# Playing with Vieta

Algebra Level 5

$\large x^4 + 37x^3 + 71x^2 + 18x + 3$

If $$a$$, $$b$$, $$c$$, and $$d$$ represent the roots of the polynomial above, find the sum of the coefficients of the monic polynomial whose roots are $$\large\frac{abc}{d}$$, $$\large \frac{abd}{c}$$, $$\large\frac{acd}{b}$$, and $$\large\frac{bcd}{a}$$.

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