Prior liver transplant History of liver transplant Considered a potential transplant candidate; the attending/treating physician will determine transplant candidacy at the time of consent Liver transplant Residual disease at the time of transplant (bulky or minimal) or post transplant relapse as evidenced by polymerase chain reaction (PCR) positivity, specific cytogenetic abnormalities, an abnormal population on flow cytometry or increased blasts on bone marrow biopsy or in the peripheral blood; minimal residual disease (MRD) will be defined as detection in blood or marrow of any of the following:\r\n* Any leukemia specific marker (such as t(:) or t(:)) documented in the patients leukemia cells pre transplant on a post transplant evaluation\r\n* An immune globulin rearrangement known to be a disease marker for this patient post transplant\r\n* A leukemia specific phenotype post transplant at a level of ? .%\r\n* Mixed donor chimerism (any level) the subject has recovered from transplant-associated toxicities prior to the first dose of GSK, and For subjects with a prior history of allogeneic transplant, Prior liver transplant The patient must be approved for transplant by the treating transplant physician. This includes completion of their pre-transplant workup, as directed by standard Dartmouth Hitchcock Medical Center (DHMC) standard operating procedures (SOPs) (DHMC SOP Pre-transplant Evaluation of Allogeneic Recipient). Measurable disease of multiple myeloma at the time specified by one of the following:\r\n* If no relapse prior to transplant, values obtained at the time of diagnosis\r\n* If disease relapse prior to transplant and the patient did not have treatment for the relapsed disease prior to transplant, the values obtained at the time of relapse immediately prior to the transplant. \r\n* If disease relapse prior to transplant and the patient did have treatment for the relapsed disease prior to transplant, the values obtained prior to this therapy, ie, the time of relapse History of renal or liver transplant Patients who are transplanted at non-US transplant centers Plans to undergo a stem cell transplant prior to progression of disease on this study (these participants should not be enrolled to reduce disease burden prior to transplant) Patient must not be a candidate for liver transplant. Any prior or planned organ transplant (e.g. liver transplant) Patients must be at least days post-transplant Both transplant and non-transplant candidates are eligible The patient must be approved for transplant by the treating transplant physician. This includes completion of their pre-transplant workup, as directed by standard Dartmouth Hitchcock Medical Center (DHMC) standard of procedure (SOP)s (DHMC SOP Pre-transplant Evaluation of allogeneic recipient) Considered transplant-eligible, as determined by the opinion of the investigator at the participating institution; the participating institution does not need to be a transplant center but patients can be referred to a transplant center if needed Liver transplant. Prior transplant within days Additional Eligibility Prior to Transplant Two: Transplant able to occur between day + and day + from transplant one Relapsed or progressive malignancy after transplant, post-transplant lymphoproliferative disease or any secondary malignancy diagnosed after HCT Must be transplant ineligible as determined by their physician, or if transplant eligible, not expect to undergo transplant for at least months after study enrollment. Stem cell harvest and mobilization regimen is acceptable if clinically indicated, but must first be confirmed by the Takeda Medical Monitor. received the transplant < months prior to study Day Prior liver transplant Transplant < months prior to study enrollment Subjects with multiple myeloma (MM), Hodgkins disease (HD) and non-Hodgkins lymphoma (NHL) who are considered eligible for high-dose chemotherapy and autologous PBSC transplant by the transplant team at Kansas University Cancer Center (KUCC); subjects should be enrolled within days of transplant Relapse must have occurred >= days after transplant Living donor liver transplant (LDLT) Prior liver transplant Have had a liver transplant. Subject is likely to be considered for allogeneic transplant in the opinion of the transplant physician (based on age of patient, health, cytogenetics, and/or molecular characteristics) High-risk AML for which transplant is recommend based on cytogenetic, molecular and morphologic features; patients must meet institutional standards for disease control prior to transplant Subject has had a liver transplant Patients may have had autologous transplant; they must be at least days post transplant, and have had recovery of their counts with absolute neutrophil count (ANC) > and platelets greater than K at some point post-transplant, and be without active cytomegalovirus (CMV) or fungal disease Subjects may be enrolled who relapse after autologous stem cell transplant if they are at least months after transplant, and after allogeneic transplant if they are at least months post transplant. Plans to undergo a stem cell transplant prior to progression of disease on this study (these participants should not be enrolled to reduce disease burden prior to transplant) Patients who have had a prior transplant Started screening no earlier than days after transplant, completed screening within days, and randomized no later than days after transplant. The patient must be approved for transplant by the treating Transplant physician; this includes completion of their pre-transplant workup, as directed by standard DHMC SOPs Participants must not have had a prior transplant Prior AP, BC or allo-transplant Transplant < days prior to study enrollment TRANSPLANT RECIPIENT If patients are found to not be in remission at screening, then the patient may be returned to their primary hematologist/oncologist or may receive chemotherapy as per standard of care for the malignant disease; patients for whom this would be their first allogeneic transplant must be in remission (< % malignant blasts in marrow and peripheral blood and no evidence of extramedullary disease) for transplant; patients enrolled on this protocol for their second transplant do not need to have attained remission prior to transplant TRANSPLANT RECIPIENT: History of liver transplant requiring increased immunosuppressive therapy. (Participants on maintenance immunosuppressive therapy after liver transplant are eligible for Part A & B) PRIOR TO POST-TRANSPLANT IMMUNOTHERAPY: Resolution of all transplant related grade III-IV toxicity Patient may be enrolled to days after transplant Must be transplant-eligible per institution guidelines Transplant within weeks Patients regardless of eligibility to liver transplant, who have a comorbid disease that might preclude completion of study follow-up. Patients wanting to pursue transplant Patients cannot be on a transplant list Transplant was more than (>) days prior to study enrollment History of liver transplant. Enrollment on any other transplant related protocols Recent salvage transplant (=< months but >= days post-transplant prior to study enrollment) for relapse History of liver transplant Had a prior liver transplant or is planned to undergo liver transplant during the study period; Four months post liver transplant Transplant ineligibility History of liver transplant Patients who have undergone any prior transplant Has undergone a liver transplant, kidney transplant or nephrectomy. Has undergone a liver transplant, kidney transplant or nephrectomy. Primary malignancy for which the patient received transplant has been stable for months prior to enrollment on study POST-TRANSPLANT STATUS Liver transplant. Patients who have received their transplant at a different transplant center will not be eligible for the study Prior liver transplant - months post-transplant (any number of transplant) Children are not eligible as the transplant program is certified as an adult only transplant program Imaging results from within days prior to transplant (used as baseline measure for documentation of disease status); results may be obtained at a time point greater than days from transplant if obtained per the patients standard of care and with prior sponsor approval Prior liver transplant Subject who is scheduled to have a cord blood transplant or a haploidentical transplant Prior liver transplant Have anticipated in-patient status for to days from the time of transplant.