Hematocrit >= 25% (may be reached by transfusion) Hematocrit > 30% Hematocrit <30 percent or Hemoglobin < 10 g/dL Hematocrit >= 27% Hematocrit >= 28% obtained < 4 weeks prior to starting treatment Hematocrit (Hct) >= 28% within 30 days of enrollment to study Hematocrit < 27% Hematocrit < 30% Documented adequate hematocrit > 35% for males and 33% for females DONOR: Has not developed a new malignancy requiring chemotherapy or radiation in the interval since apheresis for initial hematocrit (HCT) Hematocrit >= 30% Hematocrit >= 27.0% Adequate hematocrit independent of red cell transfusions Hematocrit >= 30 performed within 60 days of enrollment Hematocrit (Hct) less than or equal to 24% Hematocrit >= 28% Hematocrit > 25% Hematocrit ?30% Hematocrit >= 30% Hematocrit of greater than 30% DONOR: Hematocrit > 35% Hematocrit >= 30% Hematocrit < 30% Hematocrit >= 29% Hematocrit >= 30% DONOR: Hematocrit > 35% for males and 33% for females DONOR: hemoglobin/hematocrit; 12.5-18 g/dl, 38 to 54% Hematocrit >= 30%, may be reached by transfusion Hematocrit >= 27.0% Hematocrit (HCT) >= 30% Hematocrit ? 25% or hemoglobin ?9 g/100 mL Hematocrit > 25% Hematocrit at screening and at initiation of idasanutlin > 40% Hematocrit > 29% within 14 days prior to treatment initiation Hematocrit > 21% Hematocrit (HCT) >= 30% Hematocrit > 50% Hematocrit >= 29% Hematocrit > 29% Significant anemia with hemoglobin level less than 7 g/dL or a hematocrit less than 21% Anemia (hematocrit < 28%) Anemia (hematocrit < 28%) Hematocrit >= the lower institutional limit Hematocrit >= 29% Hemoglobin >= 10 g/dL or hematocrit >= 30% Hemoglobin >= 10 g/dL or hematocrit >= 30% obtained =< 45 days prior to randomization Hematocrit within normal institutional limits Unacceptable hemogram: hematocrit < 34% Hematocrit < 22% Hematocrit < 22% Hematocrit > 25% Hemoglobin greater than or equal to 9.0 g/dL Hemoglobin must be greater than or equal to 9 g/dL. Hemoglobin greater than or equal to 9.0 g/dL Hemoglobin greater than 8.0 g/dl Hemoglobin more than or equal to 9 g/dL Hemoglobin greater than 8.0 g/dl Hemoglobin greater than 8.0 g/dl Subjects with hemoglobin values at the screening visit equal to or greater than 12.0 g/dL Hemoglobin greater than or equal to 8.0 g/dL Hemoglobin greater than 8.0 g/dl Hemoglobin greater than or equal to 8 g/dL Hemoglobin greater than or equal to 9 g/dL Hemoglobin greater than or equal to 8.0 g/dL Hemoglobin greater than or equal to 10.0 gm/dL (transfusion independent) hemoglobin must be greater than or equal to 9 g/dL. (Note: Patient must have discontinued growth factors greater than or equal to two weeks prior to entry labs.) Hemoglobin greater than or equal to 8.0 Stable hemoglobin greater than or equal to 8.0 g/dl Hemoglobin must be greater than or equal to 9 g/dL. Hemoglobin greater than 8.5 g/dL Hemoglobin level: must be greater than 9 g/dL Hemoglobin greater than 8.0 g/dl Hemoglobin greater than 8.0 g/dl Hemoglobin greater than or equal to 8.0 g/dL Hemoglobin greater than or equal to 9 g/dL; patients may not have had a transfusion within 7 days of screening assessment Hemoglobin greater than or equal to 8.5 g/dL (may be receiving supportive therapy) hemoglobin must be greater than or equal to 9 g/dL. Hemoglobin greater than or equal to 9.0 g/dL Hemoglobin greater than or equal to 9 g/dL Hemoglobin greater than or equal to 9 g/dL Hemoglobin (Hgb) greater than or equal to 9 g/dL Hemoglobin greater than 8.0 g/dL Adequate bone marrow function as evidenced by ANC greater than 1.5 x 10^9/L, hemoglobin greater than 10.0 g/dL, and platelet count greater than 100 x 10^9/L. Hemoglobin greater than 8.0 