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[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A pšašanje a wótegrono forum ma 200 cłonkow. Pśerědny licba wótegronow póstojeńskich wótpósłańcow na forum jo tśi raze tak wjele ako lic... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W žłobikowym klube, je dwójce tak wjele žonow hač mužow. Kelko žonow je, hdyž je 18 čłonow w klubje?"
},
{
"role": "assistant",
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj najmjeńši rozrisanje k wurownanjemu \\[\\lfloor x^2 \\rfloor - \\lfloor x \\rfloor^2 = 17.\\]"
},
{
"role": "assistant",... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli $\\det \\mathbf{A} = 2$ a $\\det \\mathbf{B} = 12,$ potom namakaj $\\det (\\mathbf{A} \\mathbf{B}).$"
},
{
"role": "assista... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> James wudźěła swój awto za $20 na hodźinu. Wón jón za 8 hodźin na dźeń 4 dnjow na tydźeń wudźěła. Kak wjele wón tydźeń dóstanje?"
},
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Co jo mediana prědnych źaseś pozitiwnych licbow? Wugroniś swójo wótegrono ako dekliněrowany do nejblěšego źaseś."
},
{
"role": "... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Mjeńši kwadrat w figurej podłu ma wobwod $4$ cm, a wjetši kwadrat ma pismik $16$ $\\text{cm}^2$. Kak je wotstawk wot dypka $A$ k dypkaj ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Krajne skokowe finaly wobsahowachu štyri narodnych šampjonow, kotrež so mjez sobu wubědźowachu. Prěni wubědźowar skakaše zdónk 22 stopjo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Arthur ma $200 w swójej kóšuli. Wón wudajo styri-pěśźesćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasćźasć... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Amaya glěda na film, kótaryž ma za tšachotny, tak dalej wótpowědnje glěda a musy wrośiś, aby cośo, což jo zabyła. Wóna glěda 35 minutow ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $x,$ $y,$ $z$ byś realne licby tak, až $x + y + z = 5$ a $xy + xz + yz = 8.$ Namakajśo nejwětšy móžny gódnotu $x.$"
},
{
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Definej porjadowany trojenc $(A, B, C)$ skupinow, zo by minimalnje překupany był, jeli $|A \\cap B| = |B \\cap C| = |C \\cap A| = 1$ a $... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Započńće z mnohotnym inwersom $201$ modulu $299$. Wužiwajće wotmołwu jako cyfrowy wotmołwowy wotpowědny wot $0$ do $298$."
},
{
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj $(-2)^{3}+(-2)^{2}+(-2)^{1}+2^{1}+2^{2}+2^{3}$."
},
{
"role": "assistant",
"content": "Recall that $(-a)^{n}=a^n$ fo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A regularny šesćikónč je inskribowany do kruha a druhi regularny šesćikónč je wokoło samsneho kruha wobsadźeny. Kajki je poměr mjezy wje... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Caleb ma 3 dozy žałbow. Sophie ma poł tak wjele kulkow ako Caleb. Wjele jellybeanow maśo w cełku?"
},
{
"role": "assistant",
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jasper słužy charcuterie na swójom wjacornem swěźenju. Wón kupijo 2 funta cheddaroweje mjasoweje tykańce za $10, funt kremoweje tykańce,... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Předpłać $11^5\\equiv n\\pmod 9$, hdźež $0\\le n<9$. Kajki je hódnotu $n$?"
},
{
"role": "assistant",
"content": "We have $1... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dno dwěma pólamu su 12 stopow wótstajone a su na regionje płoneje zemje. Jaden pole jo 6 stopnjow wusoki a drugi jo 15 stopnjow wusoki. ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj $x,$ dawa so, zo $x$ njeje nula a čisła $\\{x\\},$ $\\lfloor x \\rfloor,$ a $x$ tworja aritmetisku sekwencu w tym rjedźe. (We de... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Grafa\n\\[r = -2 \\cos \\theta + 6 \\sin \\theta\\]je kula. Namakaj pismik wjerška kruha."
