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In this note, we first show that solutions of certain equations classify the number fields lying in imaginary 4 quadratic number fields. Then, we study divisible groups with a predicate. We show that these structures are not simple 5 and have the independence property under some natural assumptions. 6doi:10.3906/mat-2006-95 fatcat:3nr6dmdmgvfhzenmbblvzm24ae