The Chain Rule & Implicit Differentiation · Hard problem

Let $z = - 3 x^{3} + x^{2} y - 2 x^{2} - 3 x y^{2} - 2 x y - x + 3 y^{3} - 3 y^{2} - 3 y$ with $x = t + 1$ and $y = t^{3}$. Find $\dfrac{dz}{dt}$ at $t = 2$.