The invention provides a method of promoting regression of a cancer in a mammal comprising (i) culturing autologous T cells; (ii) expanding the cultured T cells; (iii) administering to the mammal nonmyeloablative lymphodepleting chemotherapy; and (iv) after administering nonmyeloablative lymphodepleting chemotherapy, administering to the mammal the expanded T cells, wherein the T cells administered to the mammal are about 19 to about 35 days old and have not been screened for specific tumor reactivity, whereupon the regression of the cancer in the mammal is promoted.