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MMLU-Pro
The symmetric group $S_n$ has $ \factorial{n}$ elements, hence it is not true that $S_{10}$ has 10 elements. Find the characteristic of the ring 2Z.
math
cot_lib-abstract_algebra
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MMLU-Pro
MMLU-Pro
Let V be the set of all real polynomials p(x). Let transformations T, S be defined on V by T:p(x) -> xp(x) and S:p(x) -> p'(x) = d/dx p(x), and interpret (ST)(p(x)) as S(T(p(x))). Which of the following is true?
math
cot_lib-college_mathematics
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0.09158641844987869, -0.05720273777842522, -0.030787581577897072, -0.036554113030433655, -4.207601378425352e-8, -0.012374057434499264, 0.0035686297342181206, -0.0032762191258370876, 0.03559776768088341, 0.002148109022527933, -0.015090101398527622, 0.013725223019719124, -0.002397236181423068, -0.0392877571284771, 0.057214006781578064, 0.008393703028559685, -0.032557375729084015, 0.03272714838385582, -0.06965634226799011, 0.0676063820719719, 0.039653848856687546, -0.05841574817895889, 0.03228193148970604, -0.051151830703020096, -0.05480049178004265, -0.04496690630912781, 0.0070223514921963215, -0.10110623389482498, 0.040759626775979996, 0.02667226269841194, -0.04813142865896225, 0.01134971808642149, -0.05772814527153969, 0.016878480091691017, 0.11169929802417755, 0.04321699216961861, 0.027841711416840553, -0.010764699429273605, 0.04651753231883049, 0.06572705507278442, -0.11784334480762482, 0.03792648762464523, 0.011470198631286621, 0.049596499651670456, 0.11277591437101364, -0.02548346482217312, -0.0812554880976677, 0.04772873967885971, 0.07124907523393631, -0.054889414459466934, 0.026282116770744324, 0.0020610655192285776, 0.002417050302028656, -0.036767471581697464, 0.024740858003497124, 0.04711536318063736, 0.09587707370519638, -0.09902776032686234, -0.052855972200632095, -0.04029721021652222, 0.07260952889919281, 0.0462428517639637, -0.06428766995668411, -0.03904923051595688, -0.044769007712602615, -0.03605623170733452, 0.05540822073817253, 0.10235097259283066, 0.01608448103070259 ]
MMLU-Pro
MMLU-Pro
Let A be the set of all ordered pairs of integers (m, n) such that 7m + 12n = 22. What is the greatest negative number in the set B = {m + n : (m, n) \in A}?
math
cot_lib-college_mathematics
[ 0.03222723677754402, 0.12538215517997742, -0.02827172353863716, -0.059775348752737045, -0.11661793291568756, 0.062228668481111526, 0.03269122168421745, 0.038601670414209366, -0.07067843526601791, 0.013220636174082756, -0.026102134957909584, 0.07896082103252411, 0.04828790947794914, -0.0030573024414479733, -0.010470302775502205, -0.01427940558642149, 0.05803590267896652, -0.0506720244884491, -0.02486385963857174, -0.040026143193244934, -0.032975733280181885, -0.08615576475858688, -0.07920487970113754, 0.010420444421470165, 0.07612594962120056, -0.0027731461450457573, 0.027533695101737976, -0.030717836692929268, 0.06290365755558014, -0.04958391562104225, -0.0468793548643589, 0.017421439290046692, 0.11475659161806107, 0.09263323992490768, -0.020784500986337662, -0.044562384486198425, 0.06265735626220703, -0.0028248783200979233, -0.022516479715704918, -0.05911853536963463, -0.08171019703149796, 0.0033003450371325016, 0.032920610159635544, -0.05619674175977707, -0.05737733840942383, 0.15411882102489471, 0.06256464868783951, 0.024334225803613663, -0.008359427563846111, 0.04250994324684143, -0.058566849678754807, 0.08397713303565979, -0.09842585772275925, 0.040091533213853836, 0.03382733836770058, 0.06643199920654297, -0.10597707331180573, -0.07699935883283615, -0.037057507783174515, -0.013734033331274986, -0.029050271958112717, 0.040408048778772354, 0.0027727249544113874, -0.03499653562903404, 0.004855695646256208, 0.005179527681320906, -0.08499042689800262, 0.034153491258621216, -0.0028896178118884563, 0.051168445497751236, 