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.
[[-188, 5, -79], [-131, -135, -98, -51, 58], [-159, 35, -53, -13, 68, -125, 15]]