Regorafenib and Methotrexate in Treating Participants With Recurrent or Metastatic KRAS Mutated Non-Small Cell Lung Cancer

This phase II trial studies how well regorafenib works together with methotrexate in treating participants with metastatic non-squamous non-small cell lung cancer with tumors that harbor a KRAS mutation. Regorafenib is a targeted therapy that works on different cancer pathways to stop the growth of tumor cells and stop them from spreading. Methotrexate may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Giving regorafenib and methotrexate together may work in treating participants with KRAS mutated non-small cell lung cancer.