30. President - Calvin Coolidge Term - August 3, 1923 to March 3, 1929 Coolidge set out to establish a working relationship with the leading members of the Harding administration, and he drew on many people for advice and help. The scandals of Harding's presidency, particularly the Teapot Dome oil affair, were coming to light, and Coolidge spent much of his time defending his party. His relations with Congress were unhappy, but he coped with scandal by prosecuting offenders, and, thanks to that, his integrity, and his self-possession, he ret ....