{"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 14,51 -> 1451\n 13,96 -> 1396\n 11,68 -> 1168\nApply to: 42,37\n### Reasoning:\n<|cot_start|>Examples:\n 14,51 -> 1451\n 13,96 -> 1396\n 11,68 -> 1168\nCheck both candidate forms:\n concat(14,51)=1451 rev_concat(14,51)=5114 target=1451 concat\n concat(13,96)=1396 rev_concat(13,96)=9613 target=1396 concat\n concat(11,68)=1168 rev_concat(11,68)=6811 target=1168 concat\nConclude operator: concat.\nApply to (42, 37): answer = 4237\nFinal: \\boxed{4237}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 63,68 -> 6368\n 19,22 -> 1922\n 68,90 -> 6890\nApply to: 28,58\n### Reasoning:\n<|cot_start|>Examples:\n 63,68 -> 6368\n 19,22 -> 1922\n 68,90 -> 6890\nCheck both candidate forms:\n concat(63,68)=6368 rev_concat(63,68)=6863 target=6368 concat\n concat(19,22)=1922 rev_concat(19,22)=2219 target=1922 concat\n concat(68,90)=6890 rev_concat(68,90)=9068 target=6890 concat\nConclude operator: concat.\nApply to (28, 58): answer = 2858\nFinal: \\boxed{2858}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 57,23 -> 5723\n 62,43 -> 6243\n 52,86 -> 5286\nApply to: 81,77\n### Reasoning:\n<|cot_start|>Examples:\n 57,23 -> 5723\n 62,43 -> 6243\n 52,86 -> 5286\nCheck both candidate forms:\n concat(57,23)=5723 rev_concat(57,23)=2357 target=5723 concat\n concat(62,43)=6243 rev_concat(62,43)=4362 target=6243 concat\n concat(52,86)=5286 rev_concat(52,86)=8652 target=5286 concat\nConclude operator: concat.\nApply to (81, 77): answer = 8177\nFinal: \\boxed{8177}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n IV = 4 -> 90 + 4 = 94\nFinal: \\boxed{94}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 76 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 76 litres = 76 * 1000 millilitres.\nCompute step by step:\n 7 * 10^1 * 1000 = 70000\n running total = 70000\n 6 * 10^0 * 1000 = 6000\n running total = 76000\nFinal: \\boxed{76000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 48 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 48 metres = 48 * 100 centimetres.\nCompute step by step:\n 4 * 10^1 * 100 = 4000\n running total = 4000\n 8 * 10^0 * 100 = 800\n running total = 4800\nFinal: \\boxed{4800}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n V = 5 -> 10 + 5 = 15\n I = 1 -> 15 + 1 = 16\n I = 1 -> 16 + 1 = 17\n I = 1 -> 17 + 1 = 18\nFinal: \\boxed{18}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 45,15 -> 1545\n 53,15 -> 1553\n 17,54 -> 5417\nApply to: 93,96\n### Reasoning:\n<|cot_start|>Examples:\n 45,15 -> 1545\n 53,15 -> 1553\n 17,54 -> 5417\nCheck both candidate forms:\n concat(45,15)=4515 rev_concat(45,15)=1545 target=1545 rev_concat\n concat(53,15)=5315 rev_concat(53,15)=1553 target=1553 rev_concat\n concat(17,54)=1754 rev_concat(17,54)=5417 target=5417 rev_concat\nConclude operator: rev_concat.\nApply to (93, 96): answer = 9693\nFinal: \\boxed{9693}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 20 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 20 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 0 * 10^0 * 981 = 0\n running total = 19620\nSo F = 19620 centiNewtons = 196.20 N.\nFinal: \\boxed{196.20}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10010111 -> 00101111\n 11010110 -> 10101101\n 11100101 -> 11001011\nApply to: 10010001\n### Reasoning:\n<|cot_start|>Given examples:\n 10010111 -> 00101111\n 11010110 -> 10101101\n 11100101 -> 11001011\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,1,1\n bit 1: 0,1,1 -> 0,0,1\n bit 2: 0,0,1 -> 1,1,0\n bit 3: 1,1,0 -> 0,0,0\n bit 4: 0,0,0 -> 1,1,1\n bit 5: 1,1,1 -> 1,1,0\n bit 6: 1,1,0 -> 1,0,1\n bit 7: 1,0,1 -> 1,1,1\nDeduce rule: rotate left 1.\nApply to 10010001:\n result = 00100011\nFinal: \\boxed{00100011}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 30,44 -> 1320\n 55,94 -> 5170\n 24,24 -> 576\nApply to: 58,51\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 30,44: '+' gives 74; target=1320 no\n 30,44: '-' gives 14; target=1320 no\n 30,44: '*' gives 1320; target=1320 MATCH\n 30,44: 'concat' gives 3044; target=1320 no\n 30,44: 'rev_concat' gives 4430; target=1320 no\n 30,44: 'max*min+sum' gives 1394; target=1320 no\n 30,44: 'digitsum2' gives 121; target=1320 no\n 55,94: '+' gives 149; target=5170 no\n 55,94: '-' gives 39; target=5170 no\n 55,94: '*' gives 5170; target=5170 MATCH\n 55,94: 'concat' gives 5594; target=5170 no\n 55,94: 'rev_concat' gives 9455; target=5170 no\n 55,94: 'max*min+sum' gives 5319; target=5170 no\n 55,94: 'digitsum2' gives 529; target=5170 no\n 24,24: '+' gives 48; target=576 no\n 24,24: '-' gives 0; target=576 no\n 24,24: '*' gives 576; target=576 MATCH\n 24,24: 'concat' gives 2424; target=576 no\n 24,24: 'rev_concat' gives 2424; target=576 no\n 24,24: 'max*min+sum' gives 624; target=576 no\n 24,24: 'digitsum2' gives 144; target=576 no\nThe only operator consistent with all examples is '*'.\nApply to (58, 51):\n result = 2958\nFinal: \\boxed{2958}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n cevvn itbj tsyiv pvt\n### Reasoning:\n<|cot_start|>Cipher text: cevvn itbj tsyiv pvt\nTry each candidate Wonderland word against each ciphertext word:\n cipher='cevvn' candidate='alice' length-match=True\n cipher='cevvn' candidate='rabbit' length-match=False\n cipher='cevvn' candidate='hatter' length-match=False\n cipher='cevvn' candidate='cheshire' length-match=False\n cipher='cevvn' candidate='queen' length-match=True <- assign\n cipher='cevvn' candidate='tea' length-match=False\n cipher='cevvn' candidate='cake' length-match=False\n cipher='cevvn' candidate='garden' length-match=False\n cipher='cevvn' candidate='mushroom' length-match=False\n cipher='cevvn' candidate='card' length-match=False\n cipher='cevvn' candidate='card' length-match=False\n cipher='cevvn' candidate='wonderland' length-match=False\n cipher='cevvn' candidate='white' length-match=True\n cipher='cevvn' candidate='down' length-match=False\n cipher='cevvn' candidate='smile' length-match=True\n cipher='cevvn' candidate='smiled' length-match=False\n cipher='cevvn' candidate='looking' length-match=False\n cipher='cevvn' candidate='glass' length-match=True\n cipher='cevvn' candidate='march' length-match=True\n cipher='cevvn' candidate='hare' length-match=False\n cipher='cevvn' candidate='dormouse' length-match=False\n cipher='itbj' candidate='alice' length-match=False\n cipher='itbj' candidate='rabbit' length-match=False\n cipher='itbj' candidate='hatter' length-match=False\n cipher='itbj' candidate='cheshire' length-match=False\n cipher='itbj' candidate='queen' length-match=False\n cipher='itbj' candidate='tea' length-match=False\n cipher='itbj' candidate='cake' length-match=True\n cipher='itbj' candidate='garden' length-match=False\n cipher='itbj' candidate='mushroom' length-match=False\n cipher='itbj' candidate='card' length-match=True <- assign\n cipher='itbj' candidate='card' length-match=True <- assign\n cipher='itbj' candidate='wonderland' length-match=False\n cipher='itbj' candidate='white' length-match=False\n cipher='itbj' candidate='down' length-match=True\n cipher='itbj' candidate='smile' length-match=False\n cipher='itbj' candidate='smiled' length-match=False\n cipher='itbj' candidate='looking' length-match=False\n cipher='itbj' candidate='glass' length-match=False\n cipher='itbj' candidate='march' length-match=False\n cipher='itbj' candidate='hare' length-match=True\n cipher='itbj' candidate='dormouse' length-match=False\n cipher='tsyiv' candidate='alice' length-match=True <- assign\n cipher='tsyiv' candidate='rabbit' length-match=False\n cipher='tsyiv' candidate='hatter' length-match=False\n cipher='tsyiv' candidate='cheshire' length-match=False\n cipher='tsyiv' candidate='queen' length-match=True\n cipher='tsyiv' candidate='tea' length-match=False\n cipher='tsyiv' candidate='cake' length-match=False\n cipher='tsyiv' candidate='garden' length-match=False\n cipher='tsyiv' candidate='mushroom' length-match=False\n cipher='tsyiv' candidate='card' length-match=False\n cipher='tsyiv' candidate='card' length-match=False\n cipher='tsyiv' candidate='wonderland' length-match=False\n cipher='tsyiv' candidate='white' length-match=True\n cipher='tsyiv' candidate='down' length-match=False\n cipher='tsyiv' candidate='smile' length-match=True\n cipher='tsyiv' candidate='smiled' length-match=False\n cipher='tsyiv' candidate='looking' length-match=False\n cipher='tsyiv' candidate='glass' length-match=True\n cipher='tsyiv' candidate='march' length-match=True\n cipher='tsyiv' candidate='hare' length-match=False\n cipher='tsyiv' candidate='dormouse' length-match=False\n cipher='pvt' candidate='alice' length-match=False\n cipher='pvt' candidate='rabbit' length-match=False\n cipher='pvt' candidate='hatter' length-match=False\n cipher='pvt' candidate='cheshire' length-match=False\n cipher='pvt' candidate='queen' length-match=False\n cipher='pvt' candidate='tea' length-match=True <- assign\n cipher='pvt' candidate='cake' length-match=False\n cipher='pvt' candidate='garden' length-match=False\n cipher='pvt' candidate='mushroom' length-match=False\n cipher='pvt' candidate='card' length-match=False\n cipher='pvt' candidate='card' length-match=False\n cipher='pvt' candidate='wonderland' length-match=False\n cipher='pvt' candidate='white' length-match=False\n cipher='pvt' candidate='down' length-match=False\n cipher='pvt' candidate='smile' length-match=False\n cipher='pvt' candidate='smiled' length-match=False\n cipher='pvt' candidate='looking' length-match=False\n cipher='pvt' candidate='glass' length-match=False\n cipher='pvt' candidate='march' length-match=False\n cipher='pvt' candidate='hare' length-match=False\n cipher='pvt' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n queen card alice tea\nFinal: \\boxed{queen card alice tea}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n V = 5 -> 60 + 5 = 65\nFinal: \\boxed{65}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n bpvgu dbfeuq gbfe sbiiuf\n### Reasoning:\n<|cot_start|>Cipher text: bpvgu dbfeuq gbfe sbiiuf\nTry each candidate Wonderland word against each ciphertext word:\n cipher='bpvgu' candidate='alice' length-match=True <- assign\n cipher='bpvgu' candidate='rabbit' length-match=False\n cipher='bpvgu' candidate='hatter' length-match=False\n cipher='bpvgu' candidate='cheshire' length-match=False\n cipher='bpvgu' candidate='queen' length-match=True\n cipher='bpvgu' candidate='tea' length-match=False\n cipher='bpvgu' candidate='cake' length-match=False\n cipher='bpvgu' candidate='garden' length-match=False\n cipher='bpvgu' candidate='mushroom' length-match=False\n cipher='bpvgu' candidate='card' length-match=False\n cipher='bpvgu' candidate='card' length-match=False\n cipher='bpvgu' candidate='wonderland' length-match=False\n cipher='bpvgu' candidate='white' length-match=True\n cipher='bpvgu' candidate='down' length-match=False\n cipher='bpvgu' candidate='smile' length-match=True\n cipher='bpvgu' candidate='smiled' length-match=False\n cipher='bpvgu' candidate='looking' length-match=False\n cipher='bpvgu' candidate='glass' length-match=True\n cipher='bpvgu' candidate='march' length-match=True\n cipher='bpvgu' candidate='hare' length-match=False\n cipher='bpvgu' candidate='dormouse' length-match=False\n cipher='dbfeuq' candidate='alice' length-match=False\n cipher='dbfeuq' candidate='rabbit' length-match=True\n cipher='dbfeuq' candidate='hatter' length-match=True\n cipher='dbfeuq' candidate='cheshire' length-match=False\n cipher='dbfeuq' candidate='queen' length-match=False\n cipher='dbfeuq' candidate='tea' length-match=False\n cipher='dbfeuq' candidate='cake' length-match=False\n cipher='dbfeuq' candidate='garden' length-match=True <- assign\n cipher='dbfeuq' candidate='mushroom' length-match=False\n cipher='dbfeuq' candidate='card' length-match=False\n cipher='dbfeuq' candidate='card' length-match=False\n cipher='dbfeuq' candidate='wonderland' length-match=False\n cipher='dbfeuq' candidate='white' length-match=False\n cipher='dbfeuq' candidate='down' length-match=False\n cipher='dbfeuq' candidate='smile' length-match=False\n cipher='dbfeuq' candidate='smiled' length-match=True\n cipher='dbfeuq' candidate='looking' length-match=False\n cipher='dbfeuq' candidate='glass' length-match=False\n cipher='dbfeuq' candidate='march' length-match=False\n cipher='dbfeuq' candidate='hare' length-match=False\n cipher='dbfeuq' candidate='dormouse' length-match=False\n cipher='gbfe' candidate='alice' length-match=False\n cipher='gbfe' candidate='rabbit' length-match=False\n cipher='gbfe' candidate='hatter' length-match=False\n cipher='gbfe' candidate='cheshire' length-match=False\n cipher='gbfe' candidate='queen' length-match=False\n cipher='gbfe' candidate='tea' length-match=False\n cipher='gbfe' candidate='cake' length-match=True\n cipher='gbfe' candidate='garden' length-match=False\n cipher='gbfe' candidate='mushroom' length-match=False\n cipher='gbfe' candidate='card' length-match=True <- assign\n cipher='gbfe' candidate='card' length-match=True <- assign\n cipher='gbfe' candidate='wonderland' length-match=False\n cipher='gbfe' candidate='white' length-match=False\n cipher='gbfe' candidate='down' length-match=True\n cipher='gbfe' candidate='smile' length-match=False\n cipher='gbfe' candidate='smiled' length-match=False\n cipher='gbfe' candidate='looking' length-match=False\n cipher='gbfe' candidate='glass' length-match=False\n cipher='gbfe' candidate='march' length-match=False\n cipher='gbfe' candidate='hare' length-match=True\n cipher='gbfe' candidate='dormouse' length-match=False\n cipher='sbiiuf' candidate='alice' length-match=False\n cipher='sbiiuf' candidate='rabbit' length-match=True\n cipher='sbiiuf' candidate='hatter' length-match=True <- assign\n cipher='sbiiuf' candidate='cheshire' length-match=False\n cipher='sbiiuf' candidate='queen' length-match=False\n cipher='sbiiuf' candidate='tea' length-match=False\n cipher='sbiiuf' candidate='cake' length-match=False\n cipher='sbiiuf' candidate='garden' length-match=True\n cipher='sbiiuf' candidate='mushroom' length-match=False\n cipher='sbiiuf' candidate='card' length-match=False\n cipher='sbiiuf' candidate='card' length-match=False\n cipher='sbiiuf' candidate='wonderland' length-match=False\n cipher='sbiiuf' candidate='white' length-match=False\n cipher='sbiiuf' candidate='down' length-match=False\n cipher='sbiiuf' candidate='smile' length-match=False\n cipher='sbiiuf' candidate='smiled' length-match=True\n cipher='sbiiuf' candidate='looking' length-match=False\n cipher='sbiiuf' candidate='glass' length-match=False\n cipher='sbiiuf' candidate='march' length-match=False\n cipher='sbiiuf' candidate='hare' length-match=False\n cipher='sbiiuf' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n alice garden card hatter\nFinal: \\boxed{alice garden card hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n hqexo tshv znbqassz gcatov\n### Reasoning:\n<|cot_start|>Cipher text: hqexo tshv znbqassz gcatov\nTry each candidate Wonderland word against each ciphertext word:\n cipher='hqexo' candidate='alice' length-match=True\n cipher='hqexo' candidate='rabbit' length-match=False\n cipher='hqexo' candidate='hatter' length-match=False\n cipher='hqexo' candidate='cheshire' length-match=False\n cipher='hqexo' candidate='queen' length-match=True\n cipher='hqexo' candidate='tea' length-match=False\n cipher='hqexo' candidate='cake' length-match=False\n cipher='hqexo' candidate='garden' length-match=False\n cipher='hqexo' candidate='mushroom' length-match=False\n cipher='hqexo' candidate='card' length-match=False\n cipher='hqexo' candidate='card' length-match=False\n cipher='hqexo' candidate='wonderland' length-match=False\n cipher='hqexo' candidate='white' length-match=True <- assign\n cipher='hqexo' candidate='down' length-match=False\n cipher='hqexo' candidate='smile' length-match=True\n cipher='hqexo' candidate='smiled' length-match=False\n cipher='hqexo' candidate='looking' length-match=False\n cipher='hqexo' candidate='glass' length-match=True\n cipher='hqexo' candidate='march' length-match=True\n cipher='hqexo' candidate='hare' length-match=False\n cipher='hqexo' candidate='dormouse' length-match=False\n cipher='tshv' candidate='alice' length-match=False\n cipher='tshv' candidate='rabbit' length-match=False\n cipher='tshv' candidate='hatter' length-match=False\n cipher='tshv' candidate='cheshire' length-match=False\n cipher='tshv' candidate='queen' length-match=False\n cipher='tshv' candidate='tea' length-match=False\n cipher='tshv' candidate='cake' length-match=True\n cipher='tshv' candidate='garden' length-match=False\n cipher='tshv' candidate='mushroom' length-match=False\n cipher='tshv' candidate='card' length-match=True\n cipher='tshv' candidate='card' length-match=True\n cipher='tshv' candidate='wonderland' length-match=False\n cipher='tshv' candidate='white' length-match=False\n cipher='tshv' candidate='down' length-match=True <- assign\n cipher='tshv' candidate='smile' length-match=False\n cipher='tshv' candidate='smiled' length-match=False\n cipher='tshv' candidate='looking' length-match=False\n cipher='tshv' candidate='glass' length-match=False\n cipher='tshv' candidate='march' length-match=False\n cipher='tshv' candidate='hare' length-match=True\n cipher='tshv' candidate='dormouse' length-match=False\n cipher='znbqassz' candidate='alice' length-match=False\n cipher='znbqassz' candidate='rabbit' length-match=False\n cipher='znbqassz' candidate='hatter' length-match=False\n cipher='znbqassz' candidate='cheshire' length-match=True\n cipher='znbqassz' candidate='queen' length-match=False\n cipher='znbqassz' candidate='tea' length-match=False\n cipher='znbqassz' candidate='cake' length-match=False\n cipher='znbqassz' candidate='garden' length-match=False\n cipher='znbqassz' candidate='mushroom' length-match=True <- assign\n cipher='znbqassz' candidate='card' length-match=False\n cipher='znbqassz' candidate='card' length-match=False\n cipher='znbqassz' candidate='wonderland' length-match=False\n cipher='znbqassz' candidate='white' length-match=False\n cipher='znbqassz' candidate='down' length-match=False\n cipher='znbqassz' candidate='smile' length-match=False\n cipher='znbqassz' candidate='smiled' length-match=False\n cipher='znbqassz' candidate='looking' length-match=False\n cipher='znbqassz' candidate='glass' length-match=False\n cipher='znbqassz' candidate='march' length-match=False\n cipher='znbqassz' candidate='hare' length-match=False\n cipher='znbqassz' candidate='dormouse' length-match=True\n cipher='gcatov' candidate='alice' length-match=False\n cipher='gcatov' candidate='rabbit' length-match=True\n cipher='gcatov' candidate='hatter' length-match=True\n cipher='gcatov' candidate='cheshire' length-match=False\n cipher='gcatov' candidate='queen' length-match=False\n cipher='gcatov' candidate='tea' length-match=False\n cipher='gcatov' candidate='cake' length-match=False\n cipher='gcatov' candidate='garden' length-match=True <- assign\n cipher='gcatov' candidate='mushroom' length-match=False\n cipher='gcatov' candidate='card' length-match=False\n cipher='gcatov' candidate='card' length-match=False\n cipher='gcatov' candidate='wonderland' length-match=False\n cipher='gcatov' candidate='white' length-match=False\n cipher='gcatov' candidate='down' length-match=False\n cipher='gcatov' candidate='smile' length-match=False\n cipher='gcatov' candidate='smiled' length-match=True\n cipher='gcatov' candidate='looking' length-match=False\n cipher='gcatov' candidate='glass' length-match=False\n cipher='gcatov' candidate='march' length-match=False\n cipher='gcatov' candidate='hare' length-match=False\n cipher='gcatov' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n white down mushroom garden\nFinal: \\boxed{white down mushroom garden}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n I = 1 -> 60 + 1 = 61\nFinal: \\boxed{61}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n jzt gtcvzh mwzpwycz iuuayhg\n### Reasoning:\n<|cot_start|>Cipher text: jzt gtcvzh mwzpwycz iuuayhg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='jzt' candidate='alice' length-match=False\n cipher='jzt' candidate='rabbit' length-match=False\n cipher='jzt' candidate='hatter' length-match=False\n cipher='jzt' candidate='cheshire' length-match=False\n cipher='jzt' candidate='queen' length-match=False\n cipher='jzt' candidate='tea' length-match=True <- assign\n cipher='jzt' candidate='cake' length-match=False\n cipher='jzt' candidate='garden' length-match=False\n cipher='jzt' candidate='mushroom' length-match=False\n cipher='jzt' candidate='card' length-match=False\n cipher='jzt' candidate='card' length-match=False\n cipher='jzt' candidate='wonderland' length-match=False\n cipher='jzt' candidate='white' length-match=False\n cipher='jzt' candidate='down' length-match=False\n cipher='jzt' candidate='smile' length-match=False\n cipher='jzt' candidate='smiled' length-match=False\n cipher='jzt' candidate='looking' length-match=False\n cipher='jzt' candidate='glass' length-match=False\n cipher='jzt' candidate='march' length-match=False\n cipher='jzt' candidate='hare' length-match=False\n cipher='jzt' candidate='dormouse' length-match=False\n cipher='gtcvzh' candidate='alice' length-match=False\n cipher='gtcvzh' candidate='rabbit' length-match=True\n cipher='gtcvzh' candidate='hatter' length-match=True\n cipher='gtcvzh' candidate='cheshire' length-match=False\n cipher='gtcvzh' candidate='queen' length-match=False\n cipher='gtcvzh' candidate='tea' length-match=False\n cipher='gtcvzh' candidate='cake' length-match=False\n cipher='gtcvzh' candidate='garden' length-match=True <- assign\n cipher='gtcvzh' candidate='mushroom' length-match=False\n cipher='gtcvzh' candidate='card' length-match=False\n cipher='gtcvzh' candidate='card' length-match=False\n cipher='gtcvzh' candidate='wonderland' length-match=False\n cipher='gtcvzh' candidate='white' length-match=False\n cipher='gtcvzh' candidate='down' length-match=False\n cipher='gtcvzh' candidate='smile' length-match=False\n cipher='gtcvzh' candidate='smiled' length-match=True\n cipher='gtcvzh' candidate='looking' length-match=False\n cipher='gtcvzh' candidate='glass' length-match=False\n cipher='gtcvzh' candidate='march' length-match=False\n cipher='gtcvzh' candidate='hare' length-match=False\n cipher='gtcvzh' candidate='dormouse' length-match=False\n cipher='mwzpwycz' candidate='alice' length-match=False\n cipher='mwzpwycz' candidate='rabbit' length-match=False\n cipher='mwzpwycz' candidate='hatter' length-match=False\n cipher='mwzpwycz' candidate='cheshire' length-match=True <- assign\n cipher='mwzpwycz' candidate='queen' length-match=False\n cipher='mwzpwycz' candidate='tea' length-match=False\n cipher='mwzpwycz' candidate='cake' length-match=False\n cipher='mwzpwycz' candidate='garden' length-match=False\n cipher='mwzpwycz' candidate='mushroom' length-match=True\n cipher='mwzpwycz' candidate='card' length-match=False\n cipher='mwzpwycz' candidate='card' length-match=False\n cipher='mwzpwycz' candidate='wonderland' length-match=False\n cipher='mwzpwycz' candidate='white' length-match=False\n cipher='mwzpwycz' candidate='down' length-match=False\n cipher='mwzpwycz' candidate='smile' length-match=False\n cipher='mwzpwycz' candidate='smiled' length-match=False\n cipher='mwzpwycz' candidate='looking' length-match=False\n cipher='mwzpwycz' candidate='glass' length-match=False\n cipher='mwzpwycz' candidate='march' length-match=False\n cipher='mwzpwycz' candidate='hare' length-match=False\n cipher='mwzpwycz' candidate='dormouse' length-match=True\n cipher='iuuayhg' candidate='alice' length-match=False\n cipher='iuuayhg' candidate='rabbit' length-match=False\n cipher='iuuayhg' candidate='hatter' length-match=False\n cipher='iuuayhg' candidate='cheshire' length-match=False\n cipher='iuuayhg' candidate='queen' length-match=False\n cipher='iuuayhg' candidate='tea' length-match=False\n cipher='iuuayhg' candidate='cake' length-match=False\n cipher='iuuayhg' candidate='garden' length-match=False\n cipher='iuuayhg' candidate='mushroom' length-match=False\n cipher='iuuayhg' candidate='card' length-match=False\n cipher='iuuayhg' candidate='card' length-match=False\n cipher='iuuayhg' candidate='wonderland' length-match=False\n cipher='iuuayhg' candidate='white' length-match=False\n cipher='iuuayhg' candidate='down' length-match=False\n cipher='iuuayhg' candidate='smile' length-match=False\n cipher='iuuayhg' candidate='smiled' length-match=False\n cipher='iuuayhg' candidate='looking' length-match=True <- assign\n cipher='iuuayhg' candidate='glass' length-match=False\n cipher='iuuayhg' candidate='march' length-match=False\n cipher='iuuayhg' candidate='hare' length-match=False\n cipher='iuuayhg' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n tea garden cheshire looking\nFinal: \\boxed{tea garden cheshire looking}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10111110 -> 01000001\n 11110010 -> 00001101\n 10010010 -> 01101101\nApply to: 01111110\n### Reasoning:\n<|cot_start|>Given examples:\n 10111110 -> 01000001\n 11110010 -> 00001101\n 10010010 -> 01101101\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,0,0\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 1,1,0 -> 0,0,1\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 1,0,0 -> 0,1,1\n bit 5: 1,0,0 -> 0,1,1\n bit 6: 1,1,1 -> 0,0,0\n bit 7: 0,0,0 -> 1,1,1\nDeduce rule: invert (NOT).\nApply to 01111110:\n result = 10000001\nFinal: \\boxed{10000001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n hfkjm iqpo cfkigo pqoigkefoi\n### Reasoning:\n<|cot_start|>Cipher text: hfkjm iqpo cfkigo pqoigkefoi\nTry each candidate Wonderland word against each ciphertext word:\n cipher='hfkjm' candidate='alice' length-match=True\n cipher='hfkjm' candidate='rabbit' length-match=False\n cipher='hfkjm' candidate='hatter' length-match=False\n cipher='hfkjm' candidate='cheshire' length-match=False\n cipher='hfkjm' candidate='queen' length-match=True\n cipher='hfkjm' candidate='tea' length-match=False\n cipher='hfkjm' candidate='cake' length-match=False\n cipher='hfkjm' candidate='garden' length-match=False\n cipher='hfkjm' candidate='mushroom' length-match=False\n cipher='hfkjm' candidate='card' length-match=False\n cipher='hfkjm' candidate='card' length-match=False\n cipher='hfkjm' candidate='wonderland' length-match=False\n cipher='hfkjm' candidate='white' length-match=True\n cipher='hfkjm' candidate='down' length-match=False\n cipher='hfkjm' candidate='smile' length-match=True\n cipher='hfkjm' candidate='smiled' length-match=False\n cipher='hfkjm' candidate='looking' length-match=False\n cipher='hfkjm' candidate='glass' length-match=True\n cipher='hfkjm' candidate='march' length-match=True <- assign\n cipher='hfkjm' candidate='hare' length-match=False\n cipher='hfkjm' candidate='dormouse' length-match=False\n cipher='iqpo' candidate='alice' length-match=False\n cipher='iqpo' candidate='rabbit' length-match=False\n cipher='iqpo' candidate='hatter' length-match=False\n cipher='iqpo' candidate='cheshire' length-match=False\n cipher='iqpo' candidate='queen' length-match=False\n cipher='iqpo' candidate='tea' length-match=False\n cipher='iqpo' candidate='cake' length-match=True\n cipher='iqpo' candidate='garden' length-match=False\n cipher='iqpo' candidate='mushroom' length-match=False\n cipher='iqpo' candidate='card' length-match=True\n cipher='iqpo' candidate='card' length-match=True\n cipher='iqpo' candidate='wonderland' length-match=False\n cipher='iqpo' candidate='white' length-match=False\n cipher='iqpo' candidate='down' length-match=True <- assign\n cipher='iqpo' candidate='smile' length-match=False\n cipher='iqpo' candidate='smiled' length-match=False\n cipher='iqpo' candidate='looking' length-match=False\n cipher='iqpo' candidate='glass' length-match=False\n cipher='iqpo' candidate='march' length-match=False\n cipher='iqpo' candidate='hare' length-match=True\n cipher='iqpo' candidate='dormouse' length-match=False\n cipher='cfkigo' candidate='alice' length-match=False\n cipher='cfkigo' candidate='rabbit' length-match=True\n cipher='cfkigo' candidate='hatter' length-match=True\n cipher='cfkigo' candidate='cheshire' length-match=False\n cipher='cfkigo' candidate='queen' length-match=False\n cipher='cfkigo' candidate='tea' length-match=False\n cipher='cfkigo' candidate='cake' length-match=False\n cipher='cfkigo' candidate='garden' length-match=True <- assign\n cipher='cfkigo' candidate='mushroom' length-match=False\n cipher='cfkigo' candidate='card' length-match=False\n cipher='cfkigo' candidate='card' length-match=False\n cipher='cfkigo' candidate='wonderland' length-match=False\n cipher='cfkigo' candidate='white' length-match=False\n cipher='cfkigo' candidate='down' length-match=False\n cipher='cfkigo' candidate='smile' length-match=False\n cipher='cfkigo' candidate='smiled' length-match=True\n cipher='cfkigo' candidate='looking' length-match=False\n cipher='cfkigo' candidate='glass' length-match=False\n cipher='cfkigo' candidate='march' length-match=False\n cipher='cfkigo' candidate='hare' length-match=False\n cipher='cfkigo' candidate='dormouse' length-match=False\n cipher='pqoigkefoi' candidate='alice' length-match=False\n cipher='pqoigkefoi' candidate='rabbit' length-match=False\n cipher='pqoigkefoi' candidate='hatter' length-match=False\n cipher='pqoigkefoi' candidate='cheshire' length-match=False\n cipher='pqoigkefoi' candidate='queen' length-match=False\n cipher='pqoigkefoi' candidate='tea' length-match=False\n cipher='pqoigkefoi' candidate='cake' length-match=False\n cipher='pqoigkefoi' candidate='garden' length-match=False\n cipher='pqoigkefoi' candidate='mushroom' length-match=False\n cipher='pqoigkefoi' candidate='card' length-match=False\n cipher='pqoigkefoi' candidate='card' length-match=False\n cipher='pqoigkefoi' candidate='wonderland' length-match=True <- assign\n cipher='pqoigkefoi' candidate='white' length-match=False\n cipher='pqoigkefoi' candidate='down' length-match=False\n cipher='pqoigkefoi' candidate='smile' length-match=False\n cipher='pqoigkefoi' candidate='smiled' length-match=False\n cipher='pqoigkefoi' candidate='looking' length-match=False\n cipher='pqoigkefoi' candidate='glass' length-match=False\n cipher='pqoigkefoi' candidate='march' length-match=False\n cipher='pqoigkefoi' candidate='hare' length-match=False\n cipher='pqoigkefoi' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n march down garden wonderland\nFinal: \\boxed{march down garden wonderland}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 51 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 51 kilometres = 51 * 1000 metres.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 1 * 10^0 * 1000 = 1000\n running total = 51000\nFinal: \\boxed{51000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 55 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 55 minutes = 55 * 60 seconds.\nCompute step by step:\n 5 * 10^1 * 60 = 3000\n running total = 3000\n 5 * 10^0 * 60 = 300\n running total = 3300\nFinal: \\boxed{3300}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 37 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 37 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 7 * 10^0 * 981 = 6867\n running total = 36297\nSo F = 36297 centiNewtons = 362.97 N.\nFinal: \\boxed{362.97}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 36 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 36 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 6 * 10^0 * 981 = 5886\n running total = 35316\nSo F = 35316 centiNewtons = 353.16 N.\nFinal: \\boxed{353.16}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 37 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 37 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 7 * 10^0 * 981 = 6867\n running total = 36297\nSo F = 36297 centiNewtons = 362.97 N.\nFinal: \\boxed{362.97}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n V = 5 -> 30 + 5 = 35\n I = 1 -> 35 + 1 = 36\n I = 1 -> 36 + 1 = 37\nFinal: \\boxed{37}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 48,40 -> 4840\n 75,65 -> 7565\n 44,47 -> 4447\nApply to: 58,51\n### Reasoning:\n<|cot_start|>Examples:\n 48,40 -> 4840\n 75,65 -> 7565\n 44,47 -> 4447\nCheck both candidate forms:\n concat(48,40)=4840 rev_concat(48,40)=4048 target=4840 concat\n concat(75,65)=7565 rev_concat(75,65)=6575 target=7565 concat\n concat(44,47)=4447 rev_concat(44,47)=4744 target=4447 concat\nConclude operator: concat.\nApply to (58, 51): answer = 5851\nFinal: \\boxed{5851}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 10,34 -> 340\n 94,93 -> 8742\n 48,91 -> 4368\nApply to: 33,31\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 10,34: '+' gives 44; target=340 no\n 10,34: '-' gives 24; target=340 no\n 10,34: '*' gives 340; target=340 MATCH\n 10,34: 'concat' gives 1034; target=340 no\n 10,34: 'rev_concat' gives 3410; target=340 no\n 10,34: 'max*min+sum' gives 384; target=340 no\n 10,34: 'digitsum2' gives 64; target=340 no\n 94,93: '+' gives 187; target=8742 no\n 94,93: '-' gives 1; target=8742 no\n 94,93: '*' gives 8742; target=8742 MATCH\n 94,93: 'concat' gives 9493; target=8742 no\n 94,93: 'rev_concat' gives 9394; target=8742 no\n 94,93: 'max*min+sum' gives 8929; target=8742 no\n 94,93: 'digitsum2' gives 625; target=8742 no\n 48,91: '+' gives 139; target=4368 no\n 48,91: '-' gives 43; target=4368 no\n 48,91: '*' gives 4368; target=4368 MATCH\n 48,91: 'concat' gives 4891; target=4368 no\n 48,91: 'rev_concat' gives 9148; target=4368 no\n 48,91: 'max*min+sum' gives 4507; target=4368 no\n 48,91: 'digitsum2' gives 484; target=4368 no\nThe only operator consistent with all examples is '*'.\nApply to (33, 31):\n result = 1023\nFinal: \\boxed{1023}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 53 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 53 litres = 53 * 1000 millilitres.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 3 * 10^0 * 1000 = 3000\n running total = 53000\nFinal: \\boxed{53000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 2 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 2 * 981.\nStep-by-step multiplication:\n 2 * 10^0 * 981 = 1962\n running total = 1962\nSo F = 1962 centiNewtons = 19.62 N.\nFinal: \\boxed{19.62}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 1 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 1 * 981.\nStep-by-step multiplication:\n 1 * 10^0 * 981 = 981\n running total = 981\nSo F = 981 centiNewtons = 9.81 N.\nFinal: \\boxed{9.81}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n I = 1 -> 70 + 1 = 71\n I = 1 -> 71 + 1 = 72\n I = 1 -> 72 + 1 = 73\nFinal: \\boxed{73}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dfaaix xfppma qciis rfxo\n### Reasoning:\n<|cot_start|>Cipher text: dfaaix xfppma qciis rfxo\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dfaaix' candidate='alice' length-match=False\n cipher='dfaaix' candidate='rabbit' length-match=True\n cipher='dfaaix' candidate='hatter' length-match=True <- assign\n cipher='dfaaix' candidate='cheshire' length-match=False\n cipher='dfaaix' candidate='queen' length-match=False\n cipher='dfaaix' candidate='tea' length-match=False\n cipher='dfaaix' candidate='cake' length-match=False\n cipher='dfaaix' candidate='garden' length-match=True\n cipher='dfaaix' candidate='mushroom' length-match=False\n cipher='dfaaix' candidate='card' length-match=False\n cipher='dfaaix' candidate='card' length-match=False\n cipher='dfaaix' candidate='wonderland' length-match=False\n cipher='dfaaix' candidate='white' length-match=False\n cipher='dfaaix' candidate='down' length-match=False\n cipher='dfaaix' candidate='smile' length-match=False\n cipher='dfaaix' candidate='smiled' length-match=True\n cipher='dfaaix' candidate='looking' length-match=False\n cipher='dfaaix' candidate='glass' length-match=False\n cipher='dfaaix' candidate='march' length-match=False\n cipher='dfaaix' candidate='hare' length-match=False\n cipher='dfaaix' candidate='dormouse' length-match=False\n cipher='xfppma' candidate='alice' length-match=False\n cipher='xfppma' candidate='rabbit' length-match=True <- assign\n cipher='xfppma' candidate='hatter' length-match=True\n cipher='xfppma' candidate='cheshire' length-match=False\n cipher='xfppma' candidate='queen' length-match=False\n cipher='xfppma' candidate='tea' length-match=False\n cipher='xfppma' candidate='cake' length-match=False\n cipher='xfppma' candidate='garden' length-match=True\n cipher='xfppma' candidate='mushroom' length-match=False\n cipher='xfppma' candidate='card' length-match=False\n cipher='xfppma' candidate='card' length-match=False\n cipher='xfppma' candidate='wonderland' length-match=False\n cipher='xfppma' candidate='white' length-match=False\n cipher='xfppma' candidate='down' length-match=False\n cipher='xfppma' candidate='smile' length-match=False\n cipher='xfppma' candidate='smiled' length-match=True\n cipher='xfppma' candidate='looking' length-match=False\n cipher='xfppma' candidate='glass' length-match=False\n cipher='xfppma' candidate='march' length-match=False\n cipher='xfppma' candidate='hare' length-match=False\n cipher='xfppma' candidate='dormouse' length-match=False\n cipher='qciis' candidate='alice' length-match=True\n cipher='qciis' candidate='rabbit' length-match=False\n cipher='qciis' candidate='hatter' length-match=False\n cipher='qciis' candidate='cheshire' length-match=False\n cipher='qciis' candidate='queen' length-match=True <- assign\n cipher='qciis' candidate='tea' length-match=False\n cipher='qciis' candidate='cake' length-match=False\n cipher='qciis' candidate='garden' length-match=False\n cipher='qciis' candidate='mushroom' length-match=False\n cipher='qciis' candidate='card' length-match=False\n cipher='qciis' candidate='card' length-match=False\n cipher='qciis' candidate='wonderland' length-match=False\n cipher='qciis' candidate='white' length-match=True\n cipher='qciis' candidate='down' length-match=False\n cipher='qciis' candidate='smile' length-match=True\n cipher='qciis' candidate='smiled' length-match=False\n cipher='qciis' candidate='looking' length-match=False\n cipher='qciis' candidate='glass' length-match=True\n cipher='qciis' candidate='march' length-match=True\n cipher='qciis' candidate='hare' length-match=False\n cipher='qciis' candidate='dormouse' length-match=False\n cipher='rfxo' candidate='alice' length-match=False\n cipher='rfxo' candidate='rabbit' length-match=False\n cipher='rfxo' candidate='hatter' length-match=False\n cipher='rfxo' candidate='cheshire' length-match=False\n cipher='rfxo' candidate='queen' length-match=False\n cipher='rfxo' candidate='tea' length-match=False\n cipher='rfxo' candidate='cake' length-match=True\n cipher='rfxo' candidate='garden' length-match=False\n cipher='rfxo' candidate='mushroom' length-match=False\n cipher='rfxo' candidate='card' length-match=True <- assign\n cipher='rfxo' candidate='card' length-match=True <- assign\n cipher='rfxo' candidate='wonderland' length-match=False\n cipher='rfxo' candidate='white' length-match=False\n cipher='rfxo' candidate='down' length-match=True\n cipher='rfxo' candidate='smile' length-match=False\n cipher='rfxo' candidate='smiled' length-match=False\n cipher='rfxo' candidate='looking' length-match=False\n cipher='rfxo' candidate='glass' length-match=False\n cipher='rfxo' candidate='march' length-match=False\n cipher='rfxo' candidate='hare' length-match=True\n cipher='rfxo' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n hatter rabbit queen card\nFinal: \\boxed{hatter rabbit queen card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n kuthbrrk zacv zhvthdbv mva\n### Reasoning:\n<|cot_start|>Cipher text: kuthbrrk zacv zhvthdbv mva\nTry each candidate Wonderland word against each ciphertext word:\n cipher='kuthbrrk' candidate='alice' length-match=False\n cipher='kuthbrrk' candidate='rabbit' length-match=False\n cipher='kuthbrrk' candidate='hatter' length-match=False\n cipher='kuthbrrk' candidate='cheshire' length-match=True\n cipher='kuthbrrk' candidate='queen' length-match=False\n cipher='kuthbrrk' candidate='tea' length-match=False\n cipher='kuthbrrk' candidate='cake' length-match=False\n cipher='kuthbrrk' candidate='garden' length-match=False\n cipher='kuthbrrk' candidate='mushroom' length-match=True <- assign\n cipher='kuthbrrk' candidate='card' length-match=False\n cipher='kuthbrrk' candidate='card' length-match=False\n cipher='kuthbrrk' candidate='wonderland' length-match=False\n cipher='kuthbrrk' candidate='white' length-match=False\n cipher='kuthbrrk' candidate='down' length-match=False\n cipher='kuthbrrk' candidate='smile' length-match=False\n cipher='kuthbrrk' candidate='smiled' length-match=False\n cipher='kuthbrrk' candidate='looking' length-match=False\n cipher='kuthbrrk' candidate='glass' length-match=False\n cipher='kuthbrrk' candidate='march' length-match=False\n cipher='kuthbrrk' candidate='hare' length-match=False\n cipher='kuthbrrk' candidate='dormouse' length-match=True\n cipher='zacv' candidate='alice' length-match=False\n cipher='zacv' candidate='rabbit' length-match=False\n cipher='zacv' candidate='hatter' length-match=False\n cipher='zacv' candidate='cheshire' length-match=False\n cipher='zacv' candidate='queen' length-match=False\n cipher='zacv' candidate='tea' length-match=False\n cipher='zacv' candidate='cake' length-match=True <- assign\n cipher='zacv' candidate='garden' length-match=False\n cipher='zacv' candidate='mushroom' length-match=False\n cipher='zacv' candidate='card' length-match=True\n cipher='zacv' candidate='card' length-match=True\n cipher='zacv' candidate='wonderland' length-match=False\n cipher='zacv' candidate='white' length-match=False\n cipher='zacv' candidate='down' length-match=True\n cipher='zacv' candidate='smile' length-match=False\n cipher='zacv' candidate='smiled' length-match=False\n cipher='zacv' candidate='looking' length-match=False\n cipher='zacv' candidate='glass' length-match=False\n cipher='zacv' candidate='march' length-match=False\n cipher='zacv' candidate='hare' length-match=True\n cipher='zacv' candidate='dormouse' length-match=False\n cipher='zhvthdbv' candidate='alice' length-match=False\n cipher='zhvthdbv' candidate='rabbit' length-match=False\n cipher='zhvthdbv' candidate='hatter' length-match=False\n cipher='zhvthdbv' candidate='cheshire' length-match=True <- assign\n cipher='zhvthdbv' candidate='queen' length-match=False\n cipher='zhvthdbv' candidate='tea' length-match=False\n cipher='zhvthdbv' candidate='cake' length-match=False\n cipher='zhvthdbv' candidate='garden' length-match=False\n cipher='zhvthdbv' candidate='mushroom' length-match=True\n cipher='zhvthdbv' candidate='card' length-match=False\n cipher='zhvthdbv' candidate='card' length-match=False\n cipher='zhvthdbv' candidate='wonderland' length-match=False\n cipher='zhvthdbv' candidate='white' length-match=False\n cipher='zhvthdbv' candidate='down' length-match=False\n cipher='zhvthdbv' candidate='smile' length-match=False\n cipher='zhvthdbv' candidate='smiled' length-match=False\n cipher='zhvthdbv' candidate='looking' length-match=False\n cipher='zhvthdbv' candidate='glass' length-match=False\n cipher='zhvthdbv' candidate='march' length-match=False\n cipher='zhvthdbv' candidate='hare' length-match=False\n cipher='zhvthdbv' candidate='dormouse' length-match=True\n cipher='mva' candidate='alice' length-match=False\n cipher='mva' candidate='rabbit' length-match=False\n cipher='mva' candidate='hatter' length-match=False\n cipher='mva' candidate='cheshire' length-match=False\n cipher='mva' candidate='queen' length-match=False\n cipher='mva' candidate='tea' length-match=True <- assign\n cipher='mva' candidate='cake' length-match=False\n cipher='mva' candidate='garden' length-match=False\n cipher='mva' candidate='mushroom' length-match=False\n cipher='mva' candidate='card' length-match=False\n cipher='mva' candidate='card' length-match=False\n cipher='mva' candidate='wonderland' length-match=False\n cipher='mva' candidate='white' length-match=False\n cipher='mva' candidate='down' length-match=False\n cipher='mva' candidate='smile' length-match=False\n cipher='mva' candidate='smiled' length-match=False\n cipher='mva' candidate='looking' length-match=False\n cipher='mva' candidate='glass' length-match=False\n cipher='mva' candidate='march' length-match=False\n cipher='mva' candidate='hare' length-match=False\n cipher='mva' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n mushroom cake cheshire tea\nFinal: \\boxed{mushroom cake cheshire tea}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 48 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 48 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 8 * 10^0 * 981 = 7848\n running total = 47088\nSo F = 47088 centiNewtons = 470.88 N.\nFinal: \\boxed{470.88}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n I = 1 -> 40 + 1 = 41\nFinal: \\boxed{41}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n jeewyfa luqqf gtyjq sndq\n### Reasoning:\n<|cot_start|>Cipher text: jeewyfa luqqf gtyjq sndq\nTry each candidate Wonderland word against each ciphertext word:\n cipher='jeewyfa' candidate='alice' length-match=False\n cipher='jeewyfa' candidate='rabbit' length-match=False\n cipher='jeewyfa' candidate='hatter' length-match=False\n cipher='jeewyfa' candidate='cheshire' length-match=False\n cipher='jeewyfa' candidate='queen' length-match=False\n cipher='jeewyfa' candidate='tea' length-match=False\n cipher='jeewyfa' candidate='cake' length-match=False\n cipher='jeewyfa' candidate='garden' length-match=False\n cipher='jeewyfa' candidate='mushroom' length-match=False\n cipher='jeewyfa' candidate='card' length-match=False\n cipher='jeewyfa' candidate='card' length-match=False\n cipher='jeewyfa' candidate='wonderland' length-match=False\n cipher='jeewyfa' candidate='white' length-match=False\n cipher='jeewyfa' candidate='down' length-match=False\n cipher='jeewyfa' candidate='smile' length-match=False\n cipher='jeewyfa' candidate='smiled' length-match=False\n cipher='jeewyfa' candidate='looking' length-match=True <- assign\n cipher='jeewyfa' candidate='glass' length-match=False\n cipher='jeewyfa' candidate='march' length-match=False\n cipher='jeewyfa' candidate='hare' length-match=False\n cipher='jeewyfa' candidate='dormouse' length-match=False\n cipher='luqqf' candidate='alice' length-match=True\n cipher='luqqf' candidate='rabbit' length-match=False\n cipher='luqqf' candidate='hatter' length-match=False\n cipher='luqqf' candidate='cheshire' length-match=False\n cipher='luqqf' candidate='queen' length-match=True <- assign\n cipher='luqqf' candidate='tea' length-match=False\n cipher='luqqf' candidate='cake' length-match=False\n cipher='luqqf' candidate='garden' length-match=False\n cipher='luqqf' candidate='mushroom' length-match=False\n cipher='luqqf' candidate='card' length-match=False\n cipher='luqqf' candidate='card' length-match=False\n cipher='luqqf' candidate='wonderland' length-match=False\n cipher='luqqf' candidate='white' length-match=True\n cipher='luqqf' candidate='down' length-match=False\n cipher='luqqf' candidate='smile' length-match=True\n cipher='luqqf' candidate='smiled' length-match=False\n cipher='luqqf' candidate='looking' length-match=False\n cipher='luqqf' candidate='glass' length-match=True\n cipher='luqqf' candidate='march' length-match=True\n cipher='luqqf' candidate='hare' length-match=False\n cipher='luqqf' candidate='dormouse' length-match=False\n cipher='gtyjq' candidate='alice' length-match=True\n cipher='gtyjq' candidate='rabbit' length-match=False\n cipher='gtyjq' candidate='hatter' length-match=False\n cipher='gtyjq' candidate='cheshire' length-match=False\n cipher='gtyjq' candidate='queen' length-match=True\n cipher='gtyjq' candidate='tea' length-match=False\n cipher='gtyjq' candidate='cake' length-match=False\n cipher='gtyjq' candidate='garden' length-match=False\n cipher='gtyjq' candidate='mushroom' length-match=False\n cipher='gtyjq' candidate='card' length-match=False\n cipher='gtyjq' candidate='card' length-match=False\n cipher='gtyjq' candidate='wonderland' length-match=False\n cipher='gtyjq' candidate='white' length-match=True\n cipher='gtyjq' candidate='down' length-match=False\n cipher='gtyjq' candidate='smile' length-match=True <- assign\n cipher='gtyjq' candidate='smiled' length-match=False\n cipher='gtyjq' candidate='looking' length-match=False\n cipher='gtyjq' candidate='glass' length-match=True\n cipher='gtyjq' candidate='march' length-match=True\n cipher='gtyjq' candidate='hare' length-match=False\n cipher='gtyjq' candidate='dormouse' length-match=False\n cipher='sndq' candidate='alice' length-match=False\n cipher='sndq' candidate='rabbit' length-match=False\n cipher='sndq' candidate='hatter' length-match=False\n cipher='sndq' candidate='cheshire' length-match=False\n cipher='sndq' candidate='queen' length-match=False\n cipher='sndq' candidate='tea' length-match=False\n cipher='sndq' candidate='cake' length-match=True\n cipher='sndq' candidate='garden' length-match=False\n cipher='sndq' candidate='mushroom' length-match=False\n cipher='sndq' candidate='card' length-match=True\n cipher='sndq' candidate='card' length-match=True\n cipher='sndq' candidate='wonderland' length-match=False\n cipher='sndq' candidate='white' length-match=False\n cipher='sndq' candidate='down' length-match=True\n cipher='sndq' candidate='smile' length-match=False\n cipher='sndq' candidate='smiled' length-match=False\n cipher='sndq' candidate='looking' length-match=False\n cipher='sndq' candidate='glass' length-match=False\n cipher='sndq' candidate='march' length-match=False\n cipher='sndq' candidate='hare' length-match=True <- assign\n cipher='sndq' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking queen smile hare\nFinal: \\boxed{looking queen smile hare}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 14 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 14 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 4 * 10^0 * 981 = 3924\n running total = 13734\nSo F = 13734 centiNewtons = 137.34 N.\nFinal: \\boxed{137.34}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 41 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 41 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 1 * 10^0 * 981 = 981\n running total = 40221\nSo F = 40221 centiNewtons = 402.21 N.\nFinal: \\boxed{402.21}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00111010 -> 00011101\n 10011010 -> 01001101\n 00101111 -> 10010111\nApply to: 00110100\n### Reasoning:\n<|cot_start|>Given examples:\n 00111010 -> 00011101\n 10011010 -> 01001101\n 00101111 -> 10010111\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 0,0,1\n bit 1: 0,0,0 -> 0,1,0\n bit 2: 1,0,1 -> 0,0,0\n bit 3: 1,1,0 -> 1,0,1\n bit 4: 1,1,1 -> 1,1,0\n bit 5: 0,0,1 -> 1,1,1\n bit 6: 1,1,1 -> 0,0,1\n bit 7: 0,0,1 -> 1,1,1\nDeduce rule: rotate right 1.\nApply to 00110100:\n result = 00011010\nFinal: \\boxed{00011010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 72,99 -> 7299\n 27,44 -> 2744\n 36,57 -> 3657\nApply to: 11,46\n### Reasoning:\n<|cot_start|>Examples:\n 72,99 -> 7299\n 27,44 -> 2744\n 36,57 -> 3657\nCheck both candidate forms:\n concat(72,99)=7299 rev_concat(72,99)=9972 target=7299 concat\n concat(27,44)=2744 rev_concat(27,44)=4427 target=2744 concat\n concat(36,57)=3657 rev_concat(36,57)=5736 target=3657 concat\nConclude operator: concat.\nApply to (11, 46): answer = 1146\nFinal: \\boxed{1146}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 82,61 -> 6182\n 54,65 -> 6554\n 43,59 -> 5943\nApply to: 31,26\n### Reasoning:\n<|cot_start|>Examples:\n 82,61 -> 6182\n 54,65 -> 6554\n 43,59 -> 5943\nCheck both candidate forms:\n concat(82,61)=8261 rev_concat(82,61)=6182 target=6182 rev_concat\n concat(54,65)=5465 rev_concat(54,65)=6554 target=6554 rev_concat\n concat(43,59)=4359 rev_concat(43,59)=5943 target=5943 rev_concat\nConclude operator: rev_concat.\nApply to (31, 26): answer = 2631\nFinal: \\boxed{2631}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n fkuwkdic iwyscf gpuf mcp\n### Reasoning:\n<|cot_start|>Cipher text: fkuwkdic iwyscf gpuf mcp\nTry each candidate Wonderland word against each ciphertext word:\n cipher='fkuwkdic' candidate='alice' length-match=False\n cipher='fkuwkdic' candidate='rabbit' length-match=False\n cipher='fkuwkdic' candidate='hatter' length-match=False\n cipher='fkuwkdic' candidate='cheshire' length-match=True\n cipher='fkuwkdic' candidate='queen' length-match=False\n cipher='fkuwkdic' candidate='tea' length-match=False\n cipher='fkuwkdic' candidate='cake' length-match=False\n cipher='fkuwkdic' candidate='garden' length-match=False\n cipher='fkuwkdic' candidate='mushroom' length-match=True\n cipher='fkuwkdic' candidate='card' length-match=False\n cipher='fkuwkdic' candidate='card' length-match=False\n cipher='fkuwkdic' candidate='wonderland' length-match=False\n cipher='fkuwkdic' candidate='white' length-match=False\n cipher='fkuwkdic' candidate='down' length-match=False\n cipher='fkuwkdic' candidate='smile' length-match=False\n cipher='fkuwkdic' candidate='smiled' length-match=False\n cipher='fkuwkdic' candidate='looking' length-match=False\n cipher='fkuwkdic' candidate='glass' length-match=False\n cipher='fkuwkdic' candidate='march' length-match=False\n cipher='fkuwkdic' candidate='hare' length-match=False\n cipher='fkuwkdic' candidate='dormouse' length-match=True <- assign\n cipher='iwyscf' candidate='alice' length-match=False\n cipher='iwyscf' candidate='rabbit' length-match=True\n cipher='iwyscf' candidate='hatter' length-match=True\n cipher='iwyscf' candidate='cheshire' length-match=False\n cipher='iwyscf' candidate='queen' length-match=False\n cipher='iwyscf' candidate='tea' length-match=False\n cipher='iwyscf' candidate='cake' length-match=False\n cipher='iwyscf' candidate='garden' length-match=True\n cipher='iwyscf' candidate='mushroom' length-match=False\n cipher='iwyscf' candidate='card' length-match=False\n cipher='iwyscf' candidate='card' length-match=False\n cipher='iwyscf' candidate='wonderland' length-match=False\n cipher='iwyscf' candidate='white' length-match=False\n cipher='iwyscf' candidate='down' length-match=False\n cipher='iwyscf' candidate='smile' length-match=False\n cipher='iwyscf' candidate='smiled' length-match=True <- assign\n cipher='iwyscf' candidate='looking' length-match=False\n cipher='iwyscf' candidate='glass' length-match=False\n cipher='iwyscf' candidate='march' length-match=False\n cipher='iwyscf' candidate='hare' length-match=False\n cipher='iwyscf' candidate='dormouse' length-match=False\n cipher='gpuf' candidate='alice' length-match=False\n cipher='gpuf' candidate='rabbit' length-match=False\n cipher='gpuf' candidate='hatter' length-match=False\n cipher='gpuf' candidate='cheshire' length-match=False\n cipher='gpuf' candidate='queen' length-match=False\n cipher='gpuf' candidate='tea' length-match=False\n cipher='gpuf' candidate='cake' length-match=True\n cipher='gpuf' candidate='garden' length-match=False\n cipher='gpuf' candidate='mushroom' length-match=False\n cipher='gpuf' candidate='card' length-match=True <- assign\n cipher='gpuf' candidate='card' length-match=True <- assign\n cipher='gpuf' candidate='wonderland' length-match=False\n cipher='gpuf' candidate='white' length-match=False\n cipher='gpuf' candidate='down' length-match=True\n cipher='gpuf' candidate='smile' length-match=False\n cipher='gpuf' candidate='smiled' length-match=False\n cipher='gpuf' candidate='looking' length-match=False\n cipher='gpuf' candidate='glass' length-match=False\n cipher='gpuf' candidate='march' length-match=False\n cipher='gpuf' candidate='hare' length-match=True\n cipher='gpuf' candidate='dormouse' length-match=False\n cipher='mcp' candidate='alice' length-match=False\n cipher='mcp' candidate='rabbit' length-match=False\n cipher='mcp' candidate='hatter' length-match=False\n cipher='mcp' candidate='cheshire' length-match=False\n cipher='mcp' candidate='queen' length-match=False\n cipher='mcp' candidate='tea' length-match=True <- assign\n cipher='mcp' candidate='cake' length-match=False\n cipher='mcp' candidate='garden' length-match=False\n cipher='mcp' candidate='mushroom' length-match=False\n cipher='mcp' candidate='card' length-match=False\n cipher='mcp' candidate='card' length-match=False\n cipher='mcp' candidate='wonderland' length-match=False\n cipher='mcp' candidate='white' length-match=False\n cipher='mcp' candidate='down' length-match=False\n cipher='mcp' candidate='smile' length-match=False\n cipher='mcp' candidate='smiled' length-match=False\n cipher='mcp' candidate='looking' length-match=False\n cipher='mcp' candidate='glass' length-match=False\n cipher='mcp' candidate='march' length-match=False\n cipher='mcp' candidate='hare' length-match=False\n cipher='mcp' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n dormouse smiled card tea\nFinal: \\boxed{dormouse smiled card tea}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 49 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 49 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 9 * 10^0 * 981 = 8829\n running total = 48069\nSo F = 48069 centiNewtons = 480.69 N.\nFinal: \\boxed{480.69}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 92,91 -> 8372\n 99,90 -> 8910\n 46,12 -> 552\nApply to: 18,68\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 92,91: '+' gives 183; target=8372 no\n 92,91: '-' gives 1; target=8372 no\n 92,91: '*' gives 8372; target=8372 MATCH\n 92,91: 'concat' gives 9291; target=8372 no\n 92,91: 'rev_concat' gives 9192; target=8372 no\n 92,91: 'max*min+sum' gives 8555; target=8372 no\n 92,91: 'digitsum2' gives 441; target=8372 no\n 99,90: '+' gives 189; target=8910 no\n 99,90: '-' gives 9; target=8910 no\n 99,90: '*' gives 8910; target=8910 MATCH\n 99,90: 'concat' gives 9990; target=8910 no\n 99,90: 'rev_concat' gives 9099; target=8910 no\n 99,90: 'max*min+sum' gives 9099; target=8910 no\n 99,90: 'digitsum2' gives 729; target=8910 no\n 46,12: '+' gives 58; target=552 no\n 46,12: '-' gives 34; target=552 no\n 46,12: '*' gives 552; target=552 MATCH\n 46,12: 'concat' gives 4612; target=552 no\n 46,12: 'rev_concat' gives 1246; target=552 no\n 46,12: 'max*min+sum' gives 610; target=552 no\n 46,12: 'digitsum2' gives 169; target=552 no\nThe only operator consistent with all examples is '*'.\nApply to (18, 68):\n result = 1224\nFinal: \\boxed{1224}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 49,51 -> 5149\n 98,19 -> 1998\n 65,53 -> 5365\nApply to: 10,23\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 49,51: '+' gives 100; target=5149 no\n 49,51: '-' gives 2; target=5149 no\n 49,51: '*' gives 2499; target=5149 no\n 49,51: 'concat' gives 4951; target=5149 no\n 49,51: 'rev_concat' gives 5149; target=5149 MATCH\n 49,51: 'max*min+sum' gives 2599; target=5149 no\n 49,51: 'digitsum2' gives 361; target=5149 no\n 98,19: '+' gives 117; target=1998 no\n 98,19: '-' gives 79; target=1998 no\n 98,19: '*' gives 1862; target=1998 no\n 98,19: 'concat' gives 9819; target=1998 no\n 98,19: 'rev_concat' gives 1998; target=1998 MATCH\n 98,19: 'max*min+sum' gives 1979; target=1998 no\n 98,19: 'digitsum2' gives 729; target=1998 no\n 65,53: '+' gives 118; target=5365 no\n 65,53: '-' gives 12; target=5365 no\n 65,53: '*' gives 3445; target=5365 no\n 65,53: 'concat' gives 6553; target=5365 no\n 65,53: 'rev_concat' gives 5365; target=5365 MATCH\n 65,53: 'max*min+sum' gives 3563; target=5365 no\n 65,53: 'digitsum2' gives 361; target=5365 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (10, 23):\n result = 2310\nFinal: \\boxed{2310}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 25,50 -> 1250\n 83,42 -> 3486\n 99,75 -> 7425\nApply to: 44,67\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 25,50: '+' gives 75; target=1250 no\n 25,50: '-' gives 25; target=1250 no\n 25,50: '*' gives 1250; target=1250 MATCH\n 25,50: 'concat' gives 2550; target=1250 no\n 25,50: 'rev_concat' gives 5025; target=1250 no\n 25,50: 'max*min+sum' gives 1325; target=1250 no\n 25,50: 'digitsum2' gives 144; target=1250 no\n 83,42: '+' gives 125; target=3486 no\n 83,42: '-' gives 41; target=3486 no\n 83,42: '*' gives 3486; target=3486 MATCH\n 83,42: 'concat' gives 8342; target=3486 no\n 83,42: 'rev_concat' gives 4283; target=3486 no\n 83,42: 'max*min+sum' gives 3611; target=3486 no\n 83,42: 'digitsum2' gives 289; target=3486 no\n 99,75: '+' gives 174; target=7425 no\n 99,75: '-' gives 24; target=7425 no\n 99,75: '*' gives 7425; target=7425 MATCH\n 99,75: 'concat' gives 9975; target=7425 no\n 99,75: 'rev_concat' gives 7599; target=7425 no\n 99,75: 'max*min+sum' gives 7599; target=7425 no\n 99,75: 'digitsum2' gives 900; target=7425 no\nThe only operator consistent with all examples is '*'.\nApply to (44, 67):\n result = 2948\nFinal: \\boxed{2948}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n qvaapy qvyp mstxph vxtup\n### Reasoning:\n<|cot_start|>Cipher text: qvaapy qvyp mstxph vxtup\nTry each candidate Wonderland word against each ciphertext word:\n cipher='qvaapy' candidate='alice' length-match=False\n cipher='qvaapy' candidate='rabbit' length-match=True\n cipher='qvaapy' candidate='hatter' length-match=True <- assign\n cipher='qvaapy' candidate='cheshire' length-match=False\n cipher='qvaapy' candidate='queen' length-match=False\n cipher='qvaapy' candidate='tea' length-match=False\n cipher='qvaapy' candidate='cake' length-match=False\n cipher='qvaapy' candidate='garden' length-match=True\n cipher='qvaapy' candidate='mushroom' length-match=False\n cipher='qvaapy' candidate='card' length-match=False\n cipher='qvaapy' candidate='card' length-match=False\n cipher='qvaapy' candidate='wonderland' length-match=False\n cipher='qvaapy' candidate='white' length-match=False\n cipher='qvaapy' candidate='down' length-match=False\n cipher='qvaapy' candidate='smile' length-match=False\n cipher='qvaapy' candidate='smiled' length-match=True\n cipher='qvaapy' candidate='looking' length-match=False\n cipher='qvaapy' candidate='glass' length-match=False\n cipher='qvaapy' candidate='march' length-match=False\n cipher='qvaapy' candidate='hare' length-match=False\n cipher='qvaapy' candidate='dormouse' length-match=False\n cipher='qvyp' candidate='alice' length-match=False\n cipher='qvyp' candidate='rabbit' length-match=False\n cipher='qvyp' candidate='hatter' length-match=False\n cipher='qvyp' candidate='cheshire' length-match=False\n cipher='qvyp' candidate='queen' length-match=False\n cipher='qvyp' candidate='tea' length-match=False\n cipher='qvyp' candidate='cake' length-match=True\n cipher='qvyp' candidate='garden' length-match=False\n cipher='qvyp' candidate='mushroom' length-match=False\n cipher='qvyp' candidate='card' length-match=True\n cipher='qvyp' candidate='card' length-match=True\n cipher='qvyp' candidate='wonderland' length-match=False\n cipher='qvyp' candidate='white' length-match=False\n cipher='qvyp' candidate='down' length-match=True\n cipher='qvyp' candidate='smile' length-match=False\n cipher='qvyp' candidate='smiled' length-match=False\n cipher='qvyp' candidate='looking' length-match=False\n cipher='qvyp' candidate='glass' length-match=False\n cipher='qvyp' candidate='march' length-match=False\n cipher='qvyp' candidate='hare' length-match=True <- assign\n cipher='qvyp' candidate='dormouse' length-match=False\n cipher='mstxph' candidate='alice' length-match=False\n cipher='mstxph' candidate='rabbit' length-match=True\n cipher='mstxph' candidate='hatter' length-match=True\n cipher='mstxph' candidate='cheshire' length-match=False\n cipher='mstxph' candidate='queen' length-match=False\n cipher='mstxph' candidate='tea' length-match=False\n cipher='mstxph' candidate='cake' length-match=False\n cipher='mstxph' candidate='garden' length-match=True\n cipher='mstxph' candidate='mushroom' length-match=False\n cipher='mstxph' candidate='card' length-match=False\n cipher='mstxph' candidate='card' length-match=False\n cipher='mstxph' candidate='wonderland' length-match=False\n cipher='mstxph' candidate='white' length-match=False\n cipher='mstxph' candidate='down' length-match=False\n cipher='mstxph' candidate='smile' length-match=False\n cipher='mstxph' candidate='smiled' length-match=True <- assign\n cipher='mstxph' candidate='looking' length-match=False\n cipher='mstxph' candidate='glass' length-match=False\n cipher='mstxph' candidate='march' length-match=False\n cipher='mstxph' candidate='hare' length-match=False\n cipher='mstxph' candidate='dormouse' length-match=False\n cipher='vxtup' candidate='alice' length-match=True <- assign\n cipher='vxtup' candidate='rabbit' length-match=False\n cipher='vxtup' candidate='hatter' length-match=False\n cipher='vxtup' candidate='cheshire' length-match=False\n cipher='vxtup' candidate='queen' length-match=True\n cipher='vxtup' candidate='tea' length-match=False\n cipher='vxtup' candidate='cake' length-match=False\n cipher='vxtup' candidate='garden' length-match=False\n cipher='vxtup' candidate='mushroom' length-match=False\n cipher='vxtup' candidate='card' length-match=False\n cipher='vxtup' candidate='card' length-match=False\n cipher='vxtup' candidate='wonderland' length-match=False\n cipher='vxtup' candidate='white' length-match=True\n cipher='vxtup' candidate='down' length-match=False\n cipher='vxtup' candidate='smile' length-match=True\n cipher='vxtup' candidate='smiled' length-match=False\n cipher='vxtup' candidate='looking' length-match=False\n cipher='vxtup' candidate='glass' length-match=True\n cipher='vxtup' candidate='march' length-match=True\n cipher='vxtup' candidate='hare' length-match=False\n cipher='vxtup' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n hatter hare smiled alice\nFinal: \\boxed{hatter hare smiled alice}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 29,22 -> 2922\n 78,85 -> 7885\n 87,66 -> 8766\nApply to: 50,32\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 29,22: '+' gives 51; target=2922 no\n 29,22: '-' gives 7; target=2922 no\n 29,22: '*' gives 638; target=2922 no\n 29,22: 'concat' gives 2922; target=2922 MATCH\n 29,22: 'rev_concat' gives 2229; target=2922 no\n 29,22: 'max*min+sum' gives 689; target=2922 no\n 29,22: 'digitsum2' gives 225; target=2922 no\n 78,85: '+' gives 163; target=7885 no\n 78,85: '-' gives 7; target=7885 no\n 78,85: '*' gives 6630; target=7885 no\n 78,85: 'concat' gives 7885; target=7885 MATCH\n 78,85: 'rev_concat' gives 8578; target=7885 no\n 78,85: 'max*min+sum' gives 6793; target=7885 no\n 78,85: 'digitsum2' gives 784; target=7885 no\n 87,66: '+' gives 153; target=8766 no\n 87,66: '-' gives 21; target=8766 no\n 87,66: '*' gives 5742; target=8766 no\n 87,66: 'concat' gives 8766; target=8766 MATCH\n 87,66: 'rev_concat' gives 6687; target=8766 no\n 87,66: 'max*min+sum' gives 5895; target=8766 no\n 87,66: 'digitsum2' gives 729; target=8766 no\nThe only operator consistent with all examples is 'concat'.\nApply to (50, 32):\n result = 5032\nFinal: \\boxed{5032}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 50 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 50 kilograms = 50 * 1000 grams.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 0 * 10^0 * 1000 = 0\n running total = 50000\nFinal: \\boxed{50000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 24,49 -> 4924\n 66,32 -> 3266\n 24,16 -> 1624\nApply to: 68,77\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 24,49: '+' gives 73; target=4924 no\n 24,49: '-' gives 25; target=4924 no\n 24,49: '*' gives 1176; target=4924 no\n 24,49: 'concat' gives 2449; target=4924 no\n 24,49: 'rev_concat' gives 4924; target=4924 MATCH\n 24,49: 'max*min+sum' gives 1249; target=4924 no\n 24,49: 'digitsum2' gives 361; target=4924 no\n 66,32: '+' gives 98; target=3266 no\n 66,32: '-' gives 34; target=3266 no\n 66,32: '*' gives 2112; target=3266 no\n 66,32: 'concat' gives 6632; target=3266 no\n 66,32: 'rev_concat' gives 3266; target=3266 MATCH\n 66,32: 'max*min+sum' gives 2210; target=3266 no\n 66,32: 'digitsum2' gives 289; target=3266 no\n 24,16: '+' gives 40; target=1624 no\n 24,16: '-' gives 8; target=1624 no\n 24,16: '*' gives 384; target=1624 no\n 24,16: 'concat' gives 2416; target=1624 no\n 24,16: 'rev_concat' gives 1624; target=1624 MATCH\n 24,16: 'max*min+sum' gives 424; target=1624 no\n 24,16: 'digitsum2' gives 169; target=1624 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (68, 77):\n result = 7768\nFinal: \\boxed{7768}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n IX = 9 -> 60 + 9 = 69\nFinal: \\boxed{69}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 21 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 21 metres = 21 * 100 centimetres.\nCompute step by step:\n 2 * 10^1 * 100 = 2000\n running total = 2000\n 1 * 10^0 * 100 = 100\n running total = 2100\nFinal: \\boxed{2100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 24,23 -> 2423\n 89,80 -> 8980\n 34,37 -> 3437\nApply to: 51,92\n### Reasoning:\n<|cot_start|>Examples:\n 24,23 -> 2423\n 89,80 -> 8980\n 34,37 -> 3437\nCheck both candidate forms:\n concat(24,23)=2423 rev_concat(24,23)=2324 target=2423 concat\n concat(89,80)=8980 rev_concat(89,80)=8089 target=8980 concat\n concat(34,37)=3437 rev_concat(34,37)=3734 target=3437 concat\nConclude operator: concat.\nApply to (51, 92): answer = 5192\nFinal: \\boxed{5192}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 2 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 2 * 981.\nStep-by-step multiplication:\n 2 * 10^0 * 981 = 1962\n running total = 1962\nSo F = 1962 centiNewtons = 19.62 N.\nFinal: \\boxed{19.62}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01011011 -> 10110110\n 00000101 -> 00001010\n 11011111 -> 10111111\nApply to: 11011100\n### Reasoning:\n<|cot_start|>Given examples:\n 01011011 -> 10110110\n 00000101 -> 00001010\n 11011111 -> 10111111\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,0,1\n bit 1: 1,0,1 -> 0,0,0\n bit 2: 0,0,0 -> 1,0,1\n bit 3: 1,0,1 -> 1,0,1\n bit 4: 1,0,1 -> 0,1,1\n bit 5: 0,1,1 -> 1,0,1\n bit 6: 1,0,1 -> 1,1,1\n bit 7: 1,1,1 -> 0,0,1\nDeduce rule: rotate left 1.\nApply to 11011100:\n result = 10111001\nFinal: \\boxed{10111001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 24,17 -> 196\n 51,49 -> 361\n 95,34 -> 441\nApply to: 18,96\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 24,17: '+' gives 41; target=196 no\n 24,17: '-' gives 7; target=196 no\n 24,17: '*' gives 408; target=196 no\n 24,17: 'concat' gives 2417; target=196 no\n 24,17: 'rev_concat' gives 1724; target=196 no\n 24,17: 'max*min+sum' gives 449; target=196 no\n 24,17: 'digitsum2' gives 196; target=196 MATCH\n 51,49: '+' gives 100; target=361 no\n 51,49: '-' gives 2; target=361 no\n 51,49: '*' gives 2499; target=361 no\n 51,49: 'concat' gives 5149; target=361 no\n 51,49: 'rev_concat' gives 4951; target=361 no\n 51,49: 'max*min+sum' gives 2599; target=361 no\n 51,49: 'digitsum2' gives 361; target=361 MATCH\n 95,34: '+' gives 129; target=441 no\n 95,34: '-' gives 61; target=441 no\n 95,34: '*' gives 3230; target=441 no\n 95,34: 'concat' gives 9534; target=441 no\n 95,34: 'rev_concat' gives 3495; target=441 no\n 95,34: 'max*min+sum' gives 3359; target=441 no\n 95,34: 'digitsum2' gives 441; target=441 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (18, 96):\n result = 576\nFinal: \\boxed{576}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10011110 -> 01111001\n 10100101 -> 10100101\n 01100010 -> 01000110\nApply to: 10101001\n### Reasoning:\n<|cot_start|>Given examples:\n 10011110 -> 01111001\n 10100101 -> 10100101\n 01100010 -> 01000110\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 0,1,0\n bit 1: 0,0,1 -> 1,0,1\n bit 2: 0,1,1 -> 1,1,0\n bit 3: 1,0,0 -> 1,0,0\n bit 4: 1,0,0 -> 1,0,0\n bit 5: 1,1,0 -> 0,1,1\n bit 6: 1,0,1 -> 0,0,1\n bit 7: 0,1,0 -> 1,1,0\nDeduce rule: reverse bits.\nApply to 10101001:\n result = 10010101\nFinal: \\boxed{10010101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 22 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 22 days = 22 * 24 hours.\nCompute step by step:\n 2 * 10^1 * 24 = 480\n running total = 480\n 2 * 10^0 * 24 = 48\n running total = 528\nFinal: \\boxed{528}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 78,92 -> 676\n 27,63 -> 324\n 53,26 -> 256\nApply to: 98,81\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 78,92: '+' gives 170; target=676 no\n 78,92: '-' gives 14; target=676 no\n 78,92: '*' gives 7176; target=676 no\n 78,92: 'concat' gives 7892; target=676 no\n 78,92: 'rev_concat' gives 9278; target=676 no\n 78,92: 'max*min+sum' gives 7346; target=676 no\n 78,92: 'digitsum2' gives 676; target=676 MATCH\n 27,63: '+' gives 90; target=324 no\n 27,63: '-' gives 36; target=324 no\n 27,63: '*' gives 1701; target=324 no\n 27,63: 'concat' gives 2763; target=324 no\n 27,63: 'rev_concat' gives 6327; target=324 no\n 27,63: 'max*min+sum' gives 1791; target=324 no\n 27,63: 'digitsum2' gives 324; target=324 MATCH\n 53,26: '+' gives 79; target=256 no\n 53,26: '-' gives 27; target=256 no\n 53,26: '*' gives 1378; target=256 no\n 53,26: 'concat' gives 5326; target=256 no\n 53,26: 'rev_concat' gives 2653; target=256 no\n 53,26: 'max*min+sum' gives 1457; target=256 no\n 53,26: 'digitsum2' gives 256; target=256 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (98, 81):\n result = 676\nFinal: \\boxed{676}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 93,31 -> 9331\n 14,31 -> 1431\n 93,11 -> 9311\nApply to: 76,61\n### Reasoning:\n<|cot_start|>Examples:\n 93,31 -> 9331\n 14,31 -> 1431\n 93,11 -> 9311\nCheck both candidate forms:\n concat(93,31)=9331 rev_concat(93,31)=3193 target=9331 concat\n concat(14,31)=1431 rev_concat(14,31)=3114 target=1431 concat\n concat(93,11)=9311 rev_concat(93,11)=1193 target=9311 concat\nConclude operator: concat.\nApply to (76, 61): answer = 7661\nFinal: \\boxed{7661}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 90,50 -> 9050\n 19,54 -> 1954\n 12,67 -> 1267\nApply to: 89,32\n### Reasoning:\n<|cot_start|>Examples:\n 90,50 -> 9050\n 19,54 -> 1954\n 12,67 -> 1267\nCheck both candidate forms:\n concat(90,50)=9050 rev_concat(90,50)=5090 target=9050 concat\n concat(19,54)=1954 rev_concat(19,54)=5419 target=1954 concat\n concat(12,67)=1267 rev_concat(12,67)=6712 target=1267 concat\nConclude operator: concat.\nApply to (89, 32): answer = 8932\nFinal: \\boxed{8932}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 90 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 90 days = 90 * 24 hours.\nCompute step by step:\n 9 * 10^1 * 24 = 2160\n running total = 2160\n 0 * 10^0 * 24 = 0\n running total = 2160\nFinal: \\boxed{2160}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 11 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 11 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 1 * 10^0 * 981 = 981\n running total = 10791\nSo F = 10791 centiNewtons = 107.91 N.\nFinal: \\boxed{107.91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 7 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 7 * 981.\nStep-by-step multiplication:\n 7 * 10^0 * 981 = 6867\n running total = 6867\nSo F = 6867 centiNewtons = 68.67 N.\nFinal: \\boxed{68.67}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 84,29 -> 8429\n 20,27 -> 2027\n 29,80 -> 2980\nApply to: 33,62\n### Reasoning:\n<|cot_start|>Examples:\n 84,29 -> 8429\n 20,27 -> 2027\n 29,80 -> 2980\nCheck both candidate forms:\n concat(84,29)=8429 rev_concat(84,29)=2984 target=8429 concat\n concat(20,27)=2027 rev_concat(20,27)=2720 target=2027 concat\n concat(29,80)=2980 rev_concat(29,80)=8029 target=2980 concat\nConclude operator: concat.\nApply to (33, 62): answer = 3362\nFinal: \\boxed{3362}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 91 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 91 days = 91 * 24 hours.\nCompute step by step:\n 9 * 10^1 * 24 = 2160\n running total = 2160\n 1 * 10^0 * 24 = 24\n running total = 2184\nFinal: \\boxed{2184}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 32,18 -> 1832\n 24,60 -> 6024\n 39,47 -> 4739\nApply to: 90,23\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 32,18: '+' gives 50; target=1832 no\n 32,18: '-' gives 14; target=1832 no\n 32,18: '*' gives 576; target=1832 no\n 32,18: 'concat' gives 3218; target=1832 no\n 32,18: 'rev_concat' gives 1832; target=1832 MATCH\n 32,18: 'max*min+sum' gives 626; target=1832 no\n 32,18: 'digitsum2' gives 196; target=1832 no\n 24,60: '+' gives 84; target=6024 no\n 24,60: '-' gives 36; target=6024 no\n 24,60: '*' gives 1440; target=6024 no\n 24,60: 'concat' gives 2460; target=6024 no\n 24,60: 'rev_concat' gives 6024; target=6024 MATCH\n 24,60: 'max*min+sum' gives 1524; target=6024 no\n 24,60: 'digitsum2' gives 144; target=6024 no\n 39,47: '+' gives 86; target=4739 no\n 39,47: '-' gives 8; target=4739 no\n 39,47: '*' gives 1833; target=4739 no\n 39,47: 'concat' gives 3947; target=4739 no\n 39,47: 'rev_concat' gives 4739; target=4739 MATCH\n 39,47: 'max*min+sum' gives 1919; target=4739 no\n 39,47: 'digitsum2' gives 529; target=4739 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (90, 23):\n result = 2390\nFinal: \\boxed{2390}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 18 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 18 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 8 * 10^0 * 981 = 7848\n running total = 17658\nSo F = 17658 centiNewtons = 176.58 N.\nFinal: \\boxed{176.58}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 72,75 -> 5400\n 41,65 -> 2665\n 29,86 -> 2494\nApply to: 86,33\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 72,75: '+' gives 147; target=5400 no\n 72,75: '-' gives 3; target=5400 no\n 72,75: '*' gives 5400; target=5400 MATCH\n 72,75: 'concat' gives 7275; target=5400 no\n 72,75: 'rev_concat' gives 7572; target=5400 no\n 72,75: 'max*min+sum' gives 5547; target=5400 no\n 72,75: 'digitsum2' gives 441; target=5400 no\n 41,65: '+' gives 106; target=2665 no\n 41,65: '-' gives 24; target=2665 no\n 41,65: '*' gives 2665; target=2665 MATCH\n 41,65: 'concat' gives 4165; target=2665 no\n 41,65: 'rev_concat' gives 6541; target=2665 no\n 41,65: 'max*min+sum' gives 2771; target=2665 no\n 41,65: 'digitsum2' gives 256; target=2665 no\n 29,86: '+' gives 115; target=2494 no\n 29,86: '-' gives 57; target=2494 no\n 29,86: '*' gives 2494; target=2494 MATCH\n 29,86: 'concat' gives 2986; target=2494 no\n 29,86: 'rev_concat' gives 8629; target=2494 no\n 29,86: 'max*min+sum' gives 2609; target=2494 no\n 29,86: 'digitsum2' gives 625; target=2494 no\nThe only operator consistent with all examples is '*'.\nApply to (86, 33):\n result = 2838\nFinal: \\boxed{2838}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n I = 1 -> 40 + 1 = 41\nFinal: \\boxed{41}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n artten supkueap ydacdlkp sray\n### Reasoning:\n<|cot_start|>Cipher text: artten supkueap ydacdlkp sray\nTry each candidate Wonderland word against each ciphertext word:\n cipher='artten' candidate='alice' length-match=False\n cipher='artten' candidate='rabbit' length-match=True <- assign\n cipher='artten' candidate='hatter' length-match=True\n cipher='artten' candidate='cheshire' length-match=False\n cipher='artten' candidate='queen' length-match=False\n cipher='artten' candidate='tea' length-match=False\n cipher='artten' candidate='cake' length-match=False\n cipher='artten' candidate='garden' length-match=True\n cipher='artten' candidate='mushroom' length-match=False\n cipher='artten' candidate='card' length-match=False\n cipher='artten' candidate='card' length-match=False\n cipher='artten' candidate='wonderland' length-match=False\n cipher='artten' candidate='white' length-match=False\n cipher='artten' candidate='down' length-match=False\n cipher='artten' candidate='smile' length-match=False\n cipher='artten' candidate='smiled' length-match=True\n cipher='artten' candidate='looking' length-match=False\n cipher='artten' candidate='glass' length-match=False\n cipher='artten' candidate='march' length-match=False\n cipher='artten' candidate='hare' length-match=False\n cipher='artten' candidate='dormouse' length-match=False\n cipher='supkueap' candidate='alice' length-match=False\n cipher='supkueap' candidate='rabbit' length-match=False\n cipher='supkueap' candidate='hatter' length-match=False\n cipher='supkueap' candidate='cheshire' length-match=True <- assign\n cipher='supkueap' candidate='queen' length-match=False\n cipher='supkueap' candidate='tea' length-match=False\n cipher='supkueap' candidate='cake' length-match=False\n cipher='supkueap' candidate='garden' length-match=False\n cipher='supkueap' candidate='mushroom' length-match=True\n cipher='supkueap' candidate='card' length-match=False\n cipher='supkueap' candidate='card' length-match=False\n cipher='supkueap' candidate='wonderland' length-match=False\n cipher='supkueap' candidate='white' length-match=False\n cipher='supkueap' candidate='down' length-match=False\n cipher='supkueap' candidate='smile' length-match=False\n cipher='supkueap' candidate='smiled' length-match=False\n cipher='supkueap' candidate='looking' length-match=False\n cipher='supkueap' candidate='glass' length-match=False\n cipher='supkueap' candidate='march' length-match=False\n cipher='supkueap' candidate='hare' length-match=False\n cipher='supkueap' candidate='dormouse' length-match=True\n cipher='ydacdlkp' candidate='alice' length-match=False\n cipher='ydacdlkp' candidate='rabbit' length-match=False\n cipher='ydacdlkp' candidate='hatter' length-match=False\n cipher='ydacdlkp' candidate='cheshire' length-match=True\n cipher='ydacdlkp' candidate='queen' length-match=False\n cipher='ydacdlkp' candidate='tea' length-match=False\n cipher='ydacdlkp' candidate='cake' length-match=False\n cipher='ydacdlkp' candidate='garden' length-match=False\n cipher='ydacdlkp' candidate='mushroom' length-match=True\n cipher='ydacdlkp' candidate='card' length-match=False\n cipher='ydacdlkp' candidate='card' length-match=False\n cipher='ydacdlkp' candidate='wonderland' length-match=False\n cipher='ydacdlkp' candidate='white' length-match=False\n cipher='ydacdlkp' candidate='down' length-match=False\n cipher='ydacdlkp' candidate='smile' length-match=False\n cipher='ydacdlkp' candidate='smiled' length-match=False\n cipher='ydacdlkp' candidate='looking' length-match=False\n cipher='ydacdlkp' candidate='glass' length-match=False\n cipher='ydacdlkp' candidate='march' length-match=False\n cipher='ydacdlkp' candidate='hare' length-match=False\n cipher='ydacdlkp' candidate='dormouse' length-match=True <- assign\n cipher='sray' candidate='alice' length-match=False\n cipher='sray' candidate='rabbit' length-match=False\n cipher='sray' candidate='hatter' length-match=False\n cipher='sray' candidate='cheshire' length-match=False\n cipher='sray' candidate='queen' length-match=False\n cipher='sray' candidate='tea' length-match=False\n cipher='sray' candidate='cake' length-match=True\n cipher='sray' candidate='garden' length-match=False\n cipher='sray' candidate='mushroom' length-match=False\n cipher='sray' candidate='card' length-match=True <- assign\n cipher='sray' candidate='card' length-match=True <- assign\n cipher='sray' candidate='wonderland' length-match=False\n cipher='sray' candidate='white' length-match=False\n cipher='sray' candidate='down' length-match=True\n cipher='sray' candidate='smile' length-match=False\n cipher='sray' candidate='smiled' length-match=False\n cipher='sray' candidate='looking' length-match=False\n cipher='sray' candidate='glass' length-match=False\n cipher='sray' candidate='march' length-match=False\n cipher='sray' candidate='hare' length-match=True\n cipher='sray' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n rabbit cheshire dormouse card\nFinal: \\boxed{rabbit cheshire dormouse card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n I = 1 -> 50 + 1 = 51\n I = 1 -> 51 + 1 = 52\nFinal: \\boxed{52}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 43,99 -> 4257\n 18,67 -> 1206\n 26,14 -> 364\nApply to: 95,22\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 43,99: '+' gives 142; target=4257 no\n 43,99: '-' gives 56; target=4257 no\n 43,99: '*' gives 4257; target=4257 MATCH\n 43,99: 'concat' gives 4399; target=4257 no\n 43,99: 'rev_concat' gives 9943; target=4257 no\n 43,99: 'max*min+sum' gives 4399; target=4257 no\n 43,99: 'digitsum2' gives 625; target=4257 no\n 18,67: '+' gives 85; target=1206 no\n 18,67: '-' gives 49; target=1206 no\n 18,67: '*' gives 1206; target=1206 MATCH\n 18,67: 'concat' gives 1867; target=1206 no\n 18,67: 'rev_concat' gives 6718; target=1206 no\n 18,67: 'max*min+sum' gives 1291; target=1206 no\n 18,67: 'digitsum2' gives 484; target=1206 no\n 26,14: '+' gives 40; target=364 no\n 26,14: '-' gives 12; target=364 no\n 26,14: '*' gives 364; target=364 MATCH\n 26,14: 'concat' gives 2614; target=364 no\n 26,14: 'rev_concat' gives 1426; target=364 no\n 26,14: 'max*min+sum' gives 404; target=364 no\n 26,14: 'digitsum2' gives 169; target=364 no\nThe only operator consistent with all examples is '*'.\nApply to (95, 22):\n result = 2090\nFinal: \\boxed{2090}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 7 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 7 * 981.\nStep-by-step multiplication:\n 7 * 10^0 * 981 = 6867\n running total = 6867\nSo F = 6867 centiNewtons = 68.67 N.\nFinal: \\boxed{68.67}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 15 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 15 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 5 * 10^0 * 981 = 4905\n running total = 14715\nSo F = 14715 centiNewtons = 147.15 N.\nFinal: \\boxed{147.15}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 39,10 -> 3910\n 38,87 -> 3887\n 59,27 -> 5927\nApply to: 42,91\n### Reasoning:\n<|cot_start|>Examples:\n 39,10 -> 3910\n 38,87 -> 3887\n 59,27 -> 5927\nCheck both candidate forms:\n concat(39,10)=3910 rev_concat(39,10)=1039 target=3910 concat\n concat(38,87)=3887 rev_concat(38,87)=8738 target=3887 concat\n concat(59,27)=5927 rev_concat(59,27)=2759 target=5927 concat\nConclude operator: concat.\nApply to (42, 91): answer = 4291\nFinal: \\boxed{4291}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 20 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 20 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 0 * 10^0 * 981 = 0\n running total = 19620\nSo F = 19620 centiNewtons = 196.20 N.\nFinal: \\boxed{196.20}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n I = 1 -> 30 + 1 = 31\n I = 1 -> 31 + 1 = 32\nFinal: \\boxed{32}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 29 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 29 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 9 * 10^0 * 981 = 8829\n running total = 28449\nSo F = 28449 centiNewtons = 284.49 N.