text stringlengths 116 460 |
|---|
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c3 have?
. . X . .
. . . . .
. . O X .
. . X . .
. O X . X
Let's think step by step.
- The black group containing r4c3: r4c3, r5c3.
- Its empty neighbors: r4c2 r4c4 r5c4.
- Blocked by: r3c3 r5c2.
- check: the group touch... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c3 have?
X . O . .
. . . . .
. . . X .
. . X . .
. . . . .
Let's think step by step.
- The black group containing r4c3: r4c3.
- Its empty neighbors: r3c3 r4c2 r4c4 r5c3.
- check: the group touches 4 distinct cells: 4 emp... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c3 have?
. . X X .
O . . . .
. O . . O
. . . . .
X . . . X
Let's think step by step.
- The black group containing r1c3: r1c3, r1c4.
- Its empty neighbors: r1c2 r1c5 r2c3 r2c4.
- check: the group touches 6 distinct cells:... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c5? Answer with the cell.
. . . X O
O . X O .
. . O . .
. . O . .
. . . X X
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), how many liberties does the black group containing r4c5 have?
. . O . .
X X . . X
. O . O X
. . . . X
. . . . .
Let's think step by step.
- The black group containing r4c5: r2c5, r3c5, r4c5.
- Its empty neighbors: r1c5 r2c4 r4c4 r5c5.
- Blocked by: r3c4.
- check: the group... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c5 have?
. . . . .
. . . . .
. . X . X
X . . . X
. . . . O
Let's think step by step.
- The black group containing r3c5: r3c5, r4c5.
- Its empty neighbors: r2c5 r3c4 r4c4.
- Blocked by: r5c5.
- check: the group touches 6 ... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c1? Answer with the cell.
. . . . .
X . . . O
. . . . .
X X . . .
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: Each item costs $58. You buy 2 and pay $120. How much change?
Let's think step by step.
- Total cost = 58 * 2 = $116.
- Change = 120 - 116 = $4.
Answer: $4 |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c3 have?
. X . . .
. . . . .
. . X . O
O X . . .
O O . . .
Let's think step by step.
- The black group containing r3c3: r3c3.
- Its empty neighbors: r2c3 r3c2 r3c4 r4c3.
- check: the group touches 4 distinct cells: 4 emp... |
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), how many liberties does the black group containing r4c4 have?
X . . . O
. . . . .
. X X . .
. . . X .
X . . . .
Let's think step by step.
- The black group containing r4c4: r4c4.
- Its empty neighbors: r3c4 r4c3 r4c5 r5c4.
- check: the group touches 4 distinct cells: 4 emp... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c3 have?
. . . . .
. . X . .
. O . . .
. . . O O
. . O . X
Let's think step by step.
- The black group containing r2c3: r2c3.
- Its empty neighbors: r1c3 r2c2 r2c4 r3c3.
- check: the group touches 4 distinct cells: 4 emp... |
Question: On this Go board (X=black, O=white), is the black group containing r4c5 in atari?
. . . O .
. . X . .
. . . . .
O . . . X
O . . . .
Let's think step by step.
- The black group containing r4c5: r4c5.
- Its liberties: r3c5 r4c4 r5c5 (3 total).
- Atari means exactly 1 liberty.
- check: 3 != 1, so the group is no... |
Question: On this Go board (X=black, O=white), is the black group containing r1c1 in atari?
X . . . .
. . . . .
. . . O .
O . . O .
. . . X O
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: On this Go board (X=black, O=white), is the black group containing r5c5 in atari?
O . . X .
. X . . .
O . . . O
X . O . X
. . . . X
Let's think step by step.
- The black group containing r5c5: r4c5, r5c5.
- Its liberties: r4c4 r5c4 (2 total).
- Atari means exactly 1 liberty.
- check: 2 != 1, so the group is n... |
Question: What is the average of 72, 61, 48, 71, 55?
Let's think step by step.
- Sum: 72 + 61 + 48 + 71 + 55 = 307.
- Count = 5.
- Average = 307 / 5 = 61.4.
