"Would you mind not to do something?"

I have had this question for a long time and I couldn't find any answers for it. I have often heard this sentence from an American interlocutor and also in some movies:

"Would you mind not to do something?"

I would like to know if it is correct to use this sentence in this way.

Solution 1:

No, it is wrong to say:

Would you mind not to do that?

That must be worded this way:

Would you mind not doing that?

This is one of those places where it actually makes a critical difference whether a to-infinitive or an -ing form is used. The infinitive is not allowed here for this particular construction of to mind plus a VP. Not all VPs are interchangeable. You need the -ing version.