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
