Bryostatin 1 and Cisplatin in Treating Patients With Advanced Recurrent or Residual Ovarian Epithelial, Fallopian Tube, or Primary Peritoneal Cancer

Inclusion Criteria: * Advanced recurrent or residual ovarian, fallopian tube, or papillary primary peritoneal cancer which has been histologically confirmed * Eligible patients include patients with measurable disease who have progressed while on chemotherapeutic treatment, patients with biopsy-proven persistent, clinically-measurable disease with best response as stable at the completion of planned first-line therapy, patients with persistent or recurrent disease with rising CA-125 to levels at least twice normal; the CA-125 increase must be documented by two independent measurements; no patient may have received more than two prior regimens of chemotherapy including first-line treatment * Patients must have a Karnofsky performance status of greater than or equal to 50% and an estimated survival of at least three months * Measured or calculated clearance \>= 60 ml/min * AGC \>= 1800/mm\^3 * Plts \>= 100,000/mm\^3 * Bilirubin =\< 1.5 mg/dl * SGOT less than 2 x upper limit of normal * Previous radiotherapy or chemotherapy must have been completed at least three weeks before treatment under this protocol * Patients must have the ability to give voluntary informed consent and to comply with the treatment and required tests * Because Bryostatin is of unknown teratogenic potential, women of childbearing potential must have a negative pregnancy test and must take adequate precautions to prevent pregnancy during treatment * Patients with any non-malignant intercurrent illness (e.g. cardiovascular, pulmonary, or central nervous system disease) which is either poorly controlled with currently available treatment, or is of such severity that the investigators deem it unwise to enter the patient on protocol shall be ineligible * Patients currently being treated for severe infection or who are recovering from major surgery are ineligible until recovery is deemed complete by the investigator * The extent of all evaluable and nonevaluable disease must be documented; pretreatment radiographic examinations should be done no earlier than 4 weeks (28 days) prior to the first course of chemotherapy; pre-treatment chemistries and CA-125 levels should be done no earlier than two weeks (14 days) prior to initiation of chemotherapy; (in calculating days of tests and measurements, the day a test or measurement is done is considered day 0; therefore, if a test is done on Monday, the Monday four weeks later would be considered day 28; this allows for efficient patient scheduling without exceeding the guidelines)