Answer: 61.4 |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c3? Answer with the cell.
. . . O .
. . O . .
. X . . .
. O . O .
. X O X .
Let's think step by step.
- The white group containing r5c3: r5c3.
- Its only liberty: r4c3.
- Black plays at r4c3 -> the group has no l... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c2 have?
. X . . .
. . . . .
. . . . .
. . . X .
. . . . O
Let's think step by step.
- The black group containing r1c2: r1c2.
- Its empty neighbors: r1c1 r1c3 r2c2.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: On this Go board (X=black, O=white), is the black group containing r4c2 in atari?
. X . X .
. . . X .
. . . . .
X X O O .
. . . . .
Let's think step by step.
- The black group containing r4c2: r4c1, r4c2.
- Its liberties: r3c1 r3c2 r5c1 r5c2 (4 total).
- Atari means exactly 1 liberty.
- check: 4 != 1, so the ... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c5 have?
. . X . X
. . . . .
. . . O .
O X X . .
. . . . .
Let's think step by step.
- The black group containing r1c5: r1c5.
- Its empty neighbors: r1c4 r2c5.
- check: the group touches 2 distinct cells: 2 empty, 0 whit... |
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 r5c5 (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 r5c5 have?
. . . . .
X O . . O
. . X . .
. . . . .
O . . . X
Let's think step by step.
- The black group containing r5c5: r5c5.
- Its empty neighbors: r4c5 r5c4.
- check: the group touches 2 distinct cells: 2 empty, 0 whit... |
Question: On this Go board (X=black, O=white), is the black group containing r4c3 in atari?
. . . . .
. O X . .
. . O . .
. . X O .
. . . . .
Let's think step by step.
- The black group containing r4c3: r4c3.
- Its liberties: r4c2 r5c3 (2 total).
- Atari means exactly 1 liberty.
- check: 2 != 1, so the group is not in ... |
Question: What is 2/10 + 2/6?
Let's think step by step.
- Common denominator is 10 * 6 = 60.
- Rewrite: (2*6)/60 + (2*10)/60.
- Add numerators: 12 + 20 = 32, giving 32/60.
- Simplify by dividing top and bottom by 4: 32/60 = 8/15.
Answer: 8/15 |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c2 have?
. O . . .
. X X O X
X . . O .
. X . . .
. . . . .
Let's think step by step.
- The black group containing r4c2: r4c2.
- Its empty neighbors: r3c2 r4c1 r4c3 r5c2.
- check: the group touches 4 distinct cells: 4 emp... |
Question: On this Go board (X=black, O=white), is the black group containing r4c2 in atari?
. . . . X
. O . . .
. X . . O
. X . . .
. . . . .
Let's think step by step.
- The black group containing r4c2: r3c2, r4c2.
- Its liberties: r3c1 r3c3 r4c1 r4c3 r5c2 (5 total).
- Atari means exactly 1 liberty.
- check: 5 != 1, so... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c5 have?
X X . . .
X O . . X
. . . . .
X . . . .
. . . . .
Let's think step by step.
- The black group containing r2c5: r2c5.
- Its empty neighbors: r1c5 r2c4 r3c5.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c2? Answer with the cell.
O O X . .
X . . O .
. . . . .
. . . . X
. . . . .
Let's think step by step.
- The white group containing r1c2: r1c1, r1c2.
- Its only liberty: r2c2.
- Black plays at r2c2 -> the group ha... |
Question: On this Go board (X=black, O=white), is the black group containing r2c5 in atari?
. . . . .
. . . . X
. . . X .
X . X X .
. . O . .
Let's think step by step.
- The black group containing r2c5: r2c5.
- Its liberties: r1c5 r2c4 r3c5 (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 r3c5 have?
. . . . .
O . . . .
. O . X X
. . . . .
. . . X .
Let's think step by step.
- The black group containing r3c5: r3c4, r3c5.
- Its empty neighbors: r2c4 r2c5 r3c3 r4c4 r4c5.
- check: the group touches 7 distinct c... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c4 have?
