messages listlengths 2 2 |
|---|
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Rodney je wotduri do domu poskićowar, kiž spyta domjacy systemy za wobchowanje domow předać. Wón dóstanje komisiju $25 za kóždu systemu,... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W štrusowatej kónčinje pod nim, wšitke kónčiny, kotrež so kaž prawe kónčiny widźa, su prawe kónčiny, a kóžda z wosom kongruentnych stron... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Prjedy hač James startuje ćělnu fazy trenowanja swojeho kolesa ma mocničowanje cyłkownje 2200 funtow při wěži 245 funtow. Wón zdźěła 15%... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A 6 cm na 8 cm rectangul je inskribowany do kuli. Kajki je ličba centimetrow w wobwodźe kula? Wužiwajće $\\pi$ w swojim wotmołwje. [asy]... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> James twari wójnski wójak Warhammer 40k figuriny. Wótnjaseń jo 20 minutow na pisanje prodrustwa a 70 minutow na pisanje dreadnoughta. Jo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Keanuje motorowe koleso móže 8 litrow benzina składować. Jeli je jeho wotdźěłanje 280 milow zdalene a jeho motorowe koleso wotžerje 8 li... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tyrone wuprózdni swój pjenježnik a namaka dwě $1 papjerce, $5 papjerku, 13 kwartow, 20 dimitow, 8 nickelow a 35 pjenjez. Kak wjele pjenj... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Tśo pśijaśele su se dojadnali, płaśiś jadnak wěstu sumu za kupjenje 5 kóšow chipsow. Jolic kóńcne płaśe $5, kak wjele płaśi kužda mała k... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jedne tydźeń, trjeba Kitty 5 mjeńšinow, zo by hrajki wuzamknyła a žiwidło zrumowała. Trjeba druhe 20 mjeńšinow, žehlić žiwjensku łuku, s... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kwadrat $ABCD$ je połoženy na promjenju $AB$ semikula, kaž pokaza. Semikružka a kwadrat $ABCD$ su koplanarne. Linijowa směr $AB$ ma dołh... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Suzanne co pjenjeze za caritu zběraś pśez běganje 5-kilometroweje drogi. Jeje starjejšej stej pśisegnułej, daniž $10 za prědnu kilometru... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajće najwjetšu hódnotu\n\\[\\frac{x + 2y + 3}{\\sqrt{x^2 + y^2 + 1}}\\]nad wšitkimi realnymi ličbami $x$ a $y.$"
},
{
"role... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $f_{1}(x)=\\sqrt{1-x}$, a za cyłobrojničce $n \\geq 2$, daj \\[f_{n}(x)=f_{n-1}\\left(\\sqrt{n^2 - x}\\right).\\]Daj $N$ być najwjet... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A zoo ma 21 pinguinow a dwójcy tak wjele pólarowych wopacow? Kak wjele zwěrjetow maśo?"
},
{
"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> W pšawem trojniku $PQR$, mamy $\\angle Q = \\angle R$ a $PR = 6\\sqrt{2}$. Co jo pśestrěńka $\\triangle PQR$?"
},
{
"role": "ass... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $a$ a $b$ byś pozitiwne realne licby. Namakajśo wužytkowy gódnotu\n\\[2(a - x)(x + \\sqrt{x^2 + b^2})\\]w termach $a$ a $b.$"
},... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Factorizěrowaś: $x^6 - 3x^4 + 3x^2 - 1$."
},
{
"role": "assistant",
"content": "Note that $x^6 - 3x^4 + 3x^2 - 1$ is very si... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A piramida z wobswěśeju 40 kubikowych incow ma pšawidłownu bazu. Jolic dłujkosć baze se dwójcy pśirownowa, šyroke póśěženje se tśi raze ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Farar Brown dźěše 7 kokošow a 5 wowcow. Kelko cyłkownych nohow bě na zwěrjata, kotrež jědźeše?"
