Stage IVB Oropharyngeal (p16-Negative) Carcinoma AJCC v8

Testing the Addition of the Drug BMX-001, a Radioprotector, or a Placebo to the Usual Chemoradiation Therapy for Patients With Head and Neck Cancer

Comparing Radiation Plus Cetuximab to Radiation Plus Chemotherapy in People With Head and Neck Cancer Who Cannot Receive Cisplatin

Testing the Addition of Chemotherapy or Chemo-Immunotherapy to the Usual Surgery for Advanced Head and Neck Cancer

Testing the Addition of Ipatasertib to Usual Chemotherapy and Radiation for Head and Neck Cancer

Blood Tests and Questionnaires in Studying Adherence to Preventative Swallowing Exercises in Participants With Metastatic Head and Neck Cancer

A Vaccine (PDS0101) Alone or in Combination With Pembrolizumab for the Treatment of Locally Advanced Human Papillomavirus-Associated Oropharynx Cancer

Testing the Addition of M3814 (Peposertib) to Radiation Therapy for Patients With Advanced Head and Neck Cancer Who Cannot Take Cisplatin

Testing the Addition of an Anti-Cancer Drug, Camonsertib, to Radiation Therapy for Recurrent Head and Neck Squamous Cell Carcinoma

Radiation Therapy With Durvalumab or Cetuximab in Treating Patients With Locoregionally Advanced Head and Neck Cancer Who Cannot Take Cisplatin

Comparing an Investigational Scan (F-18 NaF PET/CT) to Standard of Care Imaging (F-18 FDG PET/CT) for Evaluating Vascular Complications in Patients Receiving Radiation Therapy for Head and Neck Cancer

Celecoxib Through Surgery and Radiation Therapy for the Treatment of Advanced Head and Neck Cancer

Sodium Thiosulfate in Preventing Ototoxicity for Squamous Cell Cancer Patients Undergoing Chemoradiation With Cisplatin

Digital PET Scan for the Prediction of Outcomes in Patients With Locally Advanced Oropharyngeal Cancer