Put up with, bear (6)
I believe the answer is:
endure
I believe this is a double definition.
'put up with' is the first definition.
(synonyms)
'bear' is the second definition.
(both can mean to tolerate)
(Other definitions for endure that I've seen before include "Persist over time" , "Put up with, say hardship" , "Last or tolerate" , "Go through" , "brook" .)