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MathNet 2026 — Part 03 Question 148

Math Olympiad Vault · MathNet 2026 — Part 03

Question 148

The positive integers $x, y, z$ meet $$
x+2 y=z, \quad x^{2}-4 y^{2}+z^{2}=310
$$ finds all possible values of the $x y z$ product.