Inspired by Ikkyu San!

Algebra Level 4

\[\large{ \dfrac{1}{1^4 + 1^2 + 1} + \dfrac{2}{2^4 + 2^2 + 1} + \ldots + \dfrac{2015}{2015^4 + 2015^2 + 1} }\]

If the value of the above can be expressed as \(\dfrac{A}{B}\) for positive coprime integers \((A,B)\) , submit the value of \(A+B\) as your answer.

Inspiration

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