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Omni-MATH / Find all triples (x,y,z) of positive integers satisfying the system of equations begincases x^2=2(y+z) x^6=y^6+z^6+31(y^2+z^2)endcases · Discussion

Discussing Find all triples (x,y,z) of positive integers satisfying the system of equations begin{cases} x^2=2(y+z) x^6=y^6+z^6+31(y^2+z^2)end{cases} · Omni-MATH

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