},
{
"role": "assistant",
"conten... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Factoruj wyraz $x(x+2)+(x+2)$."
},
{
"role": "assistant",
"content": "We can factor the expression $x+2$ out of each term: ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W $\\triangle{ABC}, AB=10, \\angle{A}=30^\\circ$ , a $\\angle{C=45^\\circ}$. Daj $H, D,$ a $M$ być dypkam na čisle $BC$ tak zo $AH\\perp... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Předpłać, zo $a$ a $b$ su pozitiwne cyfry tak zo $a-b=6$ a $\\text{gcd}\\left(\\frac{a^3+b^3}{a+b}, ab\\right) = 9$. Namakaj najmjeńši m... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Rozdźěl mjez dwěmaj dokonjanskimaj kwadratomaj je 133. Što je najmjeńši móžny sumu dwěma dokonjanskim kwadratam?"
},
{
"role": "... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W naprašowanju wo najlubšim sportu studenta, 40% praji, zo lubuje basniko, 10% lubuje šachy, 28% lubuje soko, a zbytk praji, zo lubuje b... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Amanda, Ben a Carlos dźěleja sumu pjenjez. Jich porcije su w poměrje 1:2:7, wotpowědnje. Jeli je Amandaowa dźělna $\\$$20, što je cyłkow... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Gina a Tom hraještaj kopańcu. Na prěnim dnju, Gina skótny dypk dwaj, štož běše tři mjenje hač Tom. Na druhim dnju, Gina wudoby dwě hólčc... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Faktorizěrujśo faktor $x^2+4x+4-81x^4$ do dwěma kwadratowyma polinomoma z cysłami. Pódaś swójo wótegrono w formje $(ax^2+bx+c)(dx^2+ex+f... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pětr je łopjecha łójił. Trjeba jemu 15 mjeńšinow, 3 koše łopjenow hromadźić. Jeli dźerži hrabnuć na samsnym rate, kelko časa budźe jemu ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Počerkownja poskićuje wobjed při poł dypku na cenje, jeli jěš mjez 2-4 hodź. Curtis poruča Salisburger wołmu, kotraž płaći $16.00 a Rob ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W nazymje, 20,000 high school studentow na Harvardowy uniwersum za college přepodawa. W nalěću 5% z tych 20,000 studentow přijima so na ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Funkcija $f$ je definowana na pozitiwnych cyłobrojkach takle:\n\\[f(n) = \\left\\{\n\\begin{array}{cl}\nn + 10 & \\text{hdyž $n < 10$}, ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Sumu prěnich $n$ terminow w wobskonažnej sekwency $\\left\\{1,\\frac{1}{3},\\frac{1}{9},\\frac{1}{27},\\dots \\right\\}$ je $\\frac{121}... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> John hraje na arcade 3 hodźiny. Wón wužiwa $.50 za kóžde 6 mjeńšin. Kak wjele pjenjez wón wudźěła, w dolarach?"
},
{
"role": "as... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kótary multiple 15 jo nejbližy k 2009?"
},
{
"role": "assistant",
"content": "An integer is a multiple of 15 if and only if ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Simplifikujśo $(1 + \\tan 20^\\circ)(1 + \\tan 25^\\circ).$"
},
{
"role": "assistant",
"content": "From the angle addition f... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $a$, $b$, a $c$ byś kórjenjami $x^3 - 20x^2 + 18x - 7 = 0$. Pśirědujśo \\[(a+b)^2 + (b+c)^2 + (c+a)^2.\\]"
},
{
"role": "a... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kayla a Kylie zběrali 200 jabłukow dohromady. Kayla wuběra 1/4 jabłukow, kotrež Kylie wuběra. Kelko jabłukow je Kayla zběrała?"
},
{... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli $5! \\cdot 3! = n!, što je hódnota $n$?"
