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Question: On this Go board (X=black, O=white), is the black group containing r4c3 in atari? X . . . . . . . . X . . O . X . . X . . . O . X . Let's think step by step. - The black group containing r4c3: r4c3. - Its liberties: r4c2 r4c4 r5c3 (3 total). - Atari means exactly 1 liberty. - check: 3 != 1, so the group is no...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 4 . 3 2 2 4 1 3 3 2 4 1 1 3 2 4 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r1 contains 2 + 3 + 4 = 9. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 9 = 1. - check: col...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c2 have? X O . . . O O . . . . . . . O . X X X . . . . . . Let's think step by step. - The black group containing r4c2: r4c2, r4c3, r4c4. - Its empty neighbors: r3c2 r3c3 r3c4 r4c1 r4c5 r5c2 r5c3 r5c4. - check: empty nei...
Question: A Sudoku column reads: 1 6 4 ? 2 9 7 5 3. What digit goes in the ? cell? Let's think step by step. - The column must contain each of 1-9 exactly once. - Present digits: 1 2 3 4 5 6 7 9, which sum to 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 = 37. - 1 through 9 sum to 45, so the missing digit is 45 - 37 = 8. - check: the ...
Question: On this Go board (X=black, O=white), is the black group containing r4c3 in atari? . . . . . . X . . . . . . . . . O X . X . X . . . Let's think step by step. - The black group containing r4c3: r4c3. - Its liberties: r3c3 r4c4 r5c3 (3 total). - Atari means exactly 1 liberty. - check: 3 != 1, so the group is no...
Question: A Sudoku 3x3 box reads: 3 5 8 1 7 ? 9 6 4. What digit goes in the ? cell? Let's think step by step. - The 3x3 box must contain each of 1-9 exactly once. - Present digits: 1 3 4 5 6 7 8 9, which sum to 1 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 43. - 1 through 9 sum to 45, so the missing digit is 45 - 43 = 2. - check: th...
Question: What is 51 + 67? Let's think step by step. - 1 + 7 = 8 -> write 8 - 5 + 6 = 11 -> write 1, carry 1 - carry 1 -> write 1 - written: 8 1 1 -> answer 118 Answer: 118
Question: What is 743 + 125? Let's think step by step. - 3 + 5 = 8 -> write 8 - 4 + 2 = 6 -> write 6 - 7 + 1 = 8 -> write 8 - written: 8 6 8 -> answer 868 Answer: 868
Question: What is 344 + 587? Let's think step by step. - 4 + 7 = 11 -> write 1, carry 1 - 4 + 8 + 1 = 13 -> write 3, carry 1 - 3 + 5 + 1 = 9 -> write 9 - written: 1 3 9 -> answer 931 Answer: 931
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r5c3 have? . . . O . X . X . . . . . . . . . . . . . . X . . Let's think step by step. - The black group containing r5c3: r5c3. - Its empty neighbors: r4c3 r5c2 r5c4. - check: empty neighbors per stone: 3 = 3. - no neighbo...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c2? Answer with the cell. X O . O . X X . . . O O . . X . O . . . . . . . . Let's think step by step. - The white group containing r1c2: r1c2. - Its only liberty: r1c3. - Black plays at r1c3 -> the group has no l...
Question: What is 6 + 1? Let's think step by step. - 6 + 1 = 7 -> write 7 - written: 7 -> answer 7 Answer: 7
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 4 2 . . 2 1 3 4 1 3 4 2 3 . 2 1 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c3: row has [2, 4], column has [2, 3, 4] -> only 1 fits. - Cell r1c4: row has [1, 2, 4], colum...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r4c5? Answer with the cell. . . . . . . X . . . O O . . X . . . X O . X O . . Let's think step by step. - The white group containing r4c5: r4c5. - Its only liberty: r5c5. - Black plays at r5c5 -> the group has no l...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c5? Answer with the cell. . . O X O X . O . . . . X . . . . X . . . O . . . Let's think step by step. - The white group containing r1c5: r1c5. - Its only liberty: r2c5. - Black plays at r2c5 -> the group has no l...
