last vs remain

last

verb
  • To endure, continue over time. 

  • To hold out, continue undefeated or entire. 

  • To shape with a last; to fasten or fit to a last; to place smoothly on a last. 

det
  • The (one) immediately before the present. 

  • Closest in the past, or closest but one if the closest was very recent; of days, sometimes thought to specifically refer to the instance closest to seven days (one week) ago, or the most recent instance before seven days (one week) ago. 

noun
  • A tool for shaping or preserving the shape of shoes. 

  • A load of some commodity with reference to its weight and commercial value. 

adj
  • Being the only one remaining of its class. 

  • Farthest of all from a given quality, character, or condition; most unlikely, or least preferable. 

  • Supreme; highest in degree; utmost. 

  • Lowest in rank or degree. 

  • Most recent, latest, last so far. 

  • Final, ultimate, coming after all others of its kind. 

adv
  • Most recently. 

  • after everything else; finally 

remain

verb
  • To continue in a state of being. 

  • To await; to be left to. 

  • To continue unchanged in place, form, or condition, or undiminished in quantity; to abide; to stay; to endure; to last. 

  • To be left after a number or quantity has been subtracted or cut off; to be left as not included or comprised. 

  • To stay after others or other parts have been removed or otherwise disappeared. 

noun
  • That which is left; relic; remainder. 

  • That which is left of a human being after the life is gone; relics; a dead body. 

  • Posthumous works or productions, especially literary works. 

How often have the words last and remain occurred in a corpus of books? (source: Google Ngram Viewer )