Brentuximab Vedotin or Crizotinib and Combination Chemotherapy in Treating Patients With Newly Diagnosed Stage II-IV Anaplastic Large Cell Lymphoma

PRIMARY OBJECTIVES: I. To determine the tolerability of brentuximab vedotin given in combination with standard chemotherapy (anaplastic large cell lymphoma \[ALCL\]99) and to determine the tolerability of crizotinib given in combination with chemotherapy (ALCL99). II. To estimate the event free survival (EFS) of Arm brentuximab vedotin (BV) and Arm crizotinib (CZ) and contrast these to historical control data. SECONDARY OBJECTIVES: I. To determine the prognostic significance of minimal disseminated disease (MDD) at diagnosis and minimal residual disease (MRD) as measured by real-time (RT)-polymerase chain reaction (PCR) in peripheral blood. OUTLINE: Patients with body surface area (BSA) \< 0.9 m\^2 were non-randomly assigned to Arm BV while it was open and were not eligible for the trial while Arm BV was closed. Patients with BSA \>= 0.9 m\^2 were randomly assigned 1:1 to Arm BV or Arm CZ while both were open and were non-randomly assigned to the open arm while only one of the two arms was open. ARM BV: COURSE A (CYCLES 1, 3, AND 5): Patients receive brentuximab vedotin (1.8 mg/dg/dose - Max dose 180 mg) intravenously (IV) over 30 minutes on day 1, dexamethasone orally (PO) twice daily (BID) or IV on days 1-5, ifosfamide IV over 60 minutes on days 1-5, methotrexate IV over 3 hours on day 1, cytarabine IV over 1-30 minutes every 12 hours for 4 doses on days 4 and 5, and etoposide IV over 2 hours on days 4 and 5. COURSE B (CYCLES 2, 4, AND 6): Patients receive brentuximab vedotin (1.8 mg/dg/dose - Max dose 180 mg), dexamethasone, and methotrexate as in Arm BV, Course A. Patients also receive cyclophosphamide IV over 15-30 minutes on days 1-5 and doxorubicin hydrochloride IV over 1-15 minutes on days 4 and 5. ARM CZ: COURSE A (CYCLES 1, 3, AND 5): Patients receive crizotinib (165 mg/m\^2) PO BID on days 1-21 and dexamethasone, ifosfamide, methotrexate, cytarabine, and etoposide as in Arm BV, Course A. COURSE B (CYCLES 2, 4, AND 6): Patients receive crizotinib (165 mg/m\^2) PO BID as in Arm CZ, Course A and dexamethasone, cyclophosphamide, methotrexate, and doxorubicin hydrochloride as in Arm BV, Course B. In all arms, treatment repeats every 21 days for 6 cycles in the absence of disease progression or unacceptable toxicity. After completion of study treatment, patients are followed up at 3, 6, 9, 12, 18, 24, 36, 48, and 60 months.