0.07734471559524536, 0.004020121414214373, 0.09282117336988449, -0.03681711107492447, -0.03802549093961716, 0.017394622787833214, -0.03798029571771622, -0.05000898241996765, -0.03630153462290764, -0.019914425909519196, 0.04015115275979042, -0.015395721420645714, -0.00906574260443449, 0.08424810320138931, 0.0874481350183487, -0.05950256437063217, -0.019184546545147896, -0.01260890532284975, 0.013902513310313225, 0.03731338307261467, 0.000018534208720666356, -0.017175491899251938, 0.06684855371713638, 0.03364330157637596, -0.04641915485262871, 0.005666033364832401, -0.04830258712172508, 0.029358670115470886, -0.043335407972335815, 0.07997990399599075, 0.03328970447182655, 0.0564231276512146, -0.043124500662088394, 0.058081645518541336, 0.028647005558013916, -0.01298158336430788, -0.00972728617489338, -0.0014004339464008808, 0.023480579257011414, -0.01422598585486412, 0.07626635581254959, -0.04045066237449646, 0.029099682345986366, -0.014012802392244339, 0.050827693194150925, -0.028875229880213737, 0.00006248311547096819, 0.0394861213862896, -0.07969808578491211, -0.018593445420265198, 0.026846308261156082, 0.051826003938913345, 0.03390432521700859, -0.0671360194683075, -0.01206105574965477, 0.049812186509370804, 0.027484843507409096, 2.265094411075029e-33, 0.0036112205125391483, -0.060094866901636124, 0.038104619830846786, -0.03451528027653694, -0.008929411880671978, 0.012875037267804146, -0.05024103447794914, -0.040776029229164124, -0.030067747458815575, -0.018598409369587898, -0.035901252180337906, -0.055593252182006836, 0.14454223215579987, 0.028335535898804665, 0.008149949833750725, -0.01723736897110939, 0.03539179265499115, -0.04852208495140076, 0.0068492884747684, -0.057674650102853775, -0.025477943941950798, -0.00835826899856329, -0.07355143874883652, -0.012302292510867119, 0.015984660014510155, -0.007961506955325603, -0.002006195019930601, 0.02547403797507286, 0.046054862439632416, -0.020464973524212837, -0.07441612333059311, 0.023479526862502098, 0.03550635650753975, 0.11842095106840134, 0.02872052602469921, -0.06621125340461731, -0.01826079562306404, 0.009649284183979034, 0.01880108378827572, -0.08132337778806686, 0.014911470003426075, -0.015679514035582542, -0.008472566492855549, -0.017052335664629936, -0.004246140830218792, 0.044233374297618866, 0.026833055540919304, 0.008598963730037212, 0.04223478585481644, 0.006245478056371212, -0.029624098911881447, -0.0325603149831295, -0.05152004957199097, 0.05629519000649452, -0.0110685545951128, 0.059776000678539276, 0.04486952722072601, 0.022911684587597847, -0.027080245316028595, 0.02684442326426506, 0.030041545629501343, -0.05739405006170273, 0.05986034870147705, -0.045090604573488235, 0.0022888295352458954, -0.027407096698880196, -0.048341695219278336, -0.03742019832134247, 0.04487902298569679, -0.01946212910115719, -0.044957827776670456, -0.019171616062521935, 0.05728950724005699, 0.06501002609729767, 0.022580191493034363, 0.04585092142224312, 0.05998353660106659, 0.030685052275657654, -0.004368034191429615, -0.029779208824038506, 0.047862861305475235, -0.02066144347190857, 0.04646971449255943, -0.003906430676579475, -0.0088517339900136, 0.04709288477897644, -0.03091057762503624, -0.05155504122376442, 0.04881603643298149, -0.009331515058875084, -0.10496543347835541, 0.010138883255422115, -0.0006132730632089078, 0.009077191352844238, 0.030452532693743706, -2.6937979355038864e-33, 0.012363248504698277, 0.01035885140299797, -0.01247766986489296, 0.013909301720559597, -0.007918321527540684, -0.07405853271484375, 0.06042911112308502, 0.010739914141595364, -0.01915351115167141, 0.06630188971757889, 0.042756494134664536, -0.031591515988111496, 0.07445745915174484, -0.039436399936676025, -0.0676678717136383, -0.04022553935647011, -0.012852702289819717, 0.03929021582007408, 0.13936491310596466, -0.08399045467376709, -0.07997792959213257, 