WeBWorK Standalone Renderer

Let $F(x,y,z) = (-6xz^2, xyz, -6xy^3z)$ be a vector field and $f(x,y,z) = x^3 y^2 z$ .
$\nabla f = ($ , , $)$ .
$\nabla \times F = ($ , , $)$ .
$F \times \nabla f = ($ , , $)$ .
$F \cdot \nabla f =$ .

You can earn partial credit on this problem.