In this task, you are given a list. This list contains many lists of integers. The list is several items written within a []. Your task is to find the maximum number among the members of each inner list. The output should be a list comprised of the maximums with the same order as the internal lists.
[[-198, 19, 96], [-142, 75, 60, -85, -176, -68, -115], [-107, 9, -43], [-139, -89, -47, 76], [-7, 15]]