Consider the vector field $$F(x,y,z) = (-6x^2, (x+y)^2, -6(x+y+z)^2).$$ Find the divergence and curl of $F$.

$\textrm{div}(F) = \nabla \cdot F =$ .
$\textrm{curl}(F) = \nabla \times F = ($ , ,$)$.