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MathNet 2026 — Part 04 Question 7

Math Olympiad Vault · MathNet 2026 — Part 04

Question 7

Encontrar todas las soluciones enteras positivas de
$$
\frac{1}{a+b}+\frac{1}{b+c}+\frac{1}{c+a}+\frac{1}{a+b+c-2}=1
$$