Compounds of ましょう

• ましょう
  (exp) (1) (pol) (used to express the speaker's volition) I'll
  (2) (used to make an invitation, request, etc.) let's
  (3) (used to express a conjecture) probably
• ましょうか
  (exp) (1) shall I?
  (2) shall we?
• 手を貸しましょうか
  (exp) (col) Can I lend a hand?