The poem references a number of student groups whose offices are on the fourth floor of the student center. Doing the given math on the last two digits of their room numbers yields numbers that map to the word FLESH, the answer to this puzzle and one of the codes for the 3 locks.
ESP - MITOC = 67-61 = 6 = F LSC - LSC = 69-57 = 12 = L (Technique - UA) / (The Tech - MITSFS) = (51-01)/(83-73) = 5 = E MTG - Shakespeare Ensemble + APO - 2*GNS Players = 53 - 23 + 15 -2*13 = 19 = S (SEDS + Women's Engineering)/ (Piano Room A - SAA) = (45+43)/(40-29) = 8 = H