sage: s, a, b= var('s a b')                                                 
                                                                   
sage: (1/s^2 + s).is_polynomial(s)
False
sage: (a/s^2 + b*s).is_polynomial(s)                                       
                                                                    
True
sage:  version()
'Sage Version 5.6, Release Date: 2013-01-21'
sage: 

should return False ?


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