Would generally does not signify intention that the speaker is going to carry out - that's what will is for. If the speaker has an intention to deny the report, or go to the party, they'll say:
I will deny the report.
I will go to the party.
Would also expresses intention, but in most contexts it's a hypothetical one - it's usually used when something's stopping you from actually carrying it out, or - more generally - when talking about your intentions in a hypothetical situation that is different from the current one:
It's raining. I would go to the party if it weren't for that.
If they were asking me about it, I would deny the report.
The "if" clause does not have to be stated explicitly in the sentence and can be hidden in the context - for example:
- The boss keeps asking me why last quarter's data is so awful.
- I would deny the report.
In this case you don't have an "if" clause, but the context makes it clear that the second speaker is offering advice - so there's an implied "if I were you" condition which is not satisfied. It does not mean the second speaker is actually going to deny the report themselves - they'd use will if that was the case.
A slight exception comes from the fact that would is also a past tense form of will, and if the surrounding grammar requires a past tense form it can also signify actual intent that the speaker is going to carry out:
- What are you doing Saturday night?
- I thought I would go to the party.
So it depends on the surrounding context, but usually will means that the speaker is going to do the thing they're talking about, and would means that they are not.