Hyper-CVAD therapy will be given during Courses 1, 3, 5, and 7. For this therapy, you will receive cyclophosphamide by vein over 2-3 hours every 12 hours for a total of 6 doses. It will be given over 3 days (Days 1, 2, and 3). You will receive doxorubicin by vein over 24 hours on Day 4. The doxorubicin infusion may be extended up to 48 hours, if you are considered to have poor heart function (provided this is known) because you may tolerate this drug better as a slow continuous infusion. You will receive vincristine by vein over 15-30 minutes on Days 4 and 11. You will receive dexamethasone 1 time a day by mouth or by vein over a few minutes on Days 1-4 and Days 11-14. You will also receive G-CSF (Filgrastim) by vein over a few minutes or just under the skin starting about 24-72 hours after the completion of each course of chemotherapy and until your white blood cell count has recovered (which will help with rapid recovery of normal bone marrow). You may receive pegfilgrastim given as one dose under the skin rather than filgrastim.