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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