Dalantercept in Treating Patients With Recurrent Ovarian Epithelial, Fallopian Tube, or Primary Peritoneal Cavity Cancer

Inclusion Criteria: * Patients must have recurrent or persistent epithelial ovarian, fallopian tube, or primary peritoneal carcinoma; histologic documentation of the original primary tumor is required via the pathology report * All patients must have measurable disease as defined by Response Evaluation Criteria in Solid Tumors (RECIST) 1.1; measurable disease is defined as at least one lesion that can be accurately measured in at least one dimension (longest diameter to be recorded); each lesion must be \>= 10 mm when measured by computed tomography (CT), magnetic resonance imaging (MRI) or caliper measurement by clinical exam; or \>= 20 mm when measured by chest x-ray; lymph nodes must be \>= 15 mm in short axis when measured by CT or MRI * Patient 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 * Patients must not be eligible for a higher priority Gynecologic Oncology Group (GOG) protocol, if one exists; in general, this would refer to any active GOG phase III protocol or Rare Tumor protocol for the same patient population * Patients who have received one prior regimen must have a GOG performance status of 0, 1, or 2; patients who have received two prior regimens must have a GOG performance status of 0 or 1 * Recovery from effects of recent surgery, radiotherapy, or chemotherapy: * Patients should be free of active infection requiring antibiotics (with the exception of uncomplicated urinary tract infection \[UTI\]) * Any hormonal therapy directed at the malignant tumor must be discontinued at least one week prior to registration; continuation of hormone replacement therapy is permitted * Any other prior therapy directed at the malignant tumor, including immunologic agents, must be discontinued at least three weeks prior to registration; therapy with nitrosoureas or mitomycin must be discontinued at least six weeks prior to registration * Any prior radiation therapy must be discontinued at least four weeks prior to registration * At least 4 weeks must have elapsed since the patient underwent any major surgery (e.g., major: laparotomy, laparoscopy); there is no delay in treatment for minor procedures (e.g., central venous access catheter placement) * Prior therapy: * Patients must have had one prior platinum-based chemotherapeutic regimen for management of primary disease containing carboplatin, cisplatin, or another organoplatinum compound; this initial treatment may have included intraperitoneal therapy, consolidation, biologic/targeted (non-cytotoxic) agents (e.g., bevacizumab) or extended therapy administered after surgical or non-surgical assessment * Patients are allowed to receive, but are not required to receive, one additional cytotoxic regimen for management of recurrent or persistent disease * Patients who have received only one prior cytotoxic regimen (platinum-based regimen for management of primary disease), must have a platinum-free interval of less than 12 months, or have progressed during platinum-based therapy, or have persistent disease after a platinum-based therapy * Patients are allowed to receive, but are not required to receive, biologic/targeted (non-cytotoxic) therapy as part of their primary treatment regimen * Patients must have NOT received any biologic/targeted (non-cytotoxic) therapy targeting the VEGF pathway for management of recurrent or persistent disease * For the purposes of this study, poly (ADP-ribose) polymerase (PARP) inhibitors will be considered ?cytotoxic?; patients are allowed to receive, but are not required to receive, PARP inhibitors for management of primary or recurrent/persistent disease (either alone or in combination with cytotoxic chemotherapy); PARP inhibitors will NOT count as a prior regimen when given alone * Absolute neutrophil count (ANC) greater than or equal to 1,500/mcl * Platelets greater than or equal to100,000/mcl * Hemoglobin greater than or equal to 9 g/dl * Creatinine less than or equal to 1.5 x institutional upper limit normal (ULN) * Sodium greater than or equal to 130 mEq/L (CTCAE version 4 \[v. 4\], grade 0 or 1) * Urine protein should be screened by urinalysis; if protein is 2+ or higher, 24-hour urine protein should be obtained and the level should be \< 1000 mg (\< 1.0 g/24 hrs) for patient enrollment * Bilirubin less than or equal to 1.5 x ULN * Alanine aminotransferase (ALT) and aspartate aminotransferase (AST) less than or equal to 3 x ULN * Alkaline phosphatase less than or equal to 3 x ULN * Albumin greater than or equal to 3 (CTCAE v. 4, grade 0 or 1) * Prothrombin time (PT) such that international normalized ratio (INR) is less than or equal to 1.5 x ULN (or an in-range INR, usually between 2 and 3, if a patient is on a stable dose of therapeutic warfarin) and partial thromboplastin time (PTT) less than or equal to 1.5 x ULN * Left ventricular