messages listlengths 3 3 | topic stringclasses 1
value | subtopic stringclasses 18
values |
|---|---|---|
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{1}{1}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2}{1}$."
},
{
"role": "assistant",
"content": "$2$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8}{2}$."
},
{
"role": "assistant",
"content": "$28$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{23}{17}$."
},
{
"role": "assistant",
"content": "$100947$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{24}{8}$."
},
{
"role": "assistant",
"content": "$735471$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{402}{400}$."
},
{
"role": "assistant",
"content": "$80601$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4676}{4676}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{9077}{9076}$."
},
{
"role": "assistant",
"content": "$9077$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3420}{3419}$."
},
{
"role": "assistant",
"content": "$3420$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{919}{917}$."
},
{
"role": "assistant",
"content": "$421821$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{\\frac{10791}{2}}{\\frac{10791}{2}}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3265}{3265}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{9252}{9251}$."
},
{
"role": "assistant",
"content": "$9252$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4529}{4529}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8140}{8139}$."
},
{
"role": "assistant",
"content": "$8140$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{672}{672}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7514}{7513}$."
},
{
"role": "assistant",
"content": "$7514$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7556}{7555}$."
},
{
"role": "assistant",
"content": "$7556$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4421}{4420}$."
},
{
"role": "assistant",
"content": "$4421$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4878}{4877}$."
},
{
"role": "assistant",
"content": "$4878$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8107}{8106}$."
},
{
"role": "assistant",
"content": "$8107$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2288}{2287}$."
},
{
"role": "assistant",
"content": "$2288$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{5280}{5279}$."
},
{
"role": "assistant",
"content": "$5280$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2976}{2974}$."
},
{
"role": "assistant",
"content": "$4426800$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3100}{3099}$."
},
{
"role": "assistant",
"content": "$3100$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8665}{8665}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{43}{39}$."
},
{
"role": "assistant",
"content": "$123410$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{1323}{1321}$."
},
{
"role": "assistant",
"content": "$874503$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{6351}{6350}$."
},
{
"role": "assistant",
"content": "$6351$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{396}{395}$."
},
{
"role": "assistant",
"content": "$396$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3276}{3275}$."
},
{
"role": "assistant",
"content": "$3276$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2749}{2747}$."
},
{
"role": "assistant",
"content": "$3777126$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{505}{503}$."
},
{
"role": "assistant",
"content": "$127260$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7517}{7516}$."
},
{
"role": "assistant",
"content": "$7517$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{6742}{6742}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2185}{2185}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8756}{8755}$."
},
{
"role": "assistant",
"content": "$8756$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{106}{105}$."
},
{
"role": "assistant",
"content": "$106$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{9565}{9564}$."
},
{
"role": "assistant",
"content": "$9565$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{578}{577}$."
},
{
"role": "assistant",
"content": "$578$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{1371}{1371}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{\\frac{14577}{2}}{\\frac{14577}{2}}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{1395}{1393}$."
},
{
"role": "assistant",
"content": "$972315$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{5001}{5000}$."
},
{
"role": "assistant",
"content": "$5001$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7962}{7961}$."
},
{
"role": "assistant",
"content": "$7962$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7939}{7938}$."
},
{
"role": "assistant",
"content": "$7939$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3282}{3282}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3456}{3455}$."
},
{
"role": "assistant",
"content": "$3456$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{288}{286}$."
},
{
"role": "assistant",
"content": "$41328$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8616}{8616}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4764}{4763}$."
},
{
"role": "assistant",
"content": "$4764$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{6189}{6188}$."
},
{
"role": "assistant",
"content": "$6189$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4456}{4455}$."
},
{
"role": "assistant",
"content": "$4456$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7424}{7423}$."
},
{
"role": "assistant",
"content": "$7424$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2266}{2264}$."
},
{
"role": "assistant",
"content": "$2566245$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{\\frac{7983}{2}}{\\frac{7981}{2}}$."
},
{
"role": "assistant",
"content": "$\\frac{7983}{2}$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{6752}{6751}$."
},
{
"role": "assistant",
"content": "$6752$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{507}{507}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3502}{3501}$."
},
{
"role": "assistant",
"content": "$3502$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{21}{14}$."
},
{
"role": "assistant",
"content": "$116280$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{1636}{1636}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8397}{8396}$."
},
{
"role": "assistant",
"content": "$8397$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{232}{232}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{1593}{1592}$."
