I wasn't taught how to form a tag question when the main sentence involves "no". Is it grammatical to say
There's no problem with the car, is there?
There's no apples left in the carton, are there?
The poor man has nowhere to go, does he?
Nobody cares about it, does anybody?
It has nothing to do with the incident, does it?
Nothing is as precious as unobtainium, is anything?
(Some of the above examples might not sound natural. It would be great if you could suggest me better alternatives.)