This study is researching an investigational drug called REGN7075 by itself and in combination with cemiplimab with or without chemotherapy. The study is focused on patients with certain solid tumors that are in an advanced stage. The aim of the study is to see how safe and tolerable REGN7075 is by itself and in combination with cemiplimab (with or without chemotherapy), and to find out what is the best dose of REGN7075 to be given to patients with advanced solid tumors when combined with cemiplimab (with or without chemotherapy). Another aim of the study is to see how effective REGN7075 by itself, or in combination with cemiplimab (with or without chemotherapy), is at treating cancer patients.

The study is also looking at:

* Side effects that may be experienced by people taking REGN7075 by itself and in combination with cemiplimab with or without chemotherapy
* How REGN7075 works in the body by itself and in combination with cemiplimab with or without chemotherapy
* How much REGN7075 is present in the blood when given by itself and in combination with cemiplimab with or without chemotherapy
* To see if REGN7075 by itself and in combination with cemiplimab with or without chemotherapy works to treat cancer by controlling the proliferation of tumor cells to shrink the tumor

This phase II trial tests how well cemiplimab works in treating basal cell carcinoma of the head and neck that has spread to nearby tissue or lymph nodes (locally advanced) before surgery (neoadjuvant). Cemiplimab is a human recombinant monoclonal IgG4 antibody that may allow the body's immune system to work against tumor cells. Giving cemiplimab before surgery may make the tumor smaller and make it easier to remove.

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 III trial compares the effect of adding cemiplimab to standard therapy (surgery with or without radiation) versus standard therapy alone in treating patients with stage III/IV squamous cell skin cancer that is able to be removed by surgery (resectable) and that may have come back after a period of improvement (recurrent). The usual treatment for patients with resectable squamous cell skin cancer is the removal of the cancerous tissue (surgery) with or without radiation, which uses high energy x-rays, particles, or radioactive seeds to kill cancer cells and shrink tumors. Immunotherapy with monoclonal antibodies, such as cemiplimab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Cemiplimab has been approved for the treatment of skin cancer that has spread or that cannot be removed by surgery, but it has not been approved for the treatment of skin cancer than can be removed by surgery. Adding cemiplimab to the usual treatment of surgery with or without radiation may be more effective in treating patients with stage III/IV resectable squamous cell skin cancer than the usual treatment alone.