Find the number of non-negative integer solutions of $a^2$ + $2b$ + $c^3$ + $4ac$ + $d$ = 144 where a,b,c,d $\geqslant$ $0$
I tried by applying $C((n+r-1),(r-1))$.
But by this method it is becoming too lengthy with so many cases. And the time given to solve this question is only 3 mins.