[1] : WordNet (r) 2.0

think up
     v : devise or invent; "he thought up a plan to get rich
         quickly"; "no-one had ever thought of such a clever piece
         of software" syn: think of, dream up, hatch, concoct
see also:
think of dream up hatch concoct 

[2] : Moby Thesaurus II by Grady Ward, 1.0

48 moby thesaurus words for "think up":
   beget, breed, bring forth, bring into being, call into being, coin,
   conceit, conceive, conceptualize, concoct, contrive, cook up,
   create, design, develop, devise, discover, dream up, engender,
   evolve, experience imaginatively, fabricate, fancy, fantasize,
   fictionalize, frame, generate, give being to, give rise to, hatch,
   ideate, imagine, improvise, invent, make do with, make up, mature,
   mint, mold, originate, plan, procreate, produce, shape, spawn,
   strike out, suppose, think out

Ball Up >> B Words
Ball Up, definition of term: Ball Up
ball+up_pag1.html

Bang Up >> B Words
Bang Up, definition of term: Bang Up
bang+up_pag1.html

Backed Up >> B Words
Backed Up, definition of term: Backed Up
backed+up_pag1.html

Back Up >> B Words
Back Up, definition of term: Back Up
back+up_pag1.html

Ante Up >> A Words
Ante Up, definition of term: Ante Up
ante+up_pag1.html

Act Up >> A Words
Act Up, definition of term: Act Up
act+up_pag1.html