Question: On this Go board (X=black, O=white), is the black group containing r2c4 in atari? . O . . . . . . X . . X . . . . . . . . X X O X . Let's think step by step. - The black group containing r2c4: r2c4. - Its liberties: r1c4 r2c3 r2c5 r3c4 (4 total). - Atari means exactly 1 liberty. - check: 4 != 1, so the group ...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c5 have? X . . . . . . . . X . . . . . . . X . . O . . . . Let's think step by step. - The black group containing r2c5: r2c5. - Its empty neighbors: r1c5 r2c4 r3c5. - check: empty neighbors per stone: 3 = 3. - no neighbo...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c4? Answer with the cell. . . . . . X X . . . . X O . O . . O . O . . X O X Let's think step by step. - The white group containing r5c4: r5c4. - Its only liberty: r4c4. - Black plays at r4c4 -> the group has no l...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c4 have? . . . . . . X . . . . X O X . . X . . . O . . . . Let's think step by step. - The black group containing r3c4: r3c4. - Its empty neighbors: r2c4 r3c5 r4c4. - Blocked by: r3c3. - check: empty neighbors per stone:...
Question: What is 546 + 938? Let's think step by step. - 6 + 8 = 14 -> write 4, carry 1 - 4 + 3 + 1 = 8 -> write 8 - 5 + 9 = 14 -> write 4, carry 1 - carry 1 -> write 1 - written: 4 8 4 1 -> answer 1484 Answer: 1484
Question: What is 0 + 3? Let's think step by step. - 0 + 3 = 3 -> write 3 - written: 3 -> answer 3 Answer: 3
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c2 have? . X O . . . . . . . . O . X . X . . . O X X . O . Let's think step by step. - The black group containing r1c2: r1c2. - Its empty neighbors: r1c1 r2c2. - Blocked by: r1c3. - check: empty neighbors per stone: 2 = ...
Question: On this Go board (X=black, O=white), is the black group containing r2c1 in atari? . O . . X X . . X . . . . X . O . . . . . . O . . Let's think step by step. - The black group containing r2c1: r2c1. - Its liberties: r1c1 r2c2 r3c1 (3 total). - Atari means exactly 1 liberty. - check: 3 != 1, so the group is no...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c3? Answer with the cell. . X O . . . . X O . . X . X . . . X . . . . . . . Let's think step by step. - The white group containing r1c3: r1c3. - Its only liberty: r1c4. - Black plays at r1c4 -> the group has no l...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c1? Answer with the cell. . . X . . . . . . . . . . . . X . . . . O . O . . Let's think step by step. - The white group containing r5c1: r5c1. - Its only liberty: r5c2. - Black plays at r5c2 -> the group has no l...
Question: A Sudoku column reads: 1 3 ? 2 8 5 9 4 7. What digit goes in the ? cell? Let's think step by step. - The column must contain each of 1-9 exactly once. - Present digits: 1 2 3 4 5 7 8 9, which sum to 1 + 2 + 3 + 4 + 5 + 7 + 8 + 9 = 39. - 1 through 9 sum to 45, so the missing digit is 45 - 39 = 6. - check: the ...
Question: What is 6 + 2? Let's think step by step. - 6 + 2 = 8 -> write 8 - written: 8 -> answer 8 Answer: 8
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 2 1 4 3 . 4 3 2 3 2 1 4 4 3 2 1 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r2 contains 2 + 3 + 4 = 9. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 9 = 1. - check: col...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 1 2 3 4 3 4 1 2 2 3 4 1 4 1 . 3 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r4 contains 1 + 3 + 4 = 8. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 8 = 2. - check: col...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c4 have? . . . . . . . . . X X . . X O . . . . X . . . . . Let's think step by step. - The black group containing r3c4: r3c4. - Its empty neighbors: r2c4 r3c3 r4c4. - Blocked by: r3c5. - check: empty neighbors per stone:...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 2 4 3 1 1 . 4 . 3 1 2 4 4 3 1 2 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r2c2: row has [1, 4], column has [1, 3, 4] -> only 2 fits. - Cell r2c4: row has [1, 2, 4], colum...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c5? Answer with the cell. . . . . . . X . . . . . . . . . . . . . . O . X O Let's think step by step. - The white group containing r5c5: r5c5. - Its only liberty: r4c5. - Black plays at r4c5 -> the group has no l...
