MEMO 2009 Problem 11

Find all pairs $(m$ , $n)$ of integers which satisfy the equation $(m + n)^4 = m^2n^2 + m^2 + n^2 + 6mn.$

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.