Carboplatin, Paclitaxel, and Pegfilgrastim in Treating Patients With Stage III or Stage IV Ovarian Epithelial, Fallopian Tube, Primary Peritoneal, or Carcinosarcoma Cancer

Inclusion Criteria: * Diagnosis of 1 of the following: * Primary peritoneal carcinoma * Fallopian tube carcinoma * Ovarian epithelial carcinoma * Carcinosarcoma * Stage III or IV disease * Previously untreated disease, except for mandatory prior surgery * No ovarian epithelial carcinoma of low malignant potential (i.e., borderline carcinomas) * GOG performance status 0-2 * Absolute neutrophil count ≥ 1,500/mm³ * Platelet count ≥ 100,000/mm³ * Hemoglobin ≥ 9.0 g/dL * Creatinine ≤ 1.5 times upper limit of normal (ULN) * Bilirubin ≤ 1.5 times ULN * SGOT ≤ 2.5 times ULN * Alkaline phosphatase ≤ 2.5 times ULN * No peripheral neuropathy (sensory or motor) ≥ grade 2 * Not pregnant or nursing * Negative pregnancy test * Fertile patients must use effective contraception * No other invasive malignancies within the past 5 years except nonmelanoma skin cancer * No septicemia, severe infection, or acute hepatitis * No prior radiotherapy or chemotherapy * No prior cancer treatment that would contraindicate study treatment