Synonyms for Negligent (same or very similar meaning)
WordNet sense 1 (not showing due care or attention):
inattentive, neglectful
WordNet sense 2 (lacking in rigor or strictness):
lax, slack
WordNet sense 3 (failing in what duty requires):
delinquent, derelict, remiss
WordNet sense 4 (marked by lack of attention or consideration or forethought or thoroughness; not careful):
careless
From the ODE community, based on WordNet
add/edit