Combination Chemotherapy and Inotuzumab Ozogamicin in Treating Patients With B Acute Lymphoblastic Leukemia

Inclusion Criteria: * Patients with newly diagnosed, previously untreated B-lineage ALL, or having achieved complete remission (CR) with one course of induction chemotherapy * Patients with extramedullary disease only are eligible * Failure to one induction course of chemotherapy (these patients will be analyzed separately) * Performance status of 0-3 * Creatinine less than or equal to 2.0 mg/dL (unless considered tumor related) * Bilirubin less than or equal to 2.0 mg/dL (unless considered tumor related) * Adequate cardiac function as assessed by history and physical examination * No active or co-existing malignancy with life expectancy less than 12 months * Women of childbearing potential (WOCBP) or male subjects with a partner who is WOCBP must agree to use contraception during the study, if sexually active Exclusion Criteria: * Pregnant or nursing women * Known to be human immunodeficiency virus (HIV)-positive * Philadelphia chromosome (Ph)-positive ALL * Active and uncontrolled disease/infection as judged by the treating physician * Unable or unwilling to sign the consent form * Subjects who have current active hepatic or biliary disease (with exception of patients with Gilbert's syndrome, asymptomatic gallstones, liver involvement or stable chronic liver disease per investigator assessment) * Chronic or current infectious disease requiring systemic antibiotics, antifungal, or antiviral treatment such as, but not limited to, chronic renal infection, chronic chest infe…