OUTLINE: This is a randomized, multicenter study. Patients are stratified according to participating center and stage (stage IIB and stage III optimally debulked to no greater than 1 cm residual tumor vs stage IV regardless of residual tumor or residual tumor greater than 1 cm). Patients are randomized to one of two treatment arms. Arm I: Patients receive paclitaxel IV over 3 hours and carboplatin IV over 0.5-1 hour on day 1 and topotecan IV over 0.5 hour on days 1-5. Treatment repeats every 21 days for 6 courses (topotecan is administered for 4 courses only). Arm II: Patients receive paclitaxel and carboplatin as in arm I. Treatment repeats every 21 days for 6 courses. Quality of life is assessed before courses 1, 3, and 5 and at 3 weeks and 3 months after completion of treatment in both treatment arms; before courses 1 and 3 of topotecan in arm I; and at 6 months after completion of treatment in arm II. Patients are followed every 3 months for 2 years, every 6 months for 3 years, and then annually thereafter.