ejection fraction (LVEF) greater than 50% (measured by echocardiogram or MUGA \[multi-gated acquisition\] scan) * Patients must have signed an approved informed consent and authorization permitting release of personal health information * Patients must meet pre-entry requirements * Patients of childbearing potential must have a negative pregnancy test prior to the study entry and be practicing an effective form of contraception Exclusion Criteria: * Patients who have had previous treatment with dalantercept or any other anti-ALK1 (activin receptor-like kinase 1) agent * Patients with a history of other invasive malignancies, with the exception of non-melanoma skin cancer and other specific malignancies, are excluded if there is any evidence of other malignancy being present within the last three years; patients are also excluded if their previous cancer treatment contraindicates this protocol therapy * Patients who have received prior radiotherapy to any portion of the abdominal cavity or pelvis OTHER THAN for the treatment of ovarian, fallopian tube, or primary peritoneal cancer within the last three years are excluded; prior radiation for localized cancer of the breast, head and neck, or skin is permitted, provided that it was completed more than three years prior to registration, and the patient remains free of recurrent or metastatic disease * Patients who have received prior chemotherapy for any abdominal or pelvic tumor OTHER THAN for the treatment of ovarian, fallopian tube, or primary peritoneal cancer within the last three years are excluded; patients may have received prior adjuvant chemotherapy for localized breast cancer, provided that it was completed more than three years prior to registration, and that the patient remains free of recurrent or metastatic disease * Patients with a past history of primary endometrial cancer are excluded unless all of the following conditions are met: stage not greater than I-B; no more than superficial myometrial invasion, without vascular or lymphatic invasion; no poorly differentiated subtypes, including papillary serious, clear cell or other International Federation of Gynecology and Obstetrics (FIGO) grade 3 lesions * Patients with history or evidence upon physical exam of central nervous system (CNS) disease, including primary brain tumor, seizures not controlled with standard medical therapy or any brain metastases * Serious or non-healing wound, ulcer or bone fracture * History of abdominal fistula, gastrointestinal perforation or intra-abdominal abscess within 6 months * Patients requiring parenteral hydration or parenteral/total parenteral nutrition * Patients with: * Active bleeding (e.g., active hemoptysis, defined as bright red blood of greater than or equal to 1/2 teaspoon \[2.5 ml\] in any 24 hour period within 2 weeks prior to registration or gastrointestinal bleeding within 3 months prior to registration) * Hereditary hemorrhagic telangiectasia (HHT) * Platelet function abnormality * Autoimmune or hereditary hemolysis * Coagulopathy * Tumor involving major vessels (defined as any lesion invading or abutting the wall \[i.e., no fat plane evident\] of major blood vessels as assessed by CT or MRI) * Patients receiving treatment with full dose aspirin (325mg oral daily), clopidogrel (Plavix) or dabigatran (Pradaxa) * Patients with peripheral edema greater than or equal to grade 1, within 4 weeks of registration * Patients with clinically significant cardiovascular disease: * Uncontrolled hypertension, defined as systolic \> 150 mm Hg or diastolic \> 90 mm Hg despite antihypertensive medications * Evidence of hypertrophic cardiomyopathy * New York Heart Association (NYHA) class II or greater congestive heart failure (CHF) * Any of the following within 6 months prior to study registration: * Bypass surgery * Stent placement * Myocardial infarction * Acute coronary syndrome/unstable angina * Hospitalization for CHF * Serious cardiac arrhythmia requiring medication; this does not include asymptomatic, atrial fibrillation with controlled ventricular rate * Prolonged corrected QT (QTc) interval \> 450 ms * Prior anthracycline cumulative dose \> 450 mg/m\^2 * History of severe (National Cancer Institute-Common Terminology Criteria for Adverse Events \[NCI-CTCAE\] v.4.0 \>= grade 3) allergic or anaphylactic reaction or hypersensitivity to recombinant proteins or Tris buffered saline * Patients who are pregnant or nursing * History of syndrome of inappropriate antidiuretic hormone secretion (SIADH) * Patients who have undergone a therapeutic paracentesis within 4 weeks of registration * Known history of positive hepatitis C virus (HCV) antibody, hepatitis B virus (HBV) surface antigen (HBsAg) or HBV core antibody, or human immunodeficiency virus (HIV) antibody results * Clinically significant active pulmonary risk including pulmonary hypertension, pulmonary embolism, or history of pulmonary edema