steam wallpaper stripper without the pad, you need to have a 'box' on the end of the tube to contain the steam, the one i use has a 'box' around 2" x 3", in the past i have taped onto the end of the steam tube a plastic business card box, still worked ok. hold the box over the gum for a few seconds, the gum will melt and you can scrape it off easily with a blade or something onto tissue or terry towel. wipe the remains with pog or citrus gel or similar, if you don't do this bit then the residue of gum will soon attract dirt to it, then clean as usual but i would make sure to give the carpet a better than usual rinse to get rid of any residue of solvent.
colin