MYTS 2018 — Grade 10 — Round 1 Question 17

Let $f(x)=x^3-33x^2+363x-1320$. For integers $n\ge2$, define $f_n(x)=f(f_{n-1}(x))$, with $f_1=f$. Solve $f_{2018}(x)=2007^{3^{2018}}+11$.