There are some letters for you today.
There aren't/are not any letters for you today.
Maria had some heavy luggage with her at the airport.
Miriam didn't/did not have any heavy luggage to take to the airport.
We saw lots of snow on the mountains this morning.
We didn't/did not see any snow on the mountains this morning.
For example: We’ve got some photos of our holiday.
We haven’t got any photos of our holiday.
There are some good films at the cinema this week.
There aren't/are not any good films at the cinema this week.
She gave me some advice.
She didn't/did not give me any advice.
You'll find some cake in the cupboard.
There isn't/is not any cake in the cupboard.