Question: On this Go board (X=black, O=white), is the black group containing r1c1 in atari? X . . . O . X . . . . . . . . . . . . . . . . . . Let's think step by step. - The black group containing r1c1: r1c1. - Its liberties: r1c2 r2c1 (2 total). - Atari means exactly 1 liberty. - check: 2 != 1, so the group is not in ...
Question: What is 71 + 56? Let's think step by step. - 1 + 6 = 7 -> write 7 - 7 + 5 = 12 -> write 2, carry 1 - carry 1 -> write 1 - written: 7 2 1 -> answer 127 Answer: 127
Question: A Sudoku 3x3 box reads: 4 9 3 ? 2 6 1 8 7. What digit goes in the ? cell? Let's think step by step. - The 3x3 box must contain each of 1-9 exactly once. - Present digits: 1 2 3 4 6 7 8 9, which sum to 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 = 40. - 1 through 9 sum to 45, so the missing digit is 45 - 40 = 5. - check: th...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): . 3 . 4 3 2 4 1 2 4 1 3 . 1 3 2 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c1: row has [3, 4], column has [2, 3] -> only 1 fits. - Cell r1c3: row has [1, 3, 4], column h...
Question: A Sudoku 3x3 box reads: 8 7 ? 4 5 1 9 2 6. What digit goes in the ? cell? Let's think step by step. - The 3x3 box must contain each of 1-9 exactly once. - Present digits: 1 2 4 5 6 7 8 9, which sum to 1 + 2 + 4 + 5 + 6 + 7 + 8 + 9 = 42. - 1 through 9 sum to 45, so the missing digit is 45 - 42 = 3. - check: th...
Question: What is 84 + 73? Let's think step by step. - 4 + 3 = 7 -> write 7 - 8 + 7 = 15 -> write 5, carry 1 - carry 1 -> write 1 - written: 7 5 1 -> answer 157 Answer: 157
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 3 1 4 2 . 3 1 4 4 2 . . 1 4 2 3 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r2c1: row has [1, 3, 4], column has [1, 3, 4] -> only 2 fits. - Cell r3c3: row has [2, 4], colum...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 4 3 2 1 1 4 . 2 3 2 1 4 2 1 4 . Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r2c3: row has [1, 2, 4], column has [1, 2, 4] -> only 3 fits. - Cell r4c4: row has [1, 2, 4], co...
Question: What is 46 + 60? Let's think step by step. - 6 + 0 = 6 -> write 6 - 4 + 6 = 10 -> write 0, carry 1 - carry 1 -> write 1 - written: 6 0 1 -> answer 106 Answer: 106
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c4? Answer with the cell. . . . . . . . X . . X X . . . . O . X . . . . O X Let's think step by step. - The white group containing r5c4: r5c4. - Its only liberty: r5c3. - Black plays at r5c3 -> the group has no l...
Question: What is 5 + 4? Let's think step by step. - 5 + 4 = 9 -> write 9 - written: 9 -> answer 9 Answer: 9
Question: What is 4420 + 7842? Let's think step by step. - 0 + 2 = 2 -> write 2 - 2 + 4 = 6 -> write 6 - 4 + 8 = 12 -> write 2, carry 1 - 4 + 7 + 1 = 12 -> write 2, carry 1 - carry 1 -> write 1 - written: 2 6 2 2 1 -> answer 12262 Answer: 12262
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 4 . 1 3 2 1 3 4 1 3 4 2 3 4 2 1 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r1 contains 1 + 3 + 4 = 8. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 8 = 2. - check: col...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c5 have? . O . . X . . . . X . . . . X . . . . . . X X . . Let's think step by step. - The black group containing r2c5: r1c5, r2c5, r3c5. - Its empty neighbors: r1c4 r2c4 r3c4 r4c5. - check: empty neighbors per stone: 1 ...
