Question 144
If $x$, $y$, $z$ are real numbers satisfying
$$
\begin{aligned}
(x + 1)(y + 1)(z + 1) &= 3 \\
(x + 2)(y + 2)(z + 2) &= -2 \\
(x + 3)(y + 3)(z + 3) &= -1,
\end{aligned}
$$
find the value of
$(x + 20)(y + 20)(z + 20)$.
$$
\begin{aligned}
(x + 1)(y + 1)(z + 1) &= 3 \\
(x + 2)(y + 2)(z + 2) &= -2 \\
(x + 3)(y + 3)(z + 3) &= -1,
\end{aligned}
$$
find the value of
$(x + 20)(y + 20)(z + 20)$.