VMO 2010 Problem 1

Solve the system equations

$\left\{\begin{array}{cc}x^{4}-y^{4}=240x^{3}-2y^{3}=3(x^{2}-4y^{2})-4(x-8y)\end{array}\right.$

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.