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

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Found problems: 1

2022 3rd Memorial "Aleksandar Blazhevski-Cane", P3

Find all triplets of positive integers $(x, y, z)$ such that $x^2 + y^2 + x + y + z = xyz + 1$. [i]Proposed by Viktor Simjanoski[/i]