# Sum of odd powers

Algebra Level 4

For positive integer $$n$$, let $$f(n)$$ denote the remainder when $$\displaystyle 3\sum_{r=1}^n r^5$$ is divided by $$\displaystyle \sum_{r=1}^n r^3$$. Compute $$f(1) + f(2) + \cdots +f (2016 )$$.

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