“I'm not even remotely interested in hearing what he has to say.”
You got a telephone call from your ex-boyfriend. You had a bad breakup with him, so you don't want to talk to him. Your friend asks if you are going to call back. You say this.
I'm not even remotely interested in hearing what he has to say.
"Not even remotely interested" means "not interested at all". Use this phrase to emphasize that you really, really don't care about something.
The word "remote" means "far away". So "not even remotely" means "not even far away". If you're "not even remotely interested", it means that you don't have any interest, not even a small, far-away interest.
Some other words you can use with "not even remotely":
Aren't you even remotely curious as to what he's been doing all these years?
Don't you think it's even remotely possible that there could be intelligent life on other planets?
Use "in" to express the topic of someone's interest:
Are you interested in going back to school?
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People use the expression "what ___ has to say" when there's an argument. The words that someone "has to say" are usually an excuse, an apology, an explanation for why they did something, etc.
All of these examples would be used in an argument:
I don't care what he has to say. I'm finished with him!
Is that all you have to say for yourself?
Don't interrupt! Just listen to what I have to say.
Be careful not to misinterpret this phrase: usually "has to" means "must". For example:
He has to pass this test or else he'll fail the class.
But in "what ___ has to say". the words "has" and "to" are separate. Think of it like this:
what he has | to say