A calculus problem by Azhaghu Roopesh M

Calculus Level 5

p=115p2p(p+2)!=wxyz!\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 ww, xx, yy, and zz. Evaluate wxyz \begin{vmatrix} w & x \\ y & z \end{vmatrix} .

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