\nFinal: \\boxed{284.49}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n I = 1 -> 90 + 1 = 91\nFinal: \\boxed{91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01110111 -> 11101110\n 10010001 -> 10001001\n 10110001 -> 10001101\nApply to: 10100000\n### Reasoning:\n<|cot_start|>Given examples:\n 01110111 -> 11101110\n 10010001 -> 10001001\n 10110001 -> 10001101\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 1,1,1\n bit 1: 1,0,0 -> 1,0,0\n bit 2: 1,0,1 -> 1,0,0\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 0,0,0 -> 1,1,1\n bit 5: 1,0,0 -> 1,0,1\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 1,1,1 -> 0,1,1\nDeduce rule: reverse bits.\nApply to 10100000:\n result = 00000101\nFinal: \\boxed{00000101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01010110 -> 00000110\n 00110100 -> 00000100\n 01000110 -> 00000110\nApply to: 10111110\n### Reasoning:\n<|cot_start|>Given examples:\n 01010110 -> 00000110\n 00110100 -> 00000100\n 01000110 -> 00000110\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,0,0\n bit 1: 1,0,1 -> 0,0,0\n bit 2: 0,1,0 -> 0,0,0\n bit 3: 1,1,0 -> 0,0,0\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 1,1,1 -> 1,1,1\n bit 6: 1,0,1 -> 1,0,1\n bit 7: 0,0,0 -> 0,0,0\nDeduce rule: and 0x0F.\nApply to 10111110:\n result = 00001110\nFinal: \\boxed{00001110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 68,86 -> 8668\n 64,94 -> 9464\n 85,41 -> 4185\nApply to: 10,56\n### Reasoning:\n<|cot_start|>Examples:\n 68,86 -> 8668\n 64,94 -> 9464\n 85,41 -> 4185\nCheck both candidate forms:\n concat(68,86)=6886 rev_concat(68,86)=8668 target=8668 rev_concat\n concat(64,94)=6494 rev_concat(64,94)=9464 target=9464 rev_concat\n concat(85,41)=8541 rev_concat(85,41)=4185 target=4185 rev_concat\nConclude operator: rev_concat.\nApply to (10, 56): answer = 5610\nFinal: \\boxed{5610}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 22,52 -> 5222\n 32,47 -> 4732\n 23,67 -> 6723\nApply to: 67,35\n### Reasoning:\n<|cot_start|>Examples:\n 22,52 -> 5222\n 32,47 -> 4732\n 23,67 -> 6723\nCheck both candidate forms:\n concat(22,52)=2252 rev_concat(22,52)=5222 target=5222 rev_concat\n concat(32,47)=3247 rev_concat(32,47)=4732 target=4732 rev_concat\n concat(23,67)=2367 rev_concat(23,67)=6723 target=6723 rev_concat\nConclude operator: rev_concat.\nApply to (67, 35): answer = 3567\nFinal: \\boxed{3567}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n jhpua owpha kjma sgmwgtoa\n### Reasoning:\n<|cot_start|>Cipher text: jhpua owpha kjma sgmwgtoa\nTry each candidate Wonderland word against each ciphertext word:\n cipher='jhpua' candidate='alice' length-match=True <- assign\n cipher='jhpua' candidate='rabbit' length-match=False\n cipher='jhpua' candidate='hatter' length-match=False\n cipher='jhpua' candidate='cheshire' length-match=False\n cipher='jhpua' candidate='queen' length-match=True\n cipher='jhpua' candidate='tea' length-match=False\n cipher='jhpua' candidate='cake' length-match=False\n cipher='jhpua' candidate='garden' length-match=False\n cipher='jhpua' candidate='mushroom' length-match=False\n cipher='jhpua' candidate='card' length-match=False\n cipher='jhpua' candidate='card' length-match=False\n cipher='jhpua' candidate='wonderland' length-match=False\n cipher='jhpua' candidate='white' length-match=True\n cipher='jhpua' candidate='down' length-match=False\n cipher='jhpua' candidate='smile' length-match=True\n cipher='jhpua' candidate='smiled' length-match=False\n cipher='jhpua' candidate='looking' length-match=False\n cipher='jhpua' candidate='glass' length-match=True\n cipher='jhpua' candidate='march' length-match=True\n cipher='jhpua' candidate='hare' length-match=False\n cipher='jhpua' candidate='dormouse' length-match=False\n cipher='owpha' candidate='alice' length-match=True\n cipher='owpha' candidate='rabbit' length-match=False\n cipher='owpha' candidate='hatter' length-match=False\n cipher='owpha' candidate='cheshire' length-match=False\n cipher='owpha' candidate='queen' length-match=True\n cipher='owpha' candidate='tea' length-match=False\n cipher='owpha' candidate='cake' length-match=False\n cipher='owpha' candidate='garden' length-match=False\n cipher='owpha' candidate='mushroom' length-match=False\n cipher='owpha' candidate='card' length-match=False\n cipher='owpha' candidate='card' length-match=False\n cipher='owpha' candidate='wonderland' length-match=False\n cipher='owpha' candidate='white' length-match=True\n cipher='owpha' candidate='down' length-match=False\n cipher='owpha' candidate='smile' length-match=True <- assign\n cipher='owpha' candidate='smiled' length-match=False\n cipher='owpha' candidate='looking' length-match=False\n cipher='owpha' candidate='glass' length-match=True\n cipher='owpha' candidate='march' length-match=True\n cipher='owpha' candidate='hare' length-match=False\n cipher='owpha' candidate='dormouse' length-match=False\n cipher='kjma' candidate='alice' length-match=False\n cipher='kjma' candidate='rabbit' length-match=False\n cipher='kjma' candidate='hatter' length-match=False\n cipher='kjma' candidate='cheshire' length-match=False\n cipher='kjma' candidate='queen' length-match=False\n cipher='kjma' candidate='tea' length-match=False\n cipher='kjma' candidate='cake' length-match=True\n cipher='kjma' candidate='garden' length-match=False\n cipher='kjma' candidate='mushroom' length-match=False\n cipher='kjma' candidate='card' length-match=True\n cipher='kjma' candidate='card' length-match=True\n cipher='kjma' candidate='wonderland' length-match=False\n cipher='kjma' candidate='white' length-match=False\n cipher='kjma' candidate='down' length-match=True\n cipher='kjma' candidate='smile' length-match=False\n cipher='kjma' candidate='smiled' length-match=False\n cipher='kjma' candidate='looking' length-match=False\n cipher='kjma' candidate='glass' length-match=False\n cipher='kjma' candidate='march' length-match=False\n cipher='kjma' candidate='hare' length-match=True <- assign\n cipher='kjma' candidate='dormouse' length-match=False\n cipher='sgmwgtoa' candidate='alice' length-match=False\n cipher='sgmwgtoa' candidate='rabbit' length-match=False\n cipher='sgmwgtoa' candidate='hatter' length-match=False\n cipher='sgmwgtoa' candidate='cheshire' length-match=True\n cipher='sgmwgtoa' candidate='queen' length-match=False\n cipher='sgmwgtoa' candidate='tea' length-match=False\n cipher='sgmwgtoa' candidate='cake' length-match=False\n cipher='sgmwgtoa' candidate='garden' length-match=False\n cipher='sgmwgtoa' candidate='mushroom' length-match=True\n cipher='sgmwgtoa' candidate='card' length-match=False\n cipher='sgmwgtoa' candidate='card' length-match=False\n cipher='sgmwgtoa' candidate='wonderland' length-match=False\n cipher='sgmwgtoa' candidate='white' length-match=False\n cipher='sgmwgtoa' candidate='down' length-match=False\n cipher='sgmwgtoa' candidate='smile' length-match=False\n cipher='sgmwgtoa' candidate='smiled' length-match=False\n cipher='sgmwgtoa' candidate='looking' length-match=False\n cipher='sgmwgtoa' candidate='glass' length-match=False\n cipher='sgmwgtoa' candidate='march' length-match=False\n cipher='sgmwgtoa' candidate='hare' length-match=False\n cipher='sgmwgtoa' candidate='dormouse' length-match=True <- assign\nAssemble the decoded sentence:\n alice smile hare dormouse\nFinal: \\boxed{alice smile hare dormouse}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 21,36 -> 3621\n 15,91 -> 9115\n 61,43 -> 4361\nApply to: 75,53\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 21,36: '+' gives 57; target=3621 no\n 21,36: '-' gives 15; target=3621 no\n 21,36: '*' gives 756; target=3621 no\n 21,36: 'concat' gives 2136; target=3621 no\n 21,36: 'rev_concat' gives 3621; target=3621 MATCH\n 21,36: 'max*min+sum' gives 813; target=3621 no\n 21,36: 'digitsum2' gives 144; target=3621 no\n 15,91: '+' gives 106; target=9115 no\n 15,91: '-' gives 76; target=9115 no\n 15,91: '*' gives 1365; target=9115 no\n 15,91: 'concat' gives 1591; target=9115 no\n 15,91: 'rev_concat' gives 9115; target=9115 MATCH\n 15,91: 'max*min+sum' gives 1471; target=9115 no\n 15,91: 'digitsum2' gives 256; target=9115 no\n 61,43: '+' gives 104; target=4361 no\n 61,43: '-' gives 18; target=4361 no\n 61,43: '*' gives 2623; target=4361 no\n 61,43: 'concat' gives 6143; target=4361 no\n 61,43: 'rev_concat' gives 4361; target=4361 MATCH\n 61,43: 'max*min+sum' gives 2727; target=4361 no\n 61,43: 'digitsum2' gives 196; target=4361 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (75, 53):\n result = 5375\nFinal: \\boxed{5375}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n bvl glcwvi galxx fdiwvcaliw\n### Reasoning:\n<|cot_start|>Cipher text: bvl glcwvi galxx fdiwvcaliw\nTry each candidate Wonderland word against each ciphertext word:\n cipher='bvl' candidate='alice' length-match=False\n cipher='bvl' candidate='rabbit' length-match=False\n cipher='bvl' candidate='hatter' length-match=False\n cipher='bvl' candidate='cheshire' length-match=False\n cipher='bvl' candidate='queen' length-match=False\n cipher='bvl' candidate='tea' length-match=True <- assign\n cipher='bvl' candidate='cake' length-match=False\n cipher='bvl' candidate='garden' length-match=False\n cipher='bvl' candidate='mushroom' length-match=False\n cipher='bvl' candidate='card' length-match=False\n cipher='bvl' candidate='card' length-match=False\n cipher='bvl' candidate='wonderland' length-match=False\n cipher='bvl' candidate='white' length-match=False\n cipher='bvl' candidate='down' length-match=False\n cipher='bvl' candidate='smile' length-match=False\n cipher='bvl' candidate='smiled' length-match=False\n cipher='bvl' candidate='looking' length-match=False\n cipher='bvl' candidate='glass' length-match=False\n cipher='bvl' candidate='march' length-match=False\n cipher='bvl' candidate='hare' length-match=False\n cipher='bvl' candidate='dormouse' length-match=False\n cipher='glcwvi' candidate='alice' length-match=False\n cipher='glcwvi' candidate='rabbit' length-match=True\n cipher='glcwvi' candidate='hatter' length-match=True\n cipher='glcwvi' candidate='cheshire' length-match=False\n cipher='glcwvi' candidate='queen' length-match=False\n cipher='glcwvi' candidate='tea' length-match=False\n cipher='glcwvi' candidate='cake' length-match=False\n cipher='glcwvi' candidate='garden' length-match=True <- assign\n cipher='glcwvi' candidate='mushroom' length-match=False\n cipher='glcwvi' candidate='card' length-match=False\n cipher='glcwvi' candidate='card' length-match=False\n cipher='glcwvi' candidate='wonderland' length-match=False\n cipher='glcwvi' candidate='white' length-match=False\n cipher='glcwvi' candidate='down' length-match=False\n cipher='glcwvi' candidate='smile' length-match=False\n cipher='glcwvi' candidate='smiled' length-match=True\n cipher='glcwvi' candidate='looking' length-match=False\n cipher='glcwvi' candidate='glass' length-match=False\n cipher='glcwvi' candidate='march' length-match=False\n cipher='glcwvi' candidate='hare' length-match=False\n cipher='glcwvi' candidate='dormouse' length-match=False\n cipher='galxx' candidate='alice' length-match=True\n cipher='galxx' candidate='rabbit' length-match=False\n cipher='galxx' candidate='hatter' length-match=False\n cipher='galxx' candidate='cheshire' length-match=False\n cipher='galxx' candidate='queen' length-match=True\n cipher='galxx' candidate='tea' length-match=False\n cipher='galxx' candidate='cake' length-match=False\n cipher='galxx' candidate='garden' length-match=False\n cipher='galxx' candidate='mushroom' length-match=False\n cipher='galxx' candidate='card' length-match=False\n cipher='galxx' candidate='card' length-match=False\n cipher='galxx' candidate='wonderland' length-match=False\n cipher='galxx' candidate='white' length-match=True\n cipher='galxx' candidate='down' length-match=False\n cipher='galxx' candidate='smile' length-match=True\n cipher='galxx' candidate='smiled' length-match=False\n cipher='galxx' candidate='looking' length-match=False\n cipher='galxx' candidate='glass' length-match=True <- assign\n cipher='galxx' candidate='march' length-match=True\n cipher='galxx' candidate='hare' length-match=False\n cipher='galxx' candidate='dormouse' length-match=False\n cipher='fdiwvcaliw' candidate='alice' length-match=False\n cipher='fdiwvcaliw' candidate='rabbit' length-match=False\n cipher='fdiwvcaliw' candidate='hatter' length-match=False\n cipher='fdiwvcaliw' candidate='cheshire' length-match=False\n cipher='fdiwvcaliw' candidate='queen' length-match=False\n cipher='fdiwvcaliw' candidate='tea' length-match=False\n cipher='fdiwvcaliw' candidate='cake' length-match=False\n cipher='fdiwvcaliw' candidate='garden' length-match=False\n cipher='fdiwvcaliw' candidate='mushroom' length-match=False\n cipher='fdiwvcaliw' candidate='card' length-match=False\n cipher='fdiwvcaliw' candidate='card' length-match=False\n cipher='fdiwvcaliw' candidate='wonderland' length-match=True <- assign\n cipher='fdiwvcaliw' candidate='white' length-match=False\n cipher='fdiwvcaliw' candidate='down' length-match=False\n cipher='fdiwvcaliw' candidate='smile' length-match=False\n cipher='fdiwvcaliw' candidate='smiled' length-match=False\n cipher='fdiwvcaliw' candidate='looking' length-match=False\n cipher='fdiwvcaliw' candidate='glass' length-match=False\n cipher='fdiwvcaliw' candidate='march' length-match=False\n cipher='fdiwvcaliw' candidate='hare' length-match=False\n cipher='fdiwvcaliw' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n tea garden glass wonderland\nFinal: \\boxed{tea garden glass wonderland}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 9 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 9 * 981.\nStep-by-step multiplication:\n 9 * 10^0 * 981 = 8829\n running total = 8829\nSo F = 8829 centiNewtons = 88.29 N.\nFinal: \\boxed{88.29}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 94,35 -> 441\n 76,47 -> 576\n 83,82 -> 441\nApply to: 21,29\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 94,35: '+' gives 129; target=441 no\n 94,35: '-' gives 59; target=441 no\n 94,35: '*' gives 3290; target=441 no\n 94,35: 'concat' gives 9435; target=441 no\n 94,35: 'rev_concat' gives 3594; target=441 no\n 94,35: 'max*min+sum' gives 3419; target=441 no\n 94,35: 'digitsum2' gives 441; target=441 MATCH\n 76,47: '+' gives 123; target=576 no\n 76,47: '-' gives 29; target=576 no\n 76,47: '*' gives 3572; target=576 no\n 76,47: 'concat' gives 7647; target=576 no\n 76,47: 'rev_concat' gives 4776; target=576 no\n 76,47: 'max*min+sum' gives 3695; target=576 no\n 76,47: 'digitsum2' gives 576; target=576 MATCH\n 83,82: '+' gives 165; target=441 no\n 83,82: '-' gives 1; target=441 no\n 83,82: '*' gives 6806; target=441 no\n 83,82: 'concat' gives 8382; target=441 no\n 83,82: 'rev_concat' gives 8283; target=441 no\n 83,82: 'max*min+sum' gives 6971; target=441 no\n 83,82: 'digitsum2' gives 441; target=441 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (21, 29):\n result = 196\nFinal: \\boxed{196}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 65,10 -> 6510\n 88,39 -> 8839\n 61,88 -> 6188\nApply to: 72,73\n### Reasoning:\n<|cot_start|>Examples:\n 65,10 -> 6510\n 88,39 -> 8839\n 61,88 -> 6188\nCheck both candidate forms:\n concat(65,10)=6510 rev_concat(65,10)=1065 target=6510 concat\n concat(88,39)=8839 rev_concat(88,39)=3988 target=8839 concat\n concat(61,88)=6188 rev_concat(61,88)=8861 target=6188 concat\nConclude operator: concat.\nApply to (72, 73): answer = 7273\nFinal: \\boxed{7273}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 44 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 44 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 4 * 10^0 * 981 = 3924\n running total = 43164\nSo F = 43164 centiNewtons = 431.64 N.\nFinal: \\boxed{431.64}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 47,79 -> 7947\n 13,82 -> 8213\n 16,61 -> 6116\nApply to: 62,77\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 47,79: '+' gives 126; target=7947 no\n 47,79: '-' gives 32; target=7947 no\n 47,79: '*' gives 3713; target=7947 no\n 47,79: 'concat' gives 4779; target=7947 no\n 47,79: 'rev_concat' gives 7947; target=7947 MATCH\n 47,79: 'max*min+sum' gives 3839; target=7947 no\n 47,79: 'digitsum2' gives 729; target=7947 no\n 13,82: '+' gives 95; target=8213 no\n 13,82: '-' gives 69; target=8213 no\n 13,82: '*' gives 1066; target=8213 no\n 13,82: 'concat' gives 1382; target=8213 no\n 13,82: 'rev_concat' gives 8213; target=8213 MATCH\n 13,82: 'max*min+sum' gives 1161; target=8213 no\n 13,82: 'digitsum2' gives 196; target=8213 no\n 16,61: '+' gives 77; target=6116 no\n 16,61: '-' gives 45; target=6116 no\n 16,61: '*' gives 976; target=6116 no\n 16,61: 'concat' gives 1661; target=6116 no\n 16,61: 'rev_concat' gives 6116; target=6116 MATCH\n 16,61: 'max*min+sum' gives 1053; target=6116 no\n 16,61: 'digitsum2' gives 196; target=6116 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (62, 77):\n result = 7762\nFinal: \\boxed{7762}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00111010 -> 11111010\n 01010111 -> 11110111\n 11111110 -> 11111110\nApply to: 01100110\n### Reasoning:\n<|cot_start|>Given examples:\n 00111010 -> 11111010\n 01010111 -> 11110111\n 11111110 -> 11111110\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,1\n bit 1: 0,1,1 -> 1,1,1\n bit 2: 1,0,1 -> 1,1,1\n bit 3: 1,1,1 -> 1,1,1\n bit 4: 1,0,1 -> 1,0,1\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 1,1,1 -> 1,1,1\n bit 7: 0,1,0 -> 0,1,0\nDeduce rule: or 0xF0.\nApply to 01100110:\n result = 11110110\nFinal: \\boxed{11110110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n V = 5 -> 90 + 5 = 95\n I = 1 -> 95 + 1 = 96\n I = 1 -> 96 + 1 = 97\nFinal: \\boxed{97}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 12,96 -> 9612\n 58,50 -> 5058\n 15,77 -> 7715\nApply to: 35,24\n### Reasoning:\n<|cot_start|>Examples:\n 12,96 -> 9612\n 58,50 -> 5058\n 15,77 -> 7715\nCheck both candidate forms:\n concat(12,96)=1296 rev_concat(12,96)=9612 target=9612 rev_concat\n concat(58,50)=5850 rev_concat(58,50)=5058 target=5058 rev_concat\n concat(15,77)=1577 rev_concat(15,77)=7715 target=7715 rev_concat\nConclude operator: rev_concat.\nApply to (35, 24): answer = 2435\nFinal: \\boxed{2435}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 87 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 87 days = 87 * 24 hours.\nCompute step by step:\n 8 * 10^1 * 24 = 1920\n running total = 1920\n 7 * 10^0 * 24 = 168\n running total = 2088\nFinal: \\boxed{2088}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n vlmpg rvoigh zshigolvhi jveego\n### Reasoning:\n<|cot_start|>Cipher text: vlmpg rvoigh zshigolvhi jveego\nTry each candidate Wonderland word against each ciphertext word:\n cipher='vlmpg' candidate='alice' length-match=True <- assign\n cipher='vlmpg' candidate='rabbit' length-match=False\n cipher='vlmpg' candidate='hatter' length-match=False\n cipher='vlmpg' candidate='cheshire' length-match=False\n cipher='vlmpg' candidate='queen' length-match=True\n cipher='vlmpg' candidate='tea' length-match=False\n cipher='vlmpg' candidate='cake' length-match=False\n cipher='vlmpg' candidate='garden' length-match=False\n cipher='vlmpg' candidate='mushroom' length-match=False\n cipher='vlmpg' candidate='card' length-match=False\n cipher='vlmpg' candidate='card' length-match=False\n cipher='vlmpg' candidate='wonderland' length-match=False\n cipher='vlmpg' candidate='white' length-match=True\n cipher='vlmpg' candidate='down' length-match=False\n cipher='vlmpg' candidate='smile' length-match=True\n cipher='vlmpg' candidate='smiled' length-match=False\n cipher='vlmpg' candidate='looking' length-match=False\n cipher='vlmpg' candidate='glass' length-match=True\n cipher='vlmpg' candidate='march' length-match=True\n cipher='vlmpg' candidate='hare' length-match=False\n cipher='vlmpg' candidate='dormouse' length-match=False\n cipher='rvoigh' candidate='alice' length-match=False\n cipher='rvoigh' candidate='rabbit' length-match=True\n cipher='rvoigh' candidate='hatter' length-match=True\n cipher='rvoigh' candidate='cheshire' length-match=False\n cipher='rvoigh' candidate='queen' length-match=False\n cipher='rvoigh' candidate='tea' length-match=False\n cipher='rvoigh' candidate='cake' length-match=False\n cipher='rvoigh' candidate='garden' length-match=True <- assign\n cipher='rvoigh' candidate='mushroom' length-match=False\n cipher='rvoigh' candidate='card' length-match=False\n cipher='rvoigh' candidate='card' length-match=False\n cipher='rvoigh' candidate='wonderland' length-match=False\n cipher='rvoigh' candidate='white' length-match=False\n cipher='rvoigh' candidate='down' length-match=False\n cipher='rvoigh' candidate='smile' length-match=False\n cipher='rvoigh' candidate='smiled' length-match=True\n cipher='rvoigh' candidate='looking' length-match=False\n cipher='rvoigh' candidate='glass' length-match=False\n cipher='rvoigh' candidate='march' length-match=False\n cipher='rvoigh' candidate='hare' length-match=False\n cipher='rvoigh' candidate='dormouse' length-match=False\n cipher='zshigolvhi' candidate='alice' length-match=False\n cipher='zshigolvhi' candidate='rabbit' length-match=False\n cipher='zshigolvhi' candidate='hatter' length-match=False\n cipher='zshigolvhi' candidate='cheshire' length-match=False\n cipher='zshigolvhi' candidate='queen' length-match=False\n cipher='zshigolvhi' candidate='tea' length-match=False\n cipher='zshigolvhi' candidate='cake' length-match=False\n cipher='zshigolvhi' candidate='garden' length-match=False\n cipher='zshigolvhi' candidate='mushroom' length-match=False\n cipher='zshigolvhi' candidate='card' length-match=False\n cipher='zshigolvhi' candidate='card' length-match=False\n cipher='zshigolvhi' candidate='wonderland' length-match=True <- assign\n cipher='zshigolvhi' candidate='white' length-match=False\n cipher='zshigolvhi' candidate='down' length-match=False\n cipher='zshigolvhi' candidate='smile' length-match=False\n cipher='zshigolvhi' candidate='smiled' length-match=False\n cipher='zshigolvhi' candidate='looking' length-match=False\n cipher='zshigolvhi' candidate='glass' length-match=False\n cipher='zshigolvhi' candidate='march' length-match=False\n cipher='zshigolvhi' candidate='hare' length-match=False\n cipher='zshigolvhi' candidate='dormouse' length-match=False\n cipher='jveego' candidate='alice' length-match=False\n cipher='jveego' candidate='rabbit' length-match=True\n cipher='jveego' candidate='hatter' length-match=True <- assign\n cipher='jveego' candidate='cheshire' length-match=False\n cipher='jveego' candidate='queen' length-match=False\n cipher='jveego' candidate='tea' length-match=False\n cipher='jveego' candidate='cake' length-match=False\n cipher='jveego' candidate='garden' length-match=True\n cipher='jveego' candidate='mushroom' length-match=False\n cipher='jveego' candidate='card' length-match=False\n cipher='jveego' candidate='card' length-match=False\n cipher='jveego' candidate='wonderland' length-match=False\n cipher='jveego' candidate='white' length-match=False\n cipher='jveego' candidate='down' length-match=False\n cipher='jveego' candidate='smile' length-match=False\n cipher='jveego' candidate='smiled' length-match=True\n cipher='jveego' candidate='looking' length-match=False\n cipher='jveego' candidate='glass' length-match=False\n cipher='jveego' candidate='march' length-match=False\n cipher='jveego' candidate='hare' length-match=False\n cipher='jveego' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n alice garden wonderland hatter\nFinal: \\boxed{alice garden wonderland hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 57,53 -> 5357\n 21,83 -> 8321\n 96,97 -> 9796\nApply to: 57,56\n### Reasoning:\n<|cot_start|>Examples:\n 57,53 -> 5357\n 21,83 -> 8321\n 96,97 -> 9796\nCheck both candidate forms:\n concat(57,53)=5753 rev_concat(57,53)=5357 target=5357 rev_concat\n concat(21,83)=2183 rev_concat(21,83)=8321 target=8321 rev_concat\n concat(96,97)=9697 rev_concat(96,97)=9796 target=9796 rev_concat\nConclude operator: rev_concat.\nApply to (57, 56): answer = 5657\nFinal: \\boxed{5657}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral L to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\nFinal: \\boxed{50}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11100111 -> 11110111\n 01000011 -> 11110011\n 00110001 -> 11110001\nApply to: 00000111\n### Reasoning:\n<|cot_start|>Given examples:\n 11100111 -> 11110111\n 01000011 -> 11110011\n 00110001 -> 11110001\nCompare each bit position across the three examples:\n bit 0: 1,0,0 -> 1,1,1\n bit 1: 1,1,0 -> 1,1,1\n bit 2: 1,0,1 -> 1,1,1\n bit 3: 0,0,1 -> 1,1,1\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 1,1,0 -> 1,1,0\n bit 7: 1,1,1 -> 1,1,1\nDeduce rule: or 0xF0.\nApply to 00000111:\n result = 11110111\nFinal: \\boxed{11110111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 67,72 -> 7267\n 31,37 -> 3731\n 90,24 -> 2490\nApply to: 79,76\n### Reasoning:\n<|cot_start|>Examples:\n 67,72 -> 7267\n 31,37 -> 3731\n 90,24 -> 2490\nCheck both candidate forms:\n concat(67,72)=6772 rev_concat(67,72)=7267 target=7267 rev_concat\n concat(31,37)=3137 rev_concat(31,37)=3731 target=3731 rev_concat\n concat(90,24)=9024 rev_concat(90,24)=2490 target=2490 rev_concat\nConclude operator: rev_concat.\nApply to (79, 76): answer = 7679\nFinal: \\boxed{7679}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 83,95 -> 9583\n 57,42 -> 4257\n 68,88 -> 8868\nApply to: 46,45\n### Reasoning:\n<|cot_start|>Examples:\n 83,95 -> 9583\n 57,42 -> 4257\n 68,88 -> 8868\nCheck both candidate forms:\n concat(83,95)=8395 rev_concat(83,95)=9583 target=9583 rev_concat\n concat(57,42)=5742 rev_concat(57,42)=4257 target=4257 rev_concat\n concat(68,88)=6888 rev_concat(68,88)=8868 target=8868 rev_concat\nConclude operator: rev_concat.\nApply to (46, 45): answer = 4546\nFinal: \\boxed{4546}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n nolx pmfwy bpkkfc ltfcy\n### Reasoning:\n<|cot_start|>Cipher text: nolx pmfwy bpkkfc ltfcy\nTry each candidate Wonderland word against each ciphertext word:\n cipher='nolx' candidate='alice' length-match=False\n cipher='nolx' candidate='rabbit' length-match=False\n cipher='nolx' candidate='hatter' length-match=False\n cipher='nolx' candidate='cheshire' length-match=False\n cipher='nolx' candidate='queen' length-match=False\n cipher='nolx' candidate='tea' length-match=False\n cipher='nolx' candidate='cake' length-match=True\n cipher='nolx' candidate='garden' length-match=False\n cipher='nolx' candidate='mushroom' length-match=False\n cipher='nolx' candidate='card' length-match=True\n cipher='nolx' candidate='card' length-match=True\n cipher='nolx' candidate='wonderland' length-match=False\n cipher='nolx' candidate='white' length-match=False\n cipher='nolx' candidate='down' length-match=True <- assign\n cipher='nolx' candidate='smile' length-match=False\n cipher='nolx' candidate='smiled' length-match=False\n cipher='nolx' candidate='looking' length-match=False\n cipher='nolx' candidate='glass' length-match=False\n cipher='nolx' candidate='march' length-match=False\n cipher='nolx' candidate='hare' length-match=True\n cipher='nolx' candidate='dormouse' length-match=False\n cipher='pmfwy' candidate='alice' length-match=True <- assign\n cipher='pmfwy' candidate='rabbit' length-match=False\n cipher='pmfwy' candidate='hatter' length-match=False\n cipher='pmfwy' candidate='cheshire' length-match=False\n cipher='pmfwy' candidate='queen' length-match=True\n cipher='pmfwy' candidate='tea' length-match=False\n cipher='pmfwy' candidate='cake' length-match=False\n cipher='pmfwy' candidate='garden' length-match=False\n cipher='pmfwy' candidate='mushroom' length-match=False\n cipher='pmfwy' candidate='card' length-match=False\n cipher='pmfwy' candidate='card' length-match=False\n cipher='pmfwy' candidate='wonderland' length-match=False\n cipher='pmfwy' candidate='white' length-match=True\n cipher='pmfwy' candidate='down' length-match=False\n cipher='pmfwy' candidate='smile' length-match=True\n cipher='pmfwy' candidate='smiled' length-match=False\n cipher='pmfwy' candidate='looking' length-match=False\n cipher='pmfwy' candidate='glass' length-match=True\n cipher='pmfwy' candidate='march' length-match=True\n cipher='pmfwy' candidate='hare' length-match=False\n cipher='pmfwy' candidate='dormouse' length-match=False\n cipher='bpkkfc' candidate='alice' length-match=False\n cipher='bpkkfc' candidate='rabbit' length-match=True <- assign\n cipher='bpkkfc' candidate='hatter' length-match=True\n cipher='bpkkfc' candidate='cheshire' length-match=False\n cipher='bpkkfc' candidate='queen' length-match=False\n cipher='bpkkfc' candidate='tea' length-match=False\n cipher='bpkkfc' candidate='cake' length-match=False\n cipher='bpkkfc' candidate='garden' length-match=True\n cipher='bpkkfc' candidate='mushroom' length-match=False\n cipher='bpkkfc' candidate='card' length-match=False\n cipher='bpkkfc' candidate='card' length-match=False\n cipher='bpkkfc' candidate='wonderland' length-match=False\n cipher='bpkkfc' candidate='white' length-match=False\n cipher='bpkkfc' candidate='down' length-match=False\n cipher='bpkkfc' candidate='smile' length-match=False\n cipher='bpkkfc' candidate='smiled' length-match=True\n cipher='bpkkfc' candidate='looking' length-match=False\n cipher='bpkkfc' candidate='glass' length-match=False\n cipher='bpkkfc' candidate='march' length-match=False\n cipher='bpkkfc' candidate='hare' length-match=False\n cipher='bpkkfc' candidate='dormouse' length-match=False\n cipher='ltfcy' candidate='alice' length-match=True\n cipher='ltfcy' candidate='rabbit' length-match=False\n cipher='ltfcy' candidate='hatter' length-match=False\n cipher='ltfcy' candidate='cheshire' length-match=False\n cipher='ltfcy' candidate='queen' length-match=True\n cipher='ltfcy' candidate='tea' length-match=False\n cipher='ltfcy' candidate='cake' length-match=False\n cipher='ltfcy' candidate='garden' length-match=False\n cipher='ltfcy' candidate='mushroom' length-match=False\n cipher='ltfcy' candidate='card' length-match=False\n cipher='ltfcy' candidate='card' length-match=False\n cipher='ltfcy' candidate='wonderland' length-match=False\n cipher='ltfcy' candidate='white' length-match=True <- assign\n cipher='ltfcy' candidate='down' length-match=False\n cipher='ltfcy' candidate='smile' length-match=True\n cipher='ltfcy' candidate='smiled' length-match=False\n cipher='ltfcy' candidate='looking' length-match=False\n cipher='ltfcy' candidate='glass' length-match=True\n cipher='ltfcy' candidate='march' length-match=True\n cipher='ltfcy' candidate='hare' length-match=False\n cipher='ltfcy' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n down alice rabbit white\nFinal: \\boxed{down alice rabbit white}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n I = 1 -> 90 + 1 = 91\nFinal: \\boxed{91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n bwnua gwncek wqxue nwhhxj\n### Reasoning:\n<|cot_start|>Cipher text: bwnua gwncek wqxue nwhhxj\nTry each candidate Wonderland word against each ciphertext word:\n cipher='bwnua' candidate='alice' length-match=True\n cipher='bwnua' candidate='rabbit' length-match=False\n cipher='bwnua' candidate='hatter' length-match=False\n cipher='bwnua' candidate='cheshire' length-match=False\n cipher='bwnua' candidate='queen' length-match=True\n cipher='bwnua' candidate='tea' length-match=False\n cipher='bwnua' candidate='cake' length-match=False\n cipher='bwnua' candidate='garden' length-match=False\n cipher='bwnua' candidate='mushroom' length-match=False\n cipher='bwnua' candidate='card' length-match=False\n cipher='bwnua' candidate='card' length-match=False\n cipher='bwnua' candidate='wonderland' length-match=False\n cipher='bwnua' candidate='white' length-match=True\n cipher='bwnua' candidate='down' length-match=False\n cipher='bwnua' candidate='smile' length-match=True\n cipher='bwnua' candidate='smiled' length-match=False\n cipher='bwnua' candidate='looking' length-match=False\n cipher='bwnua' candidate='glass' length-match=True\n cipher='bwnua' candidate='march' length-match=True <- assign\n cipher='bwnua' candidate='hare' length-match=False\n cipher='bwnua' candidate='dormouse' length-match=False\n cipher='gwncek' candidate='alice' length-match=False\n cipher='gwncek' candidate='rabbit' length-match=True\n cipher='gwncek' candidate='hatter' length-match=True\n cipher='gwncek' candidate='cheshire' length-match=False\n cipher='gwncek' candidate='queen' length-match=False\n cipher='gwncek' candidate='tea' length-match=False\n cipher='gwncek' candidate='cake' length-match=False\n cipher='gwncek' candidate='garden' length-match=True <- assign\n cipher='gwncek' candidate='mushroom' length-match=False\n cipher='gwncek' candidate='card' length-match=False\n cipher='gwncek' candidate='card' length-match=False\n cipher='gwncek' candidate='wonderland' length-match=False\n cipher='gwncek' candidate='white' length-match=False\n cipher='gwncek' candidate='down' length-match=False\n cipher='gwncek' candidate='smile' length-match=False\n cipher='gwncek' candidate='smiled' length-match=True\n cipher='gwncek' candidate='looking' length-match=False\n cipher='gwncek' candidate='glass' length-match=False\n cipher='gwncek' candidate='march' length-match=False\n cipher='gwncek' candidate='hare' length-match=False\n cipher='gwncek' candidate='dormouse' length-match=False\n cipher='wqxue' candidate='alice' length-match=True <- assign\n cipher='wqxue' candidate='rabbit' length-match=False\n cipher='wqxue' candidate='hatter' length-match=False\n cipher='wqxue' candidate='cheshire' length-match=False\n cipher='wqxue' candidate='queen' length-match=True\n cipher='wqxue' candidate='tea' length-match=False\n cipher='wqxue' candidate='cake' length-match=False\n cipher='wqxue' candidate='garden' length-match=False\n cipher='wqxue' candidate='mushroom' length-match=False\n cipher='wqxue' candidate='card' length-match=False\n cipher='wqxue' candidate='card' length-match=False\n cipher='wqxue' candidate='wonderland' length-match=False\n cipher='wqxue' candidate='white' length-match=True\n cipher='wqxue' candidate='down' length-match=False\n cipher='wqxue' candidate='smile' length-match=True\n cipher='wqxue' candidate='smiled' length-match=False\n cipher='wqxue' candidate='looking' length-match=False\n cipher='wqxue' candidate='glass' length-match=True\n cipher='wqxue' candidate='march' length-match=True\n cipher='wqxue' candidate='hare' length-match=False\n cipher='wqxue' candidate='dormouse' length-match=False\n cipher='nwhhxj' candidate='alice' length-match=False\n cipher='nwhhxj' candidate='rabbit' length-match=True <- assign\n cipher='nwhhxj' candidate='hatter' length-match=True\n cipher='nwhhxj' candidate='cheshire' length-match=False\n cipher='nwhhxj' candidate='queen' length-match=False\n cipher='nwhhxj' candidate='tea' length-match=False\n cipher='nwhhxj' candidate='cake' length-match=False\n cipher='nwhhxj' candidate='garden' length-match=True\n cipher='nwhhxj' candidate='mushroom' length-match=False\n cipher='nwhhxj' candidate='card' length-match=False\n cipher='nwhhxj' candidate='card' length-match=False\n cipher='nwhhxj' candidate='wonderland' length-match=False\n cipher='nwhhxj' candidate='white' length-match=False\n cipher='nwhhxj' candidate='down' length-match=False\n cipher='nwhhxj' candidate='smile' length-match=False\n cipher='nwhhxj' candidate='smiled' length-match=True\n cipher='nwhhxj' candidate='looking' length-match=False\n cipher='nwhhxj' candidate='glass' length-match=False\n cipher='nwhhxj' candidate='march' length-match=False\n cipher='nwhhxj' candidate='hare' length-match=False\n cipher='nwhhxj' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n march garden alice rabbit\nFinal: \\boxed{march garden alice rabbit}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n rbiimn eolqrzze nsb fossj\n### Reasoning:\n<|cot_start|>Cipher text: rbiimn eolqrzze nsb fossj\nTry each candidate Wonderland word against each ciphertext word:\n cipher='rbiimn' candidate='alice' length-match=False\n cipher='rbiimn' candidate='rabbit' length-match=True <- assign\n cipher='rbiimn' candidate='hatter' length-match=True\n cipher='rbiimn' candidate='cheshire' length-match=False\n cipher='rbiimn' candidate='queen' length-match=False\n cipher='rbiimn' candidate='tea' length-match=False\n cipher='rbiimn' candidate='cake' length-match=False\n cipher='rbiimn' candidate='garden' length-match=True\n cipher='rbiimn' candidate='mushroom' length-match=False\n cipher='rbiimn' candidate='card' length-match=False\n cipher='rbiimn' candidate='card' length-match=False\n cipher='rbiimn' candidate='wonderland' length-match=False\n cipher='rbiimn' candidate='white' length-match=False\n cipher='rbiimn' candidate='down' length-match=False\n cipher='rbiimn' candidate='smile' length-match=False\n cipher='rbiimn' candidate='smiled' length-match=True\n cipher='rbiimn' candidate='looking' length-match=False\n cipher='rbiimn' candidate='glass' length-match=False\n cipher='rbiimn' candidate='march' length-match=False\n cipher='rbiimn' candidate='hare' length-match=False\n cipher='rbiimn' candidate='dormouse' length-match=False\n cipher='eolqrzze' candidate='alice' length-match=False\n cipher='eolqrzze' candidate='rabbit' length-match=False\n cipher='eolqrzze' candidate='hatter' length-match=False\n cipher='eolqrzze' candidate='cheshire' length-match=True\n cipher='eolqrzze' candidate='queen' length-match=False\n cipher='eolqrzze' candidate='tea' length-match=False\n cipher='eolqrzze' candidate='cake' length-match=False\n cipher='eolqrzze' candidate='garden' length-match=False\n cipher='eolqrzze' candidate='mushroom' length-match=True <- assign\n cipher='eolqrzze' candidate='card' length-match=False\n cipher='eolqrzze' candidate='card' length-match=False\n cipher='eolqrzze' candidate='wonderland' length-match=False\n cipher='eolqrzze' candidate='white' length-match=False\n cipher='eolqrzze' candidate='down' length-match=False\n cipher='eolqrzze' candidate='smile' length-match=False\n cipher='eolqrzze' candidate='smiled' length-match=False\n cipher='eolqrzze' candidate='looking' length-match=False\n cipher='eolqrzze' candidate='glass' length-match=False\n cipher='eolqrzze' candidate='march' length-match=False\n cipher='eolqrzze' candidate='hare' length-match=False\n cipher='eolqrzze' candidate='dormouse' length-match=True\n cipher='nsb' candidate='alice' length-match=False\n cipher='nsb' candidate='rabbit' length-match=False\n cipher='nsb' candidate='hatter' length-match=False\n cipher='nsb' candidate='cheshire' length-match=False\n cipher='nsb' candidate='queen' length-match=False\n cipher='nsb' candidate='tea' length-match=True <- assign\n cipher='nsb' candidate='cake' length-match=False\n cipher='nsb' candidate='garden' length-match=False\n cipher='nsb' candidate='mushroom' length-match=False\n cipher='nsb' candidate='card' length-match=False\n cipher='nsb' candidate='card' length-match=False\n cipher='nsb' candidate='wonderland' length-match=False\n cipher='nsb' candidate='white' length-match=False\n cipher='nsb' candidate='down' length-match=False\n cipher='nsb' candidate='smile' length-match=False\n cipher='nsb' candidate='smiled' length-match=False\n cipher='nsb' candidate='looking' length-match=False\n cipher='nsb' candidate='glass' length-match=False\n cipher='nsb' candidate='march' length-match=False\n cipher='nsb' candidate='hare' length-match=False\n cipher='nsb' candidate='dormouse' length-match=False\n cipher='fossj' candidate='alice' length-match=True\n cipher='fossj' candidate='rabbit' length-match=False\n cipher='fossj' candidate='hatter' length-match=False\n cipher='fossj' candidate='cheshire' length-match=False\n cipher='fossj' candidate='queen' length-match=True <- assign\n cipher='fossj' candidate='tea' length-match=False\n cipher='fossj' candidate='cake' length-match=False\n cipher='fossj' candidate='garden' length-match=False\n cipher='fossj' candidate='mushroom' length-match=False\n cipher='fossj' candidate='card' length-match=False\n cipher='fossj' candidate='card' length-match=False\n cipher='fossj' candidate='wonderland' length-match=False\n cipher='fossj' candidate='white' length-match=True\n cipher='fossj' candidate='down' length-match=False\n cipher='fossj' candidate='smile' length-match=True\n cipher='fossj' candidate='smiled' length-match=False\n cipher='fossj' candidate='looking' length-match=False\n cipher='fossj' candidate='glass' length-match=True\n cipher='fossj' candidate='march' length-match=True\n cipher='fossj' candidate='hare' length-match=False\n cipher='fossj' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n rabbit mushroom tea queen\nFinal: \\boxed{rabbit mushroom tea queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 90 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 90 metres = 90 * 100 centimetres.\nCompute step by step:\n 9 * 10^1 * 100 = 9000\n running total = 9000\n 0 * 10^0 * 100 = 0\n running total = 9000\nFinal: \\boxed{9000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 74 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 74 days = 74 * 24 hours.\nCompute step by step:\n 7 * 10^1 * 24 = 1680\n running total = 1680\n 4 * 10^0 * 24 = 96\n running total = 1776\nFinal: \\boxed{1776}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral L to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\nFinal: \\boxed{50}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 13,66 -> 1366\n 45,48 -> 4548\n 77,12 -> 7712\nApply to: 58,69\n### Reasoning:\n<|cot_start|>Examples:\n 13,66 -> 1366\n 45,48 -> 4548\n 77,12 -> 7712\nCheck both candidate forms:\n concat(13,66)=1366 rev_concat(13,66)=6613 target=1366 concat\n concat(45,48)=4548 rev_concat(45,48)=4845 target=4548 concat\n concat(77,12)=7712 rev_concat(77,12)=1277 target=7712 concat\nConclude operator: concat.\nApply to (58, 69): answer = 5869\nFinal: \\boxed{5869}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00110000 -> 00011000\n 11100011 -> 11110001\n 10001010 -> 01000101\nApply to: 01111001\n### Reasoning:\n<|cot_start|>Given examples:\n 00110000 -> 00011000\n 11100011 -> 11110001\n 10001010 -> 01000101\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,1,0\n bit 1: 0,1,0 -> 0,1,1\n bit 2: 1,1,0 -> 0,1,0\n bit 3: 1,0,0 -> 1,1,0\n bit 4: 0,0,1 -> 1,0,0\n bit 5: 0,0,0 -> 0,0,1\n bit 6: 0,1,1 -> 0,0,0\n bit 7: 0,1,0 -> 0,1,1\nDeduce rule: rotate right 1.\nApply to 01111001:\n result = 10111100\nFinal: \\boxed{10111100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 42 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 42 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 2 * 10^0 * 981 = 1962\n running total = 41202\nSo F = 41202 centiNewtons = 412.02 N.\nFinal: \\boxed{412.02}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n rnlww clssvz iueet ydvze\n### Reasoning:\n<|cot_start|>Cipher text: rnlww clssvz iueet ydvze\nTry each candidate Wonderland word against each ciphertext word:\n cipher='rnlww' candidate='alice' length-match=True\n cipher='rnlww' candidate='rabbit' length-match=False\n cipher='rnlww' candidate='hatter' length-match=False\n cipher='rnlww' candidate='cheshire' length-match=False\n cipher='rnlww' candidate='queen' length-match=True\n cipher='rnlww' candidate='tea' length-match=False\n cipher='rnlww' candidate='cake' length-match=False\n cipher='rnlww' candidate='garden' length-match=False\n cipher='rnlww' candidate='mushroom' length-match=False\n cipher='rnlww' candidate='card' length-match=False\n cipher='rnlww' candidate='card' length-match=False\n cipher='rnlww' candidate='wonderland' length-match=False\n cipher='rnlww' candidate='white' length-match=True\n cipher='rnlww' candidate='down' length-match=False\n cipher='rnlww' candidate='smile' length-match=True\n cipher='rnlww' candidate='smiled' length-match=False\n cipher='rnlww' candidate='looking' length-match=False\n cipher='rnlww' candidate='glass' length-match=True <- assign\n cipher='rnlww' candidate='march' length-match=True\n cipher='rnlww' candidate='hare' length-match=False\n cipher='rnlww' candidate='dormouse' length-match=False\n cipher='clssvz' candidate='alice' length-match=False\n cipher='clssvz' candidate='rabbit' length-match=True <- assign\n cipher='clssvz' candidate='hatter' length-match=True\n cipher='clssvz' candidate='cheshire' length-match=False\n cipher='clssvz' candidate='queen' length-match=False\n cipher='clssvz' candidate='tea' length-match=False\n cipher='clssvz' candidate='cake' length-match=False\n cipher='clssvz' candidate='garden' length-match=True\n cipher='clssvz' candidate='mushroom' length-match=False\n cipher='clssvz' candidate='card' length-match=False\n cipher='clssvz' candidate='card' length-match=False\n cipher='clssvz' candidate='wonderland' length-match=False\n cipher='clssvz' candidate='white' length-match=False\n cipher='clssvz' candidate='down' length-match=False\n cipher='clssvz' candidate='smile' length-match=False\n cipher='clssvz' candidate='smiled' length-match=True\n cipher='clssvz' candidate='looking' length-match=False\n cipher='clssvz' candidate='glass' length-match=False\n cipher='clssvz' candidate='march' length-match=False\n cipher='clssvz' candidate='hare' length-match=False\n cipher='clssvz' candidate='dormouse' length-match=False\n cipher='iueet' candidate='alice' length-match=True\n cipher='iueet' candidate='rabbit' length-match=False\n cipher='iueet' candidate='hatter' length-match=False\n cipher='iueet' candidate='cheshire' length-match=False\n cipher='iueet' candidate='queen' length-match=True <- assign\n cipher='iueet' candidate='tea' length-match=False\n cipher='iueet' candidate='cake' length-match=False\n cipher='iueet' candidate='garden' length-match=False\n cipher='iueet' candidate='mushroom' length-match=False\n cipher='iueet' candidate='card' length-match=False\n cipher='iueet' candidate='card' length-match=False\n cipher='iueet' candidate='wonderland' length-match=False\n cipher='iueet' candidate='white' length-match=True\n cipher='iueet' candidate='down' length-match=False\n cipher='iueet' candidate='smile' length-match=True\n cipher='iueet' candidate='smiled' length-match=False\n cipher='iueet' candidate='looking' length-match=False\n cipher='iueet' candidate='glass' length-match=True\n cipher='iueet' candidate='march' length-match=True\n cipher='iueet' candidate='hare' length-match=False\n cipher='iueet' candidate='dormouse' length-match=False\n cipher='ydvze' candidate='alice' length-match=True\n cipher='ydvze' candidate='rabbit' length-match=False\n cipher='ydvze' candidate='hatter' length-match=False\n cipher='ydvze' candidate='cheshire' length-match=False\n cipher='ydvze' candidate='queen' length-match=True\n cipher='ydvze' candidate='tea' length-match=False\n cipher='ydvze' candidate='cake' length-match=False\n cipher='ydvze' candidate='garden' length-match=False\n cipher='ydvze' candidate='mushroom' length-match=False\n cipher='ydvze' candidate='card' length-match=False\n cipher='ydvze' candidate='card' length-match=False\n cipher='ydvze' candidate='wonderland' length-match=False\n cipher='ydvze' candidate='white' length-match=True <- assign\n cipher='ydvze' candidate='down' length-match=False\n cipher='ydvze' candidate='smile' length-match=True\n cipher='ydvze' candidate='smiled' length-match=False\n cipher='ydvze' candidate='looking' length-match=False\n cipher='ydvze' candidate='glass' length-match=True\n cipher='ydvze' candidate='march' length-match=True\n cipher='ydvze' candidate='hare' length-match=False\n cipher='ydvze' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n glass rabbit queen white\nFinal: \\boxed{glass rabbit queen white}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 25 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 25 days = 25 * 24 hours.\nCompute step by step:\n 2 * 10^1 * 24 = 480\n running total = 480\n 5 * 10^0 * 24 = 120\n running total = 600\nFinal: \\boxed{600}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 38,70 -> 324\n 11,76 -> 225\n 86,60 -> 400\nApply to: 53,37\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 38,70: '+' gives 108; target=324 no\n 38,70: '-' gives 32; target=324 no\n 38,70: '*' gives 2660; target=324 no\n 38,70: 'concat' gives 3870; target=324 no\n 38,70: 'rev_concat' gives 7038; target=324 no\n 38,70: 'max*min+sum' gives 2768; target=324 no\n 38,70: 'digitsum2' gives 324; target=324 MATCH\n 11,76: '+' gives 87; target=225 no\n 11,76: '-' gives 65; target=225 no\n 11,76: '*' gives 836; target=225 no\n 11,76: 'concat' gives 1176; target=225 no\n 11,76: 'rev_concat' gives 7611; target=225 no\n 11,76: 'max*min+sum' gives 923; target=225 no\n 11,76: 'digitsum2' gives 225; target=225 MATCH\n 86,60: '+' gives 146; target=400 no\n 86,60: '-' gives 26; target=400 no\n 86,60: '*' gives 5160; target=400 no\n 86,60: 'concat' gives 8660; target=400 no\n 86,60: 'rev_concat' gives 6086; target=400 no\n 86,60: 'max*min+sum' gives 5306; target=400 no\n 86,60: 'digitsum2' gives 400; target=400 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (53, 37):\n result = 324\nFinal: \\boxed{324}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 88,49 -> 4312\n 71,28 -> 1988\n 46,15 -> 690\nApply to: 62,98\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 88,49: '+' gives 137; target=4312 no\n 88,49: '-' gives 39; target=4312 no\n 88,49: '*' gives 4312; target=4312 MATCH\n 88,49: 'concat' gives 8849; target=4312 no\n 88,49: 'rev_concat' gives 4988; target=4312 no\n 88,49: 'max*min+sum' gives 4449; target=4312 no\n 88,49: 'digitsum2' gives 841; target=4312 no\n 71,28: '+' gives 99; target=1988 no\n 71,28: '-' gives 43; target=1988 no\n 71,28: '*' gives 1988; target=1988 MATCH\n 71,28: 'concat' gives 7128; target=1988 no\n 71,28: 'rev_concat' gives 2871; target=1988 no\n 71,28: 'max*min+sum' gives 2087; target=1988 no\n 71,28: 'digitsum2' gives 324; target=1988 no\n 46,15: '+' gives 61; target=690 no\n 46,15: '-' gives 31; target=690 no\n 46,15: '*' gives 690; target=690 MATCH\n 46,15: 'concat' gives 4615; target=690 no\n 46,15: 'rev_concat' gives 1546; target=690 no\n 46,15: 'max*min+sum' gives 751; target=690 no\n 46,15: 'digitsum2' gives 256; target=690 no\nThe only operator consistent with all examples is '*'.\nApply to (62, 98):\n result = 6076\nFinal: \\boxed{6076}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n I = 1 -> 60 + 1 = 61\n I = 1 -> 61 + 1 = 62\nFinal: \\boxed{62}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 74 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 74 days = 74 * 24 hours.\nCompute step by step:\n 7 * 10^1 * 24 = 1680\n running total = 1680\n 4 * 10^0 * 24 = 96\n running total = 1776\nFinal: \\boxed{1776}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 29 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 29 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 9 * 10^0 * 981 = 8829\n running total = 28449\nSo F = 28449 centiNewtons = 284.49 N.\nFinal: \\boxed{284.49}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00001111 -> 11110000\n 01010001 -> 10101110\n 10101000 -> 01010111\nApply to: 01011000\n### Reasoning:\n<|cot_start|>Given examples:\n 00001111 -> 11110000\n 01010001 -> 10101110\n 10101000 -> 01010111\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,0\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 0,0,1 -> 1,1,0\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 1,0,1 -> 0,1,0\n bit 5: 1,0,0 -> 0,1,1\n bit 6: 1,0,0 -> 0,1,1\n bit 7: 1,1,0 -> 0,0,1\nDeduce rule: invert (NOT).\nApply to 01011000:\n result = 10100111\nFinal: \\boxed{10100111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n V = 5 -> 50 + 5 = 55\n I = 1 -> 55 + 1 = 56\n I = 1 -> 56 + 1 = 57\nFinal: \\boxed{57}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 26,66 -> 92\n 65,22 -> 87\n 56,38 -> 94\nApply to: 25,51\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 26,66: '+' gives 92; target=92 MATCH\n 26,66: '-' gives 40; target=92 no\n 26,66: '*' gives 1716; target=92 no\n 26,66: 'concat' gives 2666; target=92 no\n 26,66: 'rev_concat' gives 6626; target=92 no\n 26,66: 'max*min+sum' gives 1808; target=92 no\n 26,66: 'digitsum2' gives 400; target=92 no\n 65,22: '+' gives 87; target=87 MATCH\n 65,22: '-' gives 43; target=87 no\n 65,22: '*' gives 1430; target=87 no\n 65,22: 'concat' gives 6522; target=87 no\n 65,22: 'rev_concat' gives 2265; target=87 no\n 65,22: 'max*min+sum' gives 1517; target=87 no\n 65,22: 'digitsum2' gives 225; target=87 no\n 56,38: '+' gives 94; target=94 MATCH\n 56,38: '-' gives 18; target=94 no\n 56,38: '*' gives 2128; target=94 no\n 56,38: 'concat' gives 5638; target=94 no\n 56,38: 'rev_concat' gives 3856; target=94 no\n 56,38: 'max*min+sum' gives 2222; target=94 no\n 56,38: 'digitsum2' gives 484; target=94 no\nThe only operator consistent with all examples is '+'.\nApply to (25, 51):\n result = 76\nFinal: \\boxed{76}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n bpho gahxayko hpwwnc xykbhaax\n### Reasoning:\n<|cot_start|>Cipher text: bpho gahxayko hpwwnc xykbhaax\nTry each candidate Wonderland word against each ciphertext word:\n cipher='bpho' candidate='alice' length-match=False\n cipher='bpho' candidate='rabbit' length-match=False\n cipher='bpho' candidate='hatter' length-match=False\n cipher='bpho' candidate='cheshire' length-match=False\n cipher='bpho' candidate='queen' length-match=False\n cipher='bpho' candidate='tea' length-match=False\n cipher='bpho' candidate='cake' length-match=True\n cipher='bpho' candidate='garden' length-match=False\n cipher='bpho' candidate='mushroom' length-match=False\n cipher='bpho' candidate='card' length-match=True\n cipher='bpho' candidate='card' length-match=True\n cipher='bpho' candidate='wonderland' length-match=False\n cipher='bpho' candidate='white' length-match=False\n cipher='bpho' candidate='down' length-match=True\n cipher='bpho' candidate='smile' length-match=False\n cipher='bpho' candidate='smiled' length-match=False\n cipher='bpho' candidate='looking' length-match=False\n cipher='bpho' candidate='glass' length-match=False\n cipher='bpho' candidate='march' length-match=False\n cipher='bpho' candidate='hare' length-match=True <- assign\n cipher='bpho' candidate='dormouse' length-match=False\n cipher='gahxayko' candidate='alice' length-match=False\n cipher='gahxayko' candidate='rabbit' length-match=False\n cipher='gahxayko' candidate='hatter' length-match=False\n cipher='gahxayko' candidate='cheshire' length-match=True\n cipher='gahxayko' candidate='queen' length-match=False\n cipher='gahxayko' candidate='tea' length-match=False\n cipher='gahxayko' candidate='cake' length-match=False\n cipher='gahxayko' candidate='garden' length-match=False\n cipher='gahxayko' candidate='mushroom' length-match=True\n cipher='gahxayko' candidate='card' length-match=False\n cipher='gahxayko' candidate='card' length-match=False\n cipher='gahxayko' candidate='wonderland' length-match=False\n cipher='gahxayko' candidate='white' length-match=False\n cipher='gahxayko' candidate='down' length-match=False\n cipher='gahxayko' candidate='smile' length-match=False\n cipher='gahxayko' candidate='smiled' length-match=False\n cipher='gahxayko' candidate='looking' length-match=False\n cipher='gahxayko' candidate='glass' length-match=False\n cipher='gahxayko' candidate='march' length-match=False\n cipher='gahxayko' candidate='hare' length-match=False\n cipher='gahxayko' candidate='dormouse' length-match=True <- assign\n cipher='hpwwnc' candidate='alice' length-match=False\n cipher='hpwwnc' candidate='rabbit' length-match=True <- assign\n cipher='hpwwnc' candidate='hatter' length-match=True\n cipher='hpwwnc' candidate='cheshire' length-match=False\n cipher='hpwwnc' candidate='queen' length-match=False\n cipher='hpwwnc' candidate='tea' length-match=False\n cipher='hpwwnc' candidate='cake' length-match=False\n cipher='hpwwnc' candidate='garden' length-match=True\n cipher='hpwwnc' candidate='mushroom' length-match=False\n cipher='hpwwnc' candidate='card' length-match=False\n cipher='hpwwnc' candidate='card' length-match=False\n cipher='hpwwnc' candidate='wonderland' length-match=False\n cipher='hpwwnc' candidate='white' length-match=False\n cipher='hpwwnc' candidate='down' length-match=False\n cipher='hpwwnc' candidate='smile' length-match=False\n cipher='hpwwnc' candidate='smiled' length-match=True\n cipher='hpwwnc' candidate='looking' length-match=False\n cipher='hpwwnc' candidate='glass' length-match=False\n cipher='hpwwnc' candidate='march' length-match=False\n cipher='hpwwnc' candidate='hare' length-match=False\n cipher='hpwwnc' candidate='dormouse' length-match=False\n cipher='xykbhaax' candidate='alice' length-match=False\n cipher='xykbhaax' candidate='rabbit' length-match=False\n cipher='xykbhaax' candidate='hatter' length-match=False\n cipher='xykbhaax' candidate='cheshire' length-match=True\n cipher='xykbhaax' candidate='queen' length-match=False\n cipher='xykbhaax' candidate='tea' length-match=False\n cipher='xykbhaax' candidate='cake' length-match=False\n cipher='xykbhaax' candidate='garden' length-match=False\n cipher='xykbhaax' candidate='mushroom' length-match=True <- assign\n cipher='xykbhaax' candidate='card' length-match=False\n cipher='xykbhaax' candidate='card' length-match=False\n cipher='xykbhaax' candidate='wonderland' length-match=False\n cipher='xykbhaax' candidate='white' length-match=False\n cipher='xykbhaax' candidate='down' length-match=False\n cipher='xykbhaax' candidate='smile' length-match=False\n cipher='xykbhaax' candidate='smiled' length-match=False\n cipher='xykbhaax' candidate='looking' length-match=False\n cipher='xykbhaax' candidate='glass' length-match=False\n cipher='xykbhaax' candidate='march' length-match=False\n cipher='xykbhaax' candidate='hare' length-match=False\n cipher='xykbhaax' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n hare dormouse rabbit mushroom\nFinal: \\boxed{hare dormouse rabbit mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n I = 1 -> 30 + 1 = 31\n I = 1 -> 31 + 1 = 32\n I = 1 -> 32 + 1 = 33\nFinal: \\boxed{33}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11000011 -> 11000011\n 11100011 -> 11000111\n 01101101 -> 10110110\nApply to: 10000001\n### Reasoning:\n<|cot_start|>Given examples:\n 11000011 -> 11000011\n 11100011 -> 11000111\n 01101101 -> 10110110\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 1,1,1\n bit 1: 1,1,1 -> 1,1,0\n bit 2: 0,1,1 -> 0,0,1\n bit 3: 0,0,0 -> 0,0,1\n bit 4: 0,0,1 -> 0,0,0\n bit 5: 0,0,1 -> 0,1,1\n bit 6: 1,1,0 -> 1,1,1\n bit 7: 1,1,1 -> 1,1,0\nDeduce rule: reverse bits.\nApply to 10000001:\n result = 10000001\nFinal: \\boxed{10000001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 16 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 16 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 6 * 10^0 * 981 = 5886\n running total = 15696\nSo F = 15696 centiNewtons = 156.96 N.\nFinal: \\boxed{156.96}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11111101 -> 11111101\n 01001010 -> 11111010\n 10000000 -> 11110000\nApply to: 10100100\n### Reasoning:\n<|cot_start|>Given examples:\n 11111101 -> 11111101\n 01001010 -> 11111010\n 10000000 -> 11110000\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 1,1,1\n bit 1: 1,1,0 -> 1,1,1\n bit 2: 1,0,0 -> 1,1,1\n bit 3: 1,0,0 -> 1,1,1\n bit 4: 1,1,0 -> 1,1,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 0,1,0 -> 0,1,0\n bit 7: 1,0,0 -> 1,0,0\nDeduce rule: or 0xF0.\nApply to 10100100:\n result = 11110100\nFinal: \\boxed{11110100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 44 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 44 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 4 * 10^0 * 981 = 3924\n running total = 43164\nSo F = 43164 centiNewtons = 431.64 N.\nFinal: \\boxed{431.64}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n stve grrqmxp tgmsb vtiiml\n### Reasoning:\n<|cot_start|>Cipher text: stve grrqmxp tgmsb vtiiml\nTry each candidate Wonderland word against each ciphertext word:\n cipher='stve' candidate='alice' length-match=False\n cipher='stve' candidate='rabbit' length-match=False\n cipher='stve' candidate='hatter' length-match=False\n cipher='stve' candidate='cheshire' length-match=False\n cipher='stve' candidate='queen' length-match=False\n cipher='stve' candidate='tea' length-match=False\n cipher='stve' candidate='cake' length-match=True\n cipher='stve' candidate='garden' length-match=False\n cipher='stve' candidate='mushroom' length-match=False\n cipher='stve' candidate='card' length-match=True <- assign\n cipher='stve' candidate='card' length-match=True <- assign\n cipher='stve' candidate='wonderland' length-match=False\n cipher='stve' candidate='white' length-match=False\n cipher='stve' candidate='down' length-match=True\n cipher='stve' candidate='smile' length-match=False\n cipher='stve' candidate='smiled' length-match=False\n cipher='stve' candidate='looking' length-match=False\n cipher='stve' candidate='glass' length-match=False\n cipher='stve' candidate='march' length-match=False\n cipher='stve' candidate='hare' length-match=True\n cipher='stve' candidate='dormouse' length-match=False\n cipher='grrqmxp' candidate='alice' length-match=False\n cipher='grrqmxp' candidate='rabbit' length-match=False\n cipher='grrqmxp' candidate='hatter' length-match=False\n cipher='grrqmxp' candidate='cheshire' length-match=False\n cipher='grrqmxp' candidate='queen' length-match=False\n cipher='grrqmxp' candidate='tea' length-match=False\n cipher='grrqmxp' candidate='cake' length-match=False\n cipher='grrqmxp' candidate='garden' length-match=False\n cipher='grrqmxp' candidate='mushroom' length-match=False\n cipher='grrqmxp' candidate='card' length-match=False\n cipher='grrqmxp' candidate='card' length-match=False\n cipher='grrqmxp' candidate='wonderland' length-match=False\n cipher='grrqmxp' candidate='white' length-match=False\n cipher='grrqmxp' candidate='down' length-match=False\n cipher='grrqmxp' candidate='smile' length-match=False\n cipher='grrqmxp' candidate='smiled' length-match=False\n cipher='grrqmxp' candidate='looking' length-match=True <- assign\n cipher='grrqmxp' candidate='glass' length-match=False\n cipher='grrqmxp' candidate='march' length-match=False\n cipher='grrqmxp' candidate='hare' length-match=False\n cipher='grrqmxp' candidate='dormouse' length-match=False\n cipher='tgmsb' candidate='alice' length-match=True <- assign\n cipher='tgmsb' candidate='rabbit' length-match=False\n cipher='tgmsb' candidate='hatter' length-match=False\n cipher='tgmsb' candidate='cheshire' length-match=False\n cipher='tgmsb' candidate='queen' length-match=True\n cipher='tgmsb' candidate='tea' length-match=False\n cipher='tgmsb' candidate='cake' length-match=False\n cipher='tgmsb' candidate='garden' length-match=False\n cipher='tgmsb' candidate='mushroom' length-match=False\n cipher='tgmsb' candidate='card' length-match=False\n cipher='tgmsb' candidate='card' length-match=False\n cipher='tgmsb' candidate='wonderland' length-match=False\n cipher='tgmsb' candidate='white' length-match=True\n cipher='tgmsb' candidate='down' length-match=False\n cipher='tgmsb' candidate='smile' length-match=True\n cipher='tgmsb' candidate='smiled' length-match=False\n cipher='tgmsb' candidate='looking' length-match=False\n cipher='tgmsb' candidate='glass' length-match=True\n cipher='tgmsb' candidate='march' length-match=True\n cipher='tgmsb' candidate='hare' length-match=False\n cipher='tgmsb' candidate='dormouse' length-match=False\n cipher='vtiiml' candidate='alice' length-match=False\n cipher='vtiiml' candidate='rabbit' length-match=True <- assign\n cipher='vtiiml' candidate='hatter' length-match=True\n cipher='vtiiml' candidate='cheshire' length-match=False\n cipher='vtiiml' candidate='queen' length-match=False\n cipher='vtiiml' candidate='tea' length-match=False\n cipher='vtiiml' candidate='cake' length-match=False\n cipher='vtiiml' candidate='garden' length-match=True\n cipher='vtiiml' candidate='mushroom' length-match=False\n cipher='vtiiml' candidate='card' length-match=False\n cipher='vtiiml' candidate='card' length-match=False\n cipher='vtiiml' candidate='wonderland' length-match=False\n cipher='vtiiml' candidate='white' length-match=False\n cipher='vtiiml' candidate='down' length-match=False\n cipher='vtiiml' candidate='smile' length-match=False\n cipher='vtiiml' candidate='smiled' length-match=True\n cipher='vtiiml' candidate='looking' length-match=False\n cipher='vtiiml' candidate='glass' length-match=False\n cipher='vtiiml' candidate='march' length-match=False\n cipher='vtiiml' candidate='hare' length-match=False\n cipher='vtiiml' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card looking alice rabbit\nFinal: \\boxed{card looking alice rabbit}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 14,99 -> 9914\n 21,22 -> 2221\n 85,27 -> 2785\nApply to: 28,82\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 14,99: '+' gives 113; target=9914 no\n 14,99: '-' gives 85; target=9914 no\n 14,99: '*' gives 1386; target=9914 no\n 14,99: 'concat' gives 1499; target=9914 no\n 14,99: 'rev_concat' gives 9914; target=9914 MATCH\n 14,99: 'max*min+sum' gives 1499; target=9914 no\n 14,99: 'digitsum2' gives 529; target=9914 no\n 21,22: '+' gives 43; target=2221 no\n 21,22: '-' gives 1; target=2221 no\n 21,22: '*' gives 462; target=2221 no\n 21,22: 'concat' gives 2122; target=2221 no\n 21,22: 'rev_concat' gives 2221; target=2221 MATCH\n 21,22: 'max*min+sum' gives 505; target=2221 no\n 21,22: 'digitsum2' gives 49; target=2221 no\n 85,27: '+' gives 112; target=2785 no\n 85,27: '-' gives 58; target=2785 no\n 85,27: '*' gives 2295; target=2785 no\n 85,27: 'concat' gives 8527; target=2785 no\n 85,27: 'rev_concat' gives 2785; target=2785 MATCH\n 85,27: 'max*min+sum' gives 2407; target=2785 no\n 85,27: 'digitsum2' gives 484; target=2785 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (28, 82):\n result = 8228\nFinal: \\boxed{8228}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 79,25 -> 104\n 50,13 -> 63\n 65,28 -> 93\nApply to: 21,26\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 79,25: '+' gives 104; target=104 MATCH\n 79,25: '-' gives 54; target=104 no\n 79,25: '*' gives 1975; target=104 no\n 79,25: 'concat' gives 7925; target=104 no\n 79,25: 'rev_concat' gives 2579; target=104 no\n 79,25: 'max*min+sum' gives 2079; target=104 no\n 79,25: 'digitsum2' gives 529; target=104 no\n 50,13: '+' gives 63; target=63 MATCH\n 50,13: '-' gives 37; target=63 no\n 50,13: '*' gives 650; target=63 no\n 50,13: 'concat' gives 5013; target=63 no\n 50,13: 'rev_concat' gives 1350; target=63 no\n 50,13: 'max*min+sum' gives 713; target=63 no\n 50,13: 'digitsum2' gives 81; target=63 no\n 65,28: '+' gives 93; target=93 MATCH\n 65,28: '-' gives 37; target=93 no\n 65,28: '*' gives 1820; target=93 no\n 65,28: 'concat' gives 6528; target=93 no\n 65,28: 'rev_concat' gives 2865; target=93 no\n 65,28: 'max*min+sum' gives 1913; target=93 no\n 65,28: 'digitsum2' gives 441; target=93 no\nThe only operator consistent with all examples is '+'.\nApply to (21, 26):\n result = 47\nFinal: \\boxed{47}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 46 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 46 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 6 * 10^0 * 981 = 5886\n running total = 45126\nSo F = 45126 centiNewtons = 451.26 N.\nFinal: \\boxed{451.26}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11100010 -> 00000010\n 01011000 -> 00001000\n 10110101 -> 00000101\nApply to: 11011010\n### Reasoning:\n<|cot_start|>Given examples:\n 11100010 -> 00000010\n 01011000 -> 00001000\n 10110101 -> 00000101\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,0,0\n bit 1: 1,1,0 -> 0,0,0\n bit 2: 1,0,1 -> 0,0,0\n bit 3: 0,1,1 -> 0,0,0\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 0,0,1 -> 0,0,1\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 0,0,1 -> 0,0,1\nDeduce rule: and 0x0F.\nApply to 11011010:\n result = 00001010\nFinal: \\boxed{00001010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 53,39 -> 14\n 40,35 -> 5\n 34,97 -> 63\nApply to: 58,25\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 53,39: '+' gives 92; target=14 no\n 53,39: '-' gives 14; target=14 MATCH\n 53,39: '*' gives 2067; target=14 no\n 53,39: 'concat' gives 5339; target=14 no\n 53,39: 'rev_concat' gives 3953; target=14 no\n 53,39: 'max*min+sum' gives 2159; target=14 no\n 53,39: 'digitsum2' gives 400; target=14 no\n 40,35: '+' gives 75; target=5 no\n 40,35: '-' gives 5; target=5 MATCH\n 40,35: '*' gives 1400; target=5 no\n 40,35: 'concat' gives 4035; target=5 no\n 40,35: 'rev_concat' gives 3540; target=5 no\n 40,35: 'max*min+sum' gives 1475; target=5 no\n 40,35: 'digitsum2' gives 144; target=5 no\n 34,97: '+' gives 131; target=63 no\n 34,97: '-' gives 63; target=63 MATCH\n 34,97: '*' gives 3298; target=63 no\n 34,97: 'concat' gives 3497; target=63 no\n 34,97: 'rev_concat' gives 9734; target=63 no\n 34,97: 'max*min+sum' gives 3429; target=63 no\n 34,97: 'digitsum2' gives 529; target=63 no\nThe only operator consistent with all examples is '-'.\nApply to (58, 25):\n result = 33\nFinal: \\boxed{33}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 48 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 48 kilometres = 48 * 1000 metres.\nCompute step by step:\n 4 * 10^1 * 1000 = 40000\n running total = 40000\n 8 * 10^0 * 1000 = 8000\n running total = 48000\nFinal: \\boxed{48000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n pujq qvjgvfac hzuaa agnzc\n### Reasoning:\n<|cot_start|>Cipher text: pujq qvjgvfac hzuaa agnzc\nTry each candidate Wonderland word against each ciphertext word:\n cipher='pujq' candidate='alice' length-match=False\n cipher='pujq' candidate='rabbit' length-match=False\n cipher='pujq' candidate='hatter' length-match=False\n cipher='pujq' candidate='cheshire' length-match=False\n cipher='pujq' candidate='queen' length-match=False\n cipher='pujq' candidate='tea' length-match=False\n cipher='pujq' candidate='cake' length-match=True\n cipher='pujq' candidate='garden' length-match=False\n cipher='pujq' candidate='mushroom' length-match=False\n cipher='pujq' candidate='card' length-match=True <- assign\n cipher='pujq' candidate='card' length-match=True <- assign\n cipher='pujq' candidate='wonderland' length-match=False\n cipher='pujq' candidate='white' length-match=False\n cipher='pujq' candidate='down' length-match=True\n cipher='pujq' candidate='smile' length-match=False\n cipher='pujq' candidate='smiled' length-match=False\n cipher='pujq' candidate='looking' length-match=False\n cipher='pujq' candidate='glass' length-match=False\n cipher='pujq' candidate='march' length-match=False\n cipher='pujq' candidate='hare' length-match=True\n cipher='pujq' candidate='dormouse' length-match=False\n cipher='qvjgvfac' candidate='alice' length-match=False\n cipher='qvjgvfac' candidate='rabbit' length-match=False\n cipher='qvjgvfac' candidate='hatter' length-match=False\n cipher='qvjgvfac' candidate='cheshire' length-match=True\n cipher='qvjgvfac' candidate='queen' length-match=False\n cipher='qvjgvfac' candidate='tea' length-match=False\n cipher='qvjgvfac' candidate='cake' length-match=False\n cipher='qvjgvfac' candidate='garden' length-match=False\n cipher='qvjgvfac' candidate='mushroom' length-match=True\n cipher='qvjgvfac' candidate='card' length-match=False\n cipher='qvjgvfac' candidate='card' length-match=False\n cipher='qvjgvfac' candidate='wonderland' length-match=False\n cipher='qvjgvfac' candidate='white' length-match=False\n cipher='qvjgvfac' candidate='down' length-match=False\n cipher='qvjgvfac' candidate='smile' length-match=False\n cipher='qvjgvfac' candidate='smiled' length-match=False\n cipher='qvjgvfac' candidate='looking' length-match=False\n cipher='qvjgvfac' candidate='glass' length-match=False\n cipher='qvjgvfac' candidate='march' length-match=False\n cipher='qvjgvfac' candidate='hare' length-match=False\n cipher='qvjgvfac' candidate='dormouse' length-match=True <- assign\n cipher='hzuaa' candidate='alice' length-match=True\n cipher='hzuaa' candidate='rabbit' length-match=False\n cipher='hzuaa' candidate='hatter' length-match=False\n cipher='hzuaa' candidate='cheshire' length-match=False\n cipher='hzuaa' candidate='queen' length-match=True\n cipher='hzuaa' candidate='tea' length-match=False\n cipher='hzuaa' candidate='cake' length-match=False\n cipher='hzuaa' candidate='garden' length-match=False\n cipher='hzuaa' candidate='mushroom' length-match=False\n cipher='hzuaa' candidate='card' length-match=False\n cipher='hzuaa' candidate='card' length-match=False\n cipher='hzuaa' candidate='wonderland' length-match=False\n cipher='hzuaa' candidate='white' length-match=True\n cipher='hzuaa' candidate='down' length-match=False\n cipher='hzuaa' candidate='smile' length-match=True\n cipher='hzuaa' candidate='smiled' length-match=False\n cipher='hzuaa' candidate='looking' length-match=False\n cipher='hzuaa' candidate='glass' length-match=True <- assign\n cipher='hzuaa' candidate='march' length-match=True\n cipher='hzuaa' candidate='hare' length-match=False\n cipher='hzuaa' candidate='dormouse' length-match=False\n cipher='agnzc' candidate='alice' length-match=True\n cipher='agnzc' candidate='rabbit' length-match=False\n cipher='agnzc' candidate='hatter' length-match=False\n cipher='agnzc' candidate='cheshire' length-match=False\n cipher='agnzc' candidate='queen' length-match=True\n cipher='agnzc' candidate='tea' length-match=False\n cipher='agnzc' candidate='cake' length-match=False\n cipher='agnzc' candidate='garden' length-match=False\n cipher='agnzc' candidate='mushroom' length-match=False\n cipher='agnzc' candidate='card' length-match=False\n cipher='agnzc' candidate='card' length-match=False\n cipher='agnzc' candidate='wonderland' length-match=False\n cipher='agnzc' candidate='white' length-match=True\n cipher='agnzc' candidate='down' length-match=False\n cipher='agnzc' candidate='smile' length-match=True <- assign\n cipher='agnzc' candidate='smiled' length-match=False\n cipher='agnzc' candidate='looking' length-match=False\n cipher='agnzc' candidate='glass' length-match=True\n cipher='agnzc' candidate='march' length-match=True\n cipher='agnzc' candidate='hare' length-match=False\n cipher='agnzc' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card dormouse glass smile\nFinal: \\boxed{card dormouse glass smile}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 64,48 -> 4864\n 68,17 -> 1768\n 27,54 -> 5427\nApply to: 32,73\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 64,48: '+' gives 112; target=4864 no\n 64,48: '-' gives 16; target=4864 no\n 64,48: '*' gives 3072; target=4864 no\n 64,48: 'concat' gives 6448; target=4864 no\n 64,48: 'rev_concat' gives 4864; target=4864 MATCH\n 64,48: 'max*min+sum' gives 3184; target=4864 no\n 64,48: 'digitsum2' gives 484; target=4864 no\n 68,17: '+' gives 85; target=1768 no\n 68,17: '-' gives 51; target=1768 no\n 68,17: '*' gives 1156; target=1768 no\n 68,17: 'concat' gives 6817; target=1768 no\n 68,17: 'rev_concat' gives 1768; target=1768 MATCH\n 68,17: 'max*min+sum' gives 1241; target=1768 no\n 68,17: 'digitsum2' gives 484; target=1768 no\n 27,54: '+' gives 81; target=5427 no\n 27,54: '-' gives 27; target=5427 no\n 27,54: '*' gives 1458; target=5427 no\n 27,54: 'concat' gives 2754; target=5427 no\n 27,54: 'rev_concat' gives 5427; target=5427 MATCH\n 27,54: 'max*min+sum' gives 1539; target=5427 no\n 27,54: 'digitsum2' gives 324; target=5427 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (32, 73):\n result = 7332\nFinal: \\boxed{7332}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n mqeegy slqww wzrlgn dqjg\n### Reasoning:\n<|cot_start|>Cipher text: mqeegy slqww wzrlgn dqjg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='mqeegy' candidate='alice' length-match=False\n cipher='mqeegy' candidate='rabbit' length-match=True\n cipher='mqeegy' candidate='hatter' length-match=True <- assign\n cipher='mqeegy' candidate='cheshire' length-match=False\n cipher='mqeegy' candidate='queen' length-match=False\n cipher='mqeegy' candidate='tea' length-match=False\n cipher='mqeegy' candidate='cake' length-match=False\n cipher='mqeegy' candidate='garden' length-match=True\n cipher='mqeegy' candidate='mushroom' length-match=False\n cipher='mqeegy' candidate='card' length-match=False\n cipher='mqeegy' candidate='card' length-match=False\n cipher='mqeegy' candidate='wonderland' length-match=False\n cipher='mqeegy' candidate='white' length-match=False\n cipher='mqeegy' candidate='down' length-match=False\n cipher='mqeegy' candidate='smile' length-match=False\n cipher='mqeegy' candidate='smiled' length-match=True\n cipher='mqeegy' candidate='looking' length-match=False\n cipher='mqeegy' candidate='glass' length-match=False\n cipher='mqeegy' candidate='march' length-match=False\n cipher='mqeegy' candidate='hare' length-match=False\n cipher='mqeegy' candidate='dormouse' length-match=False\n cipher='slqww' candidate='alice' length-match=True\n cipher='slqww' candidate='rabbit' length-match=False\n cipher='slqww' candidate='hatter' length-match=False\n cipher='slqww' candidate='cheshire' length-match=False\n cipher='slqww' candidate='queen' length-match=True\n cipher='slqww' candidate='tea' length-match=False\n cipher='slqww' candidate='cake' length-match=False\n cipher='slqww' candidate='garden' length-match=False\n cipher='slqww' candidate='mushroom' length-match=False\n cipher='slqww' candidate='card' length-match=False\n cipher='slqww' candidate='card' length-match=False\n cipher='slqww' candidate='wonderland' length-match=False\n cipher='slqww' candidate='white' length-match=True\n cipher='slqww' candidate='down' length-match=False\n cipher='slqww' candidate='smile' length-match=True\n cipher='slqww' candidate='smiled' length-match=False\n cipher='slqww' candidate='looking' length-match=False\n cipher='slqww' candidate='glass' length-match=True <- assign\n cipher='slqww' candidate='march' length-match=True\n cipher='slqww' candidate='hare' length-match=False\n cipher='slqww' candidate='dormouse' length-match=False\n cipher='wzrlgn' candidate='alice' length-match=False\n cipher='wzrlgn' candidate='rabbit' length-match=True\n cipher='wzrlgn' candidate='hatter' length-match=True\n cipher='wzrlgn' candidate='cheshire' length-match=False\n cipher='wzrlgn' candidate='queen' length-match=False\n cipher='wzrlgn' candidate='tea' length-match=False\n cipher='wzrlgn' candidate='cake' length-match=False\n cipher='wzrlgn' candidate='garden' length-match=True\n cipher='wzrlgn' candidate='mushroom' length-match=False\n cipher='wzrlgn' candidate='card' length-match=False\n cipher='wzrlgn' candidate='card' length-match=False\n cipher='wzrlgn' candidate='wonderland' length-match=False\n cipher='wzrlgn' candidate='white' length-match=False\n cipher='wzrlgn' candidate='down' length-match=False\n cipher='wzrlgn' candidate='smile' length-match=False\n cipher='wzrlgn' candidate='smiled' length-match=True <- assign\n cipher='wzrlgn' candidate='looking' length-match=False\n cipher='wzrlgn' candidate='glass' length-match=False\n cipher='wzrlgn' candidate='march' length-match=False\n cipher='wzrlgn' candidate='hare' length-match=False\n cipher='wzrlgn' candidate='dormouse' length-match=False\n cipher='dqjg' candidate='alice' length-match=False\n cipher='dqjg' candidate='rabbit' length-match=False\n cipher='dqjg' candidate='hatter' length-match=False\n cipher='dqjg' candidate='cheshire' length-match=False\n cipher='dqjg' candidate='queen' length-match=False\n cipher='dqjg' candidate='tea' length-match=False\n cipher='dqjg' candidate='cake' length-match=True <- assign\n cipher='dqjg' candidate='garden' length-match=False\n cipher='dqjg' candidate='mushroom' length-match=False\n cipher='dqjg' candidate='card' length-match=True\n cipher='dqjg' candidate='card' length-match=True\n cipher='dqjg' candidate='wonderland' length-match=False\n cipher='dqjg' candidate='white' length-match=False\n cipher='dqjg' candidate='down' length-match=True\n cipher='dqjg' candidate='smile' length-match=False\n cipher='dqjg' candidate='smiled' length-match=False\n cipher='dqjg' candidate='looking' length-match=False\n cipher='dqjg' candidate='glass' length-match=False\n cipher='dqjg' candidate='march' length-match=False\n cipher='dqjg' candidate='hare' length-match=True\n cipher='dqjg' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n hatter glass smiled cake\nFinal: \\boxed{hatter glass smiled cake}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n ayro ghiik zhdxrttz wvydd\n### Reasoning:\n<|cot_start|>Cipher text: ayro ghiik zhdxrttz wvydd\nTry each candidate Wonderland word against each ciphertext word:\n cipher='ayro' candidate='alice' length-match=False\n cipher='ayro' candidate='rabbit' length-match=False\n cipher='ayro' candidate='hatter' length-match=False\n cipher='ayro' candidate='cheshire' length-match=False\n cipher='ayro' candidate='queen' length-match=False\n cipher='ayro' candidate='tea' length-match=False\n cipher='ayro' candidate='cake' length-match=True\n cipher='ayro' candidate='garden' length-match=False\n cipher='ayro' candidate='mushroom' length-match=False\n cipher='ayro' candidate='card' length-match=True <- assign\n cipher='ayro' candidate='card' length-match=True <- assign\n cipher='ayro' candidate='wonderland' length-match=False\n cipher='ayro' candidate='white' length-match=False\n cipher='ayro' candidate='down' length-match=True\n cipher='ayro' candidate='smile' length-match=False\n cipher='ayro' candidate='smiled' length-match=False\n cipher='ayro' candidate='looking' length-match=False\n cipher='ayro' candidate='glass' length-match=False\n cipher='ayro' candidate='march' length-match=False\n cipher='ayro' candidate='hare' length-match=True\n cipher='ayro' candidate='dormouse' length-match=False\n cipher='ghiik' candidate='alice' length-match=True\n cipher='ghiik' candidate='rabbit' length-match=False\n cipher='ghiik' candidate='hatter' length-match=False\n cipher='ghiik' candidate='cheshire' length-match=False\n cipher='ghiik' candidate='queen' length-match=True <- assign\n cipher='ghiik' candidate='tea' length-match=False\n cipher='ghiik' candidate='cake' length-match=False\n cipher='ghiik' candidate='garden' length-match=False\n cipher='ghiik' candidate='mushroom' length-match=False\n cipher='ghiik' candidate='card' length-match=False\n cipher='ghiik' candidate='card' length-match=False\n cipher='ghiik' candidate='wonderland' length-match=False\n cipher='ghiik' candidate='white' length-match=True\n cipher='ghiik' candidate='down' length-match=False\n cipher='ghiik' candidate='smile' length-match=True\n cipher='ghiik' candidate='smiled' length-match=False\n cipher='ghiik' candidate='looking' length-match=False\n cipher='ghiik' candidate='glass' length-match=True\n cipher='ghiik' candidate='march' length-match=True\n cipher='ghiik' candidate='hare' length-match=False\n cipher='ghiik' candidate='dormouse' length-match=False\n cipher='zhdxrttz' candidate='alice' length-match=False\n cipher='zhdxrttz' candidate='rabbit' length-match=False\n cipher='zhdxrttz' candidate='hatter' length-match=False\n cipher='zhdxrttz' candidate='cheshire' length-match=True\n cipher='zhdxrttz' candidate='queen' length-match=False\n cipher='zhdxrttz' candidate='tea' length-match=False\n cipher='zhdxrttz' candidate='cake' length-match=False\n cipher='zhdxrttz' candidate='garden' length-match=False\n cipher='zhdxrttz' candidate='mushroom' length-match=True <- assign\n cipher='zhdxrttz' candidate='card' length-match=False\n cipher='zhdxrttz' candidate='card' length-match=False\n cipher='zhdxrttz' candidate='wonderland' length-match=False\n cipher='zhdxrttz' candidate='white' length-match=False\n cipher='zhdxrttz' candidate='down' length-match=False\n cipher='zhdxrttz' candidate='smile' length-match=False\n cipher='zhdxrttz' candidate='smiled' length-match=False\n cipher='zhdxrttz' candidate='looking' length-match=False\n cipher='zhdxrttz' candidate='glass' length-match=False\n cipher='zhdxrttz' candidate='march' length-match=False\n cipher='zhdxrttz' candidate='hare' length-match=False\n cipher='zhdxrttz' candidate='dormouse' length-match=True\n cipher='wvydd' candidate='alice' length-match=True\n cipher='wvydd' candidate='rabbit' length-match=False\n cipher='wvydd' candidate='hatter' length-match=False\n cipher='wvydd' candidate='cheshire' length-match=False\n cipher='wvydd' candidate='queen' length-match=True\n cipher='wvydd' candidate='tea' length-match=False\n cipher='wvydd' candidate='cake' length-match=False\n cipher='wvydd' candidate='garden' length-match=False\n cipher='wvydd' candidate='mushroom' length-match=False\n cipher='wvydd' candidate='card' length-match=False\n cipher='wvydd' candidate='card' length-match=False\n cipher='wvydd' candidate='wonderland' length-match=False\n cipher='wvydd' candidate='white' length-match=True\n cipher='wvydd' candidate='down' length-match=False\n cipher='wvydd' candidate='smile' length-match=True\n cipher='wvydd' candidate='smiled' length-match=False\n cipher='wvydd' candidate='looking' length-match=False\n cipher='wvydd' candidate='glass' length-match=True <- assign\n cipher='wvydd' candidate='march' length-match=True\n cipher='wvydd' candidate='hare' length-match=False\n cipher='wvydd' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card queen mushroom glass\nFinal: \\boxed{card queen mushroom glass}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 70 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 70 litres = 70 * 1000 millilitres.