I’d rather you did some social research when you are free, but you .A. didn’tB. weren’tC.

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A. didn’t
B. weren’t
C. wouldn’t
(答案→)D. don’t
解析：would rather 后接宾语从句，从句中用一般过去时，表示与现在事实相反的假设或愿望，连词but引出现在的情况，故答案为D项一般现在时。