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.
[[-71, -64, -90, 99, -96], [-192, -5, 100, -185, -157, -7], [-160, 15, -112, -133, -99, 71]]