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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> Pśedpołožćo $z$ jo kompleksny licba tak až $z^2 = 24-32i$. Namakaj $|z|$."
},
{
"role": "assistant",
"content": "Since $z^2 ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli $3x-5=10x+9$, što je $4(x+7)$?"
},
{
"role": "assistant",
"content": "Subtracting $3x+9$ from both sides of the first e... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Mam 10 rozdźělnych kóšulow w mójej kšajźe: 4 běłe, 4 brune, a 2 módre. W kótarej licbje mógu wubraś paru štrumpikow, pódany až dostanu š... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Monica wuči za wuknjenje na wuknjenskim pruwowanju. Wona studowaše 2 hodźiny na srjedu a tři razy tak dołho na štwórtk. Pjatk studowaše ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Na kwadratje $ABCD$, dypk $E$ lažy na boku $AD$ a dypk $F$ lažy na boku $BC$, tak až $BE=EF=FD=30$. Namakajśo pśestrěńcu kwadrata $ABCD$... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Karen měješe wulki koš krawčikow, wobsahowacy dwójce tak wjele krawčikow hač bě w Beatricej. Ale Beatriceowa kisańka wobsahowaše dwójce ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Póla pólěga $ABCDEF$ jo 52 z $AB=8$, $BC=9$ a $FA=5$. Co jo $DE+EF$? [asy]\npair a=(0,9), b=(8,9), c=(8,0), d=(4,0), e=(4,4), f=(0,4);\n... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Co jo cełkowna pśestrěńca, w kwadratowych jadnotkach, tśich kónjeńskich bokowu pśedrogi pšawego, kwadratowego bazu, kótaraž ma bazu 6 un... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kak wjele licbow $n$ mjazy 1 a 349 inkluziwnje źo se, až se wótpowědne zapisanje $\\frac{n}{350}$ zakóńcyjo?"
},
{
"role": "assi... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Přez kotre zhromadne dźěleńce $0.\\overline{81}$ přewaha $0.81$?"
},
{
"role": "assistant",
"content": "First, we convert $0... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Delores ma pjenjeze. Wóna kupijo kompjuter za $400 a štrykaŕ za $40. Jolic ma $10 wóstało, kak wjele pjenjez, w dolarach, jo Delores měł... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Fernanda kupi šěsć audioknihow z Audible, zo by je wot swojeho audibla přez audibla přez audio-app słyšała. Jeli běše kóžda audioknjihow... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> James kupijo 5 pakow sodow, kótarež su 12 sodow kužde. Wón jo měł 10 sodow južo. Wón skóńcyjo wšykne sody w 1 tyźenju. Wjele sodow wón ź... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Sidney cyni 20 skokow na pónjeźele, 36 na wótpołdnju, 40 na srjodu a 50 na stwórtk. Brooke cyni tśi raze wěcej skokow ako Sidney. Wjele ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> John wuběgnjo 3 schody. Prědny schójźeńk ma 20 kšacow. Pśiducy ma dwójcy wěcej kšacow ako prědny. Kóńcny schójźeńk ma 10 mjenjej schódow... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Zewšym faktoraśo slědowacu wyšynu: \\[(15x^3+80x-5)-(-4x^3+4x-5).\\]"
},
{
"role": "assistant",
"content": "First, we combin... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj nejwětšy primowy źělnik $25^2+72^2$."
},
{
"role": "assistant",
"content": "$25^2+72^2=5^4+4\\cdot 6^4$, and we can ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> 14 mjenje hač dwójce ličby koi rybow w jědźe je 64. Kelko koi rybow budźeš w hatach namakać?"
},
{
"role": "assistant",
"con... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W $\\triangle{ABC}$, $\\angle ABC=120^\\circ,AB=3$ a $BC=4$. Jeli so wusměrki k $\\overline{AB}$ při $A$ a k $\\overline{BC}$ při $C$ ze... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Polinom $f(x)=x^4+ax^3+bx^2+cx+d$ ma realne koeficienty, a $f(2i)=f(2+i)=0$. Što je $a+b+c+d$?"
