The following sentences are taken from a book compiled by a Chinese teacher of English:

1. He's pretty difficult to do with.
2. Truth to tell, I don't know how to do with him.

I suspect they are not correct. Shouldn't we say:

1. He's pretty difficult to deal with.
2. Truth to tell, I don't know what to do with him.

Am I right?

Could I ask native speakers to help me please? Thank you in advance.