(Heh. “Points”. I mean, you know, nominally; winner status. Alright, I’ll stop talking now…)
The original rules say that the target number has to be in the range [100, 999] (from 100 to 999 inclusive).
Also, by the OP’s rules, 13 and 21 aren’t allowed as working numbers. But, I thought the Fibonacci thing was fun. 
latest challenge:
Working numbers: 1, 3, 6, 8, 9, 25
Target number: 562
answer: ((3 * 25) - 6) * 8 + 1 + 9 = 562
new challenge:
Working numbers: 1, 1, 7, 9, 10, 75
Target number: 598
(7 + 1) * 75 + 9 - 10 - 1 = 598
Working numbers: 3, 4, 5, 8, 10, 25
Target number: 960
4 x 8 x (25 + 5) = 960
3, 5, 9, 25, 50, 100
Target: 999
(50 * 100 + 25)/5 - 9 + 3 = 999
Working numbers: 1, 3, 4, 25, 75, 100
Target number: 783
(75 - 1) * 4 * 3 - 100 - (√ 25) = 783
OK, I’m a cheater, I’ll have to look again later. 
(25 + 3 -1)* (100 + 4 -75) = 783
From the calculator:
Working numbers: 3, 3, 6, 7, 75, 100
Target number: 848
(100 + 6) * (7 + 3/3) = 848
Working numbers: 3, 6, 6, 7, 9, 50
Target number: 567
567 = (50 + 6 + 7) * 9
Numbers are 1, 1, 4, 5, 7, 50
Target is 737
Four numbers, nice.
Hm… This one seems pretty tough. I’ll put (50 - 1) * (7 - 4) * 5 + 1 = 736 and (5 * (50 - 1) + 1) * (7 - 4) = 738 out there in case it’s unsolvable, but hope springs eternal.
(50 + 7 + 6) x 9 = 567.
Numbers: 1, 1, 4, 4, 9, 9.
Target: 225.
ETA: damn, missed a page! I can’t beat the effort above for the latest challenge, but as Indistinguishable didn’t provide a new challenge, I’ll leave mine here.
225 = ((1 + 1 + 4) * 9 * 4) + 9
I think we’ll give everyone several more hours to try and solve my last problem.
Not getting this one - so I thought for yucks I’d throw out my dead ends for other people’s amusement (and to see how my thought process is working for these problems):
Possible angles:
735/7 = 105. You use the 2 1’s to get to 735, so that leaves 4, 5, 50 to get 105. Impossible.
736/(7+1) = 92. 4, 5, 50 to get 92. Also impossible.
735/5 = 147. 4, 7, 50 to get 147. Nope.
Maybe you need to make a big number and divide:
737 x 4 = 2948. 7 x 7 x 50 < 2948 so it can’t be a divide by 4 exercise (or divide by 5 or 7).
That leaves 737 x 2 = 1474. 4, 5, 7, 50 to get 1474 - can’t multiply by 5 so the 5 needs to be added somewhere. Also can’t multiply by 50, so something needs to be added/subtracted from the 50, and you can’t multiply by 55 or 45 either. 12 x 54 is nowhere near big enough, so this whole line is a dead end.
738/(4-1) = 246. 5, 7, 50 to get 246. Nope.
738/(7-1) = 123. 4, 5, 50 to get 123. Nope.
735/(50-1) = 15. But to get to 735 you either need 2 1’s (impossible) or the 7 and 5, which leaves you with 4 and 1 to make 15.
Anyway, I give up. Maybe someone will spot something I missed.
Shall we have Red Skeezix run the solution-checker?
It isn’t solvable, and I’m pretty sure you need all the numbers to get within 1 of the target, so you’re the winner of this round. I’m not sure it’s appropriate to post a link demonstrating that, but there are plenty of numbers games solvers are out there if you search for them. If I strongly suspect that a game is unsolvable and nobody’s cracked it after a day, I have no problem with looking it up.
It’s unsolvable. I got within 2 on my own. I don’t know who is up to propose, but feel free.
Indistinguishable was the first to get to 1 away, so he’s up next.
You know, I bet Indistinguishable wouldn’t mind if someone proposed a problem for him.
Unfortunately, this randomly generated problem seems pretty difficult to me. But maybe that’s a more interesting challenge!
Working numbers: 1, 2, 3, 6, 7, 8
Target number: 951