Within weeks prior to screening step registration and within weeks prior to treatment step registration: Total bilirubin =< . X institutional upper limit of normal (ULN) (unless documented Gilberts syndrome, for which bilirubin =< x institutional ULN is permitted) Total bilirubin =< . x upper limit of normal (ULN) unless isolated hyperbilirubinemia attributed to Gilberts syndrome Total bilirubin within normal institutional limits (unless patient has Gilberts syndrome in which total bilirubin should be =< x upper limit of normal [ULN]) Total bilirubin < . X upper limit of normal unless known diagnosis of Gilberts disease Total bilirubin =< . x institutional upper limit of normal, unless due to Gilberts syndrome Total bilirubin =< . x upper limit of normal (ULN) (unless hepatic dysfunction is caused by cGVHD) Total serum bilirubin =< . x upper limit of normal (ULN), unless due to Gilberts syndrome Total bilirubin =< . x upper limit of normal (ULN), unless due to Gilberts syndrome or hemolysis, in which case =< . x ULN is allowed Total bilirubin =< . x upper limit of normal (ULN) (unless Gilberts disease), =< days prior to CD Total serum bilirubin < x upper limit of normal (ULN), unless due to Gilberts syndrome, hemolysis or the underlying leukemia approved by the principal investigator (PI) Bilirubin ? . x ULN, unless due to Gilberts syndrome (unless considered due to leukemic organ involvement) Direct bilirubin ? X institutional upper limit of normal (ULN) (unless due to known Gilberts syndrome or compensated hemolysis directly attributable to CLL) Adequate hepatic function including total bilirubin < x upper limit of normal (ULN) unless increase is due to Gilberts disease or leukemic involvement Total bilirubin =< . x upper limit of normal (ULN), unless due to Gilberts disease obtained =< days prior to registration Total bilirubin > x institutional upper limit of normal (ULN) (unless documented Gilberts syndrome) Total serum bilirubin =< x upper limit of normal (ULN), unless due to Gilberts syndrome. Total bilirubin < .x upper limit of normal (ULN) unless increase is due to Gilberts disease or leukemic involvement Bilirubin < . x upper limit of normal (ULN) unless believed due to leukemic infiltration Total serum bilirubin =< x upper limit of normal (ULN), unless due to Gilberts syndrome. Total bilirubin =< . x upper limit of normal (ULN) unless elevation due to Gilberts syndrome obtained =< days prior to registration Total bilirubin =< . x upper limit of normal (ULN) (unless related to Gilberts or Meulengrachts syndrome) Total bilirubin =< . x upper limit of normal (ULN), unless due to Gilberts disease obtained =< days prior to registration Serum bilirubin =< . x institutional upper limit of normal (ULN) unless diagnosed with Gilberts syndrome. Total bilirubin =< . x institutional upper limit of normal (ULN) (unless due to Gilberts disease or disease-related hemolysis, then =< . x ULN) Total bilirubin =< . ULN (upper limit of normal), unless due to Gilberts syndrome LYMPHODEPLETION: Bilirubin =< . x upper limit of normal (ULN) unless attributed to Gilberts syndrome, obtained within hrs prior to procurement Obtained =< days prior to registration: Total bilirubin =< . x upper limit of normal (ULN) unless due to Gilberts syndrome Direct bilirubin =< X institutional upper limit of normal (ULN) (unless due to known Gilberts syndrome or compensated hemolysis directly attributable to CLL) Bilirubin =< . x upper limit of normal (ULN) unless due to Gilberts syndrome Total bilirubin =< . times upper limit of normal (ULN) at the screening visit unless an alternate nonmalignant etiology exists (e.g., Gilberts disease) Total bilirubin =< . times upper limit of normal (ULN) at the screening visit unless an alternate nonmalignant etiology exists (eg, Gilberts disease) Bilirubin =< x the upper limit of normal (except Gilberts syndrome) PHASE I: Total bilirubin =< . x upper limit of normal (ULN) (unless Gilberts disease) Total bilirubin > . x upper limit of normal (ULN) (unless evidence of Gilberts disease) Total serum bilirubin =< . x upper limit of normal (ULN) unless attributable to Gilberts syndrome Total bilirubin =< x institutional upper limit of normal, unless there is a known history of Gilberts disease Total bilirubin =< . x the upper limit of the normal range (ULN) unless related to disease or patient known to have underlying Gilberts disease Total bilirubin =< x upper limit of normal (ULN) (unless related to lymphoma or Gilberts disease) OR =< x ULN for subjects with documented or suspected Gilberts disease, or related to involvement of the liver by the lymphoma, obtained =< days prior to registration Total bilirubin =< . x the upper limit of normal (ULN) unless considered due to Gilberts syndrome Total bilirubin =< . x upper limit of normal (ULN), unless due to Gilberts syndrome (< if liver involvement with primary tumor) Bilirubin =< x upper limit of normal (ULN) (unless documented Gilberts syndrome, for which bilirubin =< x upper limit of normal [ULN] is permitted) obtained within weeks prior to registration RANDOMIZED PHASE II (ARMS K AND L): Bilirubin =< x upper limit of normal (ULN) (unless documented Gilberts syndrome, for which Bilirubin =< x upper limit of normal [ULN] is permitted); obtained within weeks prior to registration Total serum bilirubin < x upper limit normal (unless due to hemolysis, Gilberts syndrome, or ineffective erythropoiesis) Total