OUTLINE: This is a randomized, multicenter study. Patients are randomized to 1 of 2 treatment arms: Arm I: Patients receive placebo IV during weeks 1, 3, 5, 9, 13, 25, 37, and 49. Arm II: Patients receive OvaRex monoclonal antibody B43.13 (MOAB B43.13) IV during weeks 1, 3, 5, 9, 13, 25, 37, and 49. Patients in either treatment arm who have no disease progression after week 49 receive MOAB B43.13 once every 12 weeks until week 121. Patients with disease progression after week 49 may receive MOAB B43.13 alone, in combination with, or following chemotherapy. Quality of life is assessed during the study.