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trans_gridworld_train_0200
trans_gridworld
null
[ { "role": "user", "content": "In a 5x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (3, 3), (3, 1), (3, 4)?\n\nPresent the answe...
6
math
trans_gridworld_train_0201
trans_gridworld
null
[ { "role": "user", "content": "In a 5x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 2), (3, 3), (4, 0)?\n\nPresent the answer in LaT...
13
math
trans_gridworld_train_0202
trans_gridworld
null
[ { "role": "user", "content": "In a 5x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 6), (4, 3), (3, 1), (1, 1), (3, 4)?\n\nPresent t...
37
math
trans_gridworld_train_0203
trans_gridworld
null
[ { "role": "user", "content": "In a 5x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 2), (2, 0), (4, 2), (0, 1)?\n\nPresent the answe...
2
math
trans_gridworld_train_0204
trans_gridworld
null
[ { "role": "user", "content": "In a 4x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 1), (2, 1), (3, 3), (1, 0)?\n\nPresent the answe...
9
math
trans_gridworld_train_0205
trans_gridworld
null
[ { "role": "user", "content": "In a 6x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 0), (0, 1), (4, 0), (3, 1), (1, 1)?\n\nPresent t...
1
math
trans_gridworld_train_0206
trans_gridworld
null
[ { "role": "user", "content": "In a 5x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 3), (2, 4), (0, 2), (1, 2), (4, 2)?\n\nPresent t...
28
math
trans_gridworld_train_0207
trans_gridworld
null
[ { "role": "user", "content": "In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 4), (5, 3), (1, 2), (3, 4)?\n\nPresent the answe...
190
math
trans_gridworld_train_0208
trans_gridworld
null
[ { "role": "user", "content": "In a 3x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (1, 1)?\n\nPresent the answer in LaTex forma...
1
math
trans_gridworld_train_0209
trans_gridworld
null
[ { "role": "user", "content": "In a 6x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (3, 4), (5, 5), (3, 0), (2, 6)?\n\nPresent t...
37
math
trans_gridworld_train_0210
trans_gridworld
null
[ { "role": "user", "content": "In a 4x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 3), (3, 2), (2, 2), (3, 1)?\n\nPresent the answe...
3
math
trans_gridworld_train_0211
trans_gridworld
null
[ { "role": "user", "content": "In a 5x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 3), (4, 3), (2, 2)?\n\nPresent the answer in LaT...
67
math
trans_gridworld_train_0212
trans_gridworld
null
[ { "role": "user", "content": "In a 3x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (0, 2), (2, 0)?\n\nPresent the answer in LaT...
0
math
trans_gridworld_train_0213
trans_gridworld
null
[ { "role": "user", "content": "In a 4x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (1, 4), (0, 3), (0, 2)?\n\nPresent the answe...
19
math
trans_gridworld_train_0214
trans_gridworld
null
[ { "role": "user", "content": "In a 7x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (0, 1), (2, 2), (4, 0), (3, 0), (4, 2)?\n\nP...
4
math
trans_gridworld_train_0215
trans_gridworld
null
[ { "role": "user", "content": "In a 3x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 3), (1, 0), (0, 1)?\n\nPresent the answer in LaT...
0
math
trans_gridworld_train_0216
trans_gridworld
null
[ { "role": "user", "content": "In a 5x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (0, 3)?\n\nPresent the answer in LaTex forma...
14
math
trans_gridworld_train_0217
trans_gridworld
null
[ { "role": "user", "content": "In a 6x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (2, 2), (1, 1), (0, 3)?\n\nPresent the answe...
18
math
trans_gridworld_train_0218
trans_gridworld
null
[ { "role": "user", "content": "In a 7x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (2, 0), (1, 1), (5, 1), (4, 2)?\n\nPresent t...
0
math
trans_gridworld_train_0219
trans_gridworld
null
[ { "role": "user", "content": "In a 6x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 0), (1, 3)?\n\nPresent the answer in LaTex forma...
