Timing of Surgery and Chemotherapy in Treating Patients With Newly Diagnosed Advanced Ovarian Epithelial, Fallopian Tube, or Primary Peritoneal Cavity Cancer

RATIONALE: Drugs used in chemotherapy work in different ways to stop tumor cells from dividing so they stop growing or die. Giving a chemotherapy drug before surgery may shrink the tumor so that it can be removed; giving chemotherapy after surgery may kill any remaining tumor cells. It is not yet known whether giving chemotherapy before and after surgery is more effective than giving chemotherapy after surgery in treating ovarian epithelial, fallopian tube, or primary peritoneal cavity cancer. PURPOSE: This randomized phase II/III trial is studying how well giving chemotherapy before and after surgery works and compares it to giving chemotherapy after surgery alone in treating patients with newly diagnosed advanced ovarian epithelial, fallopian tube, or primary peritoneal cavity cancer.