Question 89
Let $a$ and $b$ be real numbers, and let $r$, $s$, and $t$ be the roots of $f(x) = x^{3} + a x^{2} + b x - 1$. Also, $g(x) = x^{3} + m x^{2} + n x + p$ has roots $r^{2}$, $s^{2}$, and $t^{2}$. If $g(-1) = -5$, find the maximum possible value of $b$.