91
math
trans_gridworld_train_0220
trans_gridworld
null
[ { "role": "user", "content": "In a 3x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 6), (2, 3)?\n\nPresent the answer in LaTex forma...
17
math
trans_gridworld_train_0221
trans_gridworld
null
[ { "role": "user", "content": "In a 5x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (3, 5), (1, 1)?\n\nPresent the answer in LaT...
15
math
trans_gridworld_train_0222
trans_gridworld
null
[ { "role": "user", "content": "In a 4x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (2, 1), (1, 3)?\n\nPresent the answer in LaT...
25
math
trans_gridworld_train_0223
trans_gridworld
null
[ { "role": "user", "content": "In a 4x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 6), (2, 3)?\n\nPresent the answer in LaTex forma...
26
math
trans_gridworld_train_0224
trans_gridworld
null
[ { "role": "user", "content": "In a 5x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (4, 1), (3, 3), (2, 4), (4, 0)?\n\nPresent t...
4
math
trans_gridworld_train_0225
trans_gridworld
null
[ { "role": "user", "content": "In a 4x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 4), (1, 3), (2, 3), (0, 6)?\n\nPresent the answe...
16
math
trans_gridworld_train_0226
trans_gridworld
null
[ { "role": "user", "content": "In a 4x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (1, 3)?\n\nPresent the answer in LaTex forma...
7
math
trans_gridworld_train_0227
trans_gridworld
null
[ { "role": "user", "content": "In a 5x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (2, 0), (2, 1), (0, 1), (4, 0)?\n\nPresent t...
0
math
trans_gridworld_train_0228
trans_gridworld
null
[ { "role": "user", "content": "In a 6x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 3), (2, 0), (4, 0)?\n\nPresent the answer in LaT...
100
math
trans_gridworld_train_0229
trans_gridworld
null
[ { "role": "user", "content": "In a 3x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 3), (0, 3)?\n\nPresent the answer in LaTex forma...
6
math
trans_gridworld_train_0230
trans_gridworld
null
[ { "role": "user", "content": "In a 4x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (1, 4), (3, 1)?\n\nPresent the answer in LaT...
16
math
trans_gridworld_train_0231
trans_gridworld
null
[ { "role": "user", "content": "In a 6x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 3), (3, 1), (2, 1)?\n\nPresent the answer in LaT...
62
math
trans_gridworld_train_0232
trans_gridworld
null
[ { "role": "user", "content": "In a 7x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 1), (1, 0), (3, 0)?\n\nPresent the answer in LaT...
25
math
trans_gridworld_train_0233
trans_gridworld
null
[ { "role": "user", "content": "In a 5x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 1), (0, 4), (2, 0), (1, 5), (1, 0)?\n\nPresent t...
57
math
trans_gridworld_train_0234
trans_gridworld
null
[ { "role": "user", "content": "In a 4x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (1, 2)?\n\nPresent the answer in LaTex forma...
5
math
trans_gridworld_train_0235
trans_gridworld
null
[ { "role": "user", "content": "In a 7x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 3), (4, 1), (2, 4), (1, 1), (1, 0), (4, 4)?\n\nP...
3
math
trans_gridworld_train_0236
trans_gridworld
null
[ { "role": "user", "content": "In a 6x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 0), (0, 5), (1, 1), (4, 2), (0, 4)?\n\nPresent t...
77
math
trans_gridworld_train_0237
trans_gridworld
null
[ { "role": "user", "content": "In a 3x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (0, 2)?\n\nPresent the answer in LaTex forma...
6
math
trans_gridworld_train_0238
trans_gridworld
null
[ { "role": "user", "content": "In a 5x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 6), (2, 2), (1, 1), (0, 5)?\n\nPresent the answe...
35
math
trans_gridworld_train_0239
trans_gridworld
null
[ { "role": "user", "content": "In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 2), (5, 5)?\n\nPresent the answer in LaTex forma...
