hard nut to crack vs poser

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. 

poser

noun
  • A particularly difficult question or puzzle. 

  • Someone who, or something which, poses; a person who sets their body in a fixed position, such as for photography or painting. 

  • A poseur; someone who affects some behaviour, style, attitude or other condition, often to impress or influence others. 

  • Someone who asks a question or sets a problem. 

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