The adj insolent has 2 senses (first 2 from tagged texts)
1. (3) impudent, insolent, snotty-nosed, flip -- (marked by casual disrespect; "a flip answer to serious question"; "the student was kept in for impudent behavior")
2. (1) audacious, barefaced, bodacious, bald-faced, brassy, brazen, brazen-faced, insolent -- (unrestrained by convention or propriety; "an audacious trick to pull"; "a barefaced hypocrite"; "the most bodacious display of tourism this side of Anaheim"- Los Angeles Times; "bald-faced lies"; "brazen arrogance"; "the modern world with its quick material successes and insolent belief in the boundless possibilities of progress"- Bertrand Russell)