Which is correct?
“The network with the servers are given to you.”
or
“The network with the servers is given to you.”
Which is correct?
“The network with the servers are given to you.”
or
“The network with the servers is given to you.”
The verb conjugation must agree with the subject of the sentence, which is "the network". Since "the network" is singular, you use the singular verb "is".
"with the servers" is a prepositional phrase that qualifies the subject, but you ignore it when determining verb agreement. Imagine it like this:
The network is given to you.
Which network?
The one with the servers.