Cisplatin and Flavopiridol in Treating Patients With Advanced Ovarian Epithelial Cancer or Primary Peritoneal Cancer

Inclusion Criteria: Histologically confirmed ovarian epithelial or primary peritoneal cancer: Advanced disease Meets at least 1 of the following criteria: Measurable disease; Evaluable disease plus CA 125 >= 2 times post-treatment nadir Treated with 1, and only 1, prior platin-containing chemotherapy regimen (e.g., paclitaxel or carboplatin-based) for ovarian epithelial or primary peritoneal cancer Prior treatment with the same regimen at first relapse allowed; No more than 3 total chemotherapy regimens allowed provided exactly 1 has been platin-containing; Must also have platin-resistant disease as defined for Group 1; Rechallenge with a single regimen upon progression after a hiatus from therapy counts as a single regimen Group 1, meeting 1 of the following criteria: Patients who relapse during or < 6 months after completion of post-debulking chemotherapy; "Platinum sensitive" patients in second relapse after having been treated/rechallenged with their initial regimen upon first relapse Group 2 (Closed to accrual as of 3/10/06): Patients who relapse >= 6 months after completion of post-debulking chemotherapy and are not retreated with the same or a different regimen No CNS metastases Performance status: ECOG 0-2 Hematopoietic: Absolute neutrophil count >= 1,500/mm3; Platelet count >= 100,000/mm3; Hemoglobin >= 10 g/dL (Note: May be supported with transfusion, epoetin alfa, or darbepoetin alfa) Hepatic: AST =< 2.5 times upper limit of normal (ULN); Alkaline phosphatase =< 2.5 times ULN; Bilirubin =< 1.5 times ULN Renal: Creatinine =< 1.5 times ULN Cardiovascular: No cardiac arrhythmia; No cardiac failure Not pregnant or nursing Negative pregnancy test More than 3 weeks since prior chemotherapy (6 weeks for nitrosoureas) More than 3 weeks since prior radiotherapy Recovered from all prior therapy Fertile patients must use effective contraception No other malignancy within the past 5 years except non-melanoma skin cancer or carcinoma in situ of the cervix No diabetes No peripheral neuropathy >= grade 2 No baseline diarrhea (>= 4 stools/day) No uncontrolled infection No other concurrent uncontrolled serious medical condition No concurrent routine colony-stimulating factors