Problem 6 -- Alien Math

Professor Plum likes to read science fiction books before going to sleep each night. One night he had a very realistic dream of aliens having 6-fingers on each of 5 hands invading Earth. He knows it was just a dream, but just to be sure he wants to practice his base-30 mathematics to prepare for the alien invasion. He decided to use the digits: 0 – 9, A – T, and focus only on addition of non-negat