Algebra
Geometry
Number theory
Analysis
Other
100

Given that the square root of a number is the same as the number minus 2, the number.

What is 4?

100

The sum of a regular 17-gon written in degrees.

What is 2700?

100

2^99 modulo 3?

What is 2?

100

The value of the infinte sum from n=2 to infinity of 1 over (n^2-n).

What is 1?

100

Amount of digits of 24 factorial.

What is 24?

200

Given the polynomial 1+2x+3x^2+4x^3...+100x^99, the product of all ist roots.

What is -0.99?

200

The area of a koch snowflake in terms of the first triangle.

What is 1.6?

200

The 4th power of any prime bigger than 3, is always 1 bigger than a multiple of some natural number x, the largest possible value for x.

What is 48?

200

If the derivative of a function f is f+1, and f(0) is 1, the function.

What is 2e^x-1?

200

The name of the function indicating the amount of permutaions without fixed Points.

What is the subfactorial?

300
The order of the alternating permutation group on n symbols divided by the one of the permutation Group on n symbols.

What is 0.5?

300

The exact value of the sine of 37.5 degrees? 

What is sqrt(2-sqrt(2-sqrt(3)))/2?

300

The amount of trailing zeros of the product of the first 100 factorials.

What is 1124?

300

The reflection formulae for the gamma function.

What is Gamma(x)Gamma(1-x) is pi over the sine of (pi times x)?

300

Given n balls and a scale which one can weight any amount of balls against any other amount of balls. If 1 ball is heavier than all the others, the minimum amount of times in terms of n, balls have to be weighted to deduce which ball is heaviest, no matter which ball is.

What is 1 plus the floor of n/6?

400
A category in which hom forms a set.

What is a locally small category?

400

The fundamental Group of a wedge sum of two path connected topological spaces is isomorphic to.

What is the free product of their fundamental groups'

400

The last 2 non zero digits of 2020 factorial.

What is 12?

400
A subset of the real numbers, who's power set is bijective to a set of the smallest infinite cardinality.
What is the natural or integers or rationals?
400
A formula without strict subformulas.

What is an atom?

500

The coproduct in the category of commutative rings.

What is the tensor product?
500

The volume of a 9 dimensional sphere of radius 1.

What is pi to the 4th power times 16 over 105?

500
The exact probability of 4 numbers being coprime?

What is 90 over pi to the 4th?

500

The formulae for the Riemann zeta function at positive even values 2n.

What is -1 to the power of n+1 times 2pi to the power of 2n times the 2nth Bernoulli number over (2 times 2n factorial)?

500

A walk with no edges that are reapeted.

What is a trail?