Question: What is 9 + 9? Let's think step by step. - 9 + 9 = 18 -> write 8, carry 1 - carry 1 -> write 1 - written: 8 1 -> answer 18 Answer: 18
Question: A Sudoku row reads: 4 3 2 1 6 ? 7 9 5. What digit goes in the ? cell? Let's think step by step. - The row must contain each of 1-9 exactly once. - Present digits: 1 2 3 4 5 6 7 9, which sum to 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 = 37. - 1 through 9 sum to 45, so the missing digit is 45 - 37 = 8. - check: the full r...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 4 2 3 1 3 . 4 2 2 3 1 4 1 4 2 3 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r2 contains 2 + 3 + 4 = 9. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 9 = 1. - check: col...
Question: What is 54 + 80? Let's think step by step. - 4 + 0 = 4 -> write 4 - 5 + 8 = 13 -> write 3, carry 1 - carry 1 -> write 1 - written: 4 3 1 -> answer 134 Answer: 134
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 4 . . 3 2 1 3 4 . 4 2 1 1 3 4 2 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c2: row has [3, 4], column has [1, 3, 4] -> only 2 fits. - Cell r1c3: row has [2, 3, 4], colum...
Question: On this Go board (X=black, O=white), is the black group containing r2c2 in atari? . . . . . . X . . . O . . . O . . O . . . O . . X Let's think step by step. - The black group containing r2c2: r2c2. - Its liberties: r1c2 r2c1 r2c3 r3c2 (4 total). - Atari means exactly 1 liberty. - check: 4 != 1, so the group ...
Question: On this Go board (X=black, O=white), is the black group containing r3c1 in atari? X . X . . . . . . . X . . . . . . . . . . . O . O Let's think step by step. - The black group containing r3c1: r3c1. - Its liberties: r2c1 r3c2 r4c1 (3 total). - Atari means exactly 1 liberty. - check: 3 != 1, so the group is no...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c2 have? . X . X . . X . . . . . . . . . . . . O . . . . X Let's think step by step. - The black group containing r2c2: r1c2, r2c2. - Its empty neighbors: r1c1 r1c3 r2c1 r2c3 r3c2. - check: empty neighbors per stone: 2 +...
Question: What is 9117 + 1165? Let's think step by step. - 7 + 5 = 12 -> write 2, carry 1 - 1 + 6 + 1 = 8 -> write 8 - 1 + 1 = 2 -> write 2 - 9 + 1 = 10 -> write 0, carry 1 - carry 1 -> write 1 - written: 2 8 2 0 1 -> answer 10282 Answer: 10282
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 1 . . 2 3 4 2 1 2 1 3 4 . 2 1 3 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c2: row has [1, 2], column has [1, 2, 4] -> only 3 fits. - Cell r1c3: row has [1, 2, 3], colum...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c3 have? . . O . . . X . . . . . X . . . . O . . . . O . O Let's think step by step. - The black group containing r3c3: r3c3. - Its empty neighbors: r2c3 r3c2 r3c4. - Blocked by: r4c3. - check: empty neighbors per stone:...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 3 4 1 2 . 1 2 3 2 3 4 1 1 2 3 4 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r2 contains 1 + 2 + 3 = 6. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 6 = 4. - check: col...
Question: A Sudoku column reads: 8 2 ? 6 4 7 3 9 1. What digit goes in the ? cell? Let's think step by step. - The column must contain each of 1-9 exactly once. - Present digits: 1 2 3 4 6 7 8 9, which sum to 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 = 40. - 1 through 9 sum to 45, so the missing digit is 45 - 40 = 5. - check: the ...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 1 3 4 . 4 2 1 3 2 1 3 . 3 4 2 1 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c4: row has [1, 3, 4], column has [1, 3] -> only 2 fits. - Cell r3c4: row has [1, 2, 3], colum...