\nCompute step by step:\n 7 * 10^1 * 1000 = 70000\n running total = 70000\n 0 * 10^0 * 1000 = 0\n running total = 70000\nFinal: \\boxed{70000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n habgalpz csvxz btyyvx rtbhzo\n### Reasoning:\n<|cot_start|>Cipher text: habgalpz csvxz btyyvx rtbhzo\nTry each candidate Wonderland word against each ciphertext word:\n cipher='habgalpz' candidate='alice' length-match=False\n cipher='habgalpz' candidate='rabbit' length-match=False\n cipher='habgalpz' candidate='hatter' length-match=False\n cipher='habgalpz' candidate='cheshire' length-match=True\n cipher='habgalpz' candidate='queen' length-match=False\n cipher='habgalpz' candidate='tea' length-match=False\n cipher='habgalpz' candidate='cake' length-match=False\n cipher='habgalpz' candidate='garden' length-match=False\n cipher='habgalpz' candidate='mushroom' length-match=True\n cipher='habgalpz' candidate='card' length-match=False\n cipher='habgalpz' candidate='card' length-match=False\n cipher='habgalpz' candidate='wonderland' length-match=False\n cipher='habgalpz' candidate='white' length-match=False\n cipher='habgalpz' candidate='down' length-match=False\n cipher='habgalpz' candidate='smile' length-match=False\n cipher='habgalpz' candidate='smiled' length-match=False\n cipher='habgalpz' candidate='looking' length-match=False\n cipher='habgalpz' candidate='glass' length-match=False\n cipher='habgalpz' candidate='march' length-match=False\n cipher='habgalpz' candidate='hare' length-match=False\n cipher='habgalpz' candidate='dormouse' length-match=True <- assign\n cipher='csvxz' candidate='alice' length-match=True\n cipher='csvxz' candidate='rabbit' length-match=False\n cipher='csvxz' candidate='hatter' length-match=False\n cipher='csvxz' candidate='cheshire' length-match=False\n cipher='csvxz' candidate='queen' length-match=True\n cipher='csvxz' candidate='tea' length-match=False\n cipher='csvxz' candidate='cake' length-match=False\n cipher='csvxz' candidate='garden' length-match=False\n cipher='csvxz' candidate='mushroom' length-match=False\n cipher='csvxz' candidate='card' length-match=False\n cipher='csvxz' candidate='card' length-match=False\n cipher='csvxz' candidate='wonderland' length-match=False\n cipher='csvxz' candidate='white' length-match=True <- assign\n cipher='csvxz' candidate='down' length-match=False\n cipher='csvxz' candidate='smile' length-match=True\n cipher='csvxz' candidate='smiled' length-match=False\n cipher='csvxz' candidate='looking' length-match=False\n cipher='csvxz' candidate='glass' length-match=True\n cipher='csvxz' candidate='march' length-match=True\n cipher='csvxz' candidate='hare' length-match=False\n cipher='csvxz' candidate='dormouse' length-match=False\n cipher='btyyvx' candidate='alice' length-match=False\n cipher='btyyvx' candidate='rabbit' length-match=True <- assign\n cipher='btyyvx' candidate='hatter' length-match=True\n cipher='btyyvx' candidate='cheshire' length-match=False\n cipher='btyyvx' candidate='queen' length-match=False\n cipher='btyyvx' candidate='tea' length-match=False\n cipher='btyyvx' candidate='cake' length-match=False\n cipher='btyyvx' candidate='garden' length-match=True\n cipher='btyyvx' candidate='mushroom' length-match=False\n cipher='btyyvx' candidate='card' length-match=False\n cipher='btyyvx' candidate='card' length-match=False\n cipher='btyyvx' candidate='wonderland' length-match=False\n cipher='btyyvx' candidate='white' length-match=False\n cipher='btyyvx' candidate='down' length-match=False\n cipher='btyyvx' candidate='smile' length-match=False\n cipher='btyyvx' candidate='smiled' length-match=True\n cipher='btyyvx' candidate='looking' length-match=False\n cipher='btyyvx' candidate='glass' length-match=False\n cipher='btyyvx' candidate='march' length-match=False\n cipher='btyyvx' candidate='hare' length-match=False\n cipher='btyyvx' candidate='dormouse' length-match=False\n cipher='rtbhzo' candidate='alice' length-match=False\n cipher='rtbhzo' candidate='rabbit' length-match=True\n cipher='rtbhzo' candidate='hatter' length-match=True\n cipher='rtbhzo' candidate='cheshire' length-match=False\n cipher='rtbhzo' candidate='queen' length-match=False\n cipher='rtbhzo' candidate='tea' length-match=False\n cipher='rtbhzo' candidate='cake' length-match=False\n cipher='rtbhzo' candidate='garden' length-match=True <- assign\n cipher='rtbhzo' candidate='mushroom' length-match=False\n cipher='rtbhzo' candidate='card' length-match=False\n cipher='rtbhzo' candidate='card' length-match=False\n cipher='rtbhzo' candidate='wonderland' length-match=False\n cipher='rtbhzo' candidate='white' length-match=False\n cipher='rtbhzo' candidate='down' length-match=False\n cipher='rtbhzo' candidate='smile' length-match=False\n cipher='rtbhzo' candidate='smiled' length-match=True\n cipher='rtbhzo' candidate='looking' length-match=False\n cipher='rtbhzo' candidate='glass' length-match=False\n cipher='rtbhzo' candidate='march' length-match=False\n cipher='rtbhzo' candidate='hare' length-match=False\n cipher='rtbhzo' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n dormouse white rabbit garden\nFinal: \\boxed{dormouse white rabbit garden}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10001101 -> 00100111\n 10000101 -> 00101111\n 01000111 -> 11101101\nApply to: 00010100\n### Reasoning:\n<|cot_start|>Given examples:\n 10001101 -> 00100111\n 10000101 -> 00101111\n 01000111 -> 11101101\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 0,0,1\n bit 1: 0,0,1 -> 0,0,1\n bit 2: 0,0,0 -> 1,1,1\n bit 3: 0,0,0 -> 0,0,0\n bit 4: 1,0,0 -> 0,1,1\n bit 5: 1,1,1 -> 1,1,1\n bit 6: 0,0,1 -> 1,1,0\n bit 7: 1,1,1 -> 1,1,1\nDeduce rule: xor 0xAA.\nApply to 00010100:\n result = 10111110\nFinal: \\boxed{10111110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n I = 1 -> 70 + 1 = 71\nFinal: \\boxed{71}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 68,69 -> 6869\n 43,70 -> 4370\n 22,20 -> 2220\nApply to: 97,32\n### Reasoning:\n<|cot_start|>Examples:\n 68,69 -> 6869\n 43,70 -> 4370\n 22,20 -> 2220\nCheck both candidate forms:\n concat(68,69)=6869 rev_concat(68,69)=6968 target=6869 concat\n concat(43,70)=4370 rev_concat(43,70)=7043 target=4370 concat\n concat(22,20)=2220 rev_concat(22,20)=2022 target=2220 concat\nConclude operator: concat.\nApply to (97, 32): answer = 9732\nFinal: \\boxed{9732}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n hnqtcvuaqt hdwpc oavt odcldwvc\n### Reasoning:\n<|cot_start|>Cipher text: hnqtcvuaqt hdwpc oavt odcldwvc\nTry each candidate Wonderland word against each ciphertext word:\n cipher='hnqtcvuaqt' candidate='alice' length-match=False\n cipher='hnqtcvuaqt' candidate='rabbit' length-match=False\n cipher='hnqtcvuaqt' candidate='hatter' length-match=False\n cipher='hnqtcvuaqt' candidate='cheshire' length-match=False\n cipher='hnqtcvuaqt' candidate='queen' length-match=False\n cipher='hnqtcvuaqt' candidate='tea' length-match=False\n cipher='hnqtcvuaqt' candidate='cake' length-match=False\n cipher='hnqtcvuaqt' candidate='garden' length-match=False\n cipher='hnqtcvuaqt' candidate='mushroom' length-match=False\n cipher='hnqtcvuaqt' candidate='card' length-match=False\n cipher='hnqtcvuaqt' candidate='card' length-match=False\n cipher='hnqtcvuaqt' candidate='wonderland' length-match=True <- assign\n cipher='hnqtcvuaqt' candidate='white' length-match=False\n cipher='hnqtcvuaqt' candidate='down' length-match=False\n cipher='hnqtcvuaqt' candidate='smile' length-match=False\n cipher='hnqtcvuaqt' candidate='smiled' length-match=False\n cipher='hnqtcvuaqt' candidate='looking' length-match=False\n cipher='hnqtcvuaqt' candidate='glass' length-match=False\n cipher='hnqtcvuaqt' candidate='march' length-match=False\n cipher='hnqtcvuaqt' candidate='hare' length-match=False\n cipher='hnqtcvuaqt' candidate='dormouse' length-match=False\n cipher='hdwpc' candidate='alice' length-match=True\n cipher='hdwpc' candidate='rabbit' length-match=False\n cipher='hdwpc' candidate='hatter' length-match=False\n cipher='hdwpc' candidate='cheshire' length-match=False\n cipher='hdwpc' candidate='queen' length-match=True\n cipher='hdwpc' candidate='tea' length-match=False\n cipher='hdwpc' candidate='cake' length-match=False\n cipher='hdwpc' candidate='garden' length-match=False\n cipher='hdwpc' candidate='mushroom' length-match=False\n cipher='hdwpc' candidate='card' length-match=False\n cipher='hdwpc' candidate='card' length-match=False\n cipher='hdwpc' candidate='wonderland' length-match=False\n cipher='hdwpc' candidate='white' length-match=True <- assign\n cipher='hdwpc' candidate='down' length-match=False\n cipher='hdwpc' candidate='smile' length-match=True\n cipher='hdwpc' candidate='smiled' length-match=False\n cipher='hdwpc' candidate='looking' length-match=False\n cipher='hdwpc' candidate='glass' length-match=True\n cipher='hdwpc' candidate='march' length-match=True\n cipher='hdwpc' candidate='hare' length-match=False\n cipher='hdwpc' candidate='dormouse' length-match=False\n cipher='oavt' candidate='alice' length-match=False\n cipher='oavt' candidate='rabbit' length-match=False\n cipher='oavt' candidate='hatter' length-match=False\n cipher='oavt' candidate='cheshire' length-match=False\n cipher='oavt' candidate='queen' length-match=False\n cipher='oavt' candidate='tea' length-match=False\n cipher='oavt' candidate='cake' length-match=True\n cipher='oavt' candidate='garden' length-match=False\n cipher='oavt' candidate='mushroom' length-match=False\n cipher='oavt' candidate='card' length-match=True <- assign\n cipher='oavt' candidate='card' length-match=True <- assign\n cipher='oavt' candidate='wonderland' length-match=False\n cipher='oavt' candidate='white' length-match=False\n cipher='oavt' candidate='down' length-match=True\n cipher='oavt' candidate='smile' length-match=False\n cipher='oavt' candidate='smiled' length-match=False\n cipher='oavt' candidate='looking' length-match=False\n cipher='oavt' candidate='glass' length-match=False\n cipher='oavt' candidate='march' length-match=False\n cipher='oavt' candidate='hare' length-match=True\n cipher='oavt' candidate='dormouse' length-match=False\n cipher='odcldwvc' candidate='alice' length-match=False\n cipher='odcldwvc' candidate='rabbit' length-match=False\n cipher='odcldwvc' candidate='hatter' length-match=False\n cipher='odcldwvc' candidate='cheshire' length-match=True <- assign\n cipher='odcldwvc' candidate='queen' length-match=False\n cipher='odcldwvc' candidate='tea' length-match=False\n cipher='odcldwvc' candidate='cake' length-match=False\n cipher='odcldwvc' candidate='garden' length-match=False\n cipher='odcldwvc' candidate='mushroom' length-match=True\n cipher='odcldwvc' candidate='card' length-match=False\n cipher='odcldwvc' candidate='card' length-match=False\n cipher='odcldwvc' candidate='wonderland' length-match=False\n cipher='odcldwvc' candidate='white' length-match=False\n cipher='odcldwvc' candidate='down' length-match=False\n cipher='odcldwvc' candidate='smile' length-match=False\n cipher='odcldwvc' candidate='smiled' length-match=False\n cipher='odcldwvc' candidate='looking' length-match=False\n cipher='odcldwvc' candidate='glass' length-match=False\n cipher='odcldwvc' candidate='march' length-match=False\n cipher='odcldwvc' candidate='hare' length-match=False\n cipher='odcldwvc' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n wonderland white card cheshire\nFinal: \\boxed{wonderland white card cheshire}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n qaxpzl batz vcyiz jaxz\n### Reasoning:\n<|cot_start|>Cipher text: qaxpzl batz vcyiz jaxz\nTry each candidate Wonderland word against each ciphertext word:\n cipher='qaxpzl' candidate='alice' length-match=False\n cipher='qaxpzl' candidate='rabbit' length-match=True\n cipher='qaxpzl' candidate='hatter' length-match=True\n cipher='qaxpzl' candidate='cheshire' length-match=False\n cipher='qaxpzl' candidate='queen' length-match=False\n cipher='qaxpzl' candidate='tea' length-match=False\n cipher='qaxpzl' candidate='cake' length-match=False\n cipher='qaxpzl' candidate='garden' length-match=True <- assign\n cipher='qaxpzl' candidate='mushroom' length-match=False\n cipher='qaxpzl' candidate='card' length-match=False\n cipher='qaxpzl' candidate='card' length-match=False\n cipher='qaxpzl' candidate='wonderland' length-match=False\n cipher='qaxpzl' candidate='white' length-match=False\n cipher='qaxpzl' candidate='down' length-match=False\n cipher='qaxpzl' candidate='smile' length-match=False\n cipher='qaxpzl' candidate='smiled' length-match=True\n cipher='qaxpzl' candidate='looking' length-match=False\n cipher='qaxpzl' candidate='glass' length-match=False\n cipher='qaxpzl' candidate='march' length-match=False\n cipher='qaxpzl' candidate='hare' length-match=False\n cipher='qaxpzl' candidate='dormouse' length-match=False\n cipher='batz' candidate='alice' length-match=False\n cipher='batz' candidate='rabbit' length-match=False\n cipher='batz' candidate='hatter' length-match=False\n cipher='batz' candidate='cheshire' length-match=False\n cipher='batz' candidate='queen' length-match=False\n cipher='batz' candidate='tea' length-match=False\n cipher='batz' candidate='cake' length-match=True <- assign\n cipher='batz' candidate='garden' length-match=False\n cipher='batz' candidate='mushroom' length-match=False\n cipher='batz' candidate='card' length-match=True\n cipher='batz' candidate='card' length-match=True\n cipher='batz' candidate='wonderland' length-match=False\n cipher='batz' candidate='white' length-match=False\n cipher='batz' candidate='down' length-match=True\n cipher='batz' candidate='smile' length-match=False\n cipher='batz' candidate='smiled' length-match=False\n cipher='batz' candidate='looking' length-match=False\n cipher='batz' candidate='glass' length-match=False\n cipher='batz' candidate='march' length-match=False\n cipher='batz' candidate='hare' length-match=True\n cipher='batz' candidate='dormouse' length-match=False\n cipher='vcyiz' candidate='alice' length-match=True\n cipher='vcyiz' candidate='rabbit' length-match=False\n cipher='vcyiz' candidate='hatter' length-match=False\n cipher='vcyiz' candidate='cheshire' length-match=False\n cipher='vcyiz' candidate='queen' length-match=True\n cipher='vcyiz' candidate='tea' length-match=False\n cipher='vcyiz' candidate='cake' length-match=False\n cipher='vcyiz' candidate='garden' length-match=False\n cipher='vcyiz' candidate='mushroom' length-match=False\n cipher='vcyiz' candidate='card' length-match=False\n cipher='vcyiz' candidate='card' length-match=False\n cipher='vcyiz' candidate='wonderland' length-match=False\n cipher='vcyiz' candidate='white' length-match=True\n cipher='vcyiz' candidate='down' length-match=False\n cipher='vcyiz' candidate='smile' length-match=True <- assign\n cipher='vcyiz' candidate='smiled' length-match=False\n cipher='vcyiz' candidate='looking' length-match=False\n cipher='vcyiz' candidate='glass' length-match=True\n cipher='vcyiz' candidate='march' length-match=True\n cipher='vcyiz' candidate='hare' length-match=False\n cipher='vcyiz' candidate='dormouse' length-match=False\n cipher='jaxz' candidate='alice' length-match=False\n cipher='jaxz' candidate='rabbit' length-match=False\n cipher='jaxz' candidate='hatter' length-match=False\n cipher='jaxz' candidate='cheshire' length-match=False\n cipher='jaxz' candidate='queen' length-match=False\n cipher='jaxz' candidate='tea' length-match=False\n cipher='jaxz' candidate='cake' length-match=True\n cipher='jaxz' candidate='garden' length-match=False\n cipher='jaxz' candidate='mushroom' length-match=False\n cipher='jaxz' candidate='card' length-match=True\n cipher='jaxz' candidate='card' length-match=True\n cipher='jaxz' candidate='wonderland' length-match=False\n cipher='jaxz' candidate='white' length-match=False\n cipher='jaxz' candidate='down' length-match=True\n cipher='jaxz' candidate='smile' length-match=False\n cipher='jaxz' candidate='smiled' length-match=False\n cipher='jaxz' candidate='looking' length-match=False\n cipher='jaxz' candidate='glass' length-match=False\n cipher='jaxz' candidate='march' length-match=False\n cipher='jaxz' candidate='hare' length-match=True <- assign\n cipher='jaxz' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n garden cake smile hare\nFinal: \\boxed{garden cake smile hare}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10010100 -> 00111110\n 11001011 -> 01100001\n 11100001 -> 01001011\nApply to: 10011111\n### Reasoning:\n<|cot_start|>Given examples:\n 10010100 -> 00111110\n 11001011 -> 01100001\n 11100001 -> 01001011\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,0,0\n bit 1: 0,1,1 -> 0,1,1\n bit 2: 0,0,1 -> 1,1,0\n bit 3: 1,0,0 -> 1,0,0\n bit 4: 0,1,0 -> 1,0,1\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 0,1,0 -> 1,0,1\n bit 7: 0,1,1 -> 0,1,1\nDeduce rule: xor 0xAA.\nApply to 10011111:\n result = 00110101\nFinal: \\boxed{00110101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n qibkinyf bpaasm diivsct hpmmfb\n### Reasoning:\n<|cot_start|>Cipher text: qibkinyf bpaasm diivsct hpmmfb\nTry each candidate Wonderland word against each ciphertext word:\n cipher='qibkinyf' candidate='alice' length-match=False\n cipher='qibkinyf' candidate='rabbit' length-match=False\n cipher='qibkinyf' candidate='hatter' length-match=False\n cipher='qibkinyf' candidate='cheshire' length-match=True\n cipher='qibkinyf' candidate='queen' length-match=False\n cipher='qibkinyf' candidate='tea' length-match=False\n cipher='qibkinyf' candidate='cake' length-match=False\n cipher='qibkinyf' candidate='garden' length-match=False\n cipher='qibkinyf' candidate='mushroom' length-match=True\n cipher='qibkinyf' candidate='card' length-match=False\n cipher='qibkinyf' candidate='card' length-match=False\n cipher='qibkinyf' candidate='wonderland' length-match=False\n cipher='qibkinyf' candidate='white' length-match=False\n cipher='qibkinyf' candidate='down' length-match=False\n cipher='qibkinyf' candidate='smile' length-match=False\n cipher='qibkinyf' candidate='smiled' length-match=False\n cipher='qibkinyf' candidate='looking' length-match=False\n cipher='qibkinyf' candidate='glass' length-match=False\n cipher='qibkinyf' candidate='march' length-match=False\n cipher='qibkinyf' candidate='hare' length-match=False\n cipher='qibkinyf' candidate='dormouse' length-match=True <- assign\n cipher='bpaasm' candidate='alice' length-match=False\n cipher='bpaasm' candidate='rabbit' length-match=True <- assign\n cipher='bpaasm' candidate='hatter' length-match=True\n cipher='bpaasm' candidate='cheshire' length-match=False\n cipher='bpaasm' candidate='queen' length-match=False\n cipher='bpaasm' candidate='tea' length-match=False\n cipher='bpaasm' candidate='cake' length-match=False\n cipher='bpaasm' candidate='garden' length-match=True\n cipher='bpaasm' candidate='mushroom' length-match=False\n cipher='bpaasm' candidate='card' length-match=False\n cipher='bpaasm' candidate='card' length-match=False\n cipher='bpaasm' candidate='wonderland' length-match=False\n cipher='bpaasm' candidate='white' length-match=False\n cipher='bpaasm' candidate='down' length-match=False\n cipher='bpaasm' candidate='smile' length-match=False\n cipher='bpaasm' candidate='smiled' length-match=True\n cipher='bpaasm' candidate='looking' length-match=False\n cipher='bpaasm' candidate='glass' length-match=False\n cipher='bpaasm' candidate='march' length-match=False\n cipher='bpaasm' candidate='hare' length-match=False\n cipher='bpaasm' candidate='dormouse' length-match=False\n cipher='diivsct' candidate='alice' length-match=False\n cipher='diivsct' candidate='rabbit' length-match=False\n cipher='diivsct' candidate='hatter' length-match=False\n cipher='diivsct' candidate='cheshire' length-match=False\n cipher='diivsct' candidate='queen' length-match=False\n cipher='diivsct' candidate='tea' length-match=False\n cipher='diivsct' candidate='cake' length-match=False\n cipher='diivsct' candidate='garden' length-match=False\n cipher='diivsct' candidate='mushroom' length-match=False\n cipher='diivsct' candidate='card' length-match=False\n cipher='diivsct' candidate='card' length-match=False\n cipher='diivsct' candidate='wonderland' length-match=False\n cipher='diivsct' candidate='white' length-match=False\n cipher='diivsct' candidate='down' length-match=False\n cipher='diivsct' candidate='smile' length-match=False\n cipher='diivsct' candidate='smiled' length-match=False\n cipher='diivsct' candidate='looking' length-match=True <- assign\n cipher='diivsct' candidate='glass' length-match=False\n cipher='diivsct' candidate='march' length-match=False\n cipher='diivsct' candidate='hare' length-match=False\n cipher='diivsct' candidate='dormouse' length-match=False\n cipher='hpmmfb' candidate='alice' length-match=False\n cipher='hpmmfb' candidate='rabbit' length-match=True\n cipher='hpmmfb' candidate='hatter' length-match=True <- assign\n cipher='hpmmfb' candidate='cheshire' length-match=False\n cipher='hpmmfb' candidate='queen' length-match=False\n cipher='hpmmfb' candidate='tea' length-match=False\n cipher='hpmmfb' candidate='cake' length-match=False\n cipher='hpmmfb' candidate='garden' length-match=True\n cipher='hpmmfb' candidate='mushroom' length-match=False\n cipher='hpmmfb' candidate='card' length-match=False\n cipher='hpmmfb' candidate='card' length-match=False\n cipher='hpmmfb' candidate='wonderland' length-match=False\n cipher='hpmmfb' candidate='white' length-match=False\n cipher='hpmmfb' candidate='down' length-match=False\n cipher='hpmmfb' candidate='smile' length-match=False\n cipher='hpmmfb' candidate='smiled' length-match=True\n cipher='hpmmfb' candidate='looking' length-match=False\n cipher='hpmmfb' candidate='glass' length-match=False\n cipher='hpmmfb' candidate='march' length-match=False\n cipher='hpmmfb' candidate='hare' length-match=False\n cipher='hpmmfb' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n dormouse rabbit looking hatter\nFinal: \\boxed{dormouse rabbit looking hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 15,86 -> 1586\n 38,82 -> 3882\n 10,67 -> 1067\nApply to: 11,63\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 15,86: '+' gives 101; target=1586 no\n 15,86: '-' gives 71; target=1586 no\n 15,86: '*' gives 1290; target=1586 no\n 15,86: 'concat' gives 1586; target=1586 MATCH\n 15,86: 'rev_concat' gives 8615; target=1586 no\n 15,86: 'max*min+sum' gives 1391; target=1586 no\n 15,86: 'digitsum2' gives 400; target=1586 no\n 38,82: '+' gives 120; target=3882 no\n 38,82: '-' gives 44; target=3882 no\n 38,82: '*' gives 3116; target=3882 no\n 38,82: 'concat' gives 3882; target=3882 MATCH\n 38,82: 'rev_concat' gives 8238; target=3882 no\n 38,82: 'max*min+sum' gives 3236; target=3882 no\n 38,82: 'digitsum2' gives 441; target=3882 no\n 10,67: '+' gives 77; target=1067 no\n 10,67: '-' gives 57; target=1067 no\n 10,67: '*' gives 670; target=1067 no\n 10,67: 'concat' gives 1067; target=1067 MATCH\n 10,67: 'rev_concat' gives 6710; target=1067 no\n 10,67: 'max*min+sum' gives 747; target=1067 no\n 10,67: 'digitsum2' gives 196; target=1067 no\nThe only operator consistent with all examples is 'concat'.\nApply to (11, 63):\n result = 1163\nFinal: \\boxed{1163}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n I = 1 -> 30 + 1 = 31\nFinal: \\boxed{31}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 63,13 -> 50\n 48,32 -> 16\n 83,30 -> 53\nApply to: 20,63\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 63,13: '+' gives 76; target=50 no\n 63,13: '-' gives 50; target=50 MATCH\n 63,13: '*' gives 819; target=50 no\n 63,13: 'concat' gives 6313; target=50 no\n 63,13: 'rev_concat' gives 1363; target=50 no\n 63,13: 'max*min+sum' gives 895; target=50 no\n 63,13: 'digitsum2' gives 169; target=50 no\n 48,32: '+' gives 80; target=16 no\n 48,32: '-' gives 16; target=16 MATCH\n 48,32: '*' gives 1536; target=16 no\n 48,32: 'concat' gives 4832; target=16 no\n 48,32: 'rev_concat' gives 3248; target=16 no\n 48,32: 'max*min+sum' gives 1616; target=16 no\n 48,32: 'digitsum2' gives 289; target=16 no\n 83,30: '+' gives 113; target=53 no\n 83,30: '-' gives 53; target=53 MATCH\n 83,30: '*' gives 2490; target=53 no\n 83,30: 'concat' gives 8330; target=53 no\n 83,30: 'rev_concat' gives 3083; target=53 no\n 83,30: 'max*min+sum' gives 2603; target=53 no\n 83,30: 'digitsum2' gives 196; target=53 no\nThe only operator consistent with all examples is '-'.\nApply to (20, 63):\n result = 43\nFinal: \\boxed{43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 29 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 29 kilometres = 29 * 1000 metres.\nCompute step by step:\n 2 * 10^1 * 1000 = 20000\n running total = 20000\n 9 * 10^0 * 1000 = 9000\n running total = 29000\nFinal: \\boxed{29000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00001011 -> 11110100\n 11010100 -> 00101011\n 00101011 -> 11010100\nApply to: 10001110\n### Reasoning:\n<|cot_start|>Given examples:\n 00001011 -> 11110100\n 11010100 -> 00101011\n 00101011 -> 11010100\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 1,0,1\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 0,0,1 -> 1,1,0\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 1,0,1 -> 0,1,0\n bit 5: 0,1,0 -> 1,0,1\n bit 6: 1,0,1 -> 0,1,0\n bit 7: 1,0,1 -> 0,1,0\nDeduce rule: invert (NOT).\nApply to 10001110:\n result = 01110001\nFinal: \\boxed{01110001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00111011 -> 01101110\n 11110010 -> 10100111\n 10010000 -> 11000101\nApply to: 10011100\n### Reasoning:\n<|cot_start|>Given examples:\n 00111011 -> 01101110\n 11110010 -> 10100111\n 10010000 -> 11000101\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,1,1\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 1,1,0 -> 1,1,0\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 1,0,0 -> 1,0,0\n bit 5: 0,0,0 -> 1,1,1\n bit 6: 1,1,0 -> 1,1,0\n bit 7: 1,0,0 -> 0,1,1\nDeduce rule: xor 0x55.\nApply to 10011100:\n result = 11001001\nFinal: \\boxed{11001001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 96,70 -> 9670\n 88,27 -> 8827\n 13,86 -> 1386\nApply to: 60,94\n### Reasoning:\n<|cot_start|>Examples:\n 96,70 -> 9670\n 88,27 -> 8827\n 13,86 -> 1386\nCheck both candidate forms:\n concat(96,70)=9670 rev_concat(96,70)=7096 target=9670 concat\n concat(88,27)=8827 rev_concat(88,27)=2788 target=8827 concat\n concat(13,86)=1386 rev_concat(13,86)=8613 target=1386 concat\nConclude operator: concat.\nApply to (60, 94): answer = 6094\nFinal: \\boxed{6094}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 32 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 32 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 2 * 10^0 * 981 = 1962\n running total = 31392\nSo F = 31392 centiNewtons = 313.92 N.\nFinal: \\boxed{313.92}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n ojyhh qgiis fubwi lnatnghi\n### Reasoning:\n<|cot_start|>Cipher text: ojyhh qgiis fubwi lnatnghi\nTry each candidate Wonderland word against each ciphertext word:\n cipher='ojyhh' candidate='alice' length-match=True\n cipher='ojyhh' candidate='rabbit' length-match=False\n cipher='ojyhh' candidate='hatter' length-match=False\n cipher='ojyhh' candidate='cheshire' length-match=False\n cipher='ojyhh' candidate='queen' length-match=True\n cipher='ojyhh' candidate='tea' length-match=False\n cipher='ojyhh' candidate='cake' length-match=False\n cipher='ojyhh' candidate='garden' length-match=False\n cipher='ojyhh' candidate='mushroom' length-match=False\n cipher='ojyhh' candidate='card' length-match=False\n cipher='ojyhh' candidate='card' length-match=False\n cipher='ojyhh' candidate='wonderland' length-match=False\n cipher='ojyhh' candidate='white' length-match=True\n cipher='ojyhh' candidate='down' length-match=False\n cipher='ojyhh' candidate='smile' length-match=True\n cipher='ojyhh' candidate='smiled' length-match=False\n cipher='ojyhh' candidate='looking' length-match=False\n cipher='ojyhh' candidate='glass' length-match=True <- assign\n cipher='ojyhh' candidate='march' length-match=True\n cipher='ojyhh' candidate='hare' length-match=False\n cipher='ojyhh' candidate='dormouse' length-match=False\n cipher='qgiis' candidate='alice' length-match=True\n cipher='qgiis' candidate='rabbit' length-match=False\n cipher='qgiis' candidate='hatter' length-match=False\n cipher='qgiis' candidate='cheshire' length-match=False\n cipher='qgiis' candidate='queen' length-match=True <- assign\n cipher='qgiis' candidate='tea' length-match=False\n cipher='qgiis' candidate='cake' length-match=False\n cipher='qgiis' candidate='garden' length-match=False\n cipher='qgiis' candidate='mushroom' length-match=False\n cipher='qgiis' candidate='card' length-match=False\n cipher='qgiis' candidate='card' length-match=False\n cipher='qgiis' candidate='wonderland' length-match=False\n cipher='qgiis' candidate='white' length-match=True\n cipher='qgiis' candidate='down' length-match=False\n cipher='qgiis' candidate='smile' length-match=True\n cipher='qgiis' candidate='smiled' length-match=False\n cipher='qgiis' candidate='looking' length-match=False\n cipher='qgiis' candidate='glass' length-match=True\n cipher='qgiis' candidate='march' length-match=True\n cipher='qgiis' candidate='hare' length-match=False\n cipher='qgiis' candidate='dormouse' length-match=False\n cipher='fubwi' candidate='alice' length-match=True\n cipher='fubwi' candidate='rabbit' length-match=False\n cipher='fubwi' candidate='hatter' length-match=False\n cipher='fubwi' candidate='cheshire' length-match=False\n cipher='fubwi' candidate='queen' length-match=True\n cipher='fubwi' candidate='tea' length-match=False\n cipher='fubwi' candidate='cake' length-match=False\n cipher='fubwi' candidate='garden' length-match=False\n cipher='fubwi' candidate='mushroom' length-match=False\n cipher='fubwi' candidate='card' length-match=False\n cipher='fubwi' candidate='card' length-match=False\n cipher='fubwi' candidate='wonderland' length-match=False\n cipher='fubwi' candidate='white' length-match=True <- assign\n cipher='fubwi' candidate='down' length-match=False\n cipher='fubwi' candidate='smile' length-match=True\n cipher='fubwi' candidate='smiled' length-match=False\n cipher='fubwi' candidate='looking' length-match=False\n cipher='fubwi' candidate='glass' length-match=True\n cipher='fubwi' candidate='march' length-match=True\n cipher='fubwi' candidate='hare' length-match=False\n cipher='fubwi' candidate='dormouse' length-match=False\n cipher='lnatnghi' candidate='alice' length-match=False\n cipher='lnatnghi' candidate='rabbit' length-match=False\n cipher='lnatnghi' candidate='hatter' length-match=False\n cipher='lnatnghi' candidate='cheshire' length-match=True\n cipher='lnatnghi' candidate='queen' length-match=False\n cipher='lnatnghi' candidate='tea' length-match=False\n cipher='lnatnghi' candidate='cake' length-match=False\n cipher='lnatnghi' candidate='garden' length-match=False\n cipher='lnatnghi' candidate='mushroom' length-match=True\n cipher='lnatnghi' candidate='card' length-match=False\n cipher='lnatnghi' candidate='card' length-match=False\n cipher='lnatnghi' candidate='wonderland' length-match=False\n cipher='lnatnghi' candidate='white' length-match=False\n cipher='lnatnghi' candidate='down' length-match=False\n cipher='lnatnghi' candidate='smile' length-match=False\n cipher='lnatnghi' candidate='smiled' length-match=False\n cipher='lnatnghi' candidate='looking' length-match=False\n cipher='lnatnghi' candidate='glass' length-match=False\n cipher='lnatnghi' candidate='march' length-match=False\n cipher='lnatnghi' candidate='hare' length-match=False\n cipher='lnatnghi' candidate='dormouse' length-match=True <- assign\nAssemble the decoded sentence:\n glass queen white dormouse\nFinal: \\boxed{glass queen white dormouse}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n I = 1 -> 10 + 1 = 11\n I = 1 -> 11 + 1 = 12\n I = 1 -> 12 + 1 = 13\nFinal: \\boxed{13}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 35 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 35 litres = 35 * 1000 millilitres.\nCompute step by step:\n 3 * 10^1 * 1000 = 30000\n running total = 30000\n 5 * 10^0 * 1000 = 5000\n running total = 35000\nFinal: \\boxed{35000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 8 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 8 * 981.\nStep-by-step multiplication:\n 8 * 10^0 * 981 = 7848\n running total = 7848\nSo F = 7848 centiNewtons = 78.48 N.\nFinal: \\boxed{78.48}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 65,35 -> 6535\n 48,87 -> 4887\n 78,84 -> 7884\nApply to: 16,16\n### Reasoning:\n<|cot_start|>Examples:\n 65,35 -> 6535\n 48,87 -> 4887\n 78,84 -> 7884\nCheck both candidate forms:\n concat(65,35)=6535 rev_concat(65,35)=3565 target=6535 concat\n concat(48,87)=4887 rev_concat(48,87)=8748 target=4887 concat\n concat(78,84)=7884 rev_concat(78,84)=8478 target=7884 concat\nConclude operator: concat.\nApply to (16, 16): answer = 1616\nFinal: \\boxed{1616}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 34,26 -> 944\n 32,98 -> 3266\n 44,45 -> 2069\nApply to: 96,51\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 34,26: '+' gives 60; target=944 no\n 34,26: '-' gives 8; target=944 no\n 34,26: '*' gives 884; target=944 no\n 34,26: 'concat' gives 3426; target=944 no\n 34,26: 'rev_concat' gives 2634; target=944 no\n 34,26: 'max*min+sum' gives 944; target=944 MATCH\n 34,26: 'digitsum2' gives 225; target=944 no\n 32,98: '+' gives 130; target=3266 no\n 32,98: '-' gives 66; target=3266 no\n 32,98: '*' gives 3136; target=3266 no\n 32,98: 'concat' gives 3298; target=3266 no\n 32,98: 'rev_concat' gives 9832; target=3266 no\n 32,98: 'max*min+sum' gives 3266; target=3266 MATCH\n 32,98: 'digitsum2' gives 484; target=3266 no\n 44,45: '+' gives 89; target=2069 no\n 44,45: '-' gives 1; target=2069 no\n 44,45: '*' gives 1980; target=2069 no\n 44,45: 'concat' gives 4445; target=2069 no\n 44,45: 'rev_concat' gives 4544; target=2069 no\n 44,45: 'max*min+sum' gives 2069; target=2069 MATCH\n 44,45: 'digitsum2' gives 289; target=2069 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (96, 51):\n result = 5043\nFinal: \\boxed{5043}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 24,49 -> 1249\n 94,49 -> 4749\n 84,56 -> 4844\nApply to: 33,10\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 24,49: '+' gives 73; target=1249 no\n 24,49: '-' gives 25; target=1249 no\n 24,49: '*' gives 1176; target=1249 no\n 24,49: 'concat' gives 2449; target=1249 no\n 24,49: 'rev_concat' gives 4924; target=1249 no\n 24,49: 'max*min+sum' gives 1249; target=1249 MATCH\n 24,49: 'digitsum2' gives 361; target=1249 no\n 94,49: '+' gives 143; target=4749 no\n 94,49: '-' gives 45; target=4749 no\n 94,49: '*' gives 4606; target=4749 no\n 94,49: 'concat' gives 9449; target=4749 no\n 94,49: 'rev_concat' gives 4994; target=4749 no\n 94,49: 'max*min+sum' gives 4749; target=4749 MATCH\n 94,49: 'digitsum2' gives 676; target=4749 no\n 84,56: '+' gives 140; target=4844 no\n 84,56: '-' gives 28; target=4844 no\n 84,56: '*' gives 4704; target=4844 no\n 84,56: 'concat' gives 8456; target=4844 no\n 84,56: 'rev_concat' gives 5684; target=4844 no\n 84,56: 'max*min+sum' gives 4844; target=4844 MATCH\n 84,56: 'digitsum2' gives 529; target=4844 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (33, 10):\n result = 373\nFinal: \\boxed{373}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01110100 -> 00111010\n 01011011 -> 10101101\n 10000001 -> 11000000\nApply to: 10111101\n### Reasoning:\n<|cot_start|>Given examples:\n 01110100 -> 00111010\n 01011011 -> 10101101\n 10000001 -> 11000000\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 0,1,1\n bit 1: 1,1,0 -> 0,0,1\n bit 2: 1,0,0 -> 1,1,0\n bit 3: 1,1,0 -> 1,0,0\n bit 4: 0,1,0 -> 1,1,0\n bit 5: 1,0,0 -> 0,1,0\n bit 6: 0,1,0 -> 1,0,0\n bit 7: 0,1,1 -> 0,1,0\nDeduce rule: rotate right 1.\nApply to 10111101:\n result = 11011110\nFinal: \\boxed{11011110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 72,63 -> 7263\n 42,87 -> 4287\n 34,80 -> 3480\nApply to: 14,80\n### Reasoning:\n<|cot_start|>Examples:\n 72,63 -> 7263\n 42,87 -> 4287\n 34,80 -> 3480\nCheck both candidate forms:\n concat(72,63)=7263 rev_concat(72,63)=6372 target=7263 concat\n concat(42,87)=4287 rev_concat(42,87)=8742 target=4287 concat\n concat(34,80)=3480 rev_concat(34,80)=8034 target=3480 concat\nConclude operator: concat.\nApply to (14, 80): answer = 1480\nFinal: \\boxed{1480}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 10,89 -> 324\n 52,93 -> 361\n 49,79 -> 841\nApply to: 38,84\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 10,89: '+' gives 99; target=324 no\n 10,89: '-' gives 79; target=324 no\n 10,89: '*' gives 890; target=324 no\n 10,89: 'concat' gives 1089; target=324 no\n 10,89: 'rev_concat' gives 8910; target=324 no\n 10,89: 'max*min+sum' gives 989; target=324 no\n 10,89: 'digitsum2' gives 324; target=324 MATCH\n 52,93: '+' gives 145; target=361 no\n 52,93: '-' gives 41; target=361 no\n 52,93: '*' gives 4836; target=361 no\n 52,93: 'concat' gives 5293; target=361 no\n 52,93: 'rev_concat' gives 9352; target=361 no\n 52,93: 'max*min+sum' gives 4981; target=361 no\n 52,93: 'digitsum2' gives 361; target=361 MATCH\n 49,79: '+' gives 128; target=841 no\n 49,79: '-' gives 30; target=841 no\n 49,79: '*' gives 3871; target=841 no\n 49,79: 'concat' gives 4979; target=841 no\n 49,79: 'rev_concat' gives 7949; target=841 no\n 49,79: 'max*min+sum' gives 3999; target=841 no\n 49,79: 'digitsum2' gives 841; target=841 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (38, 84):\n result = 529\nFinal: \\boxed{529}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 39 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 39 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 9 * 10^0 * 981 = 8829\n running total = 38259\nSo F = 38259 centiNewtons = 382.59 N.\nFinal: \\boxed{382.59}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 1 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 1 * 981.\nStep-by-step multiplication:\n 1 * 10^0 * 981 = 981\n running total = 981\nSo F = 981 centiNewtons = 9.81 N.\nFinal: \\boxed{9.81}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 44,72 -> 3284\n 57,47 -> 2783\n 17,43 -> 791\nApply to: 99,23\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 44,72: '+' gives 116; target=3284 no\n 44,72: '-' gives 28; target=3284 no\n 44,72: '*' gives 3168; target=3284 no\n 44,72: 'concat' gives 4472; target=3284 no\n 44,72: 'rev_concat' gives 7244; target=3284 no\n 44,72: 'max*min+sum' gives 3284; target=3284 MATCH\n 44,72: 'digitsum2' gives 289; target=3284 no\n 57,47: '+' gives 104; target=2783 no\n 57,47: '-' gives 10; target=2783 no\n 57,47: '*' gives 2679; target=2783 no\n 57,47: 'concat' gives 5747; target=2783 no\n 57,47: 'rev_concat' gives 4757; target=2783 no\n 57,47: 'max*min+sum' gives 2783; target=2783 MATCH\n 57,47: 'digitsum2' gives 529; target=2783 no\n 17,43: '+' gives 60; target=791 no\n 17,43: '-' gives 26; target=791 no\n 17,43: '*' gives 731; target=791 no\n 17,43: 'concat' gives 1743; target=791 no\n 17,43: 'rev_concat' gives 4317; target=791 no\n 17,43: 'max*min+sum' gives 791; target=791 MATCH\n 17,43: 'digitsum2' gives 225; target=791 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (99, 23):\n result = 2399\nFinal: \\boxed{2399}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11011001 -> 11101100\n 11101111 -> 11110111\n 01100011 -> 10110001\nApply to: 01010010\n### Reasoning:\n<|cot_start|>Given examples:\n 11011001 -> 11101100\n 11101111 -> 11110111\n 01100011 -> 10110001\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 1,1,1\n bit 1: 1,1,1 -> 1,1,0\n bit 2: 0,1,1 -> 1,1,1\n bit 3: 1,0,0 -> 0,1,1\n bit 4: 1,1,0 -> 1,0,0\n bit 5: 0,1,0 -> 1,1,0\n bit 6: 0,1,1 -> 0,1,0\n bit 7: 1,1,1 -> 0,1,1\nDeduce rule: rotate right 1.\nApply to 01010010:\n result = 00101001\nFinal: \\boxed{00101001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 6 hours to minutes.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 hours = 60 minutes.\nSo 6 hours = 6 * 60 minutes.\nCompute step by step:\n 6 * 10^0 * 60 = 360\n running total = 360\nFinal: \\boxed{360}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 31 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 31 minutes = 31 * 60 seconds.\nCompute step by step:\n 3 * 10^1 * 60 = 1800\n running total = 1800\n 1 * 10^0 * 60 = 60\n running total = 1860\nFinal: \\boxed{1860}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 15,21 -> 351\n 26,60 -> 1646\n 59,86 -> 5219\nApply to: 32,38\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 15,21: '+' gives 36; target=351 no\n 15,21: '-' gives 6; target=351 no\n 15,21: '*' gives 315; target=351 no\n 15,21: 'concat' gives 1521; target=351 no\n 15,21: 'rev_concat' gives 2115; target=351 no\n 15,21: 'max*min+sum' gives 351; target=351 MATCH\n 15,21: 'digitsum2' gives 81; target=351 no\n 26,60: '+' gives 86; target=1646 no\n 26,60: '-' gives 34; target=1646 no\n 26,60: '*' gives 1560; target=1646 no\n 26,60: 'concat' gives 2660; target=1646 no\n 26,60: 'rev_concat' gives 6026; target=1646 no\n 26,60: 'max*min+sum' gives 1646; target=1646 MATCH\n 26,60: 'digitsum2' gives 196; target=1646 no\n 59,86: '+' gives 145; target=5219 no\n 59,86: '-' gives 27; target=5219 no\n 59,86: '*' gives 5074; target=5219 no\n 59,86: 'concat' gives 5986; target=5219 no\n 59,86: 'rev_concat' gives 8659; target=5219 no\n 59,86: 'max*min+sum' gives 5219; target=5219 MATCH\n 59,86: 'digitsum2' gives 784; target=5219 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (32, 38):\n result = 1286\nFinal: \\boxed{1286}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 4 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 4 kilometres = 4 * 1000 metres.\nCompute step by step:\n 4 * 10^0 * 1000 = 4000\n running total = 4000\nFinal: \\boxed{4000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n kidfew tmhuef frdmrzte czeew\n### Reasoning:\n<|cot_start|>Cipher text: kidfew tmhuef frdmrzte czeew\nTry each candidate Wonderland word against each ciphertext word:\n cipher='kidfew' candidate='alice' length-match=False\n cipher='kidfew' candidate='rabbit' length-match=True\n cipher='kidfew' candidate='hatter' length-match=True\n cipher='kidfew' candidate='cheshire' length-match=False\n cipher='kidfew' candidate='queen' length-match=False\n cipher='kidfew' candidate='tea' length-match=False\n cipher='kidfew' candidate='cake' length-match=False\n cipher='kidfew' candidate='garden' length-match=True <- assign\n cipher='kidfew' candidate='mushroom' length-match=False\n cipher='kidfew' candidate='card' length-match=False\n cipher='kidfew' candidate='card' length-match=False\n cipher='kidfew' candidate='wonderland' length-match=False\n cipher='kidfew' candidate='white' length-match=False\n cipher='kidfew' candidate='down' length-match=False\n cipher='kidfew' candidate='smile' length-match=False\n cipher='kidfew' candidate='smiled' length-match=True\n cipher='kidfew' candidate='looking' length-match=False\n cipher='kidfew' candidate='glass' length-match=False\n cipher='kidfew' candidate='march' length-match=False\n cipher='kidfew' candidate='hare' length-match=False\n cipher='kidfew' candidate='dormouse' length-match=False\n cipher='tmhuef' candidate='alice' length-match=False\n cipher='tmhuef' candidate='rabbit' length-match=True\n cipher='tmhuef' candidate='hatter' length-match=True\n cipher='tmhuef' candidate='cheshire' length-match=False\n cipher='tmhuef' candidate='queen' length-match=False\n cipher='tmhuef' candidate='tea' length-match=False\n cipher='tmhuef' candidate='cake' length-match=False\n cipher='tmhuef' candidate='garden' length-match=True\n cipher='tmhuef' candidate='mushroom' length-match=False\n cipher='tmhuef' candidate='card' length-match=False\n cipher='tmhuef' candidate='card' length-match=False\n cipher='tmhuef' candidate='wonderland' length-match=False\n cipher='tmhuef' candidate='white' length-match=False\n cipher='tmhuef' candidate='down' length-match=False\n cipher='tmhuef' candidate='smile' length-match=False\n cipher='tmhuef' candidate='smiled' length-match=True <- assign\n cipher='tmhuef' candidate='looking' length-match=False\n cipher='tmhuef' candidate='glass' length-match=False\n cipher='tmhuef' candidate='march' length-match=False\n cipher='tmhuef' candidate='hare' length-match=False\n cipher='tmhuef' candidate='dormouse' length-match=False\n cipher='frdmrzte' candidate='alice' length-match=False\n cipher='frdmrzte' candidate='rabbit' length-match=False\n cipher='frdmrzte' candidate='hatter' length-match=False\n cipher='frdmrzte' candidate='cheshire' length-match=True\n cipher='frdmrzte' candidate='queen' length-match=False\n cipher='frdmrzte' candidate='tea' length-match=False\n cipher='frdmrzte' candidate='cake' length-match=False\n cipher='frdmrzte' candidate='garden' length-match=False\n cipher='frdmrzte' candidate='mushroom' length-match=True\n cipher='frdmrzte' candidate='card' length-match=False\n cipher='frdmrzte' candidate='card' length-match=False\n cipher='frdmrzte' candidate='wonderland' length-match=False\n cipher='frdmrzte' candidate='white' length-match=False\n cipher='frdmrzte' candidate='down' length-match=False\n cipher='frdmrzte' candidate='smile' length-match=False\n cipher='frdmrzte' candidate='smiled' length-match=False\n cipher='frdmrzte' candidate='looking' length-match=False\n cipher='frdmrzte' candidate='glass' length-match=False\n cipher='frdmrzte' candidate='march' length-match=False\n cipher='frdmrzte' candidate='hare' length-match=False\n cipher='frdmrzte' candidate='dormouse' length-match=True <- assign\n cipher='czeew' candidate='alice' length-match=True\n cipher='czeew' candidate='rabbit' length-match=False\n cipher='czeew' candidate='hatter' length-match=False\n cipher='czeew' candidate='cheshire' length-match=False\n cipher='czeew' candidate='queen' length-match=True <- assign\n cipher='czeew' candidate='tea' length-match=False\n cipher='czeew' candidate='cake' length-match=False\n cipher='czeew' candidate='garden' length-match=False\n cipher='czeew' candidate='mushroom' length-match=False\n cipher='czeew' candidate='card' length-match=False\n cipher='czeew' candidate='card' length-match=False\n cipher='czeew' candidate='wonderland' length-match=False\n cipher='czeew' candidate='white' length-match=True\n cipher='czeew' candidate='down' length-match=False\n cipher='czeew' candidate='smile' length-match=True\n cipher='czeew' candidate='smiled' length-match=False\n cipher='czeew' candidate='looking' length-match=False\n cipher='czeew' candidate='glass' length-match=True\n cipher='czeew' candidate='march' length-match=True\n cipher='czeew' candidate='hare' length-match=False\n cipher='czeew' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n garden smiled dormouse queen\nFinal: \\boxed{garden smiled dormouse queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 46,70 -> 7046\n 15,79 -> 7915\n 74,48 -> 4874\nApply to: 50,44\n### Reasoning:\n<|cot_start|>Examples:\n 46,70 -> 7046\n 15,79 -> 7915\n 74,48 -> 4874\nCheck both candidate forms:\n concat(46,70)=4670 rev_concat(46,70)=7046 target=7046 rev_concat\n concat(15,79)=1579 rev_concat(15,79)=7915 target=7915 rev_concat\n concat(74,48)=7448 rev_concat(74,48)=4874 target=4874 rev_concat\nConclude operator: rev_concat.\nApply to (50, 44): answer = 4450\nFinal: \\boxed{4450}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n V = 5 -> 20 + 5 = 25\n I = 1 -> 25 + 1 = 26\n I = 1 -> 26 + 1 = 27\nFinal: \\boxed{27}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n eqlh yutvh dsousfyh rjtch\n### Reasoning:\n<|cot_start|>Cipher text: eqlh yutvh dsousfyh rjtch\nTry each candidate Wonderland word against each ciphertext word:\n cipher='eqlh' candidate='alice' length-match=False\n cipher='eqlh' candidate='rabbit' length-match=False\n cipher='eqlh' candidate='hatter' length-match=False\n cipher='eqlh' candidate='cheshire' length-match=False\n cipher='eqlh' candidate='queen' length-match=False\n cipher='eqlh' candidate='tea' length-match=False\n cipher='eqlh' candidate='cake' length-match=True <- assign\n cipher='eqlh' candidate='garden' length-match=False\n cipher='eqlh' candidate='mushroom' length-match=False\n cipher='eqlh' candidate='card' length-match=True\n cipher='eqlh' candidate='card' length-match=True\n cipher='eqlh' candidate='wonderland' length-match=False\n cipher='eqlh' candidate='white' length-match=False\n cipher='eqlh' candidate='down' length-match=True\n cipher='eqlh' candidate='smile' length-match=False\n cipher='eqlh' candidate='smiled' length-match=False\n cipher='eqlh' candidate='looking' length-match=False\n cipher='eqlh' candidate='glass' length-match=False\n cipher='eqlh' candidate='march' length-match=False\n cipher='eqlh' candidate='hare' length-match=True\n cipher='eqlh' candidate='dormouse' length-match=False\n cipher='yutvh' candidate='alice' length-match=True\n cipher='yutvh' candidate='rabbit' length-match=False\n cipher='yutvh' candidate='hatter' length-match=False\n cipher='yutvh' candidate='cheshire' length-match=False\n cipher='yutvh' candidate='queen' length-match=True\n cipher='yutvh' candidate='tea' length-match=False\n cipher='yutvh' candidate='cake' length-match=False\n cipher='yutvh' candidate='garden' length-match=False\n cipher='yutvh' candidate='mushroom' length-match=False\n cipher='yutvh' candidate='card' length-match=False\n cipher='yutvh' candidate='card' length-match=False\n cipher='yutvh' candidate='wonderland' length-match=False\n cipher='yutvh' candidate='white' length-match=True\n cipher='yutvh' candidate='down' length-match=False\n cipher='yutvh' candidate='smile' length-match=True <- assign\n cipher='yutvh' candidate='smiled' length-match=False\n cipher='yutvh' candidate='looking' length-match=False\n cipher='yutvh' candidate='glass' length-match=True\n cipher='yutvh' candidate='march' length-match=True\n cipher='yutvh' candidate='hare' length-match=False\n cipher='yutvh' candidate='dormouse' length-match=False\n cipher='dsousfyh' candidate='alice' length-match=False\n cipher='dsousfyh' candidate='rabbit' length-match=False\n cipher='dsousfyh' candidate='hatter' length-match=False\n cipher='dsousfyh' candidate='cheshire' length-match=True\n cipher='dsousfyh' candidate='queen' length-match=False\n cipher='dsousfyh' candidate='tea' length-match=False\n cipher='dsousfyh' candidate='cake' length-match=False\n cipher='dsousfyh' candidate='garden' length-match=False\n cipher='dsousfyh' candidate='mushroom' length-match=True\n cipher='dsousfyh' candidate='card' length-match=False\n cipher='dsousfyh' candidate='card' length-match=False\n cipher='dsousfyh' candidate='wonderland' length-match=False\n cipher='dsousfyh' candidate='white' length-match=False\n cipher='dsousfyh' candidate='down' length-match=False\n cipher='dsousfyh' candidate='smile' length-match=False\n cipher='dsousfyh' candidate='smiled' length-match=False\n cipher='dsousfyh' candidate='looking' length-match=False\n cipher='dsousfyh' candidate='glass' length-match=False\n cipher='dsousfyh' candidate='march' length-match=False\n cipher='dsousfyh' candidate='hare' length-match=False\n cipher='dsousfyh' candidate='dormouse' length-match=True <- assign\n cipher='rjtch' candidate='alice' length-match=True\n cipher='rjtch' candidate='rabbit' length-match=False\n cipher='rjtch' candidate='hatter' length-match=False\n cipher='rjtch' candidate='cheshire' length-match=False\n cipher='rjtch' candidate='queen' length-match=True\n cipher='rjtch' candidate='tea' length-match=False\n cipher='rjtch' candidate='cake' length-match=False\n cipher='rjtch' candidate='garden' length-match=False\n cipher='rjtch' candidate='mushroom' length-match=False\n cipher='rjtch' candidate='card' length-match=False\n cipher='rjtch' candidate='card' length-match=False\n cipher='rjtch' candidate='wonderland' length-match=False\n cipher='rjtch' candidate='white' length-match=True <- assign\n cipher='rjtch' candidate='down' length-match=False\n cipher='rjtch' candidate='smile' length-match=True\n cipher='rjtch' candidate='smiled' length-match=False\n cipher='rjtch' candidate='looking' length-match=False\n cipher='rjtch' candidate='glass' length-match=True\n cipher='rjtch' candidate='march' length-match=True\n cipher='rjtch' candidate='hare' length-match=False\n cipher='rjtch' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cake smile dormouse white\nFinal: \\boxed{cake smile dormouse white}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 95,59 -> 9559\n 29,99 -> 2999\n 73,83 -> 7383\nApply to: 27,16\n### Reasoning:\n<|cot_start|>Examples:\n 95,59 -> 9559\n 29,99 -> 2999\n 73,83 -> 7383\nCheck both candidate forms:\n concat(95,59)=9559 rev_concat(95,59)=5995 target=9559 concat\n concat(29,99)=2999 rev_concat(29,99)=9929 target=2999 concat\n concat(73,83)=7383 rev_concat(73,83)=8373 target=7383 concat\nConclude operator: concat.\nApply to (27, 16): answer = 2716\nFinal: \\boxed{2716}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n V = 5 -> 70 + 5 = 75\n I = 1 -> 75 + 1 = 76\n I = 1 -> 76 + 1 = 77\n I = 1 -> 77 + 1 = 78\nFinal: \\boxed{78}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 21 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 21 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 1 * 10^0 * 981 = 981\n running total = 20601\nSo F = 20601 centiNewtons = 206.01 N.\nFinal: \\boxed{206.01}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01110110 -> 01100111\n 11001001 -> 10011100\n 00010001 -> 00010001\nApply to: 11010111\n### Reasoning:\n<|cot_start|>Given examples:\n 01110110 -> 01100111\n 11001001 -> 10011100\n 00010001 -> 00010001\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 0,1,0\n bit 1: 1,1,0 -> 1,0,0\n bit 2: 1,0,0 -> 1,0,0\n bit 3: 1,0,1 -> 0,1,1\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 1,0,0 -> 1,1,0\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 0,1,1 -> 1,0,1\nDeduce rule: swap nibbles.\nApply to 11010111:\n result = 01111101\nFinal: \\boxed{01111101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10110110 -> 01001001\n 01101011 -> 10010100\n 10011101 -> 01100010\nApply to: 11011100\n### Reasoning:\n<|cot_start|>Given examples:\n 10110110 -> 01001001\n 01101011 -> 10010100\n 10011101 -> 01100010\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,1,0\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 1,1,0 -> 0,0,1\n bit 3: 1,0,1 -> 0,1,0\n bit 4: 0,1,1 -> 1,0,0\n bit 5: 1,0,1 -> 0,1,0\n bit 6: 1,1,0 -> 0,0,1\n bit 7: 0,1,1 -> 1,0,0\nDeduce rule: invert (NOT).\nApply to 11011100:\n result = 00100011\nFinal: \\boxed{00100011}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 41 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 41 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 1 * 10^0 * 981 = 981\n running total = 40221\nSo F = 40221 centiNewtons = 402.21 N.\nFinal: \\boxed{402.21}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 62,55 -> 5562\n 19,52 -> 5219\n 45,54 -> 5445\nApply to: 22,48\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 62,55: '+' gives 117; target=5562 no\n 62,55: '-' gives 7; target=5562 no\n 62,55: '*' gives 3410; target=5562 no\n 62,55: 'concat' gives 6255; target=5562 no\n 62,55: 'rev_concat' gives 5562; target=5562 MATCH\n 62,55: 'max*min+sum' gives 3527; target=5562 no\n 62,55: 'digitsum2' gives 324; target=5562 no\n 19,52: '+' gives 71; target=5219 no\n 19,52: '-' gives 33; target=5219 no\n 19,52: '*' gives 988; target=5219 no\n 19,52: 'concat' gives 1952; target=5219 no\n 19,52: 'rev_concat' gives 5219; target=5219 MATCH\n 19,52: 'max*min+sum' gives 1059; target=5219 no\n 19,52: 'digitsum2' gives 289; target=5219 no\n 45,54: '+' gives 99; target=5445 no\n 45,54: '-' gives 9; target=5445 no\n 45,54: '*' gives 2430; target=5445 no\n 45,54: 'concat' gives 4554; target=5445 no\n 45,54: 'rev_concat' gives 5445; target=5445 MATCH\n 45,54: 'max*min+sum' gives 2529; target=5445 no\n 45,54: 'digitsum2' gives 324; target=5445 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (22, 48):\n result = 4822\nFinal: \\boxed{4822}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 3 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 3 litres = 3 * 1000 millilitres.\nCompute step by step:\n 3 * 10^0 * 1000 = 3000\n running total = 3000\nFinal: \\boxed{3000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 88,80 -> 8\n 50,94 -> 44\n 73,53 -> 20\nApply to: 85,91\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 88,80: '+' gives 168; target=8 no\n 88,80: '-' gives 8; target=8 MATCH\n 88,80: '*' gives 7040; target=8 no\n 88,80: 'concat' gives 8880; target=8 no\n 88,80: 'rev_concat' gives 8088; target=8 no\n 88,80: 'max*min+sum' gives 7208; target=8 no\n 88,80: 'digitsum2' gives 576; target=8 no\n 50,94: '+' gives 144; target=44 no\n 50,94: '-' gives 44; target=44 MATCH\n 50,94: '*' gives 4700; target=44 no\n 50,94: 'concat' gives 5094; target=44 no\n 50,94: 'rev_concat' gives 9450; target=44 no\n 50,94: 'max*min+sum' gives 4844; target=44 no\n 50,94: 'digitsum2' gives 324; target=44 no\n 73,53: '+' gives 126; target=20 no\n 73,53: '-' gives 20; target=20 MATCH\n 73,53: '*' gives 3869; target=20 no\n 73,53: 'concat' gives 7353; target=20 no\n 73,53: 'rev_concat' gives 5373; target=20 no\n 73,53: 'max*min+sum' gives 3995; target=20 no\n 73,53: 'digitsum2' gives 324; target=20 no\nThe only operator consistent with all examples is '-'.\nApply to (85, 91):\n result = 6\nFinal: \\boxed{6}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01000001 -> 10000010\n 00111111 -> 11111100\n 01111111 -> 11111110\nApply to: 10110111\n### Reasoning:\n<|cot_start|>Given examples:\n 01000001 -> 10000010\n 00111111 -> 11111100\n 01111111 -> 11111110\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 1,1,1\n bit 1: 1,0,1 -> 0,1,1\n bit 2: 0,1,1 -> 0,1,1\n bit 3: 0,1,1 -> 0,1,1\n bit 4: 0,1,1 -> 0,1,1\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 0,1,1 -> 1,0,1\n bit 7: 1,1,1 -> 0,0,0\nDeduce rule: reverse bits.\nApply to 10110111:\n result = 11101101\nFinal: \\boxed{11101101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n rbzya mrkkzu elzua qbrpp\n### Reasoning:\n<|cot_start|>Cipher text: rbzya mrkkzu elzua qbrpp\nTry each candidate Wonderland word against each ciphertext word:\n cipher='rbzya' candidate='alice' length-match=True <- assign\n cipher='rbzya' candidate='rabbit' length-match=False\n cipher='rbzya' candidate='hatter' length-match=False\n cipher='rbzya' candidate='cheshire' length-match=False\n cipher='rbzya' candidate='queen' length-match=True\n cipher='rbzya' candidate='tea' length-match=False\n cipher='rbzya' candidate='cake' length-match=False\n cipher='rbzya' candidate='garden' length-match=False\n cipher='rbzya' candidate='mushroom' length-match=False\n cipher='rbzya' candidate='card' length-match=False\n cipher='rbzya' candidate='card' length-match=False\n cipher='rbzya' candidate='wonderland' length-match=False\n cipher='rbzya' candidate='white' length-match=True\n cipher='rbzya' candidate='down' length-match=False\n cipher='rbzya' candidate='smile' length-match=True\n cipher='rbzya' candidate='smiled' length-match=False\n cipher='rbzya' candidate='looking' length-match=False\n cipher='rbzya' candidate='glass' length-match=True\n cipher='rbzya' candidate='march' length-match=True\n cipher='rbzya' candidate='hare' length-match=False\n cipher='rbzya' candidate='dormouse' length-match=False\n cipher='mrkkzu' candidate='alice' length-match=False\n cipher='mrkkzu' candidate='rabbit' length-match=True <- assign\n cipher='mrkkzu' candidate='hatter' length-match=True\n cipher='mrkkzu' candidate='cheshire' length-match=False\n cipher='mrkkzu' candidate='queen' length-match=False\n cipher='mrkkzu' candidate='tea' length-match=False\n cipher='mrkkzu' candidate='cake' length-match=False\n cipher='mrkkzu' candidate='garden' length-match=True\n cipher='mrkkzu' candidate='mushroom' length-match=False\n cipher='mrkkzu' candidate='card' length-match=False\n cipher='mrkkzu' candidate='card' length-match=False\n cipher='mrkkzu' candidate='wonderland' length-match=False\n cipher='mrkkzu' candidate='white' length-match=False\n cipher='mrkkzu' candidate='down' length-match=False\n cipher='mrkkzu' candidate='smile' length-match=False\n cipher='mrkkzu' candidate='smiled' length-match=True\n cipher='mrkkzu' candidate='looking' length-match=False\n cipher='mrkkzu' candidate='glass' length-match=False\n cipher='mrkkzu' candidate='march' length-match=False\n cipher='mrkkzu' candidate='hare' length-match=False\n cipher='mrkkzu' candidate='dormouse' length-match=False\n cipher='elzua' candidate='alice' length-match=True\n cipher='elzua' candidate='rabbit' length-match=False\n cipher='elzua' candidate='hatter' length-match=False\n cipher='elzua' candidate='cheshire' length-match=False\n cipher='elzua' candidate='queen' length-match=True\n cipher='elzua' candidate='tea' length-match=False\n cipher='elzua' candidate='cake' length-match=False\n cipher='elzua' candidate='garden' length-match=False\n cipher='elzua' candidate='mushroom' length-match=False\n cipher='elzua' candidate='card' length-match=False\n cipher='elzua' candidate='card' length-match=False\n cipher='elzua' candidate='wonderland' length-match=False\n cipher='elzua' candidate='white' length-match=True <- assign\n cipher='elzua' candidate='down' length-match=False\n cipher='elzua' candidate='smile' length-match=True\n cipher='elzua' candidate='smiled' length-match=False\n cipher='elzua' candidate='looking' length-match=False\n cipher='elzua' candidate='glass' length-match=True\n cipher='elzua' candidate='march' length-match=True\n cipher='elzua' candidate='hare' length-match=False\n cipher='elzua' candidate='dormouse' length-match=False\n cipher='qbrpp' candidate='alice' length-match=True\n cipher='qbrpp' candidate='rabbit' length-match=False\n cipher='qbrpp' candidate='hatter' length-match=False\n cipher='qbrpp' candidate='cheshire' length-match=False\n cipher='qbrpp' candidate='queen' length-match=True\n cipher='qbrpp' candidate='tea' length-match=False\n cipher='qbrpp' candidate='cake' length-match=False\n cipher='qbrpp' candidate='garden' length-match=False\n cipher='qbrpp' candidate='mushroom' length-match=False\n cipher='qbrpp' candidate='card' length-match=False\n cipher='qbrpp' candidate='card' length-match=False\n cipher='qbrpp' candidate='wonderland' length-match=False\n cipher='qbrpp' candidate='white' length-match=True\n cipher='qbrpp' candidate='down' length-match=False\n cipher='qbrpp' candidate='smile' length-match=True\n cipher='qbrpp' candidate='smiled' length-match=False\n cipher='qbrpp' candidate='looking' length-match=False\n cipher='qbrpp' candidate='glass' length-match=True <- assign\n cipher='qbrpp' candidate='march' length-match=True\n cipher='qbrpp' candidate='hare' length-match=False\n cipher='qbrpp' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n alice rabbit white glass\nFinal: \\boxed{alice rabbit white glass}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n IV = 4 -> 20 + 4 = 24\nFinal: \\boxed{24}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 17,58 -> 986\n 24,82 -> 1968\n 73,30 -> 2190\nApply to: 58,38\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 17,58: '+' gives 75; target=986 no\n 17,58: '-' gives 41; target=986 no\n 17,58: '*' gives 986; target=986 MATCH\n 17,58: 'concat' gives 1758; target=986 no\n 17,58: 'rev_concat' gives 5817; target=986 no\n 17,58: 'max*min+sum' gives 1061; target=986 no\n 17,58: 'digitsum2' gives 441; target=986 no\n 24,82: '+' gives 106; target=1968 no\n 24,82: '-' gives 58; target=1968 no\n 24,82: '*' gives 1968; target=1968 MATCH\n 24,82: 'concat' gives 2482; target=1968 no\n 24,82: 'rev_concat' gives 8224; target=1968 no\n 24,82: 'max*min+sum' gives 2074; target=1968 no\n 24,82: 'digitsum2' gives 256; target=1968 no\n 73,30: '+' gives 103; target=2190 no\n 73,30: '-' gives 43; target=2190 no\n 73,30: '*' gives 2190; target=2190 MATCH\n 73,30: 'concat' gives 7330; target=2190 no\n 73,30: 'rev_concat' gives 3073; target=2190 no\n 73,30: 'max*min+sum' gives 2293; target=2190 no\n 73,30: 'digitsum2' gives 169; target=2190 no\nThe only operator consistent with all examples is '*'.\nApply to (58, 38):\n result = 2204\nFinal: \\boxed{2204}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 79,72 -> 7972\n 24,40 -> 2440\n 87,54 -> 8754\nApply to: 97,82\n### Reasoning:\n<|cot_start|>Examples:\n 79,72 -> 7972\n 24,40 -> 2440\n 87,54 -> 8754\nCheck both candidate forms:\n concat(79,72)=7972 rev_concat(79,72)=7279 target=7972 concat\n concat(24,40)=2440 rev_concat(24,40)=4024 target=2440 concat\n concat(87,54)=8754 rev_concat(87,54)=5487 target=8754 concat\nConclude operator: concat.\nApply to (97, 82): answer = 9782\nFinal: \\boxed{9782}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10001000 -> 01110111\n 00110110 -> 11001001\n 11000101 -> 00111010\nApply to: 10000011\n### Reasoning:\n<|cot_start|>Given examples:\n 10001000 -> 01110111\n 00110110 -> 11001001\n 11000101 -> 00111010\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,1,0\n bit 1: 0,0,1 -> 1,1,0\n bit 2: 0,1,0 -> 1,0,1\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 1,0,0 -> 0,1,1\n bit 5: 0,1,1 -> 1,0,0\n bit 6: 0,1,0 -> 1,0,1\n bit 7: 0,0,1 -> 1,1,0\nDeduce rule: invert (NOT).\nApply to 10000011:\n result = 01111100\nFinal: \\boxed{01111100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 36 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 36 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 6 * 10^0 * 981 = 5886\n running total = 35316\nSo F = 35316 centiNewtons = 353.16 N.\nFinal: \\boxed{353.16}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n pikvz vznbzokn xcceohm ziwwnk\n### Reasoning:\n<|cot_start|>Cipher text: pikvz vznbzokn xcceohm ziwwnk\nTry each candidate Wonderland word against each ciphertext word:\n cipher='pikvz' candidate='alice' length-match=True\n cipher='pikvz' candidate='rabbit' length-match=False\n cipher='pikvz' candidate='hatter' length-match=False\n cipher='pikvz' candidate='cheshire' length-match=False\n cipher='pikvz' candidate='queen' length-match=True\n cipher='pikvz' candidate='tea' length-match=False\n cipher='pikvz' candidate='cake' length-match=False\n cipher='pikvz' candidate='garden' length-match=False\n cipher='pikvz' candidate='mushroom' length-match=False\n cipher='pikvz' candidate='card' length-match=False\n cipher='pikvz' candidate='card' length-match=False\n cipher='pikvz' candidate='wonderland' length-match=False\n cipher='pikvz' candidate='white' length-match=True\n cipher='pikvz' candidate='down' length-match=False\n cipher='pikvz' candidate='smile' length-match=True\n cipher='pikvz' candidate='smiled' length-match=False\n cipher='pikvz' candidate='looking' length-match=False\n cipher='pikvz' candidate='glass' length-match=True\n cipher='pikvz' candidate='march' length-match=True <- assign\n cipher='pikvz' candidate='hare' length-match=False\n cipher='pikvz' candidate='dormouse' length-match=False\n cipher='vznbzokn' candidate='alice' length-match=False\n cipher='vznbzokn' candidate='rabbit' length-match=False\n cipher='vznbzokn' candidate='hatter' length-match=False\n cipher='vznbzokn' candidate='cheshire' length-match=True <- assign\n cipher='vznbzokn' candidate='queen' length-match=False\n cipher='vznbzokn' candidate='tea' length-match=False\n cipher='vznbzokn' candidate='cake' length-match=False\n cipher='vznbzokn' candidate='garden' length-match=False\n cipher='vznbzokn' candidate='mushroom' length-match=True\n cipher='vznbzokn' candidate='card' length-match=False\n cipher='vznbzokn' candidate='card' length-match=False\n cipher='vznbzokn' candidate='wonderland' length-match=False\n cipher='vznbzokn' candidate='white' length-match=False\n cipher='vznbzokn' candidate='down' length-match=False\n cipher='vznbzokn' candidate='smile' length-match=False\n cipher='vznbzokn' candidate='smiled' length-match=False\n cipher='vznbzokn' candidate='looking' length-match=False\n cipher='vznbzokn' candidate='glass' length-match=False\n cipher='vznbzokn' candidate='march' length-match=False\n cipher='vznbzokn' candidate='hare' length-match=False\n cipher='vznbzokn' candidate='dormouse' length-match=True\n cipher='xcceohm' candidate='alice' length-match=False\n cipher='xcceohm' candidate='rabbit' length-match=False\n cipher='xcceohm' candidate='hatter' length-match=False\n cipher='xcceohm' candidate='cheshire' length-match=False\n cipher='xcceohm' candidate='queen' length-match=False\n cipher='xcceohm' candidate='tea' length-match=False\n cipher='xcceohm' candidate='cake' length-match=False\n cipher='xcceohm' candidate='garden' length-match=False\n cipher='xcceohm' candidate='mushroom' length-match=False\n cipher='xcceohm' candidate='card' length-match=False\n cipher='xcceohm' candidate='card' length-match=False\n cipher='xcceohm' candidate='wonderland' length-match=False\n cipher='xcceohm' candidate='white' length-match=False\n cipher='xcceohm' candidate='down' length-match=False\n cipher='xcceohm' candidate='smile' length-match=False\n cipher='xcceohm' candidate='smiled' length-match=False\n cipher='xcceohm' candidate='looking' length-match=True <- assign\n cipher='xcceohm' candidate='glass' length-match=False\n cipher='xcceohm' candidate='march' length-match=False\n cipher='xcceohm' candidate='hare' length-match=False\n cipher='xcceohm' candidate='dormouse' length-match=False\n cipher='ziwwnk' candidate='alice' length-match=False\n cipher='ziwwnk' candidate='rabbit' length-match=True\n cipher='ziwwnk' candidate='hatter' length-match=True <- assign\n cipher='ziwwnk' candidate='cheshire' length-match=False\n cipher='ziwwnk' candidate='queen' length-match=False\n cipher='ziwwnk' candidate='tea' length-match=False\n cipher='ziwwnk' candidate='cake' length-match=False\n cipher='ziwwnk' candidate='garden' length-match=True\n cipher='ziwwnk' candidate='mushroom' length-match=False\n cipher='ziwwnk' candidate='card' length-match=False\n cipher='ziwwnk' candidate='card' length-match=False\n cipher='ziwwnk' candidate='wonderland' length-match=False\n cipher='ziwwnk' candidate='white' length-match=False\n cipher='ziwwnk' candidate='down' length-match=False\n cipher='ziwwnk' candidate='smile' length-match=False\n cipher='ziwwnk' candidate='smiled' length-match=True\n cipher='ziwwnk' candidate='looking' length-match=False\n cipher='ziwwnk' candidate='glass' length-match=False\n cipher='ziwwnk' candidate='march' length-match=False\n cipher='ziwwnk' candidate='hare' length-match=False\n cipher='ziwwnk' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n march cheshire looking hatter\nFinal: \\boxed{march cheshire looking hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11001111 -> 10011010\n 10001110 -> 11011011\n 01101010 -> 00111111\nApply to: 00101000\n### Reasoning:\n<|cot_start|>Given examples:\n 11001111 -> 10011010\n 10001110 -> 11011011\n 01101010 -> 00111111\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 1,1,0\n bit 1: 1,0,1 -> 0,1,0\n bit 2: 0,0,1 -> 0,0,1\n bit 3: 0,0,0 -> 1,1,1\n bit 4: 1,1,1 -> 1,1,1\n bit 5: 1,1,0 -> 0,0,1\n bit 6: 1,1,1 -> 1,1,1\n bit 7: 1,0,0 -> 0,1,1\nDeduce rule: xor 0x55.\nApply to 00101000:\n result = 01111101\nFinal: \\boxed{01111101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01110100 -> 00000100\n 11000101 -> 00000101\n 00000111 -> 00000111\nApply to: 01100000\n### Reasoning:\n<|cot_start|>Given examples:\n 01110100 -> 00000100\n 11000101 -> 00000101\n 00000111 -> 00000111\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 0,0,0\n bit 1: 1,1,0 -> 0,0,0\n bit 2: 1,0,0 -> 0,0,0\n bit 3: 1,0,0 -> 0,0,0\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 1,1,1 -> 1,1,1\n bit 6: 0,0,1 -> 0,0,1\n bit 7: 0,1,1 -> 0,1,1\nDeduce rule: and 0x0F.\nApply to 01100000:\n result = 00000000\nFinal: \\boxed{00000000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00000000 -> 11111111\n 01001001 -> 10110110\n 10000011 -> 01111100\nApply to: 01101011\n### Reasoning:\n<|cot_start|>Given examples:\n 00000000 -> 11111111\n 01001001 -> 10110110\n 10000011 -> 01111100\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,0\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 0,0,0 -> 1,1,1\n bit 3: 0,0,0 -> 1,1,1\n bit 4: 0,1,0 -> 1,0,1\n bit 5: 0,0,0 -> 1,1,1\n bit 6: 0,0,1 -> 1,1,0\n bit 7: 0,1,1 -> 1,0,0\nDeduce rule: invert (NOT).\nApply to 01101011:\n result = 10010100\nFinal: \\boxed{10010100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 14 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 14 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 4 * 10^0 * 981 = 3924\n running total = 13734\nSo F = 13734 centiNewtons = 137.34 N.\nFinal: \\boxed{137.34}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 45 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 45 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 5 * 10^0 * 981 = 4905\n running total = 44145\nSo F = 44145 centiNewtons = 441.45 N.\nFinal: \\boxed{441.45}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 54 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 54 days = 54 * 24 hours.\nCompute step by step:\n 5 * 10^1 * 24 = 1200\n running total = 1200\n 4 * 10^0 * 24 = 96\n running total = 1296\nFinal: \\boxed{1296}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 57,26 -> 5726\n 18,92 -> 1892\n 66,78 -> 6678\nApply to: 24,22\n### Reasoning:\n<|cot_start|>Examples:\n 57,26 -> 5726\n 18,92 -> 1892\n 66,78 -> 6678\nCheck both candidate forms:\n concat(57,26)=5726 rev_concat(57,26)=2657 target=5726 concat\n concat(18,92)=1892 rev_concat(18,92)=9218 target=1892 concat\n concat(66,78)=6678 rev_concat(66,78)=7866 target=6678 concat\nConclude operator: concat.\nApply to (24, 22): answer = 2422\nFinal: \\boxed{2422}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 98,46 -> 9846\n 59,26 -> 5926\n 14,34 -> 1434\nApply to: 89,48\n### Reasoning:\n<|cot_start|>Examples:\n 98,46 -> 9846\n 59,26 -> 5926\n 14,34 -> 1434\nCheck both candidate forms:\n concat(98,46)=9846 rev_concat(98,46)=4698 target=9846 concat\n concat(59,26)=5926 rev_concat(59,26)=2659 target=5926 concat\n concat(14,34)=1434 rev_concat(14,34)=3414 target=1434 concat\nConclude operator: concat.\nApply to (89, 48): answer = 8948\nFinal: \\boxed{8948}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 95 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 95 kilograms = 95 * 1000 grams.\nCompute step by step:\n 9 * 10^1 * 1000 = 90000\n running total = 90000\n 5 * 10^0 * 1000 = 5000\n running total = 95000\nFinal: \\boxed{95000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01100101 -> 00000101\n 01111100 -> 00001100\n 10111111 -> 00001111\nApply to: 11101100\n### Reasoning:\n<|cot_start|>Given examples:\n 01100101 -> 00000101\n 01111100 -> 00001100\n 10111111 -> 00001111\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 0,0,0\n bit 1: 1,1,0 -> 0,0,0\n bit 2: 1,1,1 -> 0,0,0\n bit 3: 0,1,1 -> 0,0,0\n bit 4: 0,1,1 -> 0,1,1\n bit 5: 1,1,1 -> 1,1,1\n bit 6: 0,0,1 -> 0,0,1\n bit 7: 1,0,1 -> 1,0,1\nDeduce rule: and 0x0F.\nApply to 11101100:\n result = 00001100\nFinal: \\boxed{00001100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n zqpr wigscqqw sfcj hofgg\n### Reasoning:\n<|cot_start|>Cipher text: zqpr wigscqqw sfcj hofgg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='zqpr' candidate='alice' length-match=False\n cipher='zqpr' candidate='rabbit' length-match=False\n cipher='zqpr' candidate='hatter' length-match=False\n cipher='zqpr' candidate='cheshire' length-match=False\n cipher='zqpr' candidate='queen' length-match=False\n cipher='zqpr' candidate='tea' length-match=False\n cipher='zqpr' candidate='cake' length-match=True\n cipher='zqpr' candidate='garden' length-match=False\n cipher='zqpr' candidate='mushroom' length-match=False\n cipher='zqpr' candidate='card' length-match=True\n cipher='zqpr' candidate='card' length-match=True\n cipher='zqpr' candidate='wonderland' length-match=False\n cipher='zqpr' candidate='white' length-match=False\n cipher='zqpr' candidate='down' length-match=True <- assign\n cipher='zqpr' candidate='smile' length-match=False\n cipher='zqpr' candidate='smiled' length-match=False\n cipher='zqpr' candidate='looking' length-match=False\n cipher='zqpr' candidate='glass' length-match=False\n cipher='zqpr' candidate='march' length-match=False\n cipher='zqpr' candidate='hare' length-match=True\n cipher='zqpr' candidate='dormouse' length-match=False\n cipher='wigscqqw' candidate='alice' length-match=False\n cipher='wigscqqw' candidate='rabbit' length-match=False\n cipher='wigscqqw' candidate='hatter' length-match=False\n cipher='wigscqqw' candidate='cheshire' length-match=True\n cipher='wigscqqw' candidate='queen' length-match=False\n cipher='wigscqqw' candidate='tea' length-match=False\n cipher='wigscqqw' candidate='cake' length-match=False\n cipher='wigscqqw' candidate='garden' length-match=False\n cipher='wigscqqw' candidate='mushroom' length-match=True <- assign\n cipher='wigscqqw' candidate='card' length-match=False\n cipher='wigscqqw' candidate='card' length-match=False\n cipher='wigscqqw' candidate='wonderland' length-match=False\n cipher='wigscqqw' candidate='white' length-match=False\n cipher='wigscqqw' candidate='down' length-match=False\n cipher='wigscqqw' candidate='smile' length-match=False\n cipher='wigscqqw' candidate='smiled' length-match=False\n cipher='wigscqqw' candidate='looking' length-match=False\n cipher='wigscqqw' candidate='glass' length-match=False\n cipher='wigscqqw' candidate='march' length-match=False\n cipher='wigscqqw' candidate='hare' length-match=False\n cipher='wigscqqw' candidate='dormouse' length-match=True\n cipher='sfcj' candidate='alice' length-match=False\n cipher='sfcj' candidate='rabbit' length-match=False\n cipher='sfcj' candidate='hatter' length-match=False\n cipher='sfcj' candidate='cheshire' length-match=False\n cipher='sfcj' candidate='queen' length-match=False\n cipher='sfcj' candidate='tea' length-match=False\n cipher='sfcj' candidate='cake' length-match=True\n cipher='sfcj' candidate='garden' length-match=False\n cipher='sfcj' candidate='mushroom' length-match=False\n cipher='sfcj' candidate='card' length-match=True\n cipher='sfcj' candidate='card' length-match=True\n cipher='sfcj' candidate='wonderland' length-match=False\n cipher='sfcj' candidate='white' length-match=False\n cipher='sfcj' candidate='down' length-match=True\n cipher='sfcj' candidate='smile' length-match=False\n cipher='sfcj' candidate='smiled' length-match=False\n cipher='sfcj' candidate='looking' length-match=False\n cipher='sfcj' candidate='glass' length-match=False\n cipher='sfcj' candidate='march' length-match=False\n cipher='sfcj' candidate='hare' length-match=True <- assign\n cipher='sfcj' candidate='dormouse' length-match=False\n cipher='hofgg' candidate='alice' length-match=True\n cipher='hofgg' candidate='rabbit' length-match=False\n cipher='hofgg' candidate='hatter' length-match=False\n cipher='hofgg' candidate='cheshire' length-match=False\n cipher='hofgg' candidate='queen' length-match=True\n cipher='hofgg' candidate='tea' length-match=False\n cipher='hofgg' candidate='cake' length-match=False\n cipher='hofgg' candidate='garden' length-match=False\n cipher='hofgg' candidate='mushroom' length-match=False\n cipher='hofgg' candidate='card' length-match=False\n cipher='hofgg' candidate='card' length-match=False\n cipher='hofgg' candidate='wonderland' length-match=False\n cipher='hofgg' candidate='white' length-match=True\n cipher='hofgg' candidate='down' length-match=False\n cipher='hofgg' candidate='smile' length-match=True\n cipher='hofgg' candidate='smiled' length-match=False\n cipher='hofgg' candidate='looking' length-match=False\n cipher='hofgg' candidate='glass' length-match=True <- assign\n cipher='hofgg' candidate='march' length-match=True\n cipher='hofgg' candidate='hare' length-match=False\n cipher='hofgg' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n down mushroom hare glass\nFinal: \\boxed{down mushroom hare glass}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n sclltv xbogwsncog ycsg qaeksbbq\n### Reasoning:\n<|cot_start|>Cipher text: sclltv xbogwsncog ycsg qaeksbbq\nTry each candidate Wonderland word against each ciphertext word:\n cipher='sclltv' candidate='alice' length-match=False\n cipher='sclltv' candidate='rabbit' length-match=True <- assign\n cipher='sclltv' candidate='hatter' length-match=True\n cipher='sclltv' candidate='cheshire' length-match=False\n cipher='sclltv' candidate='queen' length-match=False\n cipher='sclltv' candidate='tea' length-match=False\n cipher='sclltv' candidate='cake' length-match=False\n cipher='sclltv' candidate='garden' length-match=True\n cipher='sclltv' candidate='mushroom' length-match=False\n cipher='sclltv' candidate='card' length-match=False\n cipher='sclltv' candidate='card' length-match=False\n cipher='sclltv' candidate='wonderland' length-match=False\n cipher='sclltv' candidate='white' length-match=False\n cipher='sclltv' candidate='down' length-match=False\n cipher='sclltv' candidate='smile' length-match=False\n cipher='sclltv' candidate='smiled' length-match=True\n cipher='sclltv' candidate='looking' length-match=False\n cipher='sclltv' candidate='glass' length-match=False\n cipher='sclltv' candidate='march' length-match=False\n cipher='sclltv' candidate='hare' length-match=False\n cipher='sclltv' candidate='dormouse' length-match=False\n cipher='xbogwsncog' candidate='alice' length-match=False\n cipher='xbogwsncog' candidate='rabbit' length-match=False\n cipher='xbogwsncog' candidate='hatter' length-match=False\n cipher='xbogwsncog' candidate='cheshire' length-match=False\n cipher='xbogwsncog' candidate='queen' length-match=False\n cipher='xbogwsncog' candidate='tea' length-match=False\n cipher='xbogwsncog' candidate='cake' length-match=False\n cipher='xbogwsncog' candidate='garden' length-match=False\n cipher='xbogwsncog' candidate='mushroom' length-match=False\n cipher='xbogwsncog' candidate='card' length-match=False\n cipher='xbogwsncog' candidate='card' length-match=False\n cipher='xbogwsncog' candidate='wonderland' length-match=True <- assign\n cipher='xbogwsncog' candidate='white' length-match=False\n cipher='xbogwsncog' candidate='down' length-match=False\n cipher='xbogwsncog' candidate='smile' length-match=False\n cipher='xbogwsncog' candidate='smiled' length-match=False\n cipher='xbogwsncog' candidate='looking' length-match=False\n cipher='xbogwsncog' candidate='glass' length-match=False\n cipher='xbogwsncog' candidate='march' length-match=False\n cipher='xbogwsncog' candidate='hare' length-match=False\n cipher='xbogwsncog' candidate='dormouse' length-match=False\n cipher='ycsg' candidate='alice' length-match=False\n cipher='ycsg' candidate='rabbit' length-match=False\n cipher='ycsg' candidate='hatter' length-match=False\n cipher='ycsg' candidate='cheshire' length-match=False\n cipher='ycsg' candidate='queen' length-match=False\n cipher='ycsg' candidate='tea' length-match=False\n cipher='ycsg' candidate='cake' length-match=True\n cipher='ycsg' candidate='garden' length-match=False\n cipher='ycsg' candidate='mushroom' length-match=False\n cipher='ycsg' candidate='card' length-match=True <- assign\n cipher='ycsg' candidate='card' length-match=True <- assign\n cipher='ycsg' candidate='wonderland' length-match=False\n cipher='ycsg' candidate='white' length-match=False\n cipher='ycsg' candidate='down' length-match=True\n cipher='ycsg' candidate='smile' length-match=False\n cipher='ycsg' candidate='smiled' length-match=False\n cipher='ycsg' candidate='looking' length-match=False\n cipher='ycsg' candidate='glass' length-match=False\n cipher='ycsg' candidate='march' length-match=False\n cipher='ycsg' candidate='hare' length-match=True\n cipher='ycsg' candidate='dormouse' length-match=False\n cipher='qaeksbbq' candidate='alice' length-match=False\n cipher='qaeksbbq' candidate='rabbit' length-match=False\n cipher='qaeksbbq' candidate='hatter' length-match=False\n cipher='qaeksbbq' candidate='cheshire' length-match=True\n cipher='qaeksbbq' candidate='queen' length-match=False\n cipher='qaeksbbq' candidate='tea' length-match=False\n cipher='qaeksbbq' candidate='cake' length-match=False\n cipher='qaeksbbq' candidate='garden' length-match=False\n cipher='qaeksbbq' candidate='mushroom' length-match=True <- assign\n cipher='qaeksbbq' candidate='card' length-match=False\n cipher='qaeksbbq' candidate='card' length-match=False\n cipher='qaeksbbq' candidate='wonderland' length-match=False\n cipher='qaeksbbq' candidate='white' length-match=False\n cipher='qaeksbbq' candidate='down' length-match=False\n cipher='qaeksbbq' candidate='smile' length-match=False\n cipher='qaeksbbq' candidate='smiled' length-match=False\n cipher='qaeksbbq' candidate='looking' length-match=False\n cipher='qaeksbbq' candidate='glass' length-match=False\n cipher='qaeksbbq' candidate='march' length-match=False\n cipher='qaeksbbq' candidate='hare' length-match=False\n cipher='qaeksbbq' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n rabbit wonderland card mushroom\nFinal: \\boxed{rabbit wonderland card mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 62,81 -> 6281\n 14,54 -> 1454\n 64,45 -> 6445\nApply to: 46,28\n### Reasoning:\n<|cot_start|>Examples:\n 62,81 -> 6281\n 14,54 -> 1454\n 64,45 -> 6445\nCheck both candidate forms:\n concat(62,81)=6281 rev_concat(62,81)=8162 target=6281 concat\n concat(14,54)=1454 rev_concat(14,54)=5414 target=1454 concat\n concat(64,45)=6445 rev_concat(64,45)=4564 target=6445 concat\nConclude operator: concat.\nApply to (46, 28): answer = 4628\nFinal: \\boxed{4628}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10101001 -> 10010101\n 01000100 -> 00100010\n 00010000 -> 00001000\nApply to: 11111011\n### Reasoning:\n<|cot_start|>Given examples:\n 10101001 -> 10010101\n 01000100 -> 00100010\n 00010000 -> 00001000\nCompare each bit position across the three examples:\n bit 0: 1,0,0 -> 1,0,0\n bit 1: 0,1,0 -> 0,0,0\n bit 2: 1,0,0 -> 0,1,0\n bit 3: 0,0,1 -> 1,0,0\n bit 4: 1,0,0 -> 0,0,1\n bit 5: 0,1,0 -> 1,0,0\n bit 6: 0,0,0 -> 0,1,0\n bit 7: 1,0,0 -> 1,0,0\nDeduce rule: reverse bits.\nApply to 11111011:\n result = 11011111\nFinal: \\boxed{11011111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00010110 -> 11101001\n 01001111 -> 10110000\n 01010110 -> 10101001\nApply to: 11110000\n### Reasoning:\n<|cot_start|>Given examples:\n 00010110 -> 11101001\n 01001111 -> 10110000\n 01010110 -> 10101001\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 1,1,1\n bit 1: 0,1,1 -> 1,0,0\n bit 2: 0,0,0 -> 1,1,1\n bit 3: 1,0,1 -> 0,1,0\n bit 4: 0,1,0 -> 1,0,1\n bit 5: 1,1,1 -> 0,0,0\n bit 6: 1,1,1 -> 0,0,0\n bit 7: 0,1,0 -> 1,0,1\nDeduce rule: invert (NOT).\nApply to 11110000:\n result = 00001111\nFinal: \\boxed{00001111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00000000 -> 10101010\n 00101111 -> 10000101\n 10101101 -> 00000111\nApply to: 10101100\n### Reasoning:\n<|cot_start|>Given examples:\n 00000000 -> 10101010\n 00101111 -> 10000101\n 10101101 -> 00000111\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,0\n bit 1: 0,0,0 -> 0,0,0\n bit 2: 0,1,1 -> 1,0,0\n bit 3: 0,0,0 -> 0,0,0\n bit 4: 0,1,1 -> 1,0,0\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 0,1,0 -> 1,0,1\n bit 7: 0,1,1 -> 0,1,1\nDeduce rule: xor 0xAA.\nApply to 10101100:\n result = 00000110\nFinal: \\boxed{00000110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 11 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 11 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 1 * 10^0 * 981 = 981\n running total = 10791\nSo F = 10791 centiNewtons = 107.91 N.\nFinal: \\boxed{107.91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11001000 -> 01100100\n 00010000 -> 00001000\n 10001000 -> 01000100\nApply to: 10101001\n### Reasoning:\n<|cot_start|>Given examples:\n 11001000 -> 01100100\n 00010000 -> 00001000\n 10001000 -> 01000100\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,0,0\n bit 1: 1,0,0 -> 1,0,1\n bit 2: 0,0,0 -> 1,0,0\n bit 3: 0,1,0 -> 0,0,0\n bit 4: 1,0,1 -> 0,1,0\n bit 5: 0,0,0 -> 1,0,1\n bit 6: 0,0,0 -> 0,0,0\n bit 7: 0,0,0 -> 0,0,0\nDeduce rule: rotate right 1.\nApply to 10101001:\n result = 11010100\nFinal: \\boxed{11010100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 45 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 45 kilograms = 45 * 1000 grams.