},
{
"role": "assistant",
"content": "This problem can be solved by the quick ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $x_1, x_2, \\ldots, x_n$ byś realne licby, kótarež spócetne su $|x_i| < 1$ za $i = 1, 2, \\dots, n,$ a \\[|x_1| + |x_2| + \\dots +... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tammy ma 10 oranžowych štomow z kotrychž móže 12 oranžow kóždeho dnja wuzběhnyć. Tammy produje 6-pakety oranžow za $2. Kak wjele pjenjez... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> John kupijo 20 góźinow muziki na mjasec. Pśerědny dłujkosć kórtki jo 3 minuty. Wón kupijo kuždu spiwku za $.50. Wjele płaśi za muziku lě... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli $\\sum_{n = 0}^{\\infty}\\cos^{2n}\\theta = 5$, što je hódnota $\\cos{2\\theta}$?"
},
{
"role": "assistant",
"content":... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pónjeźele, Mack pisa w swojim žurnalu za 60 mjeńšinow na špachtelnje 1 štomku na 30 mjeńšinow. Wutoru, Mack pisa w swojim žurnalu 45 mje... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kajki typ konikoweje sekcije so wopisuje wurownanjom \\[(x+5)^2 = (4y-3)^2 - 140?\\]Zapódaj \"C\" za kulo, \"P\" za parabolu, \"E\" za e... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Smithowa swójba ma 4 synow a 3 dźowki. W kotrych wašnju móža so w rjadowni 7 ławčkow tak sedźeć, zo su najwjace 2 hólcach pódla jedneje?... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Bob běži 6 milow na hodźinu. Jeho přećel Jim běži 9 milow na hodźinu. Hdyž ma Bob 1 milu wotstawk, kelko mjeńšin budźe trjeba, doniž Jim... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Mój šulski mathowy klub ma 6 gólcow a 8 źowćow. Musym team wubraś, kótaryž musym do statnego matha wuběźowanja pósłaś. Comy 6 luźi na te... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Antonio je hólčec, kotryž jě wjele a jeho waha je 50 kilogramow. Antoniowa sotra, kotraž je sportowčka, waha 12 kilogramow mjenje hač nj... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Ewaluěruj $\\log_3\\frac{1}{3}$."
},
{
"role": "assistant",
"content": "Let $x=\\log_3\\frac{1}{3}$. Then, we must have $3^... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Punkty $A$, $B$, $C$, a $T$ su w prostej tak až kuždego z $\\overline{TA}$, $\\overline{TB}$ a $\\overline{TC}$ jo pšemaŕske k drugemu. ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> 5/8 kupowarjow na wšyknych twóŕkach pśedewześa wótpokazujo wótpokazowańsku liniju na kóńcach tyźenja a wumějo wuměśe wótpokazańskego rěd... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Maynardowy ps je 8 dźěrow do łubi wudrył. Maynard napjelnje 75% dźěry z pjeršću. Kelko dźěrow wostanje njepjelnjenych?"
},
{
"ro... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Ewaluěruj $x^3 + x^2 + x + 1$ hdyž $x = 3$."
},
{
"role": "assistant",
"content": "We see that the expression is equal to $3... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dwaźasća pówětšone pśez dwójcy licbu jo 39. Co jo licba?"
