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id_6
"Let $P(n)=\\left(n-1^{3}\\right)\\left(n-2^{3}\\right) \\ldots\\left(n-40^{3}\\right)$ for positive(...TRUNCATED)
48
"Alright, so I've got this problem here: Let P(n) be the product (n - 1³)(n - 2³)...(n - 40³) for(...TRUNCATED)
false
113
16,384
[0.011331753805279732,0.009412589482963085,0.6610482335090637,0.622459352016449,0.39326852560043335,(...TRUNCATED)
id_2
"Compute the sum of all two-digit positive integers $x$ such that for all three-digit (base 10) posi(...TRUNCATED)
64
64
"Alright, so I've got this problem here where I need to compute the sum of all two-digit positive in(...TRUNCATED)
true
118
15,644
[0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.4593186378479004,(...TRUNCATED)
id_13
"Sally the snail sits on the $3 \\times 24$ lattice of points $(i, j)$ for all $1 \\leq i \\leq 3$ a(...TRUNCATED)
4096
408
"Alright, so I have this problem where Sally the snail is sitting on a 3x24 lattice of points. Each (...TRUNCATED)
false
122
11,352
[0.011331753805279732,0.009412589482963085,0.6306849718093872,0.8679338097572327,0.8418256044387817,(...TRUNCATED)
id_10
"Compute the number of ways to divide a $20 \\times 24$ rectangle into $4 \\times 5$ rectangles. (Ro(...TRUNCATED)
6
1
"Alright, so I have this problem here: I need to compute the number of ways to divide a 20×24 recta(...TRUNCATED)
false
56
10,603
[0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.5954925417900085,(...TRUNCATED)
id_10
"Compute the number of ways to divide a $20 \\times 24$ rectangle into $4 \\times 5$ rectangles. (Ro(...TRUNCATED)
6
0
"Alright, so I have this problem where I need to figure out how many ways there are to divide a 20 b(...TRUNCATED)
false
56
11,611
[0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.5954925417900085,(...TRUNCATED)
id_15
"In each cell of a $4 \\times 4$ grid, one of the two diagonals is drawn uniformly at random. Comput(...TRUNCATED)
\dfrac{1}{512}
1
"Okay, so I have this problem where I need to compute the probability that a randomly drawn set of d(...TRUNCATED)
false
75
13,874
[0.011331753805279732,0.009412589482963085,0.7386690378189087,0.6343168616294861,0.5817784070968628,(...TRUNCATED)
id_15
"In each cell of a $4 \\times 4$ grid, one of the two diagonals is drawn uniformly at random. Comput(...TRUNCATED)
\dfrac{1}{512}
\frac{1}{32768}
"Okay, so I have this problem here about a 4x4 grid where each cell has one of the two diagonals dra(...TRUNCATED)
false
75
13,424
[0.011331753805279732,0.009412589482963085,0.7386690378189087,0.6343168616294861,0.5817784070968628,(...TRUNCATED)
id_10
"Compute the number of ways to divide a $20 \\times 24$ rectangle into $4 \\times 5$ rectangles. (Ro(...TRUNCATED)
6
1
"Alright, so I have this problem where I need to figure out how many ways there are to divide a 20 b(...TRUNCATED)
false
56
11,162
[0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.5954925417900085,(...TRUNCATED)
id_26
"Let $A B C$ be an acute triangle. Let $D, E$, and $F$ be the feet of altitudes from $A, B$, and $C$(...TRUNCATED)
8\sqrt{11}
"Alright, so I have this geometry problem here, and I need to figure out the perimeter of triangle D(...TRUNCATED)
false
139
16,384
[0.011331753805279732,0.009412589482963085,0.6610482335090637,0.622459352016449,0.39466747641563416,(...TRUNCATED)
id_2
"Compute the sum of all two-digit positive integers $x$ such that for all three-digit (base 10) posi(...TRUNCATED)
64
64
"Okay, so I have this problem here where I need to compute the sum of all two-digit positive integer(...TRUNCATED)
true
118
14,211
[0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.4593186378479004,(...TRUNCATED)
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