Arctan in 2015

Geometry Level 4

tan(arctan2+arctan0+arctan1+arctan5arctan2015) \tan(\arctan 2 + \arctan 0 +\arctan 1 + \arctan 5 - \arctan 2015)

If the value of expression above can be stated as pq,-\frac{p}{q}, where pp and qq are relatively prime positive integers. Find p+q.p + q.

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