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trans_gridworld_train_0000
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: (0, 3), (1, 0), (1, 1), (2, 1), (6, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
21
math
trans_gridworld_train_0001
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, 4), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
29
math
trans_gridworld_train_0002
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: (4, 1), (0, 1), (1, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
5
math
trans_gridworld_train_0003
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), (5, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
11
math
trans_gridworld_train_0004
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: (0, 4), (4, 3), (1, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
22
math
trans_gridworld_train_0005
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), (0, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
9
math
trans_gridworld_train_0006
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, 0), (3, 5), (1, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
183
math
trans_gridworld_train_0007
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: (0, 1), (1, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0008
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, 3), (5, 6), (3, 0), (4, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
202
math
trans_gridworld_train_0009
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, 2), (1, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0010
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: (2, 2), (1, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
1
math
trans_gridworld_train_0011
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: (1, 1), (0, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
3
math
trans_gridworld_train_0012
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, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
2
math
trans_gridworld_train_0013
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), (2, 1), (1, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0014
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: (3, 6), (1, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
278
math
trans_gridworld_train_0015
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: (4, 4), (2, 5), (4, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
35
math
trans_gridworld_train_0016
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: (5, 3), (4, 6), (2, 5)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
175
math
trans_gridworld_train_0017
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: (2, 0), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
8
math
trans_gridworld_train_0018
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), (0, 1), (1, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
4
math
trans_gridworld_train_0019
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, 1), (3, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
145
math
trans_gridworld_train_0020
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, 4), (2, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
18
math
trans_gridworld_train_0021
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), (2, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
132
math
trans_gridworld_train_0022
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: (1, 1), (3, 2), (2, 0), (4, 2), (4, 1), (3, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0023
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), (2, 1), (6, 0), (2, 2), (5, 0), (0, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
3
math
trans_gridworld_train_0024
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: (2, 0), (5, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
91
math
trans_gridworld_train_0025
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, 2), (1, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
4
math
trans_gridworld_train_0026
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: (2, 0), (4, 2), (4, 1), (2, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
32
math
trans_gridworld_train_0027
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, 2), (2, 4), (3, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
45
math
trans_gridworld_train_0028
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: (4, 0), (4, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
10
math
trans_gridworld_train_0029
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, 2), (1, 2), (2, 3), (4, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
9
math
trans_gridworld_train_0030
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: (2, 4), (1, 4), (3, 3), (3, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0031
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: (0, 4), (0, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
65
math
trans_gridworld_train_0032
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), (3, 5), (2, 4), (3, 0), (2, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
35
math
trans_gridworld_train_0033
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, 1), (0, 2), (3, 3), (1, 0), (4, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
29
math
trans_gridworld_train_0034
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), (5, 4), (5, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
40
math
trans_gridworld_train_0035
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), (3, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
36
math
trans_gridworld_train_0036
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: (0, 3), (1, 2), (3, 3), (3, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
21
math
trans_gridworld_train_0037
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, 1), (0, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
1
math
trans_gridworld_train_0038
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), (1, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
11
math
trans_gridworld_train_0039
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, 4), (5, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
186
math
trans_gridworld_train_0040
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, 1), (1, 2), (3, 1), (0, 1), (0, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
1
math
trans_gridworld_train_0041
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: (2, 0), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
8
math
trans_gridworld_train_0042
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: (2, 0), (3, 2), (0, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
19
math
trans_gridworld_train_0043
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: (0, 2), (2, 2), (1, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0044
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, 4), (0, 5), (1, 0), (2, 3), (2, 1), (1, 5)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
18
math
trans_gridworld_train_0045
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: (0, 4), (2, 0), (1, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
7
math
trans_gridworld_train_0046
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, 1), (1, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
205
math
trans_gridworld_train_0047
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), (4, 2), (4, 4), (5, 0), (3, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
131
math
trans_gridworld_train_0048
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), (1, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
137
math
trans_gridworld_train_0049
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), (2, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
11
math
trans_gridworld_train_0050