g/dl Hemoglobin greater than or equal to 9 gm/dl Hemoglobin greater than 8.0 g/dl Patients must have a pretreatment granulocyte count (i.e., segmented neutrophils + bands) of greater than 1,000/Fl, a hemoglobin level of greater than or equal to 9.0 gm/dL and a platelet count of greater than 75,000/dL. Hemoglobin greater than or equal to 9.0 g/dL Hemoglobin greater than 8.0 g/dl Hemoglobin greater than or equal to 500/uL Hemoglobin greater than or equal to 9 g/dL Subjects with hemoglobin values at the screening visit equal to or greater than 12.0 g/dL Severe sickle cell disease [Hemoglobin SS (Hb SS), Hemoglobin SC (Hb SC) or Hemoglobin SBeta thalassemia (Hb S?) genotype] with at least 1 of the following manifestations (a-e): Hemoglobin (Hb) > 9 g/dL within 3 weeks prior to study registration Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) greater than or equal to 9.0 g/dL Hemoglobin (Hb) concentration < 8.0 g/dL Adequate bone marrow function (hemoglobin [Hb] ? 9.0 g/dL [subjects may be transfused to Hb ? 9.0 g/dL]; platelets ? 100 × 109cells/L; absolute neutrophil count [ANC] ? 1.5 × 109 cells/L without the use of hematopoietic growth factors). Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) value > 9 g/dL Hb <70 g/L (<7.0 g/dl) and/or transfusion dependency Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) > 8.0 g/dL Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) ? 9 Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) at least 8.0 grams per deciliter (g/dL) at baseline (blood transfusions are allowed during the screening period to correct Hb values less than 8.0 g/dL). Hemoglobin (Hb) at least 9 g/dL (or 5.69 mmol/L) at baseline (blood transfusions, hematopoietic growth factors and hematinics are not allowed during the 7 days prior to screening to correct Hb values less than 9 g/dL) Hemoglobin (Hb) > 9 g/dl Hemoglobin (Hb) < 8.0 g/dL Hemoglobin (Hb) >= 9.0 g/dL (For both cohorts A and B): Hemoglobin (Hb) > 9 G/dL Hemoglobin (Hb) ?5.5 and ?10.5 g/dL during screening Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) > 9.0 g/dL within 7 days prior to enrollment; Note: the use of transfusion or other intervention to achieve Hb >= 9.0 g/dL is acceptable Hemoglobin (Hb) > 9 g/dl Hemoglobin (Hb) level < 8 gm/dl Hemoglobin (Hb) ? 9 g/dL Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) < 8 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) ? 10 g/dL Hemoglobin (Hb) >= 6.0 mmol/L Hemoglobin (Hb) level < 9 g/dL Hemoglobin (Hb) >= 9.0 g/dL (transfusion independent) Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) >= 9.0 g/dL Hemoglobin (Hb) > 9 g/dL Eligible diagnoses: patients with sickle cell anemia such as sickle cell anemia (hemoglobin [Hb] SS), Hb S/ beta° thalassemia, Hb S/beta positive (+) thalassemia, Hb SC disease, Hb SE disease, Hb SD disease, Hemoglobin SO-Arab disease Hb S/hereditary persistence of fetal hemoglobin; other significant hemoglobinopathies that also fulfills a criterion from below Hemoglobin (Hb) ? 9 g/dL Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) >= 9 g/dl Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) > 8.0 g/dL Hemoglobin (Hb) at least 8 g/dL at baseline (blood transfusions are allowed during the screening period to correct Hb values less than 8 g/dL) Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) >= 9.0 g/dl DONOR: Anemia (hemoglobin [Hb] < 11 gm/dl) or thrombocytopenia (< 100,000/ul) Polycythemia Vera (2 major criteria required)\r\n* Hemoglobin (Hb) > 18.5g/dl (male) or 16.5g/dl (female) or \r\n* Hematocrit (HCT) > 99 percentile reference range or \r\n* Elevated red cell mass (> 25% above