Question 44
Integers $a, b, c, d, e, f$ satisfy the system
$$
\begin{cases}
ace + 3adf - 3bcf + 3bde = 5, \\
acf - ade + bce + 3bdf = 2.
\end{cases}
$$
Find all possible values of the expression $abcde$.
$$
\begin{cases}
ace + 3adf - 3bcf + 3bde = 5, \\
acf - ade + bce + 3bdf = 2.
\end{cases}
$$
Find all possible values of the expression $abcde$.