# More Fun in 2015, Part 40

Algebra Level 4

Compute $S=\sum\frac{1}{(1-\omega)^{2015}}$

where the sum is taken over all $$2015^\text{th}$$ roots of unity $$\omega$$ with $$\omega\neq 1$$.

###### Enjoy it while it lasts; this problem will become a lot harder next year!
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