Олимпиадный тренинг

Задача 39726. Dividers with range - 06


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 largest natural number A< /code> boolean expression
\((x < 100) \rightarrow (( DIV(x, 3) \wedge DIV(x, 4)) \rightarrow \neg DIV(x, 5)) \vee (x-A\geq 25)\)
identically true (i.e. takes the value 1) for any integer natural value of the variable х.