Task B-4.4. The publisher has decided to sell off the book stocks that have been stored in the warehouse for a long time. He packs them into packages and sets promotional prices for the packages. Each book has the same monetary value. If he packs them in groups of 4, 5, or 6, each time there will be 2 books left, but if he packs them in groups of 7, all the books will be used. What is the minimum number of books in the warehouse.
Solution. Let $n$ be the sought number of books.

According to the conditions of the problem, $n-2$ is divisible by $4,5,6$. Then $n-2=60k, k \in \mathbb{N}_{0}$. (1 point) Therefore, we need to find a number of the form $60k+2$ that is divisible by 7. The smallest such number is for $k=3$. (2 points)

There are at least 182 books in the warehouse.