This question came up in our school test and required the students to translate the sentence from Korean.
The sentence they were looking for was...
What do you think we can do to help her?
However, some students wrote:
What do you think that we can do to help her
What do you think we can do for her to help?
They sound correct but what is the rule(if any) the English teacher at the school is curious and I'm at a loss for a specific rule to quote her offhand.