Question 23
Suppose that $a_1,a_2,a_3,a_4$ and $a_5$ are five distinct integers such that
$$a_1+a_2+a_3+a_4+a_5=23.$$
If $b$ is an integer that satisfies the equation
$$(b-a_1)(b-a_2)(b-a_3)(b-a_4)(b-a_5)=1183,$$
find the value of $b$.
$$a_1+a_2+a_3+a_4+a_5=23.$$
If $b$ is an integer that satisfies the equation
$$(b-a_1)(b-a_2)(b-a_3)(b-a_4)(b-a_5)=1183,$$
find the value of $b$.