Combination Chemotherapy in Treating Patients With Relapsed or Refractory Acute Lymphoblastic Leukemia, Lymphoblastic Lymphoma, Burkitt Lymphoma/Leukemia, or Double-Hit Lymphoma/Leukemia

PRIMARY OBJECTIVE: I. To collect the safety/toxicity information and assess the initial efficacy information (objective overall response rate: complete response \[CR\]+ CR with incomplete platelet recovery \[CRp\]/CR with incomplete bone marrow recovery \[CRi\]) after treatment with clofarabine, etoposide, cyclophosphamide (CEC), vincristine sulfate liposome (liposomal vincristine) (VCR), dexamethasone and bortezomib in relapsed/refractory acute lymphoblastic leukemia (ALL) or lymphoblastic lymphoma (LL) including relapsed/refractory Philadelphia (Ph) positive B-ALL/LL or Burkitt's leukemia/lymphoma or double-hit leukemia/lymphoma. SECONDARY OBJECTIVE: I. To determine the CR duration, event free survival (EFS), and overall survival (OS) after treatment with CEC, liposomal VCR, dexamethasone and bortezomib in relapsed/refractory ALL or LL including relapsed/refractory Ph positive B-ALL/LL or Burkitt's leukemia/lymphoma or double-hit leukemia/lymphoma. OUTLINE: INDUCTION: Patients receive clofarabine intravenously (IV) over 1-2 hours on days 1-5, etoposide IV over 2 hours on days 1-5, cyclophosphamide IV over 1 hour on days 1-5, vincristine sulfate liposome IV over 1 hour on days 2 and 11, dexamethasone orally (PO) daily or IV over 15 minutes on days 1-5, bortezomib subcutaneously (SC) on days 1, 4, 8 and 11, ofatumumab or rituximab IV over 4-24 hours on days 2 and 11, and pegfilgrastim SC on day 6 in the absence of disease progression or unacceptable toxicity. Patients may receive 1 additional course of induction therapy depending on the disease response. CONSOLIDATION THERAPY: Patients receive clofarabine IV over 1-2 hours on days 1-4, etoposide IV over 2 hours on days 1-4, cyclophosphamide IV over 1 hour on days 1-4, vincristine sulfate liposome IV over 1 hour on days 2 and 11, dexamethasone PO or IV over 15 minutes on days 1-5, bortezomib SC on days 1, 4, 8 and 11, pegfilgrastim SC on day 6. Treatment repeats every 28 days for up to 5 courses in the absence of disease progression or unacceptable toxicity. Patients may receive ofatumumab or rituximab IV over 4-24 hours on days 2 and 11 for 4 courses.