French language Q&A Forum

I am curious about the grammatical function of "de" in a sentence such as the following:

"Je ne prends pas de bonnes résolutions." 

Thank you!

Hello,

I came across this quiz: "Je regarde de belles collines." which confuses me a lot when choosing the answer. Because if taken out of the context of this specific lesson, I personally can't tell whether it's:

1. "I'm looking at some (des) beautiful hills"

2. "I'm looking from (de) these (les) beautiful hills " which I think also makes sense.

The answers available are: 

a) "I'm looking at beautiful hills." (correct answer)

b) "I'm watching from beautiful hills."

Can I ask why a) is correct and b) is not? Is it because "regarder de" doesn't mean "watching from"? If this is the case, what happens if it's another verb + de (in french) that means verb + from (in english)? Better yet, how can I actually say option b) in french?

I hope my question makes sense.

In "économiser beaucoup de l'argent", why is there a definite article after the "de"?