Blinatumomab, Methotrexate, Cytarabine, and Ponatinib in Treating Patients With Philadelphia Chromosome-Positive, or BCR-ABL Positive, or Relapsed/Refractory, Acute Lymphoblastic Leukemia

Participants ≥ 18 years of age with previously untreated Ph-positive ALL [either t(9;22) and/or BCR-ABL positive] (includes patients initiated on first course of therapy before cytogenetics known) or with lymphoid accelerated or blast phase CML. These participants could have received one or two courses of chemotherapy with or without other TKIs and still eligible. (Participants with lymphoid accelerated or blast phase CML will be evaluated separately) i. If they achieved CR, they are assessable only for event-free and overall survival, or ii. If they failed to achieve CR, they are assessable for CR, event-free, and overall survival

Participants ≥ 18 years of age with relapsed/refractory Ph-positive ALL or with previously treated lymphoid accelerated or blast phase CML (Participants with lymphoid accelerated or blast phase CML will be evaluated separately)

Participants ≥ 18 years of age with ALL MRD positive (either by NGS or PCR or flowcytometry) or with previously treated lymphoid accelerated or blast phase CML (Participants with lymphoid accelerated or blast phase CML will be evaluated separately)

Performance status ≤ 2 (ECOG Scale)