Blinatumomab and Combination Chemotherapy or Dasatinib, Prednisone, and Blinatumomab in Treating Older Patients With Acute Lymphoblastic Leukemia

Inclusion Criteria: * Registration Step 1 - Induction/Re-Induction: * Patients must have a new morphologic diagnosis of precursor B cell acute lymphoblastic leukemia (ALL) (non T cell) based on World Health Organization (WHO) criteria; patients with Burkitt's (L3) are excluded; patients with Ph-positive or Ph-like ALL with dasatinib-sensitive mutations or kinase fusions may have relapsed or refractory diagnoses * NOTE: Relapsed/refractory Ph-positive patients or Ph-like patients with dasatinib-sensitive mutations or kinase fusions who have previous exposure to either dasatinib or another 2nd or 3rd generation tyrosine kinase inhibitor (TKI) will begin protocol therapy with Cohort 2: re-induction cycle 1 * Patients must have a diagnosis of Philadelphia chromosome negative ALL or Ph chromosome positive ALL by cytogenetics, fluorescence in situ hybridization (FISH) or polymerase chain reaction (PCR); patients will be registered to receive treatment in either Cohort 1 (Ph-) or Cohort 2 (Ph+ or Ph-like DSMKF) based on these results; diagnostic specimens must be submitted to the site's local Clinical Laboratory Improvement Amendments (CLIA)-approved cytogenetics laboratory and results of tests (cytogenetics, FISH or PCR) must confirm Ph status prior to registration; if not already known, breakpoint cluster region- abelson murine leukemia viral oncogene homolog 1 (BCR-ABL) status (p190 or p210) must be evaluated in Ph-positive patients by PCR * For Cohort 2, Ph-like testing i…