DMAC is a serious and sometimes life-threatening infection that usually affects only HIV-positive patients with CD4 cell counts (cells of the immune system that fight infection) less than 50 cells/mm3. It is recommended that people who are likely to get DMAC be placed on preventive medications which help reduce the risk of infection. New anti-HIV combination drug therapies can increase CD4 cell counts and can reduce the level of HIV in the blood. When CD4 counts are increased, risk of DMAC infection is less. This study examines whether it is possible to stop preventive therapy for DMAC when CD4 counts are high without placing individuals at risk for getting DMAC again.