Cediranib Maleate in Treating Patients With Persistent, Recurrent, or Refractory Advanced Ovarian Epithelial, Peritoneal Cavity, or Fallopian Tube Cancer

Inclusion Criteria

• •Patients must have histologically or cytologically confirmed epithelial ovarian cancer, fallopian tube cancer, or primary peritoneal cancer that has recurred or is refractory to initial therapy; patients must have received platinum-based chemotherapy before entry into this protocol
• •Patients must have measurable disease, defined as at least one lesion that can be accurately measured in at least one dimension (longest diameter to be recorded) as \> 20 mm with conventional techniques or as \> 10 mm with spiral computed tomography (CT) scan OR patients must have evidence of progression based on an elevated CA-125 (defined as a value of \> 2 x upper limit of normal \[ULN\] documented on two separate determinations made \> 2 weeks apart) if the physical exam is normal and CT scan of the chest/abdomen/pelvis, has a disease volume \< 1 cm in maximum diameter
• •Patients may have received no more than one prior chemotherapy regimen (i.e. initial first-line chemotherapy only)
• •Life expectancy of greater than 12 weeks
• •Eastern Cooperative Oncology Group (ECOG) performance status =\< 2 (Karnofsky \>= 60%)
• •Leukocytes \>= 3,000/mcL
• •Absolute neutrophil count \>= 1,500/mcL
• •Platelets \>= 100,000/mcL
• •Hemoglobin \>= 8 g/dL
• •Total bilirubin within normal institutional limits
• •Aspartate aminotransferase (AST) (serum glutamic oxaloacetic transaminase \[SGOT\])/alanine aminotransferase (ALT) (serum glutamate pyruvate transaminase \[SGPT\]) =\< 2.5 × institutional upper limit of normal
• •Creatinine within normal institutional limits OR creatinine clearance \>= 60 mL/min/1.73 m\^2 for patients with creatinine levels above institutional normal
• •Women of child-bearing potential must have a negative pregnancy test prior to study entry; women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry and for the duration of study participation; should a woman become pregnant or suspect she is pregnant while participating in this study, she should inform her treating physician immediately
• •Ability to understand and the willingness to sign a written informed consent document