392
math
trans_gridworld_train_0240
trans_gridworld
null
[ { "role": "user", "content": "In a 5x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (3, 5), (1, 5)?\n\nPresent the answer in LaT...
30
math
trans_gridworld_train_0241
trans_gridworld
null
[ { "role": "user", "content": "In a 4x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 4), (3, 2)?\n\nPresent the answer in LaTex forma...
29
math
trans_gridworld_train_0242
trans_gridworld
null
[ { "role": "user", "content": "In a 3x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 4), (0, 3)?\n\nPresent the answer in LaTex forma...
3
math
trans_gridworld_train_0243
trans_gridworld
null
[ { "role": "user", "content": "In a 5x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 2), (3, 0), (1, 0), (3, 1), (2, 0)?\n\nPresent t...
0
math
trans_gridworld_train_0244
trans_gridworld
null
[ { "role": "user", "content": "In a 5x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (3, 3), (3, 1)?\n\nPresent the answer in LaT...
114
math
trans_gridworld_train_0245
trans_gridworld
null
[ { "role": "user", "content": "In a 3x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (1, 2)?\n\nPresent the answer in LaTex forma...
2
math
trans_gridworld_train_0246
trans_gridworld
null
[ { "role": "user", "content": "In a 4x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 5), (2, 1)?\n\nPresent the answer in LaTex forma...
48
math
trans_gridworld_train_0247
trans_gridworld
null
[ { "role": "user", "content": "In a 3x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 3), (2, 0)?\n\nPresent the answer in LaTex forma...
8
math
trans_gridworld_train_0248
trans_gridworld
null
[ { "role": "user", "content": "In a 5x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 3), (1, 4), (2, 5), (0, 4), (0, 5)?\n\nPresent t...
55
math
trans_gridworld_train_0249
trans_gridworld
null
[ { "role": "user", "content": "In a 6x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 0), (1, 0), (2, 2), (5, 0), (1, 2)?\n\nPresent t...
3
math
trans_gridworld_train_0250
trans_gridworld
null
[ { "role": "user", "content": "In a 4x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (3, 2), (0, 1)?\n\nPresent the answer in LaT...
6
math
trans_gridworld_train_0251
trans_gridworld
null
[ { "role": "user", "content": "In a 7x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 0), (5, 3), (5, 1), (3, 1), (2, 1), (2, 3), (1, ...
2
math
trans_gridworld_train_0252
trans_gridworld
null
[ { "role": "user", "content": "In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 2), (1, 1), (3, 6), (3, 1), (5, 1), (5, 4), (2, ...
60
math
trans_gridworld_train_0253
trans_gridworld
null
[ { "role": "user", "content": "In a 4x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (1, 3), (1, 6), (1, 1)?\n\nPresent the answe...
9
math
trans_gridworld_train_0254
trans_gridworld
null
[ { "role": "user", "content": "In a 3x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (0, 5), (1, 5)?\n\nPresent the answer in LaT...
0
math
trans_gridworld_train_0255
trans_gridworld
null
[ { "role": "user", "content": "In a 5x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (1, 2)?\n\nPresent the answer in LaTex forma...
11
math
trans_gridworld_train_0256
trans_gridworld
null
[ { "role": "user", "content": "In a 4x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 4), (2, 3), (1, 1)?\n\nPresent the answer in LaT...
5
math
trans_gridworld_train_0257
trans_gridworld
null
[ { "role": "user", "content": "In a 6x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (5, 4)?\n\nPresent the answer in LaTex forma...
66
math
trans_gridworld_train_0258
trans_gridworld
null
[ { "role": "user", "content": "In a 3x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 2), (0, 1), (1, 0)?\n\nPresent the answer in LaT...
0
math
trans_gridworld_train_0259
trans_gridworld
null
[ { "role": "user", "content": "In a 6x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 0), (3, 0), (0, 4), (0, 3), (2, 3)?\n\nPresent t...
