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∑k=263k3−kk6−1 \large \displaystyle \sum_{k=2}^{63} \dfrac{k^3-k}{k^6-1}\ k=2∑63k6−1k3−k
If the value of the summation above is in the form pq\dfrac{p}{q}qp, where ppp and qqq are coprime positive integers, find p+qp+qp+q.
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