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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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