Thread: How do you say "Let's see..." or "Let me see..." in Russian?

These being two distinct phrases. Using the definitions found on Wiktionary:

let's see: used as a filled pause to indicating thinking or pondering, but allowing hearer to participate
let me see: used as a filled pause to indicating thinking or pondering, but not inviting hearer to participate

How do I indicate the fact that I'm thinking about something? And how might I imply "if you have an idea/thought, share it" or 'dis'-imply it?