Paclitaxel and Carboplatin or Bleomycin Sulfate, Etoposide Phosphate, and Cisplatin in Treating Patients With Advanced or Recurrent Sex Cord-Ovarian Stromal Tumors

Inclusion Criteria: * Patients with histologically confirmed ovarian stromal tumor \[granulosa cell tumor, ganulosa cell-theca cell tumor, Sertoli-Leydig cell tumor (androblastoma), steroid (lipid) cell tumor, gynandroblastoma, unclassified sex cord-stromal tumor, sex cord tumor with annular tubules\] * Patients must have newly diagnosed, stage IIA - IV disease and must be entered within eight weeks from surgery; they may have either measurable residual disease by Response Evaluation Criteria In Solid Tumors (RECIST) criteria, or they may have no measurable residual disease; OR, they must have biopsy-proven recurrent disease of any stage and have never received cytotoxic chemotherapy * Patients must have a Gynecologic Oncology Group (GOG) performance grade of 0, 1, or 2 * Patients of childbearing potential must have a negative serum pregnancy test and must agree to practice an effective means of birth control * Patients in the measureable disease cohort must have at least one "target lesion" to be used to assess response on this protocol as defined by RECIST 1.1; tumors within a previously irradiated field will be designated as "non-target" lesions unless progression is documented or a biopsy is obtained to confirm persistence at least 90 days following completion of radiation therapy * Absolute neutrophil count (ANC) greater than or equal to 1,500/mcl, equivalent to Common Terminology Criteria for Adverse Events (CTCAE) grade 1 * Platelet greater than or equal to 100,000/mc…