120
math
trans_gridworld_train_0260
trans_gridworld
null
[ { "role": "user", "content": "In a 7x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (0, 2)?\n\nPresent the answer in LaTex forma...
35
math
trans_gridworld_train_0261
trans_gridworld
null
[ { "role": "user", "content": "In a 6x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (5, 5), (0, 6), (0, 2)?\n\nPresent the answe...
107
math
trans_gridworld_train_0262
trans_gridworld
null
[ { "role": "user", "content": "In a 4x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (1, 0)?\n\nPresent the answer in LaTex forma...
15
math
trans_gridworld_train_0263
trans_gridworld
null
[ { "role": "user", "content": "In a 4x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 0), (3, 1), (2, 3)?\n\nPresent the answer in LaT...
6
math
trans_gridworld_train_0264
trans_gridworld
null
[ { "role": "user", "content": "In a 6x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (1, 0), (4, 0)?\n\nPresent the answer in LaT...
11
math
trans_gridworld_train_0265
trans_gridworld
null
[ { "role": "user", "content": "In a 6x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 3), (3, 6), (1, 5), (5, 1), (1, 6), (3, 5)?\n\nP...
244
math
trans_gridworld_train_0266
trans_gridworld
null
[ { "role": "user", "content": "In a 5x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (1, 0), (2, 3)?\n\nPresent the answer in LaT...
9
math
trans_gridworld_train_0267
trans_gridworld
null
[ { "role": "user", "content": "In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 4), (6, 4), (2, 5)?\n\nPresent the answer in LaT...
259
math
trans_gridworld_train_0268
trans_gridworld
null
[ { "role": "user", "content": "In a 3x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 0), (2, 2)?\n\nPresent the answer in LaTex forma...
3
math
trans_gridworld_train_0269
trans_gridworld
null
[ { "role": "user", "content": "In a 3x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (2, 1)?\n\nPresent the answer in LaTex forma...
18
math
trans_gridworld_train_0270
trans_gridworld
null
[ { "role": "user", "content": "In a 3x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 2), (1, 5)?\n\nPresent the answer in LaTex forma...
9
math
trans_gridworld_train_0271
trans_gridworld
null
[ { "role": "user", "content": "In a 3x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 4), (0, 3)?\n\nPresent the answer in LaTex forma...
18
math
trans_gridworld_train_0272
trans_gridworld
null
[ { "role": "user", "content": "In a 7x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 3), (5, 1), (3, 4), (1, 3), (2, 2)?\n\nPresent t...
86
math
trans_gridworld_train_0273
trans_gridworld
null
[ { "role": "user", "content": "In a 3x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 2), (2, 0), (2, 2)?\n\nPresent the answer in LaT...
2
math
trans_gridworld_train_0274
trans_gridworld
null
[ { "role": "user", "content": "In a 7x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 1), (0, 3), (0, 1), (2, 3), (5, 3)?\n\nPresent t...
11
math
trans_gridworld_train_0275
trans_gridworld
null
[ { "role": "user", "content": "In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 3), (4, 4), (5, 2)?\n\nPresent the answer in LaT...
357
math
trans_gridworld_train_0276
trans_gridworld
null
[ { "role": "user", "content": "In a 6x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 0), (5, 1)?\n\nPresent the answer in LaTex forma...
117
math
trans_gridworld_train_0277
trans_gridworld
null
[ { "role": "user", "content": "In a 3x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 2), (1, 0)?\n\nPresent the answer in LaTex forma...
3
math
trans_gridworld_train_0278
trans_gridworld
null
[ { "role": "user", "content": "In a 4x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 3), (0, 3), (2, 1)?\n\nPresent the answer in LaT...
21
math
trans_gridworld_train_0279
trans_gridworld
null
[ { "role": "user", "content": "In a 3x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (1, 3)?\n\nPresent the answer in LaTex forma...
3
math
trans_gridworld_train_0280
trans_gridworld
null
[ { "role": "user", "content": "In a 3x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (0, 4)?\n\nPresent the answer in LaTex forma...