Question: What is 78 + 67? Let's think step by step. - 8 + 7 = 15 -> write 5, carry 1 - 7 + 6 + 1 = 14 -> write 4, carry 1 - carry 1 -> write 1 - written: 5 4 1 -> answer 145 Answer: 145
Question: On this Go board (X=black, O=white), is the black group containing r3c4 in atari? . . . . . . . . . . . . . X X O . . . . . . . . . Let's think step by step. - The black group containing r3c4: r3c4, r3c5. - Its liberties: r2c4 r2c5 r3c3 r4c4 r4c5 (5 total). - Atari means exactly 1 liberty. - check: 5 != 1, so...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 1 3 4 2 3 4 2 1 2 1 . 4 4 2 1 3 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r3 contains 1 + 2 + 4 = 7. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 7 = 3. - check: col...
Question: What is 96 + 14? Let's think step by step. - 6 + 4 = 10 -> write 0, carry 1 - 9 + 1 + 1 = 11 -> write 1, carry 1 - carry 1 -> write 1 - written: 0 1 1 -> answer 110 Answer: 110
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c4 have? O . X . X . . . . . . . . X . . . . . . . . O O . Let's think step by step. - The black group containing r3c4: r3c4. - Its empty neighbors: r2c4 r3c3 r3c5 r4c4. - check: empty neighbors per stone: 4 = 4. - no ne...
Question: On this Go board (X=black, O=white), is the black group containing r5c4 in atari? . . . O . . O . X . . . . . . . . O . . . . . X . Let's think step by step. - The black group containing r5c4: r5c4. - Its liberties: r4c4 r5c3 r5c5 (3 total). - Atari means exactly 1 liberty. - check: 3 != 1, so the group is no...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 2 3 . 4 1 . 2 3 4 2 3 1 3 1 4 2 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c3: row has [2, 3, 4], column has [2, 3, 4] -> only 1 fits. - Cell r2c2: row has [1, 2, 3], co...
Question: A Sudoku column reads: 3 4 9 ? 1 7 5 6 2. What digit goes in the ? cell? Let's think step by step. - The column must contain each of 1-9 exactly once. - Present digits: 1 2 3 4 5 6 7 9, which sum to 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 = 37. - 1 through 9 sum to 45, so the missing digit is 45 - 37 = 8. - check: the ...
Question: On this Go board (X=black, O=white), is the black group containing r4c1 in atari? . X O O . . . . . X O . . X . X . . . . X . . . . Let's think step by step. - The black group containing r4c1: r4c1, r5c1. - Its liberties: r4c2 r5c2 (2 total). - Atari means exactly 1 liberty. - check: 2 != 1, so the group is n...
Question: On this Go board (X=black, O=white), is the black group containing r2c3 in atari? . . . . . . . X . X . . O X . . . . . . O O . X X Let's think step by step. - The black group containing r2c3: r2c3. - Its liberties: r1c3 r2c2 r2c4 (3 total). - Atari means exactly 1 liberty. - check: 3 != 1, so the group is no...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): . 2 4 1 2 4 1 3 1 3 . 4 4 1 3 2 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c1: row has [1, 2, 4], column has [1, 2, 4] -> only 3 fits. - Cell r3c3: row has [1, 3, 4], co...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 4 1 2 3 . 3 4 1 3 4 1 2 . 2 3 4 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r2c1: row has [1, 3, 4], column has [3, 4] -> only 2 fits. - Cell r4c1: row has [2, 3, 4], colum...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r5c5 have? . X . O X . O . X . . . . . . . . . . . O . X . X Let's think step by step. - The black group containing r5c5: r5c5. - Its empty neighbors: r4c5 r5c4. - check: empty neighbors per stone: 2 = 2. - no neighbor is ...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c4 have? . . . . . . . . . O . O O . . X . . X . . . . . . Let's think step by step. - The black group containing r4c4: r4c4. - Its empty neighbors: r3c4 r4c3 r4c5 r5c4. - check: empty neighbors per stone: 4 = 4. - no ne...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c5 have? . O . . . O . . . X O O . X . . . . . . . . . . . Let's think step by step. - The black group containing r2c5: r2c5. - Its empty neighbors: r1c5 r2c4 r3c5. - check: empty neighbors per stone: 3 = 3. - no neighbo...
