# Polynomial Remainder

Algebra Level 5

Consider the function $f(x)=x^{2015}+2015$. If $f(x)$ is divided by $x^{8}-x^{6}+x^{4}-x^{2}+1$, it leaves a remainder $g(x)$. If $f(x)$ is divided by $(x+1)^{3}$, it has a remainder $h(x)$.

Find the value of $\frac{h(1)+1}{1-g(-1)}$.

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