Number Theory
Geometry
Probability
Algebra
Misc
100
What is the least value of n such that n! is a multiple of 2024?
23
100
what is the area of a sphere with radius 1?
4/3 pi
100
Find the sum of the answers of x+x+x=x^3
0
200
The least common multiple of a positive integer n and 18 is 180, and the greatest common divisor of n and 45 is 15. What is n?
60
200
Square ABCD has side lengths 1. Points P, Q, R, S each lie on a side of ABCD such that APQCRS is an equilateral convex hexagon with side length s. What is s?
2-sqrt(2)
200
Each of two boxes contains three chips numbered 
, 
, 
. A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even?
5/9
300
What is arcsin(sin(4pi/3))
-pi/3
300
sqrt(a+sqrt(a+sqrt(a))) = 128
find floor(a)
16256
400
3^32-2^32 has four factors under 100. Find them
5,13,17,97
500
What is the area of a right triangle whose hypotenuse is 10 and altitude to the hypotenuse is 6?
Triangle Does Not Exist!
500
Eight people are sitting around a circular table, each holding a fair coin. All eight people flip their coins and those who flip heads stand while those who flip tails remain seated. What is the probability that no two adjacent people will stand?
47/256