I thought I'd start this series with a moreorless "standard" position, if there is such a thing for this type of problem. I don't know exactly what I mean by "standard" but the two bonus positions below will give you some idea of what I mean.
Some of the positions that I'll post later in this series are decidedly more baroque.
  White is Player 2
score: 0 pip: 145  Unlimited Game  pip: 152 score: 0
Blue is Player 1  
XGID=aBDaCbDbabbbbB:1:1:1:42:0:0:0:0:10 
Blue to play 42 
1.  Rollout^{1}  22/16*  eq: +0.008 
 Player: Opponent:  44.76% (G:13.65% B:0.96%) 55.24% (G:19.08% B:0.82%)  Conf.: ± 0.013 (0.005...+0.021)  [100.0%] Duration: 20 minutes 21 seconds 

2.  Rollout^{1}  13/7*  eq: 0.058 (0.066) 
 Player: Opponent:  40.95% (G:12.82% B:0.68%) 59.05% (G:15.72% B:0.71%)  Conf.: ± 0.012 (0.070...0.046)  [0.0%] Duration: 17 minutes 35 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10
Bonus 1:
  White is Player 2
score: 0 pip: 121  Unlimited Game  pip: 170 score: 0
Blue is Player 1  
XGID=aBCCcDabbbBbbA:1:1:1:52:0:0:0:0:10 
Blue to play 52 
1.  Rollout^{1}  21/14*  eq: 0.199 
 Player: Opponent:  41.55% (G:10.11% B:0.47%) 58.45% (G:28.47% B:1.82%)  Conf.: ± 0.009 (0.209...0.190)  [100.0%] Duration: 16 minutes 46 seconds 

2.  Rollout^{1}  13/11 13/8  eq: 0.229 (0.030) 
 Player: Opponent:  37.99% (G:7.41% B:0.29%) 62.01% (G:20.96% B:0.75%)  Conf.: ± 0.009 (0.238...0.220)  [0.0%] Duration: 18 minutes 05 seconds 

3.  Rollout^{1}  13/6  eq: 0.236 (0.036) 
 Player: Opponent:  36.87% (G:7.21% B:0.26%) 63.13% (G:18.76% B:0.54%)  Conf.: ± 0.008 (0.244...0.227)  [0.0%] Duration: 16 minutes 21 seconds 


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10
Bonus 2:
  White is Player 2
score: 0 pip: 129  Unlimited Game  pip: 154 score: 0
Blue is Player 1  
XGID=aBEBbCabbeBbA:0:0:1:61:0:0:0:0:10 
Blue to play 61 
1.  Rollout^{1}  23/22 20/14*  eq: 0.256 
 Player: Opponent:  43.92% (G:12.61% B:0.56%) 56.08% (G:19.26% B:1.11%)  Conf.: ± 0.015 (0.272...0.241)  [97.5%] Duration: 19 minutes 45 seconds 

2.  Rollout^{1}  20/14* 14/13  eq: 0.276 (0.020) 
 Player: Opponent:  42.92% (G:12.19% B:0.46%) 57.08% (G:18.28% B:0.73%)  Conf.: ± 0.013 (0.290...0.263)  [2.5%] Duration: 18 minutes 57 seconds 

3.  XG Roller+  23/16  eq: 0.380 (0.124) 
 Player: Opponent:  39.38% (G:7.45% B:0.20%) 60.62% (G:10.95% B:0.30%)  


^{1} 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10