},
{
"role": "assistant",
"c... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A žołd je połny čerwjeneho, oranžoweho a žołteho žołdka. Šansa, zo so z ranžowanja čerwjene žołdźane běrny z tutych žołdźow wotewrěje, j... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Wohladaj kónčka trojhłubiny měrja 30 a 45 stopjenjow. Jeli měri strona trojhłubiny napřećo 30-stopnjowemu wótrězkowemu wotrostkej $6\\sq... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kekai jo wuběgał stojnišćo sundańka na carnowenju. Pónjeźeńku cyni 40 sundaes, a wón wumějo 6 m&ms na kuždego sundaes. Wótpołdnja, wón c... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Aby Matej za kólasom 1000 metrow w swójom kwadratowym zagroźe chójźił, musy wóliś 25 razow abo wokoło 10 razow. Co jo pśestrěń Matejowej... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Lětadło ma tśi sekcije: prědny klas (24 sejźeńcow), biznisny klas ($25\\%$ wótpowědnje licby sejźeńcow) a ekonomija ($\\frac{2}{3}$ wótp... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kužda śěła 3 boku šawry ma 8 kórtkow běgajucych šyroki śěła śěła a 20 kórtkow běgajucych wusokosći śěła. Kak wjele kórtkow jo w kupadłac... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Thomas, Toby a Rebecca dźěłachu cyłkownje 157 hodźin w jednym tydźenju. Thomas dźěłaše x hodźin. Toby dźěłaše 10 hodźin mjenje hač dwójc... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Brenda a dźewjeć z jeje přećelkow chce porěčeć pizzy. Woni rozsudźa, zo kóžda wosoba jě 2 kuskow. Jeli kóžda pizza ma 4 kuskow, kelko pi... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $x$ a $y$ być realnymi ličbami wjetšimi hač 1 tak zo\n\\[(\\log_2 x)^4 + (\\log_3 y)^4 + 8 = 8 (\\log_2 x)(\\log_3 y).\\]Komputuj $x... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Judson, Camilo a Kenny rozsudźi so, pjenjezy přinošować, zo bychu swój dom barbili. Judson přinošowaše $500, Kenny přinošowaše 20% wjace... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajśo wšykne realne licby $a$ tak, až kórjenje pólěnalogo\n$$x^3 - 6x^2 + 21x + a$$su aritmetiska progresija a njejsu wšykne realne.... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jerry wótrějo kuskami łamanego škleńca w parkowanišću. Wón zběra 20 amberskich kórtkow, 35 zelowych kórtkow, a někotare jasne kórtki. Jo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Zawód ma 50 nowych woglědowarjow do zawoda kužde góźinu. Zawołožk jo wótwórjony za 8 góźinow w jadnom dnju. Jolic 80% wšych woglědowarjo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Póla šćitaneje regiony jo 78 kwadratnych incow. Wšykne wótkłody su pšawe wótkłody a wšykne měritka su dane w incych. Co jo pśeměr njeśiš... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Józef trjeba 12 šćipkow limonoweje kisy, zo by dwanaće swojich limonowych kupcow warił. Kóžda limona poskići 4 šklě limonoweje žołdy. Hd... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj licbu porědnych kwadruplow $(a,b,c,d)$ realnych licbow tak, až\n\\[\\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix}^{-1} = \\ren... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajo šesć rozdźělneje pozitiwneje ceble $a,b,c,d$ mjenjej ako $8$ kótarež su inwersibilne modulo $8$. Namakaj wóstank, gaž $(abc+abd+acd... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A šokoladowa kóšula wopśimujo 200 barow. Thomas a jogo 4 pśijaśele wzeju 1/4 barow a rozsuźiju se, jeje rownomjenjej mjazy nimi rozdźěli... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Trjeba 3 ounciwki wopaka za detail Kellana wózyk a 4 ounciwki za detail jogo SUV. Wón jo kupił 11-uncju butelku wótněgańskego wóskowego,... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Co jo suma njece licbow wót 11 až do 39, inkluziwnje?"
