Having better programming tools is a useful goal. Writing applications is another one. Not all applications need advanced maths, though. In many Lisp applications many different kinds of maths have been necessary and used. All kinds of symbolic and numeric mathematics have been used.
But Lisp has been also a topic of study and research - as it is also an application of symbolic mathematics. See for example Chaitin,
The Limits of Mathematics.
https://www.cs.auckland.ac.nz/~chaitin/lm.html or the research on Scheme:
http://library.readscheme.org .