6
math
trans_gridworld_train_0281
trans_gridworld
null
[ { "role": "user", "content": "In a 5x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 0), (0, 6)?\n\nPresent the answer in LaTex forma...
208
math
trans_gridworld_train_0282
trans_gridworld
null
[ { "role": "user", "content": "In a 3x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 0), (0, 2)?\n\nPresent the answer in LaTex forma...
2
math
trans_gridworld_train_0283
trans_gridworld
null
[ { "role": "user", "content": "In a 5x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (0, 2), (1, 1), (1, 0), (3, 1)?\n\nPresent t...
0
math
trans_gridworld_train_0284
trans_gridworld
null
[ { "role": "user", "content": "In a 5x3 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 2), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (1, 1), (1, 0), (2, 1)?\n\nPresent the answe...
1
math
trans_gridworld_train_0285
trans_gridworld
null
[ { "role": "user", "content": "In a 3x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (2, 1), (2, 2)?\n\nPresent the answer in LaT...
5
math
trans_gridworld_train_0286
trans_gridworld
null
[ { "role": "user", "content": "In a 5x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (3, 4)?\n\nPresent the answer in LaTex forma...
31
math
trans_gridworld_train_0287
trans_gridworld
null
[ { "role": "user", "content": "In a 5x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (2, 3), (0, 2)?\n\nPresent the answer in LaT...
8
math
trans_gridworld_train_0288
trans_gridworld
null
[ { "role": "user", "content": "In a 6x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 3), (0, 3), (2, 0), (2, 4)?\n\nPresent the answe...
26
math
trans_gridworld_train_0289
trans_gridworld
null
[ { "role": "user", "content": "In a 3x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (1, 5)?\n\nPresent the answer in LaTex forma...
14
math
trans_gridworld_train_0290
trans_gridworld
null
[ { "role": "user", "content": "In a 3x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (1, 4)?\n\nPresent the answer in LaTex forma...
5
math
trans_gridworld_train_0291
trans_gridworld
null
[ { "role": "user", "content": "In a 5x4 grid, how many different paths are there from the bottom left (0, 0) to the top right (4, 3), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 2), (3, 2), (0, 3), (3, 0), (3, 1)?\n\nPresent t...
9
math
trans_gridworld_train_0292
trans_gridworld
null
[ { "role": "user", "content": "In a 3x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (0, 2), (2, 3)?\n\nPresent the answer in LaT...
2
math
trans_gridworld_train_0293
trans_gridworld
null
[ { "role": "user", "content": "In a 3x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (0, 2)?\n\nPresent the answer in LaTex forma...
10
math
trans_gridworld_train_0294
trans_gridworld
null
[ { "role": "user", "content": "In a 7x6 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 5), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 3), (5, 0)?\n\nPresent the answer in LaTex forma...
246
math
trans_gridworld_train_0295
trans_gridworld
null
[ { "role": "user", "content": "In a 3x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (2, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 5), (1, 5), (0, 4)?\n\nPresent the answer in LaT...
14
math
trans_gridworld_train_0296
trans_gridworld
null
[ { "role": "user", "content": "In a 4x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (3, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 3), (1, 2), (2, 5)?\n\nPresent the answer in LaT...
13
math
trans_gridworld_train_0297
trans_gridworld
null
[ { "role": "user", "content": "In a 7x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 2), (0, 3)?\n\nPresent the answer in LaTex forma...
140
math
trans_gridworld_train_0298
trans_gridworld
null
[ { "role": "user", "content": "In a 6x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (5, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 6), (0, 6), (0, 1), (0, 3), (1, 5)?\n\nPresent t...
205
math
trans_gridworld_train_0299
trans_gridworld
null
[ { "role": "user", "content": "In a 7x5 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 4), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 1), (2, 1), (0, 2), (6, 0), (3, 4), (1, 3), (1, ...
30
math