},
{
"role": "assistant",
"content": "We want to sum the arithmetic s... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajće poměr wobjima konička k wobjimje cylindra. Wužiwajće swójski dźěl. [asy]\nimport solids; size(150); import three; defaultpen(l... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Stephen jo pórucył 2 wjelikej pizoce, wobě źělenej na 12 kuskow. Wón jo jědł 25% pizasoweje pizzy. Jogo pśijaśel Pete jo jědł 50% wóstan... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> An $\\textit{annulus}$ jo region mjazy dwěma koncentriskima kśicami. Koncentriski koła w pśikazu maju radij $b$ a $c$, z $b>c$. Dajśo $\... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Scarlet zběhny $80, zo by na šate płaćił. Wona kupi par posleškow, kotrež płaćachu $23. Potom kupi narěč, kotraž płaći $48. Kak wjele je... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli $a$ je njedźiwny cyłk a $b$ je pozitiwne čisło tak zo $ab^2=\\log_{10} b$, što je mediana sady $\\{0, 1, a, b, 1/b\\}$?"
},
{
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśirědujśo: $\\displaystyle \\frac{66,\\!666^4}{22,\\!222^4}$."
},
{
"role": "assistant",
"content": "We have \\[\\displayst... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A heksagon je dóstać, po tym, zo wotkryješ, w rjadownosći, wosoby $(0,1)$, $(1,2)$, $(2,2)$, $(2,1)$, $(3,1)$, $(2,0)$, a $(0,1)$. Perim... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tree Elementary School budźe pjenjezy za nowy hrajnišćo zběrać. Knjeni. Johnsonowa rjadownja zběraše $2300, štož je dwójce wobjim, kotry... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Marko jo dostał 5 mjenjej dolarow ako Evan. Gromadu su dostali $37. Kak wjele dolarow jo Markoze zarědował? Wužyśo E, aby pśedstajił, ka... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Alice jo wubrała pjeć pozitiwnych licbow a jo namakała, až jeje produkt jo pśeśiwny. Co jo maksimalna licba njeceńkich licbow mógała wub... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> John jězdźi 1000 milow na měsac. Wón trjeba wuměnu wóla na kóždej 3000 milach. Wón dóstanje 1 darmotny wuměnjenje lěto. Hdyž wuměnjenje ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kajke hódnoty $x$ su za kotrež je wyjadranje $\\frac{x^2-9}{(x^2+2x-3)(x-3)}$ njeznjesomne?"
},
{
"role": "assistant",
"cont... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Bill minyŕ wótkšyjo łuku złota. Wón wuspěšnje pśedawa 8 oncowu k młynikarjeju, ale ga wopyta pśedawaś k šefoju jo se wótměł, pśedawał $5... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Beatrice kupujo za nowu telewiziju. Nejžpjerwjej glěda 8 telewizorow na jadnom wobchodje w osobinje. Pótom glěda na tśi raze wěcej telew... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Michael ma kokošnu statok. Jeho kokošy přiběraja ličbu 150 kokošow wob lěto. Hdyž je ličba kokošow na jeho statoku nětko 550, kelko wone... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W trojniku, dwa z boku dłujkosćow su 7 a 8, a kóńcny wótkaz mjazy nimi jo $120^\\circ.$ Namakajśo dłujkosć tśeśego boka."
},
{
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pjeć mjenje hač tři razy ličba Dobermanow plus rozdźěl mjez ličbu Dobermanow a ličbu Schnaučkow je runa 90. Jeli je ličba Dobermanowčiko... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśedpołožćo, až $x_1+1=x_2+2=x_3+3=\\cdots=x_{2008}+2008=x_1+x_2+x_3+\\cdots+x_{2008}+2009$. Namakajśo gódnotu $\\left\\lfloor|S|\\right... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Na prědnem dnju šule, kněni McGillicuddy jo měło 25 studentow zapisanych za zajtšnu cedlu źiśownje, ale 3 studentow jo było njedostupnyc... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Johnny kupijo 15 pakow barwonych kólasow za swój rěd. Kužde pakśiko ma cerwjeny, žołty a zelony kóńcny kóńc. Gaž domoj dojźo wón pytnjo,... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Erin je přez knihi w bibliotece wusortěrowała, zo by rozsudźiła, kotrež maja wuměnu. Wona namaka 8 mjenje hač 6 króć wjace zastaranych k... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśirědujśo $95^2$ w głowje."
