Consider the following premises. Patricia is driving a car or James is not working. For all z, z will not write a letter. If Patricia drives a car, then Barbara is writing a letter. Can we infer the following from them? James is working.
 From the fact that Patricia is driving a car or James is not working we can infer that if James works, then Patricia is driving a car. From the fact that for all z, z will not write a letter we can infer that Barbara is not writing a letter. From the fact that if Patricia drives a car, then Barbara is writing a letter, and that Barbara is not writing a letter we can infer that Patricia is not driving a car. Finally, from the fact that if James works, then Patricia is driving a car, and that Patricia is not driving a car we can infer that James is not working, which contradicts that James is working. Therefore, the answer is no.