# The answer is $$n^2$$

Algebra Level 4

$\large \frac{31}{2- \alpha_1}+ \frac{31}{2- \alpha_2}+\frac{31}{2- \alpha_3} +\frac{31}{2- \alpha_4}$

Given that $$1,\alpha_1, \alpha_2, \alpha_3,\alpha_4$$ are distinct fifth roots of unity, evaluate the expression above.

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