Hemoglobin >= 9 g/dL, patients may receive transfusion to meet criterion within 30 days of day 1 of study Hemoglobin > 9 g/dL, transfusion permitted Hemoglobin ?9.0 g/dL without transfusion within the 2 weeks prior to Day 1. Hemoglobin >= 8.0 g/dl (without transfusion within the previous 7 days) Hemoglobin < 9 g/dL (< 5.5 mmol/L; previous red blood cell transfusion is permitted) Hemoglobin >= 10 g/dL without transfusion within 4 days prior to enrollment Hemoglobin >= 10 g/dL with no blood transfusion in the past 28 days, =< 5 days prior to C1D1 Hemoglobin >= 9 g/dL without transfusion within 1 week preceding study drug administration. Within 28 days prior to administration of study treatment: Hemoglobin >= 10 g/dL with no pack red blood cell transfusion in the past 28 days Hemoglobin >= 8.0 g/dl, with or without transfusion Hemoglobin 9 g/dl or more; (transfusion permitted) Hemoglobin 9 g/dl or more; (transfusion permitted) Hemoglobin >= 9g/dL (transfusion permitted) Hemoglobin >= 9.0 g/dL (prior transfusion permitted) within 14 days of cycle 1 day 1 Hemoglobin >= 10.0 g/dL with no blood transfusion within 28 days of starting treatment Hemoglobin >= 8 (with or without transfusion) Hemoglobin >= 10.0 g/dL with no blood transfusion in the past 28 days, measured within 28 days prior to administration of study treatment Hemoglobin >= 9 g/dL without transfusion within 1 week preceding study drug administration Hemoglobin (no transfusion within prior 7 days) >= 9.0 g/dL Hemoglobin >= 9 g/dL without transfusion within 1 week preceding study drug administration Hemoglobin >= 10 g/dL (no blood transfusion in the 28 days prior to entry [olaparib guidelines]) Hemoglobin < 8.0 g/dL (transfusion permitted at least 7 days prior to baseline) Hemoglobin >= 8.0 g/dL (transfusion permitted) PHASE I: Hemoglobin >= 9 g/dl, and no blood transfusion within 4 weeks; OR > 10 g/dL, and no blood transfusion within 2 weeks PHASE II SCLC: Hemoglobin >= 9 g/dl, and no blood transfusion within 4 weeks; OR > 10 g/dL, and no blood transfusion within 2 weeks Hemoglobin >= 9 g/dL without transfusion within 1 week preceding study drug administration Hemoglobin >= 9 g/dL without transfusion within 7 days prior to enrollment Hemoglobin >= 9 g/dL qualifications (transfusion permitted) Hemoglobin >= 9.0 g/dL with last transfusion at least 14 days before day 1 of study drug Hemoglobin greater than 8.0 g/dL (transfusion independent; no transfusion for >= 7 days prior to study enrollment) Hemoglobin >= 9.0 mg/dL without transfusion in 2 prior weeks Hemoglobin >= 8 g/dL (transfusion permitted) Hemoglobin >= 9.0 g/dL (after transfusion if required) Hemoglobin >= 9 g/dL; continuation of erythropoietin products is permitted; hemoglobin must be stable above 9 g/dL for at least 2 weeks without blood transfusion to maintain hemoglobin level Hemoglobin ? 9 g/dL (without transfusion for at least one month) Hemoglobin > 8.0 mg/dL (without transfusion in the preceding 7 days) Hemoglobin >= 10.0 g/dL with no blood transfusion in the past 28 days. Within 28 days prior to administration of study treatment: Hemoglobin ? 10.0 g/dL with no blood transfusion in the past 28 days Within 14 days prior to first dose of study drug treatment: Hemoglobin >= 9 g/dL without transfusion in the previous week Hemoglobin (no transfusion within prior 7 days) >= 9.0 g/dL Hemoglobin >= 9 g/dL without transfusion in the preceding 7 days Hemoglobin >= 10 g/dL with no blood transfusion in the past 28 days Measured within 28 days prior to administration of study treatment: Hemoglobin >= 10.0 g/dL with no blood transfusion in the past 28 days Within 28 days prior to administration of therapy: Hemoglobin >= 10 g/dL with no blood transfusion within 28 days of initiation of therapy Hemoglobin > 8 gm/dL without transfusion and off erythropoietin for 14 days or Aranesp for 21 days Hemoglobin ?9.0 g/dL without transfusion within the 2 weeks prior to Day 1. Hemoglobin >10.5 g/dL (without erythropoietin or blood transfusion within the last 2 weeks) Patients must have adequate organ and marrow function measured within 28 days prior to administration of ABT-888 as defined below:\r\n* >= 10.0 g/dL hemoglobin (Hb) with no blood transfusion in the past 28 days Hemoglobin >= 9 g/dL; erythropoietin and transfusion support is permitted provided treatments are not required more than every 8 weeks; hemoglobin must be stable above or equal to 9 g/dL for at least 2 weeks prior to day 1 of study drug without blood transfusion to maintain hemoglobin level Hemoglobin >= 9 g/dL continuation of erythropoietin products is permitted obtained =< 7 days prior to randomization; hemoglobin must be stable >= 9 g/dL >= 14 days without blood transfusion to maintain hemoglobin level Hemoglobin >= 9.0 g/dL (transfusion permitted) Hemoglobin ? 8 g/dL (transfusion is permitted to fulfill this criterion) Within 30 days prior to initiation of protocol treatment: Hemoglobin >= 9.0 g/dL (after transfusion if required) Hemoglobin >= 8.0 g/dL with no blood transfusion in the past 28 days. Hemoglobin > 9 g/dL (prior transfusion permitted) Hemoglobin >= 9 g/dL (blood transfusion permitted to attain this value) Measured within 28 days prior to administration of ABT-888: >= 10.0 g/dL hemoglobin (Hb) with no blood transfusion in the past 28 days Hemoglobin >= 9 g/dl (transfusion permitted) Hemoglobin >= 9 g/dL (without transfusion within 7 days of assessment) Hemoglobin 9.0 g/dL (transfusion to meet this criterion is permitted) Hemoglobin < 9 g/dL (< 5.5 mmol/L; previous red blood cell transfusion is permitted) Hemoglobin ? 9.0 g/dL (in case of transfusion stable for ?14 days prior to treatment start) Hemoglobin ?8 g/dL [transfusion permitted] Hemoglobin ?8 g/dL [transfusion permitted] Hemoglobin >= 9 g/dL; subjects may not have had a transfusion within 7 days of screening assessment Hemoglobin >= 9 g/dL without transfusion within 1 week preceding study drug administration Hemoglobin > 9.0 g/dL (no transfusion permitted within 1 week) Hemoglobin >= 7g/dL (transfusion permitted) Patients must have >= 10.0 g/dL hemoglobin (Hb) and no blood transfusion in the past 28 days to receive veliparib