Question: What is 16 + 12? Let's think step by step. - 6 + 2 = 8 -> write 8 - 1 + 1 = 2 -> write 2 - written: 8 2 -> answer 28 Answer: 28
Question: What is 7 + 6? Let's think step by step. - 7 + 6 = 13 -> write 3, carry 1 - carry 1 -> write 1 - written: 3 1 -> answer 13 Answer: 13
Question: What is 10 + 10? Let's think step by step. - 0 + 0 = 0 -> write 0 - 1 + 1 = 2 -> write 2 - written: 0 2 -> answer 20 Answer: 20
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 3 4 1 2 2 3 4 1 . 1 2 3 1 2 3 4 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r3 contains 1 + 2 + 3 = 6. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 6 = 4. - check: col...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c3 have? . . . O . O . X . . . . O . . . . X . . . . . . . Let's think step by step. - The black group containing r4c3: r4c3. - Its empty neighbors: r4c2 r4c4 r5c3. - Blocked by: r3c3. - check: empty neighbors per stone:...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 3 1 2 4 1 2 4 . 4 3 1 2 2 4 3 1 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r2 contains 1 + 2 + 4 = 7. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 7 = 3. - check: col...
Question: A Sudoku row reads: 8 7 1 ? 5 3 9 6 2. What digit goes in the ? cell? Let's think step by step. - The row must contain each of 1-9 exactly once. - Present digits: 1 2 3 5 6 7 8 9, which sum to 1 + 2 + 3 + 5 + 6 + 7 + 8 + 9 = 41. - 1 through 9 sum to 45, so the missing digit is 45 - 41 = 4. - check: the full r...
Question: A Sudoku column reads: 4 5 1 8 9 ? 3 6 2. What digit goes in the ? cell? Let's think step by step. - The column must contain each of 1-9 exactly once. - Present digits: 1 2 3 4 5 6 8 9, which sum to 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 = 38. - 1 through 9 sum to 45, so the missing digit is 45 - 38 = 7. - check: the ...
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r3c2? Answer with the cell. O . . O . . . O . . X O X X . X X . . . . . O . . Let's think step by step. - The white group containing r3c2: r3c2. - Its only liberty: r2c2. - Black plays at r2c2 -> the group has no l...
Question: On this Go board (X=black, O=white), is the black group containing r4c1 in atari? O . . . O X . . . . . . X . . X . X . . X . . . . Let's think step by step. - The black group containing r4c1: r4c1, r5c1. - Its liberties: r3c1 r4c2 r5c2 (3 total). - Atari means exactly 1 liberty. - check: 3 != 1, so the group...
Question: What is 34 + 41? Let's think step by step. - 4 + 1 = 5 -> write 5 - 3 + 4 = 7 -> write 7 - written: 5 7 -> answer 75 Answer: 75
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 3 4 1 2 2 3 4 1 1 2 3 . 4 1 2 3 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r3 contains 1 + 2 + 3 = 6. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 6 = 4. - check: col...
Question: On this Go board (X=black, O=white), is the black group containing r3c1 in atari? . O . . . . . . . . X . . . X O . . . . . . . O X Let's think step by step. - The black group containing r3c1: r3c1. - Its liberties: r2c1 r3c2 (2 total). - Atari means exactly 1 liberty. - check: 2 != 1, so the group is not in ...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c5 have? . . . . X O . . . . . . . X . . . . . X . . . . . Let's think step by step. - The black group containing r1c5: r1c5. - Its empty neighbors: r1c4 r2c5. - check: empty neighbors per stone: 2 = 2. - no neighbor is ...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c3 have? . . X . . . . . . X . X . . . O . X . . . O X . . Let's think step by step. - The black group containing r4c3: r4c3, r5c3. - Its empty neighbors: r3c3 r4c2 r4c4 r5c4. - Blocked by: r5c2. - check: empty neighbors...
