List questions from contest-math | MathQa

$\sum_{k=0}^n {n \choose k} ^{2} = {2n \choose n}$ - Generating function $\sum_{k=0}^\infty \binom nk x^k = (1+x)^n$.

Published on 12 Jan 2025 - 19:11

Which perfect squares can be written as the sum of two squares?

Published on 29 Dec 2024 - 22:20

LCM Challenge Range Query

Published on 12 Jan 2025 - 17:52

Maximizing $\sin \beta \cos \beta + \sin \alpha \cos \alpha - \sin \alpha \sin \beta$

Published on 29 Dec 2024 - 9:08

Roots of a polynomial that is composed n times with itself

Published on 07 Jan 2025 - 5:29

Which coefficient is greater?

Published on 12 Jan 2025 - 18:22

Determine the maximum GCD

Published on 12 Jan 2025 - 17:52

For how many integers $a$ does this equation have three solutions?

Published on 01 Jan 2025 - 17:15

How many numbers less than $1000$ with digit sum to $11$ and divisible by $11$

Published on 27 Dec 2024 - 13:46

How many solutions to the rational equation?

Published on 02 Jan 2025 - 6:25