},
{
"role": "assistant",
"content": "We have $(90 + 5)^2 = 90^2 + 2(90)(5) + 5^2 = 8100 + 900 ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $A = \\{1, 2, 3, 4, 5, 6, 7\\}$, a daj $N$ być ličbje funkcijow $f$ z kolektiwow $A$ na $A$, tak zo je $f(f(x))$ stańcy. Namakaj wos... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Randy ma pjenjeze. Wón jo płaśił $10 za swójo wobjed. Wón jo połojcu pjenjez, kótarež jo wóstał, na lódowy šnork wóstał. Jolic kšywo kos... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśemysliśo seś $n$ $7$ow, $7777\\cdots77,$ do kótaregož se $+$ znamjenja zapśěgnu, aby se napórała aritmetiska wyšyna. Na pśikład, $7+77... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Clareje maś jo dała jej $47, aby šła do wuběgańca. Clare jo kupiła 4 łopjena płodow a 2 kjarśonki mloka. Kužda kafejowa kafejowa jo płaś... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dołhosć segmenta mjez dypkami $(2a, a-4)$ a $(4, -1)$ je $2\\sqrt{10}$ jednotkow. Kajki je produkt wšitkich móžnych hódnotow za $a$?"
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Eliza móže šalku w 15 minutach a šat w 20 minutach wužehlić. Hdyž wudźěła 2 hodźiny šalki a 3 hodźiny suknje, kelko kóždej drasty je wud... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Konwexny pjećhłótny pjećhłótny $ABCDE$ ma boku $AB=5$, $BC=CD=DE=6$, a $EA=7$. Nimo toho, pjećhónčk ma zapřijeć kruh (kruh, kotrež je ta... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A campingowe městno jo zapisało cełkownje 150 wótpócywarjow za tśi tyźenje. Tyźeń do togo jo było 40 wótpołdnjow, což jo było 10 wěcej a... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Wjele licbow jo w lisće $ 4, 6, 8, \\ldots, 128, 130 ?$"
},
{
"role": "assistant",
"content": "Dividing each member of the l... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Flora ma cesto škrabane kóšy. Dr. Juan jo pšosył ju, zmócniś swóje kósće pśez piśe 105 gallonow mloka w 3 tyźenjach. Flora mysl, až jo p... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Paul jo trjebał kupiś někotare nowe drastwy za źěło. Wón jo měł 10% pśedkórtu, kótaruž móžo wužywaś na swójom cełkownem nakupje pó kužde... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Za to, zo by płaćiznu wěsteje kuli měrił, Juan najprjedy dołhosć jeje diametra měri. Woprawdźity diameter je 20 cm, ale Juanowy měrjenje... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A wucabnik ma jadnu rědownju z $24$ wuknikami w njej. Jolic co źowka źěłarjow do jadnakego źěła źěliś do jadnakego źěła nejwěcej $10$ st... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A čara, kotraž ma $y$-intercept $(0,5)$ so z elipsu $9x^2 + 16y^2 = 144.$ Namaka wšitke móžne kónčiny teje čary."
},
{
"role": ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajśo $k$ jolic\n\\[(\\sin \\alpha + \\csc \\alpha)^2 + (\\cos \\alpha + \\sec \\alpha)^2 = k + \\tan^2 \\alpha + \\cot^2 \\alpha.\\... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tony, Moses a Esther maju źěliś $50. Mózes buźo 40% cełkowneje sumy, Tony a Esther budu rozdźěliś wóstanurowu rowno mjazy sobu. Wjele wě... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Sumu kwadratow tśich susednych pozitiwnych licbow jo 7805. Co jo suma kubołow tśich prědnych licbow?"
},
{
"role": "assistant",
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Licba\n\\[\\text{cis } 75^\\circ + \\text{cis } 83^\\circ + \\text{cis } 91^\\circ + \\dots + \\text{cis } 147^\\circ\\]jo wopisana w fo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Max kupi nowy pódkóžny koleso a zapłaći $10\\%$ wot kóštow prěnjotnje, štož bě $\\$150$. Kajka bě płaćizna kolesa?"
