Compounds of 任せる

• 任せる
  (v1,vt) (1) to entrust (e.g. a task) to another
  to leave to
  (2) to passively leave to someone else's facilities
  (3) to leave to take its natural course
  (4) to continue (something) in a natural fashion (without particular aim)
  (5) to rely fully on one's (full strength, great ability, long time taken) to get something done
  (P)
• 運に任せる
  (exp) to trust to luck
• 身を任せる
  (exp,v1) to give oneself to (esp. of a woman to a man)
  to surrender oneself to
• 想像に任せる
  (exp,v1) to leave something to someone's imagination (e.g. I'll leave that to your imagination)
• 運を天に任せる
  (exp) to leave to chance
  to resign oneself to one's fate
• 成り行きに任せる
  (exp,v5r) to leave to take its own course
  to let a matter take care of itself