In Numbers^x, Conditionals^x, Indirect questions^x

I know 'would' carries many meanings. My problem is sometimes I find it difficult to tell which meaning the speaker uses. I think I understand its hypothetical usage, and in some contexts, its politeness usage. Below is a post that has several woulds I have trouble interpreting. I also...

Yes. I thought maybe that's what you were referring to. would in an if clause is possible when the would or the entire if-clause is part of a formula of politeness. if you would be so kind is a typical example of if with would in a "politeness phrase". This formula is equivalent to please ....