},
{
"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> John dostanjo 2 šoty gódne 2 dypki a 1 šota gódne 3 dypki kužde 4 minuty. Wón grajo za 2 periody. Kužde periodum jo 12 minutow. Kak wjel... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Hdyž $x$ poćahuje so přez wšitke realne čisła, namakaš wobłuk\n\\[f(x) = \\sin^4 x + \\cos ^2 x.\\]Zapisaj swoje wotmołwu w intervalowej... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A partikla se póśěgajo tak až jo na $(2t + 7, 4t - 13)$ na casu $t.$ Namakajśo śěžy póśěg, měrjony w jednotkach drogi na jednotku casa.... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A šalka šesć popiskow je wostała w swětle a je pomału tajeć. Kóždeho razu, hdyž popisk so zymni, wostajene popiski so dwójce spěšnišo zy... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Šesć 6-wobroćanych kórtkow so wotkryja. Kajka je šansa, zo je ličba kuličkow pokazaćow parnych čisłow a ličba kuličkow pokazaćow njeparn... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Barry, Thomas a Emmanuel maju źěliś šalku 200 jelly beans. Jolic Tom wzejo 10%, a Barry a Emmanuel maju wóstanuśe rozdźěliś w poměrje 4:... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Theo móže 13 koškow jěsć, 3 króć na dźeń, 20 dnjow kóžde měsaca. Kelko šalkow móže wón w 3 měsacach jěsć?"
},
{
"role": "assista... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli je štyri razy tak wjele jabłukow hač oranžow w wotpowědnej sadowej tobołce a tobołka ma 15 jabłukow, kelko jědźow by Emiliano jědł,... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jake se rozsuźijo, póchadaś na pśibrjog za wjasele. To jo 2-góźinu jězdźe kuždy źeń. Wón pótom wósta 2.5 razow na dłujko na pśibrjogu ak... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Matematiske prašenja w konkurency so do třoch kruhow podźěleja: lochke, srědne, a ćežke. Su wotpowědne dypki podate za kóždu kołojězdźbu... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Antonio přihotuje jědź z spaghetti a kórkami za swoju swójbu. Jeho recept za mjasowe kołbaski žada 1/8 funta hamburgera na jednoho mjaso... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Simplifikuj $(9 \\times 10^8) \\div (3 \\times 10^3)$. 1"
},
{
"role": "assistant",
"content": "We use the fact that divisio... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $C$ byś koło z wónoju $x^2+2y-9=-y^2+18x+9$. Jolic $(a,b)$ jo srjejźišćo $C$ a $r$ jo jeje radijus, co jo gódnota $a+b+r$?"
},
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kelko z cyłobrojkow mjez 1 a 1000, inklusiwne, móže so jako rozdźěl kwadratow njepozitiwnych cyłobrojkow zwuraznić?"
},
{
"role"... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Mara ma 12 kóšow z 2 kulkami w kuždej kóšy. Markus ma 2 kóšy z 13 kulkami w kuždej kóšy. Wjele wěcej marlow ma Markus?"
},
{
"ro... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Co jo poł absoluteje gódnoty rozdźěla kwadratow 18 a 16?"
},
{
"role": "assistant",
"content": "$$\\frac{18^2-16^2}{2}=\\fra... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pisaj $\\frac{5}{8}$ jako deklinatu."
},
{
"role": "assistant",
"content": "Multiplying both the numerator and denominator i... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $x$ a $y$ byś kompleksne licby tak až\n\\[\\frac{x + y}{x - y} + \\frac{x - y}{x + y} = 1.\\]Namakajśo\n\\[\\frac{x^4 + y^4}{x^4 -... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakajśo pśestrěńku romba $ABCD$ danoju, až su radijowy kśiwule wobtwarjone wokoło tśiśěgow $ABD$ a $ACD$ $12.5$ a $25$ rozdźělne."
}... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Rozrisaj za $x$:\n\n$$x^2 + 4x + 3 = -(x + 3)(x + 5).$$"
},
{
"role": "assistant",
"content": "Expanding the product on the ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Je 19 šulerjow w 3. lětniku a dwójce tuteje ličby w 4. lětniku. Je 10 hólčkow a 19 holcow w 2. lětniku. Kelko šulerjow je w cyłku?"
},... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Amandine car trajo pěś mjenjej minutow za kóńc śěga k pśibrjogu ako bus. Jolic bus trajo 40 minutow, aby 80 milow k pśibrjogu jěł, kak m... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jo nejmańšy pozitiwny realny licba $a$ tak, až eksistěrujo pozitiwna realna licba $b$ tak, až wšykne kórjenje pólěńca $x^3-ax^2+bx-a$ su... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Cameron jězdźi dwójcy śěžej wóń do swójeje bratšy, Chase. Ale Danielle jězdźi tśi raze spěšnjej ako Cameron. Jolic trajo Danielle 30 min... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kóždy dźeń, Bob loguje 10 hodźin dźěła w swojim běrowje. Jeli dźěła za pjeć dnjow na tydźeń, wužiwajće cyłkowne ličby hodźiny, kotrež w ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A prawy, kóncowy pryzm je tři płoniny z wobłukami $6,8$ a $12$ kwadratnych injčow. Kajki je wobjim pryzmy, w kubikach inčow?"
},
{
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Za pozitiwne ceble $p$, definěrujśo pozitiwne ceble $n$ ako $p$-safe, jolic $n$ se wót wótstawk wót wěcej ako $2$ wót wšych množenjow $p... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Anthony dźerži škleńcu kisałeje winy w swojim šupje 2 lěta. Kóžde lěto 20% jabłukoweje kisaliny wotparja. Kajki procent wina je po 2 lět... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśedpołožćo, až mam 6 suknjow, 4 kóšulow a 3 parje spódnjow. Jolic wubranje trjeba kóšulu a spódnje, a móžo abo ma kóšulu abo nic, kak w... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśeśěg poł funta mangoow płaśi $0.60. Wjele funtow móžo Kelly kupiś z $12?"
},
{
"role": "assistant",
"content": "One pound ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jolic $\\mathbf{A} = \\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix},$ pón jo jeje transponěrowana data\n\\[\\mathbf{A}^T = \\begin{pma... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> John kupi 3 rozdźělnych lódow. Prěnje je 100 litrow. Druha je 50% wjetša hač ta a třeća je poł wobjima druheje. Kak wjele cyłeho wody mó... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Susan co swěśiś swěźeń za swóju mamu. Wóna planujo na měś 30 gósći. Za wjacerju wóna gótujo recept, kótaryž dajo 2 porcije kuždego. Kužd... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A pěstowarnja ma 2 pčołki a někotrych kóčkow. A pjezda płaći $20, a kóčka płaći $15. Hdyž je šćětko hódne $100, kelko kóčkow ma pěstowar... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Milena jo 7 lět stara, a jeje starej maśeri jo 9 razow starša nježli wóna. Mileniny stary nan jo dwě lěśe staršy ako jeje stare maś. Co ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Lucy słyša swóju nejlubšu albumu wótergi skokaśo. Wóna móžo kóśe 1 raz na sekundu skokaś. Jolic albumowe spiwy su wšykne 3.5 minutow dłu... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Linija $y=-\\frac{3}{4}x+9$ kroči na $x$-wótrězk při $P$ a na $y$-wótrězk při $Q$. Punkt $T(r,s)$ je na čarje $PQ$. Jeli je wobłuk $\\tr... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Graph $y=ax^2+bx+c$ je podany, hdźež $a$, $b$ a $c$ su cyfry. Namakaj $a-b+c$. [asy]\nsize(150);\n\nLabel f;\n\nf.p=fontsize(4);\n\nxaxi... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $f(x) = \\sin{x} + 2\\cos{x} + 3\\tan{x}$, wužiwajcy radianowe měritko za wariabelu $x$. Daj $r$ być najmjeńši pozitiwny hódnotu $x$... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Teddy ma 7 psow a 8 kóčkow. Ben ma 9 wjace psow hač Teddy, a Dave ma 13 wjace kóčkow a 5 mjenje psow hač Teddy. Kak wjele psykow ma wšit... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W domje 15, 3/5 ludźi jě pizza. Hdyž je Aviana přinjesła pizołu z 50 kuskami, a kóžda wosoba jědźe pizołu wza 4 kuskow, wuzamkńće ličbu ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Olaf ma akwarij. Wón ma ryby w 3 rozdźělnych barbach: oranž, zelena a módra. Módre ryby tworja połu wšitkich rybow w akwariju. Je 15 mje... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pśedawana płaśizna kólasa, kótarež jo płaśiło za $220 lětosa, jo pówušona z 15%. Co jo nowa płaśizna?"
