# Is Vieta's practical?

Algebra Level 5

$25(4a_1^2 + 1)(4a_2^2 + 1)\cdots (4a_{5}^2 + 1)$

Let $$a_1, a_2, \ldots,a_{5}$$ denote the roots to the equation $$\displaystyle \sum_{m=1}^{5} m x^m = 0$$.

Find the value of the expression above.

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