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I would like to solve systems such as

solve([x^3-y^2 == 0, x<0, x^2+y^2<1], x, y)

I get

[[x < 0, -x^2 - y^2 + 1 > 0, -x^3 + y^2 == 0]]

i.e., the same thing.

W|A, for instance, says that "no solutions exist". Also Maple can easily deal with the system. Is there any package I'm missing? Are these systems manageable with Sage (or an embedded software)?

Thank you.

I would like to solve systems such as

solve([x^3-y^2 == 0, x<0, x^2+y^2<1], x, y)

I get

[[x < 0, -x^2 - y^2 + 1 > 0, -x^3 + y^2 == 0]]

i.e., the same thing.

W|A, for instance, says that "no solutions exist". Also Maple can easily deal with the system. Is there any package I'm missing? Are these systems manageable with Sage (or an embedded software)?

Thank you.