This randomized clinical trial is studying the side effects of oregovomab and to see how well it works with or without cyclophosphamide in treating patients with stage III or stage IV ovarian epithelial cancer, fallopian tube cancer, or primary peritoneal cancer that responded to second-line chemotherapy. Monoclonal antibodies, such as oregovomab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Drugs used in chemotherapy, such as cyclophosphamide, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. It is not yet known whether oregovomab is more effective when given together with or without cyclophosphamide in treating patients with stage III or stage IV ovarian epithelial cancer, fallopian tube cancer, or primary peritoneal cancer.