Thyroid Gland Oncocytic Carcinoma

This phase II trial tests how well vemurafenib and cobimetinib work in treating patients with high risk differentiated thyroid carcinoma with BRAFV600E mutation, in preparation for radioactive iodine therapy. Vemurafenib and cobimetinib are used in patients whose cancer has a mutated (changed) form of a gene called BRAF. They are in a class of medications called kinase inhibitors. They work 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 vemurafenib and cobimetinib may work better to treat patients with high risk differentiated thyroid carcinoma with BRAFV600E mutation, in preparation for radioactive iodine therapy.