# A calculus problem by Azhaghu Roopesh M

Calculus Level 5

$\large \sum_{p=1}^{15} \frac {p \cdot 2^p}{(p+2)!} = w - \frac {x^y}{z!}$

The equation above holds true for some positive integers $$w$$, $$x$$, $$y$$, and $$z$$. Evaluate $$\begin{vmatrix} w & x \\ y & z \end{vmatrix}$$.

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