Full Idea
The contents of thoughts, beliefs and desires seem quite distinct from qualia. Arithmetic has no particular feeling attached to it, and Freud showed that many propositional attitudes have no feeling at all, as they are unconscious.
Clarification
Beliefs and fears are examples of 'propositional attitudes'
Gist of Idea
Arithmetic and unconscious attitudes have no qualia
Source
Georges Rey (Contemporary Philosophy of Mind [1997], 1.1.2)
Book Reference
Rey,Georges: 'Contemporary Philosophy of Mind' [Blackwell 1997], p.19
A Reaction
I don't think we should rule out 'pre-conscious' qualia. The fact that advanced human mental capacities like arithmetic have thinned out their qualia doesn't count against qualia being essential to normal mental life.