mean predicted value) or \r\n* Hb > 17g/dl (male) or 15g/dl (female) if associated with a sustained rise from baseline with no apparent cause (e.g. treated iron deficiency)\r\n* Presence of JAK2V617F Hemoglobin (Hb) >= 9 g/dl for males and >= 8 g/dl for females Hemoglobin (Hb) <9 g/dL (90g/L) Hemoglobin (Hb) greater than or equal to 8.5 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) > 9 gm/l Prior to cyclophosphamide and T cell infusions: hematocrit (Hct) =< 24% or hemoglobin (Hb) =< 8 g/dL Hemoglobin (Hb) > 10 g/dl Hemoglobin (Hb) > 9.0 g/dL within 7 days prior to enrollment; note: the use of transfusion or other intervention to achieve Hb >= 9 g/dL is acceptable (within 7 days prior to registration) Hemoglobin (Hb) >= 9 g/dL without transfusion for 3 weeks Hemoglobin (Hb) < 8 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) >= 9 g/dL Hematocrit (Hct) =< 24% or hemoglobin (Hb) =< 8 g/dL Hb level ?9 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) greater than or equal 8.5 g/dL Hemoglobin (Hb) >= 8 g/dl Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) >= 9 mg/dl Hemoglobin (Hb) > 9g/dL MATCHED RELATED DONOR: Anemia (hemoglobin [Hb] < 10 gm/dl) or thrombocytopenia (< 100,000/ul) Hemoglobin (Hb) at least 9 g/dL (or 5.69 mmol/L) at baseline (blood transfusions, hematopoietic growth factors and hematinics are not allowed during the 7 days prior to screening to correct Hb values less than 9 g/dL) Anemia (hemoglobin [Hb] < 10 g/L) Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) < 8 g/dL Hemoglobin (Hb) ? 9 g/dL Platelets ? 100 x 10^9, Hb ? 90 g/L, ANC ? 1.5 x 10^9/L. Hemoglobin (Hb) level < 9 gm/dl Hemoglobin (Hb) > 8 gr/dL not supported by transfusions Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) greater than or equal to 10g/dL at baseline (blood transfusions,hematopoietic growth factors and hematinics are allowed during the Prerandomization Phase to correct Hb values less than 10g/dL). Hemoglobin (Hb) >= 9 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) 9 >= g/dl Hemoglobin (Hb) > 9 g/dL Hemoglobin (Hb) > 8 g/dL Hemoglobin (Hb) > 9 g/dL Hemoglobin >= 9 gm/dl prior to biopsy (can be transfused) Hemoglobin > 8 gm/dL, patients may be transfused with red blood cells (RBC’s) Hemoglobin greater than 10 gm/dL (can be transfused); hemoglobin < 10 gm/dL due to operative blood loss is permitted Hemoglobin >= 8.0 gm/dL (can be transfused) Hemoglobin >= 8 gm/dL (may be transfused to achieve this level), AND Hemoglobin >= 9 gm/mcl (patients may be transfused to meet this requirement) Hemoglobin >= 8 gm/dL (can be transfused) within two weeks prior to enrollment Hemoglobin >= 9 gm/dL (may be transfused) Hemoglobin >= 10 gm/dl; eligibility level for hemoglobin may be reached by transfusion Hemoglobin >= 8.0 gm/dL; transfusion permitted to achieve this level Hemoglobin >= 9 gm/dL before starting therapy; eligibility level for hemoglobin may be reached by transfusion Hemoglobin level >= 9 g/dL Participants with hemoglobin level >= 8 g/dL, within 21 days of initiation of protocol therapy; transfusion may be used to meet hemoglobin eligibility criteria Participants with hemoglobin level < 8 g/dL, within 21 days of initiation of protocol therapy; transfusion may be used to meet hemoglobin eligibility criteria Performed within 14 days (+ 3 working days) prior to registration: Hemoglobin > 10 gm/dl (may be reached by transfusion). Hemoglobin (Hgb) >= 10 g/dL; eligibility level for hemoglobin may be reached by transfusion, within 14 day prior to registration Hemoglobin >= 9 g/dL (may transfuse or use erythropoietin to achieve this level) Hemoglobin >= 