DE-MO 2014 Problem 4

For real numbers $x$ , $y$ and $z$ , solve the system of equations: $x^3+y^3=3y+3z+4$ $y^3+z^3=3z+3x+4$ $x^3+z^3=3x+3y+4$

Dataset text AoPS wiki problems. Quoted with source.

Solutions

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