The Chain Rule & Implicit Differentiation · Hard problem

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