},
{
"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 so wěžka 12 milow na póndźelu, 18 milow na wutoru a 21 milow na srjedu jězdźi. Kajki je přerěznje wotstawk po dźeńje wotjědźe?"
}... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Stephen jězdźi na swojim kolesu do cyrkwje. W času prěnjeho třećiny swojeho puća, wón jězdźi z spěšnosću 16 milow na hodźinu. W druhim t... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeremy słyšeše pjeć mjenje spěwow wčera hač dźensa. Wčera, wón słyšeše dźewjeć spěwow. Kelko spěwow słyšeše Jeremy w dwěmaj dnjomaj?"
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Što je najwjetši zhromadny faktor 252 a 96?"
},
{
"role": "assistant",
"content": "To find the greatest common factor of 252... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jessica dźěła w pječerni, a kóžde dźeń twari 30 křidłow, kotrež kóždeho wužiwaja $\\frac16$ šalki muki. Jednoho dnja, wona rozsudźi, zo ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Abby twari 2 wušikane łuki, zo by zeleninu rosć dała. Płoty su wobě 8 stopjow dołhej, 4 stopje šěrokej a 1 stopje wysokej. Kóžda maćizno... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jeli $g(x) = 2x^2+2x-1$, što je hódnota $g(g(2))$?"
},
{
"role": "assistant",
"content": "We have $g(2) = 2(2^2) + 2(2) - 1 ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $f : \\mathbb{R} \\to \\mathbb{R}$ być funkciji tak zo\n\\[f(xf(y) + x) = xy + f(x)\\]za wšitke $x,$ $y.$\n\nDaj $n$ być ličbje móžn... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $x,$ $y,$ a $z$ być pozitiwne realne ličby tak zo\n\\[\\frac{1}{x} + \\frac{1}{y} + \\frac{1}{z} = 6.\\]Namakaj minimalnu hódnotu $x... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kelko 0 je wuskočene na prawej stronje deklinaciskeho dypka a prjedy prěnjeho njezeroho čisła w zwobraznjenju zwobraznjeneje deklinacije... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Rozrisaj\n\\[\\arcsin (\\sin x) = \\frac{x}{2}.\\]Zapisaj wšitke rozrisanja, rozdźělene z komu."
},
{
"role": "assistant",
"... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kwadratowa wurownanjowa $ax^2 - 2ax + b = 0$ ma dwě realnej rozrisance. Što je přerěznje tutej rozrisanej?"
},
{
"role": "assist... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kóžde dźesać mjeńšinow w času zapada słónca, njebjo změni na nowy barbu. Kelko barbow so njebjo přez dwě hodźinje dołheho lětneho zapada... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Ekwilateralny tśirožk ma dwě wótkśice na $(0,5)$ a $(8,5)$. Jolic tśeśi wótkłód jo w prědnem kwadrantje, co jo y-coordinata? Wugroniś sw... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A kiddy gift shop pśedawa rědki kóšulki za $4 na kóńcu, kśiśidła za $5 na kóńcu, a barwjenje knigły za $3 na kóńcu. Paula a Olive kśě pś... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Namakaj najmjeńši zjawnu mnohotu 36 a 132."
},
{
"role": "assistant",
"content": "$36 = 2^2 \\cdot 3^2$ and $132 = 2^2 \\cdo... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Sumu kwadratow třoch sćěhowacych pozitiwnych cyłobrojkow je 7805. Kajki je sumu kubołćow trojich prěnjich cyłobrojenych čisłow?"
