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: 2

2023 Hong Kong Team Selection Test, Problem 4
Tags: algbera , TST
Let $x$, $y$, $z$ be real numbers such that $x+y+z \ne 0$. Find the minimum value of $\frac{|x|+|x+4y|+|y+7z|+2|z|}{|x+y+z|}$

2022-23 IOQM India, 6
Tags: algbera , IOQM
Let $a,b$ be positive integers satisfying $a^3-b^3-ab=25$. Find the largest possible value of $a^2+b^3$.