Don't forget 2015

Algebra Level 4

\[\large \displaystyle \sum_{k=2}^{63} \dfrac{k^3-k}{k^6-1}\ \]

If the value of the summation above is in the form \(\dfrac{p}{q}\), where \(p\) and \(q\) are coprime positive integers, find \(p+q\).

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