Patients receive vaccine comprising Wilms-tumor 1 (WT-1) analog peptide emulsified in Montanide ISA-51 subcutaneously (SC) once in weeks 0, 4, 6, 8, 10, and 12 and sargramostim (GM-CSF) SC twice in weeks 0, 4, 6, 8, 10, and 12 (on the day of and 2 days prior to each vaccination). Patients who have an immunologic response and have no disease progression may receive up to 6 more vaccinations approximately 1 month apart.