This phase II MATCH treatment trial investigates the good and bad effects of binimetinib in patients whose cancer has a genetic change called NRAS mutation. Binimetinib blocks proteins called MEK1 and MEK2, which may be needed for cancer cell growth when an NRAS mutation is present. Researchers hope to learn if binimetinib will shrink this type of cancer or stop its growth.
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Inclusion Criteria: * Patients must have met applicable eligibility criteria in the Master MATCH Protocol prior to registration to treatment subprotocol * Patients must have NRAS mutation in codon 12, 13, 61 as determined via the MATCH Master Protocol * Patients must have an electrocardiogram (ECG) within 8 weeks prior to treatment assignment and must have no clinically significant abnormalities in rhythm, conduction or morphology of resting ECG (e.g. complete left bundle branch block, third degree heart block) * Creatinine =\< 1.5 mg/dL, or calculated creatinine clearance (determined as per Cockcroft-Gault) \>= 50mL/min * Patients must have adequate cardiac function: * Left ventricular ejection fraction (LVEF) \>= 50% as determined by a multigated acquisition (MUGA) scan or echocardiogram, * QTc interval =\< 480 ms Exclusion Criteria: * Patients must not have known hypersensitivity to binimetinib or compounds of similar chemical or biologic composition * Patients with melanoma are excluded * Patients must not have any active central nervous system (CNS) lesion (i.e., those with radiographically unstable, symptomatic lesions) and/or leptomeningeal metastases * NOTE: Patients treated with stereotactic radiotherapy or surgery are eligible if the patient remained without evidence of CNS disease progression \>= 3 months. Patients must be off corticosteroid therapy for \>= 3 weeks * Patients must not have a history or current evidence of retinal vein occlusion (RVO) or predisposing factors to RVO (e.g. uncontrolled glaucoma or ocular hypertension, history of hyperviscosity or hypercoagulability syndromes) * Patients must not have a history of retinal degenerative disease * Patients must not have a history of Gilbert's syndrome * Patients must not have uncontrolled arterial hypertension despite medical treatment * Patients must not have active hepatitis B, and/or active hepatitis C infection * Patients must not have neuromuscular disorders that are associated with elevated creatine kinase (CK) (e.g., inflammatory myopathies, muscular dystrophy, amyotrophic lateral sclerosis, spinal muscular atrophy) * Patients must not have impairment of gastrointestinal function or gastrointestinal disease (e.g., ulcerative disease, uncontrolled nausea, vomiting, diarrhea, malabsorption syndrome, small bowel resection) * Patients who have received prior MEK inhibitors are excluded