Suppose $xy^{2}z^{3}+201 = 3xy-z$. Compute $\displaystyle \frac{\partial z}{\partial x}$ and $\displaystyle \frac{\partial z}{\partial y}$ at the point $(-2,2,3)$.

$\displaystyle \left. \frac{\partial z}{\partial x} \right|_{(-2,2,3)} =$

$\displaystyle \left. \frac{\partial z}{\partial y} \right|_{(-2,2,3)} =$