Algebra/Geo
Calculus
Mental Math
Theory
Misc.
100

The formula for the infinite sum of a geometric series with first term r and common ratio a

What is r / (1 - a)

100

The set of real numbers p such that the infinite series 1/n^p for n = 1, 2, 3, 4... converges.

What is p > 1?

100

The shortest sequence of values (possibly containing duplicates) from the set {1, 4, 5} that sum to 13

What is 4 + 4 + 5?

100

The area under the Normal probability density function from negative infinity to positive infinity

What is 1

100

The 11th Hardest Extreme Demon on the game "Geometry Dash"

What is "BOOMBAWAMBA"

200

The least integer n such that any expression of 10^n as the product of two integers will contain the digit '0'

What is 8

200

The purpose of Newton's Method

What is "approximating the zeroes of a real-valued function"

200

100102 + 6b16 = ?
Express your answer in octal (base 8).

What is 175?

200

The conjecture that there exist infinitely many primes that are within 2 numbers of another prime

what is the twin prime conjecture
200

This problem is a famous non-deterministic polynomial (NP) problem

A. Two Sum
B. The Halting Problem
C. Travelling Salesman Problem
D. Fast Fourier Transform

What is the Travelling Salesman Problem?

300

The number of ordered positive integers (M, N) that satisfy M/6 = 6/N

What is 9

300

Does the following limit exist, and if so, what is it?

(lim x -> inf)(1 + x(1 + sin(x))

What is "does not exist?"

300

3716 * 1816 = ?
Express your answer in decimal (base 10).

What is 1320?

300

The number of complex roots of the polynomial 36x^7 + 125x^6 - 92x^5 - 38x^4 + 49x^3 + 58x^2 - 123x + 69

What is 7

300

Which of these problems will you earn $1 million USD for solving?
A) The Collatz Conjecture
B) The Four Color Theorem
C) The Yang-Millis Existence and Mass Gap Problem
D) The Sunflower Conjecture

What is "The Yang-Millis Existence and Mass Gap Problem?"

400

1+1

What is 2?

400

Evaluate the derivative of the following function in terms of x: f(x) = sin(sqrt(e^x + pi) / 2)

What is (e^x cos(sqrt(e^x + pi) / 2))/4sqrt(e^x + pi) 

400

What is the largest prime factor of 3^8 - 1?

What is 41

400

The linear transformation that 1) transforms a vector space to a subset of the vector space and 2) applying twice sequentially is the same as applying once.

What is a projection? / What is the zero transformation?

400

The subjects that Mr. Cheng teaches

Calculus BC and Cambridge Pure Math III ( i think )

500
The sum of the positive divisors (including 1) of 9! that have units digit 1

What is 103

500

Evaluate the indefinite integral with variable of intergration x: pi * sin(sqrt(x)) * e^(sqrt(x)) / sqrt(x)

What is pi * (sin(sqrt(x)) - cos(sqrt(x))) * e^sqrt(x) + C?

500

The number of ways can I choose 7 distinct numbers from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} such that their sum is a multiple of 3

What is 12?

500

The object with the largest mass that we know of

What is "your mom"
500

The number of posts in #math-help in the Juanita Math Club Discord server

What is 28