\nCompute step by step:\n 4 * 10^1 * 1000 = 40000\n running total = 40000\n 5 * 10^0 * 1000 = 5000\n running total = 45000\nFinal: \\boxed{45000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 24 hours to minutes.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 hours = 60 minutes.\nSo 24 hours = 24 * 60 minutes.\nCompute step by step:\n 2 * 10^1 * 60 = 1200\n running total = 1200\n 4 * 10^0 * 60 = 240\n running total = 1440\nFinal: \\boxed{1440}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n I = 1 -> 70 + 1 = 71\nFinal: \\boxed{71}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 64 hours to minutes.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 hours = 60 minutes.\nSo 64 hours = 64 * 60 minutes.\nCompute step by step:\n 6 * 10^1 * 60 = 3600\n running total = 3600\n 4 * 10^0 * 60 = 240\n running total = 3840\nFinal: \\boxed{3840}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 23,81 -> 2381\n 81,17 -> 8117\n 13,53 -> 1353\nApply to: 64,87\n### Reasoning:\n<|cot_start|>Examples:\n 23,81 -> 2381\n 81,17 -> 8117\n 13,53 -> 1353\nCheck both candidate forms:\n concat(23,81)=2381 rev_concat(23,81)=8123 target=2381 concat\n concat(81,17)=8117 rev_concat(81,17)=1781 target=8117 concat\n concat(13,53)=1353 rev_concat(13,53)=5313 target=1353 concat\nConclude operator: concat.\nApply to (64, 87): answer = 6487\nFinal: \\boxed{6487}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 44,47 -> 2159\n 12,89 -> 1169\n 97,89 -> 8819\nApply to: 33,44\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 44,47: '+' gives 91; target=2159 no\n 44,47: '-' gives 3; target=2159 no\n 44,47: '*' gives 2068; target=2159 no\n 44,47: 'concat' gives 4447; target=2159 no\n 44,47: 'rev_concat' gives 4744; target=2159 no\n 44,47: 'max*min+sum' gives 2159; target=2159 MATCH\n 44,47: 'digitsum2' gives 361; target=2159 no\n 12,89: '+' gives 101; target=1169 no\n 12,89: '-' gives 77; target=1169 no\n 12,89: '*' gives 1068; target=1169 no\n 12,89: 'concat' gives 1289; target=1169 no\n 12,89: 'rev_concat' gives 8912; target=1169 no\n 12,89: 'max*min+sum' gives 1169; target=1169 MATCH\n 12,89: 'digitsum2' gives 400; target=1169 no\n 97,89: '+' gives 186; target=8819 no\n 97,89: '-' gives 8; target=8819 no\n 97,89: '*' gives 8633; target=8819 no\n 97,89: 'concat' gives 9789; target=8819 no\n 97,89: 'rev_concat' gives 8997; target=8819 no\n 97,89: 'max*min+sum' gives 8819; target=8819 MATCH\n 97,89: 'digitsum2' gives 1089; target=8819 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (33, 44):\n result = 1529\nFinal: \\boxed{1529}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00001011 -> 11010000\n 11110100 -> 00101111\n 10101111 -> 11110101\nApply to: 00000001\n### Reasoning:\n<|cot_start|>Given examples:\n 00001011 -> 11010000\n 11110100 -> 00101111\n 10101111 -> 11110101\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 1,0,1\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 0,1,1 -> 0,1,1\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 1,0,1 -> 0,1,0\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 1,0,1 -> 0,1,0\n bit 7: 1,0,1 -> 0,1,1\nDeduce rule: reverse bits.\nApply to 00000001:\n result = 10000000\nFinal: \\boxed{10000000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 59,44 -> 103\n 69,46 -> 115\n 13,61 -> 74\nApply to: 13,68\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 59,44: '+' gives 103; target=103 MATCH\n 59,44: '-' gives 15; target=103 no\n 59,44: '*' gives 2596; target=103 no\n 59,44: 'concat' gives 5944; target=103 no\n 59,44: 'rev_concat' gives 4459; target=103 no\n 59,44: 'max*min+sum' gives 2699; target=103 no\n 59,44: 'digitsum2' gives 484; target=103 no\n 69,46: '+' gives 115; target=115 MATCH\n 69,46: '-' gives 23; target=115 no\n 69,46: '*' gives 3174; target=115 no\n 69,46: 'concat' gives 6946; target=115 no\n 69,46: 'rev_concat' gives 4669; target=115 no\n 69,46: 'max*min+sum' gives 3289; target=115 no\n 69,46: 'digitsum2' gives 625; target=115 no\n 13,61: '+' gives 74; target=74 MATCH\n 13,61: '-' gives 48; target=74 no\n 13,61: '*' gives 793; target=74 no\n 13,61: 'concat' gives 1361; target=74 no\n 13,61: 'rev_concat' gives 6113; target=74 no\n 13,61: 'max*min+sum' gives 867; target=74 no\n 13,61: 'digitsum2' gives 121; target=74 no\nThe only operator consistent with all examples is '+'.\nApply to (13, 68):\n result = 81\nFinal: \\boxed{81}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 56,22 -> 1232\n 22,58 -> 1276\n 72,26 -> 1872\nApply to: 52,83\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 56,22: '+' gives 78; target=1232 no\n 56,22: '-' gives 34; target=1232 no\n 56,22: '*' gives 1232; target=1232 MATCH\n 56,22: 'concat' gives 5622; target=1232 no\n 56,22: 'rev_concat' gives 2256; target=1232 no\n 56,22: 'max*min+sum' gives 1310; target=1232 no\n 56,22: 'digitsum2' gives 225; target=1232 no\n 22,58: '+' gives 80; target=1276 no\n 22,58: '-' gives 36; target=1276 no\n 22,58: '*' gives 1276; target=1276 MATCH\n 22,58: 'concat' gives 2258; target=1276 no\n 22,58: 'rev_concat' gives 5822; target=1276 no\n 22,58: 'max*min+sum' gives 1356; target=1276 no\n 22,58: 'digitsum2' gives 289; target=1276 no\n 72,26: '+' gives 98; target=1872 no\n 72,26: '-' gives 46; target=1872 no\n 72,26: '*' gives 1872; target=1872 MATCH\n 72,26: 'concat' gives 7226; target=1872 no\n 72,26: 'rev_concat' gives 2672; target=1872 no\n 72,26: 'max*min+sum' gives 1970; target=1872 no\n 72,26: 'digitsum2' gives 289; target=1872 no\nThe only operator consistent with all examples is '*'.\nApply to (52, 83):\n result = 4316\nFinal: \\boxed{4316}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n IV = 4 -> 20 + 4 = 24\nFinal: \\boxed{24}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 3 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 3 metres = 3 * 100 centimetres.\nCompute step by step:\n 3 * 10^0 * 100 = 300\n running total = 300\nFinal: \\boxed{300}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01001110 -> 00011011\n 10000000 -> 11010101\n 01011010 -> 00001111\nApply to: 11001011\n### Reasoning:\n<|cot_start|>Given examples:\n 01001110 -> 00011011\n 10000000 -> 11010101\n 01011010 -> 00001111\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 0,1,0\n bit 1: 1,0,1 -> 0,1,0\n bit 2: 0,0,0 -> 0,0,0\n bit 3: 0,0,1 -> 1,1,0\n bit 4: 1,0,1 -> 1,0,1\n bit 5: 1,0,0 -> 0,1,1\n bit 6: 1,0,1 -> 1,0,1\n bit 7: 0,0,0 -> 1,1,1\nDeduce rule: xor 0x55.\nApply to 11001011:\n result = 10011110\nFinal: \\boxed{10011110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01011111 -> 11110101\n 00111011 -> 10010001\n 11111010 -> 01010000\nApply to: 11110111\n### Reasoning:\n<|cot_start|>Given examples:\n 01011111 -> 11110101\n 00111011 -> 10010001\n 11111010 -> 01010000\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,0\n bit 1: 1,0,1 -> 1,0,1\n bit 2: 0,1,1 -> 1,0,0\n bit 3: 1,1,1 -> 1,1,1\n bit 4: 1,1,1 -> 0,0,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 1,1,1 -> 0,0,0\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: xor 0xAA.\nApply to 11110111:\n result = 01011101\nFinal: \\boxed{01011101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 13 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 13 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 3 * 10^0 * 981 = 2943\n running total = 12753\nSo F = 12753 centiNewtons = 127.53 N.\nFinal: \\boxed{127.53}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 84 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 84 days = 84 * 24 hours.\nCompute step by step:\n 8 * 10^1 * 24 = 1920\n running total = 1920\n 4 * 10^0 * 24 = 96\n running total = 2016\nFinal: \\boxed{2016}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 55 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 55 kilograms = 55 * 1000 grams.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 5 * 10^0 * 1000 = 5000\n running total = 55000\nFinal: \\boxed{55000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n IV = 4 -> 50 + 4 = 54\nFinal: \\boxed{54}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 22,50 -> 5022\n 29,43 -> 4329\n 32,53 -> 5332\nApply to: 67,20\n### Reasoning:\n<|cot_start|>Examples:\n 22,50 -> 5022\n 29,43 -> 4329\n 32,53 -> 5332\nCheck both candidate forms:\n concat(22,50)=2250 rev_concat(22,50)=5022 target=5022 rev_concat\n concat(29,43)=2943 rev_concat(29,43)=4329 target=4329 rev_concat\n concat(32,53)=3253 rev_concat(32,53)=5332 target=5332 rev_concat\nConclude operator: rev_concat.\nApply to (67, 20): answer = 2067\nFinal: \\boxed{2067}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 47,98 -> 9847\n 64,23 -> 2364\n 49,44 -> 4449\nApply to: 30,29\n### Reasoning:\n<|cot_start|>Examples:\n 47,98 -> 9847\n 64,23 -> 2364\n 49,44 -> 4449\nCheck both candidate forms:\n concat(47,98)=4798 rev_concat(47,98)=9847 target=9847 rev_concat\n concat(64,23)=6423 rev_concat(64,23)=2364 target=2364 rev_concat\n concat(49,44)=4944 rev_concat(49,44)=4449 target=4449 rev_concat\nConclude operator: rev_concat.\nApply to (30, 29): answer = 2930\nFinal: \\boxed{2930}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 8 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 8 * 981.\nStep-by-step multiplication:\n 8 * 10^0 * 981 = 7848\n running total = 7848\nSo F = 7848 centiNewtons = 78.48 N.\nFinal: \\boxed{78.48}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 46 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 46 litres = 46 * 1000 millilitres.\nCompute step by step:\n 4 * 10^1 * 1000 = 40000\n running total = 40000\n 6 * 10^0 * 1000 = 6000\n running total = 46000\nFinal: \\boxed{46000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n fuuskoa incwhuui ijhvw vjhg\n### Reasoning:\n<|cot_start|>Cipher text: fuuskoa incwhuui ijhvw vjhg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='fuuskoa' candidate='alice' length-match=False\n cipher='fuuskoa' candidate='rabbit' length-match=False\n cipher='fuuskoa' candidate='hatter' length-match=False\n cipher='fuuskoa' candidate='cheshire' length-match=False\n cipher='fuuskoa' candidate='queen' length-match=False\n cipher='fuuskoa' candidate='tea' length-match=False\n cipher='fuuskoa' candidate='cake' length-match=False\n cipher='fuuskoa' candidate='garden' length-match=False\n cipher='fuuskoa' candidate='mushroom' length-match=False\n cipher='fuuskoa' candidate='card' length-match=False\n cipher='fuuskoa' candidate='card' length-match=False\n cipher='fuuskoa' candidate='wonderland' length-match=False\n cipher='fuuskoa' candidate='white' length-match=False\n cipher='fuuskoa' candidate='down' length-match=False\n cipher='fuuskoa' candidate='smile' length-match=False\n cipher='fuuskoa' candidate='smiled' length-match=False\n cipher='fuuskoa' candidate='looking' length-match=True <- assign\n cipher='fuuskoa' candidate='glass' length-match=False\n cipher='fuuskoa' candidate='march' length-match=False\n cipher='fuuskoa' candidate='hare' length-match=False\n cipher='fuuskoa' candidate='dormouse' length-match=False\n cipher='incwhuui' candidate='alice' length-match=False\n cipher='incwhuui' candidate='rabbit' length-match=False\n cipher='incwhuui' candidate='hatter' length-match=False\n cipher='incwhuui' candidate='cheshire' length-match=True\n cipher='incwhuui' candidate='queen' length-match=False\n cipher='incwhuui' candidate='tea' length-match=False\n cipher='incwhuui' candidate='cake' length-match=False\n cipher='incwhuui' candidate='garden' length-match=False\n cipher='incwhuui' candidate='mushroom' length-match=True <- assign\n cipher='incwhuui' candidate='card' length-match=False\n cipher='incwhuui' candidate='card' length-match=False\n cipher='incwhuui' candidate='wonderland' length-match=False\n cipher='incwhuui' candidate='white' length-match=False\n cipher='incwhuui' candidate='down' length-match=False\n cipher='incwhuui' candidate='smile' length-match=False\n cipher='incwhuui' candidate='smiled' length-match=False\n cipher='incwhuui' candidate='looking' length-match=False\n cipher='incwhuui' candidate='glass' length-match=False\n cipher='incwhuui' candidate='march' length-match=False\n cipher='incwhuui' candidate='hare' length-match=False\n cipher='incwhuui' candidate='dormouse' length-match=True\n cipher='ijhvw' candidate='alice' length-match=True\n cipher='ijhvw' candidate='rabbit' length-match=False\n cipher='ijhvw' candidate='hatter' length-match=False\n cipher='ijhvw' candidate='cheshire' length-match=False\n cipher='ijhvw' candidate='queen' length-match=True\n cipher='ijhvw' candidate='tea' length-match=False\n cipher='ijhvw' candidate='cake' length-match=False\n cipher='ijhvw' candidate='garden' length-match=False\n cipher='ijhvw' candidate='mushroom' length-match=False\n cipher='ijhvw' candidate='card' length-match=False\n cipher='ijhvw' candidate='card' length-match=False\n cipher='ijhvw' candidate='wonderland' length-match=False\n cipher='ijhvw' candidate='white' length-match=True\n cipher='ijhvw' candidate='down' length-match=False\n cipher='ijhvw' candidate='smile' length-match=True\n cipher='ijhvw' candidate='smiled' length-match=False\n cipher='ijhvw' candidate='looking' length-match=False\n cipher='ijhvw' candidate='glass' length-match=True\n cipher='ijhvw' candidate='march' length-match=True <- assign\n cipher='ijhvw' candidate='hare' length-match=False\n cipher='ijhvw' candidate='dormouse' length-match=False\n cipher='vjhg' candidate='alice' length-match=False\n cipher='vjhg' candidate='rabbit' length-match=False\n cipher='vjhg' candidate='hatter' length-match=False\n cipher='vjhg' candidate='cheshire' length-match=False\n cipher='vjhg' candidate='queen' length-match=False\n cipher='vjhg' candidate='tea' length-match=False\n cipher='vjhg' candidate='cake' length-match=True\n cipher='vjhg' candidate='garden' length-match=False\n cipher='vjhg' candidate='mushroom' length-match=False\n cipher='vjhg' candidate='card' length-match=True <- assign\n cipher='vjhg' candidate='card' length-match=True <- assign\n cipher='vjhg' candidate='wonderland' length-match=False\n cipher='vjhg' candidate='white' length-match=False\n cipher='vjhg' candidate='down' length-match=True\n cipher='vjhg' candidate='smile' length-match=False\n cipher='vjhg' candidate='smiled' length-match=False\n cipher='vjhg' candidate='looking' length-match=False\n cipher='vjhg' candidate='glass' length-match=False\n cipher='vjhg' candidate='march' length-match=False\n cipher='vjhg' candidate='hare' length-match=True\n cipher='vjhg' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking mushroom march card\nFinal: \\boxed{looking mushroom march card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dcnk npaom omz zqaim\n### Reasoning:\n<|cot_start|>Cipher text: dcnk npaom omz zqaim\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dcnk' candidate='alice' length-match=False\n cipher='dcnk' candidate='rabbit' length-match=False\n cipher='dcnk' candidate='hatter' length-match=False\n cipher='dcnk' candidate='cheshire' length-match=False\n cipher='dcnk' candidate='queen' length-match=False\n cipher='dcnk' candidate='tea' length-match=False\n cipher='dcnk' candidate='cake' length-match=True\n cipher='dcnk' candidate='garden' length-match=False\n cipher='dcnk' candidate='mushroom' length-match=False\n cipher='dcnk' candidate='card' length-match=True\n cipher='dcnk' candidate='card' length-match=True\n cipher='dcnk' candidate='wonderland' length-match=False\n cipher='dcnk' candidate='white' length-match=False\n cipher='dcnk' candidate='down' length-match=True <- assign\n cipher='dcnk' candidate='smile' length-match=False\n cipher='dcnk' candidate='smiled' length-match=False\n cipher='dcnk' candidate='looking' length-match=False\n cipher='dcnk' candidate='glass' length-match=False\n cipher='dcnk' candidate='march' length-match=False\n cipher='dcnk' candidate='hare' length-match=True\n cipher='dcnk' candidate='dormouse' length-match=False\n cipher='npaom' candidate='alice' length-match=True\n cipher='npaom' candidate='rabbit' length-match=False\n cipher='npaom' candidate='hatter' length-match=False\n cipher='npaom' candidate='cheshire' length-match=False\n cipher='npaom' candidate='queen' length-match=True\n cipher='npaom' candidate='tea' length-match=False\n cipher='npaom' candidate='cake' length-match=False\n cipher='npaom' candidate='garden' length-match=False\n cipher='npaom' candidate='mushroom' length-match=False\n cipher='npaom' candidate='card' length-match=False\n cipher='npaom' candidate='card' length-match=False\n cipher='npaom' candidate='wonderland' length-match=False\n cipher='npaom' candidate='white' length-match=True <- assign\n cipher='npaom' candidate='down' length-match=False\n cipher='npaom' candidate='smile' length-match=True\n cipher='npaom' candidate='smiled' length-match=False\n cipher='npaom' candidate='looking' length-match=False\n cipher='npaom' candidate='glass' length-match=True\n cipher='npaom' candidate='march' length-match=True\n cipher='npaom' candidate='hare' length-match=False\n cipher='npaom' candidate='dormouse' length-match=False\n cipher='omz' candidate='alice' length-match=False\n cipher='omz' candidate='rabbit' length-match=False\n cipher='omz' candidate='hatter' length-match=False\n cipher='omz' candidate='cheshire' length-match=False\n cipher='omz' candidate='queen' length-match=False\n cipher='omz' candidate='tea' length-match=True <- assign\n cipher='omz' candidate='cake' length-match=False\n cipher='omz' candidate='garden' length-match=False\n cipher='omz' candidate='mushroom' length-match=False\n cipher='omz' candidate='card' length-match=False\n cipher='omz' candidate='card' length-match=False\n cipher='omz' candidate='wonderland' length-match=False\n cipher='omz' candidate='white' length-match=False\n cipher='omz' candidate='down' length-match=False\n cipher='omz' candidate='smile' length-match=False\n cipher='omz' candidate='smiled' length-match=False\n cipher='omz' candidate='looking' length-match=False\n cipher='omz' candidate='glass' length-match=False\n cipher='omz' candidate='march' length-match=False\n cipher='omz' candidate='hare' length-match=False\n cipher='omz' candidate='dormouse' length-match=False\n cipher='zqaim' candidate='alice' length-match=True <- assign\n cipher='zqaim' candidate='rabbit' length-match=False\n cipher='zqaim' candidate='hatter' length-match=False\n cipher='zqaim' candidate='cheshire' length-match=False\n cipher='zqaim' candidate='queen' length-match=True\n cipher='zqaim' candidate='tea' length-match=False\n cipher='zqaim' candidate='cake' length-match=False\n cipher='zqaim' candidate='garden' length-match=False\n cipher='zqaim' candidate='mushroom' length-match=False\n cipher='zqaim' candidate='card' length-match=False\n cipher='zqaim' candidate='card' length-match=False\n cipher='zqaim' candidate='wonderland' length-match=False\n cipher='zqaim' candidate='white' length-match=True\n cipher='zqaim' candidate='down' length-match=False\n cipher='zqaim' candidate='smile' length-match=True\n cipher='zqaim' candidate='smiled' length-match=False\n cipher='zqaim' candidate='looking' length-match=False\n cipher='zqaim' candidate='glass' length-match=True\n cipher='zqaim' candidate='march' length-match=True\n cipher='zqaim' candidate='hare' length-match=False\n cipher='zqaim' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n down white tea alice\nFinal: \\boxed{down white tea alice}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 11,42 -> 4211\n 64,77 -> 7764\n 94,84 -> 8494\nApply to: 46,18\n### Reasoning:\n<|cot_start|>Examples:\n 11,42 -> 4211\n 64,77 -> 7764\n 94,84 -> 8494\nCheck both candidate forms:\n concat(11,42)=1142 rev_concat(11,42)=4211 target=4211 rev_concat\n concat(64,77)=6477 rev_concat(64,77)=7764 target=7764 rev_concat\n concat(94,84)=9484 rev_concat(94,84)=8494 target=8494 rev_concat\nConclude operator: rev_concat.\nApply to (46, 18): answer = 1846\nFinal: \\boxed{1846}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dpxja pojjam poma eyaaw\n### Reasoning:\n<|cot_start|>Cipher text: dpxja pojjam poma eyaaw\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dpxja' candidate='alice' length-match=True\n cipher='dpxja' candidate='rabbit' length-match=False\n cipher='dpxja' candidate='hatter' length-match=False\n cipher='dpxja' candidate='cheshire' length-match=False\n cipher='dpxja' candidate='queen' length-match=True\n cipher='dpxja' candidate='tea' length-match=False\n cipher='dpxja' candidate='cake' length-match=False\n cipher='dpxja' candidate='garden' length-match=False\n cipher='dpxja' candidate='mushroom' length-match=False\n cipher='dpxja' candidate='card' length-match=False\n cipher='dpxja' candidate='card' length-match=False\n cipher='dpxja' candidate='wonderland' length-match=False\n cipher='dpxja' candidate='white' length-match=True <- assign\n cipher='dpxja' candidate='down' length-match=False\n cipher='dpxja' candidate='smile' length-match=True\n cipher='dpxja' candidate='smiled' length-match=False\n cipher='dpxja' candidate='looking' length-match=False\n cipher='dpxja' candidate='glass' length-match=True\n cipher='dpxja' candidate='march' length-match=True\n cipher='dpxja' candidate='hare' length-match=False\n cipher='dpxja' candidate='dormouse' length-match=False\n cipher='pojjam' candidate='alice' length-match=False\n cipher='pojjam' candidate='rabbit' length-match=True\n cipher='pojjam' candidate='hatter' length-match=True <- assign\n cipher='pojjam' candidate='cheshire' length-match=False\n cipher='pojjam' candidate='queen' length-match=False\n cipher='pojjam' candidate='tea' length-match=False\n cipher='pojjam' candidate='cake' length-match=False\n cipher='pojjam' candidate='garden' length-match=True\n cipher='pojjam' candidate='mushroom' length-match=False\n cipher='pojjam' candidate='card' length-match=False\n cipher='pojjam' candidate='card' length-match=False\n cipher='pojjam' candidate='wonderland' length-match=False\n cipher='pojjam' candidate='white' length-match=False\n cipher='pojjam' candidate='down' length-match=False\n cipher='pojjam' candidate='smile' length-match=False\n cipher='pojjam' candidate='smiled' length-match=True\n cipher='pojjam' candidate='looking' length-match=False\n cipher='pojjam' candidate='glass' length-match=False\n cipher='pojjam' candidate='march' length-match=False\n cipher='pojjam' candidate='hare' length-match=False\n cipher='pojjam' candidate='dormouse' length-match=False\n cipher='poma' candidate='alice' length-match=False\n cipher='poma' candidate='rabbit' length-match=False\n cipher='poma' candidate='hatter' length-match=False\n cipher='poma' candidate='cheshire' length-match=False\n cipher='poma' candidate='queen' length-match=False\n cipher='poma' candidate='tea' length-match=False\n cipher='poma' candidate='cake' length-match=True\n cipher='poma' candidate='garden' length-match=False\n cipher='poma' candidate='mushroom' length-match=False\n cipher='poma' candidate='card' length-match=True\n cipher='poma' candidate='card' length-match=True\n cipher='poma' candidate='wonderland' length-match=False\n cipher='poma' candidate='white' length-match=False\n cipher='poma' candidate='down' length-match=True\n cipher='poma' candidate='smile' length-match=False\n cipher='poma' candidate='smiled' length-match=False\n cipher='poma' candidate='looking' length-match=False\n cipher='poma' candidate='glass' length-match=False\n cipher='poma' candidate='march' length-match=False\n cipher='poma' candidate='hare' length-match=True <- assign\n cipher='poma' candidate='dormouse' length-match=False\n cipher='eyaaw' candidate='alice' length-match=True\n cipher='eyaaw' candidate='rabbit' length-match=False\n cipher='eyaaw' candidate='hatter' length-match=False\n cipher='eyaaw' candidate='cheshire' length-match=False\n cipher='eyaaw' candidate='queen' length-match=True <- assign\n cipher='eyaaw' candidate='tea' length-match=False\n cipher='eyaaw' candidate='cake' length-match=False\n cipher='eyaaw' candidate='garden' length-match=False\n cipher='eyaaw' candidate='mushroom' length-match=False\n cipher='eyaaw' candidate='card' length-match=False\n cipher='eyaaw' candidate='card' length-match=False\n cipher='eyaaw' candidate='wonderland' length-match=False\n cipher='eyaaw' candidate='white' length-match=True\n cipher='eyaaw' candidate='down' length-match=False\n cipher='eyaaw' candidate='smile' length-match=True\n cipher='eyaaw' candidate='smiled' length-match=False\n cipher='eyaaw' candidate='looking' length-match=False\n cipher='eyaaw' candidate='glass' length-match=True\n cipher='eyaaw' candidate='march' length-match=True\n cipher='eyaaw' candidate='hare' length-match=False\n cipher='eyaaw' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n white hatter hare queen\nFinal: \\boxed{white hatter hare queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 84,53 -> 5384\n 43,52 -> 5243\n 39,16 -> 1639\nApply to: 76,40\n### Reasoning:\n<|cot_start|>Examples:\n 84,53 -> 5384\n 43,52 -> 5243\n 39,16 -> 1639\nCheck both candidate forms:\n concat(84,53)=8453 rev_concat(84,53)=5384 target=5384 rev_concat\n concat(43,52)=4352 rev_concat(43,52)=5243 target=5243 rev_concat\n concat(39,16)=3916 rev_concat(39,16)=1639 target=1639 rev_concat\nConclude operator: rev_concat.\nApply to (76, 40): answer = 4076\nFinal: \\boxed{4076}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 26 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 26 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 6 * 10^0 * 981 = 5886\n running total = 25506\nSo F = 25506 centiNewtons = 255.06 N.\nFinal: \\boxed{255.06}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 31,53 -> 3153\n 63,37 -> 6337\n 78,42 -> 7842\nApply to: 55,90\n### Reasoning:\n<|cot_start|>Examples:\n 31,53 -> 3153\n 63,37 -> 6337\n 78,42 -> 7842\nCheck both candidate forms:\n concat(31,53)=3153 rev_concat(31,53)=5331 target=3153 concat\n concat(63,37)=6337 rev_concat(63,37)=3763 target=6337 concat\n concat(78,42)=7842 rev_concat(78,42)=4278 target=7842 concat\nConclude operator: concat.\nApply to (55, 90): answer = 5590\nFinal: \\boxed{5590}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 56,47 -> 2632\n 67,53 -> 3551\n 41,30 -> 1230\nApply to: 69,26\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 56,47: '+' gives 103; target=2632 no\n 56,47: '-' gives 9; target=2632 no\n 56,47: '*' gives 2632; target=2632 MATCH\n 56,47: 'concat' gives 5647; target=2632 no\n 56,47: 'rev_concat' gives 4756; target=2632 no\n 56,47: 'max*min+sum' gives 2735; target=2632 no\n 56,47: 'digitsum2' gives 484; target=2632 no\n 67,53: '+' gives 120; target=3551 no\n 67,53: '-' gives 14; target=3551 no\n 67,53: '*' gives 3551; target=3551 MATCH\n 67,53: 'concat' gives 6753; target=3551 no\n 67,53: 'rev_concat' gives 5367; target=3551 no\n 67,53: 'max*min+sum' gives 3671; target=3551 no\n 67,53: 'digitsum2' gives 441; target=3551 no\n 41,30: '+' gives 71; target=1230 no\n 41,30: '-' gives 11; target=1230 no\n 41,30: '*' gives 1230; target=1230 MATCH\n 41,30: 'concat' gives 4130; target=1230 no\n 41,30: 'rev_concat' gives 3041; target=1230 no\n 41,30: 'max*min+sum' gives 1301; target=1230 no\n 41,30: 'digitsum2' gives 64; target=1230 no\nThe only operator consistent with all examples is '*'.\nApply to (69, 26):\n result = 1794\nFinal: \\boxed{1794}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 77,44 -> 7744\n 43,11 -> 4311\n 59,60 -> 5960\nApply to: 35,13\n### Reasoning:\n<|cot_start|>Examples:\n 77,44 -> 7744\n 43,11 -> 4311\n 59,60 -> 5960\nCheck both candidate forms:\n concat(77,44)=7744 rev_concat(77,44)=4477 target=7744 concat\n concat(43,11)=4311 rev_concat(43,11)=1143 target=4311 concat\n concat(59,60)=5960 rev_concat(59,60)=6059 target=5960 concat\nConclude operator: concat.\nApply to (35, 13): answer = 3513\nFinal: \\boxed{3513}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 84,91 -> 175\n 26,50 -> 76\n 45,47 -> 92\nApply to: 67,53\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 84,91: '+' gives 175; target=175 MATCH\n 84,91: '-' gives 7; target=175 no\n 84,91: '*' gives 7644; target=175 no\n 84,91: 'concat' gives 8491; target=175 no\n 84,91: 'rev_concat' gives 9184; target=175 no\n 84,91: 'max*min+sum' gives 7819; target=175 no\n 84,91: 'digitsum2' gives 484; target=175 no\n 26,50: '+' gives 76; target=76 MATCH\n 26,50: '-' gives 24; target=76 no\n 26,50: '*' gives 1300; target=76 no\n 26,50: 'concat' gives 2650; target=76 no\n 26,50: 'rev_concat' gives 5026; target=76 no\n 26,50: 'max*min+sum' gives 1376; target=76 no\n 26,50: 'digitsum2' gives 169; target=76 no\n 45,47: '+' gives 92; target=92 MATCH\n 45,47: '-' gives 2; target=92 no\n 45,47: '*' gives 2115; target=92 no\n 45,47: 'concat' gives 4547; target=92 no\n 45,47: 'rev_concat' gives 4745; target=92 no\n 45,47: 'max*min+sum' gives 2207; target=92 no\n 45,47: 'digitsum2' gives 400; target=92 no\nThe only operator consistent with all examples is '+'.\nApply to (67, 53):\n result = 120\nFinal: \\boxed{120}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 47,35 -> 3547\n 93,56 -> 5693\n 41,82 -> 8241\nApply to: 20,38\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 47,35: '+' gives 82; target=3547 no\n 47,35: '-' gives 12; target=3547 no\n 47,35: '*' gives 1645; target=3547 no\n 47,35: 'concat' gives 4735; target=3547 no\n 47,35: 'rev_concat' gives 3547; target=3547 MATCH\n 47,35: 'max*min+sum' gives 1727; target=3547 no\n 47,35: 'digitsum2' gives 361; target=3547 no\n 93,56: '+' gives 149; target=5693 no\n 93,56: '-' gives 37; target=5693 no\n 93,56: '*' gives 5208; target=5693 no\n 93,56: 'concat' gives 9356; target=5693 no\n 93,56: 'rev_concat' gives 5693; target=5693 MATCH\n 93,56: 'max*min+sum' gives 5357; target=5693 no\n 93,56: 'digitsum2' gives 529; target=5693 no\n 41,82: '+' gives 123; target=8241 no\n 41,82: '-' gives 41; target=8241 no\n 41,82: '*' gives 3362; target=8241 no\n 41,82: 'concat' gives 4182; target=8241 no\n 41,82: 'rev_concat' gives 8241; target=8241 MATCH\n 41,82: 'max*min+sum' gives 3485; target=8241 no\n 41,82: 'digitsum2' gives 225; target=8241 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (20, 38):\n result = 3820\nFinal: \\boxed{3820}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n jbeam orebmw wpyrpcom rcoxyppr\n### Reasoning:\n<|cot_start|>Cipher text: jbeam orebmw wpyrpcom rcoxyppr\nTry each candidate Wonderland word against each ciphertext word:\n cipher='jbeam' candidate='alice' length-match=True <- assign\n cipher='jbeam' candidate='rabbit' length-match=False\n cipher='jbeam' candidate='hatter' length-match=False\n cipher='jbeam' candidate='cheshire' length-match=False\n cipher='jbeam' candidate='queen' length-match=True\n cipher='jbeam' candidate='tea' length-match=False\n cipher='jbeam' candidate='cake' length-match=False\n cipher='jbeam' candidate='garden' length-match=False\n cipher='jbeam' candidate='mushroom' length-match=False\n cipher='jbeam' candidate='card' length-match=False\n cipher='jbeam' candidate='card' length-match=False\n cipher='jbeam' candidate='wonderland' length-match=False\n cipher='jbeam' candidate='white' length-match=True\n cipher='jbeam' candidate='down' length-match=False\n cipher='jbeam' candidate='smile' length-match=True\n cipher='jbeam' candidate='smiled' length-match=False\n cipher='jbeam' candidate='looking' length-match=False\n cipher='jbeam' candidate='glass' length-match=True\n cipher='jbeam' candidate='march' length-match=True\n cipher='jbeam' candidate='hare' length-match=False\n cipher='jbeam' candidate='dormouse' length-match=False\n cipher='orebmw' candidate='alice' length-match=False\n cipher='orebmw' candidate='rabbit' length-match=True\n cipher='orebmw' candidate='hatter' length-match=True\n cipher='orebmw' candidate='cheshire' length-match=False\n cipher='orebmw' candidate='queen' length-match=False\n cipher='orebmw' candidate='tea' length-match=False\n cipher='orebmw' candidate='cake' length-match=False\n cipher='orebmw' candidate='garden' length-match=True\n cipher='orebmw' candidate='mushroom' length-match=False\n cipher='orebmw' candidate='card' length-match=False\n cipher='orebmw' candidate='card' length-match=False\n cipher='orebmw' candidate='wonderland' length-match=False\n cipher='orebmw' candidate='white' length-match=False\n cipher='orebmw' candidate='down' length-match=False\n cipher='orebmw' candidate='smile' length-match=False\n cipher='orebmw' candidate='smiled' length-match=True <- assign\n cipher='orebmw' candidate='looking' length-match=False\n cipher='orebmw' candidate='glass' length-match=False\n cipher='orebmw' candidate='march' length-match=False\n cipher='orebmw' candidate='hare' length-match=False\n cipher='orebmw' candidate='dormouse' length-match=False\n cipher='wpyrpcom' candidate='alice' length-match=False\n cipher='wpyrpcom' candidate='rabbit' length-match=False\n cipher='wpyrpcom' candidate='hatter' length-match=False\n cipher='wpyrpcom' candidate='cheshire' length-match=True\n cipher='wpyrpcom' candidate='queen' length-match=False\n cipher='wpyrpcom' candidate='tea' length-match=False\n cipher='wpyrpcom' candidate='cake' length-match=False\n cipher='wpyrpcom' candidate='garden' length-match=False\n cipher='wpyrpcom' candidate='mushroom' length-match=True\n cipher='wpyrpcom' candidate='card' length-match=False\n cipher='wpyrpcom' candidate='card' length-match=False\n cipher='wpyrpcom' candidate='wonderland' length-match=False\n cipher='wpyrpcom' candidate='white' length-match=False\n cipher='wpyrpcom' candidate='down' length-match=False\n cipher='wpyrpcom' candidate='smile' length-match=False\n cipher='wpyrpcom' candidate='smiled' length-match=False\n cipher='wpyrpcom' candidate='looking' length-match=False\n cipher='wpyrpcom' candidate='glass' length-match=False\n cipher='wpyrpcom' candidate='march' length-match=False\n cipher='wpyrpcom' candidate='hare' length-match=False\n cipher='wpyrpcom' candidate='dormouse' length-match=True <- assign\n cipher='rcoxyppr' candidate='alice' length-match=False\n cipher='rcoxyppr' candidate='rabbit' length-match=False\n cipher='rcoxyppr' candidate='hatter' length-match=False\n cipher='rcoxyppr' candidate='cheshire' length-match=True\n cipher='rcoxyppr' candidate='queen' length-match=False\n cipher='rcoxyppr' candidate='tea' length-match=False\n cipher='rcoxyppr' candidate='cake' length-match=False\n cipher='rcoxyppr' candidate='garden' length-match=False\n cipher='rcoxyppr' candidate='mushroom' length-match=True <- assign\n cipher='rcoxyppr' candidate='card' length-match=False\n cipher='rcoxyppr' candidate='card' length-match=False\n cipher='rcoxyppr' candidate='wonderland' length-match=False\n cipher='rcoxyppr' candidate='white' length-match=False\n cipher='rcoxyppr' candidate='down' length-match=False\n cipher='rcoxyppr' candidate='smile' length-match=False\n cipher='rcoxyppr' candidate='smiled' length-match=False\n cipher='rcoxyppr' candidate='looking' length-match=False\n cipher='rcoxyppr' candidate='glass' length-match=False\n cipher='rcoxyppr' candidate='march' length-match=False\n cipher='rcoxyppr' candidate='hare' length-match=False\n cipher='rcoxyppr' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n alice smiled dormouse mushroom\nFinal: \\boxed{alice smiled dormouse mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 32,28 -> 896\n 25,46 -> 1150\n 47,32 -> 1504\nApply to: 72,47\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 32,28: '+' gives 60; target=896 no\n 32,28: '-' gives 4; target=896 no\n 32,28: '*' gives 896; target=896 MATCH\n 32,28: 'concat' gives 3228; target=896 no\n 32,28: 'rev_concat' gives 2832; target=896 no\n 32,28: 'max*min+sum' gives 956; target=896 no\n 32,28: 'digitsum2' gives 225; target=896 no\n 25,46: '+' gives 71; target=1150 no\n 25,46: '-' gives 21; target=1150 no\n 25,46: '*' gives 1150; target=1150 MATCH\n 25,46: 'concat' gives 2546; target=1150 no\n 25,46: 'rev_concat' gives 4625; target=1150 no\n 25,46: 'max*min+sum' gives 1221; target=1150 no\n 25,46: 'digitsum2' gives 289; target=1150 no\n 47,32: '+' gives 79; target=1504 no\n 47,32: '-' gives 15; target=1504 no\n 47,32: '*' gives 1504; target=1504 MATCH\n 47,32: 'concat' gives 4732; target=1504 no\n 47,32: 'rev_concat' gives 3247; target=1504 no\n 47,32: 'max*min+sum' gives 1583; target=1504 no\n 47,32: 'digitsum2' gives 256; target=1504 no\nThe only operator consistent with all examples is '*'.\nApply to (72, 47):\n result = 3384\nFinal: \\boxed{3384}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n I = 1 -> 70 + 1 = 71\nFinal: \\boxed{71}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 21 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 21 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 1 * 10^0 * 981 = 981\n running total = 20601\nSo F = 20601 centiNewtons = 206.01 N.\nFinal: \\boxed{206.01}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 42,75 -> 4275\n 39,73 -> 3973\n 84,37 -> 8437\nApply to: 82,16\n### Reasoning:\n<|cot_start|>Examples:\n 42,75 -> 4275\n 39,73 -> 3973\n 84,37 -> 8437\nCheck both candidate forms:\n concat(42,75)=4275 rev_concat(42,75)=7542 target=4275 concat\n concat(39,73)=3973 rev_concat(39,73)=7339 target=3973 concat\n concat(84,37)=8437 rev_concat(84,37)=3784 target=8437 concat\nConclude operator: concat.\nApply to (82, 16): answer = 8216\nFinal: \\boxed{8216}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 62 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 62 kilometres = 62 * 1000 metres.\nCompute step by step:\n 6 * 10^1 * 1000 = 60000\n running total = 60000\n 2 * 10^0 * 1000 = 2000\n running total = 62000\nFinal: \\boxed{62000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n lbiqy bvqqyn nvuuiq vaiey\n### Reasoning:\n<|cot_start|>Cipher text: lbiqy bvqqyn nvuuiq vaiey\nTry each candidate Wonderland word against each ciphertext word:\n cipher='lbiqy' candidate='alice' length-match=True\n cipher='lbiqy' candidate='rabbit' length-match=False\n cipher='lbiqy' candidate='hatter' length-match=False\n cipher='lbiqy' candidate='cheshire' length-match=False\n cipher='lbiqy' candidate='queen' length-match=True\n cipher='lbiqy' candidate='tea' length-match=False\n cipher='lbiqy' candidate='cake' length-match=False\n cipher='lbiqy' candidate='garden' length-match=False\n cipher='lbiqy' candidate='mushroom' length-match=False\n cipher='lbiqy' candidate='card' length-match=False\n cipher='lbiqy' candidate='card' length-match=False\n cipher='lbiqy' candidate='wonderland' length-match=False\n cipher='lbiqy' candidate='white' length-match=True <- assign\n cipher='lbiqy' candidate='down' length-match=False\n cipher='lbiqy' candidate='smile' length-match=True\n cipher='lbiqy' candidate='smiled' length-match=False\n cipher='lbiqy' candidate='looking' length-match=False\n cipher='lbiqy' candidate='glass' length-match=True\n cipher='lbiqy' candidate='march' length-match=True\n cipher='lbiqy' candidate='hare' length-match=False\n cipher='lbiqy' candidate='dormouse' length-match=False\n cipher='bvqqyn' candidate='alice' length-match=False\n cipher='bvqqyn' candidate='rabbit' length-match=True\n cipher='bvqqyn' candidate='hatter' length-match=True <- assign\n cipher='bvqqyn' candidate='cheshire' length-match=False\n cipher='bvqqyn' candidate='queen' length-match=False\n cipher='bvqqyn' candidate='tea' length-match=False\n cipher='bvqqyn' candidate='cake' length-match=False\n cipher='bvqqyn' candidate='garden' length-match=True\n cipher='bvqqyn' candidate='mushroom' length-match=False\n cipher='bvqqyn' candidate='card' length-match=False\n cipher='bvqqyn' candidate='card' length-match=False\n cipher='bvqqyn' candidate='wonderland' length-match=False\n cipher='bvqqyn' candidate='white' length-match=False\n cipher='bvqqyn' candidate='down' length-match=False\n cipher='bvqqyn' candidate='smile' length-match=False\n cipher='bvqqyn' candidate='smiled' length-match=True\n cipher='bvqqyn' candidate='looking' length-match=False\n cipher='bvqqyn' candidate='glass' length-match=False\n cipher='bvqqyn' candidate='march' length-match=False\n cipher='bvqqyn' candidate='hare' length-match=False\n cipher='bvqqyn' candidate='dormouse' length-match=False\n cipher='nvuuiq' candidate='alice' length-match=False\n cipher='nvuuiq' candidate='rabbit' length-match=True <- assign\n cipher='nvuuiq' candidate='hatter' length-match=True\n cipher='nvuuiq' candidate='cheshire' length-match=False\n cipher='nvuuiq' candidate='queen' length-match=False\n cipher='nvuuiq' candidate='tea' length-match=False\n cipher='nvuuiq' candidate='cake' length-match=False\n cipher='nvuuiq' candidate='garden' length-match=True\n cipher='nvuuiq' candidate='mushroom' length-match=False\n cipher='nvuuiq' candidate='card' length-match=False\n cipher='nvuuiq' candidate='card' length-match=False\n cipher='nvuuiq' candidate='wonderland' length-match=False\n cipher='nvuuiq' candidate='white' length-match=False\n cipher='nvuuiq' candidate='down' length-match=False\n cipher='nvuuiq' candidate='smile' length-match=False\n cipher='nvuuiq' candidate='smiled' length-match=True\n cipher='nvuuiq' candidate='looking' length-match=False\n cipher='nvuuiq' candidate='glass' length-match=False\n cipher='nvuuiq' candidate='march' length-match=False\n cipher='nvuuiq' candidate='hare' length-match=False\n cipher='nvuuiq' candidate='dormouse' length-match=False\n cipher='vaiey' candidate='alice' length-match=True <- assign\n cipher='vaiey' candidate='rabbit' length-match=False\n cipher='vaiey' candidate='hatter' length-match=False\n cipher='vaiey' candidate='cheshire' length-match=False\n cipher='vaiey' candidate='queen' length-match=True\n cipher='vaiey' candidate='tea' length-match=False\n cipher='vaiey' candidate='cake' length-match=False\n cipher='vaiey' candidate='garden' length-match=False\n cipher='vaiey' candidate='mushroom' length-match=False\n cipher='vaiey' candidate='card' length-match=False\n cipher='vaiey' candidate='card' length-match=False\n cipher='vaiey' candidate='wonderland' length-match=False\n cipher='vaiey' candidate='white' length-match=True\n cipher='vaiey' candidate='down' length-match=False\n cipher='vaiey' candidate='smile' length-match=True\n cipher='vaiey' candidate='smiled' length-match=False\n cipher='vaiey' candidate='looking' length-match=False\n cipher='vaiey' candidate='glass' length-match=True\n cipher='vaiey' candidate='march' length-match=True\n cipher='vaiey' candidate='hare' length-match=False\n cipher='vaiey' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n white hatter rabbit alice\nFinal: \\boxed{white hatter rabbit alice}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 54,49 -> 5449\n 28,47 -> 2847\n 73,43 -> 7343\nApply to: 60,86\n### Reasoning:\n<|cot_start|>Examples:\n 54,49 -> 5449\n 28,47 -> 2847\n 73,43 -> 7343\nCheck both candidate forms:\n concat(54,49)=5449 rev_concat(54,49)=4954 target=5449 concat\n concat(28,47)=2847 rev_concat(28,47)=4728 target=2847 concat\n concat(73,43)=7343 rev_concat(73,43)=4373 target=7343 concat\nConclude operator: concat.\nApply to (60, 86): answer = 6086\nFinal: \\boxed{6086}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00110100 -> 11001011\n 11101011 -> 00010100\n 01011101 -> 10100010\nApply to: 01100101\n### Reasoning:\n<|cot_start|>Given examples:\n 00110100 -> 11001011\n 11101011 -> 00010100\n 01011101 -> 10100010\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 1,0,1\n bit 1: 0,1,1 -> 1,0,0\n bit 2: 1,1,0 -> 0,0,1\n bit 3: 1,0,1 -> 0,1,0\n bit 4: 0,1,1 -> 1,0,0\n bit 5: 1,0,1 -> 0,1,0\n bit 6: 0,1,0 -> 1,0,1\n bit 7: 0,1,1 -> 1,0,0\nDeduce rule: invert (NOT).\nApply to 01100101:\n result = 10011010\nFinal: \\boxed{10011010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n iprmpwar zjsk pgar vgazrk\n### Reasoning:\n<|cot_start|>Cipher text: iprmpwar zjsk pgar vgazrk\nTry each candidate Wonderland word against each ciphertext word:\n cipher='iprmpwar' candidate='alice' length-match=False\n cipher='iprmpwar' candidate='rabbit' length-match=False\n cipher='iprmpwar' candidate='hatter' length-match=False\n cipher='iprmpwar' candidate='cheshire' length-match=True <- assign\n cipher='iprmpwar' candidate='queen' length-match=False\n cipher='iprmpwar' candidate='tea' length-match=False\n cipher='iprmpwar' candidate='cake' length-match=False\n cipher='iprmpwar' candidate='garden' length-match=False\n cipher='iprmpwar' candidate='mushroom' length-match=True\n cipher='iprmpwar' candidate='card' length-match=False\n cipher='iprmpwar' candidate='card' length-match=False\n cipher='iprmpwar' candidate='wonderland' length-match=False\n cipher='iprmpwar' candidate='white' length-match=False\n cipher='iprmpwar' candidate='down' length-match=False\n cipher='iprmpwar' candidate='smile' length-match=False\n cipher='iprmpwar' candidate='smiled' length-match=False\n cipher='iprmpwar' candidate='looking' length-match=False\n cipher='iprmpwar' candidate='glass' length-match=False\n cipher='iprmpwar' candidate='march' length-match=False\n cipher='iprmpwar' candidate='hare' length-match=False\n cipher='iprmpwar' candidate='dormouse' length-match=True\n cipher='zjsk' candidate='alice' length-match=False\n cipher='zjsk' candidate='rabbit' length-match=False\n cipher='zjsk' candidate='hatter' length-match=False\n cipher='zjsk' candidate='cheshire' length-match=False\n cipher='zjsk' candidate='queen' length-match=False\n cipher='zjsk' candidate='tea' length-match=False\n cipher='zjsk' candidate='cake' length-match=True\n cipher='zjsk' candidate='garden' length-match=False\n cipher='zjsk' candidate='mushroom' length-match=False\n cipher='zjsk' candidate='card' length-match=True\n cipher='zjsk' candidate='card' length-match=True\n cipher='zjsk' candidate='wonderland' length-match=False\n cipher='zjsk' candidate='white' length-match=False\n cipher='zjsk' candidate='down' length-match=True <- assign\n cipher='zjsk' candidate='smile' length-match=False\n cipher='zjsk' candidate='smiled' length-match=False\n cipher='zjsk' candidate='looking' length-match=False\n cipher='zjsk' candidate='glass' length-match=False\n cipher='zjsk' candidate='march' length-match=False\n cipher='zjsk' candidate='hare' length-match=True\n cipher='zjsk' candidate='dormouse' length-match=False\n cipher='pgar' candidate='alice' length-match=False\n cipher='pgar' candidate='rabbit' length-match=False\n cipher='pgar' candidate='hatter' length-match=False\n cipher='pgar' candidate='cheshire' length-match=False\n cipher='pgar' candidate='queen' length-match=False\n cipher='pgar' candidate='tea' length-match=False\n cipher='pgar' candidate='cake' length-match=True\n cipher='pgar' candidate='garden' length-match=False\n cipher='pgar' candidate='mushroom' length-match=False\n cipher='pgar' candidate='card' length-match=True\n cipher='pgar' candidate='card' length-match=True\n cipher='pgar' candidate='wonderland' length-match=False\n cipher='pgar' candidate='white' length-match=False\n cipher='pgar' candidate='down' length-match=True\n cipher='pgar' candidate='smile' length-match=False\n cipher='pgar' candidate='smiled' length-match=False\n cipher='pgar' candidate='looking' length-match=False\n cipher='pgar' candidate='glass' length-match=False\n cipher='pgar' candidate='march' length-match=False\n cipher='pgar' candidate='hare' length-match=True <- assign\n cipher='pgar' candidate='dormouse' length-match=False\n cipher='vgazrk' candidate='alice' length-match=False\n cipher='vgazrk' candidate='rabbit' length-match=True\n cipher='vgazrk' candidate='hatter' length-match=True\n cipher='vgazrk' candidate='cheshire' length-match=False\n cipher='vgazrk' candidate='queen' length-match=False\n cipher='vgazrk' candidate='tea' length-match=False\n cipher='vgazrk' candidate='cake' length-match=False\n cipher='vgazrk' candidate='garden' length-match=True <- assign\n cipher='vgazrk' candidate='mushroom' length-match=False\n cipher='vgazrk' candidate='card' length-match=False\n cipher='vgazrk' candidate='card' length-match=False\n cipher='vgazrk' candidate='wonderland' length-match=False\n cipher='vgazrk' candidate='white' length-match=False\n cipher='vgazrk' candidate='down' length-match=False\n cipher='vgazrk' candidate='smile' length-match=False\n cipher='vgazrk' candidate='smiled' length-match=True\n cipher='vgazrk' candidate='looking' length-match=False\n cipher='vgazrk' candidate='glass' length-match=False\n cipher='vgazrk' candidate='march' length-match=False\n cipher='vgazrk' candidate='hare' length-match=False\n cipher='vgazrk' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cheshire down hare garden\nFinal: \\boxed{cheshire down hare garden}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n I = 1 -> 50 + 1 = 51\n I = 1 -> 51 + 1 = 52\nFinal: \\boxed{52}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n alooc tpkqy kpnnuf etumo\n### Reasoning:\n<|cot_start|>Cipher text: alooc tpkqy kpnnuf etumo\nTry each candidate Wonderland word against each ciphertext word:\n cipher='alooc' candidate='alice' length-match=True\n cipher='alooc' candidate='rabbit' length-match=False\n cipher='alooc' candidate='hatter' length-match=False\n cipher='alooc' candidate='cheshire' length-match=False\n cipher='alooc' candidate='queen' length-match=True <- assign\n cipher='alooc' candidate='tea' length-match=False\n cipher='alooc' candidate='cake' length-match=False\n cipher='alooc' candidate='garden' length-match=False\n cipher='alooc' candidate='mushroom' length-match=False\n cipher='alooc' candidate='card' length-match=False\n cipher='alooc' candidate='card' length-match=False\n cipher='alooc' candidate='wonderland' length-match=False\n cipher='alooc' candidate='white' length-match=True\n cipher='alooc' candidate='down' length-match=False\n cipher='alooc' candidate='smile' length-match=True\n cipher='alooc' candidate='smiled' length-match=False\n cipher='alooc' candidate='looking' length-match=False\n cipher='alooc' candidate='glass' length-match=True\n cipher='alooc' candidate='march' length-match=True\n cipher='alooc' candidate='hare' length-match=False\n cipher='alooc' candidate='dormouse' length-match=False\n cipher='tpkqy' candidate='alice' length-match=True\n cipher='tpkqy' candidate='rabbit' length-match=False\n cipher='tpkqy' candidate='hatter' length-match=False\n cipher='tpkqy' candidate='cheshire' length-match=False\n cipher='tpkqy' candidate='queen' length-match=True\n cipher='tpkqy' candidate='tea' length-match=False\n cipher='tpkqy' candidate='cake' length-match=False\n cipher='tpkqy' candidate='garden' length-match=False\n cipher='tpkqy' candidate='mushroom' length-match=False\n cipher='tpkqy' candidate='card' length-match=False\n cipher='tpkqy' candidate='card' length-match=False\n cipher='tpkqy' candidate='wonderland' length-match=False\n cipher='tpkqy' candidate='white' length-match=True\n cipher='tpkqy' candidate='down' length-match=False\n cipher='tpkqy' candidate='smile' length-match=True\n cipher='tpkqy' candidate='smiled' length-match=False\n cipher='tpkqy' candidate='looking' length-match=False\n cipher='tpkqy' candidate='glass' length-match=True\n cipher='tpkqy' candidate='march' length-match=True <- assign\n cipher='tpkqy' candidate='hare' length-match=False\n cipher='tpkqy' candidate='dormouse' length-match=False\n cipher='kpnnuf' candidate='alice' length-match=False\n cipher='kpnnuf' candidate='rabbit' length-match=True <- assign\n cipher='kpnnuf' candidate='hatter' length-match=True\n cipher='kpnnuf' candidate='cheshire' length-match=False\n cipher='kpnnuf' candidate='queen' length-match=False\n cipher='kpnnuf' candidate='tea' length-match=False\n cipher='kpnnuf' candidate='cake' length-match=False\n cipher='kpnnuf' candidate='garden' length-match=True\n cipher='kpnnuf' candidate='mushroom' length-match=False\n cipher='kpnnuf' candidate='card' length-match=False\n cipher='kpnnuf' candidate='card' length-match=False\n cipher='kpnnuf' candidate='wonderland' length-match=False\n cipher='kpnnuf' candidate='white' length-match=False\n cipher='kpnnuf' candidate='down' length-match=False\n cipher='kpnnuf' candidate='smile' length-match=False\n cipher='kpnnuf' candidate='smiled' length-match=True\n cipher='kpnnuf' candidate='looking' length-match=False\n cipher='kpnnuf' candidate='glass' length-match=False\n cipher='kpnnuf' candidate='march' length-match=False\n cipher='kpnnuf' candidate='hare' length-match=False\n cipher='kpnnuf' candidate='dormouse' length-match=False\n cipher='etumo' candidate='alice' length-match=True\n cipher='etumo' candidate='rabbit' length-match=False\n cipher='etumo' candidate='hatter' length-match=False\n cipher='etumo' candidate='cheshire' length-match=False\n cipher='etumo' candidate='queen' length-match=True\n cipher='etumo' candidate='tea' length-match=False\n cipher='etumo' candidate='cake' length-match=False\n cipher='etumo' candidate='garden' length-match=False\n cipher='etumo' candidate='mushroom' length-match=False\n cipher='etumo' candidate='card' length-match=False\n cipher='etumo' candidate='card' length-match=False\n cipher='etumo' candidate='wonderland' length-match=False\n cipher='etumo' candidate='white' length-match=True\n cipher='etumo' candidate='down' length-match=False\n cipher='etumo' candidate='smile' length-match=True <- assign\n cipher='etumo' candidate='smiled' length-match=False\n cipher='etumo' candidate='looking' length-match=False\n cipher='etumo' candidate='glass' length-match=True\n cipher='etumo' candidate='march' length-match=True\n cipher='etumo' candidate='hare' length-match=False\n cipher='etumo' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n queen march rabbit smile\nFinal: \\boxed{queen march rabbit smile}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n IX = 9 -> 70 + 9 = 79\nFinal: \\boxed{79}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n ulqw nexxa woqroesx resbqoor\n### Reasoning:\n<|cot_start|>Cipher text: ulqw nexxa woqroesx resbqoor\nTry each candidate Wonderland word against each ciphertext word:\n cipher='ulqw' candidate='alice' length-match=False\n cipher='ulqw' candidate='rabbit' length-match=False\n cipher='ulqw' candidate='hatter' length-match=False\n cipher='ulqw' candidate='cheshire' length-match=False\n cipher='ulqw' candidate='queen' length-match=False\n cipher='ulqw' candidate='tea' length-match=False\n cipher='ulqw' candidate='cake' length-match=True\n cipher='ulqw' candidate='garden' length-match=False\n cipher='ulqw' candidate='mushroom' length-match=False\n cipher='ulqw' candidate='card' length-match=True <- assign\n cipher='ulqw' candidate='card' length-match=True <- assign\n cipher='ulqw' candidate='wonderland' length-match=False\n cipher='ulqw' candidate='white' length-match=False\n cipher='ulqw' candidate='down' length-match=True\n cipher='ulqw' candidate='smile' length-match=False\n cipher='ulqw' candidate='smiled' length-match=False\n cipher='ulqw' candidate='looking' length-match=False\n cipher='ulqw' candidate='glass' length-match=False\n cipher='ulqw' candidate='march' length-match=False\n cipher='ulqw' candidate='hare' length-match=True\n cipher='ulqw' candidate='dormouse' length-match=False\n cipher='nexxa' candidate='alice' length-match=True\n cipher='nexxa' candidate='rabbit' length-match=False\n cipher='nexxa' candidate='hatter' length-match=False\n cipher='nexxa' candidate='cheshire' length-match=False\n cipher='nexxa' candidate='queen' length-match=True <- assign\n cipher='nexxa' candidate='tea' length-match=False\n cipher='nexxa' candidate='cake' length-match=False\n cipher='nexxa' candidate='garden' length-match=False\n cipher='nexxa' candidate='mushroom' length-match=False\n cipher='nexxa' candidate='card' length-match=False\n cipher='nexxa' candidate='card' length-match=False\n cipher='nexxa' candidate='wonderland' length-match=False\n cipher='nexxa' candidate='white' length-match=True\n cipher='nexxa' candidate='down' length-match=False\n cipher='nexxa' candidate='smile' length-match=True\n cipher='nexxa' candidate='smiled' length-match=False\n cipher='nexxa' candidate='looking' length-match=False\n cipher='nexxa' candidate='glass' length-match=True\n cipher='nexxa' candidate='march' length-match=True\n cipher='nexxa' candidate='hare' length-match=False\n cipher='nexxa' candidate='dormouse' length-match=False\n cipher='woqroesx' candidate='alice' length-match=False\n cipher='woqroesx' candidate='rabbit' length-match=False\n cipher='woqroesx' candidate='hatter' length-match=False\n cipher='woqroesx' candidate='cheshire' length-match=True\n cipher='woqroesx' candidate='queen' length-match=False\n cipher='woqroesx' candidate='tea' length-match=False\n cipher='woqroesx' candidate='cake' length-match=False\n cipher='woqroesx' candidate='garden' length-match=False\n cipher='woqroesx' candidate='mushroom' length-match=True\n cipher='woqroesx' candidate='card' length-match=False\n cipher='woqroesx' candidate='card' length-match=False\n cipher='woqroesx' candidate='wonderland' length-match=False\n cipher='woqroesx' candidate='white' length-match=False\n cipher='woqroesx' candidate='down' length-match=False\n cipher='woqroesx' candidate='smile' length-match=False\n cipher='woqroesx' candidate='smiled' length-match=False\n cipher='woqroesx' candidate='looking' length-match=False\n cipher='woqroesx' candidate='glass' length-match=False\n cipher='woqroesx' candidate='march' length-match=False\n cipher='woqroesx' candidate='hare' length-match=False\n cipher='woqroesx' candidate='dormouse' length-match=True <- assign\n cipher='resbqoor' candidate='alice' length-match=False\n cipher='resbqoor' candidate='rabbit' length-match=False\n cipher='resbqoor' candidate='hatter' length-match=False\n cipher='resbqoor' candidate='cheshire' length-match=True\n cipher='resbqoor' candidate='queen' length-match=False\n cipher='resbqoor' candidate='tea' length-match=False\n cipher='resbqoor' candidate='cake' length-match=False\n cipher='resbqoor' candidate='garden' length-match=False\n cipher='resbqoor' candidate='mushroom' length-match=True <- assign\n cipher='resbqoor' candidate='card' length-match=False\n cipher='resbqoor' candidate='card' length-match=False\n cipher='resbqoor' candidate='wonderland' length-match=False\n cipher='resbqoor' candidate='white' length-match=False\n cipher='resbqoor' candidate='down' length-match=False\n cipher='resbqoor' candidate='smile' length-match=False\n cipher='resbqoor' candidate='smiled' length-match=False\n cipher='resbqoor' candidate='looking' length-match=False\n cipher='resbqoor' candidate='glass' length-match=False\n cipher='resbqoor' candidate='march' length-match=False\n cipher='resbqoor' candidate='hare' length-match=False\n cipher='resbqoor' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n card queen dormouse mushroom\nFinal: \\boxed{card queen dormouse mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 48,52 -> 361\n 48,87 -> 729\n 29,72 -> 400\nApply to: 66,10\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 48,52: '+' gives 100; target=361 no\n 48,52: '-' gives 4; target=361 no\n 48,52: '*' gives 2496; target=361 no\n 48,52: 'concat' gives 4852; target=361 no\n 48,52: 'rev_concat' gives 5248; target=361 no\n 48,52: 'max*min+sum' gives 2596; target=361 no\n 48,52: 'digitsum2' gives 361; target=361 MATCH\n 48,87: '+' gives 135; target=729 no\n 48,87: '-' gives 39; target=729 no\n 48,87: '*' gives 4176; target=729 no\n 48,87: 'concat' gives 4887; target=729 no\n 48,87: 'rev_concat' gives 8748; target=729 no\n 48,87: 'max*min+sum' gives 4311; target=729 no\n 48,87: 'digitsum2' gives 729; target=729 MATCH\n 29,72: '+' gives 101; target=400 no\n 29,72: '-' gives 43; target=400 no\n 29,72: '*' gives 2088; target=400 no\n 29,72: 'concat' gives 2972; target=400 no\n 29,72: 'rev_concat' gives 7229; target=400 no\n 29,72: 'max*min+sum' gives 2189; target=400 no\n 29,72: 'digitsum2' gives 400; target=400 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (66, 10):\n result = 169\nFinal: \\boxed{169}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 36 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 36 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 6 * 10^0 * 981 = 5886\n running total = 35316\nSo F = 35316 centiNewtons = 353.16 N.\nFinal: \\boxed{353.16}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 27 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 27 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 7 * 10^0 * 981 = 6867\n running total = 26487\nSo F = 26487 centiNewtons = 264.87 N.\nFinal: \\boxed{264.87}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10111100 -> 00001100\n 01011111 -> 00001111\n 11011001 -> 00001001\nApply to: 00000100\n### Reasoning:\n<|cot_start|>Given examples:\n 10111100 -> 00001100\n 01011111 -> 00001111\n 11011001 -> 00001001\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,0,0\n bit 1: 0,1,1 -> 0,0,0\n bit 2: 1,0,0 -> 0,0,0\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 1,1,1 -> 1,1,1\n bit 5: 1,1,0 -> 1,1,0\n bit 6: 0,1,0 -> 0,1,0\n bit 7: 0,1,1 -> 0,1,1\nDeduce rule: and 0x0F.\nApply to 00000100:\n result = 00000100\nFinal: \\boxed{00000100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 60,18 -> 6018\n 84,70 -> 8470\n 66,96 -> 6696\nApply to: 22,31\n### Reasoning:\n<|cot_start|>Examples:\n 60,18 -> 6018\n 84,70 -> 8470\n 66,96 -> 6696\nCheck both candidate forms:\n concat(60,18)=6018 rev_concat(60,18)=1860 target=6018 concat\n concat(84,70)=8470 rev_concat(84,70)=7084 target=8470 concat\n concat(66,96)=6696 rev_concat(66,96)=9666 target=6696 concat\nConclude operator: concat.\nApply to (22, 31): answer = 2231\nFinal: \\boxed{2231}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00000000 -> 00000000\n 11011110 -> 01111011\n 10010011 -> 11001001\nApply to: 11111000\n### Reasoning:\n<|cot_start|>Given examples:\n 00000000 -> 00000000\n 11011110 -> 01111011\n 10010011 -> 11001001\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,0,1\n bit 1: 0,1,0 -> 0,1,1\n bit 2: 0,0,0 -> 0,1,0\n bit 3: 0,1,1 -> 0,1,0\n bit 4: 0,1,0 -> 0,1,1\n bit 5: 0,1,0 -> 0,0,0\n bit 6: 0,1,1 -> 0,1,0\n bit 7: 0,0,1 -> 0,1,1\nDeduce rule: reverse bits.\nApply to 11111000:\n result = 00011111\nFinal: \\boxed{00011111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11010111 -> 10000010\n 00011101 -> 01001000\n 10010111 -> 11000010\nApply to: 01010111\n### Reasoning:\n<|cot_start|>Given examples:\n 11010111 -> 10000010\n 00011101 -> 01001000\n 10010111 -> 11000010\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 1,0,1\n bit 1: 1,0,0 -> 0,1,1\n bit 2: 0,0,0 -> 0,0,0\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 1,1,1 -> 0,0,0\n bit 6: 1,0,1 -> 1,0,1\n bit 7: 1,1,1 -> 0,0,0\nDeduce rule: xor 0x55.\nApply to 01010111:\n result = 00000010\nFinal: \\boxed{00000010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n I = 1 -> 60 + 1 = 61\n I = 1 -> 61 + 1 = 62\n I = 1 -> 62 + 1 = 63\nFinal: \\boxed{63}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n sbjymu agmngxjm kdmmu tgxqm\n### Reasoning:\n<|cot_start|>Cipher text: sbjymu agmngxjm kdmmu tgxqm\nTry each candidate Wonderland word against each ciphertext word:\n cipher='sbjymu' candidate='alice' length-match=False\n cipher='sbjymu' candidate='rabbit' length-match=True\n cipher='sbjymu' candidate='hatter' length-match=True\n cipher='sbjymu' candidate='cheshire' length-match=False\n cipher='sbjymu' candidate='queen' length-match=False\n cipher='sbjymu' candidate='tea' length-match=False\n cipher='sbjymu' candidate='cake' length-match=False\n cipher='sbjymu' candidate='garden' length-match=True <- assign\n cipher='sbjymu' candidate='mushroom' length-match=False\n cipher='sbjymu' candidate='card' length-match=False\n cipher='sbjymu' candidate='card' length-match=False\n cipher='sbjymu' candidate='wonderland' length-match=False\n cipher='sbjymu' candidate='white' length-match=False\n cipher='sbjymu' candidate='down' length-match=False\n cipher='sbjymu' candidate='smile' length-match=False\n cipher='sbjymu' candidate='smiled' length-match=True\n cipher='sbjymu' candidate='looking' length-match=False\n cipher='sbjymu' candidate='glass' length-match=False\n cipher='sbjymu' candidate='march' length-match=False\n cipher='sbjymu' candidate='hare' length-match=False\n cipher='sbjymu' candidate='dormouse' length-match=False\n cipher='agmngxjm' candidate='alice' length-match=False\n cipher='agmngxjm' candidate='rabbit' length-match=False\n cipher='agmngxjm' candidate='hatter' length-match=False\n cipher='agmngxjm' candidate='cheshire' length-match=True <- assign\n cipher='agmngxjm' candidate='queen' length-match=False\n cipher='agmngxjm' candidate='tea' length-match=False\n cipher='agmngxjm' candidate='cake' length-match=False\n cipher='agmngxjm' candidate='garden' length-match=False\n cipher='agmngxjm' candidate='mushroom' length-match=True\n cipher='agmngxjm' candidate='card' length-match=False\n cipher='agmngxjm' candidate='card' length-match=False\n cipher='agmngxjm' candidate='wonderland' length-match=False\n cipher='agmngxjm' candidate='white' length-match=False\n cipher='agmngxjm' candidate='down' length-match=False\n cipher='agmngxjm' candidate='smile' length-match=False\n cipher='agmngxjm' candidate='smiled' length-match=False\n cipher='agmngxjm' candidate='looking' length-match=False\n cipher='agmngxjm' candidate='glass' length-match=False\n cipher='agmngxjm' candidate='march' length-match=False\n cipher='agmngxjm' candidate='hare' length-match=False\n cipher='agmngxjm' candidate='dormouse' length-match=True\n cipher='kdmmu' candidate='alice' length-match=True\n cipher='kdmmu' candidate='rabbit' length-match=False\n cipher='kdmmu' candidate='hatter' length-match=False\n cipher='kdmmu' candidate='cheshire' length-match=False\n cipher='kdmmu' candidate='queen' length-match=True <- assign\n cipher='kdmmu' candidate='tea' length-match=False\n cipher='kdmmu' candidate='cake' length-match=False\n cipher='kdmmu' candidate='garden' length-match=False\n cipher='kdmmu' candidate='mushroom' length-match=False\n cipher='kdmmu' candidate='card' length-match=False\n cipher='kdmmu' candidate='card' length-match=False\n cipher='kdmmu' candidate='wonderland' length-match=False\n cipher='kdmmu' candidate='white' length-match=True\n cipher='kdmmu' candidate='down' length-match=False\n cipher='kdmmu' candidate='smile' length-match=True\n cipher='kdmmu' candidate='smiled' length-match=False\n cipher='kdmmu' candidate='looking' length-match=False\n cipher='kdmmu' candidate='glass' length-match=True\n cipher='kdmmu' candidate='march' length-match=True\n cipher='kdmmu' candidate='hare' length-match=False\n cipher='kdmmu' candidate='dormouse' length-match=False\n cipher='tgxqm' candidate='alice' length-match=True\n cipher='tgxqm' candidate='rabbit' length-match=False\n cipher='tgxqm' candidate='hatter' length-match=False\n cipher='tgxqm' candidate='cheshire' length-match=False\n cipher='tgxqm' candidate='queen' length-match=True\n cipher='tgxqm' candidate='tea' length-match=False\n cipher='tgxqm' candidate='cake' length-match=False\n cipher='tgxqm' candidate='garden' length-match=False\n cipher='tgxqm' candidate='mushroom' length-match=False\n cipher='tgxqm' candidate='card' length-match=False\n cipher='tgxqm' candidate='card' length-match=False\n cipher='tgxqm' candidate='wonderland' length-match=False\n cipher='tgxqm' candidate='white' length-match=True <- assign\n cipher='tgxqm' candidate='down' length-match=False\n cipher='tgxqm' candidate='smile' length-match=True\n cipher='tgxqm' candidate='smiled' length-match=False\n cipher='tgxqm' candidate='looking' length-match=False\n cipher='tgxqm' candidate='glass' length-match=True\n cipher='tgxqm' candidate='march' length-match=True\n cipher='tgxqm' candidate='hare' length-match=False\n cipher='tgxqm' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n garden cheshire queen white\nFinal: \\boxed{garden cheshire queen white}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 3 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 3 * 981.\nStep-by-step multiplication:\n 3 * 10^0 * 981 = 2943\n running total = 2943\nSo F = 2943 centiNewtons = 29.43 N.\nFinal: \\boxed{29.43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 46,20 -> 66\n 83,84 -> 167\n 22,37 -> 59\nApply to: 48,61\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 46,20: '+' gives 66; target=66 MATCH\n 46,20: '-' gives 26; target=66 no\n 46,20: '*' gives 920; target=66 no\n 46,20: 'concat' gives 4620; target=66 no\n 46,20: 'rev_concat' gives 2046; target=66 no\n 46,20: 'max*min+sum' gives 986; target=66 no\n 46,20: 'digitsum2' gives 144; target=66 no\n 83,84: '+' gives 167; target=167 MATCH\n 83,84: '-' gives 1; target=167 no\n 83,84: '*' gives 6972; target=167 no\n 83,84: 'concat' gives 8384; target=167 no\n 83,84: 'rev_concat' gives 8483; target=167 no\n 83,84: 'max*min+sum' gives 7139; target=167 no\n 83,84: 'digitsum2' gives 529; target=167 no\n 22,37: '+' gives 59; target=59 MATCH\n 22,37: '-' gives 15; target=59 no\n 22,37: '*' gives 814; target=59 no\n 22,37: 'concat' gives 2237; target=59 no\n 22,37: 'rev_concat' gives 3722; target=59 no\n 22,37: 'max*min+sum' gives 873; target=59 no\n 22,37: 'digitsum2' gives 196; target=59 no\nThe only operator consistent with all examples is '+'.\nApply to (48, 61):\n result = 109\nFinal: \\boxed{109}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n wsua usccjd kyyfjiv xebbi\n### Reasoning:\n<|cot_start|>Cipher text: wsua usccjd kyyfjiv xebbi\nTry each candidate Wonderland word against each ciphertext word:\n cipher='wsua' candidate='alice' length-match=False\n cipher='wsua' candidate='rabbit' length-match=False\n cipher='wsua' candidate='hatter' length-match=False\n cipher='wsua' candidate='cheshire' length-match=False\n cipher='wsua' candidate='queen' length-match=False\n cipher='wsua' candidate='tea' length-match=False\n cipher='wsua' candidate='cake' length-match=True\n cipher='wsua' candidate='garden' length-match=False\n cipher='wsua' candidate='mushroom' length-match=False\n cipher='wsua' candidate='card' length-match=True <- assign\n cipher='wsua' candidate='card' length-match=True <- assign\n cipher='wsua' candidate='wonderland' length-match=False\n cipher='wsua' candidate='white' length-match=False\n cipher='wsua' candidate='down' length-match=True\n cipher='wsua' candidate='smile' length-match=False\n cipher='wsua' candidate='smiled' length-match=False\n cipher='wsua' candidate='looking' length-match=False\n cipher='wsua' candidate='glass' length-match=False\n cipher='wsua' candidate='march' length-match=False\n cipher='wsua' candidate='hare' length-match=True\n cipher='wsua' candidate='dormouse' length-match=False\n cipher='usccjd' candidate='alice' length-match=False\n cipher='usccjd' candidate='rabbit' length-match=True <- assign\n cipher='usccjd' candidate='hatter' length-match=True\n cipher='usccjd' candidate='cheshire' length-match=False\n cipher='usccjd' candidate='queen' length-match=False\n cipher='usccjd' candidate='tea' length-match=False\n cipher='usccjd' candidate='cake' length-match=False\n cipher='usccjd' candidate='garden' length-match=True\n cipher='usccjd' candidate='mushroom' length-match=False\n cipher='usccjd' candidate='card' length-match=False\n cipher='usccjd' candidate='card' length-match=False\n cipher='usccjd' candidate='wonderland' length-match=False\n cipher='usccjd' candidate='white' length-match=False\n cipher='usccjd' candidate='down' length-match=False\n cipher='usccjd' candidate='smile' length-match=False\n cipher='usccjd' candidate='smiled' length-match=True\n cipher='usccjd' candidate='looking' length-match=False\n cipher='usccjd' candidate='glass' length-match=False\n cipher='usccjd' candidate='march' length-match=False\n cipher='usccjd' candidate='hare' length-match=False\n cipher='usccjd' candidate='dormouse' length-match=False\n cipher='kyyfjiv' candidate='alice' length-match=False\n cipher='kyyfjiv' candidate='rabbit' length-match=False\n cipher='kyyfjiv' candidate='hatter' length-match=False\n cipher='kyyfjiv' candidate='cheshire' length-match=False\n cipher='kyyfjiv' candidate='queen' length-match=False\n cipher='kyyfjiv' candidate='tea' length-match=False\n cipher='kyyfjiv' candidate='cake' length-match=False\n cipher='kyyfjiv' candidate='garden' length-match=False\n cipher='kyyfjiv' candidate='mushroom' length-match=False\n cipher='kyyfjiv' candidate='card' length-match=False\n cipher='kyyfjiv' candidate='card' length-match=False\n cipher='kyyfjiv' candidate='wonderland' length-match=False\n cipher='kyyfjiv' candidate='white' length-match=False\n cipher='kyyfjiv' candidate='down' length-match=False\n cipher='kyyfjiv' candidate='smile' length-match=False\n cipher='kyyfjiv' candidate='smiled' length-match=False\n cipher='kyyfjiv' candidate='looking' length-match=True <- assign\n cipher='kyyfjiv' candidate='glass' length-match=False\n cipher='kyyfjiv' candidate='march' length-match=False\n cipher='kyyfjiv' candidate='hare' length-match=False\n cipher='kyyfjiv' candidate='dormouse' length-match=False\n cipher='xebbi' candidate='alice' length-match=True\n cipher='xebbi' candidate='rabbit' length-match=False\n cipher='xebbi' candidate='hatter' length-match=False\n cipher='xebbi' candidate='cheshire' length-match=False\n cipher='xebbi' candidate='queen' length-match=True <- assign\n cipher='xebbi' candidate='tea' length-match=False\n cipher='xebbi' candidate='cake' length-match=False\n cipher='xebbi' candidate='garden' length-match=False\n cipher='xebbi' candidate='mushroom' length-match=False\n cipher='xebbi' candidate='card' length-match=False\n cipher='xebbi' candidate='card' length-match=False\n cipher='xebbi' candidate='wonderland' length-match=False\n cipher='xebbi' candidate='white' length-match=True\n cipher='xebbi' candidate='down' length-match=False\n cipher='xebbi' candidate='smile' length-match=True\n cipher='xebbi' candidate='smiled' length-match=False\n cipher='xebbi' candidate='looking' length-match=False\n cipher='xebbi' candidate='glass' length-match=True\n cipher='xebbi' candidate='march' length-match=True\n cipher='xebbi' candidate='hare' length-match=False\n cipher='xebbi' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card rabbit looking queen\nFinal: \\boxed{card rabbit looking queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 5 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 5 * 981.\nStep-by-step multiplication:\n 5 * 10^0 * 981 = 4905\n running total = 4905\nSo F = 4905 centiNewtons = 49.05 N.\nFinal: \\boxed{49.05}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 25,89 -> 2589\n 98,11 -> 9811\n 90,77 -> 9077\nApply to: 90,22\n### Reasoning:\n<|cot_start|>Examples:\n 25,89 -> 2589\n 98,11 -> 9811\n 90,77 -> 9077\nCheck both candidate forms:\n concat(25,89)=2589 rev_concat(25,89)=8925 target=2589 concat\n concat(98,11)=9811 rev_concat(98,11)=1198 target=9811 concat\n concat(90,77)=9077 rev_concat(90,77)=7790 target=9077 concat\nConclude operator: concat.\nApply to (90, 22): answer = 9022\nFinal: \\boxed{9022}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 89,48 -> 4889\n 67,52 -> 5267\n 92,13 -> 1392\nApply to: 81,58\n### Reasoning:\n<|cot_start|>Examples:\n 89,48 -> 4889\n 67,52 -> 5267\n 92,13 -> 1392\nCheck both candidate forms:\n concat(89,48)=8948 rev_concat(89,48)=4889 target=4889 rev_concat\n concat(67,52)=6752 rev_concat(67,52)=5267 target=5267 rev_concat\n concat(92,13)=9213 rev_concat(92,13)=1392 target=1392 rev_concat\nConclude operator: rev_concat.\nApply to (81, 58): answer = 5881\nFinal: \\boxed{5881}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n acgfyq mcxy mcgf cpwmy\n### Reasoning:\n<|cot_start|>Cipher text: acgfyq mcxy mcgf cpwmy\nTry each candidate Wonderland word against each ciphertext word:\n cipher='acgfyq' candidate='alice' length-match=False\n cipher='acgfyq' candidate='rabbit' length-match=True\n cipher='acgfyq' candidate='hatter' length-match=True\n cipher='acgfyq' candidate='cheshire' length-match=False\n cipher='acgfyq' candidate='queen' length-match=False\n cipher='acgfyq' candidate='tea' length-match=False\n cipher='acgfyq' candidate='cake' length-match=False\n cipher='acgfyq' candidate='garden' length-match=True <- assign\n cipher='acgfyq' candidate='mushroom' length-match=False\n cipher='acgfyq' candidate='card' length-match=False\n cipher='acgfyq' candidate='card' length-match=False\n cipher='acgfyq' candidate='wonderland' length-match=False\n cipher='acgfyq' candidate='white' length-match=False\n cipher='acgfyq' candidate='down' length-match=False\n cipher='acgfyq' candidate='smile' length-match=False\n cipher='acgfyq' candidate='smiled' length-match=True\n cipher='acgfyq' candidate='looking' length-match=False\n cipher='acgfyq' candidate='glass' length-match=False\n cipher='acgfyq' candidate='march' length-match=False\n cipher='acgfyq' candidate='hare' length-match=False\n cipher='acgfyq' candidate='dormouse' length-match=False\n cipher='mcxy' candidate='alice' length-match=False\n cipher='mcxy' candidate='rabbit' length-match=False\n cipher='mcxy' candidate='hatter' length-match=False\n cipher='mcxy' candidate='cheshire' length-match=False\n cipher='mcxy' candidate='queen' length-match=False\n cipher='mcxy' candidate='tea' length-match=False\n cipher='mcxy' candidate='cake' length-match=True <- assign\n cipher='mcxy' candidate='garden' length-match=False\n cipher='mcxy' candidate='mushroom' length-match=False\n cipher='mcxy' candidate='card' length-match=True\n cipher='mcxy' candidate='card' length-match=True\n cipher='mcxy' candidate='wonderland' length-match=False\n cipher='mcxy' candidate='white' length-match=False\n cipher='mcxy' candidate='down' length-match=True\n cipher='mcxy' candidate='smile' length-match=False\n cipher='mcxy' candidate='smiled' length-match=False\n cipher='mcxy' candidate='looking' length-match=False\n cipher='mcxy' candidate='glass' length-match=False\n cipher='mcxy' candidate='march' length-match=False\n cipher='mcxy' candidate='hare' length-match=True\n cipher='mcxy' candidate='dormouse' length-match=False\n cipher='mcgf' candidate='alice' length-match=False\n cipher='mcgf' candidate='rabbit' length-match=False\n cipher='mcgf' candidate='hatter' length-match=False\n cipher='mcgf' candidate='cheshire' length-match=False\n cipher='mcgf' candidate='queen' length-match=False\n cipher='mcgf' candidate='tea' length-match=False\n cipher='mcgf' candidate='cake' length-match=True\n cipher='mcgf' candidate='garden' length-match=False\n cipher='mcgf' candidate='mushroom' length-match=False\n cipher='mcgf' candidate='card' length-match=True <- assign\n cipher='mcgf' candidate='card' length-match=True <- assign\n cipher='mcgf' candidate='wonderland' length-match=False\n cipher='mcgf' candidate='white' length-match=False\n cipher='mcgf' candidate='down' length-match=True\n cipher='mcgf' candidate='smile' length-match=False\n cipher='mcgf' candidate='smiled' length-match=False\n cipher='mcgf' candidate='looking' length-match=False\n cipher='mcgf' candidate='glass' length-match=False\n cipher='mcgf' candidate='march' length-match=False\n cipher='mcgf' candidate='hare' length-match=True\n cipher='mcgf' candidate='dormouse' length-match=False\n cipher='cpwmy' candidate='alice' length-match=True <- assign\n cipher='cpwmy' candidate='rabbit' length-match=False\n cipher='cpwmy' candidate='hatter' length-match=False\n cipher='cpwmy' candidate='cheshire' length-match=False\n cipher='cpwmy' candidate='queen' length-match=True\n cipher='cpwmy' candidate='tea' length-match=False\n cipher='cpwmy' candidate='cake' length-match=False\n cipher='cpwmy' candidate='garden' length-match=False\n cipher='cpwmy' candidate='mushroom' length-match=False\n cipher='cpwmy' candidate='card' length-match=False\n cipher='cpwmy' candidate='card' length-match=False\n cipher='cpwmy' candidate='wonderland' length-match=False\n cipher='cpwmy' candidate='white' length-match=True\n cipher='cpwmy' candidate='down' length-match=False\n cipher='cpwmy' candidate='smile' length-match=True\n cipher='cpwmy' candidate='smiled' length-match=False\n cipher='cpwmy' candidate='looking' length-match=False\n cipher='cpwmy' candidate='glass' length-match=True\n cipher='cpwmy' candidate='march' length-match=True\n cipher='cpwmy' candidate='hare' length-match=False\n cipher='cpwmy' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n garden cake card alice\nFinal: \\boxed{garden cake card alice}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 66 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 66 minutes = 66 * 60 seconds.\nCompute step by step:\n 6 * 10^1 * 60 = 3600\n running total = 3600\n 6 * 10^0 * 60 = 360\n running total = 3960\nFinal: \\boxed{3960}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n I = 1 -> 40 + 1 = 41\n I = 1 -> 41 + 1 = 42\n I = 1 -> 42 + 1 = 43\nFinal: \\boxed{43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n lndupshcdu ecqp lmbap mcsp\n### Reasoning:\n<|cot_start|>Cipher text: lndupshcdu ecqp lmbap mcsp\nTry each candidate Wonderland word against each ciphertext word:\n cipher='lndupshcdu' candidate='alice' length-match=False\n cipher='lndupshcdu' candidate='rabbit' length-match=False\n cipher='lndupshcdu' candidate='hatter' length-match=False\n cipher='lndupshcdu' candidate='cheshire' length-match=False\n cipher='lndupshcdu' candidate='queen' length-match=False\n cipher='lndupshcdu' candidate='tea' length-match=False\n cipher='lndupshcdu' candidate='cake' length-match=False\n cipher='lndupshcdu' candidate='garden' length-match=False\n cipher='lndupshcdu' candidate='mushroom' length-match=False\n cipher='lndupshcdu' candidate='card' length-match=False\n cipher='lndupshcdu' candidate='card' length-match=False\n cipher='lndupshcdu' candidate='wonderland' length-match=True <- assign\n cipher='lndupshcdu' candidate='white' length-match=False\n cipher='lndupshcdu' candidate='down' length-match=False\n cipher='lndupshcdu' candidate='smile' length-match=False\n cipher='lndupshcdu' candidate='smiled' length-match=False\n cipher='lndupshcdu' candidate='looking' length-match=False\n cipher='lndupshcdu' candidate='glass' length-match=False\n cipher='lndupshcdu' candidate='march' length-match=False\n cipher='lndupshcdu' candidate='hare' length-match=False\n cipher='lndupshcdu' candidate='dormouse' length-match=False\n cipher='ecqp' candidate='alice' length-match=False\n cipher='ecqp' candidate='rabbit' length-match=False\n cipher='ecqp' candidate='hatter' length-match=False\n cipher='ecqp' candidate='cheshire' length-match=False\n cipher='ecqp' candidate='queen' length-match=False\n cipher='ecqp' candidate='tea' length-match=False\n cipher='ecqp' candidate='cake' length-match=True <- assign\n cipher='ecqp' candidate='garden' length-match=False\n cipher='ecqp' candidate='mushroom' length-match=False\n cipher='ecqp' candidate='card' length-match=True\n cipher='ecqp' candidate='card' length-match=True\n cipher='ecqp' candidate='wonderland' length-match=False\n cipher='ecqp' candidate='white' length-match=False\n cipher='ecqp' candidate='down' length-match=True\n cipher='ecqp' candidate='smile' length-match=False\n cipher='ecqp' candidate='smiled' length-match=False\n cipher='ecqp' candidate='looking' length-match=False\n cipher='ecqp' candidate='glass' length-match=False\n cipher='ecqp' candidate='march' length-match=False\n cipher='ecqp' candidate='hare' length-match=True\n cipher='ecqp' candidate='dormouse' length-match=False\n cipher='lmbap' candidate='alice' length-match=True\n cipher='lmbap' candidate='rabbit' length-match=False\n cipher='lmbap' candidate='hatter' length-match=False\n cipher='lmbap' candidate='cheshire' length-match=False\n cipher='lmbap' candidate='queen' length-match=True\n cipher='lmbap' candidate='tea' length-match=False\n cipher='lmbap' candidate='cake' length-match=False\n cipher='lmbap' candidate='garden' length-match=False\n cipher='lmbap' candidate='mushroom' length-match=False\n cipher='lmbap' candidate='card' length-match=False\n cipher='lmbap' candidate='card' length-match=False\n cipher='lmbap' candidate='wonderland' length-match=False\n cipher='lmbap' candidate='white' length-match=True <- assign\n cipher='lmbap' candidate='down' length-match=False\n cipher='lmbap' candidate='smile' length-match=True\n cipher='lmbap' candidate='smiled' length-match=False\n cipher='lmbap' candidate='looking' length-match=False\n cipher='lmbap' candidate='glass' length-match=True\n cipher='lmbap' candidate='march' length-match=True\n cipher='lmbap' candidate='hare' length-match=False\n cipher='lmbap' candidate='dormouse' length-match=False\n cipher='mcsp' candidate='alice' length-match=False\n cipher='mcsp' candidate='rabbit' length-match=False\n cipher='mcsp' candidate='hatter' length-match=False\n cipher='mcsp' candidate='cheshire' length-match=False\n cipher='mcsp' candidate='queen' length-match=False\n cipher='mcsp' candidate='tea' length-match=False\n cipher='mcsp' candidate='cake' length-match=True\n cipher='mcsp' candidate='garden' length-match=False\n cipher='mcsp' candidate='mushroom' length-match=False\n cipher='mcsp' candidate='card' length-match=True\n cipher='mcsp' candidate='card' length-match=True\n cipher='mcsp' candidate='wonderland' length-match=False\n cipher='mcsp' candidate='white' length-match=False\n cipher='mcsp' candidate='down' length-match=True\n cipher='mcsp' candidate='smile' length-match=False\n cipher='mcsp' candidate='smiled' length-match=False\n cipher='mcsp' candidate='looking' length-match=False\n cipher='mcsp' candidate='glass' length-match=False\n cipher='mcsp' candidate='march' length-match=False\n cipher='mcsp' candidate='hare' length-match=True <- assign\n cipher='mcsp' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n wonderland cake white hare\nFinal: \\boxed{wonderland cake white hare}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 75,90 -> 7590\n 16,35 -> 1635\n 53,68 -> 5368\nApply to: 33,82\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 75,90: '+' gives 165; target=7590 no\n 75,90: '-' gives 15; target=7590 no\n 75,90: '*' gives 6750; target=7590 no\n 75,90: 'concat' gives 7590; target=7590 MATCH\n 75,90: 'rev_concat' gives 9075; target=7590 no\n 75,90: 'max*min+sum' gives 6915; target=7590 no\n 75,90: 'digitsum2' gives 441; target=7590 no\n 16,35: '+' gives 51; target=1635 no\n 16,35: '-' gives 19; target=1635 no\n 16,35: '*' gives 560; target=1635 no\n 16,35: 'concat' gives 1635; target=1635 MATCH\n 16,35: 'rev_concat' gives 3516; target=1635 no\n 16,35: 'max*min+sum' gives 611; target=1635 no\n 16,35: 'digitsum2' gives 225; target=1635 no\n 53,68: '+' gives 121; target=5368 no\n 53,68: '-' gives 15; target=5368 no\n 53,68: '*' gives 3604; target=5368 no\n 53,68: 'concat' gives 5368; target=5368 MATCH\n 53,68: 'rev_concat' gives 6853; target=5368 no\n 53,68: 'max*min+sum' gives 3725; target=5368 no\n 53,68: 'digitsum2' gives 484; target=5368 no\nThe only operator consistent with all examples is 'concat'.