Complex sentence: Students of Livingston, Douglass, and Cook colleges generally used residence and dining halls on the respective campuses (Livingston, Douglass, and Cook), and the administration and student center facilities of those colleges were respectively located as well.
Split into simpler sentences: Students of Livingston, Douglass, and Cook colleges generally used residence and dining halls on their respective campus (Livingston, Douglass, or Cook Campus). Administration and student center facilities of those colleges were respectively located as well.