KöMaL 2020 A788

Solve the following system of equations: $x+\frac1{x^3}=2y, y+\frac1{y^3}=2z, z+\frac1{z^3}=2w, w+\frac1{w^3}=2x.$

Official text KöMaL. 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.