},
{
"role": "assistant",
"content": "We are asked to solve $27+2x... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jolic 1 ounce Dawnoweje płucneje mydła móžo 200,000 płucow wuźěłaś, a dr. Bronnerowy płucny mydło móžo dwójcy tak wjele płucow na unciju... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Emily chójźi łojś a ma wjelgin wósebnu źeńku. Wóna łojijo 4 truty, 3 katfish, a 5 młodych barlow. Jolic ryba 2 funty kuždu ma, kóńcny ry... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Scott běga 3 milje kuždego pónjeźela do srjogi. Pótom wón dwa raz tak daloko jo běžał na pónjeźele kužde stwórtki a pětk. Wjele milow bu... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Lucija je rejowaćelka. Wona wotměwa 2 hip-hopoweje skupiny na tydźeń, 2 baletoweje skupiny na tydźeń, a 1 jazzoweje skupiny na tydźeń. J... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dwaj liniji definowanej wot wurownanjow $y = mx + 4$ a $y = 3x + b$, hdźež $m$ a $b$ su konstanty, so na wosobu $(6, 10)$ zetkaja. Kajki... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kórtki za film płaśe $5 na źeń na pónjeźelego, dwójcy tak wjele na srjodu, a pěś razow tak wjele ako źeń na sobotu. Jolic Glenn póchada ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Konwertujće dypk $( -2, -2 \\sqrt{3}, -1)$ w prawokatnych koordinatach na cylindričnej koordinatach. Zapodaj swoju wotmołwu w formje $(r... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W trošegu $VWX$ pokazuju, $VX = \\sqrt{13}$ a $VW = 3$. Co jo $\\tan V$? [asy]\npair V,W,X;\nW = (0,0);\nV = (0,3);\nX = (2,0);\ndraw(V-... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Frank dźe do wobchoda, zo by něšto jědźe kupił. Wón kupi 5 šokolodowych barikow a 2 košow chipsow. Wón da pjenježnikjej $20 a dósta $4 w... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W 90-minutowym koparskim hraću, Mark hraješe 20 mjeńšin, potom wotpočny po tym. Wón potom hraješe za druhi 35 mjeńšinow. Kak dołho bě na... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tute swójby maja přerěznje 2 dźěći na swójbu. Jeli je runje dwě z tutych swójbow bjez dźěći, što je přerězna ličba dźěći w swójbach z dź... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tony jo napórał sandwich z dwěma kuskoma płodow za wobjed wšednje toś tu tyźeń. Sobotu jo był wósebnje głodny wót źěła na zagroźe a jo n... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Celina lubuje krosnowanje w horach. Dźě wotbłyšćowanja wotpowědneje techniki dla rozsudźi wona, por nowe črije, reflektor a wosebitu hoo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Funkcija $f$ njeje definowana za $x = 0,$ ale za wšitke njedźiwne realne ličby $x,$\n\\[f(x) + 2f \\left( \\frac{1}{x} \\right) = 3x.\\]... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Lilahowa familijowa galerija ma 400 fotografijow. Na dwě dnjownej droze do Grand Canyona, su wzełej poł tak wjele fotografijow ako maju ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Za pšawe licby $t,$ se póśěgnjo póśěg dwěma kśiśeju $x + 2y = 7t + 3$ a $x - y = 2t - 2.$ Wšykne pśisajźone dypki laže na rěźe. Namakaj ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Aritmetiska měra 12 wuslědkow jo 82. Gaž se nejwětšy a nejmjeńšy wuslědk wótpórajotej, nowy měr se 84 staśo. Jolic nejwětšy z 12 licbow... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj licbowu gódnotu $k$ za kótarež\n\\[\\frac{7}{x + y} = \\frac{k}{x + z} = \\frac{11}{z - y}.\\]"
},
{
"role": "assistant"... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tśi raze suma kopicow, kótarež ma Atticus, Jensen a Cruz, jo rowna 60. Jolic Atticus ma poł tak wjele kopicow marlow ako Jensen, a Attic... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Lena jo grała wideo gry za 3.5 góźinow na kóńcu tyźenja. Jeje bratš jo grał 17 minutow wěcej ako wóna jo grała. Wjele minutow gromaźe jo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Meryll co 35 wěcejwólbnych pšašanjow a 15 problemowych pšašanjow za swóju chemiju pisaś. Wóna južo ma 2/5 wěcejwólbnych a 1/3 problemoju... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Co jo gódnota $x^2+y^2-z^2+2xy$ gaž $x=-3$, $y=5$, a $z=-4$?"
