Obtained within 30 days of registration: Platelets >= 75,000/mcL or >= 50,000/mcL with documented bone marrow involvement Platelets >= 75,000/uL unless related to bone marrow involvement by HIV-cHL Platelets >= 75,000/mcL Platelets >= 75,000/mcL (75 x 10^9/L) obtained within 2 weeks prior to registration RANDOMIZED PHASE II (ARMS K AND L): Platelets >= 75,000/mcL (75 x 10^9/L), obtained within 2 weeks prior to registration Platelets >= 75 x 10^9/L Platelets: >= 75,000/mm^3 within 90 days before enrollment Platelets >= 50,000/mcl within 28 days prior to registration Registration Step 3 Maintenance: Patients must have adequate marrow function as evidenced by platelets >= 75,000/mcl within 28 days prior to registration Platelets >= 50,000 cells/mcL (50 x 10^9/L) Platelets >= 50,000/mcL or recovery to the baseline count Platelets >= 75,000/mcL Obtained within 28 days prior to registration: Platelets >= 75,000/mcL Platelets >= 75,000/mcL Platelets >= 75,000/mcL, unless due to marrow involvement by lymphoma in which case a platelet count of >= 30,000/mcL will be used Platelets >= 75,000/mcl Obtained within 28 days prior to registration: Platelets >= 50,000/mcl Within 28 days prior to registration: Platelets >= 75,000/mcL Platelets >= 75,000/mcL (>= 50,000 for patients with hematologic malignancies) Platelets >= 75 x 10^9/L Platelets >= 75,000/mcL within 28 days prior to registration Platelets >= 75 x 10^9/L within 30 days of day 1 of study