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), (0, 2), (2, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
30
math
trans_gridworld_train_0051
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, 1), (1, 5), (1, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
6
math
trans_gridworld_train_0052
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, 4), (1, 6)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
70
math
trans_gridworld_train_0053
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, 3), (1, 2), (0, 1), (3, 0), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
6
math
trans_gridworld_train_0054
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, 3), (0, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
3
math
trans_gridworld_train_0055
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, 0), (3, 2), (1, 3), (0, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
10
math
trans_gridworld_train_0056
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), (0, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
40
math
trans_gridworld_train_0057
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, 1), (0, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
1
math
trans_gridworld_train_0058
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), (0, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
40
math
trans_gridworld_train_0059
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: (0, 3), (5, 2), (4, 0), (4, 1), (1, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
17
math
trans_gridworld_train_0060
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, 3), (3, 2), (1, 3), (1, 0), (2, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0061
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, 3), (0, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
34
math
trans_gridworld_train_0062
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: (1, 2), (0, 2), (1, 0), (0, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0063
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: (0, 3), (3, 4), (2, 4), (4, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0064
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, 4), (3, 5), (0, 3), (2, 4), (0, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
161
math
trans_gridworld_train_0065
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), (5, 1), (4, 1), (4, 2), (5, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0066
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: (1, 1), (0, 1), (3, 0), (2, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0067
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: (2, 0), (0, 3), (3, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
29
math
trans_gridworld_train_0068
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)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
11
math
trans_gridworld_train_0069
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, 0), (2, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
5
math
trans_gridworld_train_0070
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: (2, 0), (2, 1), (5, 0), (4, 2), (1, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0071
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, 1), (1, 2), (4, 1), (1, 0), (0, 2), (5, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
1
math
trans_gridworld_train_0072
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, 0), (5, 0), (1, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
288
math
trans_gridworld_train_0073
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: (0, 5), (4, 3), (0, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
198
math
trans_gridworld_train_0074
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, 1), (1, 4), (1, 6), (1, 1), (2, 5)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
39
math
trans_gridworld_train_0075
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), (1, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
126
math
trans_gridworld_train_0076
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: (1, 6), (2, 5), (2, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
86
math
trans_gridworld_train_0077
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: (3, 2), (2, 3), (0, 2), (1, 5), (4, 5), (3, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
76
math
trans_gridworld_train_0078
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: (2, 0), (0, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
3
math
trans_gridworld_train_0079
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, 1), (3, 5)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
171
math
trans_gridworld_train_0080
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, 0), (1, 4), (0, 1), (1, 5)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0081
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: (2, 1), (3, 0), (0, 3), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
18
math
trans_gridworld_train_0082
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: (4, 0), (1, 3), (0, 2), (3, 4)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
32
math
trans_gridworld_train_0083
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, 1), (4, 0), (3, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
10
math
trans_gridworld_train_0084
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, 2), (3, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
7
math
trans_gridworld_train_0085
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: (3, 1), (3, 0), (2, 0), (1, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
3
math
trans_gridworld_train_0086
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: (2, 0), (1, 2), (5, 1), (3, 1), (0, 2), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0087
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, 5), (4, 0), (3, 5), (1, 5), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
136
math
trans_gridworld_train_0088
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, 1), (1, 1), (4, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
6
math
trans_gridworld_train_0089
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: (5, 2), (1, 0), (0, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
44
math
trans_gridworld_train_0090
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, 2), (2, 0), (1, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0091
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: (4, 0), (2, 0), (1, 1), (4, 1), (1, 0), (5, 1), (2, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0092
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), (5, 4), (5, 0), (2, 0), (2, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
6
math
trans_gridworld_train_0093
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, 2), (2, 0), (1, 0)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
6
math
trans_gridworld_train_0094
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, 1), (0, 1), (1, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
3
math
trans_gridworld_train_0095
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, 2), (0, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
8
math
trans_gridworld_train_0096
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: (2, 2), (2, 1)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
4
math
trans_gridworld_train_0097
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: (5, 1), (1, 0), (2, 1), (4, 1), (3, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
0
math
trans_gridworld_train_0098
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), (2, 0), (2, 3)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
12
math
trans_gridworld_train_0099
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: (3, 4), (3, 1), (2, 2), (2, 4), (6, 0), (0, 3), (5, 2)?\n\nPresent the answer in LaTex format: \\boxed{Your answer}" } ]
14
math
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