bitch vs hard nut to crack

bitch

noun
  • A difficult or confounding problem. 

  • An obviously gay man. 

  • Something unforgiving and unpleasant. 

  • A female dog or other canine, particularly a recent mother. 

  • A man considered weak, effeminate, timid or pathetic in some way 

  • A queen. 

  • Place; situation 

  • A complaint, especially when the complaint is unjustified. 

  • A woman. 

  • Friend. 

  • A despicable or disagreeable, aggressive person, usually a woman. 

  • A submissive person who does what others want; (prison slang) a man forced or coerced into a homoerotic relationship. 

  • A queen playing card, particularly the queen of spades in the card game of hearts. 

verb
  • To spoil, to ruin. 

  • To criticize spitefully, often for the sake of complaining rather than in order to have the problem corrected. 

  • To behave or act as a bitch. 

hard nut to crack

noun
  • A problem that is challenging to solve. 

  • Used other than figuratively or idiomatically: see hard, nut, crack. 

  • A situation, person, group, etc. which is difficult to overcome or deal with. 

  • A place, opportunity, etc. to which it is difficult to gain entry. 

  • An amount that is difficult to finance. 

How often have the words bitch and hard nut to crack occurred in a corpus of books? (source: Google Ngram Viewer )