Phase II Study of Clinical Activity of Pegaspargase in Women With Relapsed or Refractory Epithelial Ovarian Cancer, Fallopian Tube Cancer, and/or Primary Peritoneal Cancer

* INCLUSION CRITERIA:
* All patients 18 years and older with epithelial ovarian, fallopian tube, or primary peritoneal cancer that is persistent, relapsed or refractory to prior standard platinum and taxane-based therapy will be eligible. Tumor histology must be reviewed and confirmed by the National Cancer Institute (NCI) Laboratory of Pathology. Recurrent ovarian cancer is not a curable tumor. Patients who are platinum-sensitive and who, upon detailed informed consent, wish to consider this experimental regimen, will be considered.
* All patients must have measurable disease by Response Evaluation Criteria in Solid Tumors (RECIST) criteria. A sentinel lesion adequate for core biopsy through percutaneous route is ideal but not mandatory. Patients with a malignant pleural effusion or malignant ascites will be allowed to undergo a paracentesis or thoracentesis rather than core needle biopsy if the procedure may be performed safely.
* Patients must have a performance status of Eastern Cooperative Oncology Group (ECOG) = 0, 1, 2
* Patients must have adequate end organ function:

  * Absolute neutrophil count (ANC) greater than or equal to 1500/ mm\^3
  * Platelets greater than or equal to 100,000/ mm\^3
  * Serum creatinine less than or equal to 1.5 mg/dL, or if low, creatinine clearance greater than or equal to 60 mL/min
  * Total bilirubin less than or equal to 1.5 times the ULN (upper limit of normal) unless a history of Gilbert's disease.
  * Lipase and amylase less than or equal to 1.5 times the ULN
  * Transaminases (aspartate aminotransferase (AST), alanine aminotransferase (ALT)) less than or equal to 2.5 times the ULN
  * Fibrinogen greater than or equal to 0.75 times the LLN
  * Prothrombin time (PT), partial thromboplastin time (PTT), and International Normalized Ratio (INR) less than or equal to 1.5 times the ULN. Coagulation parameters must be drawn peripherally.
* Patients must be at least 4 weeks from previous therapy (chemotherapy, hormonal therapy, and radiation therapy, alternative therapy, investigational agents, or a major surgical procedure). Patients must be 6 weeks from carboplatin- or mitomycin C-containing therapy. Exceptions: Raloxifene will be allowed for bone health and bisphosphonate therapy will be allowed for the rare situation of bone metastasis.
* There is no limit to the number of prior regimens patients may have received for the treatment of ovarian cancer.
* Patients must have recovered from any toxicity related to prior cancer therapy to Common Terminology Criteria for Adverse Events (CTCAE) grade 1, except for stable peripheral neuropathy, which must have recovered to grade 2 or better, and grade 2 total white blood cell count when ANC is greater than or equal to 1500 (alopecia and hypertension exempted).
* Women of childbearing potential must agree to use adequate barrier contraception (interaction with oral contraceptives is unknown) prior to study entry, during therapy and for 3 months after completion of therapy and must have a negative pregnancy test.
* Patients must be able to give written informed consent.

EXCLUSION CRITERIA:

* Evidence of severe or uncontrolled systemic disease or any concurrent condition which in the Investigator's opinion makes it unsafe for the patient to participate in the trial or which would jeopardize compliance with the protocol.
* Evidence of central nervous system (CNS) involvement. Patients with abnormal clinical exam or history will require a head computed tomography (CT) or magnetic resonance imaging (MRI).
* History of clinically symptomatic pancreatitis within the six months prior to enrollment.
* History of prior exposure to any formulation of L-asparaginase.
* Patients with a history of deep venous thrombosis or pulmonary embolism within the past 3 months, or pulmonary embolism within the past 6 months, history of recurrent clot or pulmonary embolism (PE), or those patients requiring ongoing full dose anticoagulation will be ineligible. Line prophylaxis with 1 mg warfarin daily will be allowed.
* Patients with active infection will not be eligible, but may become eligible once infection has resolved and they are at least 7 days from completion of antibiotics.
* Women who are pregnant and women actively breast-feeding will be excluded.
* Previous or current malignancies within the last 5 years, with the exception of cervical carcinoma in situ curatively treated, ductal or lobular carcinoma in situ curatively treated and without ongoing therapeutic intervention, and nonmelanomatous skin cancers curatively treated.
* No concomitant use of complementary or alternative medication or other agents (investigational or anti-cancer agents) will be allowed without approval of a principal investigator (PI) or associate investigator (AI). Every effort will be made to maximize patient safety and minimize changes in chronic medications.