PROBLEM A: (a3)
PROBLEM B: 4 Diamonds
PROBLEM C: 3 Clubs
PROBLEM D: Pass
PROBLEM E: Pass
PROBLEM F: 3 Notrump
PROBLEM G: 2 Diamonds
PROBLEM H: Heart 4

PROBLEM A: 2 Diamonds
PROBLEM B: 2 Notrump
PROBLEM C: 5 Clubs
PROBLEM D: 6 Diamonds
PROBLEM E: Double
PROBLEM F: 3 Hearts
PROBLEM G: 3 Clubs
PROBLEM H: Heart 6

PROBLEM A: 2 Spades
PROBLEM B: Double
PROBLEM C: Pass
PROBLEM D: 3 Clubs
PROBLEM E: 3 Spades
PROBLEM F: 3 Notrump
PROBLEM G: 6 Hearts
PROBLEM H: Pass | Diamond 3

PROBLEM A: 3 Hearts
PROBLEM B: 4 Clubs   Looks like we have a club fit, I see good slam possiblility
PROBLEM C: 3 Clubs   I don't like to bid 1S then facing a rebid after partner's 1NT or 2D
PROBLEM D: (d2)      Maybe rule of 7
PROBLEM E: Pass
PROBLEM F: 2 Clubs    Hopefully I can rebid D next turn
PROBLEM G: 3 Spades   3S is likely to make and better than 3DX-1, Game is possible too
PROBLEM H: Heart Queen   

PROBLEM A: Double
At first glance, it looks like partner with H support and weakish hand is messing up the opps. But wait a minute, why partner didn't bid 5H then, it preempted both 4S and 5C by opps. With white vs. red, that would be the best option. So my conclusion is partner who bid 4NT, didn't have H support, but a good hand with likely H small singleton. I hope my X tells partner I have one defensive trick and hope partner can make a smart choice.

PROBLEM B: 3 Diamonds
My motive of the 3D bid is partner probably has club shortness. I can imagine a Diamond game vs. 13 count partner.

PROBLEM C: 3 Hearts
Right points and shape for 3H bid.

PROBLEM D: 2 Spades
I don't like to double with a void and I don't like to see a 3S bid by West after I bid 2H. So Michaels, introduce my two suits now.

PROBLEM E: 4 Diamonds
The hand has 8 tricks itself, but where's the 9th trick for 3NT if you can't get to partner's hand. If partner doesn't have the HA nor the SK, there's almost no way to make 3NT, but there are still chances to make 5 level minor game (like a singleton Heart). If partner has either of those, both games would probably make. So I'm on the path to 5 level minor game. 4D here is key card asking for clubs. If I hear the best news, I'd go for 6C, otherwise, I will settle in 5C.
One thing conerned me is the Match Point scoring. Pass could be a good strategy for it.

PROBLEM F: 1 Spade
Just a 3rd seat opening, also a leading directing.

PROBLEM G: 2 Hearts
I don't like my H suit, but I don't see other better choice.

PROBLEM H: Heart Ace
Take a look at dummy first.

PROBLEM A: 3 Notrump
PROBLEM B: 5 Clubs
PROBLEM C: 1 Spade
PROBLEM D: (d)
PROBLEM E: 2 Spades
PROBLEM F: 5 Spades
PROBLEM G: Double
PROBLEM H: Club Queen

PROBLEM A: Pass
PROBLEM B: 2 Spades.   I'd like to settle in Spade with 4-3 fit, and if we have game, Spade game is the most feasible.
PROBLEM C: 2 Clubs.   I don't want to wrong side the NT.
PROBLEM D: Pass.   Hopefully, partner will make a reopening double, and I'd pass.
PROBLEM E: 2 Notrump.   Tough one. I can see other options.
PROBLEM F: 3 Clubs.  To me, opener has a unbalanced hand, probably 5 card clubs.
PROBLEM G: Double
PROBLEM H: Heart King