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.
[[-59, -138, 78], [99, -38, -189, -133, -140, 37, 33], [-77, -153, 30, -200], [-157, 71]]