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.
[[-39, 78, -40, -61, -188, 70], [-76, -7, 49, -174, -118, -42, -59]]