},
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Je 42 jabłukow w kratach. 12 krata jabłukow bu do fabrike doručene. 4 jabłuka běchu roztworjene a dyrbjachu so wotwróćić. Zbywace jabłuk... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Daj $u$ a $v$ być cyłkownym, kotrež spjelnja $0 < v < u$. Daj $A = (u,v)$, daj $B$ być wotrazy $A$ přez liniju $y = x$, daj $C$ być wotr... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Mary ma 3 razy wjace słodkosćow hač Megan. Mary potom přidawa 10 dźěći słodkosćow k swojej zběrce. Hdyž ma Megan 5 kuskow słodkosće, kel... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dawa $\\|\\mathbf{v}\\| = 4,$ namakaj $\\|-3 \\mathbf{v}\\|.$"
},
{
"role": "assistant",
"content": "Let $\\mathbf{v} = \\be... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Pózytiwne rozdźěl mjazy kórjenjami kwadratowego jadnanja $3x^2 - 7x - 8 = 0$ móžomy zapisowaś ako $\\frac{\\sqrt{m}}{n}$, źož $n$ jo cys... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A hólčko ma 12 oranžow. Wón dawa třećinu tuteje ličby swojemu bratřeju, jedna štwórćina wostańcy swojemu přećelej a wostaji zbytk za seb... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Utopia narodny park witaše 30,000 elefantow sobotu wječor. Dźeń pozdźišo bě 4-hodźinska eksodowu elefantow z parka, na stajny rate 2,880... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $\\bold{v} = \\begin{pmatrix} 5 \\\\ -3 \\end{pmatrix}$ a $\\bold{w} = \\begin{pmatrix} 11 \\\\ -2 \\end{pmatrix}$. Namakajśo pśes... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Jolic $a$ jo jadna stańska tak až $9x^2 + 24x + a$ jo kwadrat binoma, pón co $a$?"
},
{
"role": "assistant",
"content": "If ... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Baza tśi licba $12012_3$ jo rowna kótarej baze źaseś licbje?"
},
{
"role": "assistant",
"content": "$12012_3=1\\cdot3^4+2\\c... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A droga se rozšyrijo wót swójogo źinsajšnego dłujkosći 200 milow až do 650 milow. 50 milow su natwarjone na prědnem dnju, a tśi raze toś... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Celowe gódnoty sumy a produktoweje Elwijeje starstwa a Arielleje starstwa su 131. Jolic Elwije starstwo jo 10, kak stara jo Arielle?"
... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> A rybaŕ wótrějo 3 typy rybow w swójom ryśe. Było jo 32 bassow, 1/4 tak wjele truty ako bassow, a dwójcy licbu módrych gillow ako bassow.... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Ligatory płaśe $1.75 kuždego na pśedpismje, abo $5.00 na pak dwanasćo na Amazon. Wjele by Amanda zepěrała, gaž kupujo 24 wótpadankow onl... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $a,$ $b,$ $c$ byś rozdźělne realne licby tak až\n\\[\\frac{a}{b - c} + \\frac{b}{c - a} + \\frac{c}{a - b} = 0.\\]Namakajśo wšykne... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo \\[f(x) =\n\\begin{cases}\n9x+16 &\\text{gdyž }x<2, \\\\\n2x-14&\\text{gdyž }x\\ge2.\n\\end{cases} \\end{cases}\n\\]Jolic $f(x)=-2... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> W kupje wolejbul, Lizzie móžeše 4 dypki skóncować. Nathalieje hódnoty su 3 wjace hač Lizzieje hódnoty a Aimeje hódnoty su dwójce hódnoty... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Kněni. Brynlee jo pśigódnośił płaśizny wótśěgajucych wěcow w swójom wobchodje z 20% pó tom až jo dała lokalny zastojnstwo małym wobchoda... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Po pućowanju 50 milow z taksi, Ann je płaćiznu $\\$120$ zapłaćiła. Měnjacej, zo je taksa płaćizna direktnje proporcionalna na wotstawk w... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Dajśo $S$ byś sumu wšyknych licbow $b$ za kótarež móžo se faktoraś pólěńk $x^2+bx+2008b$ pśez cysła. Pśirěduj $|S|$."
