suggestions and proposals

come up with

 1) PHRASAL VERB If you come up with a plan or idea, you think of it and suggest it.
  [V P P n] Several of the members have come up with suggestions of their own...
  [V P P n] 30 years ago, scientists came up with the theory that protons and neutrons are composed of three smaller particles.
 2) PHRASAL VERB If you come up with a sum of money, you manage to produce it when it is needed.
  [V P P n] If Warren can come up with the $15 million, we'll go to London.

brainstorm

/breɪnstɔ:(r)m/
(brainstorms, brainstorming, brainstormed)

1.
If you have a brainstorm, you suddenly become unable to think clearly. (BRIT)
I can have a brainstorm and be very extravagant.
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2.
If you have a brainstorm, you suddenly have a clever idea. (AM; in BRIT, usually use brainwave)
‘Look,’ she said, getting a brainstorm, ‘Why don’t you invite them here?’
= brainwave
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3.
If a group of people brainstorm, they have a meeting in which they all put forward as many ideas and suggestions as they can think of.
The women meet twice a month to brainstorm and set business goals for each other...
We can brainstorm a list of the most influential individuals in the company.
VERB: V, V n
• brain‧storming
Hundreds of ideas had been tried and discarded during two years of brainstorming.
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