Is it correct to write the question: "Are there any more problems?"? considering that "problem" has a negative connotation to it? and to say: "There isn't any more problem" or "there aren't any more problems"? Thanks a lot.
If the sentence is in a negative construction, any is the proper word. Check these examples:
Are there any more problems with the house?
No, there aren't any more problems.
Also, There are = plural, so the complement of the statement must also come in the plural form. - Are there any more problem's' with the house? - No, there are not any more problem's' with the house.
There is = singular, so it means the complement of the statement must also come in the singular form. - Is there another problem with the house? - No, there is not another problem with the house.
You can also enjoy the no longer construction, it seems much easier for me, sometimes I use it when talking about negative statements:
There is no longer a problem with your house
There are no longer problems with your house
It's also used in other negative statements, such as: I no longer like her. She no longer likes me, I'm no longer your boyfriend, This house is no longer mine.
How to build a no longer construction:
Subject + No longer + Verb Or
Subject + Verb + No longer.
Do not increase any other negative construction when using no longer, such as: He isn't no longer my boyfriend. No longer already functions as this role.