# My first ever problem

Algebra Level pending

Consider a polynomial $$P(x)$$ such that $$P(x)=\displaystyle \sum _{ n=1 }^{ 7 }{ \phi (n)x^{ n } }$$ and $$x_{ 1 },x_{ 2 },x_{ 3 }, ...,x_{ 7 }$$ are the roots of $$P(x)=0$$.

Find $$\displaystyle \sum _{ n=1 }^{ 7 }{ x_{ n }^{ 3 }}$$.

The answer is in the form $$-\frac { p }{ q }$$, where $$p$$ and $$q$$ are co-prime positive integers, find $$p+q$$.

Note: $$\phi (n)$$ denotes Euler's totient function.

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