Deductions & credits

If I understand correctly, you are the biological parent with whom the child lived all year but the child has parents who had adopted her in your absence. Assuming the other qualifications for dependency are met you would have the right to claim her as a dependent since she lived with you. You should discuss this with the other parents since if they also claim the dependency both of your returns will be questioned by the IRS and both will have a mess to deal with. 

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