Judge, consider
The principal agrees with the teacher that the student behaved really badly; she let the teacher take whatever disciplinary measure she deems appropriate for this case.
Anyone not paying the registration fee by 31 March will be deemed to have withdrawn from the offer.
Merriam-Webster Online Dictionary
deem (verb)transitive verb
intransitive verb
to come to think or judge - consider deemed it wise to go slow to have an opinion - believe
