Beasts of various origins have been causing problems for the dwarves in the Misty Mountains, including Sútmoth, who brings harsh weather in his wake that endangers any mountain explorer.
'The cold does not bother me too much my friend. However, some areas of the Misty Mountains seem colder still.
'At first I thought it was my imagination, but then I saw a creature of frost and cold. It was an ice-giant! If this beast is not dealt with, I will surely freeze to death and you will have to thaw me in the Forges of Khazad-dûm!'
Sútmoth can be found somewhere in The Misty Mountains.
You should defeat Sútmoth.
Authi can be found in Glóin's Camp in the Misty Mountains.
You should speak with Authi.