What does "negligent" most nearly mean?

The term "negligent" is most closely associated with a failure to take proper care in doing something, which aligns well with the meaning of "remiss." Being remiss refers to a lack of attention or carelessness in fulfilling one's duties or responsibilities. This connection illustrates that negligence often arises from a lapse in diligence or responsibility.

In contrast, the other options do not convey a similar meaning. "Subordinate" refers to someone who is lower in rank or importance, and does not relate to carelessness. "Vex" means to irritate or annoy, which is not related to the concept of negligence. "Motivate" refers to the act of providing someone with a reason or incentive to act, which again is different from the idea of negligence. Therefore, "remiss" is the most fitting synonym for "negligent."