id stringlengths 34 34 | setting_key stringclasses 1 value | setting_name stringclasses 0 values | messages listlengths 1 1 | ground_truth stringclasses 165 values | dataset stringclasses 1 value |
|---|---|---|---|---|---|
logic_gridworld_blocked_train_0000 | logic_gridworld_blocked | 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 t... | 21 | math |
logic_gridworld_blocked_train_0001 | logic_gridworld_blocked | 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 forma... | 29 | math |
logic_gridworld_blocked_train_0002 | logic_gridworld_blocked | 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 LaT... | 5 | math |
logic_gridworld_blocked_train_0003 | logic_gridworld_blocked | 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 forma... | 11 | math |
logic_gridworld_blocked_train_0004 | logic_gridworld_blocked | 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 LaT... | 22 | math |
logic_gridworld_blocked_train_0005 | logic_gridworld_blocked | 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 forma... | 9 | math |
logic_gridworld_blocked_train_0006 | logic_gridworld_blocked | 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 LaT... | 183 | math |
logic_gridworld_blocked_train_0007 | logic_gridworld_blocked | 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 forma... | 0 | math |
logic_gridworld_blocked_train_0008 | logic_gridworld_blocked | 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 answe... | 202 | math |
logic_gridworld_blocked_train_0009 | logic_gridworld_blocked | 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 LaT... | 0 | math |
logic_gridworld_blocked_train_0010 | logic_gridworld_blocked | 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 forma... | 1 | math |
logic_gridworld_blocked_train_0011 | logic_gridworld_blocked | 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 forma... | 3 | math |
logic_gridworld_blocked_train_0012 | logic_gridworld_blocked | 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 forma... | 2 | math |
logic_gridworld_blocked_train_0013 | logic_gridworld_blocked | 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 LaT... | 0 | math |
logic_gridworld_blocked_train_0014 | logic_gridworld_blocked | 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 forma... | 278 | math |
logic_gridworld_blocked_train_0015 | logic_gridworld_blocked | 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 LaT... | 35 | math |
logic_gridworld_blocked_train_0016 | logic_gridworld_blocked | 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 LaT... | 175 | math |
logic_gridworld_blocked_train_0017 | logic_gridworld_blocked | 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 forma... | 8 | math |
logic_gridworld_blocked_train_0018 | logic_gridworld_blocked | 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 LaT... | 4 | math |
logic_gridworld_blocked_train_0019 | logic_gridworld_blocked | 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 forma... | 145 | math |
logic_gridworld_blocked_train_0020 | logic_gridworld_blocked | 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 forma... | 18 | math |
logic_gridworld_blocked_train_0021 | logic_gridworld_blocked | 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 forma... | 132 | math |
logic_gridworld_blocked_train_0022 | logic_gridworld_blocked | 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\nP... | 0 | math |
logic_gridworld_blocked_train_0023 | logic_gridworld_blocked | 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\nP... | 3 | math |
logic_gridworld_blocked_train_0024 | logic_gridworld_blocked | 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 forma... | 91 | math |
logic_gridworld_blocked_train_0025 | logic_gridworld_blocked | 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 forma... | 4 | math |
logic_gridworld_blocked_train_0026 | logic_gridworld_blocked | 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 answe... | 32 | math |
logic_gridworld_blocked_train_0027 | logic_gridworld_blocked | 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 LaT... | 45 | math |
logic_gridworld_blocked_train_0028 | logic_gridworld_blocked | 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 forma... | 10 | math |
logic_gridworld_blocked_train_0029 | logic_gridworld_blocked | 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 answe... | 9 | math |
logic_gridworld_blocked_train_0030 | logic_gridworld_blocked | 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 answe... | 0 | math |
logic_gridworld_blocked_train_0031 | logic_gridworld_blocked | 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 forma... | 65 | math |
logic_gridworld_blocked_train_0032 | logic_gridworld_blocked | 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 t... | 35 | math |
logic_gridworld_blocked_train_0033 | logic_gridworld_blocked | 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 t... | 29 | math |
logic_gridworld_blocked_train_0034 | logic_gridworld_blocked | 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 LaT... | 40 | math |
logic_gridworld_blocked_train_0035 | logic_gridworld_blocked | 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 forma... | 36 | math |
logic_gridworld_blocked_train_0036 | logic_gridworld_blocked | 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 answe... | 21 | math |
logic_gridworld_blocked_train_0037 | logic_gridworld_blocked | 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 forma... | 1 | math |
logic_gridworld_blocked_train_0038 | logic_gridworld_blocked | 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 forma... | 11 | math |
logic_gridworld_blocked_train_0039 | logic_gridworld_blocked | 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 forma... | 186 | math |
logic_gridworld_blocked_train_0040 | logic_gridworld_blocked | 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 t... | 1 | math |
logic_gridworld_blocked_train_0041 | logic_gridworld_blocked | 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 forma... | 8 | math |
logic_gridworld_blocked_train_0042 | logic_gridworld_blocked | 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 LaT... | 19 | math |
logic_gridworld_blocked_train_0043 | logic_gridworld_blocked | 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 LaT... | 0 | math |
logic_gridworld_blocked_train_0044 | logic_gridworld_blocked | 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\nP... | 18 | math |
logic_gridworld_blocked_train_0045 | logic_gridworld_blocked | 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 LaT... | 7 | math |
logic_gridworld_blocked_train_0046 | logic_gridworld_blocked | 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 forma... | 205 | math |
logic_gridworld_blocked_train_0047 | logic_gridworld_blocked | 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 t... | 131 | math |
logic_gridworld_blocked_train_0048 | logic_gridworld_blocked | 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 forma... | 137 | math |