8.0 g/dl (eligibility level for hemoglobin may be reached by transfusion) Hemoglobin >= 10 gm/dl; eligibility level for hemoglobin may be reached by transfusion Hemoglobin >= 10 gm/dL (performed within 14 days prior to registration); eligibility level for hemoglobin may be reached by transfusion patients who have a minimum hemoglobin level of 9 Hemoglobin >= 10 g/dL. Eligibility level for hemoglobin may be reached by transfusion. Hemoglobin level < 8.0 g/dL Within 14 days of subject registration: Hemoglobin > 9 g/dL (which may be reached by transfusion) Hemoglobin > 9 g/dL (which may be reached by transfusion) Hemoglobin >= 9.0 g/dl (may be reached by transfusion) Hemoglobin level >= 11.0 g/dl Participants with hemoglobin level < 8 g/dL, within 21 days of initiation of protocol therapy; transfusion may be used to meet hemoglobin eligibility criteria Hemoglobin >= 9.0 g/dl (may be reached by transfusion) Performed within 14 days of patient registration: Hemoglobin > 9 g/dL(which may be reached by transfusion) Patient must have a hemoglobin >= 9 gm/dl (this may be achieved by transfusion if needed) obtained within 14 days before registration; if a patient receives packed red blood cell transfusion to achieve a hemoglobin level of >= 9 gm/dl, the hemoglobin level needs to be stable (no drop by more than 1 gm/dl from the post-transfusion hemoglobin level) for at least 1 week Participants with hemoglobin level < 8.0 g/dL, at time of screening; transfusion may not be used to meet eligibility criteria within 7 days of obtaining screening evaluation Baseline hemoglobin level of > 7.0 g/dl Hemoglobin > 10 gm/dl; eligibility level for hemoglobin may be reached by transfusion At least 4 weeks (28 days) prior to registration: Hemoglobin > 8 g/dL (which may be reached by transfusion) Participants with hemoglobin level < 8.0 g/dL, at time of screening; transfusion may not be used to meet eligibility criteria within 7 days of obtaining screening evaluation Hemoglobin >= 10 gm/dl; eligibility level for hemoglobin may be reached by transfusion Hemoglobin >= 10 gm/dl (may be reached by transfusion) Hemoglobin >= 9.0 g/dl (may be reached by transfusion) Hemoglobin >= 9 g/dL (transfusion to this level is allowed) Hemoglobin >= 10 gm/dl (eligibility level for hemoglobin may be reached by transfusion) The hemoglobin level must be greater than 9 g/dL; low hemoglobin counts may be corrected with transfusion to achieve eligibility for study Hemoglobin >= 10.0 g/dL; note: this level may be reached by transfusion Patients must have documented hemoglobin level of 10g/dL or higher Hemoglobin >= 9 mg/dl (NOTE: eligibility level for hemoglobin may be reached by transfusion) Hemoglobin level of at least 10 g/dL (transfusion is allowed to achieve hemoglobin level of at least 10 g/dL). Hemoglobin level of >= 9 g/dL Hemoglobin of >=10 g/dl within 2 weeks of enrollment; if the patient has not had blood drawn for a hemoglobin level in the past two weeks, one will be done to determine the eligibility Hemoglobin of >= 10 g/dl within 2 weeks of enrollment; if the patient has not had blood drawn for a hemoglobin level in the past two weeks, one will be done to determine the eligibility A hemoglobin level < 10g/dl Have a hemoglobin level of >= 10 g/dL within 2 weeks of enrollment Hemoglobin level of >= 8 g/dL within 2 weeks of enrollment; if the patient has not had blood drawn for a hemoglobin level in the previous two weeks, one will be performed to determine eligibility; patients with a hemoglobin level < 9g/dL will be referred for treatment of anemia Eligibility level for hemoglobin may be reached by transfusion