\nApply to (33, 82):\n result = 3382\nFinal: \\boxed{3382}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 30,50 -> 3050\n 37,63 -> 3763\n 69,41 -> 6941\nApply to: 45,76\n### Reasoning:\n<|cot_start|>Examples:\n 30,50 -> 3050\n 37,63 -> 3763\n 69,41 -> 6941\nCheck both candidate forms:\n concat(30,50)=3050 rev_concat(30,50)=5030 target=3050 concat\n concat(37,63)=3763 rev_concat(37,63)=6337 target=3763 concat\n concat(69,41)=6941 rev_concat(69,41)=4169 target=6941 concat\nConclude operator: concat.\nApply to (45, 76): answer = 4576\nFinal: \\boxed{4576}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 13 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 13 minutes = 13 * 60 seconds.\nCompute step by step:\n 1 * 10^1 * 60 = 600\n running total = 600\n 3 * 10^0 * 60 = 180\n running total = 780\nFinal: \\boxed{780}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11010011 -> 00000011\n 11001000 -> 00001000\n 01010010 -> 00000010\nApply to: 01001110\n### Reasoning:\n<|cot_start|>Given examples:\n 11010011 -> 00000011\n 11001000 -> 00001000\n 01010010 -> 00000010\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 0,0,0\n bit 1: 1,1,1 -> 0,0,0\n bit 2: 0,0,0 -> 0,0,0\n bit 3: 1,0,1 -> 0,0,0\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 0,0,0 -> 0,0,0\n bit 6: 1,0,1 -> 1,0,1\n bit 7: 1,0,0 -> 1,0,0\nDeduce rule: and 0x0F.\nApply to 01001110:\n result = 00001110\nFinal: \\boxed{00001110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 13,15 -> 28\n 60,61 -> 121\n 46,31 -> 77\nApply to: 58,13\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 13,15: '+' gives 28; target=28 MATCH\n 13,15: '-' gives 2; target=28 no\n 13,15: '*' gives 195; target=28 no\n 13,15: 'concat' gives 1315; target=28 no\n 13,15: 'rev_concat' gives 1513; target=28 no\n 13,15: 'max*min+sum' gives 223; target=28 no\n 13,15: 'digitsum2' gives 100; target=28 no\n 60,61: '+' gives 121; target=121 MATCH\n 60,61: '-' gives 1; target=121 no\n 60,61: '*' gives 3660; target=121 no\n 60,61: 'concat' gives 6061; target=121 no\n 60,61: 'rev_concat' gives 6160; target=121 no\n 60,61: 'max*min+sum' gives 3781; target=121 no\n 60,61: 'digitsum2' gives 169; target=121 no\n 46,31: '+' gives 77; target=77 MATCH\n 46,31: '-' gives 15; target=77 no\n 46,31: '*' gives 1426; target=77 no\n 46,31: 'concat' gives 4631; target=77 no\n 46,31: 'rev_concat' gives 3146; target=77 no\n 46,31: 'max*min+sum' gives 1503; target=77 no\n 46,31: 'digitsum2' gives 196; target=77 no\nThe only operator consistent with all examples is '+'.\nApply to (58, 13):\n result = 71\nFinal: \\boxed{71}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11011101 -> 00001101\n 00101001 -> 00001001\n 00111010 -> 00001010\nApply to: 11110010\n### Reasoning:\n<|cot_start|>Given examples:\n 11011101 -> 00001101\n 00101001 -> 00001001\n 00111010 -> 00001010\nCompare each bit position across the three examples:\n bit 0: 1,0,0 -> 0,0,0\n bit 1: 1,0,0 -> 0,0,0\n bit 2: 0,1,1 -> 0,0,0\n bit 3: 1,0,1 -> 0,0,0\n bit 4: 1,1,1 -> 1,1,1\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 0,0,1 -> 0,0,1\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: and 0x0F.\nApply to 11110010:\n result = 00000010\nFinal: \\boxed{00000010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 31,55 -> 5531\n 42,69 -> 6942\n 43,67 -> 6743\nApply to: 33,60\n### Reasoning:\n<|cot_start|>Examples:\n 31,55 -> 5531\n 42,69 -> 6942\n 43,67 -> 6743\nCheck both candidate forms:\n concat(31,55)=3155 rev_concat(31,55)=5531 target=5531 rev_concat\n concat(42,69)=4269 rev_concat(42,69)=6942 target=6942 rev_concat\n concat(43,67)=4367 rev_concat(43,67)=6743 target=6743 rev_concat\nConclude operator: rev_concat.\nApply to (33, 60): answer = 6033\nFinal: \\boxed{6033}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 49,26 -> 4926\n 30,54 -> 3054\n 36,83 -> 3683\nApply to: 85,30\n### Reasoning:\n<|cot_start|>Examples:\n 49,26 -> 4926\n 30,54 -> 3054\n 36,83 -> 3683\nCheck both candidate forms:\n concat(49,26)=4926 rev_concat(49,26)=2649 target=4926 concat\n concat(30,54)=3054 rev_concat(30,54)=5430 target=3054 concat\n concat(36,83)=3683 rev_concat(36,83)=8336 target=3683 concat\nConclude operator: concat.\nApply to (85, 30): answer = 8530\nFinal: \\boxed{8530}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 37,30 -> 3730\n 67,11 -> 6711\n 30,10 -> 3010\nApply to: 31,83\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 37,30: '+' gives 67; target=3730 no\n 37,30: '-' gives 7; target=3730 no\n 37,30: '*' gives 1110; target=3730 no\n 37,30: 'concat' gives 3730; target=3730 MATCH\n 37,30: 'rev_concat' gives 3037; target=3730 no\n 37,30: 'max*min+sum' gives 1177; target=3730 no\n 37,30: 'digitsum2' gives 169; target=3730 no\n 67,11: '+' gives 78; target=6711 no\n 67,11: '-' gives 56; target=6711 no\n 67,11: '*' gives 737; target=6711 no\n 67,11: 'concat' gives 6711; target=6711 MATCH\n 67,11: 'rev_concat' gives 1167; target=6711 no\n 67,11: 'max*min+sum' gives 815; target=6711 no\n 67,11: 'digitsum2' gives 225; target=6711 no\n 30,10: '+' gives 40; target=3010 no\n 30,10: '-' gives 20; target=3010 no\n 30,10: '*' gives 300; target=3010 no\n 30,10: 'concat' gives 3010; target=3010 MATCH\n 30,10: 'rev_concat' gives 1030; target=3010 no\n 30,10: 'max*min+sum' gives 340; target=3010 no\n 30,10: 'digitsum2' gives 16; target=3010 no\nThe only operator consistent with all examples is 'concat'.\nApply to (31, 83):\n result = 3183\nFinal: \\boxed{3183}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n myldg myldgj hwvvgi ynmhiffy\n### Reasoning:\n<|cot_start|>Cipher text: myldg myldgj hwvvgi ynmhiffy\nTry each candidate Wonderland word against each ciphertext word:\n cipher='myldg' candidate='alice' length-match=True\n cipher='myldg' candidate='rabbit' length-match=False\n cipher='myldg' candidate='hatter' length-match=False\n cipher='myldg' candidate='cheshire' length-match=False\n cipher='myldg' candidate='queen' length-match=True\n cipher='myldg' candidate='tea' length-match=False\n cipher='myldg' candidate='cake' length-match=False\n cipher='myldg' candidate='garden' length-match=False\n cipher='myldg' candidate='mushroom' length-match=False\n cipher='myldg' candidate='card' length-match=False\n cipher='myldg' candidate='card' length-match=False\n cipher='myldg' candidate='wonderland' length-match=False\n cipher='myldg' candidate='white' length-match=True\n cipher='myldg' candidate='down' length-match=False\n cipher='myldg' candidate='smile' length-match=True <- assign\n cipher='myldg' candidate='smiled' length-match=False\n cipher='myldg' candidate='looking' length-match=False\n cipher='myldg' candidate='glass' length-match=True\n cipher='myldg' candidate='march' length-match=True\n cipher='myldg' candidate='hare' length-match=False\n cipher='myldg' candidate='dormouse' length-match=False\n cipher='myldgj' candidate='alice' length-match=False\n cipher='myldgj' candidate='rabbit' length-match=True\n cipher='myldgj' candidate='hatter' length-match=True\n cipher='myldgj' candidate='cheshire' length-match=False\n cipher='myldgj' candidate='queen' length-match=False\n cipher='myldgj' candidate='tea' length-match=False\n cipher='myldgj' candidate='cake' length-match=False\n cipher='myldgj' candidate='garden' length-match=True\n cipher='myldgj' candidate='mushroom' length-match=False\n cipher='myldgj' candidate='card' length-match=False\n cipher='myldgj' candidate='card' length-match=False\n cipher='myldgj' candidate='wonderland' length-match=False\n cipher='myldgj' candidate='white' length-match=False\n cipher='myldgj' candidate='down' length-match=False\n cipher='myldgj' candidate='smile' length-match=False\n cipher='myldgj' candidate='smiled' length-match=True <- assign\n cipher='myldgj' candidate='looking' length-match=False\n cipher='myldgj' candidate='glass' length-match=False\n cipher='myldgj' candidate='march' length-match=False\n cipher='myldgj' candidate='hare' length-match=False\n cipher='myldgj' candidate='dormouse' length-match=False\n cipher='hwvvgi' candidate='alice' length-match=False\n cipher='hwvvgi' candidate='rabbit' length-match=True\n cipher='hwvvgi' candidate='hatter' length-match=True <- assign\n cipher='hwvvgi' candidate='cheshire' length-match=False\n cipher='hwvvgi' candidate='queen' length-match=False\n cipher='hwvvgi' candidate='tea' length-match=False\n cipher='hwvvgi' candidate='cake' length-match=False\n cipher='hwvvgi' candidate='garden' length-match=True\n cipher='hwvvgi' candidate='mushroom' length-match=False\n cipher='hwvvgi' candidate='card' length-match=False\n cipher='hwvvgi' candidate='card' length-match=False\n cipher='hwvvgi' candidate='wonderland' length-match=False\n cipher='hwvvgi' candidate='white' length-match=False\n cipher='hwvvgi' candidate='down' length-match=False\n cipher='hwvvgi' candidate='smile' length-match=False\n cipher='hwvvgi' candidate='smiled' length-match=True\n cipher='hwvvgi' candidate='looking' length-match=False\n cipher='hwvvgi' candidate='glass' length-match=False\n cipher='hwvvgi' candidate='march' length-match=False\n cipher='hwvvgi' candidate='hare' length-match=False\n cipher='hwvvgi' candidate='dormouse' length-match=False\n cipher='ynmhiffy' candidate='alice' length-match=False\n cipher='ynmhiffy' candidate='rabbit' length-match=False\n cipher='ynmhiffy' candidate='hatter' length-match=False\n cipher='ynmhiffy' candidate='cheshire' length-match=True\n cipher='ynmhiffy' candidate='queen' length-match=False\n cipher='ynmhiffy' candidate='tea' length-match=False\n cipher='ynmhiffy' candidate='cake' length-match=False\n cipher='ynmhiffy' candidate='garden' length-match=False\n cipher='ynmhiffy' candidate='mushroom' length-match=True <- assign\n cipher='ynmhiffy' candidate='card' length-match=False\n cipher='ynmhiffy' candidate='card' length-match=False\n cipher='ynmhiffy' candidate='wonderland' length-match=False\n cipher='ynmhiffy' candidate='white' length-match=False\n cipher='ynmhiffy' candidate='down' length-match=False\n cipher='ynmhiffy' candidate='smile' length-match=False\n cipher='ynmhiffy' candidate='smiled' length-match=False\n cipher='ynmhiffy' candidate='looking' length-match=False\n cipher='ynmhiffy' candidate='glass' length-match=False\n cipher='ynmhiffy' candidate='march' length-match=False\n cipher='ynmhiffy' candidate='hare' length-match=False\n cipher='ynmhiffy' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n smile smiled hatter mushroom\nFinal: \\boxed{smile smiled hatter mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 76 hours to minutes.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 hours = 60 minutes.\nSo 76 hours = 76 * 60 minutes.\nCompute step by step:\n 7 * 10^1 * 60 = 4200\n running total = 4200\n 6 * 10^0 * 60 = 360\n running total = 4560\nFinal: \\boxed{4560}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 89,31 -> 2879\n 61,13 -> 867\n 95,19 -> 1919\nApply to: 33,59\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 89,31: '+' gives 120; target=2879 no\n 89,31: '-' gives 58; target=2879 no\n 89,31: '*' gives 2759; target=2879 no\n 89,31: 'concat' gives 8931; target=2879 no\n 89,31: 'rev_concat' gives 3189; target=2879 no\n 89,31: 'max*min+sum' gives 2879; target=2879 MATCH\n 89,31: 'digitsum2' gives 441; target=2879 no\n 61,13: '+' gives 74; target=867 no\n 61,13: '-' gives 48; target=867 no\n 61,13: '*' gives 793; target=867 no\n 61,13: 'concat' gives 6113; target=867 no\n 61,13: 'rev_concat' gives 1361; target=867 no\n 61,13: 'max*min+sum' gives 867; target=867 MATCH\n 61,13: 'digitsum2' gives 121; target=867 no\n 95,19: '+' gives 114; target=1919 no\n 95,19: '-' gives 76; target=1919 no\n 95,19: '*' gives 1805; target=1919 no\n 95,19: 'concat' gives 9519; target=1919 no\n 95,19: 'rev_concat' gives 1995; target=1919 no\n 95,19: 'max*min+sum' gives 1919; target=1919 MATCH\n 95,19: 'digitsum2' gives 576; target=1919 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (33, 59):\n result = 2039\nFinal: \\boxed{2039}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 47 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 47 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 7 * 10^0 * 981 = 6867\n running total = 46107\nSo F = 46107 centiNewtons = 461.07 N.\nFinal: \\boxed{461.07}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 3 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 3 * 981.\nStep-by-step multiplication:\n 3 * 10^0 * 981 = 2943\n running total = 2943\nSo F = 2943 centiNewtons = 29.43 N.\nFinal: \\boxed{29.43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 63,76 -> 4927\n 35,75 -> 2735\n 55,86 -> 4871\nApply to: 41,96\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 63,76: '+' gives 139; target=4927 no\n 63,76: '-' gives 13; target=4927 no\n 63,76: '*' gives 4788; target=4927 no\n 63,76: 'concat' gives 6376; target=4927 no\n 63,76: 'rev_concat' gives 7663; target=4927 no\n 63,76: 'max*min+sum' gives 4927; target=4927 MATCH\n 63,76: 'digitsum2' gives 484; target=4927 no\n 35,75: '+' gives 110; target=2735 no\n 35,75: '-' gives 40; target=2735 no\n 35,75: '*' gives 2625; target=2735 no\n 35,75: 'concat' gives 3575; target=2735 no\n 35,75: 'rev_concat' gives 7535; target=2735 no\n 35,75: 'max*min+sum' gives 2735; target=2735 MATCH\n 35,75: 'digitsum2' gives 400; target=2735 no\n 55,86: '+' gives 141; target=4871 no\n 55,86: '-' gives 31; target=4871 no\n 55,86: '*' gives 4730; target=4871 no\n 55,86: 'concat' gives 5586; target=4871 no\n 55,86: 'rev_concat' gives 8655; target=4871 no\n 55,86: 'max*min+sum' gives 4871; target=4871 MATCH\n 55,86: 'digitsum2' gives 576; target=4871 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (41, 96):\n result = 4073\nFinal: \\boxed{4073}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 83 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 83 litres = 83 * 1000 millilitres.\nCompute step by step:\n 8 * 10^1 * 1000 = 80000\n running total = 80000\n 3 * 10^0 * 1000 = 3000\n running total = 83000\nFinal: \\boxed{83000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 34 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 34 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 4 * 10^0 * 981 = 3924\n running total = 33354\nSo F = 33354 centiNewtons = 333.54 N.\nFinal: \\boxed{333.54}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 32,56 -> 1880\n 59,93 -> 5639\n 77,89 -> 7019\nApply to: 96,57\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 32,56: '+' gives 88; target=1880 no\n 32,56: '-' gives 24; target=1880 no\n 32,56: '*' gives 1792; target=1880 no\n 32,56: 'concat' gives 3256; target=1880 no\n 32,56: 'rev_concat' gives 5632; target=1880 no\n 32,56: 'max*min+sum' gives 1880; target=1880 MATCH\n 32,56: 'digitsum2' gives 256; target=1880 no\n 59,93: '+' gives 152; target=5639 no\n 59,93: '-' gives 34; target=5639 no\n 59,93: '*' gives 5487; target=5639 no\n 59,93: 'concat' gives 5993; target=5639 no\n 59,93: 'rev_concat' gives 9359; target=5639 no\n 59,93: 'max*min+sum' gives 5639; target=5639 MATCH\n 59,93: 'digitsum2' gives 676; target=5639 no\n 77,89: '+' gives 166; target=7019 no\n 77,89: '-' gives 12; target=7019 no\n 77,89: '*' gives 6853; target=7019 no\n 77,89: 'concat' gives 7789; target=7019 no\n 77,89: 'rev_concat' gives 8977; target=7019 no\n 77,89: 'max*min+sum' gives 7019; target=7019 MATCH\n 77,89: 'digitsum2' gives 961; target=7019 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (96, 57):\n result = 5625\nFinal: \\boxed{5625}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 38,86 -> 8638\n 82,66 -> 6682\n 87,46 -> 4687\nApply to: 22,27\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 38,86: '+' gives 124; target=8638 no\n 38,86: '-' gives 48; target=8638 no\n 38,86: '*' gives 3268; target=8638 no\n 38,86: 'concat' gives 3886; target=8638 no\n 38,86: 'rev_concat' gives 8638; target=8638 MATCH\n 38,86: 'max*min+sum' gives 3392; target=8638 no\n 38,86: 'digitsum2' gives 625; target=8638 no\n 82,66: '+' gives 148; target=6682 no\n 82,66: '-' gives 16; target=6682 no\n 82,66: '*' gives 5412; target=6682 no\n 82,66: 'concat' gives 8266; target=6682 no\n 82,66: 'rev_concat' gives 6682; target=6682 MATCH\n 82,66: 'max*min+sum' gives 5560; target=6682 no\n 82,66: 'digitsum2' gives 484; target=6682 no\n 87,46: '+' gives 133; target=4687 no\n 87,46: '-' gives 41; target=4687 no\n 87,46: '*' gives 4002; target=4687 no\n 87,46: 'concat' gives 8746; target=4687 no\n 87,46: 'rev_concat' gives 4687; target=4687 MATCH\n 87,46: 'max*min+sum' gives 4135; target=4687 no\n 87,46: 'digitsum2' gives 625; target=4687 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (22, 27):\n result = 2722\nFinal: \\boxed{2722}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00001111 -> 11110000\n 11111100 -> 00000011\n 11000111 -> 00111000\nApply to: 10110011\n### Reasoning:\n<|cot_start|>Given examples:\n 00001111 -> 11110000\n 11111100 -> 00000011\n 11000111 -> 00111000\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 1,0,0\n bit 1: 0,1,1 -> 1,0,0\n bit 2: 0,1,0 -> 1,0,1\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 1,1,0 -> 0,0,1\n bit 5: 1,1,1 -> 0,0,0\n bit 6: 1,0,1 -> 0,1,0\n bit 7: 1,0,1 -> 0,1,0\nDeduce rule: invert (NOT).\nApply to 10110011:\n result = 01001100\nFinal: \\boxed{01001100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01010001 -> 00000100\n 00000001 -> 01010100\n 10011010 -> 11001111\nApply to: 01011110\n### Reasoning:\n<|cot_start|>Given examples:\n 01010001 -> 00000100\n 00000001 -> 01010100\n 10011010 -> 11001111\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 0,0,1\n bit 1: 1,0,0 -> 0,1,1\n bit 2: 0,0,0 -> 0,0,0\n bit 3: 1,0,1 -> 0,1,0\n bit 4: 0,0,1 -> 0,0,1\n bit 5: 0,0,0 -> 1,1,1\n bit 6: 0,0,1 -> 0,0,1\n bit 7: 1,1,0 -> 0,0,1\nDeduce rule: xor 0x55.\nApply to 01011110:\n result = 00001011\nFinal: \\boxed{00001011}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n cdlxfs wtffs idlyn ydlx\n### Reasoning:\n<|cot_start|>Cipher text: cdlxfs wtffs idlyn ydlx\nTry each candidate Wonderland word against each ciphertext word:\n cipher='cdlxfs' candidate='alice' length-match=False\n cipher='cdlxfs' candidate='rabbit' length-match=True\n cipher='cdlxfs' candidate='hatter' length-match=True\n cipher='cdlxfs' candidate='cheshire' length-match=False\n cipher='cdlxfs' candidate='queen' length-match=False\n cipher='cdlxfs' candidate='tea' length-match=False\n cipher='cdlxfs' candidate='cake' length-match=False\n cipher='cdlxfs' candidate='garden' length-match=True <- assign\n cipher='cdlxfs' candidate='mushroom' length-match=False\n cipher='cdlxfs' candidate='card' length-match=False\n cipher='cdlxfs' candidate='card' length-match=False\n cipher='cdlxfs' candidate='wonderland' length-match=False\n cipher='cdlxfs' candidate='white' length-match=False\n cipher='cdlxfs' candidate='down' length-match=False\n cipher='cdlxfs' candidate='smile' length-match=False\n cipher='cdlxfs' candidate='smiled' length-match=True\n cipher='cdlxfs' candidate='looking' length-match=False\n cipher='cdlxfs' candidate='glass' length-match=False\n cipher='cdlxfs' candidate='march' length-match=False\n cipher='cdlxfs' candidate='hare' length-match=False\n cipher='cdlxfs' candidate='dormouse' length-match=False\n cipher='wtffs' candidate='alice' length-match=True\n cipher='wtffs' candidate='rabbit' length-match=False\n cipher='wtffs' candidate='hatter' length-match=False\n cipher='wtffs' candidate='cheshire' length-match=False\n cipher='wtffs' candidate='queen' length-match=True <- assign\n cipher='wtffs' candidate='tea' length-match=False\n cipher='wtffs' candidate='cake' length-match=False\n cipher='wtffs' candidate='garden' length-match=False\n cipher='wtffs' candidate='mushroom' length-match=False\n cipher='wtffs' candidate='card' length-match=False\n cipher='wtffs' candidate='card' length-match=False\n cipher='wtffs' candidate='wonderland' length-match=False\n cipher='wtffs' candidate='white' length-match=True\n cipher='wtffs' candidate='down' length-match=False\n cipher='wtffs' candidate='smile' length-match=True\n cipher='wtffs' candidate='smiled' length-match=False\n cipher='wtffs' candidate='looking' length-match=False\n cipher='wtffs' candidate='glass' length-match=True\n cipher='wtffs' candidate='march' length-match=True\n cipher='wtffs' candidate='hare' length-match=False\n cipher='wtffs' candidate='dormouse' length-match=False\n cipher='idlyn' candidate='alice' length-match=True\n cipher='idlyn' candidate='rabbit' length-match=False\n cipher='idlyn' candidate='hatter' length-match=False\n cipher='idlyn' candidate='cheshire' length-match=False\n cipher='idlyn' candidate='queen' length-match=True\n cipher='idlyn' candidate='tea' length-match=False\n cipher='idlyn' candidate='cake' length-match=False\n cipher='idlyn' candidate='garden' length-match=False\n cipher='idlyn' candidate='mushroom' length-match=False\n cipher='idlyn' candidate='card' length-match=False\n cipher='idlyn' candidate='card' length-match=False\n cipher='idlyn' candidate='wonderland' length-match=False\n cipher='idlyn' candidate='white' length-match=True\n cipher='idlyn' candidate='down' length-match=False\n cipher='idlyn' candidate='smile' length-match=True\n cipher='idlyn' candidate='smiled' length-match=False\n cipher='idlyn' candidate='looking' length-match=False\n cipher='idlyn' candidate='glass' length-match=True\n cipher='idlyn' candidate='march' length-match=True <- assign\n cipher='idlyn' candidate='hare' length-match=False\n cipher='idlyn' candidate='dormouse' length-match=False\n cipher='ydlx' candidate='alice' length-match=False\n cipher='ydlx' candidate='rabbit' length-match=False\n cipher='ydlx' candidate='hatter' length-match=False\n cipher='ydlx' candidate='cheshire' length-match=False\n cipher='ydlx' candidate='queen' length-match=False\n cipher='ydlx' candidate='tea' length-match=False\n cipher='ydlx' candidate='cake' length-match=True\n cipher='ydlx' candidate='garden' length-match=False\n cipher='ydlx' candidate='mushroom' length-match=False\n cipher='ydlx' candidate='card' length-match=True <- assign\n cipher='ydlx' candidate='card' length-match=True <- assign\n cipher='ydlx' candidate='wonderland' length-match=False\n cipher='ydlx' candidate='white' length-match=False\n cipher='ydlx' candidate='down' length-match=True\n cipher='ydlx' candidate='smile' length-match=False\n cipher='ydlx' candidate='smiled' length-match=False\n cipher='ydlx' candidate='looking' length-match=False\n cipher='ydlx' candidate='glass' length-match=False\n cipher='ydlx' candidate='march' length-match=False\n cipher='ydlx' candidate='hare' length-match=True\n cipher='ydlx' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n garden queen march card\nFinal: \\boxed{garden queen march card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dgrezxxd syzf fxco cewji\n### Reasoning:\n<|cot_start|>Cipher text: dgrezxxd syzf fxco cewji\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dgrezxxd' candidate='alice' length-match=False\n cipher='dgrezxxd' candidate='rabbit' length-match=False\n cipher='dgrezxxd' candidate='hatter' length-match=False\n cipher='dgrezxxd' candidate='cheshire' length-match=True\n cipher='dgrezxxd' candidate='queen' length-match=False\n cipher='dgrezxxd' candidate='tea' length-match=False\n cipher='dgrezxxd' candidate='cake' length-match=False\n cipher='dgrezxxd' candidate='garden' length-match=False\n cipher='dgrezxxd' candidate='mushroom' length-match=True <- assign\n cipher='dgrezxxd' candidate='card' length-match=False\n cipher='dgrezxxd' candidate='card' length-match=False\n cipher='dgrezxxd' candidate='wonderland' length-match=False\n cipher='dgrezxxd' candidate='white' length-match=False\n cipher='dgrezxxd' candidate='down' length-match=False\n cipher='dgrezxxd' candidate='smile' length-match=False\n cipher='dgrezxxd' candidate='smiled' length-match=False\n cipher='dgrezxxd' candidate='looking' length-match=False\n cipher='dgrezxxd' candidate='glass' length-match=False\n cipher='dgrezxxd' candidate='march' length-match=False\n cipher='dgrezxxd' candidate='hare' length-match=False\n cipher='dgrezxxd' candidate='dormouse' length-match=True\n cipher='syzf' candidate='alice' length-match=False\n cipher='syzf' candidate='rabbit' length-match=False\n cipher='syzf' candidate='hatter' length-match=False\n cipher='syzf' candidate='cheshire' length-match=False\n cipher='syzf' candidate='queen' length-match=False\n cipher='syzf' candidate='tea' length-match=False\n cipher='syzf' candidate='cake' length-match=True\n cipher='syzf' candidate='garden' length-match=False\n cipher='syzf' candidate='mushroom' length-match=False\n cipher='syzf' candidate='card' length-match=True <- assign\n cipher='syzf' candidate='card' length-match=True <- assign\n cipher='syzf' candidate='wonderland' length-match=False\n cipher='syzf' candidate='white' length-match=False\n cipher='syzf' candidate='down' length-match=True\n cipher='syzf' candidate='smile' length-match=False\n cipher='syzf' candidate='smiled' length-match=False\n cipher='syzf' candidate='looking' length-match=False\n cipher='syzf' candidate='glass' length-match=False\n cipher='syzf' candidate='march' length-match=False\n cipher='syzf' candidate='hare' length-match=True\n cipher='syzf' candidate='dormouse' length-match=False\n cipher='fxco' candidate='alice' length-match=False\n cipher='fxco' candidate='rabbit' length-match=False\n cipher='fxco' candidate='hatter' length-match=False\n cipher='fxco' candidate='cheshire' length-match=False\n cipher='fxco' candidate='queen' length-match=False\n cipher='fxco' candidate='tea' length-match=False\n cipher='fxco' candidate='cake' length-match=True\n cipher='fxco' candidate='garden' length-match=False\n cipher='fxco' candidate='mushroom' length-match=False\n cipher='fxco' candidate='card' length-match=True\n cipher='fxco' candidate='card' length-match=True\n cipher='fxco' candidate='wonderland' length-match=False\n cipher='fxco' candidate='white' length-match=False\n cipher='fxco' candidate='down' length-match=True <- assign\n cipher='fxco' candidate='smile' length-match=False\n cipher='fxco' candidate='smiled' length-match=False\n cipher='fxco' candidate='looking' length-match=False\n cipher='fxco' candidate='glass' length-match=False\n cipher='fxco' candidate='march' length-match=False\n cipher='fxco' candidate='hare' length-match=True\n cipher='fxco' candidate='dormouse' length-match=False\n cipher='cewji' candidate='alice' length-match=True\n cipher='cewji' candidate='rabbit' length-match=False\n cipher='cewji' candidate='hatter' length-match=False\n cipher='cewji' candidate='cheshire' length-match=False\n cipher='cewji' candidate='queen' length-match=True\n cipher='cewji' candidate='tea' length-match=False\n cipher='cewji' candidate='cake' length-match=False\n cipher='cewji' candidate='garden' length-match=False\n cipher='cewji' candidate='mushroom' length-match=False\n cipher='cewji' candidate='card' length-match=False\n cipher='cewji' candidate='card' length-match=False\n cipher='cewji' candidate='wonderland' length-match=False\n cipher='cewji' candidate='white' length-match=True <- assign\n cipher='cewji' candidate='down' length-match=False\n cipher='cewji' candidate='smile' length-match=True\n cipher='cewji' candidate='smiled' length-match=False\n cipher='cewji' candidate='looking' length-match=False\n cipher='cewji' candidate='glass' length-match=True\n cipher='cewji' candidate='march' length-match=True\n cipher='cewji' candidate='hare' length-match=False\n cipher='cewji' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n mushroom card down white\nFinal: \\boxed{mushroom card down white}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n zfpq efccxp ksnqxpgfnq zfox\n### Reasoning:\n<|cot_start|>Cipher text: zfpq efccxp ksnqxpgfnq zfox\nTry each candidate Wonderland word against each ciphertext word:\n cipher='zfpq' candidate='alice' length-match=False\n cipher='zfpq' candidate='rabbit' length-match=False\n cipher='zfpq' candidate='hatter' length-match=False\n cipher='zfpq' candidate='cheshire' length-match=False\n cipher='zfpq' candidate='queen' length-match=False\n cipher='zfpq' candidate='tea' length-match=False\n cipher='zfpq' candidate='cake' length-match=True\n cipher='zfpq' candidate='garden' length-match=False\n cipher='zfpq' candidate='mushroom' length-match=False\n cipher='zfpq' candidate='card' length-match=True <- assign\n cipher='zfpq' candidate='card' length-match=True <- assign\n cipher='zfpq' candidate='wonderland' length-match=False\n cipher='zfpq' candidate='white' length-match=False\n cipher='zfpq' candidate='down' length-match=True\n cipher='zfpq' candidate='smile' length-match=False\n cipher='zfpq' candidate='smiled' length-match=False\n cipher='zfpq' candidate='looking' length-match=False\n cipher='zfpq' candidate='glass' length-match=False\n cipher='zfpq' candidate='march' length-match=False\n cipher='zfpq' candidate='hare' length-match=True\n cipher='zfpq' candidate='dormouse' length-match=False\n cipher='efccxp' candidate='alice' length-match=False\n cipher='efccxp' candidate='rabbit' length-match=True\n cipher='efccxp' candidate='hatter' length-match=True <- assign\n cipher='efccxp' candidate='cheshire' length-match=False\n cipher='efccxp' candidate='queen' length-match=False\n cipher='efccxp' candidate='tea' length-match=False\n cipher='efccxp' candidate='cake' length-match=False\n cipher='efccxp' candidate='garden' length-match=True\n cipher='efccxp' candidate='mushroom' length-match=False\n cipher='efccxp' candidate='card' length-match=False\n cipher='efccxp' candidate='card' length-match=False\n cipher='efccxp' candidate='wonderland' length-match=False\n cipher='efccxp' candidate='white' length-match=False\n cipher='efccxp' candidate='down' length-match=False\n cipher='efccxp' candidate='smile' length-match=False\n cipher='efccxp' candidate='smiled' length-match=True\n cipher='efccxp' candidate='looking' length-match=False\n cipher='efccxp' candidate='glass' length-match=False\n cipher='efccxp' candidate='march' length-match=False\n cipher='efccxp' candidate='hare' length-match=False\n cipher='efccxp' candidate='dormouse' length-match=False\n cipher='ksnqxpgfnq' candidate='alice' length-match=False\n cipher='ksnqxpgfnq' candidate='rabbit' length-match=False\n cipher='ksnqxpgfnq' candidate='hatter' length-match=False\n cipher='ksnqxpgfnq' candidate='cheshire' length-match=False\n cipher='ksnqxpgfnq' candidate='queen' length-match=False\n cipher='ksnqxpgfnq' candidate='tea' length-match=False\n cipher='ksnqxpgfnq' candidate='cake' length-match=False\n cipher='ksnqxpgfnq' candidate='garden' length-match=False\n cipher='ksnqxpgfnq' candidate='mushroom' length-match=False\n cipher='ksnqxpgfnq' candidate='card' length-match=False\n cipher='ksnqxpgfnq' candidate='card' length-match=False\n cipher='ksnqxpgfnq' candidate='wonderland' length-match=True <- assign\n cipher='ksnqxpgfnq' candidate='white' length-match=False\n cipher='ksnqxpgfnq' candidate='down' length-match=False\n cipher='ksnqxpgfnq' candidate='smile' length-match=False\n cipher='ksnqxpgfnq' candidate='smiled' length-match=False\n cipher='ksnqxpgfnq' candidate='looking' length-match=False\n cipher='ksnqxpgfnq' candidate='glass' length-match=False\n cipher='ksnqxpgfnq' candidate='march' length-match=False\n cipher='ksnqxpgfnq' candidate='hare' length-match=False\n cipher='ksnqxpgfnq' candidate='dormouse' length-match=False\n cipher='zfox' candidate='alice' length-match=False\n cipher='zfox' candidate='rabbit' length-match=False\n cipher='zfox' candidate='hatter' length-match=False\n cipher='zfox' candidate='cheshire' length-match=False\n cipher='zfox' candidate='queen' length-match=False\n cipher='zfox' candidate='tea' length-match=False\n cipher='zfox' candidate='cake' length-match=True <- assign\n cipher='zfox' candidate='garden' length-match=False\n cipher='zfox' candidate='mushroom' length-match=False\n cipher='zfox' candidate='card' length-match=True\n cipher='zfox' candidate='card' length-match=True\n cipher='zfox' candidate='wonderland' length-match=False\n cipher='zfox' candidate='white' length-match=False\n cipher='zfox' candidate='down' length-match=True\n cipher='zfox' candidate='smile' length-match=False\n cipher='zfox' candidate='smiled' length-match=False\n cipher='zfox' candidate='looking' length-match=False\n cipher='zfox' candidate='glass' length-match=False\n cipher='zfox' candidate='march' length-match=False\n cipher='zfox' candidate='hare' length-match=True\n cipher='zfox' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card hatter wonderland cake\nFinal: \\boxed{card hatter wonderland cake}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 27 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 27 litres = 27 * 1000 millilitres.\nCompute step by step:\n 2 * 10^1 * 1000 = 20000\n running total = 20000\n 7 * 10^0 * 1000 = 7000\n running total = 27000\nFinal: \\boxed{27000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11101111 -> 11110111\n 11100001 -> 10000111\n 10111100 -> 00111101\nApply to: 00000110\n### Reasoning:\n<|cot_start|>Given examples:\n 11101111 -> 11110111\n 11100001 -> 10000111\n 10111100 -> 00111101\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 1,1,0\n bit 1: 1,1,0 -> 1,0,0\n bit 2: 1,1,1 -> 1,0,1\n bit 3: 0,0,1 -> 1,0,1\n bit 4: 1,0,1 -> 0,0,1\n bit 5: 1,0,1 -> 1,1,1\n bit 6: 1,0,0 -> 1,1,0\n bit 7: 1,1,0 -> 1,1,1\nDeduce rule: reverse bits.\nApply to 00000110:\n result = 01100000\nFinal: \\boxed{01100000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n I = 1 -> 60 + 1 = 61\n I = 1 -> 61 + 1 = 62\n I = 1 -> 62 + 1 = 63\nFinal: \\boxed{63}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10011110 -> 00001110\n 01101001 -> 00001001\n 11000001 -> 00000001\nApply to: 00100010\n### Reasoning:\n<|cot_start|>Given examples:\n 10011110 -> 00001110\n 01101001 -> 00001001\n 11000001 -> 00000001\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,0,0\n bit 1: 0,1,1 -> 0,0,0\n bit 2: 0,1,0 -> 0,0,0\n bit 3: 1,0,0 -> 0,0,0\n bit 4: 1,1,0 -> 1,1,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 0,1,1 -> 0,1,1\nDeduce rule: and 0x0F.\nApply to 00100010:\n result = 00000010\nFinal: \\boxed{00000010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 28,76 -> 2876\n 13,71 -> 1371\n 27,10 -> 2710\nApply to: 20,81\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 28,76: '+' gives 104; target=2876 no\n 28,76: '-' gives 48; target=2876 no\n 28,76: '*' gives 2128; target=2876 no\n 28,76: 'concat' gives 2876; target=2876 MATCH\n 28,76: 'rev_concat' gives 7628; target=2876 no\n 28,76: 'max*min+sum' gives 2232; target=2876 no\n 28,76: 'digitsum2' gives 529; target=2876 no\n 13,71: '+' gives 84; target=1371 no\n 13,71: '-' gives 58; target=1371 no\n 13,71: '*' gives 923; target=1371 no\n 13,71: 'concat' gives 1371; target=1371 MATCH\n 13,71: 'rev_concat' gives 7113; target=1371 no\n 13,71: 'max*min+sum' gives 1007; target=1371 no\n 13,71: 'digitsum2' gives 144; target=1371 no\n 27,10: '+' gives 37; target=2710 no\n 27,10: '-' gives 17; target=2710 no\n 27,10: '*' gives 270; target=2710 no\n 27,10: 'concat' gives 2710; target=2710 MATCH\n 27,10: 'rev_concat' gives 1027; target=2710 no\n 27,10: 'max*min+sum' gives 307; target=2710 no\n 27,10: 'digitsum2' gives 100; target=2710 no\nThe only operator consistent with all examples is 'concat'.\nApply to (20, 81):\n result = 2081\nFinal: \\boxed{2081}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 52,44 -> 5244\n 76,48 -> 7648\n 66,78 -> 6678\nApply to: 52,61\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 52,44: '+' gives 96; target=5244 no\n 52,44: '-' gives 8; target=5244 no\n 52,44: '*' gives 2288; target=5244 no\n 52,44: 'concat' gives 5244; target=5244 MATCH\n 52,44: 'rev_concat' gives 4452; target=5244 no\n 52,44: 'max*min+sum' gives 2384; target=5244 no\n 52,44: 'digitsum2' gives 225; target=5244 no\n 76,48: '+' gives 124; target=7648 no\n 76,48: '-' gives 28; target=7648 no\n 76,48: '*' gives 3648; target=7648 no\n 76,48: 'concat' gives 7648; target=7648 MATCH\n 76,48: 'rev_concat' gives 4876; target=7648 no\n 76,48: 'max*min+sum' gives 3772; target=7648 no\n 76,48: 'digitsum2' gives 625; target=7648 no\n 66,78: '+' gives 144; target=6678 no\n 66,78: '-' gives 12; target=6678 no\n 66,78: '*' gives 5148; target=6678 no\n 66,78: 'concat' gives 6678; target=6678 MATCH\n 66,78: 'rev_concat' gives 7866; target=6678 no\n 66,78: 'max*min+sum' gives 5292; target=6678 no\n 66,78: 'digitsum2' gives 729; target=6678 no\nThe only operator consistent with all examples is 'concat'.\nApply to (52, 61):\n result = 5261\nFinal: \\boxed{5261}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 20 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 20 kilograms = 20 * 1000 grams.\nCompute step by step:\n 2 * 10^1 * 1000 = 20000\n running total = 20000\n 0 * 10^0 * 1000 = 0\n running total = 20000\nFinal: \\boxed{20000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 29 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 29 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 9 * 10^0 * 981 = 8829\n running total = 28449\nSo F = 28449 centiNewtons = 284.49 N.\nFinal: \\boxed{284.49}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 24,89 -> 8924\n 46,22 -> 2246\n 40,48 -> 4840\nApply to: 83,18\n### Reasoning:\n<|cot_start|>Examples:\n 24,89 -> 8924\n 46,22 -> 2246\n 40,48 -> 4840\nCheck both candidate forms:\n concat(24,89)=2489 rev_concat(24,89)=8924 target=8924 rev_concat\n concat(46,22)=4622 rev_concat(46,22)=2246 target=2246 rev_concat\n concat(40,48)=4048 rev_concat(40,48)=4840 target=4840 rev_concat\nConclude operator: rev_concat.\nApply to (83, 18): answer = 1883\nFinal: \\boxed{1883}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 19,44 -> 4419\n 28,89 -> 8928\n 34,41 -> 4134\nApply to: 27,11\n### Reasoning:\n<|cot_start|>Examples:\n 19,44 -> 4419\n 28,89 -> 8928\n 34,41 -> 4134\nCheck both candidate forms:\n concat(19,44)=1944 rev_concat(19,44)=4419 target=4419 rev_concat\n concat(28,89)=2889 rev_concat(28,89)=8928 target=8928 rev_concat\n concat(34,41)=3441 rev_concat(34,41)=4134 target=4134 rev_concat\nConclude operator: rev_concat.\nApply to (27, 11): answer = 1127\nFinal: \\boxed{1127}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 71,29 -> 2971\n 51,38 -> 3851\n 26,40 -> 4026\nApply to: 27,15\n### Reasoning:\n<|cot_start|>Examples:\n 71,29 -> 2971\n 51,38 -> 3851\n 26,40 -> 4026\nCheck both candidate forms:\n concat(71,29)=7129 rev_concat(71,29)=2971 target=2971 rev_concat\n concat(51,38)=5138 rev_concat(51,38)=3851 target=3851 rev_concat\n concat(26,40)=2640 rev_concat(26,40)=4026 target=4026 rev_concat\nConclude operator: rev_concat.\nApply to (27, 15): answer = 1527\nFinal: \\boxed{1527}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11000111 -> 11100011\n 00001011 -> 11010000\n 10010111 -> 11101001\nApply to: 01111011\n### Reasoning:\n<|cot_start|>Given examples:\n 11000111 -> 11100011\n 00001011 -> 11010000\n 10010111 -> 11101001\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 1,1,1\n bit 1: 1,0,0 -> 1,1,1\n bit 2: 0,0,0 -> 1,0,1\n bit 3: 0,0,1 -> 0,1,0\n bit 4: 0,1,0 -> 0,0,1\n bit 5: 1,0,1 -> 0,0,0\n bit 6: 1,1,1 -> 1,0,0\n bit 7: 1,1,1 -> 1,0,1\nDeduce rule: reverse bits.\nApply to 01111011:\n result = 11011110\nFinal: \\boxed{11011110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 1 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 1 * 981.\nStep-by-step multiplication:\n 1 * 10^0 * 981 = 981\n running total = 981\nSo F = 981 centiNewtons = 9.81 N.\nFinal: \\boxed{9.81}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n V = 5 -> 70 + 5 = 75\n I = 1 -> 75 + 1 = 76\nFinal: \\boxed{76}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 3 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 3 * 981.\nStep-by-step multiplication:\n 3 * 10^0 * 981 = 2943\n running total = 2943\nSo F = 2943 centiNewtons = 29.43 N.\nFinal: \\boxed{29.43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 69,23 -> 6923\n 99,61 -> 9961\n 81,17 -> 8117\nApply to: 43,23\n### Reasoning:\n<|cot_start|>Examples:\n 69,23 -> 6923\n 99,61 -> 9961\n 81,17 -> 8117\nCheck both candidate forms:\n concat(69,23)=6923 rev_concat(69,23)=2369 target=6923 concat\n concat(99,61)=9961 rev_concat(99,61)=6199 target=9961 concat\n concat(81,17)=8117 rev_concat(81,17)=1781 target=8117 concat\nConclude operator: concat.\nApply to (43, 23): answer = 4323\nFinal: \\boxed{4323}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 13,78 -> 1378\n 50,29 -> 5029\n 40,83 -> 4083\nApply to: 73,79\n### Reasoning:\n<|cot_start|>Examples:\n 13,78 -> 1378\n 50,29 -> 5029\n 40,83 -> 4083\nCheck both candidate forms:\n concat(13,78)=1378 rev_concat(13,78)=7813 target=1378 concat\n concat(50,29)=5029 rev_concat(50,29)=2950 target=5029 concat\n concat(40,83)=4083 rev_concat(40,83)=8340 target=4083 concat\nConclude operator: concat.\nApply to (73, 79): answer = 7379\nFinal: \\boxed{7379}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 52,42 -> 169\n 66,12 -> 225\n 53,51 -> 196\nApply to: 91,41\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 52,42: '+' gives 94; target=169 no\n 52,42: '-' gives 10; target=169 no\n 52,42: '*' gives 2184; target=169 no\n 52,42: 'concat' gives 5242; target=169 no\n 52,42: 'rev_concat' gives 4252; target=169 no\n 52,42: 'max*min+sum' gives 2278; target=169 no\n 52,42: 'digitsum2' gives 169; target=169 MATCH\n 66,12: '+' gives 78; target=225 no\n 66,12: '-' gives 54; target=225 no\n 66,12: '*' gives 792; target=225 no\n 66,12: 'concat' gives 6612; target=225 no\n 66,12: 'rev_concat' gives 1266; target=225 no\n 66,12: 'max*min+sum' gives 870; target=225 no\n 66,12: 'digitsum2' gives 225; target=225 MATCH\n 53,51: '+' gives 104; target=196 no\n 53,51: '-' gives 2; target=196 no\n 53,51: '*' gives 2703; target=196 no\n 53,51: 'concat' gives 5351; target=196 no\n 53,51: 'rev_concat' gives 5153; target=196 no\n 53,51: 'max*min+sum' gives 2807; target=196 no\n 53,51: 'digitsum2' gives 196; target=196 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (91, 41):\n result = 225\nFinal: \\boxed{225}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 23 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 23 litres = 23 * 1000 millilitres.\nCompute step by step:\n 2 * 10^1 * 1000 = 20000\n running total = 20000\n 3 * 10^0 * 1000 = 3000\n running total = 23000\nFinal: \\boxed{23000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 27,69 -> 576\n 90,54 -> 324\n 74,26 -> 361\nApply to: 18,68\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 27,69: '+' gives 96; target=576 no\n 27,69: '-' gives 42; target=576 no\n 27,69: '*' gives 1863; target=576 no\n 27,69: 'concat' gives 2769; target=576 no\n 27,69: 'rev_concat' gives 6927; target=576 no\n 27,69: 'max*min+sum' gives 1959; target=576 no\n 27,69: 'digitsum2' gives 576; target=576 MATCH\n 90,54: '+' gives 144; target=324 no\n 90,54: '-' gives 36; target=324 no\n 90,54: '*' gives 4860; target=324 no\n 90,54: 'concat' gives 9054; target=324 no\n 90,54: 'rev_concat' gives 5490; target=324 no\n 90,54: 'max*min+sum' gives 5004; target=324 no\n 90,54: 'digitsum2' gives 324; target=324 MATCH\n 74,26: '+' gives 100; target=361 no\n 74,26: '-' gives 48; target=361 no\n 74,26: '*' gives 1924; target=361 no\n 74,26: 'concat' gives 7426; target=361 no\n 74,26: 'rev_concat' gives 2674; target=361 no\n 74,26: 'max*min+sum' gives 2024; target=361 no\n 74,26: 'digitsum2' gives 361; target=361 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (18, 68):\n result = 529\nFinal: \\boxed{529}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n mwzukhxezu uwhawcsk jehk oehu\n### Reasoning:\n<|cot_start|>Cipher text: mwzukhxezu uwhawcsk jehk oehu\nTry each candidate Wonderland word against each ciphertext word:\n cipher='mwzukhxezu' candidate='alice' length-match=False\n cipher='mwzukhxezu' candidate='rabbit' length-match=False\n cipher='mwzukhxezu' candidate='hatter' length-match=False\n cipher='mwzukhxezu' candidate='cheshire' length-match=False\n cipher='mwzukhxezu' candidate='queen' length-match=False\n cipher='mwzukhxezu' candidate='tea' length-match=False\n cipher='mwzukhxezu' candidate='cake' length-match=False\n cipher='mwzukhxezu' candidate='garden' length-match=False\n cipher='mwzukhxezu' candidate='mushroom' length-match=False\n cipher='mwzukhxezu' candidate='card' length-match=False\n cipher='mwzukhxezu' candidate='card' length-match=False\n cipher='mwzukhxezu' candidate='wonderland' length-match=True <- assign\n cipher='mwzukhxezu' candidate='white' length-match=False\n cipher='mwzukhxezu' candidate='down' length-match=False\n cipher='mwzukhxezu' candidate='smile' length-match=False\n cipher='mwzukhxezu' candidate='smiled' length-match=False\n cipher='mwzukhxezu' candidate='looking' length-match=False\n cipher='mwzukhxezu' candidate='glass' length-match=False\n cipher='mwzukhxezu' candidate='march' length-match=False\n cipher='mwzukhxezu' candidate='hare' length-match=False\n cipher='mwzukhxezu' candidate='dormouse' length-match=False\n cipher='uwhawcsk' candidate='alice' length-match=False\n cipher='uwhawcsk' candidate='rabbit' length-match=False\n cipher='uwhawcsk' candidate='hatter' length-match=False\n cipher='uwhawcsk' candidate='cheshire' length-match=True\n cipher='uwhawcsk' candidate='queen' length-match=False\n cipher='uwhawcsk' candidate='tea' length-match=False\n cipher='uwhawcsk' candidate='cake' length-match=False\n cipher='uwhawcsk' candidate='garden' length-match=False\n cipher='uwhawcsk' candidate='mushroom' length-match=True\n cipher='uwhawcsk' candidate='card' length-match=False\n cipher='uwhawcsk' candidate='card' length-match=False\n cipher='uwhawcsk' candidate='wonderland' length-match=False\n cipher='uwhawcsk' candidate='white' length-match=False\n cipher='uwhawcsk' candidate='down' length-match=False\n cipher='uwhawcsk' candidate='smile' length-match=False\n cipher='uwhawcsk' candidate='smiled' length-match=False\n cipher='uwhawcsk' candidate='looking' length-match=False\n cipher='uwhawcsk' candidate='glass' length-match=False\n cipher='uwhawcsk' candidate='march' length-match=False\n cipher='uwhawcsk' candidate='hare' length-match=False\n cipher='uwhawcsk' candidate='dormouse' length-match=True <- assign\n cipher='jehk' candidate='alice' length-match=False\n cipher='jehk' candidate='rabbit' length-match=False\n cipher='jehk' candidate='hatter' length-match=False\n cipher='jehk' candidate='cheshire' length-match=False\n cipher='jehk' candidate='queen' length-match=False\n cipher='jehk' candidate='tea' length-match=False\n cipher='jehk' candidate='cake' length-match=True\n cipher='jehk' candidate='garden' length-match=False\n cipher='jehk' candidate='mushroom' length-match=False\n cipher='jehk' candidate='card' length-match=True\n cipher='jehk' candidate='card' length-match=True\n cipher='jehk' candidate='wonderland' length-match=False\n cipher='jehk' candidate='white' length-match=False\n cipher='jehk' candidate='down' length-match=True\n cipher='jehk' candidate='smile' length-match=False\n cipher='jehk' candidate='smiled' length-match=False\n cipher='jehk' candidate='looking' length-match=False\n cipher='jehk' candidate='glass' length-match=False\n cipher='jehk' candidate='march' length-match=False\n cipher='jehk' candidate='hare' length-match=True <- assign\n cipher='jehk' candidate='dormouse' length-match=False\n cipher='oehu' candidate='alice' length-match=False\n cipher='oehu' candidate='rabbit' length-match=False\n cipher='oehu' candidate='hatter' length-match=False\n cipher='oehu' candidate='cheshire' length-match=False\n cipher='oehu' candidate='queen' length-match=False\n cipher='oehu' candidate='tea' length-match=False\n cipher='oehu' candidate='cake' length-match=True\n cipher='oehu' candidate='garden' length-match=False\n cipher='oehu' candidate='mushroom' length-match=False\n cipher='oehu' candidate='card' length-match=True <- assign\n cipher='oehu' candidate='card' length-match=True <- assign\n cipher='oehu' candidate='wonderland' length-match=False\n cipher='oehu' candidate='white' length-match=False\n cipher='oehu' candidate='down' length-match=True\n cipher='oehu' candidate='smile' length-match=False\n cipher='oehu' candidate='smiled' length-match=False\n cipher='oehu' candidate='looking' length-match=False\n cipher='oehu' candidate='glass' length-match=False\n cipher='oehu' candidate='march' length-match=False\n cipher='oehu' candidate='hare' length-match=True\n cipher='oehu' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n wonderland dormouse hare card\nFinal: \\boxed{wonderland dormouse hare card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 68,43 -> 4368\n 54,45 -> 4554\n 89,97 -> 9789\nApply to: 38,33\n### Reasoning:\n<|cot_start|>Examples:\n 68,43 -> 4368\n 54,45 -> 4554\n 89,97 -> 9789\nCheck both candidate forms:\n concat(68,43)=6843 rev_concat(68,43)=4368 target=4368 rev_concat\n concat(54,45)=5445 rev_concat(54,45)=4554 target=4554 rev_concat\n concat(89,97)=8997 rev_concat(89,97)=9789 target=9789 rev_concat\nConclude operator: rev_concat.\nApply to (38, 33): answer = 3338\nFinal: \\boxed{3338}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n V = 5 -> 20 + 5 = 25\n I = 1 -> 25 + 1 = 26\n I = 1 -> 26 + 1 = 27\nFinal: \\boxed{27}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 80,35 -> 8035\n 26,59 -> 2659\n 82,94 -> 8294\nApply to: 71,56\n### Reasoning:\n<|cot_start|>Examples:\n 80,35 -> 8035\n 26,59 -> 2659\n 82,94 -> 8294\nCheck both candidate forms:\n concat(80,35)=8035 rev_concat(80,35)=3580 target=8035 concat\n concat(26,59)=2659 rev_concat(26,59)=5926 target=2659 concat\n concat(82,94)=8294 rev_concat(82,94)=9482 target=8294 concat\nConclude operator: concat.\nApply to (71, 56): answer = 7156\nFinal: \\boxed{7156}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 18 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 18 kilograms = 18 * 1000 grams.\nCompute step by step:\n 1 * 10^1 * 1000 = 10000\n running total = 10000\n 8 * 10^0 * 1000 = 8000\n running total = 18000\nFinal: \\boxed{18000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n V = 5 -> 70 + 5 = 75\n I = 1 -> 75 + 1 = 76\n I = 1 -> 76 + 1 = 77\n I = 1 -> 77 + 1 = 78\nFinal: \\boxed{78}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n akzfpl wpn akzfp yfnaa\n### Reasoning:\n<|cot_start|>Cipher text: akzfpl wpn akzfp yfnaa\nTry each candidate Wonderland word against each ciphertext word:\n cipher='akzfpl' candidate='alice' length-match=False\n cipher='akzfpl' candidate='rabbit' length-match=True\n cipher='akzfpl' candidate='hatter' length-match=True\n cipher='akzfpl' candidate='cheshire' length-match=False\n cipher='akzfpl' candidate='queen' length-match=False\n cipher='akzfpl' candidate='tea' length-match=False\n cipher='akzfpl' candidate='cake' length-match=False\n cipher='akzfpl' candidate='garden' length-match=True\n cipher='akzfpl' candidate='mushroom' length-match=False\n cipher='akzfpl' candidate='card' length-match=False\n cipher='akzfpl' candidate='card' length-match=False\n cipher='akzfpl' candidate='wonderland' length-match=False\n cipher='akzfpl' candidate='white' length-match=False\n cipher='akzfpl' candidate='down' length-match=False\n cipher='akzfpl' candidate='smile' length-match=False\n cipher='akzfpl' candidate='smiled' length-match=True <- assign\n cipher='akzfpl' candidate='looking' length-match=False\n cipher='akzfpl' candidate='glass' length-match=False\n cipher='akzfpl' candidate='march' length-match=False\n cipher='akzfpl' candidate='hare' length-match=False\n cipher='akzfpl' candidate='dormouse' length-match=False\n cipher='wpn' candidate='alice' length-match=False\n cipher='wpn' candidate='rabbit' length-match=False\n cipher='wpn' candidate='hatter' length-match=False\n cipher='wpn' candidate='cheshire' length-match=False\n cipher='wpn' candidate='queen' length-match=False\n cipher='wpn' candidate='tea' length-match=True <- assign\n cipher='wpn' candidate='cake' length-match=False\n cipher='wpn' candidate='garden' length-match=False\n cipher='wpn' candidate='mushroom' length-match=False\n cipher='wpn' candidate='card' length-match=False\n cipher='wpn' candidate='card' length-match=False\n cipher='wpn' candidate='wonderland' length-match=False\n cipher='wpn' candidate='white' length-match=False\n cipher='wpn' candidate='down' length-match=False\n cipher='wpn' candidate='smile' length-match=False\n cipher='wpn' candidate='smiled' length-match=False\n cipher='wpn' candidate='looking' length-match=False\n cipher='wpn' candidate='glass' length-match=False\n cipher='wpn' candidate='march' length-match=False\n cipher='wpn' candidate='hare' length-match=False\n cipher='wpn' candidate='dormouse' length-match=False\n cipher='akzfp' candidate='alice' length-match=True\n cipher='akzfp' candidate='rabbit' length-match=False\n cipher='akzfp' candidate='hatter' length-match=False\n cipher='akzfp' candidate='cheshire' length-match=False\n cipher='akzfp' candidate='queen' length-match=True\n cipher='akzfp' candidate='tea' length-match=False\n cipher='akzfp' candidate='cake' length-match=False\n cipher='akzfp' candidate='garden' length-match=False\n cipher='akzfp' candidate='mushroom' length-match=False\n cipher='akzfp' candidate='card' length-match=False\n cipher='akzfp' candidate='card' length-match=False\n cipher='akzfp' candidate='wonderland' length-match=False\n cipher='akzfp' candidate='white' length-match=True\n cipher='akzfp' candidate='down' length-match=False\n cipher='akzfp' candidate='smile' length-match=True <- assign\n cipher='akzfp' candidate='smiled' length-match=False\n cipher='akzfp' candidate='looking' length-match=False\n cipher='akzfp' candidate='glass' length-match=True\n cipher='akzfp' candidate='march' length-match=True\n cipher='akzfp' candidate='hare' length-match=False\n cipher='akzfp' candidate='dormouse' length-match=False\n cipher='yfnaa' candidate='alice' length-match=True\n cipher='yfnaa' candidate='rabbit' length-match=False\n cipher='yfnaa' candidate='hatter' length-match=False\n cipher='yfnaa' candidate='cheshire' length-match=False\n cipher='yfnaa' candidate='queen' length-match=True\n cipher='yfnaa' candidate='tea' length-match=False\n cipher='yfnaa' candidate='cake' length-match=False\n cipher='yfnaa' candidate='garden' length-match=False\n cipher='yfnaa' candidate='mushroom' length-match=False\n cipher='yfnaa' candidate='card' length-match=False\n cipher='yfnaa' candidate='card' length-match=False\n cipher='yfnaa' candidate='wonderland' length-match=False\n cipher='yfnaa' candidate='white' length-match=True\n cipher='yfnaa' candidate='down' length-match=False\n cipher='yfnaa' candidate='smile' length-match=True\n cipher='yfnaa' candidate='smiled' length-match=False\n cipher='yfnaa' candidate='looking' length-match=False\n cipher='yfnaa' candidate='glass' length-match=True <- assign\n cipher='yfnaa' candidate='march' length-match=True\n cipher='yfnaa' candidate='hare' length-match=False\n cipher='yfnaa' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n smiled tea smile glass\nFinal: \\boxed{smiled tea smile glass}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 42 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 42 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 2 * 10^0 * 981 = 1962\n running total = 41202\nSo F = 41202 centiNewtons = 412.02 N.\nFinal: \\boxed{412.02}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 57,16 -> 73\n 95,38 -> 133\n 38,73 -> 111\nApply to: 42,49\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 57,16: '+' gives 73; target=73 MATCH\n 57,16: '-' gives 41; target=73 no\n 57,16: '*' gives 912; target=73 no\n 57,16: 'concat' gives 5716; target=73 no\n 57,16: 'rev_concat' gives 1657; target=73 no\n 57,16: 'max*min+sum' gives 985; target=73 no\n 57,16: 'digitsum2' gives 361; target=73 no\n 95,38: '+' gives 133; target=133 MATCH\n 95,38: '-' gives 57; target=133 no\n 95,38: '*' gives 3610; target=133 no\n 95,38: 'concat' gives 9538; target=133 no\n 95,38: 'rev_concat' gives 3895; target=133 no\n 95,38: 'max*min+sum' gives 3743; target=133 no\n 95,38: 'digitsum2' gives 625; target=133 no\n 38,73: '+' gives 111; target=111 MATCH\n 38,73: '-' gives 35; target=111 no\n 38,73: '*' gives 2774; target=111 no\n 38,73: 'concat' gives 3873; target=111 no\n 38,73: 'rev_concat' gives 7338; target=111 no\n 38,73: 'max*min+sum' gives 2885; target=111 no\n 38,73: 'digitsum2' gives 441; target=111 no\nThe only operator consistent with all examples is '+'.\nApply to (42, 49):\n result = 91\nFinal: \\boxed{91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n X = 10 -> 70 + 10 = 80\n I = 1 -> 80 + 1 = 81\nFinal: \\boxed{81}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00010011 -> 01000110\n 00101100 -> 01111001\n 10110001 -> 11100100\nApply to: 11000010\n### Reasoning:\n<|cot_start|>Given examples:\n 00010011 -> 01000110\n 00101100 -> 01111001\n 10110001 -> 11100100\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 0,0,1\n bit 1: 0,0,0 -> 1,1,1\n bit 2: 0,1,1 -> 0,1,1\n bit 3: 1,0,1 -> 0,1,0\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 0,1,0 -> 1,0,1\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 1,0,1 -> 0,1,0\nDeduce rule: xor 0x55.\nApply to 11000010:\n result = 10010111\nFinal: \\boxed{10010111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 92 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 92 metres = 92 * 100 centimetres.\nCompute step by step:\n 9 * 10^1 * 100 = 9000\n running total = 9000\n 2 * 10^0 * 100 = 200\n running total = 9200\nFinal: \\boxed{9200}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 57 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 57 minutes = 57 * 60 seconds.\nCompute step by step:\n 5 * 10^1 * 60 = 3000\n running total = 3000\n 7 * 10^0 * 60 = 420\n running total = 3420\nFinal: \\boxed{3420}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n IX = 9 -> 10 + 9 = 19\nFinal: \\boxed{19}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n V = 5 -> 20 + 5 = 25\nFinal: \\boxed{25}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 20,21 -> 1\n 41,24 -> 17\n 35,71 -> 36\nApply to: 93,34\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 20,21: '+' gives 41; target=1 no\n 20,21: '-' gives 1; target=1 MATCH\n 20,21: '*' gives 420; target=1 no\n 20,21: 'concat' gives 2021; target=1 no\n 20,21: 'rev_concat' gives 2120; target=1 no\n 20,21: 'max*min+sum' gives 461; target=1 no\n 20,21: 'digitsum2' gives 25; target=1 no\n 41,24: '+' gives 65; target=17 no\n 41,24: '-' gives 17; target=17 MATCH\n 41,24: '*' gives 984; target=17 no\n 41,24: 'concat' gives 4124; target=17 no\n 41,24: 'rev_concat' gives 2441; target=17 no\n 41,24: 'max*min+sum' gives 1049; target=17 no\n 41,24: 'digitsum2' gives 121; target=17 no\n 35,71: '+' gives 106; target=36 no\n 35,71: '-' gives 36; target=36 MATCH\n 35,71: '*' gives 2485; target=36 no\n 35,71: 'concat' gives 3571; target=36 no\n 35,71: 'rev_concat' gives 7135; target=36 no\n 35,71: 'max*min+sum' gives 2591; target=36 no\n 35,71: 'digitsum2' gives 256; target=36 no\nThe only operator consistent with all examples is '-'.\nApply to (93, 34):\n result = 59\nFinal: \\boxed{59}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n qhvpu nqrlw yokz bwh\n### Reasoning:\n<|cot_start|>Cipher text: qhvpu nqrlw yokz bwh\nTry each candidate Wonderland word against each ciphertext word:\n cipher='qhvpu' candidate='alice' length-match=True\n cipher='qhvpu' candidate='rabbit' length-match=False\n cipher='qhvpu' candidate='hatter' length-match=False\n cipher='qhvpu' candidate='cheshire' length-match=False\n cipher='qhvpu' candidate='queen' length-match=True\n cipher='qhvpu' candidate='tea' length-match=False\n cipher='qhvpu' candidate='cake' length-match=False\n cipher='qhvpu' candidate='garden' length-match=False\n cipher='qhvpu' candidate='mushroom' length-match=False\n cipher='qhvpu' candidate='card' length-match=False\n cipher='qhvpu' candidate='card' length-match=False\n cipher='qhvpu' candidate='wonderland' length-match=False\n cipher='qhvpu' candidate='white' length-match=True\n cipher='qhvpu' candidate='down' length-match=False\n cipher='qhvpu' candidate='smile' length-match=True\n cipher='qhvpu' candidate='smiled' length-match=False\n cipher='qhvpu' candidate='looking' length-match=False\n cipher='qhvpu' candidate='glass' length-match=True\n cipher='qhvpu' candidate='march' length-match=True <- assign\n cipher='qhvpu' candidate='hare' length-match=False\n cipher='qhvpu' candidate='dormouse' length-match=False\n cipher='nqrlw' candidate='alice' length-match=True\n cipher='nqrlw' candidate='rabbit' length-match=False\n cipher='nqrlw' candidate='hatter' length-match=False\n cipher='nqrlw' candidate='cheshire' length-match=False\n cipher='nqrlw' candidate='queen' length-match=True\n cipher='nqrlw' candidate='tea' length-match=False\n cipher='nqrlw' candidate='cake' length-match=False\n cipher='nqrlw' candidate='garden' length-match=False\n cipher='nqrlw' candidate='mushroom' length-match=False\n cipher='nqrlw' candidate='card' length-match=False\n cipher='nqrlw' candidate='card' length-match=False\n cipher='nqrlw' candidate='wonderland' length-match=False\n cipher='nqrlw' candidate='white' length-match=True\n cipher='nqrlw' candidate='down' length-match=False\n cipher='nqrlw' candidate='smile' length-match=True <- assign\n cipher='nqrlw' candidate='smiled' length-match=False\n cipher='nqrlw' candidate='looking' length-match=False\n cipher='nqrlw' candidate='glass' length-match=True\n cipher='nqrlw' candidate='march' length-match=True\n cipher='nqrlw' candidate='hare' length-match=False\n cipher='nqrlw' candidate='dormouse' length-match=False\n cipher='yokz' candidate='alice' length-match=False\n cipher='yokz' candidate='rabbit' length-match=False\n cipher='yokz' candidate='hatter' length-match=False\n cipher='yokz' candidate='cheshire' length-match=False\n cipher='yokz' candidate='queen' length-match=False\n cipher='yokz' candidate='tea' length-match=False\n cipher='yokz' candidate='cake' length-match=True\n cipher='yokz' candidate='garden' length-match=False\n cipher='yokz' candidate='mushroom' length-match=False\n cipher='yokz' candidate='card' length-match=True\n cipher='yokz' candidate='card' length-match=True\n cipher='yokz' candidate='wonderland' length-match=False\n cipher='yokz' candidate='white' length-match=False\n cipher='yokz' candidate='down' length-match=True <- assign\n cipher='yokz' candidate='smile' length-match=False\n cipher='yokz' candidate='smiled' length-match=False\n cipher='yokz' candidate='looking' length-match=False\n cipher='yokz' candidate='glass' length-match=False\n cipher='yokz' candidate='march' length-match=False\n cipher='yokz' candidate='hare' length-match=True\n cipher='yokz' candidate='dormouse' length-match=False\n cipher='bwh' candidate='alice' length-match=False\n cipher='bwh' candidate='rabbit' length-match=False\n cipher='bwh' candidate='hatter' length-match=False\n cipher='bwh' candidate='cheshire' length-match=False\n cipher='bwh' candidate='queen' length-match=False\n cipher='bwh' candidate='tea' length-match=True <- assign\n cipher='bwh' candidate='cake' length-match=False\n cipher='bwh' candidate='garden' length-match=False\n cipher='bwh' candidate='mushroom' length-match=False\n cipher='bwh' candidate='card' length-match=False\n cipher='bwh' candidate='card' length-match=False\n cipher='bwh' candidate='wonderland' length-match=False\n cipher='bwh' candidate='white' length-match=False\n cipher='bwh' candidate='down' length-match=False\n cipher='bwh' candidate='smile' length-match=False\n cipher='bwh' candidate='smiled' length-match=False\n cipher='bwh' candidate='looking' length-match=False\n cipher='bwh' candidate='glass' length-match=False\n cipher='bwh' candidate='march' length-match=False\n cipher='bwh' candidate='hare' length-match=False\n cipher='bwh' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n march smile down tea\nFinal: \\boxed{march smile down tea}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00111101 -> 00001101\n 10000000 -> 00000000\n 10100001 -> 00000001\nApply to: 10000011\n### Reasoning:\n<|cot_start|>Given examples:\n 00111101 -> 00001101\n 10000000 -> 00000000\n 10100001 -> 00000001\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,0,0\n bit 1: 0,0,0 -> 0,0,0\n bit 2: 1,0,1 -> 0,0,0\n bit 3: 1,0,0 -> 0,0,0\n bit 4: 1,0,0 -> 1,0,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 0,0,0 -> 0,0,0\n bit 7: 1,0,1 -> 1,0,1\nDeduce rule: and 0x0F.\nApply to 10000011:\n result = 00000011\nFinal: \\boxed{00000011}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n V = 5 -> 50 + 5 = 55\n I = 1 -> 55 + 1 = 56\nFinal: \\boxed{56}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 11 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 11 days = 11 * 24 hours.\nCompute step by step:\n 1 * 10^1 * 24 = 240\n running total = 240\n 1 * 10^0 * 24 = 24\n running total = 264\nFinal: \\boxed{264}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n V = 5 -> 30 + 5 = 35\n I = 1 -> 35 + 1 = 36\n I = 1 -> 36 + 1 = 37\n I = 1 -> 37 + 1 = 38\nFinal: \\boxed{38}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n vjbdd ghflr wcdhsqqw bjfpr\n### Reasoning:\n<|cot_start|>Cipher text: vjbdd ghflr wcdhsqqw bjfpr\nTry each candidate Wonderland word against each ciphertext word:\n cipher='vjbdd' candidate='alice' length-match=True\n cipher='vjbdd' candidate='rabbit' length-match=False\n cipher='vjbdd' candidate='hatter' length-match=False\n cipher='vjbdd' candidate='cheshire' length-match=False\n cipher='vjbdd' candidate='queen' length-match=True\n cipher='vjbdd' candidate='tea' length-match=False\n cipher='vjbdd' candidate='cake' length-match=False\n cipher='vjbdd' candidate='garden' length-match=False\n cipher='vjbdd' candidate='mushroom' length-match=False\n cipher='vjbdd' candidate='card' length-match=False\n cipher='vjbdd' candidate='card' length-match=False\n cipher='vjbdd' candidate='wonderland' length-match=False\n cipher='vjbdd' candidate='white' length-match=True\n cipher='vjbdd' candidate='down' length-match=False\n cipher='vjbdd' candidate='smile' length-match=True\n cipher='vjbdd' candidate='smiled' length-match=False\n cipher='vjbdd' candidate='looking' length-match=False\n cipher='vjbdd' candidate='glass' length-match=True <- assign\n cipher='vjbdd' candidate='march' length-match=True\n cipher='vjbdd' candidate='hare' length-match=False\n cipher='vjbdd' candidate='dormouse' length-match=False\n cipher='ghflr' candidate='alice' length-match=True\n cipher='ghflr' candidate='rabbit' length-match=False\n cipher='ghflr' candidate='hatter' length-match=False\n cipher='ghflr' candidate='cheshire' length-match=False\n cipher='ghflr' candidate='queen' length-match=True\n cipher='ghflr' candidate='tea' length-match=False\n cipher='ghflr' candidate='cake' length-match=False\n cipher='ghflr' candidate='garden' length-match=False\n cipher='ghflr' candidate='mushroom' length-match=False\n cipher='ghflr' candidate='card' length-match=False\n cipher='ghflr' candidate='card' length-match=False\n cipher='ghflr' candidate='wonderland' length-match=False\n cipher='ghflr' candidate='white' length-match=True <- assign\n cipher='ghflr' candidate='down' length-match=False\n cipher='ghflr' candidate='smile' length-match=True\n cipher='ghflr' candidate='smiled' length-match=False\n cipher='ghflr' candidate='looking' length-match=False\n cipher='ghflr' candidate='glass' length-match=True\n cipher='ghflr' candidate='march' length-match=True\n cipher='ghflr' candidate='hare' length-match=False\n cipher='ghflr' candidate='dormouse' length-match=False\n cipher='wcdhsqqw' candidate='alice' length-match=False\n cipher='wcdhsqqw' candidate='rabbit' length-match=False\n cipher='wcdhsqqw' candidate='hatter' length-match=False\n cipher='wcdhsqqw' candidate='cheshire' length-match=True\n cipher='wcdhsqqw' candidate='queen' length-match=False\n cipher='wcdhsqqw' candidate='tea' length-match=False\n cipher='wcdhsqqw' candidate='cake' length-match=False\n cipher='wcdhsqqw' candidate='garden' length-match=False\n cipher='wcdhsqqw' candidate='mushroom' length-match=True <- assign\n cipher='wcdhsqqw' candidate='card' length-match=False\n cipher='wcdhsqqw' candidate='card' length-match=False\n cipher='wcdhsqqw' candidate='wonderland' length-match=False\n cipher='wcdhsqqw' candidate='white' length-match=False\n cipher='wcdhsqqw' candidate='down' length-match=False\n cipher='wcdhsqqw' candidate='smile' length-match=False\n cipher='wcdhsqqw' candidate='smiled' length-match=False\n cipher='wcdhsqqw' candidate='looking' length-match=False\n cipher='wcdhsqqw' candidate='glass' length-match=False\n cipher='wcdhsqqw' candidate='march' length-match=False\n cipher='wcdhsqqw' candidate='hare' length-match=False\n cipher='wcdhsqqw' candidate='dormouse' length-match=True\n cipher='bjfpr' candidate='alice' length-match=True <- assign\n cipher='bjfpr' candidate='rabbit' length-match=False\n cipher='bjfpr' candidate='hatter' length-match=False\n cipher='bjfpr' candidate='cheshire' length-match=False\n cipher='bjfpr' candidate='queen' length-match=True\n cipher='bjfpr' candidate='tea' length-match=False\n cipher='bjfpr' candidate='cake' length-match=False\n cipher='bjfpr' candidate='garden' length-match=False\n cipher='bjfpr' candidate='mushroom' length-match=False\n cipher='bjfpr' candidate='card' length-match=False\n cipher='bjfpr' candidate='card' length-match=False\n cipher='bjfpr' candidate='wonderland' length-match=False\n cipher='bjfpr' candidate='white' length-match=True\n cipher='bjfpr' candidate='down' length-match=False\n cipher='bjfpr' candidate='smile' length-match=True\n cipher='bjfpr' candidate='smiled' length-match=False\n cipher='bjfpr' candidate='looking' length-match=False\n cipher='bjfpr' candidate='glass' length-match=True\n cipher='bjfpr' candidate='march' length-match=True\n cipher='bjfpr' candidate='hare' length-match=False\n cipher='bjfpr' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n glass white mushroom alice\nFinal: \\boxed{glass white mushroom alice}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 78 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 78 kilometres = 78 * 1000 metres.\nCompute step by step:\n 7 * 10^1 * 1000 = 70000\n running total = 70000\n 8 * 10^0 * 1000 = 8000\n running total = 78000\nFinal: \\boxed{78000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 79,14 -> 1479\n 35,46 -> 4635\n 81,36 -> 3681\nApply to: 43,17\n### Reasoning:\n<|cot_start|>Examples:\n 79,14 -> 1479\n 35,46 -> 4635\n 81,36 -> 3681\nCheck both candidate forms:\n concat(79,14)=7914 rev_concat(79,14)=1479 target=1479 rev_concat\n concat(35,46)=3546 rev_concat(35,46)=4635 target=4635 rev_concat\n concat(81,36)=8136 rev_concat(81,36)=3681 target=3681 rev_concat\nConclude operator: rev_concat.\nApply to (43, 17): answer = 1743\nFinal: \\boxed{1743}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 25 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 25 minutes = 25 * 60 seconds.\nCompute step by step:\n 2 * 10^1 * 60 = 1200\n running total = 1200\n 5 * 10^0 * 60 = 300\n running total = 1500\nFinal: \\boxed{1500}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 80 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 80 days = 80 * 24 hours.\nCompute step by step:\n 8 * 10^1 * 24 = 1920\n running total = 1920\n 0 * 10^0 * 24 = 0\n running total = 1920\nFinal: \\boxed{1920}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n yrnmv panov rzyaittr emnjv\n### Reasoning:\n<|cot_start|>Cipher text: yrnmv panov rzyaittr emnjv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='yrnmv' candidate='alice' length-match=True\n cipher='yrnmv' candidate='rabbit' length-match=False\n cipher='yrnmv' candidate='hatter' length-match=False\n cipher='yrnmv' candidate='cheshire' length-match=False\n cipher='yrnmv' candidate='queen' length-match=True\n cipher='yrnmv' candidate='tea' length-match=False\n cipher='yrnmv' candidate='cake' length-match=False\n cipher='yrnmv' candidate='garden' length-match=False\n cipher='yrnmv' candidate='mushroom' length-match=False\n cipher='yrnmv' candidate='card' length-match=False\n cipher='yrnmv' candidate='card' length-match=False\n cipher='yrnmv' candidate='wonderland' length-match=False\n cipher='yrnmv' candidate='white' length-match=True\n cipher='yrnmv' candidate='down' length-match=False\n cipher='yrnmv' candidate='smile' length-match=True <- assign\n cipher='yrnmv' candidate='smiled' length-match=False\n cipher='yrnmv' candidate='looking' length-match=False\n cipher='yrnmv' candidate='glass' length-match=True\n cipher='yrnmv' candidate='march' length-match=True\n cipher='yrnmv' candidate='hare' length-match=False\n cipher='yrnmv' candidate='dormouse' length-match=False\n cipher='panov' candidate='alice' length-match=True\n cipher='panov' candidate='rabbit' length-match=False\n cipher='panov' candidate='hatter' length-match=False\n cipher='panov' candidate='cheshire' length-match=False\n cipher='panov' candidate='queen' length-match=True\n cipher='panov' candidate='tea' length-match=False\n cipher='panov' candidate='cake' length-match=False\n cipher='panov' candidate='garden' length-match=False\n cipher='panov' candidate='mushroom' length-match=False\n cipher='panov' candidate='card' length-match=False\n cipher='panov' candidate='card' length-match=False\n cipher='panov' candidate='wonderland' length-match=False\n cipher='panov' candidate='white' length-match=True <- assign\n cipher='panov' candidate='down' length-match=False\n cipher='panov' candidate='smile' length-match=True\n cipher='panov' candidate='smiled' length-match=False\n cipher='panov' candidate='looking' length-match=False\n cipher='panov' candidate='glass' length-match=True\n cipher='panov' candidate='march' length-match=True\n cipher='panov' candidate='hare' length-match=False\n cipher='panov' candidate='dormouse' length-match=False\n cipher='rzyaittr' candidate='alice' length-match=False\n cipher='rzyaittr' candidate='rabbit' length-match=False\n cipher='rzyaittr' candidate='hatter' length-match=False\n cipher='rzyaittr' candidate='cheshire' length-match=True\n cipher='rzyaittr' candidate='queen' length-match=False\n cipher='rzyaittr' candidate='tea' length-match=False\n cipher='rzyaittr' candidate='cake' length-match=False\n cipher='rzyaittr' candidate='garden' length-match=False\n cipher='rzyaittr' candidate='mushroom' length-match=True <- assign\n cipher='rzyaittr' candidate='card' length-match=False\n cipher='rzyaittr' candidate='card' length-match=False\n cipher='rzyaittr' candidate='wonderland' length-match=False\n cipher='rzyaittr' candidate='white' length-match=False\n cipher='rzyaittr' candidate='down' length-match=False\n cipher='rzyaittr' candidate='smile' length-match=False\n cipher='rzyaittr' candidate='smiled' length-match=False\n cipher='rzyaittr' candidate='looking' length-match=False\n cipher='rzyaittr' candidate='glass' length-match=False\n cipher='rzyaittr' candidate='march' length-match=False\n cipher='rzyaittr' candidate='hare' length-match=False\n cipher='rzyaittr' candidate='dormouse' length-match=True\n cipher='emnjv' candidate='alice' length-match=True <- assign\n cipher='emnjv' candidate='rabbit' length-match=False\n cipher='emnjv' candidate='hatter' length-match=False\n cipher='emnjv' candidate='cheshire' length-match=False\n cipher='emnjv' candidate='queen' length-match=True\n cipher='emnjv' candidate='tea' length-match=False\n cipher='emnjv' candidate='cake' length-match=False\n cipher='emnjv' candidate='garden' length-match=False\n cipher='emnjv' candidate='mushroom' length-match=False\n cipher='emnjv' candidate='card' length-match=False\n cipher='emnjv' candidate='card' length-match=False\n cipher='emnjv' candidate='wonderland' length-match=False\n cipher='emnjv' candidate='white' length-match=True\n cipher='emnjv' candidate='down' length-match=False\n cipher='emnjv' candidate='smile' length-match=True\n cipher='emnjv' candidate='smiled' length-match=False\n cipher='emnjv' candidate='looking' length-match=False\n cipher='emnjv' candidate='glass' length-match=True\n cipher='emnjv' candidate='march' length-match=True\n cipher='emnjv' candidate='hare' length-match=False\n cipher='emnjv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n smile white mushroom alice\nFinal: \\boxed{smile white mushroom alice}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n IX = 9 -> 10 + 9 = 19\nFinal: \\boxed{19}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 43 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 43 litres = 43 * 1000 millilitres.\nCompute step by step:\n 4 * 10^1 * 1000 = 40000\n running total = 40000\n 3 * 10^0 * 1000 = 3000\n running total = 43000\nFinal: \\boxed{43000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 82 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 82 minutes = 82 * 60 seconds.\nCompute step by step:\n 8 * 10^1 * 60 = 4800\n running total = 4800\n 2 * 10^0 * 60 = 120\n running total = 4920\nFinal: \\boxed{4920}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11100011 -> 01001001\n 01010100 -> 11111110\n 01010100 -> 11111110\nApply to: 11101110\n### Reasoning:\n<|cot_start|>Given examples:\n 11100011 -> 01001001\n 01010100 -> 11111110\n 01010100 -> 11111110\nCompare each bit position across the three examples:\n bit 0: 1,0,0 -> 0,1,1\n bit 1: 1,1,1 -> 1,1,1\n bit 2: 1,0,0 -> 0,1,1\n bit 3: 0,1,1 -> 0,1,1\n bit 4: 0,0,0 -> 1,1,1\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 1,0,0 -> 0,1,1\n bit 7: 1,0,0 -> 1,0,0\nDeduce rule: xor 0xAA.\nApply to 11101110:\n result = 01000100\nFinal: \\boxed{01000100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 59,84 -> 5984\n 71,95 -> 7195\n 68,86 -> 6886\nApply to: 63,52\n### Reasoning:\n<|cot_start|>Examples:\n 59,84 -> 5984\n 71,95 -> 7195\n 68,86 -> 6886\nCheck both candidate forms:\n concat(59,84)=5984 rev_concat(59,84)=8459 target=5984 concat\n concat(71,95)=7195 rev_concat(71,95)=9571 target=7195 concat\n concat(68,86)=6886 rev_concat(68,86)=8668 target=6886 concat\nConclude operator: concat.\nApply to (63, 52): answer = 6352\nFinal: \\boxed{6352}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00100011 -> 00000011\n 00110010 -> 00000010\n 01011010 -> 00001010\nApply to: 00010000\n### Reasoning:\n<|cot_start|>Given examples:\n 00100011 -> 00000011\n 00110010 -> 00000010\n 01011010 -> 00001010\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,0,0\n bit 1: 0,0,1 -> 0,0,0\n bit 2: 1,1,0 -> 0,0,0\n bit 3: 0,1,1 -> 0,0,0\n bit 4: 0,0,1 -> 0,0,1\n bit 5: 0,0,0 -> 0,0,0\n bit 6: 1,1,1 -> 1,1,1\n bit 7: 1,0,0 -> 1,0,0\nDeduce rule: and 0x0F.\nApply to 00010000:\n result = 00000000\nFinal: \\boxed{00000000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01010101 -> 10101010\n 11100001 -> 11110000\n 00001101 -> 10000110\nApply to: 11000001\n### Reasoning:\n<|cot_start|>Given examples:\n 01010101 -> 10101010\n 11100001 -> 11110000\n 00001101 -> 10000110\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 1,1,1\n bit 1: 1,1,0 -> 0,1,0\n bit 2: 0,1,0 -> 1,1,0\n bit 3: 1,0,0 -> 0,1,0\n bit 4: 0,0,1 -> 1,0,0\n bit 5: 1,0,1 -> 0,0,1\n bit 6: 0,0,0 -> 1,0,1\n bit 7: 1,1,1 -> 0,0,0\nDeduce rule: rotate right 1.\nApply to 11000001:\n result = 11100000\nFinal: \\boxed{11100000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dzzinro vsce odspp phndqe\n### Reasoning:\n<|cot_start|>Cipher text: dzzinro vsce odspp phndqe\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dzzinro' candidate='alice' length-match=False\n cipher='dzzinro' candidate='rabbit' length-match=False\n cipher='dzzinro' candidate='hatter' length-match=False\n cipher='dzzinro' candidate='cheshire' length-match=False\n cipher='dzzinro' candidate='queen' length-match=False\n cipher='dzzinro' candidate='tea' length-match=False\n cipher='dzzinro' candidate='cake' length-match=False\n cipher='dzzinro' candidate='garden' length-match=False\n cipher='dzzinro' candidate='mushroom' length-match=False\n cipher='dzzinro' candidate='card' length-match=False\n cipher='dzzinro' candidate='card' length-match=False\n cipher='dzzinro' candidate='wonderland' length-match=False\n cipher='dzzinro' candidate='white' length-match=False\n cipher='dzzinro' candidate='down' length-match=False\n cipher='dzzinro' candidate='smile' length-match=False\n cipher='dzzinro' candidate='smiled' length-match=False\n cipher='dzzinro' candidate='looking' length-match=True <- assign\n cipher='dzzinro' candidate='glass' length-match=False\n cipher='dzzinro' candidate='march' length-match=False\n cipher='dzzinro' candidate='hare' length-match=False\n cipher='dzzinro' candidate='dormouse' length-match=False\n cipher='vsce' candidate='alice' length-match=False\n cipher='vsce' candidate='rabbit' length-match=False\n cipher='vsce' candidate='hatter' length-match=False\n cipher='vsce' candidate='cheshire' length-match=False\n cipher='vsce' candidate='queen' length-match=False\n cipher='vsce' candidate='tea' length-match=False\n cipher='vsce' candidate='cake' length-match=True\n cipher='vsce' candidate='garden' length-match=False\n cipher='vsce' candidate='mushroom' length-match=False\n cipher='vsce' candidate='card' length-match=True <- assign\n cipher='vsce' candidate='card' length-match=True <- assign\n cipher='vsce' candidate='wonderland' length-match=False\n cipher='vsce' candidate='white' length-match=False\n cipher='vsce' candidate='down' length-match=True\n cipher='vsce' candidate='smile' length-match=False\n cipher='vsce' candidate='smiled' length-match=False\n cipher='vsce' candidate='looking' length-match=False\n cipher='vsce' candidate='glass' length-match=False\n cipher='vsce' candidate='march' length-match=False\n cipher='vsce' candidate='hare' length-match=True\n cipher='vsce' candidate='dormouse' length-match=False\n cipher='odspp' candidate='alice' length-match=True\n cipher='odspp' candidate='rabbit' length-match=False\n cipher='odspp' candidate='hatter' length-match=False\n cipher='odspp' candidate='cheshire' length-match=False\n cipher='odspp' candidate='queen' length-match=True\n cipher='odspp' candidate='tea' length-match=False\n cipher='odspp' candidate='cake' length-match=False\n cipher='odspp' candidate='garden' length-match=False\n cipher='odspp' candidate='mushroom' length-match=False\n cipher='odspp' candidate='card' length-match=False\n cipher='odspp' candidate='card' length-match=False\n cipher='odspp' candidate='wonderland' length-match=False\n cipher='odspp' candidate='white' length-match=True\n cipher='odspp' candidate='down' length-match=False\n cipher='odspp' candidate='smile' length-match=True\n cipher='odspp' candidate='smiled' length-match=False\n cipher='odspp' candidate='looking' length-match=False\n cipher='odspp' candidate='glass' length-match=True <- assign\n cipher='odspp' candidate='march' length-match=True\n cipher='odspp' candidate='hare' length-match=False\n cipher='odspp' candidate='dormouse' length-match=False\n cipher='phndqe' candidate='alice' length-match=False\n cipher='phndqe' candidate='rabbit' length-match=True\n cipher='phndqe' candidate='hatter' length-match=True\n cipher='phndqe' candidate='cheshire' length-match=False\n cipher='phndqe' candidate='queen' length-match=False\n cipher='phndqe' candidate='tea' length-match=False\n cipher='phndqe' candidate='cake' length-match=False\n cipher='phndqe' candidate='garden' length-match=True\n cipher='phndqe' candidate='mushroom' length-match=False\n cipher='phndqe' candidate='card' length-match=False\n cipher='phndqe' candidate='card' length-match=False\n cipher='phndqe' candidate='wonderland' length-match=False\n cipher='phndqe' candidate='white' length-match=False\n cipher='phndqe' candidate='down' length-match=False\n cipher='phndqe' candidate='smile' length-match=False\n cipher='phndqe' candidate='smiled' length-match=True <- assign\n cipher='phndqe' candidate='looking' length-match=False\n cipher='phndqe' candidate='glass' length-match=False\n cipher='phndqe' candidate='march' length-match=False\n cipher='phndqe' candidate='hare' length-match=False\n cipher='phndqe' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking card glass smiled\nFinal: \\boxed{looking card glass smiled}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 42,56 -> 4256\n 52,56 -> 5256\n 17,59 -> 1759\nApply to: 95,53\n### Reasoning:\n<|cot_start|>Examples:\n 42,56 -> 4256\n 52,56 -> 5256\n 17,59 -> 1759\nCheck both candidate forms:\n concat(42,56)=4256 rev_concat(42,56)=5642 target=4256 concat\n concat(52,56)=5256 rev_concat(52,56)=5652 target=5256 concat\n concat(17,59)=1759 rev_concat(17,59)=5917 target=1759 concat\nConclude operator: concat.