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id_14
"Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^(...TRUNCATED)
735
147
"Alright, so I have this problem where I need to find the number of ordered triples (a, b, c) such t(...TRUNCATED)
false
87
13,501
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.4940188527107239,(...TRUNCATED)
id_25
"Let $S$ be the set of vertices of a regular $24$-gon. Find the number of ways to draw $12$ segments(...TRUNCATED)
113
"Okay, so I have this problem here: There's a regular 24-gon, and I need to find the number of ways (...TRUNCATED)
false
75
16,384
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.38769033551216125(...TRUNCATED)
id_3
"Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $1(...TRUNCATED)
117
117
"Okay, so I need to find the number of ordered pairs (x, y) where both x and y are integers between (...TRUNCATED)
true
74
5,634
[0.011687257327139378,0.009412589482963085,0.7416740655899048,0.6242935061454773,0.5869964361190796,(...TRUNCATED)
id_26
"Let $A_1 A_2 A_3 \\ldots A_{11}$ be an $11$-sided non-convex simple polygon with the following prop(...TRUNCATED)
19
"Alright, so I have this problem about a 11-sided non-convex simple polygon. It's labeled A1 A2 A3 .(...TRUNCATED)
false
278
16,382
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.3956010639667511,(...TRUNCATED)
id_21
"Let $A$ be the set of positive integer divisors of $2025$. Let $B$ be a randomly selected subset of(...TRUNCATED)
237
216
"Alright, so I have this problem here where I need to find the probability that a randomly selected (...TRUNCATED)
false
109
14,865
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.3956010639667511,(...TRUNCATED)
id_2
"The 9 members of a baseball team went to an ice cream parlor after their game. Each player had a si(...TRUNCATED)
16
16
"Okay, so I've got this problem here about assigning ice cream flavors to baseball team members. The(...TRUNCATED)
true
129
4,295
[0.011687257327139378,0.009412589482963085,0.7476159334182739,0.5688949227333069,0.5869964361190796,(...TRUNCATED)
id_0
Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.
70
49
"Okay, so I have this problem: I need to find the sum of all integer bases \\( b > 9 \\) for which \(...TRUNCATED)
false
50
12,608
[0.011687257327139378,0.009412589482963085,0.7416740655899048,0.6242935061454773,0.512143611907959,0(...TRUNCATED)
id_16
Find the sum of all positive integers $n$ such that $n+2$ divides the product $3(n+3)(n^2+9)$.
49
49
"Okay, so I have this problem here: Find the sum of all positive integers \\( n \\) such that \\( n (...TRUNCATED)
true
52
2,748
[0.011687257327139378,0.009412589482963085,0.7416740655899048,0.6242935061454773,0.512143611907959,0(...TRUNCATED)
id_25
"Let $S$ be the set of vertices of a regular $24$-gon. Find the number of ways to draw $12$ segments(...TRUNCATED)
113
12
"Okay, so I have this problem: I need to find the number of ways to draw 12 segments of equal length(...TRUNCATED)
false
75
4,484
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.38769033551216125(...TRUNCATED)
id_28
"Let $\\triangle ABC$ be a right triangle with $\\angle A = 90^\\circ$ and $BC = 38$. There exist po(...TRUNCATED)
104
196
"Okay, so I've got this problem here about a right triangle ABC with a right angle at A. The hypoten(...TRUNCATED)
false
111
15,267
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.6884684562683105,(...TRUNCATED)
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