},
{
"role":... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Xena prócuje so wočinić dróze k wuměnjenju, zo by do wuměnjenja dróze dóšła. Xena ma 600 stopjow start, ale drapa móže ju haćić, jeli dó... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Emily jo kupiła šat a kóšulu za $600. Co płaśi šata, gaž jo tśiźasća procentow płaśizny kóšule?"
},
{
"role": "assistant",
"... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W trapezoidje pokazujucej, jo poměr wobłuka tśiśěga $ABC$ k wobłuku tśiśěga $ADC$ $7:3$. Jolic $AB + CD = 210$ cm, kak dłujki jo segment... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Clayton hraje basketball na skupinje. Wón je hižo tři hry hrał. W prěnim hře wudoby 10 dypkow. W druhej hře wudoby 14 dypkow. W třećim h... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli su korjenje kwadrata $7x^2+3x+k$ $\\frac{-3\\pm i\\sqrt{299}}{14}$, što je $k$?"
},
{
"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> Graphy wurownanjow\n$y=k, \\qquad y=\\sqrt{3}x+2k, \\qquad y=-\\sqrt{3}x+2k,$\nsu w koordinatnej płoninje za $k=-10,-9,-8,\\ldots,9,10.\... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Gaž jo wódańska tšašyna $30\\%$ połna, wóna wopśimujo 27 galonow mjenjej ako gaž jo $20\\%$ prózdnje. Wjele galonow wódy móžo ta tana wó... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli $y = \\displaystyle\\frac{1}{3x+1}$, što je hódnota $x$ hdyž $y = 1$?"
},
{
"role": "assistant",
"content": "Since $y=1... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Addilynn dźěše do nakupowanskeho wobchoda a kupi šěsć dołhosćow jejkow za wužiwanje w swojej domiznje. Po dwěmaj tydźenjomaj, wužiwaše p... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajće wupad w płoninje $3x - 4y + 5z = 30$, kotryž je najbliši k wupadej $(1,2,3).$"
},
{
"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> Namakaj wotkazyk linijow $9x-4y=6$ a $7x+y=17$. Wuprajće swoju wotmołwu jako porjadny par $(x,y)$."
},
{
"role": "assistant",
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jenny zběra pjenjeze za kupenje kólasa. Wóna ma 5 šalkow połnych kwartow. Kužda žerźka móžo 160 kwartow wześ. Jolic kólaso płaśi 180 dol... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Evaluěruj $\\left\\lfloor |{-34.1}|\\right\\rfloor$."
},
{
"role": "assistant",
"content": "We have $|{-34.1}| = 34.1$, so $... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A pruh swěcy wupadnyć přez dypk $A = (-3,9,11),$ wotbłyšćuje so na płoninu $x + y + z = 12$ na $B,$ a potom wupadnyć přez dypk $C = (3,5... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśirědowaś\n\\[\\begin{vmatrix} 1 & -3 & 3 \\\\ 0 & 5 & -1 \\\\ 4 & -2 & 1 \\end{vmatrix}.\\]"
},
{
"role": "assistant",
"co... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Clinton ma dwójcy tak wjele šyrokow w swójej šyrokowej ako pasy. Wón ma 2 wěcej pasow ako kóšulow a tuchylu ma 5 kóšulow. Kak wjele kóšu... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> James móžo nowy kompjuter za $600 kupiś a až do 6 lět trjebaś, abo kupi 2 wužytnych kompjuterow za $200 kuždego, kótarež kuždego 3 lěta ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Silwija co nowu gitaru online kupiś. Płaśizna gitaru ma pśiraźony retailowy płaśizny $1000. Guitar Center ma wósebny źěłowy źeń 15% pśed... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W grafice, $\\angle ABC$ a $\\angle ADB$ su kóžda prawy wótróžk. Dodatkne, $AC = 17.8$ jednotkow a $AD = 5$ jednotkow. Kak dołha je segm... |
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