Good evening. If you jointly owned the house with your mother until her death in 2010 at which time you became the sold owner, your basis would be as follows: i) 1/2 of the purchase price (which represents the 1/2 you owned prior to your mother's death) PLUS ii) 1/2 of the fair market value of the house at the time of the death (which represents the 1/2 you acquired as the result of your mother's death, the basis of which is stepped up to fair market value at death).
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The information given here is not legal advice. As all states have different intricacies in their laws, the information given is general only. This communication does not establish an attorney-client relationship with you. I hope this answer has been helpful to you.