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id_10
"A piecewise linear periodic function is defined by $f(x)=\\begin{cases}x&\\text{if }x\\in[-1,1)\\\\(...TRUNCATED)
259
"Alright, so I have this problem here where I need to find the sum of the y-coordinates where the pa(...TRUNCATED)
false
217
16,384
[0.012243825942277908,0.01114076841622591,0.4716877341270447,0.19912244379520416,0.4030868709087372,(...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
77
"Alright, so I have this problem where I need to find the sum of all possible values of \\( k \\) su(...TRUNCATED)
true
115
2,813
[0.012244724668562412,0.01114076841622591,0.30979329347610474,0.1960209310054779,0.10019126534461975(...TRUNCATED)
id_14
"Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c\\leq3^(...TRUNCATED)
735
177147
"Okay, so I have this problem here where I need to find the number of ordered triples (a, b, c) of p(...TRUNCATED)
false
87
14,955
[0.012243825942277908,0.01114076841622591,0.3085706830024719,0.1960209310054779,0.22265857458114624,(...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
393
"Okay, so I have this problem here: Given a regular 24-gon, with its vertices labeled S. I need to f(...TRUNCATED)
false
75
7,949
[0.012244724668562412,0.01114076841622591,0.30979329347610474,0.1960209310054779,0.18947266042232513(...TRUNCATED)
id_23
"There are $n$ values of $x$ in the interval $0 < x < 2\\pi$ where $f(x) = \\sin\\left(7\\pi \\cdot (...TRUNCATED)
149
159
"Okay, so I have this problem here: I need to find n, which is the number of values of x between 0 a(...TRUNCATED)
false
109
7,153
[0.012243825942277908,0.011140073649585247,0.3296613097190857,0.2077709436416626,0.1898527592420578,(...TRUNCATED)
id_13
"Let $ABCDE$ be a convex pentagon with $AB=14, BC=7, CD=24, DE=13, EA=26,$ and $\\angle B=\\angle E=(...TRUNCATED)
60
"Alright, so I have this problem about a convex pentagon with some given side lengths and two angles(...TRUNCATED)
false
145
16,384
[0.012243825942277908,0.01114076841622591,0.3085706830024719,0.1960209310054779,0.25175347924232483,(...TRUNCATED)
id_23
"There are $n$ values of $x$ in the interval $0 < x < 2\\pi$ where $f(x) = \\sin\\left(7\\pi \\cdot (...TRUNCATED)
149
"Okay, so I have this problem here: I need to find the number of values of x in the interval (0, 2π(...TRUNCATED)
false
109
16,384
[0.012243825942277908,0.01114076841622591,0.3296613097190857,0.20800763368606567,0.1898527592420578,(...TRUNCATED)
id_11
"The set of points in 3-dimensional coordinate space that lie in the plane $x+y+z=75$ whose coordina(...TRUNCATED)
510
"Okay, so I have this problem about points in 3D space that lie in the plane x + y + z = 75. The poi(...TRUNCATED)
false
124
16,383
[0.012243825942277908,0.01114076841622591,0.4539562165737152,0.36225491762161255,0.2798595428466797,(...TRUNCATED)
id_22
"From an unlimited supply of $1$-cent coins, $10$-cent coins, and $25$-cent coins, Silas wants to fi(...TRUNCATED)
610
"Okay, so I need to figure out how many values of N between 1 and 1000 inclusive have the property t(...TRUNCATED)
false
311
16,384
[0.012243825942277908,0.01114076841622591,0.367828369140625,0.4119204580783844,0.438589870929718,0.3(...TRUNCATED)
id_11
"The set of points in 3-dimensional coordinate space that lie in the plane $x+y+z=75$ whose coordina(...TRUNCATED)
510
"Okay, so I have this problem in 3-dimensional coordinate space. The set of points that lie in the p(...TRUNCATED)
false
124
16,384
[0.012243825942277908,0.01114076841622591,0.4539562165737152,0.36225491762161255,0.2798595428466797,(...TRUNCATED)
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