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.
[[88, -113], [-8, -125], [-144, -188, -181, -158, 56, -31, -143], [-122, 39, 39, -38], [-122, -106, -154, 32, -131, 99, -43]]