How many integers $1\le x \le 2021$ make the value of the expression $$\frac{2x^3 - 6x^2 - 3x -20}{5(x - 4)}$$an integer?
Problem
Source: 2021 Dürer Math Competition Finals Day2 E5 https://artofproblemsolving.com/community/c2749870_
Tags: number theory, Integer