Patients who have previously received a solid organ transplant are not eligible ALLOGENEIC TRANSPLANTATION: Patients who have received a prior solid organ transplantation are not eligible CRITERIA FOR ALLOGENEIC TRANSPLANTATION Patients who have received a prior solid organ transplantation are not eligible Patients who have received a prior solid organ transplantation are not eligible Patients who have received prior solid organ transplantation are not eligible Patients who have received a prior solid organ transplantation are not eligible Relapsed malignancy after transplantation Patients who have received a prior solid organ transplantation are not eligible Prior organ allograft or allogeneic transplantation, if the transplanted tissue is still in place Prior allogeneic transplantation Patients who have received a prior solid organ transplantation are not eligible Patients who have received a prior solid organ transplantation are not eligible Patients with prior allogeneic bone marrow transplantation or prior solid organ transplantation Patients must not have undergone prior allogeneic bone marrow transplantation or prior solid organ transplantation Patient must have a history of solid organ transplantation Patients with prior allogeneic bone marrow transplantation, double umbilical cord blood transplantation (dUCBT) or prior solid organ transplantation Patients with prior allogeneic bone marrow transplantation or prior solid organ transplantation History of allogeneic organ transplantation Patients who have received a prior solid organ transplantation are not eligible Patients with prior allogeneic bone marrow transplantation or prior solid organ transplantation Patients who have received a prior solid organ transplantation are not eligible Patients with prior allogeneic bone marrow transplantation or prior solid organ transplantation Patients who have received a prior solid organ transplantation are not eligible Patients who have received a prior solid organ transplantation are not eligible Patients who have received prior solid organ transplantation are not eligible Patients who have received a prior solid organ transplantation are not eligible Patients who have received a prior solid organ transplantation are not eligible