DE-MO 2022 Problem 4

Determine all $6$ -tuples $(x,y,z,u,v,w)$ of integers satisfying the equation $x^3+7y^3+49z^3=2u^3+14v^3+98w^3.$

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.