Precise demand (5)
I believe the answer is:
exact
I believe this is a double definition.
'precise' is the first definition.
(synonyms)
'demand' is the second definition.
(exacting is a kind of demanding)
(Other definitions for exact that I've seen before include "Explicit" , "totally accurate" , "Faithful" , "far from improvised?" , "accurate in all details" .)