Inclusion Criteria:

1. Previously diagnosis of multiple myeloma as determined by any two of the major criteria, or major criteria 1 plus minor criteria b, c, or d, or major criteria 3 plus minor criteria a or c, or minor criteria a, b and c or a, b, and d.

   Major criteria:

   • Plasmacytomas on tissue biopsy
   • Bone marrow plasmacytomas (>30% plasma cells)
   • Monoclonal immunoglobulin spike on serum electrophoresis immunoglobulin G (IgG) >3.5 g/dl or immunoglobulin A (IGA) > 2.0 g/dl; kappa or lambda light chain excretion > 1 g/day on 24 hour urine protein electrophoresis

   Minor criteria:

   1. Bone marrow plasmacytomas (10 to 30% plasma cells)
   2. Monoclonal immunoglobulin present but of lesser magnitude than given under major criteria
   3. Lytic bone lesions
   4. Normal IgM < 50 mg/dl, IgA < 100 mg/dl, or IgG < 600 mg/dl

2. Has relapsed or refractory disease as determined by the following:

   Relapsed disease:

   • Disease progression developed following the achievement of at least stable disease or better to an anti-myeloma regimen.

   Refractory disease:

   • Disease progression developed during therapy with an anti-myeloma regimen prior to the achievement of at least stable disease or better. Includes the development of disease progression during maintenance or consolidation therapy with glucocorticoids or cytotoxic chemotherapy.
3. Age > 18 at signing of informed consent.
4. ECOG performance status  0-2.
5. Renal function  1.5 x upper limit normal (blood urea nitrogen [BUN], serum creatinine
6. Liver function ≤ 1.5 times upper limit of normal (total bilirubin, SGOT (AST) and SGPT (ALT) values).
7. Female patients of childbearing potential must have a negative pregnancy test (serum -human chorionic gonadotropin, -HCG); men and women of reproductive potential must employ effective contraceptive methods while on study therapy, and for 1 month following completion of treatment.
8. Signed IRB-approved informed consent by patient prior to all study related procedures.

Exclusion Criteria:

1. History of a prior malignancy with in the last 3 years with the exception of resected basal cell carcinoma, in situ cervical cancer at any time or other resected malignancies with no evidence of recurrence 5 or more years since diagnosis.
2. Patients with a hemoglobin count of < 8.0 g/dl, platelet count of < 50,000 cells/mm3, or an absolute neutrophil count (ANC) of < 1000 cells/mm3.
3. Serious infection, medical condition, or psychiatric condition that, in the opinion of the investigator, places the subject at unacceptable risk or might interfere with the achievement of the study objectives.
4. Chronic viral infection: positive hepatitis B or hepatitis C serology, known positive for human immunodeficiency virus (HIV) or human T-leukemia/lymphoma virus (HTLV).
5. Peptic ulcer disease (PUD) requiring treatment or surgical intervention within the last 2 years.
6. The use of steroids or chronic nonsteriodal anti-inflammatory drugs 28 days prior to the initiation of study medication.
7. Treatment with chemotherapy for the treatment of multiple myeloma or any investigational agent within 6 weeks of study entry.
8. History of allergy to NSAIDs or aspirin-induced asthma.
9. Pregnancy or currently breast feeding.