\nApply to (95, 53): answer = 9553\nFinal: \\boxed{9553}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n V = 5 -> 20 + 5 = 25\n I = 1 -> 25 + 1 = 26\n I = 1 -> 26 + 1 = 27\n I = 1 -> 27 + 1 = 28\nFinal: \\boxed{28}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n mofnuwwm bhuydj bxhff gwjyduxhjy\n### Reasoning:\n<|cot_start|>Cipher text: mofnuwwm bhuydj bxhff gwjyduxhjy\nTry each candidate Wonderland word against each ciphertext word:\n cipher='mofnuwwm' candidate='alice' length-match=False\n cipher='mofnuwwm' candidate='rabbit' length-match=False\n cipher='mofnuwwm' candidate='hatter' length-match=False\n cipher='mofnuwwm' candidate='cheshire' length-match=True\n cipher='mofnuwwm' candidate='queen' length-match=False\n cipher='mofnuwwm' candidate='tea' length-match=False\n cipher='mofnuwwm' candidate='cake' length-match=False\n cipher='mofnuwwm' candidate='garden' length-match=False\n cipher='mofnuwwm' candidate='mushroom' length-match=True <- assign\n cipher='mofnuwwm' candidate='card' length-match=False\n cipher='mofnuwwm' candidate='card' length-match=False\n cipher='mofnuwwm' candidate='wonderland' length-match=False\n cipher='mofnuwwm' candidate='white' length-match=False\n cipher='mofnuwwm' candidate='down' length-match=False\n cipher='mofnuwwm' candidate='smile' length-match=False\n cipher='mofnuwwm' candidate='smiled' length-match=False\n cipher='mofnuwwm' candidate='looking' length-match=False\n cipher='mofnuwwm' candidate='glass' length-match=False\n cipher='mofnuwwm' candidate='march' length-match=False\n cipher='mofnuwwm' candidate='hare' length-match=False\n cipher='mofnuwwm' candidate='dormouse' length-match=True\n cipher='bhuydj' candidate='alice' length-match=False\n cipher='bhuydj' candidate='rabbit' length-match=True\n cipher='bhuydj' candidate='hatter' length-match=True\n cipher='bhuydj' candidate='cheshire' length-match=False\n cipher='bhuydj' candidate='queen' length-match=False\n cipher='bhuydj' candidate='tea' length-match=False\n cipher='bhuydj' candidate='cake' length-match=False\n cipher='bhuydj' candidate='garden' length-match=True <- assign\n cipher='bhuydj' candidate='mushroom' length-match=False\n cipher='bhuydj' candidate='card' length-match=False\n cipher='bhuydj' candidate='card' length-match=False\n cipher='bhuydj' candidate='wonderland' length-match=False\n cipher='bhuydj' candidate='white' length-match=False\n cipher='bhuydj' candidate='down' length-match=False\n cipher='bhuydj' candidate='smile' length-match=False\n cipher='bhuydj' candidate='smiled' length-match=True\n cipher='bhuydj' candidate='looking' length-match=False\n cipher='bhuydj' candidate='glass' length-match=False\n cipher='bhuydj' candidate='march' length-match=False\n cipher='bhuydj' candidate='hare' length-match=False\n cipher='bhuydj' candidate='dormouse' length-match=False\n cipher='bxhff' candidate='alice' length-match=True\n cipher='bxhff' candidate='rabbit' length-match=False\n cipher='bxhff' candidate='hatter' length-match=False\n cipher='bxhff' candidate='cheshire' length-match=False\n cipher='bxhff' candidate='queen' length-match=True\n cipher='bxhff' candidate='tea' length-match=False\n cipher='bxhff' candidate='cake' length-match=False\n cipher='bxhff' candidate='garden' length-match=False\n cipher='bxhff' candidate='mushroom' length-match=False\n cipher='bxhff' candidate='card' length-match=False\n cipher='bxhff' candidate='card' length-match=False\n cipher='bxhff' candidate='wonderland' length-match=False\n cipher='bxhff' candidate='white' length-match=True\n cipher='bxhff' candidate='down' length-match=False\n cipher='bxhff' candidate='smile' length-match=True\n cipher='bxhff' candidate='smiled' length-match=False\n cipher='bxhff' candidate='looking' length-match=False\n cipher='bxhff' candidate='glass' length-match=True <- assign\n cipher='bxhff' candidate='march' length-match=True\n cipher='bxhff' candidate='hare' length-match=False\n cipher='bxhff' candidate='dormouse' length-match=False\n cipher='gwjyduxhjy' candidate='alice' length-match=False\n cipher='gwjyduxhjy' candidate='rabbit' length-match=False\n cipher='gwjyduxhjy' candidate='hatter' length-match=False\n cipher='gwjyduxhjy' candidate='cheshire' length-match=False\n cipher='gwjyduxhjy' candidate='queen' length-match=False\n cipher='gwjyduxhjy' candidate='tea' length-match=False\n cipher='gwjyduxhjy' candidate='cake' length-match=False\n cipher='gwjyduxhjy' candidate='garden' length-match=False\n cipher='gwjyduxhjy' candidate='mushroom' length-match=False\n cipher='gwjyduxhjy' candidate='card' length-match=False\n cipher='gwjyduxhjy' candidate='card' length-match=False\n cipher='gwjyduxhjy' candidate='wonderland' length-match=True <- assign\n cipher='gwjyduxhjy' candidate='white' length-match=False\n cipher='gwjyduxhjy' candidate='down' length-match=False\n cipher='gwjyduxhjy' candidate='smile' length-match=False\n cipher='gwjyduxhjy' candidate='smiled' length-match=False\n cipher='gwjyduxhjy' candidate='looking' length-match=False\n cipher='gwjyduxhjy' candidate='glass' length-match=False\n cipher='gwjyduxhjy' candidate='march' length-match=False\n cipher='gwjyduxhjy' candidate='hare' length-match=False\n cipher='gwjyduxhjy' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n mushroom garden glass wonderland\nFinal: \\boxed{mushroom garden glass wonderland}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n osrc ofvdfqrv hppyqmi osyv\n### Reasoning:\n<|cot_start|>Cipher text: osrc ofvdfqrv hppyqmi osyv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='osrc' candidate='alice' length-match=False\n cipher='osrc' candidate='rabbit' length-match=False\n cipher='osrc' candidate='hatter' length-match=False\n cipher='osrc' candidate='cheshire' length-match=False\n cipher='osrc' candidate='queen' length-match=False\n cipher='osrc' candidate='tea' length-match=False\n cipher='osrc' candidate='cake' length-match=True\n cipher='osrc' candidate='garden' length-match=False\n cipher='osrc' candidate='mushroom' length-match=False\n cipher='osrc' candidate='card' length-match=True <- assign\n cipher='osrc' candidate='card' length-match=True <- assign\n cipher='osrc' candidate='wonderland' length-match=False\n cipher='osrc' candidate='white' length-match=False\n cipher='osrc' candidate='down' length-match=True\n cipher='osrc' candidate='smile' length-match=False\n cipher='osrc' candidate='smiled' length-match=False\n cipher='osrc' candidate='looking' length-match=False\n cipher='osrc' candidate='glass' length-match=False\n cipher='osrc' candidate='march' length-match=False\n cipher='osrc' candidate='hare' length-match=True\n cipher='osrc' candidate='dormouse' length-match=False\n cipher='ofvdfqrv' candidate='alice' length-match=False\n cipher='ofvdfqrv' candidate='rabbit' length-match=False\n cipher='ofvdfqrv' candidate='hatter' length-match=False\n cipher='ofvdfqrv' candidate='cheshire' length-match=True <- assign\n cipher='ofvdfqrv' candidate='queen' length-match=False\n cipher='ofvdfqrv' candidate='tea' length-match=False\n cipher='ofvdfqrv' candidate='cake' length-match=False\n cipher='ofvdfqrv' candidate='garden' length-match=False\n cipher='ofvdfqrv' candidate='mushroom' length-match=True\n cipher='ofvdfqrv' candidate='card' length-match=False\n cipher='ofvdfqrv' candidate='card' length-match=False\n cipher='ofvdfqrv' candidate='wonderland' length-match=False\n cipher='ofvdfqrv' candidate='white' length-match=False\n cipher='ofvdfqrv' candidate='down' length-match=False\n cipher='ofvdfqrv' candidate='smile' length-match=False\n cipher='ofvdfqrv' candidate='smiled' length-match=False\n cipher='ofvdfqrv' candidate='looking' length-match=False\n cipher='ofvdfqrv' candidate='glass' length-match=False\n cipher='ofvdfqrv' candidate='march' length-match=False\n cipher='ofvdfqrv' candidate='hare' length-match=False\n cipher='ofvdfqrv' candidate='dormouse' length-match=True\n cipher='hppyqmi' candidate='alice' length-match=False\n cipher='hppyqmi' candidate='rabbit' length-match=False\n cipher='hppyqmi' candidate='hatter' length-match=False\n cipher='hppyqmi' candidate='cheshire' length-match=False\n cipher='hppyqmi' candidate='queen' length-match=False\n cipher='hppyqmi' candidate='tea' length-match=False\n cipher='hppyqmi' candidate='cake' length-match=False\n cipher='hppyqmi' candidate='garden' length-match=False\n cipher='hppyqmi' candidate='mushroom' length-match=False\n cipher='hppyqmi' candidate='card' length-match=False\n cipher='hppyqmi' candidate='card' length-match=False\n cipher='hppyqmi' candidate='wonderland' length-match=False\n cipher='hppyqmi' candidate='white' length-match=False\n cipher='hppyqmi' candidate='down' length-match=False\n cipher='hppyqmi' candidate='smile' length-match=False\n cipher='hppyqmi' candidate='smiled' length-match=False\n cipher='hppyqmi' candidate='looking' length-match=True <- assign\n cipher='hppyqmi' candidate='glass' length-match=False\n cipher='hppyqmi' candidate='march' length-match=False\n cipher='hppyqmi' candidate='hare' length-match=False\n cipher='hppyqmi' candidate='dormouse' length-match=False\n cipher='osyv' candidate='alice' length-match=False\n cipher='osyv' candidate='rabbit' length-match=False\n cipher='osyv' candidate='hatter' length-match=False\n cipher='osyv' candidate='cheshire' length-match=False\n cipher='osyv' candidate='queen' length-match=False\n cipher='osyv' candidate='tea' length-match=False\n cipher='osyv' candidate='cake' length-match=True <- assign\n cipher='osyv' candidate='garden' length-match=False\n cipher='osyv' candidate='mushroom' length-match=False\n cipher='osyv' candidate='card' length-match=True\n cipher='osyv' candidate='card' length-match=True\n cipher='osyv' candidate='wonderland' length-match=False\n cipher='osyv' candidate='white' length-match=False\n cipher='osyv' candidate='down' length-match=True\n cipher='osyv' candidate='smile' length-match=False\n cipher='osyv' candidate='smiled' length-match=False\n cipher='osyv' candidate='looking' length-match=False\n cipher='osyv' candidate='glass' length-match=False\n cipher='osyv' candidate='march' length-match=False\n cipher='osyv' candidate='hare' length-match=True\n cipher='osyv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card cheshire looking cake\nFinal: \\boxed{card cheshire looking cake}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n wukc mbbqnrs umnwv xuhhvk\n### Reasoning:\n<|cot_start|>Cipher text: wukc mbbqnrs umnwv xuhhvk\nTry each candidate Wonderland word against each ciphertext word:\n cipher='wukc' candidate='alice' length-match=False\n cipher='wukc' candidate='rabbit' length-match=False\n cipher='wukc' candidate='hatter' length-match=False\n cipher='wukc' candidate='cheshire' length-match=False\n cipher='wukc' candidate='queen' length-match=False\n cipher='wukc' candidate='tea' length-match=False\n cipher='wukc' candidate='cake' length-match=True\n cipher='wukc' candidate='garden' length-match=False\n cipher='wukc' candidate='mushroom' length-match=False\n cipher='wukc' candidate='card' length-match=True <- assign\n cipher='wukc' candidate='card' length-match=True <- assign\n cipher='wukc' candidate='wonderland' length-match=False\n cipher='wukc' candidate='white' length-match=False\n cipher='wukc' candidate='down' length-match=True\n cipher='wukc' candidate='smile' length-match=False\n cipher='wukc' candidate='smiled' length-match=False\n cipher='wukc' candidate='looking' length-match=False\n cipher='wukc' candidate='glass' length-match=False\n cipher='wukc' candidate='march' length-match=False\n cipher='wukc' candidate='hare' length-match=True\n cipher='wukc' candidate='dormouse' length-match=False\n cipher='mbbqnrs' candidate='alice' length-match=False\n cipher='mbbqnrs' candidate='rabbit' length-match=False\n cipher='mbbqnrs' candidate='hatter' length-match=False\n cipher='mbbqnrs' candidate='cheshire' length-match=False\n cipher='mbbqnrs' candidate='queen' length-match=False\n cipher='mbbqnrs' candidate='tea' length-match=False\n cipher='mbbqnrs' candidate='cake' length-match=False\n cipher='mbbqnrs' candidate='garden' length-match=False\n cipher='mbbqnrs' candidate='mushroom' length-match=False\n cipher='mbbqnrs' candidate='card' length-match=False\n cipher='mbbqnrs' candidate='card' length-match=False\n cipher='mbbqnrs' candidate='wonderland' length-match=False\n cipher='mbbqnrs' candidate='white' length-match=False\n cipher='mbbqnrs' candidate='down' length-match=False\n cipher='mbbqnrs' candidate='smile' length-match=False\n cipher='mbbqnrs' candidate='smiled' length-match=False\n cipher='mbbqnrs' candidate='looking' length-match=True <- assign\n cipher='mbbqnrs' candidate='glass' length-match=False\n cipher='mbbqnrs' candidate='march' length-match=False\n cipher='mbbqnrs' candidate='hare' length-match=False\n cipher='mbbqnrs' candidate='dormouse' length-match=False\n cipher='umnwv' candidate='alice' length-match=True <- assign\n cipher='umnwv' candidate='rabbit' length-match=False\n cipher='umnwv' candidate='hatter' length-match=False\n cipher='umnwv' candidate='cheshire' length-match=False\n cipher='umnwv' candidate='queen' length-match=True\n cipher='umnwv' candidate='tea' length-match=False\n cipher='umnwv' candidate='cake' length-match=False\n cipher='umnwv' candidate='garden' length-match=False\n cipher='umnwv' candidate='mushroom' length-match=False\n cipher='umnwv' candidate='card' length-match=False\n cipher='umnwv' candidate='card' length-match=False\n cipher='umnwv' candidate='wonderland' length-match=False\n cipher='umnwv' candidate='white' length-match=True\n cipher='umnwv' candidate='down' length-match=False\n cipher='umnwv' candidate='smile' length-match=True\n cipher='umnwv' candidate='smiled' length-match=False\n cipher='umnwv' candidate='looking' length-match=False\n cipher='umnwv' candidate='glass' length-match=True\n cipher='umnwv' candidate='march' length-match=True\n cipher='umnwv' candidate='hare' length-match=False\n cipher='umnwv' candidate='dormouse' length-match=False\n cipher='xuhhvk' candidate='alice' length-match=False\n cipher='xuhhvk' candidate='rabbit' length-match=True\n cipher='xuhhvk' candidate='hatter' length-match=True <- assign\n cipher='xuhhvk' candidate='cheshire' length-match=False\n cipher='xuhhvk' candidate='queen' length-match=False\n cipher='xuhhvk' candidate='tea' length-match=False\n cipher='xuhhvk' candidate='cake' length-match=False\n cipher='xuhhvk' candidate='garden' length-match=True\n cipher='xuhhvk' candidate='mushroom' length-match=False\n cipher='xuhhvk' candidate='card' length-match=False\n cipher='xuhhvk' candidate='card' length-match=False\n cipher='xuhhvk' candidate='wonderland' length-match=False\n cipher='xuhhvk' candidate='white' length-match=False\n cipher='xuhhvk' candidate='down' length-match=False\n cipher='xuhhvk' candidate='smile' length-match=False\n cipher='xuhhvk' candidate='smiled' length-match=True\n cipher='xuhhvk' candidate='looking' length-match=False\n cipher='xuhhvk' candidate='glass' length-match=False\n cipher='xuhhvk' candidate='march' length-match=False\n cipher='xuhhvk' candidate='hare' length-match=False\n cipher='xuhhvk' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card looking alice hatter\nFinal: \\boxed{card looking alice hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 61 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 61 kilometres = 61 * 1000 metres.\nCompute step by step:\n 6 * 10^1 * 1000 = 60000\n running total = 60000\n 1 * 10^0 * 1000 = 1000\n running total = 61000\nFinal: \\boxed{61000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 13 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 13 minutes = 13 * 60 seconds.\nCompute step by step:\n 1 * 10^1 * 60 = 600\n running total = 600\n 3 * 10^0 * 60 = 180\n running total = 780\nFinal: \\boxed{780}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n silm mnlondjv kpijj silm\n### Reasoning:\n<|cot_start|>Cipher text: silm mnlondjv kpijj silm\nTry each candidate Wonderland word against each ciphertext word:\n cipher='silm' candidate='alice' length-match=False\n cipher='silm' candidate='rabbit' length-match=False\n cipher='silm' candidate='hatter' length-match=False\n cipher='silm' candidate='cheshire' length-match=False\n cipher='silm' candidate='queen' length-match=False\n cipher='silm' candidate='tea' length-match=False\n cipher='silm' candidate='cake' length-match=True\n cipher='silm' candidate='garden' length-match=False\n cipher='silm' candidate='mushroom' length-match=False\n cipher='silm' candidate='card' length-match=True <- assign\n cipher='silm' candidate='card' length-match=True <- assign\n cipher='silm' candidate='wonderland' length-match=False\n cipher='silm' candidate='white' length-match=False\n cipher='silm' candidate='down' length-match=True\n cipher='silm' candidate='smile' length-match=False\n cipher='silm' candidate='smiled' length-match=False\n cipher='silm' candidate='looking' length-match=False\n cipher='silm' candidate='glass' length-match=False\n cipher='silm' candidate='march' length-match=False\n cipher='silm' candidate='hare' length-match=True\n cipher='silm' candidate='dormouse' length-match=False\n cipher='mnlondjv' candidate='alice' length-match=False\n cipher='mnlondjv' candidate='rabbit' length-match=False\n cipher='mnlondjv' candidate='hatter' length-match=False\n cipher='mnlondjv' candidate='cheshire' length-match=True\n cipher='mnlondjv' candidate='queen' length-match=False\n cipher='mnlondjv' candidate='tea' length-match=False\n cipher='mnlondjv' candidate='cake' length-match=False\n cipher='mnlondjv' candidate='garden' length-match=False\n cipher='mnlondjv' candidate='mushroom' length-match=True\n cipher='mnlondjv' candidate='card' length-match=False\n cipher='mnlondjv' candidate='card' length-match=False\n cipher='mnlondjv' candidate='wonderland' length-match=False\n cipher='mnlondjv' candidate='white' length-match=False\n cipher='mnlondjv' candidate='down' length-match=False\n cipher='mnlondjv' candidate='smile' length-match=False\n cipher='mnlondjv' candidate='smiled' length-match=False\n cipher='mnlondjv' candidate='looking' length-match=False\n cipher='mnlondjv' candidate='glass' length-match=False\n cipher='mnlondjv' candidate='march' length-match=False\n cipher='mnlondjv' candidate='hare' length-match=False\n cipher='mnlondjv' candidate='dormouse' length-match=True <- assign\n cipher='kpijj' candidate='alice' length-match=True\n cipher='kpijj' candidate='rabbit' length-match=False\n cipher='kpijj' candidate='hatter' length-match=False\n cipher='kpijj' candidate='cheshire' length-match=False\n cipher='kpijj' candidate='queen' length-match=True\n cipher='kpijj' candidate='tea' length-match=False\n cipher='kpijj' candidate='cake' length-match=False\n cipher='kpijj' candidate='garden' length-match=False\n cipher='kpijj' candidate='mushroom' length-match=False\n cipher='kpijj' candidate='card' length-match=False\n cipher='kpijj' candidate='card' length-match=False\n cipher='kpijj' candidate='wonderland' length-match=False\n cipher='kpijj' candidate='white' length-match=True\n cipher='kpijj' candidate='down' length-match=False\n cipher='kpijj' candidate='smile' length-match=True\n cipher='kpijj' candidate='smiled' length-match=False\n cipher='kpijj' candidate='looking' length-match=False\n cipher='kpijj' candidate='glass' length-match=True <- assign\n cipher='kpijj' candidate='march' length-match=True\n cipher='kpijj' candidate='hare' length-match=False\n cipher='kpijj' candidate='dormouse' length-match=False\n cipher='silm' candidate='alice' length-match=False\n cipher='silm' candidate='rabbit' length-match=False\n cipher='silm' candidate='hatter' length-match=False\n cipher='silm' candidate='cheshire' length-match=False\n cipher='silm' candidate='queen' length-match=False\n cipher='silm' candidate='tea' length-match=False\n cipher='silm' candidate='cake' length-match=True\n cipher='silm' candidate='garden' length-match=False\n cipher='silm' candidate='mushroom' length-match=False\n cipher='silm' candidate='card' length-match=True <- assign\n cipher='silm' candidate='card' length-match=True <- assign\n cipher='silm' candidate='wonderland' length-match=False\n cipher='silm' candidate='white' length-match=False\n cipher='silm' candidate='down' length-match=True\n cipher='silm' candidate='smile' length-match=False\n cipher='silm' candidate='smiled' length-match=False\n cipher='silm' candidate='looking' length-match=False\n cipher='silm' candidate='glass' length-match=False\n cipher='silm' candidate='march' length-match=False\n cipher='silm' candidate='hare' length-match=True\n cipher='silm' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card dormouse glass card\nFinal: \\boxed{card dormouse glass card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 85 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 85 days = 85 * 24 hours.\nCompute step by step:\n 8 * 10^1 * 24 = 1920\n running total = 1920\n 5 * 10^0 * 24 = 120\n running total = 2040\nFinal: \\boxed{2040}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 79 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 79 kilometres = 79 * 1000 metres.\nCompute step by step:\n 7 * 10^1 * 1000 = 70000\n running total = 70000\n 9 * 10^0 * 1000 = 9000\n running total = 79000\nFinal: \\boxed{79000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 34 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 34 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 4 * 10^0 * 981 = 3924\n running total = 33354\nSo F = 33354 centiNewtons = 333.54 N.\nFinal: \\boxed{333.54}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 50,76 -> 3926\n 36,26 -> 998\n 88,48 -> 4360\nApply to: 80,47\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 50,76: '+' gives 126; target=3926 no\n 50,76: '-' gives 26; target=3926 no\n 50,76: '*' gives 3800; target=3926 no\n 50,76: 'concat' gives 5076; target=3926 no\n 50,76: 'rev_concat' gives 7650; target=3926 no\n 50,76: 'max*min+sum' gives 3926; target=3926 MATCH\n 50,76: 'digitsum2' gives 324; target=3926 no\n 36,26: '+' gives 62; target=998 no\n 36,26: '-' gives 10; target=998 no\n 36,26: '*' gives 936; target=998 no\n 36,26: 'concat' gives 3626; target=998 no\n 36,26: 'rev_concat' gives 2636; target=998 no\n 36,26: 'max*min+sum' gives 998; target=998 MATCH\n 36,26: 'digitsum2' gives 289; target=998 no\n 88,48: '+' gives 136; target=4360 no\n 88,48: '-' gives 40; target=4360 no\n 88,48: '*' gives 4224; target=4360 no\n 88,48: 'concat' gives 8848; target=4360 no\n 88,48: 'rev_concat' gives 4888; target=4360 no\n 88,48: 'max*min+sum' gives 4360; target=4360 MATCH\n 88,48: 'digitsum2' gives 784; target=4360 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (80, 47):\n result = 3887\nFinal: \\boxed{3887}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 40 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 40 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 0 * 10^0 * 981 = 0\n running total = 39240\nSo F = 39240 centiNewtons = 392.40 N.\nFinal: \\boxed{392.40}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 13 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 13 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 3 * 10^0 * 981 = 2943\n running total = 12753\nSo F = 12753 centiNewtons = 127.53 N.\nFinal: \\boxed{127.53}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 28,15 -> 2815\n 20,14 -> 2014\n 91,55 -> 9155\nApply to: 36,62\n### Reasoning:\n<|cot_start|>Examples:\n 28,15 -> 2815\n 20,14 -> 2014\n 91,55 -> 9155\nCheck both candidate forms:\n concat(28,15)=2815 rev_concat(28,15)=1528 target=2815 concat\n concat(20,14)=2014 rev_concat(20,14)=1420 target=2014 concat\n concat(91,55)=9155 rev_concat(91,55)=5591 target=9155 concat\nConclude operator: concat.\nApply to (36, 62): answer = 3662\nFinal: \\boxed{3662}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00100010 -> 00000010\n 00011110 -> 00001110\n 10010110 -> 00000110\nApply to: 01110000\n### Reasoning:\n<|cot_start|>Given examples:\n 00100010 -> 00000010\n 00011110 -> 00001110\n 10010110 -> 00000110\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 0,0,0\n bit 1: 0,0,0 -> 0,0,0\n bit 2: 1,0,0 -> 0,0,0\n bit 3: 0,1,1 -> 0,0,0\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 1,1,1 -> 1,1,1\n bit 7: 0,0,0 -> 0,0,0\nDeduce rule: and 0x0F.\nApply to 01110000:\n result = 00000000\nFinal: \\boxed{00000000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n etvy otgy xsyyu eoyzopgy\n### Reasoning:\n<|cot_start|>Cipher text: etvy otgy xsyyu eoyzopgy\nTry each candidate Wonderland word against each ciphertext word:\n cipher='etvy' candidate='alice' length-match=False\n cipher='etvy' candidate='rabbit' length-match=False\n cipher='etvy' candidate='hatter' length-match=False\n cipher='etvy' candidate='cheshire' length-match=False\n cipher='etvy' candidate='queen' length-match=False\n cipher='etvy' candidate='tea' length-match=False\n cipher='etvy' candidate='cake' length-match=True <- assign\n cipher='etvy' candidate='garden' length-match=False\n cipher='etvy' candidate='mushroom' length-match=False\n cipher='etvy' candidate='card' length-match=True\n cipher='etvy' candidate='card' length-match=True\n cipher='etvy' candidate='wonderland' length-match=False\n cipher='etvy' candidate='white' length-match=False\n cipher='etvy' candidate='down' length-match=True\n cipher='etvy' candidate='smile' length-match=False\n cipher='etvy' candidate='smiled' length-match=False\n cipher='etvy' candidate='looking' length-match=False\n cipher='etvy' candidate='glass' length-match=False\n cipher='etvy' candidate='march' length-match=False\n cipher='etvy' candidate='hare' length-match=True\n cipher='etvy' candidate='dormouse' length-match=False\n cipher='otgy' candidate='alice' length-match=False\n cipher='otgy' candidate='rabbit' length-match=False\n cipher='otgy' candidate='hatter' length-match=False\n cipher='otgy' candidate='cheshire' length-match=False\n cipher='otgy' candidate='queen' length-match=False\n cipher='otgy' candidate='tea' length-match=False\n cipher='otgy' candidate='cake' length-match=True\n cipher='otgy' candidate='garden' length-match=False\n cipher='otgy' candidate='mushroom' length-match=False\n cipher='otgy' candidate='card' length-match=True\n cipher='otgy' candidate='card' length-match=True\n cipher='otgy' candidate='wonderland' length-match=False\n cipher='otgy' candidate='white' length-match=False\n cipher='otgy' candidate='down' length-match=True\n cipher='otgy' candidate='smile' length-match=False\n cipher='otgy' candidate='smiled' length-match=False\n cipher='otgy' candidate='looking' length-match=False\n cipher='otgy' candidate='glass' length-match=False\n cipher='otgy' candidate='march' length-match=False\n cipher='otgy' candidate='hare' length-match=True <- assign\n cipher='otgy' candidate='dormouse' length-match=False\n cipher='xsyyu' candidate='alice' length-match=True\n cipher='xsyyu' candidate='rabbit' length-match=False\n cipher='xsyyu' candidate='hatter' length-match=False\n cipher='xsyyu' candidate='cheshire' length-match=False\n cipher='xsyyu' candidate='queen' length-match=True <- assign\n cipher='xsyyu' candidate='tea' length-match=False\n cipher='xsyyu' candidate='cake' length-match=False\n cipher='xsyyu' candidate='garden' length-match=False\n cipher='xsyyu' candidate='mushroom' length-match=False\n cipher='xsyyu' candidate='card' length-match=False\n cipher='xsyyu' candidate='card' length-match=False\n cipher='xsyyu' candidate='wonderland' length-match=False\n cipher='xsyyu' candidate='white' length-match=True\n cipher='xsyyu' candidate='down' length-match=False\n cipher='xsyyu' candidate='smile' length-match=True\n cipher='xsyyu' candidate='smiled' length-match=False\n cipher='xsyyu' candidate='looking' length-match=False\n cipher='xsyyu' candidate='glass' length-match=True\n cipher='xsyyu' candidate='march' length-match=True\n cipher='xsyyu' candidate='hare' length-match=False\n cipher='xsyyu' candidate='dormouse' length-match=False\n cipher='eoyzopgy' candidate='alice' length-match=False\n cipher='eoyzopgy' candidate='rabbit' length-match=False\n cipher='eoyzopgy' candidate='hatter' length-match=False\n cipher='eoyzopgy' candidate='cheshire' length-match=True <- assign\n cipher='eoyzopgy' candidate='queen' length-match=False\n cipher='eoyzopgy' candidate='tea' length-match=False\n cipher='eoyzopgy' candidate='cake' length-match=False\n cipher='eoyzopgy' candidate='garden' length-match=False\n cipher='eoyzopgy' candidate='mushroom' length-match=True\n cipher='eoyzopgy' candidate='card' length-match=False\n cipher='eoyzopgy' candidate='card' length-match=False\n cipher='eoyzopgy' candidate='wonderland' length-match=False\n cipher='eoyzopgy' candidate='white' length-match=False\n cipher='eoyzopgy' candidate='down' length-match=False\n cipher='eoyzopgy' candidate='smile' length-match=False\n cipher='eoyzopgy' candidate='smiled' length-match=False\n cipher='eoyzopgy' candidate='looking' length-match=False\n cipher='eoyzopgy' candidate='glass' length-match=False\n cipher='eoyzopgy' candidate='march' length-match=False\n cipher='eoyzopgy' candidate='hare' length-match=False\n cipher='eoyzopgy' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n cake hare queen cheshire\nFinal: \\boxed{cake hare queen cheshire}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 37,90 -> 9037\n 81,61 -> 6181\n 51,45 -> 4551\nApply to: 39,86\n### Reasoning:\n<|cot_start|>Examples:\n 37,90 -> 9037\n 81,61 -> 6181\n 51,45 -> 4551\nCheck both candidate forms:\n concat(37,90)=3790 rev_concat(37,90)=9037 target=9037 rev_concat\n concat(81,61)=8161 rev_concat(81,61)=6181 target=6181 rev_concat\n concat(51,45)=5145 rev_concat(51,45)=4551 target=4551 rev_concat\nConclude operator: rev_concat.\nApply to (39, 86): answer = 8639\nFinal: \\boxed{8639}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 36 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 36 minutes = 36 * 60 seconds.\nCompute step by step:\n 3 * 10^1 * 60 = 1800\n running total = 1800\n 6 * 10^0 * 60 = 360\n running total = 2160\nFinal: \\boxed{2160}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 59 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 59 kilometres = 59 * 1000 metres.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 9 * 10^0 * 1000 = 9000\n running total = 59000\nFinal: \\boxed{59000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n feynau ehfpldde udledhfa trqa\n### Reasoning:\n<|cot_start|>Cipher text: feynau ehfpldde udledhfa trqa\nTry each candidate Wonderland word against each ciphertext word:\n cipher='feynau' candidate='alice' length-match=False\n cipher='feynau' candidate='rabbit' length-match=True\n cipher='feynau' candidate='hatter' length-match=True\n cipher='feynau' candidate='cheshire' length-match=False\n cipher='feynau' candidate='queen' length-match=False\n cipher='feynau' candidate='tea' length-match=False\n cipher='feynau' candidate='cake' length-match=False\n cipher='feynau' candidate='garden' length-match=True\n cipher='feynau' candidate='mushroom' length-match=False\n cipher='feynau' candidate='card' length-match=False\n cipher='feynau' candidate='card' length-match=False\n cipher='feynau' candidate='wonderland' length-match=False\n cipher='feynau' candidate='white' length-match=False\n cipher='feynau' candidate='down' length-match=False\n cipher='feynau' candidate='smile' length-match=False\n cipher='feynau' candidate='smiled' length-match=True <- assign\n cipher='feynau' candidate='looking' length-match=False\n cipher='feynau' candidate='glass' length-match=False\n cipher='feynau' candidate='march' length-match=False\n cipher='feynau' candidate='hare' length-match=False\n cipher='feynau' candidate='dormouse' length-match=False\n cipher='ehfpldde' candidate='alice' length-match=False\n cipher='ehfpldde' candidate='rabbit' length-match=False\n cipher='ehfpldde' candidate='hatter' length-match=False\n cipher='ehfpldde' candidate='cheshire' length-match=True\n cipher='ehfpldde' candidate='queen' length-match=False\n cipher='ehfpldde' candidate='tea' length-match=False\n cipher='ehfpldde' candidate='cake' length-match=False\n cipher='ehfpldde' candidate='garden' length-match=False\n cipher='ehfpldde' candidate='mushroom' length-match=True <- assign\n cipher='ehfpldde' candidate='card' length-match=False\n cipher='ehfpldde' candidate='card' length-match=False\n cipher='ehfpldde' candidate='wonderland' length-match=False\n cipher='ehfpldde' candidate='white' length-match=False\n cipher='ehfpldde' candidate='down' length-match=False\n cipher='ehfpldde' candidate='smile' length-match=False\n cipher='ehfpldde' candidate='smiled' length-match=False\n cipher='ehfpldde' candidate='looking' length-match=False\n cipher='ehfpldde' candidate='glass' length-match=False\n cipher='ehfpldde' candidate='march' length-match=False\n cipher='ehfpldde' candidate='hare' length-match=False\n cipher='ehfpldde' candidate='dormouse' length-match=True\n cipher='udledhfa' candidate='alice' length-match=False\n cipher='udledhfa' candidate='rabbit' length-match=False\n cipher='udledhfa' candidate='hatter' length-match=False\n cipher='udledhfa' candidate='cheshire' length-match=True\n cipher='udledhfa' candidate='queen' length-match=False\n cipher='udledhfa' candidate='tea' length-match=False\n cipher='udledhfa' candidate='cake' length-match=False\n cipher='udledhfa' candidate='garden' length-match=False\n cipher='udledhfa' candidate='mushroom' length-match=True\n cipher='udledhfa' candidate='card' length-match=False\n cipher='udledhfa' candidate='card' length-match=False\n cipher='udledhfa' candidate='wonderland' length-match=False\n cipher='udledhfa' candidate='white' length-match=False\n cipher='udledhfa' candidate='down' length-match=False\n cipher='udledhfa' candidate='smile' length-match=False\n cipher='udledhfa' candidate='smiled' length-match=False\n cipher='udledhfa' candidate='looking' length-match=False\n cipher='udledhfa' candidate='glass' length-match=False\n cipher='udledhfa' candidate='march' length-match=False\n cipher='udledhfa' candidate='hare' length-match=False\n cipher='udledhfa' candidate='dormouse' length-match=True <- assign\n cipher='trqa' candidate='alice' length-match=False\n cipher='trqa' candidate='rabbit' length-match=False\n cipher='trqa' candidate='hatter' length-match=False\n cipher='trqa' candidate='cheshire' length-match=False\n cipher='trqa' candidate='queen' length-match=False\n cipher='trqa' candidate='tea' length-match=False\n cipher='trqa' candidate='cake' length-match=True <- assign\n cipher='trqa' candidate='garden' length-match=False\n cipher='trqa' candidate='mushroom' length-match=False\n cipher='trqa' candidate='card' length-match=True\n cipher='trqa' candidate='card' length-match=True\n cipher='trqa' candidate='wonderland' length-match=False\n cipher='trqa' candidate='white' length-match=False\n cipher='trqa' candidate='down' length-match=True\n cipher='trqa' candidate='smile' length-match=False\n cipher='trqa' candidate='smiled' length-match=False\n cipher='trqa' candidate='looking' length-match=False\n cipher='trqa' candidate='glass' length-match=False\n cipher='trqa' candidate='march' length-match=False\n cipher='trqa' candidate='hare' length-match=True\n cipher='trqa' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n smiled mushroom dormouse cake\nFinal: \\boxed{smiled mushroom dormouse cake}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 68,50 -> 6850\n 71,54 -> 7154\n 75,38 -> 7538\nApply to: 49,82\n### Reasoning:\n<|cot_start|>Examples:\n 68,50 -> 6850\n 71,54 -> 7154\n 75,38 -> 7538\nCheck both candidate forms:\n concat(68,50)=6850 rev_concat(68,50)=5068 target=6850 concat\n concat(71,54)=7154 rev_concat(71,54)=5471 target=7154 concat\n concat(75,38)=7538 rev_concat(75,38)=3875 target=7538 concat\nConclude operator: concat.\nApply to (49, 82): answer = 4982\nFinal: \\boxed{4982}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 50 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 50 kilograms = 50 * 1000 grams.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 0 * 10^0 * 1000 = 0\n running total = 50000\nFinal: \\boxed{50000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 37,39 -> 2\n 22,27 -> 5\n 23,15 -> 8\nApply to: 86,81\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 37,39: '+' gives 76; target=2 no\n 37,39: '-' gives 2; target=2 MATCH\n 37,39: '*' gives 1443; target=2 no\n 37,39: 'concat' gives 3739; target=2 no\n 37,39: 'rev_concat' gives 3937; target=2 no\n 37,39: 'max*min+sum' gives 1519; target=2 no\n 37,39: 'digitsum2' gives 484; target=2 no\n 22,27: '+' gives 49; target=5 no\n 22,27: '-' gives 5; target=5 MATCH\n 22,27: '*' gives 594; target=5 no\n 22,27: 'concat' gives 2227; target=5 no\n 22,27: 'rev_concat' gives 2722; target=5 no\n 22,27: 'max*min+sum' gives 643; target=5 no\n 22,27: 'digitsum2' gives 169; target=5 no\n 23,15: '+' gives 38; target=8 no\n 23,15: '-' gives 8; target=8 MATCH\n 23,15: '*' gives 345; target=8 no\n 23,15: 'concat' gives 2315; target=8 no\n 23,15: 'rev_concat' gives 1523; target=8 no\n 23,15: 'max*min+sum' gives 383; target=8 no\n 23,15: 'digitsum2' gives 121; target=8 no\nThe only operator consistent with all examples is '-'.\nApply to (86, 81):\n result = 5\nFinal: \\boxed{5}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dsbw xzui qkrmwx xzckztqw\n### Reasoning:\n<|cot_start|>Cipher text: dsbw xzui qkrmwx xzckztqw\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dsbw' candidate='alice' length-match=False\n cipher='dsbw' candidate='rabbit' length-match=False\n cipher='dsbw' candidate='hatter' length-match=False\n cipher='dsbw' candidate='cheshire' length-match=False\n cipher='dsbw' candidate='queen' length-match=False\n cipher='dsbw' candidate='tea' length-match=False\n cipher='dsbw' candidate='cake' length-match=True <- assign\n cipher='dsbw' candidate='garden' length-match=False\n cipher='dsbw' candidate='mushroom' length-match=False\n cipher='dsbw' candidate='card' length-match=True\n cipher='dsbw' candidate='card' length-match=True\n cipher='dsbw' candidate='wonderland' length-match=False\n cipher='dsbw' candidate='white' length-match=False\n cipher='dsbw' candidate='down' length-match=True\n cipher='dsbw' candidate='smile' length-match=False\n cipher='dsbw' candidate='smiled' length-match=False\n cipher='dsbw' candidate='looking' length-match=False\n cipher='dsbw' candidate='glass' length-match=False\n cipher='dsbw' candidate='march' length-match=False\n cipher='dsbw' candidate='hare' length-match=True\n cipher='dsbw' candidate='dormouse' length-match=False\n cipher='xzui' candidate='alice' length-match=False\n cipher='xzui' candidate='rabbit' length-match=False\n cipher='xzui' candidate='hatter' length-match=False\n cipher='xzui' candidate='cheshire' length-match=False\n cipher='xzui' candidate='queen' length-match=False\n cipher='xzui' candidate='tea' length-match=False\n cipher='xzui' candidate='cake' length-match=True\n cipher='xzui' candidate='garden' length-match=False\n cipher='xzui' candidate='mushroom' length-match=False\n cipher='xzui' candidate='card' length-match=True\n cipher='xzui' candidate='card' length-match=True\n cipher='xzui' candidate='wonderland' length-match=False\n cipher='xzui' candidate='white' length-match=False\n cipher='xzui' candidate='down' length-match=True <- assign\n cipher='xzui' candidate='smile' length-match=False\n cipher='xzui' candidate='smiled' length-match=False\n cipher='xzui' candidate='looking' length-match=False\n cipher='xzui' candidate='glass' length-match=False\n cipher='xzui' candidate='march' length-match=False\n cipher='xzui' candidate='hare' length-match=True\n cipher='xzui' candidate='dormouse' length-match=False\n cipher='qkrmwx' candidate='alice' length-match=False\n cipher='qkrmwx' candidate='rabbit' length-match=True\n cipher='qkrmwx' candidate='hatter' length-match=True\n cipher='qkrmwx' candidate='cheshire' length-match=False\n cipher='qkrmwx' candidate='queen' length-match=False\n cipher='qkrmwx' candidate='tea' length-match=False\n cipher='qkrmwx' candidate='cake' length-match=False\n cipher='qkrmwx' candidate='garden' length-match=True\n cipher='qkrmwx' candidate='mushroom' length-match=False\n cipher='qkrmwx' candidate='card' length-match=False\n cipher='qkrmwx' candidate='card' length-match=False\n cipher='qkrmwx' candidate='wonderland' length-match=False\n cipher='qkrmwx' candidate='white' length-match=False\n cipher='qkrmwx' candidate='down' length-match=False\n cipher='qkrmwx' candidate='smile' length-match=False\n cipher='qkrmwx' candidate='smiled' length-match=True <- assign\n cipher='qkrmwx' candidate='looking' length-match=False\n cipher='qkrmwx' candidate='glass' length-match=False\n cipher='qkrmwx' candidate='march' length-match=False\n cipher='qkrmwx' candidate='hare' length-match=False\n cipher='qkrmwx' candidate='dormouse' length-match=False\n cipher='xzckztqw' candidate='alice' length-match=False\n cipher='xzckztqw' candidate='rabbit' length-match=False\n cipher='xzckztqw' candidate='hatter' length-match=False\n cipher='xzckztqw' candidate='cheshire' length-match=True\n cipher='xzckztqw' candidate='queen' length-match=False\n cipher='xzckztqw' candidate='tea' length-match=False\n cipher='xzckztqw' candidate='cake' length-match=False\n cipher='xzckztqw' candidate='garden' length-match=False\n cipher='xzckztqw' candidate='mushroom' length-match=True\n cipher='xzckztqw' candidate='card' length-match=False\n cipher='xzckztqw' candidate='card' length-match=False\n cipher='xzckztqw' candidate='wonderland' length-match=False\n cipher='xzckztqw' candidate='white' length-match=False\n cipher='xzckztqw' candidate='down' length-match=False\n cipher='xzckztqw' candidate='smile' length-match=False\n cipher='xzckztqw' candidate='smiled' length-match=False\n cipher='xzckztqw' candidate='looking' length-match=False\n cipher='xzckztqw' candidate='glass' length-match=False\n cipher='xzckztqw' candidate='march' length-match=False\n cipher='xzckztqw' candidate='hare' length-match=False\n cipher='xzckztqw' candidate='dormouse' length-match=True <- assign\nAssemble the decoded sentence:\n cake down smiled dormouse\nFinal: \\boxed{cake down smiled dormouse}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10001100 -> 11011001\n 11000110 -> 10010011\n 10110110 -> 11100011\nApply to: 00010000\n### Reasoning:\n<|cot_start|>Given examples:\n 10001100 -> 11011001\n 11000110 -> 10010011\n 10110110 -> 11100011\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 1,1,1\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 0,0,1 -> 0,0,1\n bit 3: 0,0,1 -> 1,1,0\n bit 4: 1,0,0 -> 1,0,0\n bit 5: 1,1,1 -> 0,0,0\n bit 6: 0,1,1 -> 0,1,1\n bit 7: 0,0,0 -> 1,1,1\nDeduce rule: xor 0x55.\nApply to 00010000:\n result = 01000101\nFinal: \\boxed{01000101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 67,30 -> 6730\n 83,59 -> 8359\n 39,26 -> 3926\nApply to: 42,12\n### Reasoning:\n<|cot_start|>Examples:\n 67,30 -> 6730\n 83,59 -> 8359\n 39,26 -> 3926\nCheck both candidate forms:\n concat(67,30)=6730 rev_concat(67,30)=3067 target=6730 concat\n concat(83,59)=8359 rev_concat(83,59)=5983 target=8359 concat\n concat(39,26)=3926 rev_concat(39,26)=2639 target=3926 concat\nConclude operator: concat.\nApply to (42, 12): answer = 4212\nFinal: \\boxed{4212}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 42 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 42 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 2 * 10^0 * 981 = 1962\n running total = 41202\nSo F = 41202 centiNewtons = 412.02 N.\nFinal: \\boxed{412.02}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10010011 -> 11110011\n 00011111 -> 11111111\n 01111101 -> 11111101\nApply to: 00111000\n### Reasoning:\n<|cot_start|>Given examples:\n 10010011 -> 11110011\n 00011111 -> 11111111\n 01111101 -> 11111101\nCompare each bit position across the three examples:\n bit 0: 1,0,0 -> 1,1,1\n bit 1: 0,0,1 -> 1,1,1\n bit 2: 0,0,1 -> 1,1,1\n bit 3: 1,1,1 -> 1,1,1\n bit 4: 0,1,1 -> 0,1,1\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 1,1,0 -> 1,1,0\n bit 7: 1,1,1 -> 1,1,1\nDeduce rule: or 0xF0.\nApply to 00111000:\n result = 11111000\nFinal: \\boxed{11111000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n vrucc owmcwqbm help hebfegcm\n### Reasoning:\n<|cot_start|>Cipher text: vrucc owmcwqbm help hebfegcm\nTry each candidate Wonderland word against each ciphertext word:\n cipher='vrucc' candidate='alice' length-match=True\n cipher='vrucc' candidate='rabbit' length-match=False\n cipher='vrucc' candidate='hatter' length-match=False\n cipher='vrucc' candidate='cheshire' length-match=False\n cipher='vrucc' candidate='queen' length-match=True\n cipher='vrucc' candidate='tea' length-match=False\n cipher='vrucc' candidate='cake' length-match=False\n cipher='vrucc' candidate='garden' length-match=False\n cipher='vrucc' candidate='mushroom' length-match=False\n cipher='vrucc' candidate='card' length-match=False\n cipher='vrucc' candidate='card' length-match=False\n cipher='vrucc' candidate='wonderland' length-match=False\n cipher='vrucc' candidate='white' length-match=True\n cipher='vrucc' candidate='down' length-match=False\n cipher='vrucc' candidate='smile' length-match=True\n cipher='vrucc' candidate='smiled' length-match=False\n cipher='vrucc' candidate='looking' length-match=False\n cipher='vrucc' candidate='glass' length-match=True <- assign\n cipher='vrucc' candidate='march' length-match=True\n cipher='vrucc' candidate='hare' length-match=False\n cipher='vrucc' candidate='dormouse' length-match=False\n cipher='owmcwqbm' candidate='alice' length-match=False\n cipher='owmcwqbm' candidate='rabbit' length-match=False\n cipher='owmcwqbm' candidate='hatter' length-match=False\n cipher='owmcwqbm' candidate='cheshire' length-match=True <- assign\n cipher='owmcwqbm' candidate='queen' length-match=False\n cipher='owmcwqbm' candidate='tea' length-match=False\n cipher='owmcwqbm' candidate='cake' length-match=False\n cipher='owmcwqbm' candidate='garden' length-match=False\n cipher='owmcwqbm' candidate='mushroom' length-match=True\n cipher='owmcwqbm' candidate='card' length-match=False\n cipher='owmcwqbm' candidate='card' length-match=False\n cipher='owmcwqbm' candidate='wonderland' length-match=False\n cipher='owmcwqbm' candidate='white' length-match=False\n cipher='owmcwqbm' candidate='down' length-match=False\n cipher='owmcwqbm' candidate='smile' length-match=False\n cipher='owmcwqbm' candidate='smiled' length-match=False\n cipher='owmcwqbm' candidate='looking' length-match=False\n cipher='owmcwqbm' candidate='glass' length-match=False\n cipher='owmcwqbm' candidate='march' length-match=False\n cipher='owmcwqbm' candidate='hare' length-match=False\n cipher='owmcwqbm' candidate='dormouse' length-match=True\n cipher='help' candidate='alice' length-match=False\n cipher='help' candidate='rabbit' length-match=False\n cipher='help' candidate='hatter' length-match=False\n cipher='help' candidate='cheshire' length-match=False\n cipher='help' candidate='queen' length-match=False\n cipher='help' candidate='tea' length-match=False\n cipher='help' candidate='cake' length-match=True\n cipher='help' candidate='garden' length-match=False\n cipher='help' candidate='mushroom' length-match=False\n cipher='help' candidate='card' length-match=True\n cipher='help' candidate='card' length-match=True\n cipher='help' candidate='wonderland' length-match=False\n cipher='help' candidate='white' length-match=False\n cipher='help' candidate='down' length-match=True <- assign\n cipher='help' candidate='smile' length-match=False\n cipher='help' candidate='smiled' length-match=False\n cipher='help' candidate='looking' length-match=False\n cipher='help' candidate='glass' length-match=False\n cipher='help' candidate='march' length-match=False\n cipher='help' candidate='hare' length-match=True\n cipher='help' candidate='dormouse' length-match=False\n cipher='hebfegcm' candidate='alice' length-match=False\n cipher='hebfegcm' candidate='rabbit' length-match=False\n cipher='hebfegcm' candidate='hatter' length-match=False\n cipher='hebfegcm' candidate='cheshire' length-match=True\n cipher='hebfegcm' candidate='queen' length-match=False\n cipher='hebfegcm' candidate='tea' length-match=False\n cipher='hebfegcm' candidate='cake' length-match=False\n cipher='hebfegcm' candidate='garden' length-match=False\n cipher='hebfegcm' candidate='mushroom' length-match=True\n cipher='hebfegcm' candidate='card' length-match=False\n cipher='hebfegcm' candidate='card' length-match=False\n cipher='hebfegcm' candidate='wonderland' length-match=False\n cipher='hebfegcm' candidate='white' length-match=False\n cipher='hebfegcm' candidate='down' length-match=False\n cipher='hebfegcm' candidate='smile' length-match=False\n cipher='hebfegcm' candidate='smiled' length-match=False\n cipher='hebfegcm' candidate='looking' length-match=False\n cipher='hebfegcm' candidate='glass' length-match=False\n cipher='hebfegcm' candidate='march' length-match=False\n cipher='hebfegcm' candidate='hare' length-match=False\n cipher='hebfegcm' candidate='dormouse' length-match=True <- assign\nAssemble the decoded sentence:\n glass cheshire down dormouse\nFinal: \\boxed{glass cheshire down dormouse}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n jczbclyg ybvogj pngynvzg uovpg\n### Reasoning:\n<|cot_start|>Cipher text: jczbclyg ybvogj pngynvzg uovpg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='jczbclyg' candidate='alice' length-match=False\n cipher='jczbclyg' candidate='rabbit' length-match=False\n cipher='jczbclyg' candidate='hatter' length-match=False\n cipher='jczbclyg' candidate='cheshire' length-match=True\n cipher='jczbclyg' candidate='queen' length-match=False\n cipher='jczbclyg' candidate='tea' length-match=False\n cipher='jczbclyg' candidate='cake' length-match=False\n cipher='jczbclyg' candidate='garden' length-match=False\n cipher='jczbclyg' candidate='mushroom' length-match=True\n cipher='jczbclyg' candidate='card' length-match=False\n cipher='jczbclyg' candidate='card' length-match=False\n cipher='jczbclyg' candidate='wonderland' length-match=False\n cipher='jczbclyg' candidate='white' length-match=False\n cipher='jczbclyg' candidate='down' length-match=False\n cipher='jczbclyg' candidate='smile' length-match=False\n cipher='jczbclyg' candidate='smiled' length-match=False\n cipher='jczbclyg' candidate='looking' length-match=False\n cipher='jczbclyg' candidate='glass' length-match=False\n cipher='jczbclyg' candidate='march' length-match=False\n cipher='jczbclyg' candidate='hare' length-match=False\n cipher='jczbclyg' candidate='dormouse' length-match=True <- assign\n cipher='ybvogj' candidate='alice' length-match=False\n cipher='ybvogj' candidate='rabbit' length-match=True\n cipher='ybvogj' candidate='hatter' length-match=True\n cipher='ybvogj' candidate='cheshire' length-match=False\n cipher='ybvogj' candidate='queen' length-match=False\n cipher='ybvogj' candidate='tea' length-match=False\n cipher='ybvogj' candidate='cake' length-match=False\n cipher='ybvogj' candidate='garden' length-match=True\n cipher='ybvogj' candidate='mushroom' length-match=False\n cipher='ybvogj' candidate='card' length-match=False\n cipher='ybvogj' candidate='card' length-match=False\n cipher='ybvogj' candidate='wonderland' length-match=False\n cipher='ybvogj' candidate='white' length-match=False\n cipher='ybvogj' candidate='down' length-match=False\n cipher='ybvogj' candidate='smile' length-match=False\n cipher='ybvogj' candidate='smiled' length-match=True <- assign\n cipher='ybvogj' candidate='looking' length-match=False\n cipher='ybvogj' candidate='glass' length-match=False\n cipher='ybvogj' candidate='march' length-match=False\n cipher='ybvogj' candidate='hare' length-match=False\n cipher='ybvogj' candidate='dormouse' length-match=False\n cipher='pngynvzg' candidate='alice' length-match=False\n cipher='pngynvzg' candidate='rabbit' length-match=False\n cipher='pngynvzg' candidate='hatter' length-match=False\n cipher='pngynvzg' candidate='cheshire' length-match=True <- assign\n cipher='pngynvzg' candidate='queen' length-match=False\n cipher='pngynvzg' candidate='tea' length-match=False\n cipher='pngynvzg' candidate='cake' length-match=False\n cipher='pngynvzg' candidate='garden' length-match=False\n cipher='pngynvzg' candidate='mushroom' length-match=True\n cipher='pngynvzg' candidate='card' length-match=False\n cipher='pngynvzg' candidate='card' length-match=False\n cipher='pngynvzg' candidate='wonderland' length-match=False\n cipher='pngynvzg' candidate='white' length-match=False\n cipher='pngynvzg' candidate='down' length-match=False\n cipher='pngynvzg' candidate='smile' length-match=False\n cipher='pngynvzg' candidate='smiled' length-match=False\n cipher='pngynvzg' candidate='looking' length-match=False\n cipher='pngynvzg' candidate='glass' length-match=False\n cipher='pngynvzg' candidate='march' length-match=False\n cipher='pngynvzg' candidate='hare' length-match=False\n cipher='pngynvzg' candidate='dormouse' length-match=True\n cipher='uovpg' candidate='alice' length-match=True <- assign\n cipher='uovpg' candidate='rabbit' length-match=False\n cipher='uovpg' candidate='hatter' length-match=False\n cipher='uovpg' candidate='cheshire' length-match=False\n cipher='uovpg' candidate='queen' length-match=True\n cipher='uovpg' candidate='tea' length-match=False\n cipher='uovpg' candidate='cake' length-match=False\n cipher='uovpg' candidate='garden' length-match=False\n cipher='uovpg' candidate='mushroom' length-match=False\n cipher='uovpg' candidate='card' length-match=False\n cipher='uovpg' candidate='card' length-match=False\n cipher='uovpg' candidate='wonderland' length-match=False\n cipher='uovpg' candidate='white' length-match=True\n cipher='uovpg' candidate='down' length-match=False\n cipher='uovpg' candidate='smile' length-match=True\n cipher='uovpg' candidate='smiled' length-match=False\n cipher='uovpg' candidate='looking' length-match=False\n cipher='uovpg' candidate='glass' length-match=True\n cipher='uovpg' candidate='march' length-match=True\n cipher='uovpg' candidate='hare' length-match=False\n cipher='uovpg' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n dormouse smiled cheshire alice\nFinal: \\boxed{dormouse smiled cheshire alice}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n I = 1 -> 10 + 1 = 11\n I = 1 -> 11 + 1 = 12\nFinal: \\boxed{12}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 83,87 -> 8783\n 86,47 -> 4786\n 23,53 -> 5323\nApply to: 98,21\n### Reasoning:\n<|cot_start|>Examples:\n 83,87 -> 8783\n 86,47 -> 4786\n 23,53 -> 5323\nCheck both candidate forms:\n concat(83,87)=8387 rev_concat(83,87)=8783 target=8783 rev_concat\n concat(86,47)=8647 rev_concat(86,47)=4786 target=4786 rev_concat\n concat(23,53)=2353 rev_concat(23,53)=5323 target=5323 rev_concat\nConclude operator: rev_concat.\nApply to (98, 21): answer = 2198\nFinal: \\boxed{2198}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 79,14 -> 7914\n 37,85 -> 3785\n 84,62 -> 8462\nApply to: 45,22\n### Reasoning:\n<|cot_start|>Examples:\n 79,14 -> 7914\n 37,85 -> 3785\n 84,62 -> 8462\nCheck both candidate forms:\n concat(79,14)=7914 rev_concat(79,14)=1479 target=7914 concat\n concat(37,85)=3785 rev_concat(37,85)=8537 target=3785 concat\n concat(84,62)=8462 rev_concat(84,62)=6284 target=8462 concat\nConclude operator: concat.\nApply to (45, 22): answer = 4522\nFinal: \\boxed{4522}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n evo agruvnsoru zonhl loeevn\n### Reasoning:\n<|cot_start|>Cipher text: evo agruvnsoru zonhl loeevn\nTry each candidate Wonderland word against each ciphertext word:\n cipher='evo' candidate='alice' length-match=False\n cipher='evo' candidate='rabbit' length-match=False\n cipher='evo' candidate='hatter' length-match=False\n cipher='evo' candidate='cheshire' length-match=False\n cipher='evo' candidate='queen' length-match=False\n cipher='evo' candidate='tea' length-match=True <- assign\n cipher='evo' candidate='cake' length-match=False\n cipher='evo' candidate='garden' length-match=False\n cipher='evo' candidate='mushroom' length-match=False\n cipher='evo' candidate='card' length-match=False\n cipher='evo' candidate='card' length-match=False\n cipher='evo' candidate='wonderland' length-match=False\n cipher='evo' candidate='white' length-match=False\n cipher='evo' candidate='down' length-match=False\n cipher='evo' candidate='smile' length-match=False\n cipher='evo' candidate='smiled' length-match=False\n cipher='evo' candidate='looking' length-match=False\n cipher='evo' candidate='glass' length-match=False\n cipher='evo' candidate='march' length-match=False\n cipher='evo' candidate='hare' length-match=False\n cipher='evo' candidate='dormouse' length-match=False\n cipher='agruvnsoru' candidate='alice' length-match=False\n cipher='agruvnsoru' candidate='rabbit' length-match=False\n cipher='agruvnsoru' candidate='hatter' length-match=False\n cipher='agruvnsoru' candidate='cheshire' length-match=False\n cipher='agruvnsoru' candidate='queen' length-match=False\n cipher='agruvnsoru' candidate='tea' length-match=False\n cipher='agruvnsoru' candidate='cake' length-match=False\n cipher='agruvnsoru' candidate='garden' length-match=False\n cipher='agruvnsoru' candidate='mushroom' length-match=False\n cipher='agruvnsoru' candidate='card' length-match=False\n cipher='agruvnsoru' candidate='card' length-match=False\n cipher='agruvnsoru' candidate='wonderland' length-match=True <- assign\n cipher='agruvnsoru' candidate='white' length-match=False\n cipher='agruvnsoru' candidate='down' length-match=False\n cipher='agruvnsoru' candidate='smile' length-match=False\n cipher='agruvnsoru' candidate='smiled' length-match=False\n cipher='agruvnsoru' candidate='looking' length-match=False\n cipher='agruvnsoru' candidate='glass' length-match=False\n cipher='agruvnsoru' candidate='march' length-match=False\n cipher='agruvnsoru' candidate='hare' length-match=False\n cipher='agruvnsoru' candidate='dormouse' length-match=False\n cipher='zonhl' candidate='alice' length-match=True\n cipher='zonhl' candidate='rabbit' length-match=False\n cipher='zonhl' candidate='hatter' length-match=False\n cipher='zonhl' candidate='cheshire' length-match=False\n cipher='zonhl' candidate='queen' length-match=True\n cipher='zonhl' candidate='tea' length-match=False\n cipher='zonhl' candidate='cake' length-match=False\n cipher='zonhl' candidate='garden' length-match=False\n cipher='zonhl' candidate='mushroom' length-match=False\n cipher='zonhl' candidate='card' length-match=False\n cipher='zonhl' candidate='card' length-match=False\n cipher='zonhl' candidate='wonderland' length-match=False\n cipher='zonhl' candidate='white' length-match=True\n cipher='zonhl' candidate='down' length-match=False\n cipher='zonhl' candidate='smile' length-match=True\n cipher='zonhl' candidate='smiled' length-match=False\n cipher='zonhl' candidate='looking' length-match=False\n cipher='zonhl' candidate='glass' length-match=True\n cipher='zonhl' candidate='march' length-match=True <- assign\n cipher='zonhl' candidate='hare' length-match=False\n cipher='zonhl' candidate='dormouse' length-match=False\n cipher='loeevn' candidate='alice' length-match=False\n cipher='loeevn' candidate='rabbit' length-match=True\n cipher='loeevn' candidate='hatter' length-match=True <- assign\n cipher='loeevn' candidate='cheshire' length-match=False\n cipher='loeevn' candidate='queen' length-match=False\n cipher='loeevn' candidate='tea' length-match=False\n cipher='loeevn' candidate='cake' length-match=False\n cipher='loeevn' candidate='garden' length-match=True\n cipher='loeevn' candidate='mushroom' length-match=False\n cipher='loeevn' candidate='card' length-match=False\n cipher='loeevn' candidate='card' length-match=False\n cipher='loeevn' candidate='wonderland' length-match=False\n cipher='loeevn' candidate='white' length-match=False\n cipher='loeevn' candidate='down' length-match=False\n cipher='loeevn' candidate='smile' length-match=False\n cipher='loeevn' candidate='smiled' length-match=True\n cipher='loeevn' candidate='looking' length-match=False\n cipher='loeevn' candidate='glass' length-match=False\n cipher='loeevn' candidate='march' length-match=False\n cipher='loeevn' candidate='hare' length-match=False\n cipher='loeevn' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n tea wonderland march hatter\nFinal: \\boxed{tea wonderland march hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 31,54 -> 1759\n 60,13 -> 853\n 78,95 -> 7583\nApply to: 15,78\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 31,54: '+' gives 85; target=1759 no\n 31,54: '-' gives 23; target=1759 no\n 31,54: '*' gives 1674; target=1759 no\n 31,54: 'concat' gives 3154; target=1759 no\n 31,54: 'rev_concat' gives 5431; target=1759 no\n 31,54: 'max*min+sum' gives 1759; target=1759 MATCH\n 31,54: 'digitsum2' gives 169; target=1759 no\n 60,13: '+' gives 73; target=853 no\n 60,13: '-' gives 47; target=853 no\n 60,13: '*' gives 780; target=853 no\n 60,13: 'concat' gives 6013; target=853 no\n 60,13: 'rev_concat' gives 1360; target=853 no\n 60,13: 'max*min+sum' gives 853; target=853 MATCH\n 60,13: 'digitsum2' gives 100; target=853 no\n 78,95: '+' gives 173; target=7583 no\n 78,95: '-' gives 17; target=7583 no\n 78,95: '*' gives 7410; target=7583 no\n 78,95: 'concat' gives 7895; target=7583 no\n 78,95: 'rev_concat' gives 9578; target=7583 no\n 78,95: 'max*min+sum' gives 7583; target=7583 MATCH\n 78,95: 'digitsum2' gives 841; target=7583 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (15, 78):\n result = 1263\nFinal: \\boxed{1263}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 53,79 -> 4319\n 22,21 -> 505\n 60,11 -> 731\nApply to: 17,34\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 53,79: '+' gives 132; target=4319 no\n 53,79: '-' gives 26; target=4319 no\n 53,79: '*' gives 4187; target=4319 no\n 53,79: 'concat' gives 5379; target=4319 no\n 53,79: 'rev_concat' gives 7953; target=4319 no\n 53,79: 'max*min+sum' gives 4319; target=4319 MATCH\n 53,79: 'digitsum2' gives 576; target=4319 no\n 22,21: '+' gives 43; target=505 no\n 22,21: '-' gives 1; target=505 no\n 22,21: '*' gives 462; target=505 no\n 22,21: 'concat' gives 2221; target=505 no\n 22,21: 'rev_concat' gives 2122; target=505 no\n 22,21: 'max*min+sum' gives 505; target=505 MATCH\n 22,21: 'digitsum2' gives 49; target=505 no\n 60,11: '+' gives 71; target=731 no\n 60,11: '-' gives 49; target=731 no\n 60,11: '*' gives 660; target=731 no\n 60,11: 'concat' gives 6011; target=731 no\n 60,11: 'rev_concat' gives 1160; target=731 no\n 60,11: 'max*min+sum' gives 731; target=731 MATCH\n 60,11: 'digitsum2' gives 64; target=731 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (17, 34):\n result = 629\nFinal: \\boxed{629}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 46 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 46 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 6 * 10^0 * 981 = 5886\n running total = 45126\nSo F = 45126 centiNewtons = 451.26 N.\nFinal: \\boxed{451.26}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXXII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n X = 10 -> 70 + 10 = 80\n I = 1 -> 80 + 1 = 81\n I = 1 -> 81 + 1 = 82\nFinal: \\boxed{82}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 17 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 17 days = 17 * 24 hours.\nCompute step by step:\n 1 * 10^1 * 24 = 240\n running total = 240\n 7 * 10^0 * 24 = 168\n running total = 408\nFinal: \\boxed{408}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 28 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 28 days = 28 * 24 hours.\nCompute step by step:\n 2 * 10^1 * 24 = 480\n running total = 480\n 8 * 10^0 * 24 = 192\n running total = 672\nFinal: \\boxed{672}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 16 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 16 kilograms = 16 * 1000 grams.\nCompute step by step:\n 1 * 10^1 * 1000 = 10000\n running total = 10000\n 6 * 10^0 * 1000 = 6000\n running total = 16000\nFinal: \\boxed{16000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 1 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 1 * 981.\nStep-by-step multiplication:\n 1 * 10^0 * 981 = 981\n running total = 981\nSo F = 981 centiNewtons = 9.81 N.\nFinal: \\boxed{9.81}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 58,35 -> 2030\n 12,60 -> 720\n 90,84 -> 7560\nApply to: 78,49\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 58,35: '+' gives 93; target=2030 no\n 58,35: '-' gives 23; target=2030 no\n 58,35: '*' gives 2030; target=2030 MATCH\n 58,35: 'concat' gives 5835; target=2030 no\n 58,35: 'rev_concat' gives 3558; target=2030 no\n 58,35: 'max*min+sum' gives 2123; target=2030 no\n 58,35: 'digitsum2' gives 441; target=2030 no\n 12,60: '+' gives 72; target=720 no\n 12,60: '-' gives 48; target=720 no\n 12,60: '*' gives 720; target=720 MATCH\n 12,60: 'concat' gives 1260; target=720 no\n 12,60: 'rev_concat' gives 6012; target=720 no\n 12,60: 'max*min+sum' gives 792; target=720 no\n 12,60: 'digitsum2' gives 81; target=720 no\n 90,84: '+' gives 174; target=7560 no\n 90,84: '-' gives 6; target=7560 no\n 90,84: '*' gives 7560; target=7560 MATCH\n 90,84: 'concat' gives 9084; target=7560 no\n 90,84: 'rev_concat' gives 8490; target=7560 no\n 90,84: 'max*min+sum' gives 7734; target=7560 no\n 90,84: 'digitsum2' gives 441; target=7560 no\nThe only operator consistent with all examples is '*'.\nApply to (78, 49):\n result = 3822\nFinal: \\boxed{3822}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 74,24 -> 7424\n 50,84 -> 5084\n 84,81 -> 8481\nApply to: 90,89\n### Reasoning:\n<|cot_start|>Examples:\n 74,24 -> 7424\n 50,84 -> 5084\n 84,81 -> 8481\nCheck both candidate forms:\n concat(74,24)=7424 rev_concat(74,24)=2474 target=7424 concat\n concat(50,84)=5084 rev_concat(50,84)=8450 target=5084 concat\n concat(84,81)=8481 rev_concat(84,81)=8184 target=8481 concat\nConclude operator: concat.\nApply to (90, 89): answer = 9089\nFinal: \\boxed{9089}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 15 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 15 days = 15 * 24 hours.\nCompute step by step:\n 1 * 10^1 * 24 = 240\n running total = 240\n 5 * 10^0 * 24 = 120\n running total = 360\nFinal: \\boxed{360}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 94,28 -> 9428\n 28,17 -> 2817\n 24,29 -> 2429\nApply to: 90,25\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 94,28: '+' gives 122; target=9428 no\n 94,28: '-' gives 66; target=9428 no\n 94,28: '*' gives 2632; target=9428 no\n 94,28: 'concat' gives 9428; target=9428 MATCH\n 94,28: 'rev_concat' gives 2894; target=9428 no\n 94,28: 'max*min+sum' gives 2754; target=9428 no\n 94,28: 'digitsum2' gives 529; target=9428 no\n 28,17: '+' gives 45; target=2817 no\n 28,17: '-' gives 11; target=2817 no\n 28,17: '*' gives 476; target=2817 no\n 28,17: 'concat' gives 2817; target=2817 MATCH\n 28,17: 'rev_concat' gives 1728; target=2817 no\n 28,17: 'max*min+sum' gives 521; target=2817 no\n 28,17: 'digitsum2' gives 324; target=2817 no\n 24,29: '+' gives 53; target=2429 no\n 24,29: '-' gives 5; target=2429 no\n 24,29: '*' gives 696; target=2429 no\n 24,29: 'concat' gives 2429; target=2429 MATCH\n 24,29: 'rev_concat' gives 2924; target=2429 no\n 24,29: 'max*min+sum' gives 749; target=2429 no\n 24,29: 'digitsum2' gives 289; target=2429 no\nThe only operator consistent with all examples is 'concat'.\nApply to (90, 25):\n result = 9025\nFinal: \\boxed{9025}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 71,34 -> 37\n 31,89 -> 58\n 34,19 -> 15\nApply to: 44,74\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 71,34: '+' gives 105; target=37 no\n 71,34: '-' gives 37; target=37 MATCH\n 71,34: '*' gives 2414; target=37 no\n 71,34: 'concat' gives 7134; target=37 no\n 71,34: 'rev_concat' gives 3471; target=37 no\n 71,34: 'max*min+sum' gives 2519; target=37 no\n 71,34: 'digitsum2' gives 225; target=37 no\n 31,89: '+' gives 120; target=58 no\n 31,89: '-' gives 58; target=58 MATCH\n 31,89: '*' gives 2759; target=58 no\n 31,89: 'concat' gives 3189; target=58 no\n 31,89: 'rev_concat' gives 8931; target=58 no\n 31,89: 'max*min+sum' gives 2879; target=58 no\n 31,89: 'digitsum2' gives 441; target=58 no\n 34,19: '+' gives 53; target=15 no\n 34,19: '-' gives 15; target=15 MATCH\n 34,19: '*' gives 646; target=15 no\n 34,19: 'concat' gives 3419; target=15 no\n 34,19: 'rev_concat' gives 1934; target=15 no\n 34,19: 'max*min+sum' gives 699; target=15 no\n 34,19: 'digitsum2' gives 289; target=15 no\nThe only operator consistent with all examples is '-'.\nApply to (44, 74):\n result = 30\nFinal: \\boxed{30}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 82,79 -> 7982\n 94,58 -> 5894\n 63,50 -> 5063\nApply to: 87,53\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 82,79: '+' gives 161; target=7982 no\n 82,79: '-' gives 3; target=7982 no\n 82,79: '*' gives 6478; target=7982 no\n 82,79: 'concat' gives 8279; target=7982 no\n 82,79: 'rev_concat' gives 7982; target=7982 MATCH\n 82,79: 'max*min+sum' gives 6639; target=7982 no\n 82,79: 'digitsum2' gives 676; target=7982 no\n 94,58: '+' gives 152; target=5894 no\n 94,58: '-' gives 36; target=5894 no\n 94,58: '*' gives 5452; target=5894 no\n 94,58: 'concat' gives 9458; target=5894 no\n 94,58: 'rev_concat' gives 5894; target=5894 MATCH\n 94,58: 'max*min+sum' gives 5604; target=5894 no\n 94,58: 'digitsum2' gives 676; target=5894 no\n 63,50: '+' gives 113; target=5063 no\n 63,50: '-' gives 13; target=5063 no\n 63,50: '*' gives 3150; target=5063 no\n 63,50: 'concat' gives 6350; target=5063 no\n 63,50: 'rev_concat' gives 5063; target=5063 MATCH\n 63,50: 'max*min+sum' gives 3263; target=5063 no\n 63,50: 'digitsum2' gives 196; target=5063 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (87, 53):\n result = 5387\nFinal: \\boxed{5387}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n I = 1 -> 70 + 1 = 71\n I = 1 -> 71 + 1 = 72\nFinal: \\boxed{72}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n IV = 4 -> 90 + 4 = 94\nFinal: \\boxed{94}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 98 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 98 metres = 98 * 100 centimetres.\nCompute step by step:\n 9 * 10^1 * 100 = 9000\n running total = 9000\n 8 * 10^0 * 100 = 800\n running total = 9800\nFinal: \\boxed{9800}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 88 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 88 minutes = 88 * 60 seconds.\nCompute step by step:\n 8 * 10^1 * 60 = 4800\n running total = 4800\n 8 * 10^0 * 60 = 480\n running total = 5280\nFinal: \\boxed{5280}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01000010 -> 11110010\n 10101001 -> 11111001\n 11000110 -> 11110110\nApply to: 01100110\n### Reasoning:\n<|cot_start|>Given examples:\n 01000010 -> 11110010\n 10101001 -> 11111001\n 11000110 -> 11110110\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 1,1,1\n bit 1: 1,0,1 -> 1,1,1\n bit 2: 0,1,0 -> 1,1,1\n bit 3: 0,0,0 -> 1,1,1\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 0,0,1 -> 0,0,1\n bit 6: 1,0,1 -> 1,0,1\n bit 7: 0,1,0 -> 0,1,0\nDeduce rule: or 0xF0.\nApply to 01100110:\n result = 11110110\nFinal: \\boxed{11110110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 14,11 -> 154\n 92,86 -> 7912\n 61,11 -> 671\nApply to: 65,39\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 14,11: '+' gives 25; target=154 no\n 14,11: '-' gives 3; target=154 no\n 14,11: '*' gives 154; target=154 MATCH\n 14,11: 'concat' gives 1411; target=154 no\n 14,11: 'rev_concat' gives 1114; target=154 no\n 14,11: 'max*min+sum' gives 179; target=154 no\n 14,11: 'digitsum2' gives 49; target=154 no\n 92,86: '+' gives 178; target=7912 no\n 92,86: '-' gives 6; target=7912 no\n 92,86: '*' gives 7912; target=7912 MATCH\n 92,86: 'concat' gives 9286; target=7912 no\n 92,86: 'rev_concat' gives 8692; target=7912 no\n 92,86: 'max*min+sum' gives 8090; target=7912 no\n 92,86: 'digitsum2' gives 625; target=7912 no\n 61,11: '+' gives 72; target=671 no\n 61,11: '-' gives 50; target=671 no\n 61,11: '*' gives 671; target=671 MATCH\n 61,11: 'concat' gives 6111; target=671 no\n 61,11: 'rev_concat' gives 1161; target=671 no\n 61,11: 'max*min+sum' gives 743; target=671 no\n 61,11: 'digitsum2' gives 81; target=671 no\nThe only operator consistent with all examples is '*'.\nApply to (65, 39):\n result = 2535\nFinal: \\boxed{2535}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 74,27 -> 47\n 28,18 -> 10\n 53,34 -> 19\nApply to: 15,13\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 74,27: '+' gives 101; target=47 no\n 74,27: '-' gives 47; target=47 MATCH\n 74,27: '*' gives 1998; target=47 no\n 74,27: 'concat' gives 7427; target=47 no\n 74,27: 'rev_concat' gives 2774; target=47 no\n 74,27: 'max*min+sum' gives 2099; target=47 no\n 74,27: 'digitsum2' gives 400; target=47 no\n 28,18: '+' gives 46; target=10 no\n 28,18: '-' gives 10; target=10 MATCH\n 28,18: '*' gives 504; target=10 no\n 28,18: 'concat' gives 2818; target=10 no\n 28,18: 'rev_concat' gives 1828; target=10 no\n 28,18: 'max*min+sum' gives 550; target=10 no\n 28,18: 'digitsum2' gives 361; target=10 no\n 53,34: '+' gives 87; target=19 no\n 53,34: '-' gives 19; target=19 MATCH\n 53,34: '*' gives 1802; target=19 no\n 53,34: 'concat' gives 5334; target=19 no\n 53,34: 'rev_concat' gives 3453; target=19 no\n 53,34: 'max*min+sum' gives 1889; target=19 no\n 53,34: 'digitsum2' gives 225; target=19 no\nThe only operator consistent with all examples is '-'.\nApply to (15, 13):\n result = 2\nFinal: \\boxed{2}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n I = 1 -> 40 + 1 = 41\n I = 1 -> 41 + 1 = 42\nFinal: \\boxed{42}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 17 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 17 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 7 * 10^0 * 981 = 6867\n running total = 16677\nSo F = 16677 centiNewtons = 166.77 N.\nFinal: \\boxed{166.77}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 34,56 -> 5634\n 83,42 -> 4283\n 29,37 -> 3729\nApply to: 77,33\n### Reasoning:\n<|cot_start|>Examples:\n 34,56 -> 5634\n 83,42 -> 4283\n 29,37 -> 3729\nCheck both candidate forms:\n concat(34,56)=3456 rev_concat(34,56)=5634 target=5634 rev_concat\n concat(83,42)=8342 rev_concat(83,42)=4283 target=4283 rev_concat\n concat(29,37)=2937 rev_concat(29,37)=3729 target=3729 rev_concat\nConclude operator: rev_concat.\nApply to (77, 33): answer = 3377\nFinal: \\boxed{3377}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01111011 -> 10111101\n 00101110 -> 00010111\n 01001110 -> 00100111\nApply to: 11001111\n### Reasoning:\n<|cot_start|>Given examples:\n 01111011 -> 10111101\n 00101110 -> 00010111\n 01001110 -> 00100111\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 1,0,0\n bit 1: 1,0,1 -> 0,0,0\n bit 2: 1,1,0 -> 1,0,1\n bit 3: 1,0,0 -> 1,1,0\n bit 4: 1,1,1 -> 1,0,0\n bit 5: 0,1,1 -> 1,1,1\n bit 6: 1,1,1 -> 0,1,1\n bit 7: 1,0,0 -> 1,1,1\nDeduce rule: rotate right 1.\nApply to 11001111:\n result = 11100111\nFinal: \\boxed{11100111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n qsfe qnaonxfa eykl guonfyyg\n### Reasoning:\n<|cot_start|>Cipher text: qsfe qnaonxfa eykl guonfyyg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='qsfe' candidate='alice' length-match=False\n cipher='qsfe' candidate='rabbit' length-match=False\n cipher='qsfe' candidate='hatter' length-match=False\n cipher='qsfe' candidate='cheshire' length-match=False\n cipher='qsfe' candidate='queen' length-match=False\n cipher='qsfe' candidate='tea' length-match=False\n cipher='qsfe' candidate='cake' length-match=True\n cipher='qsfe' candidate='garden' length-match=False\n cipher='qsfe' candidate='mushroom' length-match=False\n cipher='qsfe' candidate='card' length-match=True <- assign\n cipher='qsfe' candidate='card' length-match=True <- assign\n cipher='qsfe' candidate='wonderland' length-match=False\n cipher='qsfe' candidate='white' length-match=False\n cipher='qsfe' candidate='down' length-match=True\n cipher='qsfe' candidate='smile' length-match=False\n cipher='qsfe' candidate='smiled' length-match=False\n cipher='qsfe' candidate='looking' length-match=False\n cipher='qsfe' candidate='glass' length-match=False\n cipher='qsfe' candidate='march' length-match=False\n cipher='qsfe' candidate='hare' length-match=True\n cipher='qsfe' candidate='dormouse' length-match=False\n cipher='qnaonxfa' candidate='alice' length-match=False\n cipher='qnaonxfa' candidate='rabbit' length-match=False\n cipher='qnaonxfa' candidate='hatter' length-match=False\n cipher='qnaonxfa' candidate='cheshire' length-match=True <- assign\n cipher='qnaonxfa' candidate='queen' length-match=False\n cipher='qnaonxfa' candidate='tea' length-match=False\n cipher='qnaonxfa' candidate='cake' length-match=False\n cipher='qnaonxfa' candidate='garden' length-match=False\n cipher='qnaonxfa' candidate='mushroom' length-match=True\n cipher='qnaonxfa' candidate='card' length-match=False\n cipher='qnaonxfa' candidate='card' length-match=False\n cipher='qnaonxfa' candidate='wonderland' length-match=False\n cipher='qnaonxfa' candidate='white' length-match=False\n cipher='qnaonxfa' candidate='down' length-match=False\n cipher='qnaonxfa' candidate='smile' length-match=False\n cipher='qnaonxfa' candidate='smiled' length-match=False\n cipher='qnaonxfa' candidate='looking' length-match=False\n cipher='qnaonxfa' candidate='glass' length-match=False\n cipher='qnaonxfa' candidate='march' length-match=False\n cipher='qnaonxfa' candidate='hare' length-match=False\n cipher='qnaonxfa' candidate='dormouse' length-match=True\n cipher='eykl' candidate='alice' length-match=False\n cipher='eykl' candidate='rabbit' length-match=False\n cipher='eykl' candidate='hatter' length-match=False\n cipher='eykl' candidate='cheshire' length-match=False\n cipher='eykl' candidate='queen' length-match=False\n cipher='eykl' candidate='tea' length-match=False\n cipher='eykl' candidate='cake' length-match=True\n cipher='eykl' candidate='garden' length-match=False\n cipher='eykl' candidate='mushroom' length-match=False\n cipher='eykl' candidate='card' length-match=True\n cipher='eykl' candidate='card' length-match=True\n cipher='eykl' candidate='wonderland' length-match=False\n cipher='eykl' candidate='white' length-match=False\n cipher='eykl' candidate='down' length-match=True <- assign\n cipher='eykl' candidate='smile' length-match=False\n cipher='eykl' candidate='smiled' length-match=False\n cipher='eykl' candidate='looking' length-match=False\n cipher='eykl' candidate='glass' length-match=False\n cipher='eykl' candidate='march' length-match=False\n cipher='eykl' candidate='hare' length-match=True\n cipher='eykl' candidate='dormouse' length-match=False\n cipher='guonfyyg' candidate='alice' length-match=False\n cipher='guonfyyg' candidate='rabbit' length-match=False\n cipher='guonfyyg' candidate='hatter' length-match=False\n cipher='guonfyyg' candidate='cheshire' length-match=True\n cipher='guonfyyg' candidate='queen' length-match=False\n cipher='guonfyyg' candidate='tea' length-match=False\n cipher='guonfyyg' candidate='cake' length-match=False\n cipher='guonfyyg' candidate='garden' length-match=False\n cipher='guonfyyg' candidate='mushroom' length-match=True <- assign\n cipher='guonfyyg' candidate='card' length-match=False\n cipher='guonfyyg' candidate='card' length-match=False\n cipher='guonfyyg' candidate='wonderland' length-match=False\n cipher='guonfyyg' candidate='white' length-match=False\n cipher='guonfyyg' candidate='down' length-match=False\n cipher='guonfyyg' candidate='smile' length-match=False\n cipher='guonfyyg' candidate='smiled' length-match=False\n cipher='guonfyyg' candidate='looking' length-match=False\n cipher='guonfyyg' candidate='glass' length-match=False\n cipher='guonfyyg' candidate='march' length-match=False\n cipher='guonfyyg' candidate='hare' length-match=False\n cipher='guonfyyg' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n card cheshire down mushroom\nFinal: \\boxed{card cheshire down mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 76,95 -> 171\n 12,73 -> 85\n 40,45 -> 85\nApply to: 75,48\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 76,95: '+' gives 171; target=171 MATCH\n 76,95: '-' gives 19; target=171 no\n 76,95: '*' gives 7220; target=171 no\n 76,95: 'concat' gives 7695; target=171 no\n 76,95: 'rev_concat' gives 9576; target=171 no\n 76,95: 'max*min+sum' gives 7391; target=171 no\n 76,95: 'digitsum2' gives 729; target=171 no\n 12,73: '+' gives 85; target=85 MATCH\n 12,73: '-' gives 61; target=85 no\n 12,73: '*' gives 876; target=85 no\n 12,73: 'concat' gives 1273; target=85 no\n 12,73: 'rev_concat' gives 7312; target=85 no\n 12,73: 'max*min+sum' gives 961; target=85 no\n 12,73: 'digitsum2' gives 169; target=85 no\n 40,45: '+' gives 85; target=85 MATCH\n 40,45: '-' gives 5; target=85 no\n 40,45: '*' gives 1800; target=85 no\n 40,45: 'concat' gives 4045; target=85 no\n 40,45: 'rev_concat' gives 4540; target=85 no\n 40,45: 'max*min+sum' gives 1885; target=85 no\n 40,45: 'digitsum2' gives 169; target=85 no\nThe only operator consistent with all examples is '+'.