An algebra problem by megh choksi

Algebra Level 4

\( x, y, \) and \(z\) are integers such that

\[ x^ 2 + y^2 + z^2 = 2xyz. \]

Find the value of

\[ \frac {(x^{5} + y^{8} + z^{10})}{ 1 + x^{3001} +y + 28z }. \]

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