CMOQR 2021 Problem 2
Determine all integer solutions to the system of equations: \begin{align*} xy + yz + zx &= -4 x^2 + y^2 + z^2 &= 24 x^{3} + y^3 + z^3 + 3xyz &= 16 \end{align*}
Dataset text AI-MO AoPS. Quoted with source.
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