0.01064791064709425, 0.06247084215283394, 0.02408062107861042, -0.005329995881766081, 0.009805427864193916, 0.08656045794487, 0.010169390588998795, -0.01696743443608284, 0.0022774559911340475, 0.05967530980706215, 0.054685309529304504, -0.029096748679876328, 0.00002350729664613027, -0.08041852712631226, 0.00006403973384294659, -0.05172228440642357, -0.08807025849819183, -0.0439763180911541, -0.09353416413068771, 0.08195003867149353, -0.014421047642827034, 0.08591607958078384, 0.051332373172044754, 0.015658186748623848, -0.013558967970311642, 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-0.04819898679852486, -0.04266408458352089, -0.05274197459220886, -0.02774842642247677, -2.9402617229834505e-8, -0.012654727324843407, -0.08873184025287628, -0.07526425272226334, -0.08481086045503616, -0.004432644695043564, 0.03279763460159302, 0.046053141355514526, 0.1134876012802124, 0.01277992594987154, 0.001458841608837247, 0.034564245492219925, -0.016011236235499382, -0.09497065097093582, 0.12444187700748444, -0.10796623677015305, 0.020808616653084755, 0.054039232432842255, -0.1078302264213562, -0.019478490576148033, -0.07203823328018188, 0.046092066913843155, -0.04236915335059166, 0.11434313654899597, 0.12582772970199585, 0.07615929841995239, 0.01694880798459053, 0.03220958262681961, -0.03045152872800827, 0.0032517476938664913, 0.0033930845092982054, -0.0614081472158432, 0.019913937896490097, 0.021377529948949814, -0.03316556662321091, 0.019566748291254044, 0.054214294999837875, -0.01615130715072155, 0.0607924684882164, 0.018067587167024612, -0.10390261560678482, -0.09244165569543839, -0.06215769797563553, -0.09180241823196411, -0.019833650439977646, -0.0153225501999259, -0.03594985231757164, 0.012308379635214806, -0.01935778558254242, -0.06245361268520355, 0.031007910147309303, -0.009206614457070827, 0.03346698358654976, 0.16642284393310547, -0.011615267023444176, -0.0009836646495386958, -0.06801100075244904, -0.11158380657434464, 0.009129862301051617, 0.05907876789569855, 0.04189998283982277, 0.026737529784440994, -0.07009294629096985, 0.015311851166188717, 0.0610322467982769 ]
MMLU-Pro
MMLU-Pro
A tank initially contains a salt solution of 3 grams of salt dissolved in 100 liters of water. A salt solution containing 0.02 grams of salt per liter of water is sprayed into the tank at a rate of 4 liters per minute. The sprayed solution is continually mixed with the salt solution in the tank, and the mixture flows out of the tank at a rate of 4 liters per minute. If the mixing is instantaneous, how many grams of salt are in the tank after 100 minutes have elapsed?
math
cot_lib-college_mathematics
[ 0.013583180494606495, 0.044536687433719635, 0.03288034349679947, -0.07190356403589249, -0.03143464773893356, 0.0015203506918624043, 0.10984636098146439, -0.00026298381271772087, -0.01448336523026228, -0.06353878229856491, 0.057369664311409, -0.03050645813345909, 0.09871529787778854, 0.04998568817973137, -0.026819005608558655, -0.008070513606071472, 0.014708440750837326, 0.015449254773557186, -0.1446269303560257, -0.002077025594189763, 0.01945267617702484, -0.03272649645805359, -0.06893732398748398, 0.006954036187380552, 0.04482492431998253, 0.016848791390657425, 0.06881985813379288, -0.013732741586863995, 0.08155521005392075, -0.025382984429597855, -0.06590332090854645, 0.07184673845767975, -0.02166162244975567, -0.062128473073244095, -0.06106327474117279, -0.031423673033714294, -0.0630858987569809, 0.018936598673462868, -0.000948838540352881, 0.0723646804690361, 0.0006221278454177082, -0.03300640732049942, 0.00877184048295021, 0.05566822364926338, 0.06183132529258728, 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MMLU-Pro
MMLU-Pro
A total of 30 players will play basketball at a park. There will be exactly 5 players on each team. Which statement correctly explains how to find the number of teams needed?
