Problem inspiring answer with new maths (6)
I believe the answer is:
asthma
'problem' is the definition.
(I have seen 'Respiratory problem ' mean 'asthma' so perhaps 'problem' could also mean 'asthma')
'inspiring answer with new maths' is the wordplay.
'inspiring answer' becomes 'a' (abbreviation eg in Q and A. I am not sure about the 'inspiring' bit.).
'with' is a charade indicator (letters next to each other).
'new' indicates an anagram.
'maths' anagrammed gives 'sthma'.
'a'+'sthma'='ASTHMA'
Can you help me to learn more?
(Other definitions for asthma that I've seen before include "Lung condition" , "which leaves one breathless" , "Strange that Mat has difficulty breathing" , "Respiratory condition" , "Mat has a breathing disorder" .)