1. Do you have a lot of experience teaching math?

have a lot of experience (doing---)

2. People who have HIV should seek care from doctors who have a lot of experience treating HIV.

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[See last sentence of 2nd paragraph]

3. Well, I have a lot of experience telling patients bad news, so let me break it to him gently.

(click here for original context)

4.

It looks like he has some very young and immature assistants that don't have a lot of
experience coaching high school football.