math
cot_lib-elementary_mathematics
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MMLU-Pro
MMLU-Pro
Which of the following is the body cavity that contains the pituitary gland?
health
cot_lib-anatomy
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MMLU-Pro
MMLU-Pro
What is the embryological origin of the hyoid bone?
health
cot_lib-anatomy
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MMLU-Pro
MMLU-Pro
What is the difference between a male and a female catheter?
health
cot_lib-clinical_knowledge
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MMLU-Pro
MMLU-Pro
How many attempts should you make to cannulate a patient before passing the job on to a senior colleague, according to the medical knowledge of 2020?
health
cot_lib-clinical_knowledge
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MMLU-Pro
MMLU-Pro
Why are parvoviruses a highly impactful parasite?
health
cot_lib-virology
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MMLU-Pro
MMLU-Pro
Say the pupil of your eye has a diameter of 5 mm and you have a telescope with an aperture of 50 cm. How much more light can the telescope gather than your eye?
physics
cot_lib-astronomy
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MMLU-Pro
MMLU-Pro
Where do most short-period comets come from and how do we know?
physics
cot_lib-astronomy
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MMLU-Pro
MMLU-Pro
A refracting telescope consists of two converging lenses separated by 100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification of the telescope is
physics
cot_lib-college_physics
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MMLU-Pro
MMLU-Pro
Colors in a soap bubble result from light
physics
cot_lib-conceptual_physics
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MMLU-Pro
MMLU-Pro
A microwave oven is connected to an outlet, 120 V, and draws a current of 2 amps. At what rate is energy being used by the microwave oven?
physics
cot_lib-high_school_physics
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MMLU-Pro
MMLU-Pro
In contrast to _______, _______ aim to reward favourable behaviour by companies. The success of such campaigns have been heightened through the use of ___________, which allow campaigns to facilitate the company in achieving _________ .
business
cot_lib-business_ethics
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MMLU-Pro
MMLU-Pro
_______ is the direct attempt to formally or informally manage ethical issues or problems, through specific policies, practices and programmes.
business
cot_lib-business_ethics
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MMLU-Pro
MMLU-Pro
How can organisational structures that are characterised by democratic and inclusive styles of management be described?
business
cot_lib-management
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MMLU-Pro
MMLU-Pro
Although the content and quality can be as controlled as direct mail, response rates of this medium are lower because of the lack of a personal address mechanism. This media format is known as:
business
cot_lib-marketing
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MMLU-Pro
MMLU-Pro
In an organization, the group of people tasked with buying decisions is referred to as the _______________.
business
cot_lib-marketing
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MMLU-Pro
MMLU-Pro
Which of the following represents an accurate statement concerning arthropods?
biology
cot_lib-college_biology
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MMLU-Pro
MMLU-Pro
In a given population, 1 out of every 400 people has a cancer caused by a completely recessive allele, b. Assuming the population is in Hardy-Weinberg equilibrium, which of the following is the expected proportion of individuals who carry the b allele but are not expected to develop the cancer?
biology
cot_lib-college_biology
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MMLU-Pro
MMLU-Pro
A mutation in a bacterial enzyme changed a previously polar amino acid into a nonpolar amino acid. This amino acid was located at a site distant from the enzyme’s active site. How might this mutation alter the enzyme’s substrate specificity?
biology
cot_lib-high_school_biology
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MMLU-Pro
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ORI Dataset

Description:
This dataset contains prompts and their embeddings from multiple benchmarks:

  • MMLU-Pro
  • GPQA
  • HLE
  • LiveCodeBench
  • SciCode
  • HumanEval
  • Math-500
  • AIME

Embedding Model: SentenceTransformer bge-small-en-v1.5
Embedding Dimension: 512
Creation Date: 2025-05-30
Other Notes: Useful for tasks like semantic search, retrieval-augmented generation, and similarity.

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