黄晓君 is almost correct, apart from the last line. 'Put up with' is idiom, which means to tolerate, or in fact, to bear.
So - 'I can't bear your complaining any longer' = 'I can't put up with your complaining any longer'.
'Bear with me' is also idiom, which means 'please be patient'. You ask it if you want someone to wait while you try to do, or find, something. You are asking the other person to 'bear' the delay you are putting on them.