O X . . O
X . . . X
. . . X .
. . . . .
. . . . .
Let's think step by step.
- The black group containing r3c4: r3c4.
- Its empty neighbors: r2c4 r3c3 r3c5 r4c4.
- check: the group touches 4 distinct cells: 4 emp... |
Question: What is 17% of 2500?
Let's think step by step.
- Convert 17% to 17/100.
- Multiply: 2500 * 17/100 = 425.
Answer: 425 |
Question: On this Go board (X=black, O=white), is the black group containing r2c5 in atari?
. . . . .
. X . . X
. . . O .
. . . . .
X . . X X
Let's think step by step.
- The black group containing r2c5: r2c5.
- Its liberties: r1c5 r2c4 r3c5 (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 r1c3 have?
. . X . O
O . . . O
. . . . X
. . . . .
. X . . O
Let's think step by step.
- The black group containing r1c3: r1c3.
- Its empty neighbors: r1c2 r1c4 r2c3.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c3 have?
. . X X .
. . . . .
. . X O .
. X . . .
. O . . .
Let's think step by step.
- The black group containing r3c3: r3c3.
- Its empty neighbors: r2c3 r3c2 r4c3.
- Blocked by: r3c4.
- check: the group touches 4 distin... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c4 have?
. O . . .
. . X . .
. . . . X
. . . X X
X O . . .
Let's think step by step.
- The black group containing r4c4: r3c5, r4c4, r4c5.
- Its empty neighbors: r2c5 r3c4 r4c3 r5c4 r5c5.
- check: the group touches 8 dist... |
Question: On this Go board (X=black, O=white), is the black group containing r5c2 in atari?
. . . . O
. . . . X
. . X . .
. . . X .
X X . . .
Let's think step by step.
- The black group containing r5c2: r5c1, r5c2.
- Its liberties: r4c1 r4c2 r5c3 (3 total).
- Atari means exactly 1 liberty.
- check: 3 != 1, so the group... |
Question: On this Go board (X=black, O=white), is the black group containing r2c2 in atari?
. . . . .
. X X . .
. O . . .
X . O . .
. . . . .
Let's think step by step.
- The black group containing r2c2: r2c2, r2c3.
- Its liberties: r1c2 r1c3 r2c1 r2c4 r3c3 (5 total).
- Atari means exactly 1 liberty.
- check: 5 != 1, so... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c3 have?
O . X . .
O . . . .
. O . . .
. . . X .
. . X . .
Let's think step by step.
- The black group containing r1c3: r1c3.
- Its empty neighbors: r1c2 r1c4 r2c3.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: What comes next: 10, 13, 16, 19, 22, 25?
Let's think step by step.
- Find the difference: 13 - 10 = 3.
- The sequence increases by 3 each time.
- Next = 25 + 3 = 28.
Answer: 28 |
Question: On this Go board (X=black, O=white), is the black group containing r4c2 in atari?
. . X . .
. . . . X
. . O . .
X X O O .
O . . . .
Let's think step by step.
- The black group containing r4c2: r4c1, r4c2.
- Its liberties: r3c1 r3c2 r5c2 (3 total).
- Atari means exactly 1 liberty.
- check: 3 != 1, so the group... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c5 have?
. X . X X
. . . O .
O . . . .
X X . . .
. . . . .
Let's think step by step.
- The black group containing r1c5: r1c4, r1c5.
- Its empty neighbors: r1c3 r2c5.
- Blocked by: r2c4.
- check: the group touches 5 disti... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c3 have?
. . . O .
. . X . .
. . O . .
. . . . .
. . X . .
Let's think step by step.
- The black group containing r2c3: r2c3.
- Its empty neighbors: r1c3 r2c2 r2c4.
- Blocked by: r3c3.
- check: the group touches 4 distin... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c5 have?
X X . . .
O . . . .
. . X O O
. X . . X
. O . . .
Let's think step by step.
- The black group containing r4c5: r4c5.
- Its empty neighbors: r4c4 r5c5.
