4. Consider the set $M$ of integers $n \in[-100 ; 500]$, for which the expression $A=n^{3}+2 n^{2}-5 n-6$ is divisible by 11. How many integers are contained in $M$? Find the largest and smallest of them?
Answer: 1) 164 numbers; 2) $n_{\text {min }}=-100, n_{\text {max }}=497$.