},
{
"role": "assistant",
"content": "$1593$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{5584}{5583}$."
},
{
"role": "assistant",
"content": "$5584$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2702}{2700}$."
},
{
"role": "assistant",
"content": "$3649051$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{77}{77}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3137}{3135}$."
},
{
"role": "assistant",
"content": "$4918816$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{19}{9}$."
},
{
"role": "assistant",
"content": "$92378$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{19}{14}$."
},
{
"role": "assistant",
"content": "$11628$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{400}{398}$."
},
{
"role": "assistant",
"content": "$79800$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{720}{719}$."
},
{
"role": "assistant",
"content": "$720$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{459}{458}$."
},
{
"role": "assistant",
"content": "$459$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{797}{795}$."
},
{
"role": "assistant",
"content": "$317206$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4346}{4346}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{9605}{9604}$."
},
{
"role": "assistant",
"content": "$9605$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4425}{4424}$."
},
{
"role": "assistant",
"content": "$4425$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{3598}{3597}$."
},
{
"role": "assistant",
"content": "$3598$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4384}{4382}$."
},
{
"role": "assistant",
"content": "$9607536$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4910}{4910}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{\\frac{18721}{2}}{\\frac{18721}{2}}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{78}{78}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2391}{2390}$."
},
{
"role": "assistant",
"content": "$2391$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2586}{2585}$."
},
{
"role": "assistant",
"content": "$2586$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{10069}{10068}$."
},
{
"role": "assistant",
"content": "$10069$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7352}{7351}$."
},
{
"role": "assistant",
"content": "$7352$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{314}{311}$."
},
{
"role": "assistant",
"content": "$5110664$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{9523}{9523}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2471}{2469}$."
},
{
"role": "assistant",
"content": "$3051685$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{\\frac{10985}{3}}{\\frac{10982}{3}}$."
},
{
"role": "assistant",
"content": "$\\frac{10985}{3}$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{8489}{8488}$."
},
{
"role": "assistant",
"content": "$8489$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2867}{2866}$."
},
{
"role": "assistant",
"content": "$2867$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{177}{174}$."
},
{
"role": "assistant",
"content": "$908600$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4751}{4751}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{7263}{7262}$."
},
{
"role": "assistant",
"content": "$7263$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{9656}{9655}$."
},
{
"role": "assistant",
"content": "$9656$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{4609}{4609}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{5483}{5483}$."
},
{
"role": "assistant",
"content": "$1$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{2375}{2373}$."
},
{
"role": "assistant",
"content": "$2819125$"
}
] | counting_and_statistics | binomial_coefficients |
[
{
"role": "system",
"content": "You are a mathematics tutor. Answer the following math problem."
},
{
"role": "user",
"content": "Compute $\\binom{6630}{6629}$."
},
{
"role": "assistant",
"content": "$6630$"
}
] | counting_and_statistics | binomial_coefficients |
End of preview. Expand in Data Studio
Khan Math – Counting and Statistics
Counting and statistics problems from Khan Academy in ChatML format. Covers probability, combinatorics, distributions, and more.
Quick Start
from datasets import load_dataset
dataset = load_dataset("NecroMOnk/khan-math-counting_and_statistics")
print(dataset["train"][0])
Example record:
{
"messages": [
{"role": "system", "content": "You are a mathematics tutor. Answer the following math problem."},
{"role": "user", "content": "Find the arclength of the function $f(x) = \\log(2x)$ on the interval $x=4$ to $x=5$"},
{"role": "assistant", "content": "$-\\sqrt{17}+\\sqrt{26}+\\tanh^{-1}\\left(\\sqrt{17}\\right)-\\tanh^{-1}\\left(\\sqrt{26}\\right)$"}
],
"topic": "calculus",
"subtopic": "arclength"
}
Dataset Stats
- 595K problems
- ChatML format
- Source: Khan Academy counting and statistics materials
- Language: English
- Math notation: LaTeX
Fields
| Field | Type | Description |
|---|---|---|
messages |
list | ChatML turns: system, user, assistant |
topic |
string | Top-level math topic (e.g. calculus) |
subtopic |
string | Specific subtopic (e.g. arclength) |
Source
Problems sourced from Khan Academy via the AMPS dataset. Problems and answers are in LaTeX format.
Versions
- v1 – raw extraction, minor artifacts possible (e.g. degenerate intervals,
+-notation) - v2 – cleaned formulas, extraction artifacts removed (coming soon)
- Downloads last month
- 11