},
{
"role": "assistant",
"content": "We substitute the values... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj wšitke realne čisła $x$ tak zo\n\\[\\frac{8^x + 27^x}{12^x + 18^x} = \\frac{7}{6}.\\]Zapisaj wšitke rozrisanja, rozdźělene z kom... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Anna jo wužyła styri pjacyńske blady, aby pśedkšyśe pjakła. Kužda tšaja ma 20 kupacow a kužde kupacowu jo se pótom pśedało za $2. Jolic ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Měd dósta $80 na dźeń. Kóždy dźeń, wudźěła dźěl swojeho pjenjeza a zběra wostatk. Po 20 dnjach dźěła, wudźěła $1360. Kak wjele je Honey ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W matriksy, jo sedym mjenjej rybow ako piraty. Jolic jo 45 piratow, kak wjele nuzkow a piratow jo w cełku?"
},
{
"role": "assist... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj troholětko $ABC$ być prawy troholětk w $xy$-planje z prawym wuhlom při $C$. Dawa so, zo je dołhosć hypotenuze $AB$ $60$, a zo leža m... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> 85 papjerowych hwězdow je trjeba, zo by so škleńca napjeliła. Luke je hižo 33 hłódkow sčinił, ale trjeba 4 šalki napjelnić. Kelko wjace ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Gretchenowa lokalna šokoladowa špańka pśedajo 100 wšakich słodkosćow. Wóna jo mógała wopytaś 1/4 wóńcow 2 lěta do togo a dwójcy to wěcej... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $a,$ $b,$ a $c$ być rozdźělnym realnym ličbje tak zo\n\\[\\frac{a^3 + 6}{a} = \\frac{b^3 + 6}{b} = \\frac{c^3 + 6}{c}.\\]Namakaj $a^... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Twa sotry dźeštaj do kine. Kasety su $8 na wosobu. Hdyž sotry přinjeseštaj $25 sobu, kelko změny dóstanu po kupjećich kórtow?"
},
{
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Što je hódnota $x$ hdyž je woběm kubołčce wobjim $5x$ kubikowych jednotkow a jeje wobłuk $x$ kwadratowych jednotkow?"
},
{
"role... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj $3 \\cdot 5 \\cdot 7 + 15 \\div 3.$"
},
{
"role": "assistant",
"content": "Recall that multiplications and divisions... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kajki je dźesaty termin w geometriskej sekwency $9,3,1,\\frac 13, \\ldots$?"
},
{
"role": "assistant",
"content": "We could ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pjelnjenje lěsa je tři razy wobjim kwadrata. Jeli ma puć dołhosć 100 metrow na jednej stronje a ličba štomow na kwadratny metrow w lěsu ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jairus jo cytał 20 bokow nowiny. Arniel jo cytał 2 wěcej ako dwójcy licbu bokow, kótarež jo Jairus cytał. Wjele bokow su wóni cełkownje ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj nejwětšy cysło $n$ za kótarež $12^n$ derje źěli $20!$."
},
{
"role": "assistant",
"content": "Since $12^n = 2^{2n} \... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kóžda nutřkowna kónčina regularneho pólěta měri $140^\\circ$. Kelko bokow ma polygon?"
},
{
"role": "assistant",
"content": ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jamal jo kupił 4 poł šesćźaset barwonych kólasow za $2 na kólasu. Co jo było cełkowna kósta krawcow, kótarež jo kupiła?"
},
{
"r... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kajki je produkt $\\frac{1}{5}$ a $\\frac{3}{7}$ ?"
},
{
"role": "assistant",
"content": "A product is what you get when you... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajśo wšykne gódnoty $x$ z $0 \\le x < 2 \\pi$ kótarež spócynjaju $\\sin x + \\cos x = \\sqrt{2}.$ Zamkajśo wšykne rozwězanja, rozd... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Markus je dwójce starši hač jeho syn, a Markusowy syn je dwójce starši hač Markusowy dźěd. Jeli suma starow Markusa, jeho syna a jeho dź... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> 4 studentow wobdźělichu so na 200m běhu. Hdyž běše přerěznje čas wotkónčenja poslednich třoch šulerjow 35 sekundow, a přerěznje čas wotk... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajśo njestajny polinom $P(x)$ tak, až\n\\[P(P(x)) = (x^2 + x + 1) P(x).\\]"
},
{
"role": "assistant",
"content": "Let $... |
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