- Blocked by: r3c5.
- check: the group touches 3 distinct ce... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c2 have?
. . . . .
X . . . .
. . . . .
O X . . .
X . . . .
Let's think step by step.
- The black group containing r4c2: r4c2.
- Its empty neighbors: r3c2 r4c3 r5c2.
- Blocked by: r4c1.
- check: the group touches 4 distin... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c5? Answer with the cell.
. . O O .
. . . . .
. O . . X
O . . . X
. . X . O
Let's think step by step.
- The white group containing r5c5: r5c5.
- Its only liberty: r5c4.
- Black plays at r5c4 -> the group has no l... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c2 have?
O X . . .
O . . X X
. . . . .
. O . O .
. X . . .
Let's think step by step.
- The black group containing r1c2: r1c2.
- Its empty neighbors: r1c3 r2c2.
- Blocked by: r1c1.
- check: the group touches 3 distinct ce... |
Question: What is 3 + 12 * 7?
Let's think step by step.
- Multiplication comes before addition.
- 12 * 7 = 84.
- Then add: 3 + 84 = 87.
Answer: 87 |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c4 have?
. . X . O
. . . . .
. X . X .
. . . . .
. . . . .
Let's think step by step.
- The black group containing r3c4: r3c4.
- Its empty neighbors: r2c4 r3c3 r3c5 r4c4.
- check: the group touches 4 distinct cells: 4 emp... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c1 have?
X O . . .
. . . . .
. . O . .
O . . . .
X . . . .
Let's think step by step.
- The black group containing r1c1: r1c1.
- Its empty neighbors: r2c1.
- Blocked by: r1c2.
- check: the group touches 2 distinct cells: ... |
Question: On this Go board (X=black, O=white), is the black group containing r4c5 in atari?
. . . . X
O . . . .
. . O O .
. . X . X
. O . . .
Let's think step by step.
- The black group containing r4c5: r4c5.
- Its liberties: r3c5 r4c4 r5c5 (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 r2c3 have?
. . . . .
. . X . .
. . X . .
. O . . .
. . . O .
Let's think step by step.
- The black group containing r2c3: r2c3, r3c3.
- Its empty neighbors: r1c3 r2c2 r2c4 r3c2 r3c4 r4c3.
- check: the group touches 8 disti... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c1 have?
. . . . .
. . . . X
X . . X O
. . . . .
. X . . X
Let's think step by step.
- The black group containing r3c1: r3c1.
- Its empty neighbors: r2c1 r3c2 r4c1.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r2c5? Answer with the cell.
. . X . .
. . . X O
. . . . X
O . X . .
. . . X .
Let's think step by step.
- The white group containing r2c5: r2c5.
- Its only liberty: r1c5.
- Black plays at r1c5 -> the group has no l... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c1 have?
. O . X .
. . . . .
X . . O O
. . . . .
. . . X .
Let's think step by step.
- The black group containing r3c1: r3c1.
- Its empty neighbors: r2c1 r3c2 r4c1.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: A car travels 163 miles in 3 hours. What is its speed?
Let's think step by step.
- Speed = distance / time.
- Speed = 163 / 3 = 54.3333 mph.
Answer: 54.3333 mph |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r5c1 have?
. . . . .
O . . . .
. . . . .
. . O . .
X . X . O
Let's think step by step.
- The black group containing r5c1: r5c1.
- Its empty neighbors: r4c1 r5c2.
- check: the group touches 2 distinct cells: 2 empty, 0 whit... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c1 have?
. X . . .
X . . . X
. . X O .
O . . . O
. . . . .
Let's think step by step.
- The black group containing r2c1: r2c1.
- Its empty neighbors: r1c1 r2c2 r3c1.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: On this Go board (X=black, O=white), is the black group containing r1c1 in atari?
X . . . .
O . . . .
X O . . .
X X . . O
X . . . .
Let's think step by step.
- The black group containing r1c1: r1c1.
- Its liberties: r1c2 (1 total).
- Atari means exactly 1 liberty.
- check: 1 == 1, so the group is in atari.
An... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c4? Answer with the cell.
. . X O X
. . . . .
. . . . .
O . . . .
. X . . X
Let's think step by step.
- The white group containing r1c4: r1c4.
- Its only liberty: r2c4.
- Black plays at r2c4 -> the group has no l... |
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 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), how many liberties does the black group containing r2c1 have?
. . . . .
X . O X O
. . . O .
. . . . .
O . X X .
Let's think step by step.
- The black group containing r2c1: r2c1.
- Its empty neighbors: r1c1 r2c2 r3c1.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r5c2 have?
. . . . .
. . . . O
. . . X .
. . . . .
X X X . .
Let's think step by step.
- The black group containing r5c2: r5c1, r5c2, r5c3.
- Its empty neighbors: r4c1 r4c2 r4c3 r5c4.
- check: the group touches 7 distinct ... |
Question: Each item costs $45. You buy 5 and pay $230. How much change?
Let's think step by step.
- Total cost = 45 * 5 = $225.
- Change = 230 - 225 = $5.
Answer: $5 |
Question: On this Go board (X=black, O=white), is the black group containing r3c5 in atari?
O . . . .
. . . . .
. O O . X
. X . . .
. . . . O
Let's think step by step.
- The black group containing r3c5: r3c5.
- Its liberties: r2c5 r3c4 r4c5 (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 r5c4 have?
. . . X O
. . O . O
. X . . .
. . . . .
. O X X .
Let's think step by step.
- The black group containing r5c4: r5c3, r5c4.
- Its empty neighbors: r4c3 r4c4 r5c5.
- Blocked by: r5c2.
- check: the group touches 6 ... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c1? Answer with the cell.
O . . . .
X X . . .
. . O . .
. X . . .
. X . . .
Let's think step by step.
- The white group containing r1c1: r1c1.
- Its only liberty: r1c2.
- Black plays at r1c2 -> the group has no l... |
Question: On this Go board (X=black, O=white), is the black group containing r2c5 in atari?
. . . . .
. . X . X
. . . . .
. . . . .
O . O . .
Let's think step by step.
- The black group containing r2c5: r2c5.
- Its liberties: r1c5 r2c4 r3c5 (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 r3c2 have?
. . . . .
. . . . X
. X . . O
. . O O X
. . . . .
Let's think step by step.
- The black group containing r3c2: r3c2.
- Its empty neighbors: r2c2 r3c1 r3c3 r4c2.
- check: the group touches 4 distinct cells: 4 emp... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r3c2 have?
. X . . .
X . . . .
X X . O .
. . . . .
. . . . .
Let's think step by step.
- The black group containing r3c2: r2c1, r3c1, r3c2.
- Its empty neighbors: r1c1 r2c2 r3c3 r4c1 r4c2.
- check: the group touches 8 dist... |
Question: On this Go board (X=black, O=white), is the black group containing r2c4 in atari?
. X . . .
. . . X .
O . O . .
. . . . .
. O . . .
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: What comes next: 8, 13, 18, 23, 28, 33, 38, 43?
Let's think step by step.
- Find the difference: 13 - 8 = 5.
- The sequence increases by 5 each time.
- Next = 43 + 5 = 48.
Answer: 48 |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c4? Answer with the cell.
. . X . .
. . . . .
O . . . .
O X X . .
O X O O X
Let's think step by step.
- The white group containing r5c4: r5c3, r5c4.
- Its only liberty: r4c4.
- Black plays at r4c4 -> the group ha... |
Question: On this Go board (X=black, O=white), is the black group containing r3c2 in atari?
O . . . .
. O O . X
. X . . .
. . . . .
O . . . .
Let's think step by step.
- The black group containing r3c2: r3c2.
- Its liberties: r3c1 r3c3 r4c2 (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 r5c5? Answer with the cell.
. . . X O
. . . . .
. . . . .
. X . . X
. O . . O
Let's think step by step.
- The white group containing r5c5: r5c5.
- Its only liberty: r5c4.