},
{
"role... |
[
{
"role": "user",
"content": "Answer this mathematical reasoning question. Place your final answer, using LateX when appropriate, in this format: <answer> answer </answer> Amanda jo měła 7 šalkow cukorow. Wóna jo dała 3 swójej sotšy. Pśiducy źeń, Amanda jo dobyła pjenjeze za pśizwólenje a jo kupiła drugu 30... |
End of preview. Expand in Data Studio
LT3 at WMT26 (Sorbian): reproduction datasets
Companion data repo for the LT3 (Ghent University) WMT26 Sorbian system-description paper.
It carries the datasets needed to reproduce the submitted systems that cannot be fetched
automatically from an online source. Auto-fetchable inputs are deliberately excluded:
dictionaries, the organizer train/dev/test distribution, and raw public corpora already pinned
in the companion repo's data/MANIFESTS/.
- Model weights: https://huggingface.co/TomMoeras/wmt26-lt3-sorbian
- Code / pipeline: https://github.com/TomMoeras/wmt26-lt3-sorbian
- Fetchers:
data/fetch_pools.py(pool) anddata/fetch_training_sets.py(training) in the code repo pull this dataset and verify every file's sha256 against the frozen manifests (data/pool_hashes.json,data/regeneration_recipe.json).
pool/: inference-time MT exemplar retrieval pool
The MT translation-memory pool used for fuzzy exemplar retrieval, in the per-direction
<src>_<tgt>.src / .tgt layout the inference stack expects. Consumed at inference time by
every FullStack system for fuzzy MT exemplar retrieval (k=3). Test-deduplicated: residual
test-source material is 0 in all six directions; the twelve files' sha256 match
pool_hashes.json exactly.
training/: synthetic / derived training sets
One subdirectory per regeneration_recipe.json entry (sha256-matched to the recipe). Consumed
during model training.
| dir | what | seed / generator | consumed by |
|---|---|---|---|
mt_fuzzy_compfz |
shipped MT training rows (1,069,344, real-only, 0/1 compfz) | src/data/{composition,build_training_set}.py over the real parallel corpus, top-1 fuzzy@real |
submitted systems (base MT) |
mr_messages |
MR training messages (28,147) | GSM8K (CC BY 4.0) + Hendrycks MATH (MIT), translated Sorbian question / English chain-of-thought | all systems (MR) |
Provenance and licenses
Generators are ported and documented in the code repo under training/generators/ and
data/regeneration_recipe.json; seed corpora and their licenses are enumerated in
data/MANIFESTS/. MR seeds are GSM8K (CC BY 4.0) and Hendrycks MATH (MIT). The MT training rows and the full (submission) pool derive from a mixture of
public Sorbian-German parallel corpora (OPUS, Leipzig CC BY-NC, WMT news-crawl research-use,
mtdata, and the WMT22 organizer MT parallel) plus model back-translation (the published pool
above carries the real parallel portion only); they are released here for
non-commercial research reproduction, inheriting the most restrictive terms of their sources
(non-commercial, attribution, research-use). Redistribution beyond research reproduction is not
granted.
Deliberately excluded
- Organizer competition data (TUM-NLP distribution: train / dev / test, and any test-set
derived rows). The
dev_foldandv10 training mixrecipe entries embed organizer dev rows in official eval formats and are therefore regenerate-only (rebuild with the code repo'sbuild_dev_fold.pyfrom the organizer distribution you fetch yourself). - GPL dictionary payloads (soblex / dsb-spell content and the BK-tree pickles derived from
them; the code repo's
setup.shbuilds those locally from the GPL sources). - SC/GC/QA synthetic and the failed QA official-format synth: not archived as single
files; regenerate via
training/generators/synth/per the recipe.
- Downloads last month
- 113