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.
[[30, -72, 78, 12, -87, -118, 40], [-139, 17, 10, -139, -120, 53, -127], [-122, 28, -161, 93, 9, -171], [-195, 86, -34, 15, 73], [-71, -31, -147, -106]]