what are they mean to me vs what do they mean to me

Some examples from the web:

• I think they mean to steal my plans.
• We must assume that they mean to kill us and feast on our flesh.
• And they mean to see you hanged for it.
• It's not clear, but they mean to execute him tonight.
• Ville show kids how much they mean to me.
• I think they mean to kill Arthur in the melee.
• I think they mean to kill the king.
• They mean to turn on you in the battle.
• They were marking out the land, they mean to settle here.
• They mean to take control of the tenement expansion.
• Because they mean to stay here forever.
• I think they mean to kill the king.
• I know how much they mean to you.
• It is likely they mean to use Dooku to rebuild their slaver empire.
• And they mean to bury you, too.
• But, sire... they mean to rise against you.
• You can bet your life they mean to keep it.
• Please tell me what they mean to you.
• They always shake their heads when they mean to say yes.
• They mean to kill me and all the demons - you included.

Some examples from the web:

• What do they mean to you, Cobb?
• What do they mean, all these inscriptions?
• What do they mean by obstacle?
• What do they mean "Labyrinth"?
• What do they mean, "target"?
• It was written in 1798. And the latin phrases... what do they mean?
• What do they mean by "demon"?
• What do they mean, try?
• What do they mean, "suspicious"?
• Fine words, but just what do they mean?
• What do they mean, a lie?
• What do they mean, police action?
• What do they mean? means that the right answer I came on the stairs, when you'd
• Where? What do they mean fled?
• Why do they matter, what do they mean
• What do they mean by this? - "Cinderella Man."
• What do they mean, alien and non-alien?
• "Delayed irritability?" What do they mean by delayed?
• What do they mean, "13 minutes"?
• What do they mean by 1:3?