Олимпиадный тренинг

Задача 39722. Dividers with range - 03


Let us denote by DIV(n, m) the statement "a natural number n is divisible without remainder by a natural number m". For what is the smallest natural number A< /code> boolean expression
\((x \geq 8) \rightarrow ( \neg DIV(x, 3) \rightarrow DIV(x, 2)) \vee (x+A\geq 25)\)
identically true (i.e. takes the value 1) for any integer natural value of the variable х.