1. Let $r$ be a solution of the equation $x^{3}-x+3=0$, then the monic integer coefficient cubic equation with $r^{2}$ as a solution is $\qquad$
$\begin{array}{l}- 1 . x^{3}-2 x^{2}+x-9=0 . \\ \text { Let } s=r^{2} \text {, then } \\ (\sqrt{s})^{3}-\sqrt{s}+3=0 \\ \Rightarrow 3=\sqrt{s}(1-s) \\ \Rightarrow 9=s\left(s^{2}-2 s+1\right) \\ \Rightarrow s^{3}-2 s^{2}+s-9=0 .\end{array}$