оставля́ть

fairly common #1329B2

verbimperfective perfective is оста́вить

1.
to leave, to leave behind
Он всегда́ оставля́ет ключи́ на столе́.
He always leaves his keys on the table.
Also of things left as a result: traces, a message, an impression.
2.
to abandon, to desert
Он оставля́ет семью и уезжа́ет.
He is abandoning his family and going away.
Of people, places or duties one walks away from.
3.
to give up, to drop, to stop
Она́ не оставля́ет наде́жды найти́ рабо́ту.
She is not giving up hope of finding a job.
Object is an activity, attempt, hope or habit.
4.
to leave alone
Журнали́сты не оставля́ют его в поко́е.
The journalists won't leave him alone.
Usually with в покое.
5.
to keep (for oneself)
Я оставля́ю пода́рок себе.
I'm keeping the present for myself.
Typically with себе.

Examples

Э́та же́нщина оставля́ет впечатле́ние бога́той.
This woman gives the impression of being wealthy.
Не оставля́йте без внима́ния ни одной ме́лочи.
Don't leave out a single detail.
Не оставля́й меня здесь.
Don't leave me here.
Не оставля́й э́то откры́тым.
Don't leave it open.
Не оставля́й меня одного.
Don't leave me alone.
Не оставля́й окно́ в спа́льне откры́тым!
Don't leave the bedroom window open!
Не оставля́йте окна откры́тыми.
Don't leave the windows open.
Не оставля́й меня!
Don't leave me behind!

Imperative
ты	оставля́й
вы	оставля́йте

Active present	оставля́ющий	leaving, that leaves, remaining
Active past	оставля́вший	leaving, abandoning, that was leaving, which was leaving
Passive present	оставля́емый	being left, being abandoned, being retained
Passive past	-
Gerund present	оставля́я	while doing (present)
Gerund past	оставля́в оставлявши	while doing (past)

Verb	Prefix	Meaning
оставля́ть	-	to leave; to abandon; to give up; to leave alone; to keep (for oneself)
предоставля́ть	пред-	to provide; to grant; to leave (to someone)
предоставля́ться	пред-	to be provided