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Question: Possible bug in solve in Maple 15

Question:Possible bug in solve in Maple 15

Prof. Gerald Schwarz 10 Maple 15
polynomial solve
April 20 2016
1

I have two polynomials f(x,y,z) and g(x,y,z) and ask MAPLE to find conditions on the coefficients of f and g such that the Jacobian determinant in x and y is purely a polynomial in z. MAPLE finds 4 solutions, one of which is g=0, but does not find the solution f=0. I attach the relevant MAPLE worksheet.
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