\nApply to (75, 48):\n result = 123\nFinal: \\boxed{123}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n txgeur hwmau oimpu ijowgcci\n### Reasoning:\n<|cot_start|>Cipher text: txgeur hwmau oimpu ijowgcci\nTry each candidate Wonderland word against each ciphertext word:\n cipher='txgeur' candidate='alice' length-match=False\n cipher='txgeur' candidate='rabbit' length-match=True\n cipher='txgeur' candidate='hatter' length-match=True\n cipher='txgeur' candidate='cheshire' length-match=False\n cipher='txgeur' candidate='queen' length-match=False\n cipher='txgeur' candidate='tea' length-match=False\n cipher='txgeur' candidate='cake' length-match=False\n cipher='txgeur' candidate='garden' length-match=True <- assign\n cipher='txgeur' candidate='mushroom' length-match=False\n cipher='txgeur' candidate='card' length-match=False\n cipher='txgeur' candidate='card' length-match=False\n cipher='txgeur' candidate='wonderland' length-match=False\n cipher='txgeur' candidate='white' length-match=False\n cipher='txgeur' candidate='down' length-match=False\n cipher='txgeur' candidate='smile' length-match=False\n cipher='txgeur' candidate='smiled' length-match=True\n cipher='txgeur' candidate='looking' length-match=False\n cipher='txgeur' candidate='glass' length-match=False\n cipher='txgeur' candidate='march' length-match=False\n cipher='txgeur' candidate='hare' length-match=False\n cipher='txgeur' candidate='dormouse' length-match=False\n cipher='hwmau' candidate='alice' length-match=True\n cipher='hwmau' candidate='rabbit' length-match=False\n cipher='hwmau' candidate='hatter' length-match=False\n cipher='hwmau' candidate='cheshire' length-match=False\n cipher='hwmau' candidate='queen' length-match=True\n cipher='hwmau' candidate='tea' length-match=False\n cipher='hwmau' candidate='cake' length-match=False\n cipher='hwmau' candidate='garden' length-match=False\n cipher='hwmau' candidate='mushroom' length-match=False\n cipher='hwmau' candidate='card' length-match=False\n cipher='hwmau' candidate='card' length-match=False\n cipher='hwmau' candidate='wonderland' length-match=False\n cipher='hwmau' candidate='white' length-match=True <- assign\n cipher='hwmau' candidate='down' length-match=False\n cipher='hwmau' candidate='smile' length-match=True\n cipher='hwmau' candidate='smiled' length-match=False\n cipher='hwmau' candidate='looking' length-match=False\n cipher='hwmau' candidate='glass' length-match=True\n cipher='hwmau' candidate='march' length-match=True\n cipher='hwmau' candidate='hare' length-match=False\n cipher='hwmau' candidate='dormouse' length-match=False\n cipher='oimpu' candidate='alice' length-match=True\n cipher='oimpu' candidate='rabbit' length-match=False\n cipher='oimpu' candidate='hatter' length-match=False\n cipher='oimpu' candidate='cheshire' length-match=False\n cipher='oimpu' candidate='queen' length-match=True\n cipher='oimpu' candidate='tea' length-match=False\n cipher='oimpu' candidate='cake' length-match=False\n cipher='oimpu' candidate='garden' length-match=False\n cipher='oimpu' candidate='mushroom' length-match=False\n cipher='oimpu' candidate='card' length-match=False\n cipher='oimpu' candidate='card' length-match=False\n cipher='oimpu' candidate='wonderland' length-match=False\n cipher='oimpu' candidate='white' length-match=True\n cipher='oimpu' candidate='down' length-match=False\n cipher='oimpu' candidate='smile' length-match=True <- assign\n cipher='oimpu' candidate='smiled' length-match=False\n cipher='oimpu' candidate='looking' length-match=False\n cipher='oimpu' candidate='glass' length-match=True\n cipher='oimpu' candidate='march' length-match=True\n cipher='oimpu' candidate='hare' length-match=False\n cipher='oimpu' candidate='dormouse' length-match=False\n cipher='ijowgcci' candidate='alice' length-match=False\n cipher='ijowgcci' candidate='rabbit' length-match=False\n cipher='ijowgcci' candidate='hatter' length-match=False\n cipher='ijowgcci' candidate='cheshire' length-match=True\n cipher='ijowgcci' candidate='queen' length-match=False\n cipher='ijowgcci' candidate='tea' length-match=False\n cipher='ijowgcci' candidate='cake' length-match=False\n cipher='ijowgcci' candidate='garden' length-match=False\n cipher='ijowgcci' candidate='mushroom' length-match=True <- assign\n cipher='ijowgcci' candidate='card' length-match=False\n cipher='ijowgcci' candidate='card' length-match=False\n cipher='ijowgcci' candidate='wonderland' length-match=False\n cipher='ijowgcci' candidate='white' length-match=False\n cipher='ijowgcci' candidate='down' length-match=False\n cipher='ijowgcci' candidate='smile' length-match=False\n cipher='ijowgcci' candidate='smiled' length-match=False\n cipher='ijowgcci' candidate='looking' length-match=False\n cipher='ijowgcci' candidate='glass' length-match=False\n cipher='ijowgcci' candidate='march' length-match=False\n cipher='ijowgcci' candidate='hare' length-match=False\n cipher='ijowgcci' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n garden white smile mushroom\nFinal: \\boxed{garden white smile mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n kliiyh rwvjwykv jcyovn xevvg\n### Reasoning:\n<|cot_start|>Cipher text: kliiyh rwvjwykv jcyovn xevvg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='kliiyh' candidate='alice' length-match=False\n cipher='kliiyh' candidate='rabbit' length-match=True <- assign\n cipher='kliiyh' candidate='hatter' length-match=True\n cipher='kliiyh' candidate='cheshire' length-match=False\n cipher='kliiyh' candidate='queen' length-match=False\n cipher='kliiyh' candidate='tea' length-match=False\n cipher='kliiyh' candidate='cake' length-match=False\n cipher='kliiyh' candidate='garden' length-match=True\n cipher='kliiyh' candidate='mushroom' length-match=False\n cipher='kliiyh' candidate='card' length-match=False\n cipher='kliiyh' candidate='card' length-match=False\n cipher='kliiyh' candidate='wonderland' length-match=False\n cipher='kliiyh' candidate='white' length-match=False\n cipher='kliiyh' candidate='down' length-match=False\n cipher='kliiyh' candidate='smile' length-match=False\n cipher='kliiyh' candidate='smiled' length-match=True\n cipher='kliiyh' candidate='looking' length-match=False\n cipher='kliiyh' candidate='glass' length-match=False\n cipher='kliiyh' candidate='march' length-match=False\n cipher='kliiyh' candidate='hare' length-match=False\n cipher='kliiyh' candidate='dormouse' length-match=False\n cipher='rwvjwykv' candidate='alice' length-match=False\n cipher='rwvjwykv' candidate='rabbit' length-match=False\n cipher='rwvjwykv' candidate='hatter' length-match=False\n cipher='rwvjwykv' candidate='cheshire' length-match=True <- assign\n cipher='rwvjwykv' candidate='queen' length-match=False\n cipher='rwvjwykv' candidate='tea' length-match=False\n cipher='rwvjwykv' candidate='cake' length-match=False\n cipher='rwvjwykv' candidate='garden' length-match=False\n cipher='rwvjwykv' candidate='mushroom' length-match=True\n cipher='rwvjwykv' candidate='card' length-match=False\n cipher='rwvjwykv' candidate='card' length-match=False\n cipher='rwvjwykv' candidate='wonderland' length-match=False\n cipher='rwvjwykv' candidate='white' length-match=False\n cipher='rwvjwykv' candidate='down' length-match=False\n cipher='rwvjwykv' candidate='smile' length-match=False\n cipher='rwvjwykv' candidate='smiled' length-match=False\n cipher='rwvjwykv' candidate='looking' length-match=False\n cipher='rwvjwykv' candidate='glass' length-match=False\n cipher='rwvjwykv' candidate='march' length-match=False\n cipher='rwvjwykv' candidate='hare' length-match=False\n cipher='rwvjwykv' candidate='dormouse' length-match=True\n cipher='jcyovn' candidate='alice' length-match=False\n cipher='jcyovn' candidate='rabbit' length-match=True\n cipher='jcyovn' candidate='hatter' length-match=True\n cipher='jcyovn' candidate='cheshire' length-match=False\n cipher='jcyovn' candidate='queen' length-match=False\n cipher='jcyovn' candidate='tea' length-match=False\n cipher='jcyovn' candidate='cake' length-match=False\n cipher='jcyovn' candidate='garden' length-match=True\n cipher='jcyovn' candidate='mushroom' length-match=False\n cipher='jcyovn' candidate='card' length-match=False\n cipher='jcyovn' candidate='card' length-match=False\n cipher='jcyovn' candidate='wonderland' length-match=False\n cipher='jcyovn' candidate='white' length-match=False\n cipher='jcyovn' candidate='down' length-match=False\n cipher='jcyovn' candidate='smile' length-match=False\n cipher='jcyovn' candidate='smiled' length-match=True <- assign\n cipher='jcyovn' candidate='looking' length-match=False\n cipher='jcyovn' candidate='glass' length-match=False\n cipher='jcyovn' candidate='march' length-match=False\n cipher='jcyovn' candidate='hare' length-match=False\n cipher='jcyovn' candidate='dormouse' length-match=False\n cipher='xevvg' candidate='alice' length-match=True\n cipher='xevvg' candidate='rabbit' length-match=False\n cipher='xevvg' candidate='hatter' length-match=False\n cipher='xevvg' candidate='cheshire' length-match=False\n cipher='xevvg' candidate='queen' length-match=True <- assign\n cipher='xevvg' candidate='tea' length-match=False\n cipher='xevvg' candidate='cake' length-match=False\n cipher='xevvg' candidate='garden' length-match=False\n cipher='xevvg' candidate='mushroom' length-match=False\n cipher='xevvg' candidate='card' length-match=False\n cipher='xevvg' candidate='card' length-match=False\n cipher='xevvg' candidate='wonderland' length-match=False\n cipher='xevvg' candidate='white' length-match=True\n cipher='xevvg' candidate='down' length-match=False\n cipher='xevvg' candidate='smile' length-match=True\n cipher='xevvg' candidate='smiled' length-match=False\n cipher='xevvg' candidate='looking' length-match=False\n cipher='xevvg' candidate='glass' length-match=True\n cipher='xevvg' candidate='march' length-match=True\n cipher='xevvg' candidate='hare' length-match=False\n cipher='xevvg' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n rabbit cheshire smiled queen\nFinal: \\boxed{rabbit cheshire smiled queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n kutoq kutoqg ureca crlq\n### Reasoning:\n<|cot_start|>Cipher text: kutoq kutoqg ureca crlq\nTry each candidate Wonderland word against each ciphertext word:\n cipher='kutoq' candidate='alice' length-match=True\n cipher='kutoq' candidate='rabbit' length-match=False\n cipher='kutoq' candidate='hatter' length-match=False\n cipher='kutoq' candidate='cheshire' length-match=False\n cipher='kutoq' candidate='queen' length-match=True\n cipher='kutoq' candidate='tea' length-match=False\n cipher='kutoq' candidate='cake' length-match=False\n cipher='kutoq' candidate='garden' length-match=False\n cipher='kutoq' candidate='mushroom' length-match=False\n cipher='kutoq' candidate='card' length-match=False\n cipher='kutoq' candidate='card' length-match=False\n cipher='kutoq' candidate='wonderland' length-match=False\n cipher='kutoq' candidate='white' length-match=True\n cipher='kutoq' candidate='down' length-match=False\n cipher='kutoq' candidate='smile' length-match=True <- assign\n cipher='kutoq' candidate='smiled' length-match=False\n cipher='kutoq' candidate='looking' length-match=False\n cipher='kutoq' candidate='glass' length-match=True\n cipher='kutoq' candidate='march' length-match=True\n cipher='kutoq' candidate='hare' length-match=False\n cipher='kutoq' candidate='dormouse' length-match=False\n cipher='kutoqg' candidate='alice' length-match=False\n cipher='kutoqg' candidate='rabbit' length-match=True\n cipher='kutoqg' candidate='hatter' length-match=True\n cipher='kutoqg' candidate='cheshire' length-match=False\n cipher='kutoqg' candidate='queen' length-match=False\n cipher='kutoqg' candidate='tea' length-match=False\n cipher='kutoqg' candidate='cake' length-match=False\n cipher='kutoqg' candidate='garden' length-match=True\n cipher='kutoqg' candidate='mushroom' length-match=False\n cipher='kutoqg' candidate='card' length-match=False\n cipher='kutoqg' candidate='card' length-match=False\n cipher='kutoqg' candidate='wonderland' length-match=False\n cipher='kutoqg' candidate='white' length-match=False\n cipher='kutoqg' candidate='down' length-match=False\n cipher='kutoqg' candidate='smile' length-match=False\n cipher='kutoqg' candidate='smiled' length-match=True <- assign\n cipher='kutoqg' candidate='looking' length-match=False\n cipher='kutoqg' candidate='glass' length-match=False\n cipher='kutoqg' candidate='march' length-match=False\n cipher='kutoqg' candidate='hare' length-match=False\n cipher='kutoqg' candidate='dormouse' length-match=False\n cipher='ureca' candidate='alice' length-match=True\n cipher='ureca' candidate='rabbit' length-match=False\n cipher='ureca' candidate='hatter' length-match=False\n cipher='ureca' candidate='cheshire' length-match=False\n cipher='ureca' candidate='queen' length-match=True\n cipher='ureca' candidate='tea' length-match=False\n cipher='ureca' candidate='cake' length-match=False\n cipher='ureca' candidate='garden' length-match=False\n cipher='ureca' candidate='mushroom' length-match=False\n cipher='ureca' candidate='card' length-match=False\n cipher='ureca' candidate='card' length-match=False\n cipher='ureca' candidate='wonderland' length-match=False\n cipher='ureca' candidate='white' length-match=True\n cipher='ureca' candidate='down' length-match=False\n cipher='ureca' candidate='smile' length-match=True\n cipher='ureca' candidate='smiled' length-match=False\n cipher='ureca' candidate='looking' length-match=False\n cipher='ureca' candidate='glass' length-match=True\n cipher='ureca' candidate='march' length-match=True <- assign\n cipher='ureca' candidate='hare' length-match=False\n cipher='ureca' candidate='dormouse' length-match=False\n cipher='crlq' candidate='alice' length-match=False\n cipher='crlq' candidate='rabbit' length-match=False\n cipher='crlq' candidate='hatter' length-match=False\n cipher='crlq' candidate='cheshire' length-match=False\n cipher='crlq' candidate='queen' length-match=False\n cipher='crlq' candidate='tea' length-match=False\n cipher='crlq' candidate='cake' length-match=True <- assign\n cipher='crlq' candidate='garden' length-match=False\n cipher='crlq' candidate='mushroom' length-match=False\n cipher='crlq' candidate='card' length-match=True\n cipher='crlq' candidate='card' length-match=True\n cipher='crlq' candidate='wonderland' length-match=False\n cipher='crlq' candidate='white' length-match=False\n cipher='crlq' candidate='down' length-match=True\n cipher='crlq' candidate='smile' length-match=False\n cipher='crlq' candidate='smiled' length-match=False\n cipher='crlq' candidate='looking' length-match=False\n cipher='crlq' candidate='glass' length-match=False\n cipher='crlq' candidate='march' length-match=False\n cipher='crlq' candidate='hare' length-match=True\n cipher='crlq' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n smile smiled march cake\nFinal: \\boxed{smile smiled march cake}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n atsftibs uvvlixe gqssx akls\n### Reasoning:\n<|cot_start|>Cipher text: atsftibs uvvlixe gqssx akls\nTry each candidate Wonderland word against each ciphertext word:\n cipher='atsftibs' candidate='alice' length-match=False\n cipher='atsftibs' candidate='rabbit' length-match=False\n cipher='atsftibs' candidate='hatter' length-match=False\n cipher='atsftibs' candidate='cheshire' length-match=True <- assign\n cipher='atsftibs' candidate='queen' length-match=False\n cipher='atsftibs' candidate='tea' length-match=False\n cipher='atsftibs' candidate='cake' length-match=False\n cipher='atsftibs' candidate='garden' length-match=False\n cipher='atsftibs' candidate='mushroom' length-match=True\n cipher='atsftibs' candidate='card' length-match=False\n cipher='atsftibs' candidate='card' length-match=False\n cipher='atsftibs' candidate='wonderland' length-match=False\n cipher='atsftibs' candidate='white' length-match=False\n cipher='atsftibs' candidate='down' length-match=False\n cipher='atsftibs' candidate='smile' length-match=False\n cipher='atsftibs' candidate='smiled' length-match=False\n cipher='atsftibs' candidate='looking' length-match=False\n cipher='atsftibs' candidate='glass' length-match=False\n cipher='atsftibs' candidate='march' length-match=False\n cipher='atsftibs' candidate='hare' length-match=False\n cipher='atsftibs' candidate='dormouse' length-match=True\n cipher='uvvlixe' candidate='alice' length-match=False\n cipher='uvvlixe' candidate='rabbit' length-match=False\n cipher='uvvlixe' candidate='hatter' length-match=False\n cipher='uvvlixe' candidate='cheshire' length-match=False\n cipher='uvvlixe' candidate='queen' length-match=False\n cipher='uvvlixe' candidate='tea' length-match=False\n cipher='uvvlixe' candidate='cake' length-match=False\n cipher='uvvlixe' candidate='garden' length-match=False\n cipher='uvvlixe' candidate='mushroom' length-match=False\n cipher='uvvlixe' candidate='card' length-match=False\n cipher='uvvlixe' candidate='card' length-match=False\n cipher='uvvlixe' candidate='wonderland' length-match=False\n cipher='uvvlixe' candidate='white' length-match=False\n cipher='uvvlixe' candidate='down' length-match=False\n cipher='uvvlixe' candidate='smile' length-match=False\n cipher='uvvlixe' candidate='smiled' length-match=False\n cipher='uvvlixe' candidate='looking' length-match=True <- assign\n cipher='uvvlixe' candidate='glass' length-match=False\n cipher='uvvlixe' candidate='march' length-match=False\n cipher='uvvlixe' candidate='hare' length-match=False\n cipher='uvvlixe' candidate='dormouse' length-match=False\n cipher='gqssx' candidate='alice' length-match=True\n cipher='gqssx' candidate='rabbit' length-match=False\n cipher='gqssx' candidate='hatter' length-match=False\n cipher='gqssx' candidate='cheshire' length-match=False\n cipher='gqssx' candidate='queen' length-match=True <- assign\n cipher='gqssx' candidate='tea' length-match=False\n cipher='gqssx' candidate='cake' length-match=False\n cipher='gqssx' candidate='garden' length-match=False\n cipher='gqssx' candidate='mushroom' length-match=False\n cipher='gqssx' candidate='card' length-match=False\n cipher='gqssx' candidate='card' length-match=False\n cipher='gqssx' candidate='wonderland' length-match=False\n cipher='gqssx' candidate='white' length-match=True\n cipher='gqssx' candidate='down' length-match=False\n cipher='gqssx' candidate='smile' length-match=True\n cipher='gqssx' candidate='smiled' length-match=False\n cipher='gqssx' candidate='looking' length-match=False\n cipher='gqssx' candidate='glass' length-match=True\n cipher='gqssx' candidate='march' length-match=True\n cipher='gqssx' candidate='hare' length-match=False\n cipher='gqssx' candidate='dormouse' length-match=False\n cipher='akls' candidate='alice' length-match=False\n cipher='akls' candidate='rabbit' length-match=False\n cipher='akls' candidate='hatter' length-match=False\n cipher='akls' candidate='cheshire' length-match=False\n cipher='akls' candidate='queen' length-match=False\n cipher='akls' candidate='tea' length-match=False\n cipher='akls' candidate='cake' length-match=True <- assign\n cipher='akls' candidate='garden' length-match=False\n cipher='akls' candidate='mushroom' length-match=False\n cipher='akls' candidate='card' length-match=True\n cipher='akls' candidate='card' length-match=True\n cipher='akls' candidate='wonderland' length-match=False\n cipher='akls' candidate='white' length-match=False\n cipher='akls' candidate='down' length-match=True\n cipher='akls' candidate='smile' length-match=False\n cipher='akls' candidate='smiled' length-match=False\n cipher='akls' candidate='looking' length-match=False\n cipher='akls' candidate='glass' length-match=False\n cipher='akls' candidate='march' length-match=False\n cipher='akls' candidate='hare' length-match=True\n cipher='akls' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cheshire looking queen cake\nFinal: \\boxed{cheshire looking queen cake}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 48,13 -> 35\n 50,24 -> 26\n 26,89 -> 63\nApply to: 91,77\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 48,13: '+' gives 61; target=35 no\n 48,13: '-' gives 35; target=35 MATCH\n 48,13: '*' gives 624; target=35 no\n 48,13: 'concat' gives 4813; target=35 no\n 48,13: 'rev_concat' gives 1348; target=35 no\n 48,13: 'max*min+sum' gives 685; target=35 no\n 48,13: 'digitsum2' gives 256; target=35 no\n 50,24: '+' gives 74; target=26 no\n 50,24: '-' gives 26; target=26 MATCH\n 50,24: '*' gives 1200; target=26 no\n 50,24: 'concat' gives 5024; target=26 no\n 50,24: 'rev_concat' gives 2450; target=26 no\n 50,24: 'max*min+sum' gives 1274; target=26 no\n 50,24: 'digitsum2' gives 121; target=26 no\n 26,89: '+' gives 115; target=63 no\n 26,89: '-' gives 63; target=63 MATCH\n 26,89: '*' gives 2314; target=63 no\n 26,89: 'concat' gives 2689; target=63 no\n 26,89: 'rev_concat' gives 8926; target=63 no\n 26,89: 'max*min+sum' gives 2429; target=63 no\n 26,89: 'digitsum2' gives 625; target=63 no\nThe only operator consistent with all examples is '-'.\nApply to (91, 77):\n result = 14\nFinal: \\boxed{14}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 69 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 69 litres = 69 * 1000 millilitres.\nCompute step by step:\n 6 * 10^1 * 1000 = 60000\n running total = 60000\n 9 * 10^0 * 1000 = 9000\n running total = 69000\nFinal: \\boxed{69000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11000011 -> 11000011\n 01110110 -> 01101110\n 10010000 -> 00001001\nApply to: 11111000\n### Reasoning:\n<|cot_start|>Given examples:\n 11000011 -> 11000011\n 01110110 -> 01101110\n 10010000 -> 00001001\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 1,0,0\n bit 1: 1,1,0 -> 1,1,0\n bit 2: 0,1,0 -> 0,1,0\n bit 3: 0,1,1 -> 0,0,0\n bit 4: 0,0,0 -> 0,1,1\n bit 5: 0,1,0 -> 0,1,0\n bit 6: 1,1,0 -> 1,1,0\n bit 7: 1,0,0 -> 1,0,1\nDeduce rule: reverse bits.\nApply to 11111000:\n result = 00011111\nFinal: \\boxed{00011111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 69,35 -> 3569\n 98,33 -> 3398\n 73,68 -> 6873\nApply to: 14,62\n### Reasoning:\n<|cot_start|>Examples:\n 69,35 -> 3569\n 98,33 -> 3398\n 73,68 -> 6873\nCheck both candidate forms:\n concat(69,35)=6935 rev_concat(69,35)=3569 target=3569 rev_concat\n concat(98,33)=9833 rev_concat(98,33)=3398 target=3398 rev_concat\n concat(73,68)=7368 rev_concat(73,68)=6873 target=6873 rev_concat\nConclude operator: rev_concat.\nApply to (14, 62): answer = 6214\nFinal: \\boxed{6214}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral I to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n I = 1 -> 0 + 1 = 1\nFinal: \\boxed{1}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n oayr kammrq gsrrv bujv\n### Reasoning:\n<|cot_start|>Cipher text: oayr kammrq gsrrv bujv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='oayr' candidate='alice' length-match=False\n cipher='oayr' candidate='rabbit' length-match=False\n cipher='oayr' candidate='hatter' length-match=False\n cipher='oayr' candidate='cheshire' length-match=False\n cipher='oayr' candidate='queen' length-match=False\n cipher='oayr' candidate='tea' length-match=False\n cipher='oayr' candidate='cake' length-match=True <- assign\n cipher='oayr' candidate='garden' length-match=False\n cipher='oayr' candidate='mushroom' length-match=False\n cipher='oayr' candidate='card' length-match=True\n cipher='oayr' candidate='card' length-match=True\n cipher='oayr' candidate='wonderland' length-match=False\n cipher='oayr' candidate='white' length-match=False\n cipher='oayr' candidate='down' length-match=True\n cipher='oayr' candidate='smile' length-match=False\n cipher='oayr' candidate='smiled' length-match=False\n cipher='oayr' candidate='looking' length-match=False\n cipher='oayr' candidate='glass' length-match=False\n cipher='oayr' candidate='march' length-match=False\n cipher='oayr' candidate='hare' length-match=True\n cipher='oayr' candidate='dormouse' length-match=False\n cipher='kammrq' candidate='alice' length-match=False\n cipher='kammrq' candidate='rabbit' length-match=True\n cipher='kammrq' candidate='hatter' length-match=True <- assign\n cipher='kammrq' candidate='cheshire' length-match=False\n cipher='kammrq' candidate='queen' length-match=False\n cipher='kammrq' candidate='tea' length-match=False\n cipher='kammrq' candidate='cake' length-match=False\n cipher='kammrq' candidate='garden' length-match=True\n cipher='kammrq' candidate='mushroom' length-match=False\n cipher='kammrq' candidate='card' length-match=False\n cipher='kammrq' candidate='card' length-match=False\n cipher='kammrq' candidate='wonderland' length-match=False\n cipher='kammrq' candidate='white' length-match=False\n cipher='kammrq' candidate='down' length-match=False\n cipher='kammrq' candidate='smile' length-match=False\n cipher='kammrq' candidate='smiled' length-match=True\n cipher='kammrq' candidate='looking' length-match=False\n cipher='kammrq' candidate='glass' length-match=False\n cipher='kammrq' candidate='march' length-match=False\n cipher='kammrq' candidate='hare' length-match=False\n cipher='kammrq' candidate='dormouse' length-match=False\n cipher='gsrrv' candidate='alice' length-match=True\n cipher='gsrrv' candidate='rabbit' length-match=False\n cipher='gsrrv' candidate='hatter' length-match=False\n cipher='gsrrv' candidate='cheshire' length-match=False\n cipher='gsrrv' candidate='queen' length-match=True <- assign\n cipher='gsrrv' candidate='tea' length-match=False\n cipher='gsrrv' candidate='cake' length-match=False\n cipher='gsrrv' candidate='garden' length-match=False\n cipher='gsrrv' candidate='mushroom' length-match=False\n cipher='gsrrv' candidate='card' length-match=False\n cipher='gsrrv' candidate='card' length-match=False\n cipher='gsrrv' candidate='wonderland' length-match=False\n cipher='gsrrv' candidate='white' length-match=True\n cipher='gsrrv' candidate='down' length-match=False\n cipher='gsrrv' candidate='smile' length-match=True\n cipher='gsrrv' candidate='smiled' length-match=False\n cipher='gsrrv' candidate='looking' length-match=False\n cipher='gsrrv' candidate='glass' length-match=True\n cipher='gsrrv' candidate='march' length-match=True\n cipher='gsrrv' candidate='hare' length-match=False\n cipher='gsrrv' candidate='dormouse' length-match=False\n cipher='bujv' candidate='alice' length-match=False\n cipher='bujv' candidate='rabbit' length-match=False\n cipher='bujv' candidate='hatter' length-match=False\n cipher='bujv' candidate='cheshire' length-match=False\n cipher='bujv' candidate='queen' length-match=False\n cipher='bujv' candidate='tea' length-match=False\n cipher='bujv' candidate='cake' length-match=True\n cipher='bujv' candidate='garden' length-match=False\n cipher='bujv' candidate='mushroom' length-match=False\n cipher='bujv' candidate='card' length-match=True\n cipher='bujv' candidate='card' length-match=True\n cipher='bujv' candidate='wonderland' length-match=False\n cipher='bujv' candidate='white' length-match=False\n cipher='bujv' candidate='down' length-match=True <- assign\n cipher='bujv' candidate='smile' length-match=False\n cipher='bujv' candidate='smiled' length-match=False\n cipher='bujv' candidate='looking' length-match=False\n cipher='bujv' candidate='glass' length-match=False\n cipher='bujv' candidate='march' length-match=False\n cipher='bujv' candidate='hare' length-match=True\n cipher='bujv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cake hatter queen down\nFinal: \\boxed{cake hatter queen down}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXXVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n X = 10 -> 70 + 10 = 80\n V = 5 -> 80 + 5 = 85\n I = 1 -> 85 + 1 = 86\n I = 1 -> 86 + 1 = 87\n I = 1 -> 87 + 1 = 88\nFinal: \\boxed{88}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 27 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 27 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 7 * 10^0 * 981 = 6867\n running total = 26487\nSo F = 26487 centiNewtons = 264.87 N.\nFinal: \\boxed{264.87}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 19 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 19 kilometres = 19 * 1000 metres.\nCompute step by step:\n 1 * 10^1 * 1000 = 10000\n running total = 10000\n 9 * 10^0 * 1000 = 9000\n running total = 19000\nFinal: \\boxed{19000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 25 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 25 kilometres = 25 * 1000 metres.\nCompute step by step:\n 2 * 10^1 * 1000 = 20000\n running total = 20000\n 5 * 10^0 * 1000 = 5000\n running total = 25000\nFinal: \\boxed{25000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n I = 1 -> 70 + 1 = 71\nFinal: \\boxed{71}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n adzserpizs virs cuype fteez\n### Reasoning:\n<|cot_start|>Cipher text: adzserpizs virs cuype fteez\nTry each candidate Wonderland word against each ciphertext word:\n cipher='adzserpizs' candidate='alice' length-match=False\n cipher='adzserpizs' candidate='rabbit' length-match=False\n cipher='adzserpizs' candidate='hatter' length-match=False\n cipher='adzserpizs' candidate='cheshire' length-match=False\n cipher='adzserpizs' candidate='queen' length-match=False\n cipher='adzserpizs' candidate='tea' length-match=False\n cipher='adzserpizs' candidate='cake' length-match=False\n cipher='adzserpizs' candidate='garden' length-match=False\n cipher='adzserpizs' candidate='mushroom' length-match=False\n cipher='adzserpizs' candidate='card' length-match=False\n cipher='adzserpizs' candidate='card' length-match=False\n cipher='adzserpizs' candidate='wonderland' length-match=True <- assign\n cipher='adzserpizs' candidate='white' length-match=False\n cipher='adzserpizs' candidate='down' length-match=False\n cipher='adzserpizs' candidate='smile' length-match=False\n cipher='adzserpizs' candidate='smiled' length-match=False\n cipher='adzserpizs' candidate='looking' length-match=False\n cipher='adzserpizs' candidate='glass' length-match=False\n cipher='adzserpizs' candidate='march' length-match=False\n cipher='adzserpizs' candidate='hare' length-match=False\n cipher='adzserpizs' candidate='dormouse' length-match=False\n cipher='virs' candidate='alice' length-match=False\n cipher='virs' candidate='rabbit' length-match=False\n cipher='virs' candidate='hatter' length-match=False\n cipher='virs' candidate='cheshire' length-match=False\n cipher='virs' candidate='queen' length-match=False\n cipher='virs' candidate='tea' length-match=False\n cipher='virs' candidate='cake' length-match=True\n cipher='virs' candidate='garden' length-match=False\n cipher='virs' candidate='mushroom' length-match=False\n cipher='virs' candidate='card' length-match=True <- assign\n cipher='virs' candidate='card' length-match=True <- assign\n cipher='virs' candidate='wonderland' length-match=False\n cipher='virs' candidate='white' length-match=False\n cipher='virs' candidate='down' length-match=True\n cipher='virs' candidate='smile' length-match=False\n cipher='virs' candidate='smiled' length-match=False\n cipher='virs' candidate='looking' length-match=False\n cipher='virs' candidate='glass' length-match=False\n cipher='virs' candidate='march' length-match=False\n cipher='virs' candidate='hare' length-match=True\n cipher='virs' candidate='dormouse' length-match=False\n cipher='cuype' candidate='alice' length-match=True\n cipher='cuype' candidate='rabbit' length-match=False\n cipher='cuype' candidate='hatter' length-match=False\n cipher='cuype' candidate='cheshire' length-match=False\n cipher='cuype' candidate='queen' length-match=True\n cipher='cuype' candidate='tea' length-match=False\n cipher='cuype' candidate='cake' length-match=False\n cipher='cuype' candidate='garden' length-match=False\n cipher='cuype' candidate='mushroom' length-match=False\n cipher='cuype' candidate='card' length-match=False\n cipher='cuype' candidate='card' length-match=False\n cipher='cuype' candidate='wonderland' length-match=False\n cipher='cuype' candidate='white' length-match=True\n cipher='cuype' candidate='down' length-match=False\n cipher='cuype' candidate='smile' length-match=True <- assign\n cipher='cuype' candidate='smiled' length-match=False\n cipher='cuype' candidate='looking' length-match=False\n cipher='cuype' candidate='glass' length-match=True\n cipher='cuype' candidate='march' length-match=True\n cipher='cuype' candidate='hare' length-match=False\n cipher='cuype' candidate='dormouse' length-match=False\n cipher='fteez' candidate='alice' length-match=True\n cipher='fteez' candidate='rabbit' length-match=False\n cipher='fteez' candidate='hatter' length-match=False\n cipher='fteez' candidate='cheshire' length-match=False\n cipher='fteez' candidate='queen' length-match=True <- assign\n cipher='fteez' candidate='tea' length-match=False\n cipher='fteez' candidate='cake' length-match=False\n cipher='fteez' candidate='garden' length-match=False\n cipher='fteez' candidate='mushroom' length-match=False\n cipher='fteez' candidate='card' length-match=False\n cipher='fteez' candidate='card' length-match=False\n cipher='fteez' candidate='wonderland' length-match=False\n cipher='fteez' candidate='white' length-match=True\n cipher='fteez' candidate='down' length-match=False\n cipher='fteez' candidate='smile' length-match=True\n cipher='fteez' candidate='smiled' length-match=False\n cipher='fteez' candidate='looking' length-match=False\n cipher='fteez' candidate='glass' length-match=True\n cipher='fteez' candidate='march' length-match=True\n cipher='fteez' candidate='hare' length-match=False\n cipher='fteez' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n wonderland card smile queen\nFinal: \\boxed{wonderland card smile queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n gjen gunoukmn ajmgu gjmc\n### Reasoning:\n<|cot_start|>Cipher text: gjen gunoukmn ajmgu gjmc\nTry each candidate Wonderland word against each ciphertext word:\n cipher='gjen' candidate='alice' length-match=False\n cipher='gjen' candidate='rabbit' length-match=False\n cipher='gjen' candidate='hatter' length-match=False\n cipher='gjen' candidate='cheshire' length-match=False\n cipher='gjen' candidate='queen' length-match=False\n cipher='gjen' candidate='tea' length-match=False\n cipher='gjen' candidate='cake' length-match=True <- assign\n cipher='gjen' candidate='garden' length-match=False\n cipher='gjen' candidate='mushroom' length-match=False\n cipher='gjen' candidate='card' length-match=True\n cipher='gjen' candidate='card' length-match=True\n cipher='gjen' candidate='wonderland' length-match=False\n cipher='gjen' candidate='white' length-match=False\n cipher='gjen' candidate='down' length-match=True\n cipher='gjen' candidate='smile' length-match=False\n cipher='gjen' candidate='smiled' length-match=False\n cipher='gjen' candidate='looking' length-match=False\n cipher='gjen' candidate='glass' length-match=False\n cipher='gjen' candidate='march' length-match=False\n cipher='gjen' candidate='hare' length-match=True\n cipher='gjen' candidate='dormouse' length-match=False\n cipher='gunoukmn' candidate='alice' length-match=False\n cipher='gunoukmn' candidate='rabbit' length-match=False\n cipher='gunoukmn' candidate='hatter' length-match=False\n cipher='gunoukmn' candidate='cheshire' length-match=True <- assign\n cipher='gunoukmn' candidate='queen' length-match=False\n cipher='gunoukmn' candidate='tea' length-match=False\n cipher='gunoukmn' candidate='cake' length-match=False\n cipher='gunoukmn' candidate='garden' length-match=False\n cipher='gunoukmn' candidate='mushroom' length-match=True\n cipher='gunoukmn' candidate='card' length-match=False\n cipher='gunoukmn' candidate='card' length-match=False\n cipher='gunoukmn' candidate='wonderland' length-match=False\n cipher='gunoukmn' candidate='white' length-match=False\n cipher='gunoukmn' candidate='down' length-match=False\n cipher='gunoukmn' candidate='smile' length-match=False\n cipher='gunoukmn' candidate='smiled' length-match=False\n cipher='gunoukmn' candidate='looking' length-match=False\n cipher='gunoukmn' candidate='glass' length-match=False\n cipher='gunoukmn' candidate='march' length-match=False\n cipher='gunoukmn' candidate='hare' length-match=False\n cipher='gunoukmn' candidate='dormouse' length-match=True\n cipher='ajmgu' candidate='alice' length-match=True\n cipher='ajmgu' candidate='rabbit' length-match=False\n cipher='ajmgu' candidate='hatter' length-match=False\n cipher='ajmgu' candidate='cheshire' length-match=False\n cipher='ajmgu' candidate='queen' length-match=True\n cipher='ajmgu' candidate='tea' length-match=False\n cipher='ajmgu' candidate='cake' length-match=False\n cipher='ajmgu' candidate='garden' length-match=False\n cipher='ajmgu' candidate='mushroom' length-match=False\n cipher='ajmgu' candidate='card' length-match=False\n cipher='ajmgu' candidate='card' length-match=False\n cipher='ajmgu' candidate='wonderland' length-match=False\n cipher='ajmgu' candidate='white' length-match=True\n cipher='ajmgu' candidate='down' length-match=False\n cipher='ajmgu' candidate='smile' length-match=True\n cipher='ajmgu' candidate='smiled' length-match=False\n cipher='ajmgu' candidate='looking' length-match=False\n cipher='ajmgu' candidate='glass' length-match=True\n cipher='ajmgu' candidate='march' length-match=True <- assign\n cipher='ajmgu' candidate='hare' length-match=False\n cipher='ajmgu' candidate='dormouse' length-match=False\n cipher='gjmc' candidate='alice' length-match=False\n cipher='gjmc' candidate='rabbit' length-match=False\n cipher='gjmc' candidate='hatter' length-match=False\n cipher='gjmc' candidate='cheshire' length-match=False\n cipher='gjmc' candidate='queen' length-match=False\n cipher='gjmc' candidate='tea' length-match=False\n cipher='gjmc' candidate='cake' length-match=True\n cipher='gjmc' candidate='garden' length-match=False\n cipher='gjmc' candidate='mushroom' length-match=False\n cipher='gjmc' candidate='card' length-match=True <- assign\n cipher='gjmc' candidate='card' length-match=True <- assign\n cipher='gjmc' candidate='wonderland' length-match=False\n cipher='gjmc' candidate='white' length-match=False\n cipher='gjmc' candidate='down' length-match=True\n cipher='gjmc' candidate='smile' length-match=False\n cipher='gjmc' candidate='smiled' length-match=False\n cipher='gjmc' candidate='looking' length-match=False\n cipher='gjmc' candidate='glass' length-match=False\n cipher='gjmc' candidate='march' length-match=False\n cipher='gjmc' candidate='hare' length-match=True\n cipher='gjmc' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cake cheshire march card\nFinal: \\boxed{cake cheshire march card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01000111 -> 00010010\n 00001010 -> 01011111\n 01000101 -> 00010000\nApply to: 00110100\n### Reasoning:\n<|cot_start|>Given examples:\n 01000111 -> 00010010\n 00001010 -> 01011111\n 01000101 -> 00010000\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,0,0\n bit 1: 1,0,1 -> 0,1,0\n bit 2: 0,0,0 -> 0,0,0\n bit 3: 0,0,0 -> 1,1,1\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 1,0,1 -> 0,1,0\n bit 6: 1,1,0 -> 1,1,0\n bit 7: 1,0,1 -> 0,1,0\nDeduce rule: xor 0x55.\nApply to 00110100:\n result = 01100001\nFinal: \\boxed{01100001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n hxunpggh bsdoj obvj rjb\n### Reasoning:\n<|cot_start|>Cipher text: hxunpggh bsdoj obvj rjb\nTry each candidate Wonderland word against each ciphertext word:\n cipher='hxunpggh' candidate='alice' length-match=False\n cipher='hxunpggh' candidate='rabbit' length-match=False\n cipher='hxunpggh' candidate='hatter' length-match=False\n cipher='hxunpggh' candidate='cheshire' length-match=True\n cipher='hxunpggh' candidate='queen' length-match=False\n cipher='hxunpggh' candidate='tea' length-match=False\n cipher='hxunpggh' candidate='cake' length-match=False\n cipher='hxunpggh' candidate='garden' length-match=False\n cipher='hxunpggh' candidate='mushroom' length-match=True <- assign\n cipher='hxunpggh' candidate='card' length-match=False\n cipher='hxunpggh' candidate='card' length-match=False\n cipher='hxunpggh' candidate='wonderland' length-match=False\n cipher='hxunpggh' candidate='white' length-match=False\n cipher='hxunpggh' candidate='down' length-match=False\n cipher='hxunpggh' candidate='smile' length-match=False\n cipher='hxunpggh' candidate='smiled' length-match=False\n cipher='hxunpggh' candidate='looking' length-match=False\n cipher='hxunpggh' candidate='glass' length-match=False\n cipher='hxunpggh' candidate='march' length-match=False\n cipher='hxunpggh' candidate='hare' length-match=False\n cipher='hxunpggh' candidate='dormouse' length-match=True\n cipher='bsdoj' candidate='alice' length-match=True <- assign\n cipher='bsdoj' candidate='rabbit' length-match=False\n cipher='bsdoj' candidate='hatter' length-match=False\n cipher='bsdoj' candidate='cheshire' length-match=False\n cipher='bsdoj' candidate='queen' length-match=True\n cipher='bsdoj' candidate='tea' length-match=False\n cipher='bsdoj' candidate='cake' length-match=False\n cipher='bsdoj' candidate='garden' length-match=False\n cipher='bsdoj' candidate='mushroom' length-match=False\n cipher='bsdoj' candidate='card' length-match=False\n cipher='bsdoj' candidate='card' length-match=False\n cipher='bsdoj' candidate='wonderland' length-match=False\n cipher='bsdoj' candidate='white' length-match=True\n cipher='bsdoj' candidate='down' length-match=False\n cipher='bsdoj' candidate='smile' length-match=True\n cipher='bsdoj' candidate='smiled' length-match=False\n cipher='bsdoj' candidate='looking' length-match=False\n cipher='bsdoj' candidate='glass' length-match=True\n cipher='bsdoj' candidate='march' length-match=True\n cipher='bsdoj' candidate='hare' length-match=False\n cipher='bsdoj' candidate='dormouse' length-match=False\n cipher='obvj' candidate='alice' length-match=False\n cipher='obvj' candidate='rabbit' length-match=False\n cipher='obvj' candidate='hatter' length-match=False\n cipher='obvj' candidate='cheshire' length-match=False\n cipher='obvj' candidate='queen' length-match=False\n cipher='obvj' candidate='tea' length-match=False\n cipher='obvj' candidate='cake' length-match=True <- assign\n cipher='obvj' candidate='garden' length-match=False\n cipher='obvj' candidate='mushroom' length-match=False\n cipher='obvj' candidate='card' length-match=True\n cipher='obvj' candidate='card' length-match=True\n cipher='obvj' candidate='wonderland' length-match=False\n cipher='obvj' candidate='white' length-match=False\n cipher='obvj' candidate='down' length-match=True\n cipher='obvj' candidate='smile' length-match=False\n cipher='obvj' candidate='smiled' length-match=False\n cipher='obvj' candidate='looking' length-match=False\n cipher='obvj' candidate='glass' length-match=False\n cipher='obvj' candidate='march' length-match=False\n cipher='obvj' candidate='hare' length-match=True\n cipher='obvj' candidate='dormouse' length-match=False\n cipher='rjb' candidate='alice' length-match=False\n cipher='rjb' candidate='rabbit' length-match=False\n cipher='rjb' candidate='hatter' length-match=False\n cipher='rjb' candidate='cheshire' length-match=False\n cipher='rjb' candidate='queen' length-match=False\n cipher='rjb' candidate='tea' length-match=True <- assign\n cipher='rjb' candidate='cake' length-match=False\n cipher='rjb' candidate='garden' length-match=False\n cipher='rjb' candidate='mushroom' length-match=False\n cipher='rjb' candidate='card' length-match=False\n cipher='rjb' candidate='card' length-match=False\n cipher='rjb' candidate='wonderland' length-match=False\n cipher='rjb' candidate='white' length-match=False\n cipher='rjb' candidate='down' length-match=False\n cipher='rjb' candidate='smile' length-match=False\n cipher='rjb' candidate='smiled' length-match=False\n cipher='rjb' candidate='looking' length-match=False\n cipher='rjb' candidate='glass' length-match=False\n cipher='rjb' candidate='march' length-match=False\n cipher='rjb' candidate='hare' length-match=False\n cipher='rjb' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n mushroom alice cake tea\nFinal: \\boxed{mushroom alice cake tea}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01110000 -> 00100101\n 00110001 -> 01100100\n 01010100 -> 00000001\nApply to: 11101000\n### Reasoning:\n<|cot_start|>Given examples:\n 01110000 -> 00100101\n 00110001 -> 01100100\n 01010100 -> 00000001\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,0,0\n bit 1: 1,0,1 -> 0,1,0\n bit 2: 1,1,0 -> 1,1,0\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 0,0,1 -> 1,1,0\n bit 6: 0,0,0 -> 0,0,0\n bit 7: 0,1,0 -> 1,0,1\nDeduce rule: xor 0x55.\nApply to 11101000:\n result = 10111101\nFinal: \\boxed{10111101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 99,44 -> 9944\n 53,90 -> 5390\n 32,92 -> 3292\nApply to: 61,43\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 99,44: '+' gives 143; target=9944 no\n 99,44: '-' gives 55; target=9944 no\n 99,44: '*' gives 4356; target=9944 no\n 99,44: 'concat' gives 9944; target=9944 MATCH\n 99,44: 'rev_concat' gives 4499; target=9944 no\n 99,44: 'max*min+sum' gives 4499; target=9944 no\n 99,44: 'digitsum2' gives 676; target=9944 no\n 53,90: '+' gives 143; target=5390 no\n 53,90: '-' gives 37; target=5390 no\n 53,90: '*' gives 4770; target=5390 no\n 53,90: 'concat' gives 5390; target=5390 MATCH\n 53,90: 'rev_concat' gives 9053; target=5390 no\n 53,90: 'max*min+sum' gives 4913; target=5390 no\n 53,90: 'digitsum2' gives 289; target=5390 no\n 32,92: '+' gives 124; target=3292 no\n 32,92: '-' gives 60; target=3292 no\n 32,92: '*' gives 2944; target=3292 no\n 32,92: 'concat' gives 3292; target=3292 MATCH\n 32,92: 'rev_concat' gives 9232; target=3292 no\n 32,92: 'max*min+sum' gives 3068; target=3292 no\n 32,92: 'digitsum2' gives 256; target=3292 no\nThe only operator consistent with all examples is 'concat'.\nApply to (61, 43):\n result = 6143\nFinal: \\boxed{6143}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 8 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 8 days = 8 * 24 hours.\nCompute step by step:\n 8 * 10^0 * 24 = 192\n running total = 192\nFinal: \\boxed{192}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00000010 -> 01010111\n 00110110 -> 01100011\n 10101000 -> 11111101\nApply to: 01101010\n### Reasoning:\n<|cot_start|>Given examples:\n 00000010 -> 01010111\n 00110110 -> 01100011\n 10101000 -> 11111101\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 0,0,1\n bit 1: 0,0,0 -> 1,1,1\n bit 2: 0,1,1 -> 0,1,1\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 0,0,1 -> 0,0,1\n bit 5: 0,1,0 -> 1,0,1\n bit 6: 1,1,0 -> 1,1,0\n bit 7: 0,0,0 -> 1,1,1\nDeduce rule: xor 0x55.\nApply to 01101010:\n result = 00111111\nFinal: \\boxed{00111111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 94,23 -> 9423\n 43,65 -> 4365\n 92,22 -> 9222\nApply to: 14,22\n### Reasoning:\n<|cot_start|>Examples:\n 94,23 -> 9423\n 43,65 -> 4365\n 92,22 -> 9222\nCheck both candidate forms:\n concat(94,23)=9423 rev_concat(94,23)=2394 target=9423 concat\n concat(43,65)=4365 rev_concat(43,65)=6543 target=4365 concat\n concat(92,22)=9222 rev_concat(92,22)=2292 target=9222 concat\nConclude operator: concat.\nApply to (14, 22): answer = 1422\nFinal: \\boxed{1422}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 89,90 -> 676\n 30,28 -> 169\n 81,82 -> 361\nApply to: 53,97\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 89,90: '+' gives 179; target=676 no\n 89,90: '-' gives 1; target=676 no\n 89,90: '*' gives 8010; target=676 no\n 89,90: 'concat' gives 8990; target=676 no\n 89,90: 'rev_concat' gives 9089; target=676 no\n 89,90: 'max*min+sum' gives 8189; target=676 no\n 89,90: 'digitsum2' gives 676; target=676 MATCH\n 30,28: '+' gives 58; target=169 no\n 30,28: '-' gives 2; target=169 no\n 30,28: '*' gives 840; target=169 no\n 30,28: 'concat' gives 3028; target=169 no\n 30,28: 'rev_concat' gives 2830; target=169 no\n 30,28: 'max*min+sum' gives 898; target=169 no\n 30,28: 'digitsum2' gives 169; target=169 MATCH\n 81,82: '+' gives 163; target=361 no\n 81,82: '-' gives 1; target=361 no\n 81,82: '*' gives 6642; target=361 no\n 81,82: 'concat' gives 8182; target=361 no\n 81,82: 'rev_concat' gives 8281; target=361 no\n 81,82: 'max*min+sum' gives 6805; target=361 no\n 81,82: 'digitsum2' gives 361; target=361 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (53, 97):\n result = 576\nFinal: \\boxed{576}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n V = 5 -> 70 + 5 = 75\nFinal: \\boxed{75}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n V = 5 -> 10 + 5 = 15\n I = 1 -> 15 + 1 = 16\n I = 1 -> 16 + 1 = 17\n I = 1 -> 17 + 1 = 18\nFinal: \\boxed{18}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 94,31 -> 3194\n 37,59 -> 5937\n 65,35 -> 3565\nApply to: 36,11\n### Reasoning:\n<|cot_start|>Examples:\n 94,31 -> 3194\n 37,59 -> 5937\n 65,35 -> 3565\nCheck both candidate forms:\n concat(94,31)=9431 rev_concat(94,31)=3194 target=3194 rev_concat\n concat(37,59)=3759 rev_concat(37,59)=5937 target=5937 rev_concat\n concat(65,35)=6535 rev_concat(65,35)=3565 target=3565 rev_concat\nConclude operator: rev_concat.\nApply to (36, 11): answer = 1136\nFinal: \\boxed{1136}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n IX = 9 -> 30 + 9 = 39\nFinal: \\boxed{39}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n geezmhi luj dxmlu cjtp\n### Reasoning:\n<|cot_start|>Cipher text: geezmhi luj dxmlu cjtp\nTry each candidate Wonderland word against each ciphertext word:\n cipher='geezmhi' candidate='alice' length-match=False\n cipher='geezmhi' candidate='rabbit' length-match=False\n cipher='geezmhi' candidate='hatter' length-match=False\n cipher='geezmhi' candidate='cheshire' length-match=False\n cipher='geezmhi' candidate='queen' length-match=False\n cipher='geezmhi' candidate='tea' length-match=False\n cipher='geezmhi' candidate='cake' length-match=False\n cipher='geezmhi' candidate='garden' length-match=False\n cipher='geezmhi' candidate='mushroom' length-match=False\n cipher='geezmhi' candidate='card' length-match=False\n cipher='geezmhi' candidate='card' length-match=False\n cipher='geezmhi' candidate='wonderland' length-match=False\n cipher='geezmhi' candidate='white' length-match=False\n cipher='geezmhi' candidate='down' length-match=False\n cipher='geezmhi' candidate='smile' length-match=False\n cipher='geezmhi' candidate='smiled' length-match=False\n cipher='geezmhi' candidate='looking' length-match=True <- assign\n cipher='geezmhi' candidate='glass' length-match=False\n cipher='geezmhi' candidate='march' length-match=False\n cipher='geezmhi' candidate='hare' length-match=False\n cipher='geezmhi' candidate='dormouse' length-match=False\n cipher='luj' candidate='alice' length-match=False\n cipher='luj' candidate='rabbit' length-match=False\n cipher='luj' candidate='hatter' length-match=False\n cipher='luj' candidate='cheshire' length-match=False\n cipher='luj' candidate='queen' length-match=False\n cipher='luj' candidate='tea' length-match=True <- assign\n cipher='luj' candidate='cake' length-match=False\n cipher='luj' candidate='garden' length-match=False\n cipher='luj' candidate='mushroom' length-match=False\n cipher='luj' candidate='card' length-match=False\n cipher='luj' candidate='card' length-match=False\n cipher='luj' candidate='wonderland' length-match=False\n cipher='luj' candidate='white' length-match=False\n cipher='luj' candidate='down' length-match=False\n cipher='luj' candidate='smile' length-match=False\n cipher='luj' candidate='smiled' length-match=False\n cipher='luj' candidate='looking' length-match=False\n cipher='luj' candidate='glass' length-match=False\n cipher='luj' candidate='march' length-match=False\n cipher='luj' candidate='hare' length-match=False\n cipher='luj' candidate='dormouse' length-match=False\n cipher='dxmlu' candidate='alice' length-match=True\n cipher='dxmlu' candidate='rabbit' length-match=False\n cipher='dxmlu' candidate='hatter' length-match=False\n cipher='dxmlu' candidate='cheshire' length-match=False\n cipher='dxmlu' candidate='queen' length-match=True\n cipher='dxmlu' candidate='tea' length-match=False\n cipher='dxmlu' candidate='cake' length-match=False\n cipher='dxmlu' candidate='garden' length-match=False\n cipher='dxmlu' candidate='mushroom' length-match=False\n cipher='dxmlu' candidate='card' length-match=False\n cipher='dxmlu' candidate='card' length-match=False\n cipher='dxmlu' candidate='wonderland' length-match=False\n cipher='dxmlu' candidate='white' length-match=True <- assign\n cipher='dxmlu' candidate='down' length-match=False\n cipher='dxmlu' candidate='smile' length-match=True\n cipher='dxmlu' candidate='smiled' length-match=False\n cipher='dxmlu' candidate='looking' length-match=False\n cipher='dxmlu' candidate='glass' length-match=True\n cipher='dxmlu' candidate='march' length-match=True\n cipher='dxmlu' candidate='hare' length-match=False\n cipher='dxmlu' candidate='dormouse' length-match=False\n cipher='cjtp' candidate='alice' length-match=False\n cipher='cjtp' candidate='rabbit' length-match=False\n cipher='cjtp' candidate='hatter' length-match=False\n cipher='cjtp' candidate='cheshire' length-match=False\n cipher='cjtp' candidate='queen' length-match=False\n cipher='cjtp' candidate='tea' length-match=False\n cipher='cjtp' candidate='cake' length-match=True\n cipher='cjtp' candidate='garden' length-match=False\n cipher='cjtp' candidate='mushroom' length-match=False\n cipher='cjtp' candidate='card' length-match=True <- assign\n cipher='cjtp' candidate='card' length-match=True <- assign\n cipher='cjtp' candidate='wonderland' length-match=False\n cipher='cjtp' candidate='white' length-match=False\n cipher='cjtp' candidate='down' length-match=True\n cipher='cjtp' candidate='smile' length-match=False\n cipher='cjtp' candidate='smiled' length-match=False\n cipher='cjtp' candidate='looking' length-match=False\n cipher='cjtp' candidate='glass' length-match=False\n cipher='cjtp' candidate='march' length-match=False\n cipher='cjtp' candidate='hare' length-match=True\n cipher='cjtp' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking tea white card\nFinal: \\boxed{looking tea white card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 15 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 15 minutes = 15 * 60 seconds.\nCompute step by step:\n 1 * 10^1 * 60 = 600\n running total = 600\n 5 * 10^0 * 60 = 300\n running total = 900\nFinal: \\boxed{900}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 88,65 -> 729\n 68,93 -> 676\n 67,60 -> 361\nApply to: 11,88\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 88,65: '+' gives 153; target=729 no\n 88,65: '-' gives 23; target=729 no\n 88,65: '*' gives 5720; target=729 no\n 88,65: 'concat' gives 8865; target=729 no\n 88,65: 'rev_concat' gives 6588; target=729 no\n 88,65: 'max*min+sum' gives 5873; target=729 no\n 88,65: 'digitsum2' gives 729; target=729 MATCH\n 68,93: '+' gives 161; target=676 no\n 68,93: '-' gives 25; target=676 no\n 68,93: '*' gives 6324; target=676 no\n 68,93: 'concat' gives 6893; target=676 no\n 68,93: 'rev_concat' gives 9368; target=676 no\n 68,93: 'max*min+sum' gives 6485; target=676 no\n 68,93: 'digitsum2' gives 676; target=676 MATCH\n 67,60: '+' gives 127; target=361 no\n 67,60: '-' gives 7; target=361 no\n 67,60: '*' gives 4020; target=361 no\n 67,60: 'concat' gives 6760; target=361 no\n 67,60: 'rev_concat' gives 6067; target=361 no\n 67,60: 'max*min+sum' gives 4147; target=361 no\n 67,60: 'digitsum2' gives 361; target=361 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (11, 88):\n result = 324\nFinal: \\boxed{324}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 16,76 -> 7616\n 77,72 -> 7277\n 19,39 -> 3919\nApply to: 26,60\n### Reasoning:\n<|cot_start|>Examples:\n 16,76 -> 7616\n 77,72 -> 7277\n 19,39 -> 3919\nCheck both candidate forms:\n concat(16,76)=1676 rev_concat(16,76)=7616 target=7616 rev_concat\n concat(77,72)=7772 rev_concat(77,72)=7277 target=7277 rev_concat\n concat(19,39)=1939 rev_concat(19,39)=3919 target=3919 rev_concat\nConclude operator: rev_concat.\nApply to (26, 60): answer = 6026\nFinal: \\boxed{6026}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 17 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 17 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 7 * 10^0 * 981 = 6867\n running total = 16677\nSo F = 16677 centiNewtons = 166.77 N.\nFinal: \\boxed{166.77}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n stvvgk ltki dfmxg esmvg\n### Reasoning:\n<|cot_start|>Cipher text: stvvgk ltki dfmxg esmvg\nTry each candidate Wonderland word against each ciphertext word:\n cipher='stvvgk' candidate='alice' length-match=False\n cipher='stvvgk' candidate='rabbit' length-match=True\n cipher='stvvgk' candidate='hatter' length-match=True <- assign\n cipher='stvvgk' candidate='cheshire' length-match=False\n cipher='stvvgk' candidate='queen' length-match=False\n cipher='stvvgk' candidate='tea' length-match=False\n cipher='stvvgk' candidate='cake' length-match=False\n cipher='stvvgk' candidate='garden' length-match=True\n cipher='stvvgk' candidate='mushroom' length-match=False\n cipher='stvvgk' candidate='card' length-match=False\n cipher='stvvgk' candidate='card' length-match=False\n cipher='stvvgk' candidate='wonderland' length-match=False\n cipher='stvvgk' candidate='white' length-match=False\n cipher='stvvgk' candidate='down' length-match=False\n cipher='stvvgk' candidate='smile' length-match=False\n cipher='stvvgk' candidate='smiled' length-match=True\n cipher='stvvgk' candidate='looking' length-match=False\n cipher='stvvgk' candidate='glass' length-match=False\n cipher='stvvgk' candidate='march' length-match=False\n cipher='stvvgk' candidate='hare' length-match=False\n cipher='stvvgk' candidate='dormouse' length-match=False\n cipher='ltki' candidate='alice' length-match=False\n cipher='ltki' candidate='rabbit' length-match=False\n cipher='ltki' candidate='hatter' length-match=False\n cipher='ltki' candidate='cheshire' length-match=False\n cipher='ltki' candidate='queen' length-match=False\n cipher='ltki' candidate='tea' length-match=False\n cipher='ltki' candidate='cake' length-match=True\n cipher='ltki' candidate='garden' length-match=False\n cipher='ltki' candidate='mushroom' length-match=False\n cipher='ltki' candidate='card' length-match=True <- assign\n cipher='ltki' candidate='card' length-match=True <- assign\n cipher='ltki' candidate='wonderland' length-match=False\n cipher='ltki' candidate='white' length-match=False\n cipher='ltki' candidate='down' length-match=True\n cipher='ltki' candidate='smile' length-match=False\n cipher='ltki' candidate='smiled' length-match=False\n cipher='ltki' candidate='looking' length-match=False\n cipher='ltki' candidate='glass' length-match=False\n cipher='ltki' candidate='march' length-match=False\n cipher='ltki' candidate='hare' length-match=True\n cipher='ltki' candidate='dormouse' length-match=False\n cipher='dfmxg' candidate='alice' length-match=True\n cipher='dfmxg' candidate='rabbit' length-match=False\n cipher='dfmxg' candidate='hatter' length-match=False\n cipher='dfmxg' candidate='cheshire' length-match=False\n cipher='dfmxg' candidate='queen' length-match=True\n cipher='dfmxg' candidate='tea' length-match=False\n cipher='dfmxg' candidate='cake' length-match=False\n cipher='dfmxg' candidate='garden' length-match=False\n cipher='dfmxg' candidate='mushroom' length-match=False\n cipher='dfmxg' candidate='card' length-match=False\n cipher='dfmxg' candidate='card' length-match=False\n cipher='dfmxg' candidate='wonderland' length-match=False\n cipher='dfmxg' candidate='white' length-match=True\n cipher='dfmxg' candidate='down' length-match=False\n cipher='dfmxg' candidate='smile' length-match=True <- assign\n cipher='dfmxg' candidate='smiled' length-match=False\n cipher='dfmxg' candidate='looking' length-match=False\n cipher='dfmxg' candidate='glass' length-match=True\n cipher='dfmxg' candidate='march' length-match=True\n cipher='dfmxg' candidate='hare' length-match=False\n cipher='dfmxg' candidate='dormouse' length-match=False\n cipher='esmvg' candidate='alice' length-match=True\n cipher='esmvg' candidate='rabbit' length-match=False\n cipher='esmvg' candidate='hatter' length-match=False\n cipher='esmvg' candidate='cheshire' length-match=False\n cipher='esmvg' candidate='queen' length-match=True\n cipher='esmvg' candidate='tea' length-match=False\n cipher='esmvg' candidate='cake' length-match=False\n cipher='esmvg' candidate='garden' length-match=False\n cipher='esmvg' candidate='mushroom' length-match=False\n cipher='esmvg' candidate='card' length-match=False\n cipher='esmvg' candidate='card' length-match=False\n cipher='esmvg' candidate='wonderland' length-match=False\n cipher='esmvg' candidate='white' length-match=True <- assign\n cipher='esmvg' candidate='down' length-match=False\n cipher='esmvg' candidate='smile' length-match=True\n cipher='esmvg' candidate='smiled' length-match=False\n cipher='esmvg' candidate='looking' length-match=False\n cipher='esmvg' candidate='glass' length-match=True\n cipher='esmvg' candidate='march' length-match=True\n cipher='esmvg' candidate='hare' length-match=False\n cipher='esmvg' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n hatter card smile white\nFinal: \\boxed{hatter card smile white}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 78,39 -> 7839\n 18,48 -> 1848\n 78,74 -> 7874\nApply to: 40,53\n### Reasoning:\n<|cot_start|>Examples:\n 78,39 -> 7839\n 18,48 -> 1848\n 78,74 -> 7874\nCheck both candidate forms:\n concat(78,39)=7839 rev_concat(78,39)=3978 target=7839 concat\n concat(18,48)=1848 rev_concat(18,48)=4818 target=1848 concat\n concat(78,74)=7874 rev_concat(78,74)=7478 target=7874 concat\nConclude operator: concat.\nApply to (40, 53): answer = 4053\nFinal: \\boxed{4053}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 78 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 78 metres = 78 * 100 centimetres.\nCompute step by step:\n 7 * 10^1 * 100 = 7000\n running total = 7000\n 8 * 10^0 * 100 = 800\n running total = 7800\nFinal: \\boxed{7800}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 3 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 3 * 981.\nStep-by-step multiplication:\n 3 * 10^0 * 981 = 2943\n running total = 2943\nSo F = 2943 centiNewtons = 29.43 N.\nFinal: \\boxed{29.43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n V = 5 -> 30 + 5 = 35\n I = 1 -> 35 + 1 = 36\n I = 1 -> 36 + 1 = 37\nFinal: \\boxed{37}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 10 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 10 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 0 * 10^0 * 981 = 0\n running total = 9810\nSo F = 9810 centiNewtons = 98.10 N.\nFinal: \\boxed{98.10}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 53,90 -> 5390\n 45,39 -> 4539\n 60,10 -> 6010\nApply to: 17,97\n### Reasoning:\n<|cot_start|>Examples:\n 53,90 -> 5390\n 45,39 -> 4539\n 60,10 -> 6010\nCheck both candidate forms:\n concat(53,90)=5390 rev_concat(53,90)=9053 target=5390 concat\n concat(45,39)=4539 rev_concat(45,39)=3945 target=4539 concat\n concat(60,10)=6010 rev_concat(60,10)=1060 target=6010 concat\nConclude operator: concat.\nApply to (17, 97): answer = 1797\nFinal: \\boxed{1797}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XL to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\nFinal: \\boxed{40}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11000101 -> 11110101\n 11110101 -> 11110101\n 01111001 -> 11111001\nApply to: 11001001\n### Reasoning:\n<|cot_start|>Given examples:\n 11000101 -> 11110101\n 11110101 -> 11110101\n 01111001 -> 11111001\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 1,1,1\n bit 1: 1,1,1 -> 1,1,1\n bit 2: 0,1,1 -> 1,1,1\n bit 3: 0,1,1 -> 1,1,1\n bit 4: 0,0,1 -> 0,0,1\n bit 5: 1,1,0 -> 1,1,0\n bit 6: 0,0,0 -> 0,0,0\n bit 7: 1,1,1 -> 1,1,1\nDeduce rule: or 0xF0.\nApply to 11001001:\n result = 11111001\nFinal: \\boxed{11111001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n I = 1 -> 30 + 1 = 31\nFinal: \\boxed{31}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10001110 -> 01000111\n 00111111 -> 10011111\n 10101100 -> 01010110\nApply to: 00000000\n### Reasoning:\n<|cot_start|>Given examples:\n 10001110 -> 01000111\n 00111111 -> 10011111\n 10101100 -> 01010110\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,1,0\n bit 1: 0,0,0 -> 1,0,1\n bit 2: 0,1,1 -> 0,0,0\n bit 3: 0,1,0 -> 0,1,1\n bit 4: 1,1,1 -> 0,1,0\n bit 5: 1,1,1 -> 1,1,1\n bit 6: 1,1,0 -> 1,1,1\n bit 7: 0,1,0 -> 1,1,0\nDeduce rule: rotate right 1.\nApply to 00000000:\n result = 00000000\nFinal: \\boxed{00000000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n I = 1 -> 90 + 1 = 91\nFinal: \\boxed{91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 41 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 41 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 1 * 10^0 * 981 = 981\n running total = 40221\nSo F = 40221 centiNewtons = 402.21 N.\nFinal: \\boxed{402.21}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 46 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 46 litres = 46 * 1000 millilitres.\nCompute step by step:\n 4 * 10^1 * 1000 = 40000\n running total = 40000\n 6 * 10^0 * 1000 = 6000\n running total = 46000\nFinal: \\boxed{46000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n IV = 4 -> 60 + 4 = 64\nFinal: \\boxed{64}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n V = 5 -> 30 + 5 = 35\n I = 1 -> 35 + 1 = 36\n I = 1 -> 36 + 1 = 37\n I = 1 -> 37 + 1 = 38\nFinal: \\boxed{38}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 26 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 26 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 6 * 10^0 * 981 = 5886\n running total = 25506\nSo F = 25506 centiNewtons = 255.06 N.\nFinal: \\boxed{255.06}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 8 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 8 days = 8 * 24 hours.\nCompute step by step:\n 8 * 10^0 * 24 = 192\n running total = 192\nFinal: \\boxed{192}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 13 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 13 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 3 * 10^0 * 981 = 2943\n running total = 12753\nSo F = 12753 centiNewtons = 127.53 N.\nFinal: \\boxed{127.53}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 43 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 43 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 3 * 10^0 * 981 = 2943\n running total = 42183\nSo F = 42183 centiNewtons = 421.83 N.\nFinal: \\boxed{421.83}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 45,99 -> 4599\n 11,37 -> 1137\n 69,48 -> 6948\nApply to: 61,64\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 45,99: '+' gives 144; target=4599 no\n 45,99: '-' gives 54; target=4599 no\n 45,99: '*' gives 4455; target=4599 no\n 45,99: 'concat' gives 4599; target=4599 MATCH\n 45,99: 'rev_concat' gives 9945; target=4599 no\n 45,99: 'max*min+sum' gives 4599; target=4599 MATCH\n 45,99: 'digitsum2' gives 729; target=4599 no\n 11,37: '+' gives 48; target=1137 no\n 11,37: '-' gives 26; target=1137 no\n 11,37: '*' gives 407; target=1137 no\n 11,37: 'concat' gives 1137; target=1137 MATCH\n 11,37: 'rev_concat' gives 3711; target=1137 no\n 11,37: 'max*min+sum' gives 455; target=1137 no\n 11,37: 'digitsum2' gives 144; target=1137 no\n 69,48: '+' gives 117; target=6948 no\n 69,48: '-' gives 21; target=6948 no\n 69,48: '*' gives 3312; target=6948 no\n 69,48: 'concat' gives 6948; target=6948 MATCH\n 69,48: 'rev_concat' gives 4869; target=6948 no\n 69,48: 'max*min+sum' gives 3429; target=6948 no\n 69,48: 'digitsum2' gives 729; target=6948 no\nThe only operator consistent with all examples is 'concat'.\nApply to (61, 64):\n result = 6164\nFinal: \\boxed{6164}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 45 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 45 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 5 * 10^0 * 981 = 4905\n running total = 44145\nSo F = 44145 centiNewtons = 441.45 N.\nFinal: \\boxed{441.45}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 92 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 92 metres = 92 * 100 centimetres.\nCompute step by step:\n 9 * 10^1 * 100 = 9000\n running total = 9000\n 2 * 10^0 * 100 = 200\n running total = 9200\nFinal: \\boxed{9200}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 61,91 -> 6191\n 37,21 -> 3721\n 63,44 -> 6344\nApply to: 72,65\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 61,91: '+' gives 152; target=6191 no\n 61,91: '-' gives 30; target=6191 no\n 61,91: '*' gives 5551; target=6191 no\n 61,91: 'concat' gives 6191; target=6191 MATCH\n 61,91: 'rev_concat' gives 9161; target=6191 no\n 61,91: 'max*min+sum' gives 5703; target=6191 no\n 61,91: 'digitsum2' gives 289; target=6191 no\n 37,21: '+' gives 58; target=3721 no\n 37,21: '-' gives 16; target=3721 no\n 37,21: '*' gives 777; target=3721 no\n 37,21: 'concat' gives 3721; target=3721 MATCH\n 37,21: 'rev_concat' gives 2137; target=3721 no\n 37,21: 'max*min+sum' gives 835; target=3721 no\n 37,21: 'digitsum2' gives 169; target=3721 no\n 63,44: '+' gives 107; target=6344 no\n 63,44: '-' gives 19; target=6344 no\n 63,44: '*' gives 2772; target=6344 no\n 63,44: 'concat' gives 6344; target=6344 MATCH\n 63,44: 'rev_concat' gives 4463; target=6344 no\n 63,44: 'max*min+sum' gives 2879; target=6344 no\n 63,44: 'digitsum2' gives 289; target=6344 no\nThe only operator consistent with all examples is 'concat'.\nApply to (72, 65):\n result = 7265\nFinal: \\boxed{7265}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n V = 5 -> 40 + 5 = 45\n I = 1 -> 45 + 1 = 46\nFinal: \\boxed{46}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 35,25 -> 60\n 47,51 -> 98\n 52,49 -> 101\nApply to: 28,33\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 35,25: '+' gives 60; target=60 MATCH\n 35,25: '-' gives 10; target=60 no\n 35,25: '*' gives 875; target=60 no\n 35,25: 'concat' gives 3525; target=60 no\n 35,25: 'rev_concat' gives 2535; target=60 no\n 35,25: 'max*min+sum' gives 935; target=60 no\n 35,25: 'digitsum2' gives 225; target=60 no\n 47,51: '+' gives 98; target=98 MATCH\n 47,51: '-' gives 4; target=98 no\n 47,51: '*' gives 2397; target=98 no\n 47,51: 'concat' gives 4751; target=98 no\n 47,51: 'rev_concat' gives 5147; target=98 no\n 47,51: 'max*min+sum' gives 2495; target=98 no\n 47,51: 'digitsum2' gives 289; target=98 no\n 52,49: '+' gives 101; target=101 MATCH\n 52,49: '-' gives 3; target=101 no\n 52,49: '*' gives 2548; target=101 no\n 52,49: 'concat' gives 5249; target=101 no\n 52,49: 'rev_concat' gives 4952; target=101 no\n 52,49: 'max*min+sum' gives 2649; target=101 no\n 52,49: 'digitsum2' gives 400; target=101 no\nThe only operator consistent with all examples is '+'.\nApply to (28, 33):\n result = 61\nFinal: \\boxed{61}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n IV = 4 -> 70 + 4 = 74\nFinal: \\boxed{74}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 16,69 -> 1669\n 71,80 -> 7180\n 80,40 -> 8040\nApply to: 64,41\n### Reasoning:\n<|cot_start|>Examples:\n 16,69 -> 1669\n 71,80 -> 7180\n 80,40 -> 8040\nCheck both candidate forms:\n concat(16,69)=1669 rev_concat(16,69)=6916 target=1669 concat\n concat(71,80)=7180 rev_concat(71,80)=8071 target=7180 concat\n concat(80,40)=8040 rev_concat(80,40)=4080 target=8040 concat\nConclude operator: concat.\nApply to (64, 41): answer = 6441\nFinal: \\boxed{6441}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 91 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 91 kilometres = 91 * 1000 metres.\nCompute step by step:\n 9 * 10^1 * 1000 = 90000\n running total = 90000\n 1 * 10^0 * 1000 = 1000\n running total = 91000\nFinal: \\boxed{91000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 12 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 12 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 2 * 10^0 * 981 = 1962\n running total = 11772\nSo F = 11772 centiNewtons = 117.72 N.\nFinal: \\boxed{117.72}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 34 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 34 days = 34 * 24 hours.\nCompute step by step:\n 3 * 10^1 * 24 = 720\n running total = 720\n 4 * 10^0 * 24 = 96\n running total = 816\nFinal: \\boxed{816}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 25,29 -> 2925\n 80,40 -> 4080\n 39,71 -> 7139\nApply to: 87,43\n### Reasoning:\n<|cot_start|>Examples:\n 25,29 -> 2925\n 80,40 -> 4080\n 39,71 -> 7139\nCheck both candidate forms:\n concat(25,29)=2529 rev_concat(25,29)=2925 target=2925 rev_concat\n concat(80,40)=8040 rev_concat(80,40)=4080 target=4080 rev_concat\n concat(39,71)=3971 rev_concat(39,71)=7139 target=7139 rev_concat\nConclude operator: rev_concat.\nApply to (87, 43): answer = 4387\nFinal: \\boxed{4387}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 14,64 -> 6414\n 13,83 -> 8313\n 90,80 -> 8090\nApply to: 12,16\n### Reasoning:\n<|cot_start|>Examples:\n 14,64 -> 6414\n 13,83 -> 8313\n 90,80 -> 8090\nCheck both candidate forms:\n concat(14,64)=1464 rev_concat(14,64)=6414 target=6414 rev_concat\n concat(13,83)=1383 rev_concat(13,83)=8313 target=8313 rev_concat\n concat(90,80)=9080 rev_concat(90,80)=8090 target=8090 rev_concat\nConclude operator: rev_concat.\nApply to (12, 16): answer = 1612\nFinal: \\boxed{1612}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 51 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 51 litres = 51 * 1000 millilitres.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 1 * 10^0 * 1000 = 1000\n running total = 51000\nFinal: \\boxed{51000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00101101 -> 01011010\n 01001001 -> 10010010\n 01111110 -> 11111100\nApply to: 01101101\n### Reasoning:\n<|cot_start|>Given examples:\n 00101101 -> 01011010\n 01001001 -> 10010010\n 01111110 -> 11111100\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,1,1\n bit 1: 0,1,1 -> 1,0,1\n bit 2: 1,0,1 -> 0,0,1\n bit 3: 0,0,1 -> 1,1,1\n bit 4: 1,1,1 -> 1,0,1\n bit 5: 1,0,1 -> 0,0,1\n bit 6: 0,0,1 -> 1,1,0\n bit 7: 1,1,0 -> 0,0,0\nDeduce rule: rotate left 1.\nApply to 01101101:\n result = 11011010\nFinal: \\boxed{11011010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 57,44 -> 4457\n 94,55 -> 5594\n 29,62 -> 6229\nApply to: 36,35\n### Reasoning:\n<|cot_start|>Examples:\n 57,44 -> 4457\n 94,55 -> 5594\n 29,62 -> 6229\nCheck both candidate forms:\n concat(57,44)=5744 rev_concat(57,44)=4457 target=4457 rev_concat\n concat(94,55)=9455 rev_concat(94,55)=5594 target=5594 rev_concat\n concat(29,62)=2962 rev_concat(29,62)=6229 target=6229 rev_concat\nConclude operator: rev_concat.\nApply to (36, 35): answer = 3536\nFinal: \\boxed{3536}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11111110 -> 01010100\n 10001001 -> 00100011\n 01011000 -> 11110010\nApply to: 00000111\n### Reasoning:\n<|cot_start|>Given examples:\n 11111110 -> 01010100\n 10001001 -> 00100011\n 01011000 -> 11110010\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 0,0,1\n bit 1: 1,0,1 -> 1,0,1\n bit 2: 1,0,0 -> 0,1,1\n bit 3: 1,0,1 -> 1,0,1\n bit 4: 1,1,1 -> 0,0,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 1,0,0 -> 0,1,1\n bit 7: 0,1,0 -> 0,1,0\nDeduce rule: xor 0xAA.\nApply to 00000111:\n result = 10101101\nFinal: \\boxed{10101101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00001100 -> 00110000\n 10101101 -> 10110101\n 01001111 -> 11110010\nApply to: 01011101\n### Reasoning:\n<|cot_start|>Given examples:\n 00001100 -> 00110000\n 10101101 -> 10110101\n 01001111 -> 11110010\nCompare each bit position across the three examples:\n bit 0: 0,1,0 -> 0,1,1\n bit 1: 0,0,1 -> 0,0,1\n bit 2: 0,1,0 -> 1,1,1\n bit 3: 0,0,0 -> 1,1,1\n bit 4: 1,1,1 -> 0,0,0\n bit 5: 1,1,1 -> 0,1,0\n bit 6: 0,0,1 -> 0,0,1\n bit 7: 0,1,1 -> 0,1,0\nDeduce rule: reverse bits.\nApply to 01011101:\n result = 10111010\nFinal: \\boxed{10111010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n ovlm yfgtqm xvwwql wqv\n### Reasoning:\n<|cot_start|>Cipher text: ovlm yfgtqm xvwwql wqv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='ovlm' candidate='alice' length-match=False\n cipher='ovlm' candidate='rabbit' length-match=False\n cipher='ovlm' candidate='hatter' length-match=False\n cipher='ovlm' candidate='cheshire' length-match=False\n cipher='ovlm' candidate='queen' length-match=False\n cipher='ovlm' candidate='tea' length-match=False\n cipher='ovlm' candidate='cake' length-match=True\n cipher='ovlm' candidate='garden' length-match=False\n cipher='ovlm' candidate='mushroom' length-match=False\n cipher='ovlm' candidate='card' length-match=True <- assign\n cipher='ovlm' candidate='card' length-match=True <- assign\n cipher='ovlm' candidate='wonderland' length-match=False\n cipher='ovlm' candidate='white' length-match=False\n cipher='ovlm' candidate='down' length-match=True\n cipher='ovlm' candidate='smile' length-match=False\n cipher='ovlm' candidate='smiled' length-match=False\n cipher='ovlm' candidate='looking' length-match=False\n cipher='ovlm' candidate='glass' length-match=False\n cipher='ovlm' candidate='march' length-match=False\n cipher='ovlm' candidate='hare' length-match=True\n cipher='ovlm' candidate='dormouse' length-match=False\n cipher='yfgtqm' candidate='alice' length-match=False\n cipher='yfgtqm' candidate='rabbit' length-match=True\n cipher='yfgtqm' candidate='hatter' length-match=True\n cipher='yfgtqm' candidate='cheshire' length-match=False\n cipher='yfgtqm' candidate='queen' length-match=False\n cipher='yfgtqm' candidate='tea' length-match=False\n cipher='yfgtqm' candidate='cake' length-match=False\n cipher='yfgtqm' candidate='garden' length-match=True\n cipher='yfgtqm' candidate='mushroom' length-match=False\n cipher='yfgtqm' candidate='card' length-match=False\n cipher='yfgtqm' candidate='card' length-match=False\n cipher='yfgtqm' candidate='wonderland' length-match=False\n cipher='yfgtqm' candidate='white' length-match=False\n cipher='yfgtqm' candidate='down' length-match=False\n cipher='yfgtqm' candidate='smile' length-match=False\n cipher='yfgtqm' candidate='smiled' length-match=True <- assign\n cipher='yfgtqm' candidate='looking' length-match=False\n cipher='yfgtqm' candidate='glass' length-match=False\n cipher='yfgtqm' candidate='march' length-match=False\n cipher='yfgtqm' candidate='hare' length-match=False\n cipher='yfgtqm' candidate='dormouse' length-match=False\n cipher='xvwwql' candidate='alice' length-match=False\n cipher='xvwwql' candidate='rabbit' length-match=True\n cipher='xvwwql' candidate='hatter' length-match=True <- assign\n cipher='xvwwql' candidate='cheshire' length-match=False\n cipher='xvwwql' candidate='queen' length-match=False\n cipher='xvwwql' candidate='tea' length-match=False\n cipher='xvwwql' candidate='cake' length-match=False\n cipher='xvwwql' candidate='garden' length-match=True\n cipher='xvwwql' candidate='mushroom' length-match=False\n cipher='xvwwql' candidate='card' length-match=False\n cipher='xvwwql' candidate='card' length-match=False\n cipher='xvwwql' candidate='wonderland' length-match=False\n cipher='xvwwql' candidate='white' length-match=False\n cipher='xvwwql' candidate='down' length-match=False\n cipher='xvwwql' candidate='smile' length-match=False\n cipher='xvwwql' candidate='smiled' length-match=True\n cipher='xvwwql' candidate='looking' length-match=False\n cipher='xvwwql' candidate='glass' length-match=False\n cipher='xvwwql' candidate='march' length-match=False\n cipher='xvwwql' candidate='hare' length-match=False\n cipher='xvwwql' candidate='dormouse' length-match=False\n cipher='wqv' candidate='alice' length-match=False\n cipher='wqv' candidate='rabbit' length-match=False\n cipher='wqv' candidate='hatter' length-match=False\n cipher='wqv' candidate='cheshire' length-match=False\n cipher='wqv' candidate='queen' length-match=False\n cipher='wqv' candidate='tea' length-match=True <- assign\n cipher='wqv' candidate='cake' length-match=False\n cipher='wqv' candidate='garden' length-match=False\n cipher='wqv' candidate='mushroom' length-match=False\n cipher='wqv' candidate='card' length-match=False\n cipher='wqv' candidate='card' length-match=False\n cipher='wqv' candidate='wonderland' length-match=False\n cipher='wqv' candidate='white' length-match=False\n cipher='wqv' candidate='down' length-match=False\n cipher='wqv' candidate='smile' length-match=False\n cipher='wqv' candidate='smiled' length-match=False\n cipher='wqv' candidate='looking' length-match=False\n cipher='wqv' candidate='glass' length-match=False\n cipher='wqv' candidate='march' length-match=False\n cipher='wqv' candidate='hare' length-match=False\n cipher='wqv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n card smiled hatter tea\nFinal: \\boxed{card smiled hatter tea}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n psev cdtqfhhc ovs psfu\n### Reasoning:\n<|cot_start|>Cipher text: psev cdtqfhhc ovs psfu\nTry each candidate Wonderland word against each ciphertext word:\n cipher='psev' candidate='alice' length-match=False\n cipher='psev' candidate='rabbit' length-match=False\n cipher='psev' candidate='hatter' length-match=False\n cipher='psev' candidate='cheshire' length-match=False\n cipher='psev' candidate='queen' length-match=False\n cipher='psev' candidate='tea' length-match=False\n cipher='psev' candidate='cake' length-match=True <- assign\n cipher='psev' candidate='garden' length-match=False\n cipher='psev' candidate='mushroom' length-match=False\n cipher='psev' candidate='card' length-match=True\n cipher='psev' candidate='card' length-match=True\n cipher='psev' candidate='wonderland' length-match=False\n cipher='psev' candidate='white' length-match=False\n cipher='psev' candidate='down' length-match=True\n cipher='psev' candidate='smile' length-match=False\n cipher='psev' candidate='smiled' length-match=False\n cipher='psev' candidate='looking' length-match=False\n cipher='psev' candidate='glass' length-match=False\n cipher='psev' candidate='march' length-match=False\n cipher='psev' candidate='hare' length-match=True\n cipher='psev' candidate='dormouse' length-match=False\n cipher='cdtqfhhc' candidate='alice' length-match=False\n cipher='cdtqfhhc' candidate='rabbit' length-match=False\n cipher='cdtqfhhc' candidate='hatter' length-match=False\n cipher='cdtqfhhc' candidate='cheshire' length-match=True\n cipher='cdtqfhhc' candidate='queen' length-match=False\n cipher='cdtqfhhc' candidate='tea' length-match=False\n cipher='cdtqfhhc' candidate='cake' length-match=False\n cipher='cdtqfhhc' candidate='garden' length-match=False\n cipher='cdtqfhhc' candidate='mushroom' length-match=True <- assign\n cipher='cdtqfhhc' candidate='card' length-match=False\n cipher='cdtqfhhc' candidate='card' length-match=False\n cipher='cdtqfhhc' candidate='wonderland' length-match=False\n cipher='cdtqfhhc' candidate='white' length-match=False\n cipher='cdtqfhhc' candidate='down' length-match=False\n cipher='cdtqfhhc' candidate='smile' length-match=False\n cipher='cdtqfhhc' candidate='smiled' length-match=False\n cipher='cdtqfhhc' candidate='looking' length-match=False\n cipher='cdtqfhhc' candidate='glass' length-match=False\n cipher='cdtqfhhc' candidate='march' length-match=False\n cipher='cdtqfhhc' candidate='hare' length-match=False\n cipher='cdtqfhhc' candidate='dormouse' length-match=True\n cipher='ovs' candidate='alice' length-match=False\n cipher='ovs' candidate='rabbit' length-match=False\n cipher='ovs' candidate='hatter' length-match=False\n cipher='ovs' candidate='cheshire' length-match=False\n cipher='ovs' candidate='queen' length-match=False\n cipher='ovs' candidate='tea' length-match=True <- assign\n cipher='ovs' candidate='cake' length-match=False\n cipher='ovs' candidate='garden' length-match=False\n cipher='ovs' candidate='mushroom' length-match=False\n cipher='ovs' candidate='card' length-match=False\n cipher='ovs' candidate='card' length-match=False\n cipher='ovs' candidate='wonderland' length-match=False\n cipher='ovs' candidate='white' length-match=False\n cipher='ovs' candidate='down' length-match=False\n cipher='ovs' candidate='smile' length-match=False\n cipher='ovs' candidate='smiled' length-match=False\n cipher='ovs' candidate='looking' length-match=False\n cipher='ovs' candidate='glass' length-match=False\n cipher='ovs' candidate='march' length-match=False\n cipher='ovs' candidate='hare' length-match=False\n cipher='ovs' candidate='dormouse' length-match=False\n cipher='psfu' candidate='alice' length-match=False\n cipher='psfu' candidate='rabbit' length-match=False\n cipher='psfu' candidate='hatter' length-match=False\n cipher='psfu' candidate='cheshire' length-match=False\n cipher='psfu' candidate='queen' length-match=False\n cipher='psfu' candidate='tea' length-match=False\n cipher='psfu' candidate='cake' length-match=True\n cipher='psfu' candidate='garden' length-match=False\n cipher='psfu' candidate='mushroom' length-match=False\n cipher='psfu' candidate='card' length-match=True <- assign\n cipher='psfu' candidate='card' length-match=True <- assign\n cipher='psfu' candidate='wonderland' length-match=False\n cipher='psfu' candidate='white' length-match=False\n cipher='psfu' candidate='down' length-match=True\n cipher='psfu' candidate='smile' length-match=False\n cipher='psfu' candidate='smiled' length-match=False\n cipher='psfu' candidate='looking' length-match=False\n cipher='psfu' candidate='glass' length-match=False\n cipher='psfu' candidate='march' length-match=False\n cipher='psfu' candidate='hare' length-match=True\n cipher='psfu' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cake mushroom tea card\nFinal: \\boxed{cake mushroom tea card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 37,75 -> 38\n 61,72 -> 11\n 38,83 -> 45\nApply to: 20,79\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 37,75: '+' gives 112; target=38 no\n 37,75: '-' gives 38; target=38 MATCH\n 37,75: '*' gives 2775; target=38 no\n 37,75: 'concat' gives 3775; target=38 no\n 37,75: 'rev_concat' gives 7537; target=38 no\n 37,75: 'max*min+sum' gives 2887; target=38 no\n 37,75: 'digitsum2' gives 484; target=38 no\n 61,72: '+' gives 133; target=11 no\n 61,72: '-' gives 11; target=11 MATCH\n 61,72: '*' gives 4392; target=11 no\n 61,72: 'concat' gives 6172; target=11 no\n 61,72: 'rev_concat' gives 7261; target=11 no\n 61,72: 'max*min+sum' gives 4525; target=11 no\n 61,72: 'digitsum2' gives 256; target=11 no\n 38,83: '+' gives 121; target=45 no\n 38,83: '-' gives 45; target=45 MATCH\n 38,83: '*' gives 3154; target=45 no\n 38,83: 'concat' gives 3883; target=45 no\n 38,83: 'rev_concat' gives 8338; target=45 no\n 38,83: 'max*min+sum' gives 3275; target=45 no\n 38,83: 'digitsum2' gives 484; target=45 no\nThe only operator consistent with all examples is '-'.\nApply to (20, 79):\n result = 59\nFinal: \\boxed{59}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 26,42 -> 4226\n 83,46 -> 4683\n 46,33 -> 3346\nApply to: 17,45\n### Reasoning:\n<|cot_start|>Examples:\n 26,42 -> 4226\n 83,46 -> 4683\n 46,33 -> 3346\nCheck both candidate forms:\n concat(26,42)=2642 rev_concat(26,42)=4226 target=4226 rev_concat\n concat(83,46)=8346 rev_concat(83,46)=4683 target=4683 rev_concat\n concat(46,33)=4633 rev_concat(46,33)=3346 target=3346 rev_concat\nConclude operator: rev_concat.\nApply to (17, 45): answer = 4517\nFinal: \\boxed{4517}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 9 hours to minutes.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 hours = 60 minutes.\nSo 9 hours = 9 * 60 minutes.\nCompute step by step:\n 9 * 10^0 * 60 = 540\n running total = 540\nFinal: \\boxed{540}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 17,63 -> 1763\n 64,52 -> 6452\n 64,58 -> 6458\nApply to: 15,44\n### Reasoning:\n<|cot_start|>Examples:\n 17,63 -> 1763\n 64,52 -> 6452\n 64,58 -> 6458\nCheck both candidate forms:\n concat(17,63)=1763 rev_concat(17,63)=6317 target=1763 concat\n concat(64,52)=6452 rev_concat(64,52)=5264 target=6452 concat\n concat(64,58)=6458 rev_concat(64,58)=5864 target=6458 concat\nConclude operator: concat.\nApply to (15, 44): answer = 1544\nFinal: \\boxed{1544}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 43,55 -> 2365\n 85,42 -> 3570\n 66,76 -> 5016\nApply to: 14,49\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 43,55: '+' gives 98; target=2365 no\n 43,55: '-' gives 12; target=2365 no\n 43,55: '*' gives 2365; target=2365 MATCH\n 43,55: 'concat' gives 4355; target=2365 no\n 43,55: 'rev_concat' gives 5543; target=2365 no\n 43,55: 'max*min+sum' gives 2463; target=2365 no\n 43,55: 'digitsum2' gives 289; target=2365 no\n 85,42: '+' gives 127; target=3570 no\n 85,42: '-' gives 43; target=3570 no\n 85,42: '*' gives 3570; target=3570 MATCH\n 85,42: 'concat' gives 8542; target=3570 no\n 85,42: 'rev_concat' gives 4285; target=3570 no\n 85,42: 'max*min+sum' gives 3697; target=3570 no\n 85,42: 'digitsum2' gives 361; target=3570 no\n 66,76: '+' gives 142; target=5016 no\n 66,76: '-' gives 10; target=5016 no\n 66,76: '*' gives 5016; target=5016 MATCH\n 66,76: 'concat' gives 6676; target=5016 no\n 66,76: 'rev_concat' gives 7666; target=5016 no\n 66,76: 'max*min+sum' gives 5158; target=5016 no\n 66,76: 'digitsum2' gives 625; target=5016 no\nThe only operator consistent with all examples is '*'.\nApply to (14, 49):\n result = 686\nFinal: \\boxed{686}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 45 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 45 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 5 * 10^0 * 981 = 4905\n running total = 44145\nSo F = 44145 centiNewtons = 441.45 N.\nFinal: \\boxed{441.45}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n seycc ryllhu yejxh cojeh\n### Reasoning:\n<|cot_start|>Cipher text: seycc ryllhu yejxh cojeh\nTry each candidate Wonderland word against each ciphertext word:\n cipher='seycc' candidate='alice' length-match=True\n cipher='seycc' candidate='rabbit' length-match=False\n cipher='seycc' candidate='hatter' length-match=False\n cipher='seycc' candidate='cheshire' length-match=False\n cipher='seycc' candidate='queen' length-match=True\n cipher='seycc' candidate='tea' length-match=False\n cipher='seycc' candidate='cake' length-match=False\n cipher='seycc' candidate='garden' length-match=False\n cipher='seycc' candidate='mushroom' length-match=False\n cipher='seycc' candidate='card' length-match=False\n cipher='seycc' candidate='card' length-match=False\n cipher='seycc' candidate='wonderland' length-match=False\n cipher='seycc' candidate='white' length-match=True\n cipher='seycc' candidate='down' length-match=False\n cipher='seycc' candidate='smile' length-match=True\n cipher='seycc' candidate='smiled' length-match=False\n cipher='seycc' candidate='looking' length-match=False\n cipher='seycc' candidate='glass' length-match=True <- assign\n cipher='seycc' candidate='march' length-match=True\n cipher='seycc' candidate='hare' length-match=False\n cipher='seycc' candidate='dormouse' length-match=False\n cipher='ryllhu' candidate='alice' length-match=False\n cipher='ryllhu' candidate='rabbit' length-match=True\n cipher='ryllhu' candidate='hatter' length-match=True <- assign\n cipher='ryllhu' candidate='cheshire' length-match=False\n cipher='ryllhu' candidate='queen' length-match=False\n cipher='ryllhu' candidate='tea' length-match=False\n cipher='ryllhu' candidate='cake' length-match=False\n cipher='ryllhu' candidate='garden' length-match=True\n cipher='ryllhu' candidate='mushroom' length-match=False\n cipher='ryllhu' candidate='card' length-match=False\n cipher='ryllhu' candidate='card' length-match=False\n cipher='ryllhu' candidate='wonderland' length-match=False\n cipher='ryllhu' candidate='white' length-match=False\n cipher='ryllhu' candidate='down' length-match=False\n cipher='ryllhu' candidate='smile' length-match=False\n cipher='ryllhu' candidate='smiled' length-match=True\n cipher='ryllhu' candidate='looking' length-match=False\n cipher='ryllhu' candidate='glass' length-match=False\n cipher='ryllhu' candidate='march' length-match=False\n cipher='ryllhu' candidate='hare' length-match=False\n cipher='ryllhu' candidate='dormouse' length-match=False\n cipher='yejxh' candidate='alice' length-match=True <- assign\n cipher='yejxh' candidate='rabbit' length-match=False\n cipher='yejxh' candidate='hatter' length-match=False\n cipher='yejxh' candidate='cheshire' length-match=False\n cipher='yejxh' candidate='queen' length-match=True\n cipher='yejxh' candidate='tea' length-match=False\n cipher='yejxh' candidate='cake' length-match=False\n cipher='yejxh' candidate='garden' length-match=False\n cipher='yejxh' candidate='mushroom' length-match=False\n cipher='yejxh' candidate='card' length-match=False\n cipher='yejxh' candidate='card' length-match=False\n cipher='yejxh' candidate='wonderland' length-match=False\n cipher='yejxh' candidate='white' length-match=True\n cipher='yejxh' candidate='down' length-match=False\n cipher='yejxh' candidate='smile' length-match=True\n cipher='yejxh' candidate='smiled' length-match=False\n cipher='yejxh' candidate='looking' length-match=False\n cipher='yejxh' candidate='glass' length-match=True\n cipher='yejxh' candidate='march' length-match=True\n cipher='yejxh' candidate='hare' length-match=False\n cipher='yejxh' candidate='dormouse' length-match=False\n cipher='cojeh' candidate='alice' length-match=True\n cipher='cojeh' candidate='rabbit' length-match=False\n cipher='cojeh' candidate='hatter' length-match=False\n cipher='cojeh' candidate='cheshire' length-match=False\n cipher='cojeh' candidate='queen' length-match=True\n cipher='cojeh' candidate='tea' length-match=False\n cipher='cojeh' candidate='cake' length-match=False\n cipher='cojeh' candidate='garden' length-match=False\n cipher='cojeh' candidate='mushroom' length-match=False\n cipher='cojeh' candidate='card' length-match=False\n cipher='cojeh' candidate='card' length-match=False\n cipher='cojeh' candidate='wonderland' length-match=False\n cipher='cojeh' candidate='white' length-match=True\n cipher='cojeh' candidate='down' length-match=False\n cipher='cojeh' candidate='smile' length-match=True <- assign\n cipher='cojeh' candidate='smiled' length-match=False\n cipher='cojeh' candidate='looking' length-match=False\n cipher='cojeh' candidate='glass' length-match=True\n cipher='cojeh' candidate='march' length-match=True\n cipher='cojeh' candidate='hare' length-match=False\n cipher='cojeh' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n glass hatter alice smile\nFinal: \\boxed{glass hatter alice smile}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 94 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 94 kilograms = 94 * 1000 grams.