- Black plays at r5c4 -> the group has no l... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c2 have?
. . . . .
. O . X .
. . X . .
. X O O .
. . . . .
Let's think step by step.
- The black group containing r4c2: r4c2.
- Its empty neighbors: r3c2 r4c1 r5c2.
- Blocked by: r4c3.
- check: the group touches 4 distin... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c3 have?
. . . . O
. . X O X
. . . . .
. . . O .
O . . . .
Let's think step by step.
- The black group containing r2c3: r2c3.
- Its empty neighbors: r1c3 r2c2 r3c3.
- Blocked by: r2c4.
- check: the group touches 4 distin... |
Question: On this Go board (X=black, O=white), is the black group containing r4c5 in atari?
. O . . O
X X . . .
. . X . X
. . . O X
. . . . .
Let's think step by step.
- The black group containing r4c5: r3c5, r4c5.
- Its liberties: r2c5 r3c4 r5c5 (3 total).
- Atari means exactly 1 liberty.
- check: 3 != 1, so the group... |
Question: On this Go board (X=black, O=white), is the black group containing r2c4 in atari?
X . . . .
. . O X .
X . . . .
O X . . .
. . . . .
Let's think step by step.
- The black group containing r2c4: r2c4.
- Its liberties: r1c4 r2c5 r3c4 (3 total).
- Atari means exactly 1 liberty.
- check: 3 != 1, so the group is no... |
Question: What is the average of 80, 11, 21?
Let's think step by step.
- Sum: 80 + 11 + 21 = 112.
- Count = 3.
- Average = 112 / 3 = 37.3333.
Answer: 37.3333 |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c4 have?
. . . . .
. . X . .
. X . . .
. . . X .
. . O . .
Let's think step by step.
- The black group containing r4c4: r4c4.
- Its empty neighbors: r3c4 r4c3 r4c5 r5c4.
- check: the group touches 4 distinct cells: 4 emp... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c1? Answer with the cell.
. . . . .
X O O O .
. X . X .
. . . X .
O X . . .
Let's think step by step.
- The white group containing r5c1: r5c1.
- Its only liberty: r4c1.
- Black plays at r4c1 -> the group has no l... |
Question: On this Go board (X=black, O=white), is the black group containing r5c4 in atari?
X . X O .
. . . . X
. . . . .
. . X . .
O . O X .
Let's think step by step.
- The black group containing r5c4: r5c4.
- Its liberties: r4c4 r5c5 (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), is the black group containing r4c4 in atari?
. . . O O
. X . . .
. . O . .
X X . X X
. . . . .
Let's think step by step.
- The black group containing r4c4: r4c4, r4c5.
- Its liberties: r3c4 r3c5 r4c3 r5c4 r5c5 (5 total).
- Atari means exactly 1 liberty.
- check: 5 != 1, so... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r5c4 have?
. X . . .
X . . O O
. . . O O
. . . . .
. . . X X
Let's think step by step.
- The black group containing r5c4: r5c4, r5c5.
- Its empty neighbors: r4c4 r4c5 r5c3.
- check: the group touches 5 distinct cells: 3 em... |
Question: On this Go board (X=black, O=white), is the black group containing r4c4 in atari?
. O . . .
X . . . .
. . . . O
. . . X X
. . O . .
Let's think step by step.
- The black group containing r4c4: r4c4, r4c5.
- Its liberties: r3c4 r4c3 r5c4 r5c5 (4 total).
- Atari means exactly 1 liberty.
- check: 4 != 1, so the ... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c3 have?
X . . . .
. . . . O
. O . . .
. . X . O
. . O . .
Let's think step by step.
- The black group containing r4c3: r4c3.
- Its empty neighbors: r3c3 r4c2 r4c4.
- Blocked by: r5c3.
- check: the group touches 4 distin... |
Question: Each item costs $90. You buy 2 and pay $190. How much change?
Let's think step by step.
- Total cost = 90 * 2 = $180.
- Change = 190 - 180 = $10.
Answer: $10 |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r5c1? Answer with the cell.
