Split (1)

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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: (26)/60 + (210)/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: (47)/49 + (27)/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...

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