelpforum.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9822877012965886, "lm_q1q2_score": 0.8730168286490028, "lm_q2_score": 0.888758789809389, "openwebmath_perplexity": 288.2803325455937, "openwebmath_score": 0.9031927585601807, "tags": null, "url": "http://mathhelpforum.com/calculus/146987-tricky-double-integral-polar-coordinates.html" }
ba
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ja
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ro
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c#
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#
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9822877044076956, "lm_q1q2_score": 0.8289477888339548, "lm_q2_score": 0.8438951084436077, "openwebmath_perplexity": 246.82816284575546, "openwebmath_score": 0.7193014621734619, "tags": null, "url": "https://math.stackexchange.com/questions/2722673/counting-how-many-ways-30-green-balls" }
el
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re
{ "domain": "chemistry.stackexchange", "id": 6298, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "reaction-mechanism, catalysis", "url": null }
an
{ "domain": "physics.stackexchange", "id": 25422, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "angular-momentum, rotational-dynamics, torque", "url": null }
al
{ "domain": "cs.stackexchange", "id": 19631, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "algorithms, graphs, traveling-salesman, hamiltonian-circuit", "url": null }
c#
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2.
{ "domain": "jiskha.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9626731126558704, "lm_q1q2_score": 0.812395128910723, "lm_q2_score": 0.8438951064805861, "openwebmath_perplexity": 1697.1196801994338, "openwebmath_score": 0.8104286789894104, "tags": null, "url": "https://www.jiskha.com/questions/55003/every-fraction-has-a-decimal-equivalent-that-either-terminates-for-example-1-4-0-25-or" }
ev
{ "domain": "biology.stackexchange", "id": 376, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "evolution, reproduction, psychology", "url": null }
ph
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ca
{ "domain": "co.uk", "id": null, "lm_label": "1. Yes\n2. Yes", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9783846716491915, "lm_q1q2_score": 0.8276571175602077, "lm_q2_score": 0.8459424411924673, "openwebmath_perplexity": 726.9479601879873, "openwebmath_score": 0.4739937484264374, "tags": null, "url": "http://ruthsutton.co.uk/kch34en/linear-parent-function-slope-28edd5" }
am
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ki
{ "domain": "physics.stackexchange", "id": 44020, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "kinematics, orbital-motion", "url": null }
$$
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9890130563978902, "lm_q1q2_score": 0.8774569298320326, "lm_q2_score": 0.8872045966995027, "openwebmath_perplexity": 465.86158679560197, "openwebmath_score": 0.8282362222671509, "tags": null, "url": "https://math.stackexchange.com/questions/2087099/is-the-binomial-theorem-actually-more-efficient-than-just-distributing/2087103" }
st
{ "domain": "astronomy.stackexchange", "id": 5939, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "star, positional-astronomy, astropy, skyfield", "url": null }
th
{ "domain": "physics.stackexchange", "id": 82651, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "thermodynamics, energy, applied-physics", "url": null }
.s
{ "domain": "wolfpacknyc.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9572778000158575, "lm_q1q2_score": 0.8383714508542798, "lm_q2_score": 0.8757869981319863, "openwebmath_perplexity": 11396.313708180473, "openwebmath_score": 0.7313063144683838, "tags": null, "url": "http://www.wolfpacknyc.com/review/738508-inverse-laplace-transform" }
el
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an
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c+
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rc
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Dr
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9648551525886193, "lm_q1q2_score": 0.8220110489280179, "lm_q2_score": 0.8519528000888387, "openwebmath_perplexity": 79.26249002301412, "openwebmath_score": 0.9700756669044495, "tags": null, "url": "https://math.stackexchange.com/questions/775045/how-do-i-show-that-all-continuous-periodic-functions-are-bounded-and-uniform-con/2178712" }
ja
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fu
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bl
{ "domain": "physics.stackexchange", "id": 16326, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "black-holes, black-hole-firewall", "url": null }
de
{ "domain": "portcetate.ro", "id": null, "lm_label": "1. YES\n2. YES\n\n", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9736446471538803, "lm_q1q2_score": 0.8005200501228974, "lm_q2_score": 0.822189134878876, "openwebmath_perplexity": 1081.2348596365412, "openwebmath_score": 0.7011394500732422, "tags": null, "url": "http://portcetate.ro/grille-or-lktg/mahalanobis-distance-classifier-c2ddb4" }
c#
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Th
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9881308793031895, "lm_q1q2_score": 0.8234337651106443, "lm_q2_score": 0.8333245953120234, "openwebmath_perplexity": 175.29489314467793, "openwebmath_score": 0.8440853357315063, "tags": null, "url": "https://math.stackexchange.com/questions/2666099/what-is-the-difference-between-cardinality-of-mathbb-z-and-of-mathbb-q/2666116" }
qu
{ "domain": "physics.stackexchange", "id": 88013, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "quantum-mechanics, hilbert-space, operators, mathematical-physics, observables", "url": null }
ho
{ "domain": "physics.stackexchange", "id": 11530, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "homework-and-exercises, kinematics, units, differentiation", "url": null }
It
{ "domain": "stackexchange.com", "id": null, "lm_label": "1. YES\n2. YES", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9566341987633822, "lm_q1q2_score": 0.8111949534374981, "lm_q2_score": 0.8479677545357569, "openwebmath_perplexity": 347.885188843741, "openwebmath_score": 0.4533807337284088, "tags": null, "url": "https://math.stackexchange.com/questions/2139987/quick-question-regarding-int-frac-cos-x-sin-x-sin-2x-dx" }
ph
{ "domain": "codereview.stackexchange", "id": 35128, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "php, unit-testing", "url": null }
al
{ "domain": "codereview.stackexchange", "id": 31946, "lm_label": null, "lm_name": null, "lm_q1_score": null, "lm_q1q2_score": null, "lm_q2_score": null, "openwebmath_perplexity": null, "openwebmath_score": null, "tags": "algorithm, matrix, r", "url": null }
#
{ "domain": "gmatclub.com", "id": null, "lm_label": "1. Yes\n2. Yes", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9546474168650673, "lm_q1q2_score": 0.834435579387894, "lm_q2_score": 0.8740772400852111, "openwebmath_perplexity": 3363.1534959355936, "openwebmath_score": 0.4148408770561218, "tags": null, "url": "https://gmatclub.com/forum/when-there-are-consecutive-integers-and-if-their-range-is-equal-to-the-214078.html" }
ap
{ "domain": "ilovebet.it", "id": null, "lm_label": "1. YES\n2. YES\n\n", "lm_name": "Qwen/Qwen-72B", "lm_q1_score": 0.9835969636371975, "lm_q1q2_score": 0.8041637701453398, "lm_q2_score": 0.8175744739711883, "openwebmath_perplexity": 746.7859159697898, "openwebmath_score": 0.813318133354187, "tags": null, "url": "http://koyd.ilovebet.it/1d-heat-equation-in-spherical-coordinates.html" }
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$$
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Th
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