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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 where I need to find the number of ways to draw 12 segments of equal l(...TRUNCATED)
false
75
10,245
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.38769033551216125(...TRUNCATED)
id_10
"A piecewise linear periodic function is defined by $f(x)=\\begin{cases}x&\\text{if }x\\in[-1,1)\\\\(...TRUNCATED)
259
70
"Okay, so I have this problem here about a piecewise linear periodic function f(x) and a parabola x (...TRUNCATED)
false
217
11,023
[0.011687257327139378,0.009412589482963085,0.696784257888794,0.6951311230659485,0.804405927658081,0.(...TRUNCATED)
id_7
"Let $k$ be real numbers such that the system $|25+20i-z|=5$ and $|z-4-k|=|z-3i-k|$ has exactly one (...TRUNCATED)
77
74
"Okay, so I have this problem here where I need to find all real numbers k such that the system of e(...TRUNCATED)
false
115
3,330
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.4234579801559448,(...TRUNCATED)
id_1
"On $\\triangle ABC$ points $A,D,E$, and $B$ lie that order on side $\\overline{AB}$ with $AD=4, DE=(...TRUNCATED)
588
588
"Alright, so I have this geometry problem here, and I need to find the area of a heptagon AFNBCEM. L(...TRUNCATED)
true
160
14,011
[0.011687257327139378,0.009412589482963085,0.7371581792831421,0.665410578250885,0.6834195256233215,0(...TRUNCATED)
id_21
"Let $A$ be the set of positive integer divisors of $2025$. Let $B$ be a randomly selected subset of(...TRUNCATED)
237
65393
"Okay, so I have this problem where I need to find the probability that a randomly selected nonempty(...TRUNCATED)
false
109
14,005
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.3956010639667511,(...TRUNCATED)
id_28
"Let $\\triangle ABC$ be a right triangle with $\\angle A = 90^\\circ$ and $BC = 38$. There exist po(...TRUNCATED)
104
266
"Okay, so I have this problem about a right triangle ABC with a right angle at A, and the hypotenuse(...TRUNCATED)
false
111
15,546
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.6884684562683105,(...TRUNCATED)
id_5
"An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the(...TRUNCATED)
504
504
"Alright, so I've got this problem about an isosceles trapezoid with an inscribed circle. The radius(...TRUNCATED)
true
103
3,336
[0.011687257327139378,0.009412589482963085,0.7648916244506836,0.7772998809814453,0.7620701193809509,(...TRUNCATED)
id_10
"A piecewise linear periodic function is defined by $f(x)=\\begin{cases}x&\\text{if }x\\in[-1,1)\\\\(...TRUNCATED)
259
0
"Okay, so I have this problem here where I need to find the sum of the y-coordinates where the parab(...TRUNCATED)
false
217
16,129
[0.011687257327139378,0.009412589482963085,0.696784257888794,0.6951311230659485,0.804405927658081,0.(...TRUNCATED)
id_0
Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$.
70
70
"Alright, so I've got this problem here: I need to find the sum of all integer bases \\( b > 9 \\) f(...TRUNCATED)
true
50
11,098
[0.011687257327139378,0.009412589482963085,0.7416740655899048,0.6242935061454773,0.512143611907959,0(...TRUNCATED)
id_12
"Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center(...TRUNCATED)
204
119
"Alright, so I have this problem where Alex divides a disk into four quadrants with two perpendicula(...TRUNCATED)
false
96
13,214
[0.011687257327139378,0.009412589482963085,0.8397339582443237,0.7114308476448059,0.6584175229072571,(...TRUNCATED)
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