bilirubin =< . x upper limit of normal (ULN) (unless considered due to Gilberts syndrome or hemolysis) Within days prior to day of protocol therapy unless otherwise stated: Total bilirubin =< . X upper limit of normal (ULN) OR if Gilberts syndrome =< . X ULN Serum bilirubin =< . x institutional upper limit of normal (ULN) unless diagnosed with Gilberts syndrome. Total bilirubin =< . institutional upper limit of normal (ULN), unless known Gilberts syndrome has been diagnosed Total bilirubin =< . x upper limit of normal unless clearly related to Gilberts disease, hemolysis or leukemic infiltrate Serum bilirubin greater than times the upper limit of normal, unless attributed to Gilberts syndrome Total bilirubin =< . x upper limit of normal (ULN) (unless Gilberts syndrome or disease infiltration of the liver is present) Total bilirubin < . times the upper limit of normal (ULN) unless due to Gilberts disease or hemolysis Total bilirubin =< . x institutional upper limit of normal; unless due to Gilberts syndrome Total bilirubin =< . x upper limit of normal (ULN) (unless Gilberts syndrome or disease infiltration of the liver is present) Total bilirubin =< .X upper limit of normal (ULN) unless secondary to Gilberts disease Total serum bilirubin =< . x upper limit of normal (ULN) unless due to Gilberts disease Total bilirubin < X institutional upper limit of normal (ULN) unless predominantly indirect and therefore likely due to hemolysis or Gilberts syndrome Total bilirubin =< . X upper limit of normal (ULN) unless history of Gilberts syndrome documented prior to first-line treatment of cancer and other liver function tests are within normal limits Total bilirubin =< . X upper limit of normal (ULN) (unless bilirubin rise due to Gilberts syndrome) Total bilirubin =< . times the upper limit of normal (ULN) unless due to Gilberts disease or hemolysis Total bilirubin =< . x upper limit of normal (ULN), unless due to Gilberts syndrome Total bilirubin < . times institutional upper normal limit (unless due to disease involvement of liver, hemolysis or a known history of Gilberts disease) Total bilirubin =< X institutional upper limit of normal unless nd to Gilberts disease Total bilirubin =< . x upper limit of normal (ULN) unless due to Gilberts disease PART B: Total bilirubin =< . x institutional upper limit of normal (ULN), unless due to Gilberts syndrome Total bilirubin =< . x upper limit of normal (ULN) unless Gilberts syndrome or disease infiltration of the liver is present Total bilirubin =< . x institutional upper limit of normal (unless elevated from documented Gilberts syndrome) Bilirubin =< x the upper limit of normal (except Gilberts syndrome) Serum total bilirubin =< . x upper limit of normal (ULN) (unless known Gilberts disease) Total bilirubin =< . upper limit of normal (ULN) for the laboratory unless resulting from hemolysis Total serum bilirubin < x upper limit of normal (unless due to hemolysis or Gilberts syndrome, then no upper limit) POST-TRANSPLANT ELIGIBILITY CRITERIA:\r\n* In complete remission (CR) (including incomplete blood count recovery [CRi] and marrow CR) on bone marrow biopsy for response assessment after HCT (typically day +)\r\n* Patient is within - days after HCT\r\n* Absolute neutrophil count (ANC) >= /uL, platelet count >= ,/uL\r\n* ECOG performance status -\r\n* Adequate major organ function, as defined by AST and ALT =< x upper limit of normal\r\n* Total serum bilirubin < x upper limit of normal (unless due to hemolysis or Gilberts syndrome, then no upper limit)\r\n* Creatinine =< x upper limit of normal unless there is known chronic kidney disease (CKD) (creatinine must be at baseline for subjects with CKD)\r\n* In agreement to use an effective barrier method of birth control to avoid pregnancy during the study and for a minimum of days after study treatment, for all male and female patients who are fertile Total bilirubin =< . upper limit of normal (ULN) (unless Gilberts syndrome or disease infiltration of the liver is present) Liver function tests less than x upper limit of normal range (unless related to medications or Gilberts disease) Total bilirubin =< . x the upper limit of normal (ULN), unless presence of Gilberts syndrome Total bilirubin > institutional upper limit of normal (ULN), unless due to hemolysis or Gilberts disease Total bilirubin > x institutional upper limit of normal (ULN) (unless documented Gilberts syndrome) Total bilirubin =< . X institutional upper limit of normal (unless associated with Gilberts syndrome) Total bilirubin < . x upper limit of reference range (ULRR), unless the patient meets the criteria for Gilberts syndrome Total bilirubin =< . x institutional upper limit of normal (ULN) unless bilirubin rise is due to Gilberts syndrome Total bilirubin < . X institutional upper limit of normal (unless associated with Gilberts syndrome) Total bilirubin =< . x upper limit of normal (ULN) unless due to Gilberts disease Total bilirubin >= . x upper limit of normal (ULN) (unless documented Gilberts) Total bilirubin =< . X institutional upper limit of normal, unless there is a known history of Gilberts disease Within days prior to signing consent: Total bilirubin > upper limit of normal (ULN) (unless the patient has documented Gilberts syndrome) Bilirubin > . x upper limit of normal (ULN) unless with Gilberts syndrome or Bilirubin < . x upper limit of normal (ULN) (unless Gilberts is suspected)