(defun mapping (a1 a2 b1 b2 s)
   (+ b1 (/ (* (- s a1)
               (- b2 b1))
            (- a2 a1))))

(defun map-each (a1 a2 b1 b2 ss)
   (if (endp ss)
       nil
       (cons (mapping a1 a2 b1 b2 (first ss))
             (map-each a1 a2 b1 b2 (rest ss)))))

(map-each 0 10 -1 0 '(0 1 2 3 4 5 6 7 8 9 10))

;; (-1 -9/10 -4/5 -7/10 -3/5 -1/2 -2/5 -3/10 -1/5 -1/10 0)