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This paper concentrates on studying the Lie symmetries and conserved quantities of controllable nonholonomicdynamical systems. Based on the infinitesimal transformation, we establish the Lie symmetric determining equationsand restrictive equations and give three definitions of Lie symmetries before the structure equations and conservedquantities of the Lie symmetries are obtained. Then we make a study of the inverse problems. Finally, an example ispresented for illustrating the results.