# Complex 360!

Algebra Level 5

$\large (x+1)(x+2)(x+3)^2 (x+4)(x+5) - 360$

If the non-real complex roots of the expression above can be expressed as

$\pm \left( \sqrt { \sqrt { x } -y } \right) -z\pm \left( \sqrt { \sqrt { x } +y } \right) i \,$

where $$x, y,$$ and $$z$$ are integers, find the value of $$x+y+z$$.

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