New posts in Problem Solving

When are eight integers entirely determined by their pairwise sums?

Find all the integer pairs $(x, y)$ which satisfy the equation $x^5-y^5=16xy$

Solve $x^5 - 1 = y^2$ for integer values of $(x,y)$ .

$3^{123} \mod 100$

Given that $f(x)$ is a polynomial of degree $3$, and its remainders are $2x - 5$ and $-3x + 4$ when divided by $x^2 - 1$ and $x^2 - 4$ respectively.

If the largest positive integer is n such that $\sqrt{n - 100} + \sqrt{n + 100}$ is a rational no. , find the value of $\sqrt{n - 1}$ .

Show that the polynomial $x^{8}-x^{7}+x^{2}-x+15$ has no real root.

What is the size of each side of the square?

What is the optimal number of dice to roll a Yahtzee in one roll?

Monty Hall Analogue