The Endara government inherited an impossibly difficult situation from its predecessors.

恩达拉政府从其前任手里接过了一个极为困难的局面。

《柯林斯英汉双解大词典》

People now answer questions in a few moments that a couple of decades back they would not have bothered to ask, since getting the answer would have been impossibly difficult .

现在人们过一会就能回答问题，要是回退几十年，人们根本就不会去费心问这些问题，因为要得到回答非常困难，几乎是不可能的事情。

youdao

But, if he can keep his head, he is arguably the best man to deal with an impossibly difficult situation.

ECONOMIST: Schumpeter

Its Iridium satellite-based global phone system switches all calls in the sky without using any ground stations, an impossibly difficult task.

FORBES: Magazine Article

Said another way: the Chinese have extreme faith that oil companies will figure out how to drill and develop heretofore impossibly difficult reserves.

FORBES: Sinopec Dreaming Big In Deal For Repsol's Brazil Fields