I. To determine the radiographic response rate (by RECIST criteria) of IV VEGF Trap after four cycles (approximately 8 weeks) of therapy, as well as the 6-month progression-free-survival (PFS) rate (as part of a composite primary outcome measure), in patients with recurrent and/or metastatic differentiated thyroid carcinoma of follicular cell origin (D-TC-FCO; comprising papillary, follicular, Hurthle cell, and respective variants) not amenable to RAI or curative surgery.