logic_gridworld_blocked_train_0049 | logic_gridworld_blocked | 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 forma... | 11 | math |
logic_gridworld_blocked_train_0050 | logic_gridworld_blocked | 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 LaT... | 30 | math |
logic_gridworld_blocked_train_0051 | logic_gridworld_blocked | 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 LaT... | 6 | math |
logic_gridworld_blocked_train_0052 | logic_gridworld_blocked | 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 forma... | 70 | math |
logic_gridworld_blocked_train_0053 | logic_gridworld_blocked | 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 t... | 6 | math |
logic_gridworld_blocked_train_0054 | logic_gridworld_blocked | 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 forma... | 3 | math |
logic_gridworld_blocked_train_0055 | logic_gridworld_blocked | 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 answe... | 10 | math |
logic_gridworld_blocked_train_0056 | logic_gridworld_blocked | 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 forma... | 40 | math |
logic_gridworld_blocked_train_0057 | logic_gridworld_blocked | 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 forma... | 1 | math |
logic_gridworld_blocked_train_0058 | logic_gridworld_blocked | 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 forma... | 40 | math |
logic_gridworld_blocked_train_0059 | logic_gridworld_blocked | 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 t... | 17 | math |
logic_gridworld_blocked_train_0060 | logic_gridworld_blocked | 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 t... | 0 | math |
logic_gridworld_blocked_train_0061 | logic_gridworld_blocked | 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 forma... | 34 | math |
logic_gridworld_blocked_train_0062 | logic_gridworld_blocked | 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 answe... | 0 | math |
logic_gridworld_blocked_train_0063 | logic_gridworld_blocked | 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 answe... | 0 | math |
logic_gridworld_blocked_train_0064 | logic_gridworld_blocked | 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 t... | 161 | math |
logic_gridworld_blocked_train_0065 | logic_gridworld_blocked | 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 t... | 0 | math |
logic_gridworld_blocked_train_0066 | logic_gridworld_blocked | 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 answe... | 0 | math |
logic_gridworld_blocked_train_0067 | logic_gridworld_blocked | 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 LaT... | 29 | math |
logic_gridworld_blocked_train_0068 | logic_gridworld_blocked | 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 forma... | 11 | math |
logic_gridworld_blocked_train_0069 | logic_gridworld_blocked | 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 forma... | 5 | math |
logic_gridworld_blocked_train_0070 | logic_gridworld_blocked | 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 t... | 0 | math |
logic_gridworld_blocked_train_0071 | logic_gridworld_blocked | 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\nP... | 1 | math |
logic_gridworld_blocked_train_0072 | logic_gridworld_blocked | 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 LaT... | 288 | math |
logic_gridworld_blocked_train_0073 | logic_gridworld_blocked | 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 LaT... | 198 | math |
logic_gridworld_blocked_train_0074 | logic_gridworld_blocked | 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 t... | 39 | math |
logic_gridworld_blocked_train_0075 | logic_gridworld_blocked | 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 forma... | 126 | math |
logic_gridworld_blocked_train_0076 | logic_gridworld_blocked | 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 LaT... | 86 | math |
logic_gridworld_blocked_train_0077 | logic_gridworld_blocked | 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\nP... | 76 | math |
logic_gridworld_blocked_train_0078 | logic_gridworld_blocked | 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 forma... | 3 | math |
logic_gridworld_blocked_train_0079 | logic_gridworld_blocked | 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 forma... | 171 | math |
logic_gridworld_blocked_train_0080 | logic_gridworld_blocked | 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 answe... | 0 | math |
logic_gridworld_blocked_train_0081 | logic_gridworld_blocked | 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 answe... | 18 | math |
logic_gridworld_blocked_train_0082 | logic_gridworld_blocked | 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 answe... | 32 | math |
logic_gridworld_blocked_train_0083 | logic_gridworld_blocked | 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 LaT... | 10 | math |
logic_gridworld_blocked_train_0084 | logic_gridworld_blocked | 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 forma... | 7 | math |
logic_gridworld_blocked_train_0085 | logic_gridworld_blocked | 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 answe... | 3 | math |
logic_gridworld_blocked_train_0086 | logic_gridworld_blocked | 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\nP... | 0 | math |
logic_gridworld_blocked_train_0087 | logic_gridworld_blocked | 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 t... | 136 | math |
logic_gridworld_blocked_train_0088 | logic_gridworld_blocked | 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 LaT... | 6 | math |
logic_gridworld_blocked_train_0089 | logic_gridworld_blocked | 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 LaT... | 44 | math |
logic_gridworld_blocked_train_0090 | logic_gridworld_blocked | 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 LaT... | 0 | math |
logic_gridworld_blocked_train_0091 | logic_gridworld_blocked | 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, ... | 0 | math |
logic_gridworld_blocked_train_0092 | logic_gridworld_blocked | 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 t... | 6 | math |
logic_gridworld_blocked_train_0093 | logic_gridworld_blocked | 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 LaT... | 6 | math |
logic_gridworld_blocked_train_0094 | logic_gridworld_blocked | 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 LaT... | 3 | math |
logic_gridworld_blocked_train_0095 | logic_gridworld_blocked | 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 forma... | 8 | math |
logic_gridworld_blocked_train_0096 | logic_gridworld_blocked | 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 forma... | 4 | math |
logic_gridworld_blocked_train_0097 | logic_gridworld_blocked | 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 t... | 0 | math |
logic_gridworld_blocked_train_0098 | logic_gridworld_blocked | 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 LaT... | 12 | math |
logic_gridworld_blocked_train_0099 | logic_gridworld_blocked | 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, ... | 14 | math |
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