This phase I/II trial tests the safety and efficacy of split-course adaptive radiation therapy in combination with immunotherapy with or without chemotherapy for the treatment of patients with stage IV lung cancer or lung cancer that that has spread to nearby tissue or lymph nodes (locally advanced). Radiation therapy is a standard cancer treatment that uses high energy rays to kill cancer cells and shrink tumors. Split-course adaptive radiation therapy uses patient disease response to alter the intensity of the radiation therapy. Immunotherapy with monoclonal antibodies such as pembrolizumab, ipilimumab, cemiplimab, atezolizumab or nivolumab may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Chemotherapy drugs like carboplatin, pemetrexed, and paclitaxel work in different ways to stop the growth of cancer cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving split-course adaptive radiation therapy with standard treatments like immunotherapy and chemotherapy may be more effective at treating stage IV or locally advanced lung cancer than giving them alone.

This phase II trial studies how well cabozantinib works in combination with nivolumab and ipilimumab in treating patients with rare genitourinary (GU) tumors that has spread from where it first started (primary site) to other places in the body. Cabozantinib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Immunotherapy with monoclonal antibodies, such as nivolumab and ipilimumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Giving cabozantinib, nivolumab, and ipilimumab may work better in treating patients with genitourinary tumors that have no treatment options compared to giving cabozantinib, nivolumab, or ipilimumab alone.

This phase II trial tests whether using genetic testing of tumor tissue to select the optimal treatment regimen works in treating patients with clear cell renal cell (kidney) cancer that has spread to other places in the body (advanced or metastatic). The current Food and Drug Administration (FDA)-approved regimens for advanced kidney cancer fall into two categories. One treatment combination includes two immunotherapy drugs (nivolumab plus ipilimumab), which are delivered by separate intravenous infusions into a vein. The other combination is one immunotherapy drug (nivolumab infusion) plus an oral pill taken by mouth (cabozantinib). Nivolumab and ipilimumab are "immunotherapies" which release the brakes of the immune system, thus allowing the patient's own immune system to better kill cancer cells. Cabozantinib is a "targeted therapy" specifically designed to block certain biological mechanisms needed for growth of cancer cells. In kidney cancer, cabozantinib blocks a tumor's blood supply. The genetic (DNA) makeup of the tumor may affect how well it responds to therapy. Testing the makeup (genes) of the tumor, may help match a treatment (from one of the above two treatment options) to the specific cancer and increase the chance that the disease will respond to treatment. The purpose of this study is to learn if genetic testing of tumor tissue may help doctors select the optimal treatment regimen to which advanced kidney cancer is more likely to respond.

This phase II trial tests how well nivolumab and ipilimumab immunotherapy with or without cabozantinib works in treating patients with nasopharyngeal cancer that has come back (after a period of improvement) (recurrent), has spread from where it first started (primary site) to other places in the body (metastatic), or for which no treatment is currently available (incurable). Immunotherapy with monoclonal antibodies, such as nivolumab and ipilimumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Cabozantinib is in a class of medications called kinase inhibitors. It works by blocking the action of an abnormal protein that signals cancer cells to multiply. This helps slow or stop the spread of cancer cells. Giving immunotherapy with nivolumab and ipilimumab and targeted therapy with cabozantinib may help shrink and stabilize nasopharyngeal cancer.