OUTLINE: Patients receive bcr/abl breakpoint peptide vaccine in QS21 adjuvant subcutaneously at rotated sites every 1-3 weeks (on or about days 0, 7, 21, 35, and 56) over 8 weeks. Treatment continues in the absence of disease progression or unacceptable toxicity. Patients demonstrating a response by week 10 may receive 3 additional monthly vaccinations initiated within 8 weeks of the fifth dose. Patients demonstrating a response by vaccination 8 may receive 3 additional vaccinations administered at two-month intervals.