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c1 have? X X . . . . . . . X . O . . O . . . . . . X . . . Let's think step by step. - The black group containing r1c1: r1c1, r1c2. - Its empty neighbors: r1c3 r2c1 r2c2. - check: empty neighbors per stone: 1 + 2 = 3. - ...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 3 . 1 2 4 . 2 3 1 2 3 4 2 3 . 1 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c2: row has [1, 2, 3], column has [2, 3] -> only 4 fits. - Cell r2c2: row has [2, 3, 4], colum...
Question: A Sudoku 3x3 box reads: 5 1 2 3 9 6 7 8 ?. What digit goes in the ? cell? Let's think step by step. - The 3x3 box must contain each of 1-9 exactly once. - Present digits: 1 2 3 5 6 7 8 9, which sum to 1 + 2 + 3 + 5 + 6 + 7 + 8 + 9 = 41. - 1 through 9 sum to 45, so the missing digit is 45 - 41 = 4. - check: th...
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 1 2 3 4 3 4 . 2 4 1 2 3 2 3 4 1 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Row r2 contains 2 + 3 + 4 = 9. - 1 + 2 + 3 + 4 = 10, so the missing digit is 10 - 9 = 1. - check: col...
Question: What is 1090 + 3744? Let's think step by step. - 0 + 4 = 4 -> write 4 - 9 + 4 = 13 -> write 3, carry 1 - 0 + 7 + 1 = 8 -> write 8 - 1 + 3 = 4 -> write 4 - written: 4 3 8 4 -> answer 4834 Answer: 4834
Question: A Sudoku row reads: 4 9 6 8 1 5 3 7 ?. What digit goes in the ? cell? Let's think step by step. - The row must contain each of 1-9 exactly once. - Present digits: 1 3 4 5 6 7 8 9, which sum to 1 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 43. - 1 through 9 sum to 45, so the missing digit is 45 - 43 = 2. - check: the full r...
Question: On this Go board (X=black, O=white), is the black group containing r3c1 in atari? . X . X . . . . O . X O . . O O . . . . . . X . . Let's think step by step. - The black group containing r3c1: r3c1. - Its liberties: r2c1 (1 total). - Atari means exactly 1 liberty. - check: 1 == 1, so the group is in atari. An...
Question: What is 10 + 93? Let's think step by step. - 0 + 3 = 3 -> write 3 - 1 + 9 = 10 -> write 0, carry 1 - carry 1 -> write 1 - written: 3 0 1 -> answer 103 Answer: 103
Question: What is 51 + 32? Let's think step by step. - 1 + 2 = 3 -> write 3 - 5 + 3 = 8 -> write 8 - written: 3 8 -> answer 83 Answer: 83
Question: Fill the missing cells in this 4x4 Sudoku (rows and columns each contain 1-4 once): 2 1 . 4 3 4 2 1 1 . 4 2 4 2 1 3 Let's think step by step. - Each row and each column must contain 1, 2, 3, 4 exactly once. - Cell r1c3: row has [1, 2, 4], column has [1, 2, 4] -> only 3 fits. - Cell r3c2: row has [1, 2, 4], co...
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lemonseed-games-r2

LemonSeed — games round 2 (Go/Sudoku atari + constraint reasoning).

Contents

  • games_r2.jsonl (12000 rows)

Format

JSON Lines (.jsonl), one example per line.

Provenance

Synthetic, generated programmatically for the LemonSeed 1.5B project (by Geramy L. Loveless). Data authored by Michael Anthony Falabella.

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