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The problem is with (repeated) expand :
sage: var("q, jt")
(q, jt)
sage: A=q^(2/3)+q**(2/5)
sage: B=product(1 -q**jt, jt, 1 , 31)*q**(1 /24 )
sage: bool((A*B).expand()==(A*B.expand()).expand())
False
sage: (((A*B).expand())/(A*B.expand()).expand()).factor()
2*q^(1/24)/(q^(17/24) + q^(53/120))
However :
sage: bool(A*B==A*B.expand()) # Damn slow...
True
sage: ((A*B)/(A*B.expand())).factor()
1
This is anexpand bug, now Trac#31411.
