# Will you integrate it 2015 times? - IV

Calculus Level 3

A polynomial $$P : \mathbb{R} \rightarrow \mathbb{R}$$ is of degree $$2015$$. It is differentiated 2015 times to get $$Q(x) = \dfrac{ d^{2015} }{dx^{2015} } \big[ P(x) \big]$$.

If the equation $$P(x) = Q(x)$$ has $$n$$ distinct roots, then what is the sum of all the possible values of $$n$$?

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