Study to Test the Drug Darolutamide Along With the Drugs Leuprolide Acetate and Exemestane in Patients With Recurrent Ovarian Granulosa Cell Tumors

Inclusion Criteria: * Physicians should consider the following when evaluating if the patient is appropriate for this protocol: * Patients must have adequate health that permits completion of the study requirements and required follow up * For patients with known human immunodeficiency virus (HIV), hepatitis B virus (HBV), and/or hepatitis C virus (HCV) infection: * HIV-infected patients on effective anti-retroviral therapy with undetectable viral load within 6 months are eligible for this trial * For patients with evidence of chronic hepatitis B virus (HBV) infection, the HBV viral load must be undetectable on suppressive therapy, if indicated * Patients with a history of hepatitis C virus (HCV) infection must have been treated and cured. For patients with HCV infection who are currently on treatment, they are eligible if they have an undetectable HCV viral load * Patients with a prior or concurrent malignancy whose natural history or treatment does not have the potential to interfere with the safety or efficacy assessment of the investigational regimen are eligible for this trial In addition: * The effects of the combination of darolutamide, leuprolide acetate, and exemestane on the developing human fetus are unknown. For this reason, and because androgen receptor inhibitor agents as well as other therapeutic agents used in this trial are known to be teratogenic, participants of child-bearing potential must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) during study therapy and for 1 month following the completion of study therapy. Should a participant become pregnant or suspect pregnancy while participating in this study, they should inform their treating physician immediately * Submission of tissue is required. Investigators should check with their pathology department regarding release of tissue before approaching patients about participation in the trial * Histologically confirmed diagnosis of recurrent adult-type granulosa cell tumor * Patient must have measurable disease. Measurable disease is defined in the protocol per Response Evaluation Criteria in Solid Tumors (RECIST) 1.1 criteria. 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 CT or MRI. Lymph nodes must be ≥ 15 mm in short axis when measured by CT or MRI * Patient must have had ≥1 treatment regimen * Subject must have progressed on an aromatase inhibitor (letrozole, exemestane, anastrozole) in a prior treatment line * Age ≥ 18 years * Eastern Cooperative Oncology Group (ECOG) performance status of ≤ 2 * Not pregnant and not nursing * Absolute neutrophil count (ANC) ≥ 1,500 cells/mm\^3 * Platelets ≥ 100,000 cells/mm\^3 * Hemoglobin ≥ 8 g/dl * Creatinine clearance (CrCL) of ≥ 30 mL/min by the Cockcroft-Gault formula * Total bilirubin ≤ 1.5 x institutional upper limit of normal (ULN) (patients with known Gilbert's disease who have bilirubin level ≤ 3 x ULN may be enrolled) * Aspartate aminotransferase (AST) and alanine aminotransferase (ALT) ≤ 1.5 x institutional ULN * Patients with known history or current symptoms of cardiac disease, or history of treatment with cardiotoxic agents, should have a clinical risk assessment of cardiac function using the New York Heart Association Functional Classification. To be eligible for this trial, patients should be class 2B or better * No active infection requiring parenteral antibiotics * Patients with current evidence of intra-abdominal abscess, abdominal/pelvic fistula (not diverted), gastrointestinal perforation, gastrointestinal (GI) obstruction, and/or need for drainage nasogastric or gastrostomy tube * The patient or a legally authorized representative must provide study-specific informed consent prior to study entry and, for patients treated in the United States (U.S.), authorization permitting release of personal health information Exclusion Criteria: * Prior treatment with AR inhibitors * Known hypersensitivity to the study drugs or their ingredients