Inclusion Criteria:

- Diagnosis of thyroid cancer, that is metastatic or unresectable and for which
standard curative or palliative measures do not exist or are no longer effective.

- All patients will have been required to have had sorafenib for entry and have had
documented progression while on previous treatment with sorafenib.

- Measurable disease defined as at least one malignant lesion that can be accurately
measured on computerized tomography (CT) and/or magnetic resonance imaging (MRI)
scan.

- ECOG performance status < 2.

- Life expectancy greater than 3 months.

- Intellectual, emotional, and physical ability to comply with oral medication.

Exclusion Criteria:

- Restrictions regarding certain prior treatments will apply.

- Significant medical disease including: uncontrolled congestive heart failure; active
symptoms of coronary artery disease, uncontrolled seizure disorder; active infection;
uncontrolled diabetes mellitus; requirement for chronic high dose corticosteroid
treatment (Topical or inhaled corticosteroids are allowed); requirement for
concurrent immunosuppressive drug(s); active autoimmune disease.

- Organ allografts.

- Known HIV-infection (HIV testing is not required for participation).

- Pregnant or breast feeding. Women of childbearing potential and sexually active
males must be advised to take precautions to prevent pregnancy during treatment

- History of second cancer (except adequately treated basal cell or squamous cell skin
cancer, in situ treated cervical cancer, colon cancer or melanoma, or any other
cancer for which the patient has been disease-free for three or more years).

- Known hypersensitivity to everolimus or other rapamycins (e.g., sirolimus,
temsirolimus) or to its excipients

- Use of any experimental therapy within 4 weeks prior to baseline evaluations done
prior to enrollment (with the exception of sorafenib which may be continued until
treatment start). Therefore, all experimental treatments other than sorafenib must
be discontinued 4 weeks prior to baseline studies or enrollment.

- Patients who did not previously tolerate sorafenib at 200 mg once daily are excluded
from the study.