Collocations for impossible - adj.

appear, be, look, prove, seem, sound
become
remain
make sth, render sth
Darkness made it impossible to continue.

believe sth, consider sth, deem sth, find sth, regard sth as, see sth as, think sth
I found his offer impossible to resist.

absolutely, completely, downright, quite (esp. BrE), totally, utterly
humanly
They are setting a standard that it is humanly impossible to meet.

just, simply
I'm really sorry. It's just impossible.

by no means (esp. BrE), far from
a desirable and far from impossible objective to achieve

almost, more or less (esp. BrE), near, nearly, next to, nigh, nigh on (esp. BrE), practically, virtually, well-nigh (esp. BrE)
It was well-nigh impossible for him to convince her that he was right.

pretty
effectively
literally
apparently (esp. BrE), seemingly
theoretically
clearly, obviously
equally
Both options are equally impossible.

hitherto, previously
With the new equipment we will be able to accomplish hitherto impossible tasks.

ultimately
economically, financially, logically, logistically, mathematically, physically, politically, scientifically, technically
The high cost of childcare made returning to work economically impossible.

for
The situation is just impossible for us.
It's impossible for me to say.

be
become
find sb
I find her impossible.

really
absolutely, completely, quite, totally
You can be absolutely impossible at times!

just

Impossible is used with these nouns:
demand, dilemma, dream, feat, obstacle, odds, position, target, task