The Chain Rule & Implicit Differentiation · Hard problem

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