This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 4

2015 Kyiv Math Festival, P1
Tags: solve equation , algebra
Solve equation $\sqrt{1+2x-xy}+\sqrt{1+2y-xy}=2.$

2013 China Northern MO, 5
Tags: solve equation , floor function , algebra
Find all non-integers $x$ such that $x+\frac{13}{x}=[x]+\frac{13}{[x]} . $where$[x]$ mean the greatest integer $n$ , where $n\leq x.$

1983 Bulgaria National Olympiad, Problem 5
Tags: solve equation , complex number , polynomial , algebra
Can the polynomials $x^{5}-x-1$ and $x^{2}+ax+b$ , where $a,b\in Q$, have common complex roots?

2003 JHMMC 8, 4
Tags: easy , very very easy , very easy , addition , elementary contest , solve equation
A number plus $4$ is $2003$. What is the number?