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Good Luck :)

You should name these 'the impossible puzzles collection'.
i try 1rst one from 1 hour :) my best score is mate in 3 ,
i dont know if this puzzle are very hard or impossible like you say because i dont see the result with stockfish and dont check the solution but they are real puzzle from some chess site like http://www.theproblemist.org/. and other ones i forget the name.
It might help
http://www.theproblemist.org/how-to-solve-chess-problems

If you’re a player, rather than a problemist, you’ll probably look first at the checks. If you’re a problemist, the checks will probably be the last thing you’ll look at! Why? Because composed positions are supposed to be difficult and to be elegant, and the key move – white’s first move – is usually an unexpected one.
ok i cheat :) and i put the solution of the 2 first puzzles, they are all possible but it's hard :) ! for me at least
1st one took me half an hour because I'm rusty. Then I saw the knight wheel, realised there was a changed mate somewhere (set play try 1...Sc6 2. Sf3#, changed after key) and lo and behold the answer was clear.

2nd one is too famous. Saw Loyd's organ pipes (the bRs and bBs lined up like that) and recognised the setting, so I already knew the solution.

3rd one is set up wrong. Black's already in check and problemists very rarely use obtrusive force (obvious promoted material.)

4th one has to be set up wrong since 1. d4# is mate.

5th one is set up wrong. Black threatens ...Rxb3+ to foil any mate in 2, and white's attempts to parry with 1. Qb6 Rxb6 or 1. Rb5 Rxb5 don't lead to mate, 1. Ka1 or Ka2 is just checked down the a-file, and 1. Kc1 d2+ is also not mate in 2. And lastly the checks all don't lead to mate in 2 - 1. Ng5+ Kxe3, etc etc. Once I verified this logically, a quick run of Stockfish agrees with me, no mate in 2.

Last one claims to be a mate in 3 which is already outside what I like for difficulty, but your track record is showing this to be either rampant carelessness or a carefully designed troll, so I'll pass on that one.
EDIT: OK, not a troll. It's a bona fide #3, so I'll look into that. 5th one is missing a piece, add a wBa8. Just carelessness it seems.
EDIT AGAIN: OK, problems seem to have changed now, the wrongly set up ones vanished. I'll look again.

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