couple of things...

Question

'Après avoir considéré de faire peindre le mur' why is "DE" used? is 'considéré de' an expression'plutôt que de remettre du papier peint' why is there "DE" here too?

Accepted Answer

Hi James,
1. The verb is -
considérer de faire quelque chose = to consider doing something
de = preposition 
2. 
remettre du papier peint = to re-paper 
I have answered elsewhere but just to reiterate
du = partitive some ( often omitted in English )
Article partitif
Hope this helps!

Answer

I've argued before (in my reply to the question below) that, instead of asking why "de" is used before an infinitive, you should just assume that you insert "de" unless you know of a good reason not to.

https://french.kwiziq.com/questions/view/why-is-de-needed-does-alors-a-l-epoque

Answer

I think James meant: "plutôt que de remettre ..."Probably this de is optional.