CL-MO 2020 Problem 4

Determine all three integers $(x, y, z)$ that are solutions of the system $x + y -z = 6$ $x^3 + y^3 -z^3 = 414$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.