PolyAMO0109

Algebra Level 4

Find the solution(hint: it's unique) to the following equations:

\((1+x)(1+ x^{2})(1+ x^{4})=1+ y^{7}\)

\((1+y)(1+ y^{2})(1+ y^{4})=1+ x^{7}\) and \(x \neq 0\) and \(y \neq 0\)

Submit your answer as x+y.

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