O . . O .
. X . X .
. . O . .
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: On this Go board (X=black, O=white), how many liberties does the black group containing r5c2 have?
. . . . .
. . . . X
. . O . .
. . . O .
. X . . .
Let's think step by step.
- The black group containing r5c2: r5c2.
- Its empty neighbors: r4c2 r5c1 r5c3.
- check: the group touches 3 distinct cells: 3 empty, 0... |
Question: On this Go board (X=black, O=white), what single black move captures the white group containing r1c1? Answer with the cell.
O . . . O
X . . . .
. . X . .
X . O . .
. . . . .
Let's think step by step.
- The white group containing r1c1: r1c1.
- Its only liberty: r1c2.
- Black plays at r1c2 -> the group has no l... |
Question: On this Go board (X=black, O=white), is the black group containing r2c4 in atari?
. . . . .
X . . X O
. . . . .
. . . O .
X . . . .
Let's think step by step.
- The black group containing r2c4: r2c4.
- Its liberties: r1c4 r2c3 r3c4 (3 total).
- Atari means exactly 1 liberty.
- check: 3 != 1, so the group is no... |
Question: On this Go board (X=black, O=white), is the black group containing r5c5 in atari?
. . . . .
. . . . .
. . X . .
. . . . .
. . O O X
Let's think step by step.
- The black group containing r5c5: r5c5.
- Its liberties: r4c5 (1 total).
- Atari means exactly 1 liberty.
- check: 1 == 1, so the group is in atari.
An... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r1c1 have?
X . O . O
. . . . .
. . . . O
. . . X .
. O . . .
Let's think step by step.
- The black group containing r1c1: r1c1.
- Its empty neighbors: r1c2 r2c1.
- check: the group touches 2 distinct cells: 2 empty, 0 whit... |
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
. . . . X
. . X O X
. O . . O
Let's think step by step.
- The white group containing r5c5: r5c5.
- Its only liberty: r5c4.
- Black plays at r5c4 -> the group has no l... |
Question: What is 4/7 + 2/7?
Let's think step by step.
- Common denominator is 7 * 7 = 49.
- Rewrite: (4*7)/49 + (2*7)/49.
- Add numerators: 28 + 14 = 42, giving 42/49.
- Simplify by dividing top and bottom by 7: 42/49 = 6/7.
Answer: 6/7 |
Question: On this Go board (X=black, O=white), is the black group containing r5c3 in atari?
. . . . .
. . . . X
O . . O .
. . . . .
. . X . .
Let's think step by step.
- The black group containing r5c3: r5c3.
- Its liberties: r4c3 r5c2 r5c4 (3 total).
- Atari means exactly 1 liberty.
- check: 3 != 1, so the group is no... |
Question: On this Go board (X=black, O=white), is the black group containing r4c5 in atari?
. O . . X
O . X . .
. . O . X
O . X . X
. . . . .
Let's think step by step.
- The black group containing r4c5: r3c5, r4c5.
- Its liberties: r2c5 r3c4 r4c4 r5c5 (4 total).
- Atari means exactly 1 liberty.
- check: 4 != 1, so the ... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r2c3 have?
. . X . .
. O X X .
. . . . .
O . . . .
. . . O .
Let's think step by step.
- The black group containing r2c3: r1c3, r2c3, r2c4.
- Its empty neighbors: r1c2 r1c4 r2c5 r3c3 r3c4.
- Blocked by: r2c2.
- check: the ... |
Question: On this Go board (X=black, O=white), how many liberties does the black group containing r4c2 have?
. . . . .
. X . . .
. . . . .
. X . . .
. . X . O
Let's think step by step.
- The black group containing r4c2: r4c2.
- Its empty neighbors: r3c2 r4c1 r4c3 r5c2.
- check: the group touches 4 distinct cells: 4 emp... |
End of preview. Expand in Data Studio
lemonseed-go-mixed
LemonSeed — Go reasoning interleaved with arithmetic replay.
Contents
go_mixed.jsonl(5714 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.
- Downloads last month
- -