OBJECTIVES: I. Compare the progression free survival, median survival, and overall survival in cisplatin-ineligible patients with advanced squamous cell carcinoma of the head and neck following weekly outpatient methotrexate (arm I) versus paclitaxel (arm II). II. Compare the response rate of patients in the two treatment arms. III. Compare the Trial Outcome Index scores of patients in the two treatment arms. IV. Compare the weight change, neurologic toxicity, and mucositis scores of patients in the two treatment arms.