Is it possible to find an integer solution $r≥4$ to an equation? Is it possible to find an integer solution $r≥4$ to this equation?
$$11r²³-7r²¹+11r¹⁸-7r¹⁶-2r¹²+11r¹¹- 7r⁹-2r⁷-2 =0$$
I try some special values of $r$ but without any sucess.

An integer solution $r$ of a polynomial $\sum\limits_{i=0}^n a_ix^i$ has to be a factor of $a_0$, i.e. $rk=a_0$ for an $k\in\mathbb{Z}$. So for your polynomial the only possible integer solution would be $1,-1,2,-2$.