\nCompute step by step:\n 9 * 10^1 * 1000 = 90000\n running total = 90000\n 4 * 10^0 * 1000 = 4000\n running total = 94000\nFinal: \\boxed{94000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n pusetfhyse huugvsc eups zwtlwvft\n### Reasoning:\n<|cot_start|>Cipher text: pusetfhyse huugvsc eups zwtlwvft\nTry each candidate Wonderland word against each ciphertext word:\n cipher='pusetfhyse' candidate='alice' length-match=False\n cipher='pusetfhyse' candidate='rabbit' length-match=False\n cipher='pusetfhyse' candidate='hatter' length-match=False\n cipher='pusetfhyse' candidate='cheshire' length-match=False\n cipher='pusetfhyse' candidate='queen' length-match=False\n cipher='pusetfhyse' candidate='tea' length-match=False\n cipher='pusetfhyse' candidate='cake' length-match=False\n cipher='pusetfhyse' candidate='garden' length-match=False\n cipher='pusetfhyse' candidate='mushroom' length-match=False\n cipher='pusetfhyse' candidate='card' length-match=False\n cipher='pusetfhyse' candidate='card' length-match=False\n cipher='pusetfhyse' candidate='wonderland' length-match=True <- assign\n cipher='pusetfhyse' candidate='white' length-match=False\n cipher='pusetfhyse' candidate='down' length-match=False\n cipher='pusetfhyse' candidate='smile' length-match=False\n cipher='pusetfhyse' candidate='smiled' length-match=False\n cipher='pusetfhyse' candidate='looking' length-match=False\n cipher='pusetfhyse' candidate='glass' length-match=False\n cipher='pusetfhyse' candidate='march' length-match=False\n cipher='pusetfhyse' candidate='hare' length-match=False\n cipher='pusetfhyse' candidate='dormouse' length-match=False\n cipher='huugvsc' candidate='alice' length-match=False\n cipher='huugvsc' candidate='rabbit' length-match=False\n cipher='huugvsc' candidate='hatter' length-match=False\n cipher='huugvsc' candidate='cheshire' length-match=False\n cipher='huugvsc' candidate='queen' length-match=False\n cipher='huugvsc' candidate='tea' length-match=False\n cipher='huugvsc' candidate='cake' length-match=False\n cipher='huugvsc' candidate='garden' length-match=False\n cipher='huugvsc' candidate='mushroom' length-match=False\n cipher='huugvsc' candidate='card' length-match=False\n cipher='huugvsc' candidate='card' length-match=False\n cipher='huugvsc' candidate='wonderland' length-match=False\n cipher='huugvsc' candidate='white' length-match=False\n cipher='huugvsc' candidate='down' length-match=False\n cipher='huugvsc' candidate='smile' length-match=False\n cipher='huugvsc' candidate='smiled' length-match=False\n cipher='huugvsc' candidate='looking' length-match=True <- assign\n cipher='huugvsc' candidate='glass' length-match=False\n cipher='huugvsc' candidate='march' length-match=False\n cipher='huugvsc' candidate='hare' length-match=False\n cipher='huugvsc' candidate='dormouse' length-match=False\n cipher='eups' candidate='alice' length-match=False\n cipher='eups' candidate='rabbit' length-match=False\n cipher='eups' candidate='hatter' length-match=False\n cipher='eups' candidate='cheshire' length-match=False\n cipher='eups' candidate='queen' length-match=False\n cipher='eups' candidate='tea' length-match=False\n cipher='eups' candidate='cake' length-match=True\n cipher='eups' candidate='garden' length-match=False\n cipher='eups' candidate='mushroom' length-match=False\n cipher='eups' candidate='card' length-match=True\n cipher='eups' candidate='card' length-match=True\n cipher='eups' candidate='wonderland' length-match=False\n cipher='eups' candidate='white' length-match=False\n cipher='eups' candidate='down' length-match=True <- assign\n cipher='eups' candidate='smile' length-match=False\n cipher='eups' candidate='smiled' length-match=False\n cipher='eups' candidate='looking' length-match=False\n cipher='eups' candidate='glass' length-match=False\n cipher='eups' candidate='march' length-match=False\n cipher='eups' candidate='hare' length-match=True\n cipher='eups' candidate='dormouse' length-match=False\n cipher='zwtlwvft' candidate='alice' length-match=False\n cipher='zwtlwvft' candidate='rabbit' length-match=False\n cipher='zwtlwvft' candidate='hatter' length-match=False\n cipher='zwtlwvft' candidate='cheshire' length-match=True <- assign\n cipher='zwtlwvft' candidate='queen' length-match=False\n cipher='zwtlwvft' candidate='tea' length-match=False\n cipher='zwtlwvft' candidate='cake' length-match=False\n cipher='zwtlwvft' candidate='garden' length-match=False\n cipher='zwtlwvft' candidate='mushroom' length-match=True\n cipher='zwtlwvft' candidate='card' length-match=False\n cipher='zwtlwvft' candidate='card' length-match=False\n cipher='zwtlwvft' candidate='wonderland' length-match=False\n cipher='zwtlwvft' candidate='white' length-match=False\n cipher='zwtlwvft' candidate='down' length-match=False\n cipher='zwtlwvft' candidate='smile' length-match=False\n cipher='zwtlwvft' candidate='smiled' length-match=False\n cipher='zwtlwvft' candidate='looking' length-match=False\n cipher='zwtlwvft' candidate='glass' length-match=False\n cipher='zwtlwvft' candidate='march' length-match=False\n cipher='zwtlwvft' candidate='hare' length-match=False\n cipher='zwtlwvft' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n wonderland looking down cheshire\nFinal: \\boxed{wonderland looking down cheshire}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 37 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 37 minutes = 37 * 60 seconds.\nCompute step by step:\n 3 * 10^1 * 60 = 1800\n running total = 1800\n 7 * 10^0 * 60 = 420\n running total = 2220\nFinal: \\boxed{2220}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n I = 1 -> 70 + 1 = 71\nFinal: \\boxed{71}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n IX = 9 -> 30 + 9 = 39\nFinal: \\boxed{39}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 47,10 -> 4710\n 32,98 -> 3298\n 83,68 -> 8368\nApply to: 78,18\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 47,10: '+' gives 57; target=4710 no\n 47,10: '-' gives 37; target=4710 no\n 47,10: '*' gives 470; target=4710 no\n 47,10: 'concat' gives 4710; target=4710 MATCH\n 47,10: 'rev_concat' gives 1047; target=4710 no\n 47,10: 'max*min+sum' gives 527; target=4710 no\n 47,10: 'digitsum2' gives 144; target=4710 no\n 32,98: '+' gives 130; target=3298 no\n 32,98: '-' gives 66; target=3298 no\n 32,98: '*' gives 3136; target=3298 no\n 32,98: 'concat' gives 3298; target=3298 MATCH\n 32,98: 'rev_concat' gives 9832; target=3298 no\n 32,98: 'max*min+sum' gives 3266; target=3298 no\n 32,98: 'digitsum2' gives 484; target=3298 no\n 83,68: '+' gives 151; target=8368 no\n 83,68: '-' gives 15; target=8368 no\n 83,68: '*' gives 5644; target=8368 no\n 83,68: 'concat' gives 8368; target=8368 MATCH\n 83,68: 'rev_concat' gives 6883; target=8368 no\n 83,68: 'max*min+sum' gives 5795; target=8368 no\n 83,68: 'digitsum2' gives 625; target=8368 no\nThe only operator consistent with all examples is 'concat'.\nApply to (78, 18):\n result = 7818\nFinal: \\boxed{7818}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n I = 1 -> 90 + 1 = 91\nFinal: \\boxed{91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10001010 -> 11111010\n 01010001 -> 11110001\n 10000110 -> 11110110\nApply to: 00010111\n### Reasoning:\n<|cot_start|>Given examples:\n 10001010 -> 11111010\n 01010001 -> 11110001\n 10000110 -> 11110110\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 1,1,1\n bit 1: 0,1,0 -> 1,1,1\n bit 2: 0,0,0 -> 1,1,1\n bit 3: 0,1,0 -> 1,1,1\n bit 4: 1,0,0 -> 1,0,0\n bit 5: 0,0,1 -> 0,0,1\n bit 6: 1,0,1 -> 1,0,1\n bit 7: 0,1,0 -> 0,1,0\nDeduce rule: or 0xF0.\nApply to 00010111:\n result = 11110111\nFinal: \\boxed{11110111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11111000 -> 11110001\n 11110001 -> 11100011\n 10000111 -> 00001111\nApply to: 11001110\n### Reasoning:\n<|cot_start|>Given examples:\n 11111000 -> 11110001\n 11110001 -> 11100011\n 10000111 -> 00001111\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 1,1,0\n bit 1: 1,1,0 -> 1,1,0\n bit 2: 1,1,0 -> 1,1,0\n bit 3: 1,1,0 -> 1,0,0\n bit 4: 1,0,0 -> 0,0,1\n bit 5: 0,0,1 -> 0,0,1\n bit 6: 0,0,1 -> 0,1,1\n bit 7: 0,1,1 -> 1,1,1\nDeduce rule: rotate left 1.\nApply to 11001110:\n result = 10011101\nFinal: \\boxed{10011101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 6 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 6 metres = 6 * 100 centimetres.\nCompute step by step:\n 6 * 10^0 * 100 = 600\n running total = 600\nFinal: \\boxed{600}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 46 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 46 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 6 * 10^0 * 981 = 5886\n running total = 45126\nSo F = 45126 centiNewtons = 451.26 N.\nFinal: \\boxed{451.26}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n I = 1 -> 60 + 1 = 61\n I = 1 -> 61 + 1 = 62\nFinal: \\boxed{62}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 31 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 31 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 1 * 10^0 * 981 = 981\n running total = 30411\nSo F = 30411 centiNewtons = 304.11 N.\nFinal: \\boxed{304.11}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 50,13 -> 1350\n 96,69 -> 6996\n 75,39 -> 3975\nApply to: 43,58\n### Reasoning:\n<|cot_start|>Examples:\n 50,13 -> 1350\n 96,69 -> 6996\n 75,39 -> 3975\nCheck both candidate forms:\n concat(50,13)=5013 rev_concat(50,13)=1350 target=1350 rev_concat\n concat(96,69)=9669 rev_concat(96,69)=6996 target=6996 rev_concat\n concat(75,39)=7539 rev_concat(75,39)=3975 target=3975 rev_concat\nConclude operator: rev_concat.\nApply to (43, 58): answer = 5843\nFinal: \\boxed{5843}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 32 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 32 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 2 * 10^0 * 981 = 1962\n running total = 31392\nSo F = 31392 centiNewtons = 313.92 N.\nFinal: \\boxed{313.92}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n I = 1 -> 40 + 1 = 41\n I = 1 -> 41 + 1 = 42\n I = 1 -> 42 + 1 = 43\nFinal: \\boxed{43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n I = 1 -> 90 + 1 = 91\n I = 1 -> 91 + 1 = 92\n I = 1 -> 92 + 1 = 93\nFinal: \\boxed{93}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n V = 5 -> 20 + 5 = 25\nFinal: \\boxed{25}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n V = 5 -> 60 + 5 = 65\n I = 1 -> 65 + 1 = 66\nFinal: \\boxed{66}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 83 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 83 kilometres = 83 * 1000 metres.\nCompute step by step:\n 8 * 10^1 * 1000 = 80000\n running total = 80000\n 3 * 10^0 * 1000 = 3000\n running total = 83000\nFinal: \\boxed{83000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n lpsmpwut umaht xbsltz jbst\n### Reasoning:\n<|cot_start|>Cipher text: lpsmpwut umaht xbsltz jbst\nTry each candidate Wonderland word against each ciphertext word:\n cipher='lpsmpwut' candidate='alice' length-match=False\n cipher='lpsmpwut' candidate='rabbit' length-match=False\n cipher='lpsmpwut' candidate='hatter' length-match=False\n cipher='lpsmpwut' candidate='cheshire' length-match=True\n cipher='lpsmpwut' candidate='queen' length-match=False\n cipher='lpsmpwut' candidate='tea' length-match=False\n cipher='lpsmpwut' candidate='cake' length-match=False\n cipher='lpsmpwut' candidate='garden' length-match=False\n cipher='lpsmpwut' candidate='mushroom' length-match=True\n cipher='lpsmpwut' candidate='card' length-match=False\n cipher='lpsmpwut' candidate='card' length-match=False\n cipher='lpsmpwut' candidate='wonderland' length-match=False\n cipher='lpsmpwut' candidate='white' length-match=False\n cipher='lpsmpwut' candidate='down' length-match=False\n cipher='lpsmpwut' candidate='smile' length-match=False\n cipher='lpsmpwut' candidate='smiled' length-match=False\n cipher='lpsmpwut' candidate='looking' length-match=False\n cipher='lpsmpwut' candidate='glass' length-match=False\n cipher='lpsmpwut' candidate='march' length-match=False\n cipher='lpsmpwut' candidate='hare' length-match=False\n cipher='lpsmpwut' candidate='dormouse' length-match=True <- assign\n cipher='umaht' candidate='alice' length-match=True\n cipher='umaht' candidate='rabbit' length-match=False\n cipher='umaht' candidate='hatter' length-match=False\n cipher='umaht' candidate='cheshire' length-match=False\n cipher='umaht' candidate='queen' length-match=True\n cipher='umaht' candidate='tea' length-match=False\n cipher='umaht' candidate='cake' length-match=False\n cipher='umaht' candidate='garden' length-match=False\n cipher='umaht' candidate='mushroom' length-match=False\n cipher='umaht' candidate='card' length-match=False\n cipher='umaht' candidate='card' length-match=False\n cipher='umaht' candidate='wonderland' length-match=False\n cipher='umaht' candidate='white' length-match=True\n cipher='umaht' candidate='down' length-match=False\n cipher='umaht' candidate='smile' length-match=True <- assign\n cipher='umaht' candidate='smiled' length-match=False\n cipher='umaht' candidate='looking' length-match=False\n cipher='umaht' candidate='glass' length-match=True\n cipher='umaht' candidate='march' length-match=True\n cipher='umaht' candidate='hare' length-match=False\n cipher='umaht' candidate='dormouse' length-match=False\n cipher='xbsltz' candidate='alice' length-match=False\n cipher='xbsltz' candidate='rabbit' length-match=True\n cipher='xbsltz' candidate='hatter' length-match=True\n cipher='xbsltz' candidate='cheshire' length-match=False\n cipher='xbsltz' candidate='queen' length-match=False\n cipher='xbsltz' candidate='tea' length-match=False\n cipher='xbsltz' candidate='cake' length-match=False\n cipher='xbsltz' candidate='garden' length-match=True <- assign\n cipher='xbsltz' candidate='mushroom' length-match=False\n cipher='xbsltz' candidate='card' length-match=False\n cipher='xbsltz' candidate='card' length-match=False\n cipher='xbsltz' candidate='wonderland' length-match=False\n cipher='xbsltz' candidate='white' length-match=False\n cipher='xbsltz' candidate='down' length-match=False\n cipher='xbsltz' candidate='smile' length-match=False\n cipher='xbsltz' candidate='smiled' length-match=True\n cipher='xbsltz' candidate='looking' length-match=False\n cipher='xbsltz' candidate='glass' length-match=False\n cipher='xbsltz' candidate='march' length-match=False\n cipher='xbsltz' candidate='hare' length-match=False\n cipher='xbsltz' candidate='dormouse' length-match=False\n cipher='jbst' candidate='alice' length-match=False\n cipher='jbst' candidate='rabbit' length-match=False\n cipher='jbst' candidate='hatter' length-match=False\n cipher='jbst' candidate='cheshire' length-match=False\n cipher='jbst' candidate='queen' length-match=False\n cipher='jbst' candidate='tea' length-match=False\n cipher='jbst' candidate='cake' length-match=True\n cipher='jbst' candidate='garden' length-match=False\n cipher='jbst' candidate='mushroom' length-match=False\n cipher='jbst' candidate='card' length-match=True\n cipher='jbst' candidate='card' length-match=True\n cipher='jbst' candidate='wonderland' length-match=False\n cipher='jbst' candidate='white' length-match=False\n cipher='jbst' candidate='down' length-match=True\n cipher='jbst' candidate='smile' length-match=False\n cipher='jbst' candidate='smiled' length-match=False\n cipher='jbst' candidate='looking' length-match=False\n cipher='jbst' candidate='glass' length-match=False\n cipher='jbst' candidate='march' length-match=False\n cipher='jbst' candidate='hare' length-match=True <- assign\n cipher='jbst' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n dormouse smile garden hare\nFinal: \\boxed{dormouse smile garden hare}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 33,67 -> 6733\n 43,32 -> 3243\n 14,56 -> 5614\nApply to: 96,47\n### Reasoning:\n<|cot_start|>Examples:\n 33,67 -> 6733\n 43,32 -> 3243\n 14,56 -> 5614\nCheck both candidate forms:\n concat(33,67)=3367 rev_concat(33,67)=6733 target=6733 rev_concat\n concat(43,32)=4332 rev_concat(43,32)=3243 target=3243 rev_concat\n concat(14,56)=1456 rev_concat(14,56)=5614 target=5614 rev_concat\nConclude operator: rev_concat.\nApply to (96, 47): answer = 4796\nFinal: \\boxed{4796}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10010110 -> 01101001\n 10011110 -> 01100001\n 00011101 -> 11100010\nApply to: 00000000\n### Reasoning:\n<|cot_start|>Given examples:\n 10010110 -> 01101001\n 10011110 -> 01100001\n 00011101 -> 11100010\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 0,0,1\n bit 1: 0,0,0 -> 1,1,1\n bit 2: 0,0,0 -> 1,1,1\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 0,1,1 -> 1,0,0\n bit 5: 1,1,1 -> 0,0,0\n bit 6: 1,1,0 -> 0,0,1\n bit 7: 0,0,1 -> 1,1,0\nDeduce rule: invert (NOT).\nApply to 00000000:\n result = 11111111\nFinal: \\boxed{11111111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral IX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n IX = 9 -> 0 + 9 = 9\nFinal: \\boxed{9}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 88,47 -> 4788\n 98,43 -> 4398\n 72,10 -> 1072\nApply to: 67,30\n### Reasoning:\n<|cot_start|>Examples:\n 88,47 -> 4788\n 98,43 -> 4398\n 72,10 -> 1072\nCheck both candidate forms:\n concat(88,47)=8847 rev_concat(88,47)=4788 target=4788 rev_concat\n concat(98,43)=9843 rev_concat(98,43)=4398 target=4398 rev_concat\n concat(72,10)=7210 rev_concat(72,10)=1072 target=1072 rev_concat\nConclude operator: rev_concat.\nApply to (67, 30): answer = 3067\nFinal: \\boxed{3067}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 11 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 11 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 1 * 10^0 * 981 = 981\n running total = 10791\nSo F = 10791 centiNewtons = 107.91 N.\nFinal: \\boxed{107.91}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 9 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 9 * 981.\nStep-by-step multiplication:\n 9 * 10^0 * 981 = 8829\n running total = 8829\nSo F = 8829 centiNewtons = 88.29 N.\nFinal: \\boxed{88.29}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 17 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 17 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 7 * 10^0 * 981 = 6867\n running total = 16677\nSo F = 16677 centiNewtons = 166.77 N.\nFinal: \\boxed{166.77}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 34 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 34 metres = 34 * 100 centimetres.\nCompute step by step:\n 3 * 10^1 * 100 = 3000\n running total = 3000\n 4 * 10^0 * 100 = 400\n running total = 3400\nFinal: \\boxed{3400}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00100001 -> 10010000\n 01110100 -> 00111010\n 10101001 -> 11010100\nApply to: 01110110\n### Reasoning:\n<|cot_start|>Given examples:\n 00100001 -> 10010000\n 01110100 -> 00111010\n 10101001 -> 11010100\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,0,1\n bit 1: 0,1,0 -> 0,0,1\n bit 2: 1,1,1 -> 0,1,0\n bit 3: 0,1,0 -> 1,1,1\n bit 4: 0,0,1 -> 0,1,0\n bit 5: 0,1,0 -> 0,0,1\n bit 6: 0,0,0 -> 0,1,0\n bit 7: 1,0,1 -> 0,0,0\nDeduce rule: rotate right 1.\nApply to 01110110:\n result = 00111011\nFinal: \\boxed{00111011}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 92,24 -> 9224\n 62,36 -> 6236\n 53,21 -> 5321\nApply to: 23,27\n### Reasoning:\n<|cot_start|>Examples:\n 92,24 -> 9224\n 62,36 -> 6236\n 53,21 -> 5321\nCheck both candidate forms:\n concat(92,24)=9224 rev_concat(92,24)=2492 target=9224 concat\n concat(62,36)=6236 rev_concat(62,36)=3662 target=6236 concat\n concat(53,21)=5321 rev_concat(53,21)=2153 target=5321 concat\nConclude operator: concat.\nApply to (23, 27): answer = 2327\nFinal: \\boxed{2327}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 34 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 34 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 4 * 10^0 * 981 = 3924\n running total = 33354\nSo F = 33354 centiNewtons = 333.54 N.\nFinal: \\boxed{333.54}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n X = 10 -> 70 + 10 = 80\nFinal: \\boxed{80}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\nFinal: \\boxed{70}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 96,82 -> 178\n 41,78 -> 119\n 18,37 -> 55\nApply to: 51,67\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 96,82: '+' gives 178; target=178 MATCH\n 96,82: '-' gives 14; target=178 no\n 96,82: '*' gives 7872; target=178 no\n 96,82: 'concat' gives 9682; target=178 no\n 96,82: 'rev_concat' gives 8296; target=178 no\n 96,82: 'max*min+sum' gives 8050; target=178 no\n 96,82: 'digitsum2' gives 625; target=178 no\n 41,78: '+' gives 119; target=119 MATCH\n 41,78: '-' gives 37; target=119 no\n 41,78: '*' gives 3198; target=119 no\n 41,78: 'concat' gives 4178; target=119 no\n 41,78: 'rev_concat' gives 7841; target=119 no\n 41,78: 'max*min+sum' gives 3317; target=119 no\n 41,78: 'digitsum2' gives 400; target=119 no\n 18,37: '+' gives 55; target=55 MATCH\n 18,37: '-' gives 19; target=55 no\n 18,37: '*' gives 666; target=55 no\n 18,37: 'concat' gives 1837; target=55 no\n 18,37: 'rev_concat' gives 3718; target=55 no\n 18,37: 'max*min+sum' gives 721; target=55 no\n 18,37: 'digitsum2' gives 361; target=55 no\nThe only operator consistent with all examples is '+'.\nApply to (51, 67):\n result = 118\nFinal: \\boxed{118}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00001000 -> 01011101\n 11010110 -> 10000011\n 10111010 -> 11101111\nApply to: 01011111\n### Reasoning:\n<|cot_start|>Given examples:\n 00001000 -> 01011101\n 11010110 -> 10000011\n 10111010 -> 11101111\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,1,1\n bit 1: 0,1,0 -> 1,0,1\n bit 2: 0,0,1 -> 0,0,1\n bit 3: 0,1,1 -> 1,0,0\n bit 4: 1,0,1 -> 1,0,1\n bit 5: 0,1,0 -> 1,0,1\n bit 6: 0,1,1 -> 0,1,1\n bit 7: 0,0,0 -> 1,1,1\nDeduce rule: xor 0x55.\nApply to 01011111:\n result = 00001010\nFinal: \\boxed{00001010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 84 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 84 kilograms = 84 * 1000 grams.\nCompute step by step:\n 8 * 10^1 * 1000 = 80000\n running total = 80000\n 4 * 10^0 * 1000 = 4000\n running total = 84000\nFinal: \\boxed{84000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n I = 1 -> 10 + 1 = 11\n I = 1 -> 11 + 1 = 12\n I = 1 -> 12 + 1 = 13\nFinal: \\boxed{13}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 6 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 6 * 981.\nStep-by-step multiplication:\n 6 * 10^0 * 981 = 5886\n running total = 5886\nSo F = 5886 centiNewtons = 58.86 N.\nFinal: \\boxed{58.86}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 42 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 42 kilometres = 42 * 1000 metres.\nCompute step by step:\n 4 * 10^1 * 1000 = 40000\n running total = 40000\n 2 * 10^0 * 1000 = 2000\n running total = 42000\nFinal: \\boxed{42000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 63,42 -> 4263\n 11,56 -> 5611\n 27,15 -> 1527\nApply to: 75,37\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 63,42: '+' gives 105; target=4263 no\n 63,42: '-' gives 21; target=4263 no\n 63,42: '*' gives 2646; target=4263 no\n 63,42: 'concat' gives 6342; target=4263 no\n 63,42: 'rev_concat' gives 4263; target=4263 MATCH\n 63,42: 'max*min+sum' gives 2751; target=4263 no\n 63,42: 'digitsum2' gives 225; target=4263 no\n 11,56: '+' gives 67; target=5611 no\n 11,56: '-' gives 45; target=5611 no\n 11,56: '*' gives 616; target=5611 no\n 11,56: 'concat' gives 1156; target=5611 no\n 11,56: 'rev_concat' gives 5611; target=5611 MATCH\n 11,56: 'max*min+sum' gives 683; target=5611 no\n 11,56: 'digitsum2' gives 169; target=5611 no\n 27,15: '+' gives 42; target=1527 no\n 27,15: '-' gives 12; target=1527 no\n 27,15: '*' gives 405; target=1527 no\n 27,15: 'concat' gives 2715; target=1527 no\n 27,15: 'rev_concat' gives 1527; target=1527 MATCH\n 27,15: 'max*min+sum' gives 447; target=1527 no\n 27,15: 'digitsum2' gives 225; target=1527 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (75, 37):\n result = 3775\nFinal: \\boxed{3775}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11010000 -> 10000101\n 10010010 -> 11000111\n 00010101 -> 01000000\nApply to: 10000100\n### Reasoning:\n<|cot_start|>Given examples:\n 11010000 -> 10000101\n 10010010 -> 11000111\n 00010101 -> 01000000\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 1,1,0\n bit 1: 1,0,0 -> 0,1,1\n bit 2: 0,0,0 -> 0,0,0\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 0,0,1 -> 1,1,0\n bit 6: 0,1,0 -> 0,1,0\n bit 7: 0,0,1 -> 1,1,0\nDeduce rule: xor 0x55.\nApply to 10000100:\n result = 11010001\nFinal: \\boxed{11010001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 36,22 -> 3622\n 48,48 -> 4848\n 34,23 -> 3423\nApply to: 41,62\n### Reasoning:\n<|cot_start|>Examples:\n 36,22 -> 3622\n 48,48 -> 4848\n 34,23 -> 3423\nCheck both candidate forms:\n concat(36,22)=3622 rev_concat(36,22)=2236 target=3622 concat\n concat(48,48)=4848 rev_concat(48,48)=4848 target=4848 concat\n concat(34,23)=3423 rev_concat(34,23)=2334 target=3423 concat\nConclude operator: concat.\nApply to (41, 62): answer = 4162\nFinal: \\boxed{4162}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 30,32 -> 960\n 45,35 -> 1575\n 25,55 -> 1375\nApply to: 58,29\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 30,32: '+' gives 62; target=960 no\n 30,32: '-' gives 2; target=960 no\n 30,32: '*' gives 960; target=960 MATCH\n 30,32: 'concat' gives 3032; target=960 no\n 30,32: 'rev_concat' gives 3230; target=960 no\n 30,32: 'max*min+sum' gives 1022; target=960 no\n 30,32: 'digitsum2' gives 64; target=960 no\n 45,35: '+' gives 80; target=1575 no\n 45,35: '-' gives 10; target=1575 no\n 45,35: '*' gives 1575; target=1575 MATCH\n 45,35: 'concat' gives 4535; target=1575 no\n 45,35: 'rev_concat' gives 3545; target=1575 no\n 45,35: 'max*min+sum' gives 1655; target=1575 no\n 45,35: 'digitsum2' gives 289; target=1575 no\n 25,55: '+' gives 80; target=1375 no\n 25,55: '-' gives 30; target=1375 no\n 25,55: '*' gives 1375; target=1375 MATCH\n 25,55: 'concat' gives 2555; target=1375 no\n 25,55: 'rev_concat' gives 5525; target=1375 no\n 25,55: 'max*min+sum' gives 1455; target=1375 no\n 25,55: 'digitsum2' gives 289; target=1375 no\nThe only operator consistent with all examples is '*'.\nApply to (58, 29):\n result = 1682\nFinal: \\boxed{1682}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 94,83 -> 9483\n 85,11 -> 8511\n 21,14 -> 2114\nApply to: 29,88\n### Reasoning:\n<|cot_start|>Examples:\n 94,83 -> 9483\n 85,11 -> 8511\n 21,14 -> 2114\nCheck both candidate forms:\n concat(94,83)=9483 rev_concat(94,83)=8394 target=9483 concat\n concat(85,11)=8511 rev_concat(85,11)=1185 target=8511 concat\n concat(21,14)=2114 rev_concat(21,14)=1421 target=2114 concat\nConclude operator: concat.\nApply to (29, 88): answer = 2988\nFinal: \\boxed{2988}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01011111 -> 11110101\n 01110001 -> 11011011\n 11101100 -> 01000110\nApply to: 10100101\n### Reasoning:\n<|cot_start|>Given examples:\n 01011111 -> 11110101\n 01110001 -> 11011011\n 11101100 -> 01000110\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,0\n bit 1: 1,1,1 -> 1,1,1\n bit 2: 0,1,1 -> 1,0,0\n bit 3: 1,1,0 -> 1,1,0\n bit 4: 1,0,1 -> 0,1,0\n bit 5: 1,0,1 -> 1,0,1\n bit 6: 1,0,0 -> 0,1,1\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: xor 0xAA.\nApply to 10100101:\n result = 00001111\nFinal: \\boxed{00001111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 49 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 49 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 9 * 10^0 * 981 = 8829\n running total = 48069\nSo F = 48069 centiNewtons = 480.69 N.\nFinal: \\boxed{480.69}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral II to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n I = 1 -> 0 + 1 = 1\n I = 1 -> 1 + 1 = 2\nFinal: \\boxed{2}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n I = 1 -> 10 + 1 = 11\n I = 1 -> 11 + 1 = 12\n I = 1 -> 12 + 1 = 13\nFinal: \\boxed{13}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n I = 1 -> 10 + 1 = 11\n I = 1 -> 11 + 1 = 12\nFinal: \\boxed{12}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00010011 -> 00110001\n 11011001 -> 10011101\n 11100000 -> 00001110\nApply to: 11100001\n### Reasoning:\n<|cot_start|>Given examples:\n 00010011 -> 00110001\n 11011001 -> 10011101\n 11100000 -> 00001110\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,1,0\n bit 1: 0,1,1 -> 0,0,0\n bit 2: 0,0,1 -> 1,0,0\n bit 3: 1,1,0 -> 1,1,0\n bit 4: 0,1,0 -> 0,1,1\n bit 5: 0,0,0 -> 0,1,1\n bit 6: 1,0,0 -> 0,0,1\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: swap nibbles.\nApply to 11100001:\n result = 00011110\nFinal: \\boxed{00011110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n syucydzu rxuua hela ivzsy\n### Reasoning:\n<|cot_start|>Cipher text: syucydzu rxuua hela ivzsy\nTry each candidate Wonderland word against each ciphertext word:\n cipher='syucydzu' candidate='alice' length-match=False\n cipher='syucydzu' candidate='rabbit' length-match=False\n cipher='syucydzu' candidate='hatter' length-match=False\n cipher='syucydzu' candidate='cheshire' length-match=True <- assign\n cipher='syucydzu' candidate='queen' length-match=False\n cipher='syucydzu' candidate='tea' length-match=False\n cipher='syucydzu' candidate='cake' length-match=False\n cipher='syucydzu' candidate='garden' length-match=False\n cipher='syucydzu' candidate='mushroom' length-match=True\n cipher='syucydzu' candidate='card' length-match=False\n cipher='syucydzu' candidate='card' length-match=False\n cipher='syucydzu' candidate='wonderland' length-match=False\n cipher='syucydzu' candidate='white' length-match=False\n cipher='syucydzu' candidate='down' length-match=False\n cipher='syucydzu' candidate='smile' length-match=False\n cipher='syucydzu' candidate='smiled' length-match=False\n cipher='syucydzu' candidate='looking' length-match=False\n cipher='syucydzu' candidate='glass' length-match=False\n cipher='syucydzu' candidate='march' length-match=False\n cipher='syucydzu' candidate='hare' length-match=False\n cipher='syucydzu' candidate='dormouse' length-match=True\n cipher='rxuua' candidate='alice' length-match=True\n cipher='rxuua' candidate='rabbit' length-match=False\n cipher='rxuua' candidate='hatter' length-match=False\n cipher='rxuua' candidate='cheshire' length-match=False\n cipher='rxuua' candidate='queen' length-match=True <- assign\n cipher='rxuua' candidate='tea' length-match=False\n cipher='rxuua' candidate='cake' length-match=False\n cipher='rxuua' candidate='garden' length-match=False\n cipher='rxuua' candidate='mushroom' length-match=False\n cipher='rxuua' candidate='card' length-match=False\n cipher='rxuua' candidate='card' length-match=False\n cipher='rxuua' candidate='wonderland' length-match=False\n cipher='rxuua' candidate='white' length-match=True\n cipher='rxuua' candidate='down' length-match=False\n cipher='rxuua' candidate='smile' length-match=True\n cipher='rxuua' candidate='smiled' length-match=False\n cipher='rxuua' candidate='looking' length-match=False\n cipher='rxuua' candidate='glass' length-match=True\n cipher='rxuua' candidate='march' length-match=True\n cipher='rxuua' candidate='hare' length-match=False\n cipher='rxuua' candidate='dormouse' length-match=False\n cipher='hela' candidate='alice' length-match=False\n cipher='hela' candidate='rabbit' length-match=False\n cipher='hela' candidate='hatter' length-match=False\n cipher='hela' candidate='cheshire' length-match=False\n cipher='hela' candidate='queen' length-match=False\n cipher='hela' candidate='tea' length-match=False\n cipher='hela' candidate='cake' length-match=True\n cipher='hela' candidate='garden' length-match=False\n cipher='hela' candidate='mushroom' length-match=False\n cipher='hela' candidate='card' length-match=True\n cipher='hela' candidate='card' length-match=True\n cipher='hela' candidate='wonderland' length-match=False\n cipher='hela' candidate='white' length-match=False\n cipher='hela' candidate='down' length-match=True <- assign\n cipher='hela' candidate='smile' length-match=False\n cipher='hela' candidate='smiled' length-match=False\n cipher='hela' candidate='looking' length-match=False\n cipher='hela' candidate='glass' length-match=False\n cipher='hela' candidate='march' length-match=False\n cipher='hela' candidate='hare' length-match=True\n cipher='hela' candidate='dormouse' length-match=False\n cipher='ivzsy' candidate='alice' length-match=True\n cipher='ivzsy' candidate='rabbit' length-match=False\n cipher='ivzsy' candidate='hatter' length-match=False\n cipher='ivzsy' candidate='cheshire' length-match=False\n cipher='ivzsy' candidate='queen' length-match=True\n cipher='ivzsy' candidate='tea' length-match=False\n cipher='ivzsy' candidate='cake' length-match=False\n cipher='ivzsy' candidate='garden' length-match=False\n cipher='ivzsy' candidate='mushroom' length-match=False\n cipher='ivzsy' candidate='card' length-match=False\n cipher='ivzsy' candidate='card' length-match=False\n cipher='ivzsy' candidate='wonderland' length-match=False\n cipher='ivzsy' candidate='white' length-match=True\n cipher='ivzsy' candidate='down' length-match=False\n cipher='ivzsy' candidate='smile' length-match=True\n cipher='ivzsy' candidate='smiled' length-match=False\n cipher='ivzsy' candidate='looking' length-match=False\n cipher='ivzsy' candidate='glass' length-match=True\n cipher='ivzsy' candidate='march' length-match=True <- assign\n cipher='ivzsy' candidate='hare' length-match=False\n cipher='ivzsy' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cheshire queen down march\nFinal: \\boxed{cheshire queen down march}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 98,40 -> 4098\n 19,71 -> 7119\n 34,55 -> 5534\nApply to: 64,44\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 98,40: '+' gives 138; target=4098 no\n 98,40: '-' gives 58; target=4098 no\n 98,40: '*' gives 3920; target=4098 no\n 98,40: 'concat' gives 9840; target=4098 no\n 98,40: 'rev_concat' gives 4098; target=4098 MATCH\n 98,40: 'max*min+sum' gives 4058; target=4098 no\n 98,40: 'digitsum2' gives 441; target=4098 no\n 19,71: '+' gives 90; target=7119 no\n 19,71: '-' gives 52; target=7119 no\n 19,71: '*' gives 1349; target=7119 no\n 19,71: 'concat' gives 1971; target=7119 no\n 19,71: 'rev_concat' gives 7119; target=7119 MATCH\n 19,71: 'max*min+sum' gives 1439; target=7119 no\n 19,71: 'digitsum2' gives 324; target=7119 no\n 34,55: '+' gives 89; target=5534 no\n 34,55: '-' gives 21; target=5534 no\n 34,55: '*' gives 1870; target=5534 no\n 34,55: 'concat' gives 3455; target=5534 no\n 34,55: 'rev_concat' gives 5534; target=5534 MATCH\n 34,55: 'max*min+sum' gives 1959; target=5534 no\n 34,55: 'digitsum2' gives 289; target=5534 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (64, 44):\n result = 4464\nFinal: \\boxed{4464}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 57,46 -> 4657\n 54,82 -> 8254\n 12,40 -> 4012\nApply to: 85,11\n### Reasoning:\n<|cot_start|>Examples:\n 57,46 -> 4657\n 54,82 -> 8254\n 12,40 -> 4012\nCheck both candidate forms:\n concat(57,46)=5746 rev_concat(57,46)=4657 target=4657 rev_concat\n concat(54,82)=5482 rev_concat(54,82)=8254 target=8254 rev_concat\n concat(12,40)=1240 rev_concat(12,40)=4012 target=4012 rev_concat\nConclude operator: rev_concat.\nApply to (85, 11): answer = 1185\nFinal: \\boxed{1185}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n V = 5 -> 60 + 5 = 65\n I = 1 -> 65 + 1 = 66\nFinal: \\boxed{66}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 70 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 70 kilometres = 70 * 1000 metres.\nCompute step by step:\n 7 * 10^1 * 1000 = 70000\n running total = 70000\n 0 * 10^0 * 1000 = 0\n running total = 70000\nFinal: \\boxed{70000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 23 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 23 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 3 * 10^0 * 981 = 2943\n running total = 22563\nSo F = 22563 centiNewtons = 225.63 N.\nFinal: \\boxed{225.63}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01100111 -> 11110111\n 11011000 -> 11111000\n 10001011 -> 11111011\nApply to: 11010000\n### Reasoning:\n<|cot_start|>Given examples:\n 01100111 -> 11110111\n 11011000 -> 11111000\n 10001011 -> 11111011\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 1,1,1\n bit 1: 1,1,0 -> 1,1,1\n bit 2: 1,0,0 -> 1,1,1\n bit 3: 0,1,0 -> 1,1,1\n bit 4: 0,1,1 -> 0,1,1\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 1,0,1 -> 1,0,1\n bit 7: 1,0,1 -> 1,0,1\nDeduce rule: or 0xF0.\nApply to 11010000:\n result = 11110000\nFinal: \\boxed{11110000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 81,35 -> 116\n 83,96 -> 179\n 95,10 -> 105\nApply to: 12,12\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 81,35: '+' gives 116; target=116 MATCH\n 81,35: '-' gives 46; target=116 no\n 81,35: '*' gives 2835; target=116 no\n 81,35: 'concat' gives 8135; target=116 no\n 81,35: 'rev_concat' gives 3581; target=116 no\n 81,35: 'max*min+sum' gives 2951; target=116 no\n 81,35: 'digitsum2' gives 289; target=116 no\n 83,96: '+' gives 179; target=179 MATCH\n 83,96: '-' gives 13; target=179 no\n 83,96: '*' gives 7968; target=179 no\n 83,96: 'concat' gives 8396; target=179 no\n 83,96: 'rev_concat' gives 9683; target=179 no\n 83,96: 'max*min+sum' gives 8147; target=179 no\n 83,96: 'digitsum2' gives 676; target=179 no\n 95,10: '+' gives 105; target=105 MATCH\n 95,10: '-' gives 85; target=105 no\n 95,10: '*' gives 950; target=105 no\n 95,10: 'concat' gives 9510; target=105 no\n 95,10: 'rev_concat' gives 1095; target=105 no\n 95,10: 'max*min+sum' gives 1055; target=105 no\n 95,10: 'digitsum2' gives 225; target=105 no\nThe only operator consistent with all examples is '+'.\nApply to (12, 12):\n result = 24\nFinal: \\boxed{24}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 22,31 -> 64\n 30,87 -> 324\n 85,87 -> 784\nApply to: 16,66\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 22,31: '+' gives 53; target=64 no\n 22,31: '-' gives 9; target=64 no\n 22,31: '*' gives 682; target=64 no\n 22,31: 'concat' gives 2231; target=64 no\n 22,31: 'rev_concat' gives 3122; target=64 no\n 22,31: 'max*min+sum' gives 735; target=64 no\n 22,31: 'digitsum2' gives 64; target=64 MATCH\n 30,87: '+' gives 117; target=324 no\n 30,87: '-' gives 57; target=324 no\n 30,87: '*' gives 2610; target=324 no\n 30,87: 'concat' gives 3087; target=324 no\n 30,87: 'rev_concat' gives 8730; target=324 no\n 30,87: 'max*min+sum' gives 2727; target=324 no\n 30,87: 'digitsum2' gives 324; target=324 MATCH\n 85,87: '+' gives 172; target=784 no\n 85,87: '-' gives 2; target=784 no\n 85,87: '*' gives 7395; target=784 no\n 85,87: 'concat' gives 8587; target=784 no\n 85,87: 'rev_concat' gives 8785; target=784 no\n 85,87: 'max*min+sum' gives 7567; target=784 no\n 85,87: 'digitsum2' gives 784; target=784 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (16, 66):\n result = 361\nFinal: \\boxed{361}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 39,24 -> 2439\n 92,16 -> 1692\n 58,66 -> 6658\nApply to: 58,92\n### Reasoning:\n<|cot_start|>Examples:\n 39,24 -> 2439\n 92,16 -> 1692\n 58,66 -> 6658\nCheck both candidate forms:\n concat(39,24)=3924 rev_concat(39,24)=2439 target=2439 rev_concat\n concat(92,16)=9216 rev_concat(92,16)=1692 target=1692 rev_concat\n concat(58,66)=5866 rev_concat(58,66)=6658 target=6658 rev_concat\nConclude operator: rev_concat.\nApply to (58, 92): answer = 9258\nFinal: \\boxed{9258}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 89 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 89 minutes = 89 * 60 seconds.\nCompute step by step:\n 8 * 10^1 * 60 = 4800\n running total = 4800\n 9 * 10^0 * 60 = 540\n running total = 5340\nFinal: \\boxed{5340}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\nFinal: \\boxed{70}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 44 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 44 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 4 * 10^0 * 981 = 3924\n running total = 43164\nSo F = 43164 centiNewtons = 431.64 N.\nFinal: \\boxed{431.64}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 59,17 -> 42\n 54,52 -> 2\n 31,21 -> 10\nApply to: 81,45\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 59,17: '+' gives 76; target=42 no\n 59,17: '-' gives 42; target=42 MATCH\n 59,17: '*' gives 1003; target=42 no\n 59,17: 'concat' gives 5917; target=42 no\n 59,17: 'rev_concat' gives 1759; target=42 no\n 59,17: 'max*min+sum' gives 1079; target=42 no\n 59,17: 'digitsum2' gives 484; target=42 no\n 54,52: '+' gives 106; target=2 no\n 54,52: '-' gives 2; target=2 MATCH\n 54,52: '*' gives 2808; target=2 no\n 54,52: 'concat' gives 5452; target=2 no\n 54,52: 'rev_concat' gives 5254; target=2 no\n 54,52: 'max*min+sum' gives 2914; target=2 no\n 54,52: 'digitsum2' gives 256; target=2 no\n 31,21: '+' gives 52; target=10 no\n 31,21: '-' gives 10; target=10 MATCH\n 31,21: '*' gives 651; target=10 no\n 31,21: 'concat' gives 3121; target=10 no\n 31,21: 'rev_concat' gives 2131; target=10 no\n 31,21: 'max*min+sum' gives 703; target=10 no\n 31,21: 'digitsum2' gives 49; target=10 no\nThe only operator consistent with all examples is '-'.\nApply to (81, 45):\n result = 36\nFinal: \\boxed{36}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 82 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 82 kilometres = 82 * 1000 metres.\nCompute step by step:\n 8 * 10^1 * 1000 = 80000\n running total = 80000\n 2 * 10^0 * 1000 = 2000\n running total = 82000\nFinal: \\boxed{82000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 27 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 27 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 7 * 10^0 * 981 = 6867\n running total = 26487\nSo F = 26487 centiNewtons = 264.87 N.\nFinal: \\boxed{264.87}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 42 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 42 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 2 * 10^0 * 981 = 1962\n running total = 41202\nSo F = 41202 centiNewtons = 412.02 N.\nFinal: \\boxed{412.02}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n IX = 9 -> 20 + 9 = 29\nFinal: \\boxed{29}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n lfpufibp fsjjpb rsblf uriqp\n### Reasoning:\n<|cot_start|>Cipher text: lfpufibp fsjjpb rsblf uriqp\nTry each candidate Wonderland word against each ciphertext word:\n cipher='lfpufibp' candidate='alice' length-match=False\n cipher='lfpufibp' candidate='rabbit' length-match=False\n cipher='lfpufibp' candidate='hatter' length-match=False\n cipher='lfpufibp' candidate='cheshire' length-match=True <- assign\n cipher='lfpufibp' candidate='queen' length-match=False\n cipher='lfpufibp' candidate='tea' length-match=False\n cipher='lfpufibp' candidate='cake' length-match=False\n cipher='lfpufibp' candidate='garden' length-match=False\n cipher='lfpufibp' candidate='mushroom' length-match=True\n cipher='lfpufibp' candidate='card' length-match=False\n cipher='lfpufibp' candidate='card' length-match=False\n cipher='lfpufibp' candidate='wonderland' length-match=False\n cipher='lfpufibp' candidate='white' length-match=False\n cipher='lfpufibp' candidate='down' length-match=False\n cipher='lfpufibp' candidate='smile' length-match=False\n cipher='lfpufibp' candidate='smiled' length-match=False\n cipher='lfpufibp' candidate='looking' length-match=False\n cipher='lfpufibp' candidate='glass' length-match=False\n cipher='lfpufibp' candidate='march' length-match=False\n cipher='lfpufibp' candidate='hare' length-match=False\n cipher='lfpufibp' candidate='dormouse' length-match=True\n cipher='fsjjpb' candidate='alice' length-match=False\n cipher='fsjjpb' candidate='rabbit' length-match=True\n cipher='fsjjpb' candidate='hatter' length-match=True <- assign\n cipher='fsjjpb' candidate='cheshire' length-match=False\n cipher='fsjjpb' candidate='queen' length-match=False\n cipher='fsjjpb' candidate='tea' length-match=False\n cipher='fsjjpb' candidate='cake' length-match=False\n cipher='fsjjpb' candidate='garden' length-match=True\n cipher='fsjjpb' candidate='mushroom' length-match=False\n cipher='fsjjpb' candidate='card' length-match=False\n cipher='fsjjpb' candidate='card' length-match=False\n cipher='fsjjpb' candidate='wonderland' length-match=False\n cipher='fsjjpb' candidate='white' length-match=False\n cipher='fsjjpb' candidate='down' length-match=False\n cipher='fsjjpb' candidate='smile' length-match=False\n cipher='fsjjpb' candidate='smiled' length-match=True\n cipher='fsjjpb' candidate='looking' length-match=False\n cipher='fsjjpb' candidate='glass' length-match=False\n cipher='fsjjpb' candidate='march' length-match=False\n cipher='fsjjpb' candidate='hare' length-match=False\n cipher='fsjjpb' candidate='dormouse' length-match=False\n cipher='rsblf' candidate='alice' length-match=True\n cipher='rsblf' candidate='rabbit' length-match=False\n cipher='rsblf' candidate='hatter' length-match=False\n cipher='rsblf' candidate='cheshire' length-match=False\n cipher='rsblf' candidate='queen' length-match=True\n cipher='rsblf' candidate='tea' length-match=False\n cipher='rsblf' candidate='cake' length-match=False\n cipher='rsblf' candidate='garden' length-match=False\n cipher='rsblf' candidate='mushroom' length-match=False\n cipher='rsblf' candidate='card' length-match=False\n cipher='rsblf' candidate='card' length-match=False\n cipher='rsblf' candidate='wonderland' length-match=False\n cipher='rsblf' candidate='white' length-match=True\n cipher='rsblf' candidate='down' length-match=False\n cipher='rsblf' candidate='smile' length-match=True\n cipher='rsblf' candidate='smiled' length-match=False\n cipher='rsblf' candidate='looking' length-match=False\n cipher='rsblf' candidate='glass' length-match=True\n cipher='rsblf' candidate='march' length-match=True <- assign\n cipher='rsblf' candidate='hare' length-match=False\n cipher='rsblf' candidate='dormouse' length-match=False\n cipher='uriqp' candidate='alice' length-match=True\n cipher='uriqp' candidate='rabbit' length-match=False\n cipher='uriqp' candidate='hatter' length-match=False\n cipher='uriqp' candidate='cheshire' length-match=False\n cipher='uriqp' candidate='queen' length-match=True\n cipher='uriqp' candidate='tea' length-match=False\n cipher='uriqp' candidate='cake' length-match=False\n cipher='uriqp' candidate='garden' length-match=False\n cipher='uriqp' candidate='mushroom' length-match=False\n cipher='uriqp' candidate='card' length-match=False\n cipher='uriqp' candidate='card' length-match=False\n cipher='uriqp' candidate='wonderland' length-match=False\n cipher='uriqp' candidate='white' length-match=True\n cipher='uriqp' candidate='down' length-match=False\n cipher='uriqp' candidate='smile' length-match=True <- assign\n cipher='uriqp' candidate='smiled' length-match=False\n cipher='uriqp' candidate='looking' length-match=False\n cipher='uriqp' candidate='glass' length-match=True\n cipher='uriqp' candidate='march' length-match=True\n cipher='uriqp' candidate='hare' length-match=False\n cipher='uriqp' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n cheshire hatter march smile\nFinal: \\boxed{cheshire hatter march smile}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10010001 -> 11001000\n 11000000 -> 01100000\n 00001011 -> 10000101\nApply to: 11111111\n### Reasoning:\n<|cot_start|>Given examples:\n 10010001 -> 11001000\n 11000000 -> 01100000\n 00001011 -> 10000101\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 1,0,1\n bit 1: 0,1,0 -> 1,1,0\n bit 2: 0,0,0 -> 0,1,0\n bit 3: 1,0,0 -> 0,0,0\n bit 4: 0,0,1 -> 1,0,0\n bit 5: 0,0,0 -> 0,0,1\n bit 6: 0,0,1 -> 0,0,0\n bit 7: 1,0,1 -> 0,0,1\nDeduce rule: rotate right 1.\nApply to 11111111:\n result = 11111111\nFinal: \\boxed{11111111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 94 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 94 metres = 94 * 100 centimetres.\nCompute step by step:\n 9 * 10^1 * 100 = 9000\n running total = 9000\n 4 * 10^0 * 100 = 400\n running total = 9400\nFinal: \\boxed{9400}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00010011 -> 11110011\n 01010001 -> 11110001\n 11110101 -> 11110101\nApply to: 01010000\n### Reasoning:\n<|cot_start|>Given examples:\n 00010011 -> 11110011\n 01010001 -> 11110001\n 11110101 -> 11110101\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,1\n bit 1: 0,1,1 -> 1,1,1\n bit 2: 0,0,1 -> 1,1,1\n bit 3: 1,1,1 -> 1,1,1\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 0,0,1 -> 0,0,1\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 1,1,1 -> 1,1,1\nDeduce rule: or 0xF0.\nApply to 01010000:\n result = 11110000\nFinal: \\boxed{11110000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n qtrgbx xdztdcqb hcbbf juzxbf\n### Reasoning:\n<|cot_start|>Cipher text: qtrgbx xdztdcqb hcbbf juzxbf\nTry each candidate Wonderland word against each ciphertext word:\n cipher='qtrgbx' candidate='alice' length-match=False\n cipher='qtrgbx' candidate='rabbit' length-match=True\n cipher='qtrgbx' candidate='hatter' length-match=True\n cipher='qtrgbx' candidate='cheshire' length-match=False\n cipher='qtrgbx' candidate='queen' length-match=False\n cipher='qtrgbx' candidate='tea' length-match=False\n cipher='qtrgbx' candidate='cake' length-match=False\n cipher='qtrgbx' candidate='garden' length-match=True\n cipher='qtrgbx' candidate='mushroom' length-match=False\n cipher='qtrgbx' candidate='card' length-match=False\n cipher='qtrgbx' candidate='card' length-match=False\n cipher='qtrgbx' candidate='wonderland' length-match=False\n cipher='qtrgbx' candidate='white' length-match=False\n cipher='qtrgbx' candidate='down' length-match=False\n cipher='qtrgbx' candidate='smile' length-match=False\n cipher='qtrgbx' candidate='smiled' length-match=True <- assign\n cipher='qtrgbx' candidate='looking' length-match=False\n cipher='qtrgbx' candidate='glass' length-match=False\n cipher='qtrgbx' candidate='march' length-match=False\n cipher='qtrgbx' candidate='hare' length-match=False\n cipher='qtrgbx' candidate='dormouse' length-match=False\n cipher='xdztdcqb' candidate='alice' length-match=False\n cipher='xdztdcqb' candidate='rabbit' length-match=False\n cipher='xdztdcqb' candidate='hatter' length-match=False\n cipher='xdztdcqb' candidate='cheshire' length-match=True\n cipher='xdztdcqb' candidate='queen' length-match=False\n cipher='xdztdcqb' candidate='tea' length-match=False\n cipher='xdztdcqb' candidate='cake' length-match=False\n cipher='xdztdcqb' candidate='garden' length-match=False\n cipher='xdztdcqb' candidate='mushroom' length-match=True\n cipher='xdztdcqb' candidate='card' length-match=False\n cipher='xdztdcqb' candidate='card' length-match=False\n cipher='xdztdcqb' candidate='wonderland' length-match=False\n cipher='xdztdcqb' candidate='white' length-match=False\n cipher='xdztdcqb' candidate='down' length-match=False\n cipher='xdztdcqb' candidate='smile' length-match=False\n cipher='xdztdcqb' candidate='smiled' length-match=False\n cipher='xdztdcqb' candidate='looking' length-match=False\n cipher='xdztdcqb' candidate='glass' length-match=False\n cipher='xdztdcqb' candidate='march' length-match=False\n cipher='xdztdcqb' candidate='hare' length-match=False\n cipher='xdztdcqb' candidate='dormouse' length-match=True <- assign\n cipher='hcbbf' candidate='alice' length-match=True\n cipher='hcbbf' candidate='rabbit' length-match=False\n cipher='hcbbf' candidate='hatter' length-match=False\n cipher='hcbbf' candidate='cheshire' length-match=False\n cipher='hcbbf' candidate='queen' length-match=True <- assign\n cipher='hcbbf' candidate='tea' length-match=False\n cipher='hcbbf' candidate='cake' length-match=False\n cipher='hcbbf' candidate='garden' length-match=False\n cipher='hcbbf' candidate='mushroom' length-match=False\n cipher='hcbbf' candidate='card' length-match=False\n cipher='hcbbf' candidate='card' length-match=False\n cipher='hcbbf' candidate='wonderland' length-match=False\n cipher='hcbbf' candidate='white' length-match=True\n cipher='hcbbf' candidate='down' length-match=False\n cipher='hcbbf' candidate='smile' length-match=True\n cipher='hcbbf' candidate='smiled' length-match=False\n cipher='hcbbf' candidate='looking' length-match=False\n cipher='hcbbf' candidate='glass' length-match=True\n cipher='hcbbf' candidate='march' length-match=True\n cipher='hcbbf' candidate='hare' length-match=False\n cipher='hcbbf' candidate='dormouse' length-match=False\n cipher='juzxbf' candidate='alice' length-match=False\n cipher='juzxbf' candidate='rabbit' length-match=True\n cipher='juzxbf' candidate='hatter' length-match=True\n cipher='juzxbf' candidate='cheshire' length-match=False\n cipher='juzxbf' candidate='queen' length-match=False\n cipher='juzxbf' candidate='tea' length-match=False\n cipher='juzxbf' candidate='cake' length-match=False\n cipher='juzxbf' candidate='garden' length-match=True <- assign\n cipher='juzxbf' candidate='mushroom' length-match=False\n cipher='juzxbf' candidate='card' length-match=False\n cipher='juzxbf' candidate='card' length-match=False\n cipher='juzxbf' candidate='wonderland' length-match=False\n cipher='juzxbf' candidate='white' length-match=False\n cipher='juzxbf' candidate='down' length-match=False\n cipher='juzxbf' candidate='smile' length-match=False\n cipher='juzxbf' candidate='smiled' length-match=True\n cipher='juzxbf' candidate='looking' length-match=False\n cipher='juzxbf' candidate='glass' length-match=False\n cipher='juzxbf' candidate='march' length-match=False\n cipher='juzxbf' candidate='hare' length-match=False\n cipher='juzxbf' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n smiled dormouse queen garden\nFinal: \\boxed{smiled dormouse queen garden}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00111011 -> 01110110\n 01111100 -> 11111000\n 10110100 -> 01101001\nApply to: 11001100\n### Reasoning:\n<|cot_start|>Given examples:\n 00111011 -> 01110110\n 01111100 -> 11111000\n 10110100 -> 01101001\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 0,1,0\n bit 1: 0,1,0 -> 1,1,1\n bit 2: 1,1,1 -> 1,1,1\n bit 3: 1,1,1 -> 1,1,0\n bit 4: 1,1,0 -> 0,1,1\n bit 5: 0,1,1 -> 1,0,0\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 1,0,0 -> 0,0,1\nDeduce rule: rotate left 1.\nApply to 11001100:\n result = 10011001\nFinal: \\boxed{10011001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00111110 -> 11000001\n 00110011 -> 11001100\n 10011110 -> 01100001\nApply to: 00101010\n### Reasoning:\n<|cot_start|>Given examples:\n 00111110 -> 11000001\n 00110011 -> 11001100\n 10011110 -> 01100001\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,1,0\n bit 1: 0,0,0 -> 1,1,1\n bit 2: 1,1,0 -> 0,0,1\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 1,0,1 -> 0,1,0\n bit 5: 1,0,1 -> 0,1,0\n bit 6: 1,1,1 -> 0,0,0\n bit 7: 0,1,0 -> 1,0,1\nDeduce rule: invert (NOT).\nApply to 00101010:\n result = 11010101\nFinal: \\boxed{11010101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 50 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 50 * 981.\nStep-by-step multiplication:\n 5 * 10^1 * 981 = 49050\n running total = 49050\n 0 * 10^0 * 981 = 0\n running total = 49050\nSo F = 49050 centiNewtons = 490.50 N.\nFinal: \\boxed{490.50}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 45,63 -> 4563\n 37,75 -> 3775\n 23,88 -> 2388\nApply to: 56,91\n### Reasoning:\n<|cot_start|>Examples:\n 45,63 -> 4563\n 37,75 -> 3775\n 23,88 -> 2388\nCheck both candidate forms:\n concat(45,63)=4563 rev_concat(45,63)=6345 target=4563 concat\n concat(37,75)=3775 rev_concat(37,75)=7537 target=3775 concat\n concat(23,88)=2388 rev_concat(23,88)=8823 target=2388 concat\nConclude operator: concat.\nApply to (56, 91): answer = 5691\nFinal: \\boxed{5691}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n I = 1 -> 10 + 1 = 11\nFinal: \\boxed{11}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11010111 -> 11101011\n 10100100 -> 01010010\n 11011001 -> 11101100\nApply to: 11111011\n### Reasoning:\n<|cot_start|>Given examples:\n 11010111 -> 11101011\n 10100100 -> 01010010\n 11011001 -> 11101100\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 1,0,1\n bit 1: 1,0,1 -> 1,1,1\n bit 2: 0,1,0 -> 1,0,1\n bit 3: 1,0,1 -> 0,1,0\n bit 4: 0,0,1 -> 1,0,1\n bit 5: 1,1,0 -> 0,0,1\n bit 6: 1,0,0 -> 1,1,0\n bit 7: 1,0,1 -> 1,0,0\nDeduce rule: rotate right 1.\nApply to 11111011:\n result = 11111101\nFinal: \\boxed{11111101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 71,55 -> 7155\n 42,65 -> 4265\n 32,14 -> 3214\nApply to: 77,32\n### Reasoning:\n<|cot_start|>Examples:\n 71,55 -> 7155\n 42,65 -> 4265\n 32,14 -> 3214\nCheck both candidate forms:\n concat(71,55)=7155 rev_concat(71,55)=5571 target=7155 concat\n concat(42,65)=4265 rev_concat(42,65)=6542 target=4265 concat\n concat(32,14)=3214 rev_concat(32,14)=1432 target=3214 concat\nConclude operator: concat.\nApply to (77, 32): answer = 7732\nFinal: \\boxed{7732}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 44,63 -> 6344\n 17,41 -> 4117\n 85,44 -> 4485\nApply to: 34,53\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 44,63: '+' gives 107; target=6344 no\n 44,63: '-' gives 19; target=6344 no\n 44,63: '*' gives 2772; target=6344 no\n 44,63: 'concat' gives 4463; target=6344 no\n 44,63: 'rev_concat' gives 6344; target=6344 MATCH\n 44,63: 'max*min+sum' gives 2879; target=6344 no\n 44,63: 'digitsum2' gives 289; target=6344 no\n 17,41: '+' gives 58; target=4117 no\n 17,41: '-' gives 24; target=4117 no\n 17,41: '*' gives 697; target=4117 no\n 17,41: 'concat' gives 1741; target=4117 no\n 17,41: 'rev_concat' gives 4117; target=4117 MATCH\n 17,41: 'max*min+sum' gives 755; target=4117 no\n 17,41: 'digitsum2' gives 169; target=4117 no\n 85,44: '+' gives 129; target=4485 no\n 85,44: '-' gives 41; target=4485 no\n 85,44: '*' gives 3740; target=4485 no\n 85,44: 'concat' gives 8544; target=4485 no\n 85,44: 'rev_concat' gives 4485; target=4485 MATCH\n 85,44: 'max*min+sum' gives 3869; target=4485 no\n 85,44: 'digitsum2' gives 441; target=4485 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (34, 53):\n result = 5334\nFinal: \\boxed{5334}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00101000 -> 00010100\n 10101011 -> 11010101\n 11010101 -> 11101010\nApply to: 00000011\n### Reasoning:\n<|cot_start|>Given examples:\n 00101000 -> 00010100\n 10101011 -> 11010101\n 11010101 -> 11101010\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,1,1\n bit 1: 0,0,1 -> 0,1,1\n bit 2: 1,1,0 -> 0,0,1\n bit 3: 0,0,1 -> 1,1,0\n bit 4: 1,1,0 -> 0,0,1\n bit 5: 0,0,1 -> 1,1,0\n bit 6: 0,1,0 -> 0,0,1\n bit 7: 0,1,1 -> 0,1,0\nDeduce rule: rotate right 1.\nApply to 00000011:\n result = 10000001\nFinal: \\boxed{10000001}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 93,78 -> 7425\n 50,93 -> 4793\n 99,73 -> 7399\nApply to: 88,74\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 93,78: '+' gives 171; target=7425 no\n 93,78: '-' gives 15; target=7425 no\n 93,78: '*' gives 7254; target=7425 no\n 93,78: 'concat' gives 9378; target=7425 no\n 93,78: 'rev_concat' gives 7893; target=7425 no\n 93,78: 'max*min+sum' gives 7425; target=7425 MATCH\n 93,78: 'digitsum2' gives 729; target=7425 no\n 50,93: '+' gives 143; target=4793 no\n 50,93: '-' gives 43; target=4793 no\n 50,93: '*' gives 4650; target=4793 no\n 50,93: 'concat' gives 5093; target=4793 no\n 50,93: 'rev_concat' gives 9350; target=4793 no\n 50,93: 'max*min+sum' gives 4793; target=4793 MATCH\n 50,93: 'digitsum2' gives 289; target=4793 no\n 99,73: '+' gives 172; target=7399 no\n 99,73: '-' gives 26; target=7399 no\n 99,73: '*' gives 7227; target=7399 no\n 99,73: 'concat' gives 9973; target=7399 no\n 99,73: 'rev_concat' gives 7399; target=7399 MATCH\n 99,73: 'max*min+sum' gives 7399; target=7399 MATCH\n 99,73: 'digitsum2' gives 784; target=7399 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (88, 74):\n result = 6674\nFinal: \\boxed{6674}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01110111 -> 11101110\n 01100101 -> 10100110\n 00010000 -> 00001000\nApply to: 01100001\n### Reasoning:\n<|cot_start|>Given examples:\n 01110111 -> 11101110\n 01100101 -> 10100110\n 00010000 -> 00001000\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 1,1,0\n bit 1: 1,1,0 -> 1,0,0\n bit 2: 1,1,0 -> 1,1,0\n bit 3: 1,0,1 -> 0,0,0\n bit 4: 0,0,0 -> 1,0,1\n bit 5: 1,1,0 -> 1,1,0\n bit 6: 1,0,0 -> 1,1,0\n bit 7: 1,1,0 -> 0,0,0\nDeduce rule: reverse bits.\nApply to 01100001:\n result = 10000110\nFinal: \\boxed{10000110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n I = 1 -> 10 + 1 = 11\n I = 1 -> 11 + 1 = 12\nFinal: \\boxed{12}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 48,55 -> 103\n 26,69 -> 95\n 57,15 -> 72\nApply to: 52,23\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 48,55: '+' gives 103; target=103 MATCH\n 48,55: '-' gives 7; target=103 no\n 48,55: '*' gives 2640; target=103 no\n 48,55: 'concat' gives 4855; target=103 no\n 48,55: 'rev_concat' gives 5548; target=103 no\n 48,55: 'max*min+sum' gives 2743; target=103 no\n 48,55: 'digitsum2' gives 484; target=103 no\n 26,69: '+' gives 95; target=95 MATCH\n 26,69: '-' gives 43; target=95 no\n 26,69: '*' gives 1794; target=95 no\n 26,69: 'concat' gives 2669; target=95 no\n 26,69: 'rev_concat' gives 6926; target=95 no\n 26,69: 'max*min+sum' gives 1889; target=95 no\n 26,69: 'digitsum2' gives 529; target=95 no\n 57,15: '+' gives 72; target=72 MATCH\n 57,15: '-' gives 42; target=72 no\n 57,15: '*' gives 855; target=72 no\n 57,15: 'concat' gives 5715; target=72 no\n 57,15: 'rev_concat' gives 1557; target=72 no\n 57,15: 'max*min+sum' gives 927; target=72 no\n 57,15: 'digitsum2' gives 324; target=72 no\nThe only operator consistent with all examples is '+'.\nApply to (52, 23):\n result = 75\nFinal: \\boxed{75}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XCVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XC = 90 -> 0 + 90 = 90\n V = 5 -> 90 + 5 = 95\n I = 1 -> 95 + 1 = 96\n I = 1 -> 96 + 1 = 97\n I = 1 -> 97 + 1 = 98\nFinal: \\boxed{98}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 74,11 -> 1174\n 76,18 -> 1876\n 94,63 -> 6394\nApply to: 94,24\n### Reasoning:\n<|cot_start|>Examples:\n 74,11 -> 1174\n 76,18 -> 1876\n 94,63 -> 6394\nCheck both candidate forms:\n concat(74,11)=7411 rev_concat(74,11)=1174 target=1174 rev_concat\n concat(76,18)=7618 rev_concat(76,18)=1876 target=1876 rev_concat\n concat(94,63)=9463 rev_concat(94,63)=6394 target=6394 rev_concat\nConclude operator: rev_concat.\nApply to (94, 24): answer = 2494\nFinal: \\boxed{2494}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 95,94 -> 9594\n 15,38 -> 1538\n 66,90 -> 6690\nApply to: 74,62\n### Reasoning:\n<|cot_start|>Examples:\n 95,94 -> 9594\n 15,38 -> 1538\n 66,90 -> 6690\nCheck both candidate forms:\n concat(95,94)=9594 rev_concat(95,94)=9495 target=9594 concat\n concat(15,38)=1538 rev_concat(15,38)=3815 target=1538 concat\n concat(66,90)=6690 rev_concat(66,90)=9066 target=6690 concat\nConclude operator: concat.\nApply to (74, 62): answer = 7462\nFinal: \\boxed{7462}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 17,73 -> 7317\n 19,12 -> 1219\n 93,16 -> 1693\nApply to: 86,34\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 17,73: '+' gives 90; target=7317 no\n 17,73: '-' gives 56; target=7317 no\n 17,73: '*' gives 1241; target=7317 no\n 17,73: 'concat' gives 1773; target=7317 no\n 17,73: 'rev_concat' gives 7317; target=7317 MATCH\n 17,73: 'max*min+sum' gives 1331; target=7317 no\n 17,73: 'digitsum2' gives 324; target=7317 no\n 19,12: '+' gives 31; target=1219 no\n 19,12: '-' gives 7; target=1219 no\n 19,12: '*' gives 228; target=1219 no\n 19,12: 'concat' gives 1912; target=1219 no\n 19,12: 'rev_concat' gives 1219; target=1219 MATCH\n 19,12: 'max*min+sum' gives 259; target=1219 no\n 19,12: 'digitsum2' gives 169; target=1219 no\n 93,16: '+' gives 109; target=1693 no\n 93,16: '-' gives 77; target=1693 no\n 93,16: '*' gives 1488; target=1693 no\n 93,16: 'concat' gives 9316; target=1693 no\n 93,16: 'rev_concat' gives 1693; target=1693 MATCH\n 93,16: 'max*min+sum' gives 1597; target=1693 no\n 93,16: 'digitsum2' gives 361; target=1693 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (86, 34):\n result = 3486\nFinal: \\boxed{3486}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 3 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 3 * 981.\nStep-by-step multiplication:\n 3 * 10^0 * 981 = 2943\n running total = 2943\nSo F = 2943 centiNewtons = 29.43 N.\nFinal: \\boxed{29.43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 44 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 44 * 981.\nStep-by-step multiplication:\n 4 * 10^1 * 981 = 39240\n running total = 39240\n 4 * 10^0 * 981 = 3924\n running total = 43164\nSo F = 43164 centiNewtons = 431.64 N.\nFinal: \\boxed{431.64}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 51 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 51 litres = 51 * 1000 millilitres.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 1 * 10^0 * 1000 = 1000\n running total = 51000\nFinal: \\boxed{51000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXXVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n X = 10 -> 70 + 10 = 80\n V = 5 -> 80 + 5 = 85\n I = 1 -> 85 + 1 = 86\nFinal: \\boxed{86}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 96,45 -> 4596\n 21,86 -> 8621\n 84,33 -> 3384\nApply to: 23,68\n### Reasoning:\n<|cot_start|>Examples:\n 96,45 -> 4596\n 21,86 -> 8621\n 84,33 -> 3384\nCheck both candidate forms:\n concat(96,45)=9645 rev_concat(96,45)=4596 target=4596 rev_concat\n concat(21,86)=2186 rev_concat(21,86)=8621 target=8621 rev_concat\n concat(84,33)=8433 rev_concat(84,33)=3384 target=3384 rev_concat\nConclude operator: rev_concat.\nApply to (23, 68): answer = 6823\nFinal: \\boxed{6823}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 15,56 -> 289\n 75,43 -> 361\n 60,78 -> 441\nApply to: 93,86\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 15,56: '+' gives 71; target=289 no\n 15,56: '-' gives 41; target=289 no\n 15,56: '*' gives 840; target=289 no\n 15,56: 'concat' gives 1556; target=289 no\n 15,56: 'rev_concat' gives 5615; target=289 no\n 15,56: 'max*min+sum' gives 911; target=289 no\n 15,56: 'digitsum2' gives 289; target=289 MATCH\n 75,43: '+' gives 118; target=361 no\n 75,43: '-' gives 32; target=361 no\n 75,43: '*' gives 3225; target=361 no\n 75,43: 'concat' gives 7543; target=361 no\n 75,43: 'rev_concat' gives 4375; target=361 no\n 75,43: 'max*min+sum' gives 3343; target=361 no\n 75,43: 'digitsum2' gives 361; target=361 MATCH\n 60,78: '+' gives 138; target=441 no\n 60,78: '-' gives 18; target=441 no\n 60,78: '*' gives 4680; target=441 no\n 60,78: 'concat' gives 6078; target=441 no\n 60,78: 'rev_concat' gives 7860; target=441 no\n 60,78: 'max*min+sum' gives 4818; target=441 no\n 60,78: 'digitsum2' gives 441; target=441 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (93, 86):\n result = 676\nFinal: \\boxed{676}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 1 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 1 kilometres = 1 * 1000 metres.\nCompute step by step:\n 1 * 10^0 * 1000 = 1000\n running total = 1000\nFinal: \\boxed{1000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11000001 -> 10010100\n 10111110 -> 11101011\n 10100101 -> 11110000\nApply to: 11001000\n### Reasoning:\n<|cot_start|>Given examples:\n 11000001 -> 10010100\n 10111110 -> 11101011\n 10100101 -> 11110000\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 1,1,1\n bit 1: 1,0,0 -> 0,1,1\n bit 2: 0,1,1 -> 0,1,1\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 0,1,1 -> 1,0,0\n bit 6: 0,1,0 -> 0,1,0\n bit 7: 1,0,1 -> 0,1,0\nDeduce rule: xor 0x55.\nApply to 11001000:\n result = 10011101\nFinal: \\boxed{10011101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n qltflrwe khnnet qlbd achww\n### Reasoning:\n<|cot_start|>Cipher text: qltflrwe khnnet qlbd achww\nTry each candidate Wonderland word against each ciphertext word:\n cipher='qltflrwe' candidate='alice' length-match=False\n cipher='qltflrwe' candidate='rabbit' length-match=False\n cipher='qltflrwe' candidate='hatter' length-match=False\n cipher='qltflrwe' candidate='cheshire' length-match=True\n cipher='qltflrwe' candidate='queen' length-match=False\n cipher='qltflrwe' candidate='tea' length-match=False\n cipher='qltflrwe' candidate='cake' length-match=False\n cipher='qltflrwe' candidate='garden' length-match=False\n cipher='qltflrwe' candidate='mushroom' length-match=True\n cipher='qltflrwe' candidate='card' length-match=False\n cipher='qltflrwe' candidate='card' length-match=False\n cipher='qltflrwe' candidate='wonderland' length-match=False\n cipher='qltflrwe' candidate='white' length-match=False\n cipher='qltflrwe' candidate='down' length-match=False\n cipher='qltflrwe' candidate='smile' length-match=False\n cipher='qltflrwe' candidate='smiled' length-match=False\n cipher='qltflrwe' candidate='looking' length-match=False\n cipher='qltflrwe' candidate='glass' length-match=False\n cipher='qltflrwe' candidate='march' length-match=False\n cipher='qltflrwe' candidate='hare' length-match=False\n cipher='qltflrwe' candidate='dormouse' length-match=True <- assign\n cipher='khnnet' candidate='alice' length-match=False\n cipher='khnnet' candidate='rabbit' length-match=True\n cipher='khnnet' candidate='hatter' length-match=True <- assign\n cipher='khnnet' candidate='cheshire' length-match=False\n cipher='khnnet' candidate='queen' length-match=False\n cipher='khnnet' candidate='tea' length-match=False\n cipher='khnnet' candidate='cake' length-match=False\n cipher='khnnet' candidate='garden' length-match=True\n cipher='khnnet' candidate='mushroom' length-match=False\n cipher='khnnet' candidate='card' length-match=False\n cipher='khnnet' candidate='card' length-match=False\n cipher='khnnet' candidate='wonderland' length-match=False\n cipher='khnnet' candidate='white' length-match=False\n cipher='khnnet' candidate='down' length-match=False\n cipher='khnnet' candidate='smile' length-match=False\n cipher='khnnet' candidate='smiled' length-match=True\n cipher='khnnet' candidate='looking' length-match=False\n cipher='khnnet' candidate='glass' length-match=False\n cipher='khnnet' candidate='march' length-match=False\n cipher='khnnet' candidate='hare' length-match=False\n cipher='khnnet' candidate='dormouse' length-match=False\n cipher='qlbd' candidate='alice' length-match=False\n cipher='qlbd' candidate='rabbit' length-match=False\n cipher='qlbd' candidate='hatter' length-match=False\n cipher='qlbd' candidate='cheshire' length-match=False\n cipher='qlbd' candidate='queen' length-match=False\n cipher='qlbd' candidate='tea' length-match=False\n cipher='qlbd' candidate='cake' length-match=True\n cipher='qlbd' candidate='garden' length-match=False\n cipher='qlbd' candidate='mushroom' length-match=False\n cipher='qlbd' candidate='card' length-match=True\n cipher='qlbd' candidate='card' length-match=True\n cipher='qlbd' candidate='wonderland' length-match=False\n cipher='qlbd' candidate='white' length-match=False\n cipher='qlbd' candidate='down' length-match=True <- assign\n cipher='qlbd' candidate='smile' length-match=False\n cipher='qlbd' candidate='smiled' length-match=False\n cipher='qlbd' candidate='looking' length-match=False\n cipher='qlbd' candidate='glass' length-match=False\n cipher='qlbd' candidate='march' length-match=False\n cipher='qlbd' candidate='hare' length-match=True\n cipher='qlbd' candidate='dormouse' length-match=False\n cipher='achww' candidate='alice' length-match=True\n cipher='achww' candidate='rabbit' length-match=False\n cipher='achww' candidate='hatter' length-match=False\n cipher='achww' candidate='cheshire' length-match=False\n cipher='achww' candidate='queen' length-match=True\n cipher='achww' candidate='tea' length-match=False\n cipher='achww' candidate='cake' length-match=False\n cipher='achww' candidate='garden' length-match=False\n cipher='achww' candidate='mushroom' length-match=False\n cipher='achww' candidate='card' length-match=False\n cipher='achww' candidate='card' length-match=False\n cipher='achww' candidate='wonderland' length-match=False\n cipher='achww' candidate='white' length-match=True\n cipher='achww' candidate='down' length-match=False\n cipher='achww' candidate='smile' length-match=True\n cipher='achww' candidate='smiled' length-match=False\n cipher='achww' candidate='looking' length-match=False\n cipher='achww' candidate='glass' length-match=True <- assign\n cipher='achww' candidate='march' length-match=True\n cipher='achww' candidate='hare' length-match=False\n cipher='achww' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n dormouse hatter down glass\nFinal: \\boxed{dormouse hatter down glass}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 50,95 -> 9550\n 85,39 -> 3985\n 25,64 -> 6425\nApply to: 63,95\n### Reasoning:\n<|cot_start|>Examples:\n 50,95 -> 9550\n 85,39 -> 3985\n 25,64 -> 6425\nCheck both candidate forms:\n concat(50,95)=5095 rev_concat(50,95)=9550 target=9550 rev_concat\n concat(85,39)=8539 rev_concat(85,39)=3985 target=3985 rev_concat\n concat(25,64)=2564 rev_concat(25,64)=6425 target=6425 rev_concat\nConclude operator: rev_concat.\nApply to (63, 95): answer = 9563\nFinal: \\boxed{9563}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n I = 1 -> 40 + 1 = 41\n I = 1 -> 41 + 1 = 42\n I = 1 -> 42 + 1 = 43\nFinal: \\boxed{43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 11 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 11 litres = 11 * 1000 millilitres.\nCompute step by step:\n 1 * 10^1 * 1000 = 10000\n running total = 10000\n 1 * 10^0 * 1000 = 1000\n running total = 11000\nFinal: \\boxed{11000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n rykkea gyzu vmrsmjhu gyrv\n### Reasoning:\n<|cot_start|>Cipher text: rykkea gyzu vmrsmjhu gyrv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='rykkea' candidate='alice' length-match=False\n cipher='rykkea' candidate='rabbit' length-match=True <- assign\n cipher='rykkea' candidate='hatter' length-match=True\n cipher='rykkea' candidate='cheshire' length-match=False\n cipher='rykkea' candidate='queen' length-match=False\n cipher='rykkea' candidate='tea' length-match=False\n cipher='rykkea' candidate='cake' length-match=False\n cipher='rykkea' candidate='garden' length-match=True\n cipher='rykkea' candidate='mushroom' length-match=False\n cipher='rykkea' candidate='card' length-match=False\n cipher='rykkea' candidate='card' length-match=False\n cipher='rykkea' candidate='wonderland' length-match=False\n cipher='rykkea' candidate='white' length-match=False\n cipher='rykkea' candidate='down' length-match=False\n cipher='rykkea' candidate='smile' length-match=False\n cipher='rykkea' candidate='smiled' length-match=True\n cipher='rykkea' candidate='looking' length-match=False\n cipher='rykkea' candidate='glass' length-match=False\n cipher='rykkea' candidate='march' length-match=False\n cipher='rykkea' candidate='hare' length-match=False\n cipher='rykkea' candidate='dormouse' length-match=False\n cipher='gyzu' candidate='alice' length-match=False\n cipher='gyzu' candidate='rabbit' length-match=False\n cipher='gyzu' candidate='hatter' length-match=False\n cipher='gyzu' candidate='cheshire' length-match=False\n cipher='gyzu' candidate='queen' length-match=False\n cipher='gyzu' candidate='tea' length-match=False\n cipher='gyzu' candidate='cake' length-match=True <- assign\n cipher='gyzu' candidate='garden' length-match=False\n cipher='gyzu' candidate='mushroom' length-match=False\n cipher='gyzu' candidate='card' length-match=True\n cipher='gyzu' candidate='card' length-match=True\n cipher='gyzu' candidate='wonderland' length-match=False\n cipher='gyzu' candidate='white' length-match=False\n cipher='gyzu' candidate='down' length-match=True\n cipher='gyzu' candidate='smile' length-match=False\n cipher='gyzu' candidate='smiled' length-match=False\n cipher='gyzu' candidate='looking' length-match=False\n cipher='gyzu' candidate='glass' length-match=False\n cipher='gyzu' candidate='march' length-match=False\n cipher='gyzu' candidate='hare' length-match=True\n cipher='gyzu' candidate='dormouse' length-match=False\n cipher='vmrsmjhu' candidate='alice' length-match=False\n cipher='vmrsmjhu' candidate='rabbit' length-match=False\n cipher='vmrsmjhu' candidate='hatter' length-match=False\n cipher='vmrsmjhu' candidate='cheshire' length-match=True\n cipher='vmrsmjhu' candidate='queen' length-match=False\n cipher='vmrsmjhu' candidate='tea' length-match=False\n cipher='vmrsmjhu' candidate='cake' length-match=False\n cipher='vmrsmjhu' candidate='garden' length-match=False\n cipher='vmrsmjhu' candidate='mushroom' length-match=True\n cipher='vmrsmjhu' candidate='card' length-match=False\n cipher='vmrsmjhu' candidate='card' length-match=False\n cipher='vmrsmjhu' candidate='wonderland' length-match=False\n cipher='vmrsmjhu' candidate='white' length-match=False\n cipher='vmrsmjhu' candidate='down' length-match=False\n cipher='vmrsmjhu' candidate='smile' length-match=False\n cipher='vmrsmjhu' candidate='smiled' length-match=False\n cipher='vmrsmjhu' candidate='looking' length-match=False\n cipher='vmrsmjhu' candidate='glass' length-match=False\n cipher='vmrsmjhu' candidate='march' length-match=False\n cipher='vmrsmjhu' candidate='hare' length-match=False\n cipher='vmrsmjhu' candidate='dormouse' length-match=True <- assign\n cipher='gyrv' candidate='alice' length-match=False\n cipher='gyrv' candidate='rabbit' length-match=False\n cipher='gyrv' candidate='hatter' length-match=False\n cipher='gyrv' candidate='cheshire' length-match=False\n cipher='gyrv' candidate='queen' length-match=False\n cipher='gyrv' candidate='tea' length-match=False\n cipher='gyrv' candidate='cake' length-match=True\n cipher='gyrv' candidate='garden' length-match=False\n cipher='gyrv' candidate='mushroom' length-match=False\n cipher='gyrv' candidate='card' length-match=True <- assign\n cipher='gyrv' candidate='card' length-match=True <- assign\n cipher='gyrv' candidate='wonderland' length-match=False\n cipher='gyrv' candidate='white' length-match=False\n cipher='gyrv' candidate='down' length-match=True\n cipher='gyrv' candidate='smile' length-match=False\n cipher='gyrv' candidate='smiled' length-match=False\n cipher='gyrv' candidate='looking' length-match=False\n cipher='gyrv' candidate='glass' length-match=False\n cipher='gyrv' candidate='march' length-match=False\n cipher='gyrv' candidate='hare' length-match=True\n cipher='gyrv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n rabbit cake dormouse card\nFinal: \\boxed{rabbit cake dormouse card}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01010111 -> 10101011\n 11100110 -> 01110011\n 11001100 -> 01100110\nApply to: 00000111\n### Reasoning:\n<|cot_start|>Given examples:\n 01010111 -> 10101011\n 11100110 -> 01110011\n 11001100 -> 01100110\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 1,0,0\n bit 1: 1,1,1 -> 0,1,1\n bit 2: 0,1,0 -> 1,1,1\n bit 3: 1,0,0 -> 0,1,0\n bit 4: 0,0,1 -> 1,0,0\n bit 5: 1,1,1 -> 0,0,1\n bit 6: 1,1,0 -> 1,1,1\n bit 7: 1,0,0 -> 1,1,0\nDeduce rule: rotate right 1.\nApply to 00000111:\n result = 10000011\nFinal: \\boxed{10000011}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n IV = 4 -> 10 + 4 = 14\nFinal: \\boxed{14}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01000010 -> 01000010\n 00101001 -> 10010100\n 00010001 -> 10001000\nApply to: 01111111\n### Reasoning:\n<|cot_start|>Given examples:\n 01000010 -> 01000010\n 00101001 -> 10010100\n 00010001 -> 10001000\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,1,1\n bit 1: 1,0,0 -> 1,0,0\n bit 2: 0,1,0 -> 0,0,0\n bit 3: 0,0,1 -> 0,1,0\n bit 4: 0,1,0 -> 0,0,1\n bit 5: 0,0,0 -> 0,1,0\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 0,1,1 -> 0,0,0\nDeduce rule: reverse bits.\nApply to 01111111:\n result = 11111110\nFinal: \\boxed{11111110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 52,64 -> 12\n 85,25 -> 60\n 52,18 -> 34\nApply to: 71,87\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 52,64: '+' gives 116; target=12 no\n 52,64: '-' gives 12; target=12 MATCH\n 52,64: '*' gives 3328; target=12 no\n 52,64: 'concat' gives 5264; target=12 no\n 52,64: 'rev_concat' gives 6452; target=12 no\n 52,64: 'max*min+sum' gives 3444; target=12 no\n 52,64: 'digitsum2' gives 289; target=12 no\n 85,25: '+' gives 110; target=60 no\n 85,25: '-' gives 60; target=60 MATCH\n 85,25: '*' gives 2125; target=60 no\n 85,25: 'concat' gives 8525; target=60 no\n 85,25: 'rev_concat' gives 2585; target=60 no\n 85,25: 'max*min+sum' gives 2235; target=60 no\n 85,25: 'digitsum2' gives 400; target=60 no\n 52,18: '+' gives 70; target=34 no\n 52,18: '-' gives 34; target=34 MATCH\n 52,18: '*' gives 936; target=34 no\n 52,18: 'concat' gives 5218; target=34 no\n 52,18: 'rev_concat' gives 1852; target=34 no\n 52,18: 'max*min+sum' gives 1006; target=34 no\n 52,18: 'digitsum2' gives 256; target=34 no\nThe only operator consistent with all examples is '-'.\nApply to (71, 87):\n result = 16\nFinal: \\boxed{16}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n IV = 4 -> 30 + 4 = 34\nFinal: \\boxed{34}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 40,31 -> 4031\n 52,64 -> 5264\n 27,74 -> 2774\nApply to: 47,72\n### Reasoning:\n<|cot_start|>Examples:\n 40,31 -> 4031\n 52,64 -> 5264\n 27,74 -> 2774\nCheck both candidate forms:\n concat(40,31)=4031 rev_concat(40,31)=3140 target=4031 concat\n concat(52,64)=5264 rev_concat(52,64)=6452 target=5264 concat\n concat(27,74)=2774 rev_concat(27,74)=7427 target=2774 concat\nConclude operator: concat.\nApply to (47, 72): answer = 4772\nFinal: \\boxed{4772}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 49,67 -> 6749\n 37,60 -> 6037\n 38,47 -> 4738\nApply to: 84,50\n### Reasoning:\n<|cot_start|>Examples:\n 49,67 -> 6749\n 37,60 -> 6037\n 38,47 -> 4738\nCheck both candidate forms:\n concat(49,67)=4967 rev_concat(49,67)=6749 target=6749 rev_concat\n concat(37,60)=3760 rev_concat(37,60)=6037 target=6037 rev_concat\n concat(38,47)=3847 rev_concat(38,47)=4738 target=4738 rev_concat\nConclude operator: rev_concat.\nApply to (84, 50): answer = 5084\nFinal: \\boxed{5084}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11100110 -> 00000110\n 10101011 -> 00001011\n 10110001 -> 00000001\nApply to: 10111010\n### Reasoning:\n<|cot_start|>Given examples:\n 11100110 -> 00000110\n 10101011 -> 00001011\n 10110001 -> 00000001\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,0,0\n bit 1: 1,0,0 -> 0,0,0\n bit 2: 1,1,1 -> 0,0,0\n bit 3: 0,0,1 -> 0,0,0\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 1,1,0 -> 1,1,0\n bit 7: 0,1,1 -> 0,1,1\nDeduce rule: and 0x0F.\nApply to 10111010:\n result = 00001010\nFinal: \\boxed{00001010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 33,94 -> 9433\n 72,25 -> 2572\n 71,41 -> 4171\nApply to: 65,33\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 33,94: '+' gives 127; target=9433 no\n 33,94: '-' gives 61; target=9433 no\n 33,94: '*' gives 3102; target=9433 no\n 33,94: 'concat' gives 3394; target=9433 no\n 33,94: 'rev_concat' gives 9433; target=9433 MATCH\n 33,94: 'max*min+sum' gives 3229; target=9433 no\n 33,94: 'digitsum2' gives 361; target=9433 no\n 72,25: '+' gives 97; target=2572 no\n 72,25: '-' gives 47; target=2572 no\n 72,25: '*' gives 1800; target=2572 no\n 72,25: 'concat' gives 7225; target=2572 no\n 72,25: 'rev_concat' gives 2572; target=2572 MATCH\n 72,25: 'max*min+sum' gives 1897; target=2572 no\n 72,25: 'digitsum2' gives 256; target=2572 no\n 71,41: '+' gives 112; target=4171 no\n 71,41: '-' gives 30; target=4171 no\n 71,41: '*' gives 2911; target=4171 no\n 71,41: 'concat' gives 7141; target=4171 no\n 71,41: 'rev_concat' gives 4171; target=4171 MATCH\n 71,41: 'max*min+sum' gives 3023; target=4171 no\n 71,41: 'digitsum2' gives 169; target=4171 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (65, 33):\n result = 3365\nFinal: \\boxed{3365}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11010001 -> 10001011\n 10111010 -> 01011101\n 00110110 -> 01101100\nApply to: 00101100\n### Reasoning:\n<|cot_start|>Given examples:\n 11010001 -> 10001011\n 10111010 -> 01011101\n 00110110 -> 01101100\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 1,0,0\n bit 1: 1,0,0 -> 0,1,1\n bit 2: 0,1,1 -> 0,0,1\n bit 3: 1,1,1 -> 0,1,0\n bit 4: 0,1,0 -> 1,1,1\n bit 5: 0,0,1 -> 0,1,1\n bit 6: 0,1,1 -> 1,0,0\n bit 7: 1,0,0 -> 1,1,0\nDeduce rule: reverse bits.\nApply to 00101100:\n result = 00110100\nFinal: \\boxed{00110100}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 42,35 -> 77\n 75,48 -> 123\n 20,23 -> 43\nApply to: 74,64\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 42,35: '+' gives 77; target=77 MATCH\n 42,35: '-' gives 7; target=77 no\n 42,35: '*' gives 1470; target=77 no\n 42,35: 'concat' gives 4235; target=77 no\n 42,35: 'rev_concat' gives 3542; target=77 no\n 42,35: 'max*min+sum' gives 1547; target=77 no\n 42,35: 'digitsum2' gives 196; target=77 no\n 75,48: '+' gives 123; target=123 MATCH\n 75,48: '-' gives 27; target=123 no\n 75,48: '*' gives 3600; target=123 no\n 75,48: 'concat' gives 7548; target=123 no\n 75,48: 'rev_concat' gives 4875; target=123 no\n 75,48: 'max*min+sum' gives 3723; target=123 no\n 75,48: 'digitsum2' gives 576; target=123 no\n 20,23: '+' gives 43; target=43 MATCH\n 20,23: '-' gives 3; target=43 no\n 20,23: '*' gives 460; target=43 no\n 20,23: 'concat' gives 2023; target=43 no\n 20,23: 'rev_concat' gives 2320; target=43 no\n 20,23: 'max*min+sum' gives 503; target=43 no\n 20,23: 'digitsum2' gives 49; target=43 no\nThe only operator consistent with all examples is '+'.\nApply to (74, 64):\n result = 138\nFinal: \\boxed{138}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 50,66 -> 5066\n 98,29 -> 9829\n 72,42 -> 7242\nApply to: 72,53\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 50,66: '+' gives 116; target=5066 no\n 50,66: '-' gives 16; target=5066 no\n 50,66: '*' gives 3300; target=5066 no\n 50,66: 'concat' gives 5066; target=5066 MATCH\n 50,66: 'rev_concat' gives 6650; target=5066 no\n 50,66: 'max*min+sum' gives 3416; target=5066 no\n 50,66: 'digitsum2' gives 289; target=5066 no\n 98,29: '+' gives 127; target=9829 no\n 98,29: '-' gives 69; target=9829 no\n 98,29: '*' gives 2842; target=9829 no\n 98,29: 'concat' gives 9829; target=9829 MATCH\n 98,29: 'rev_concat' gives 2998; target=9829 no\n 98,29: 'max*min+sum' gives 2969; target=9829 no\n 98,29: 'digitsum2' gives 784; target=9829 no\n 72,42: '+' gives 114; target=7242 no\n 72,42: '-' gives 30; target=7242 no\n 72,42: '*' gives 3024; target=7242 no\n 72,42: 'concat' gives 7242; target=7242 MATCH\n 72,42: 'rev_concat' gives 4272; target=7242 no\n 72,42: 'max*min+sum' gives 3138; target=7242 no\n 72,42: 'digitsum2' gives 225; target=7242 no\nThe only operator consistent with all examples is 'concat'.\nApply to (72, 53):\n result = 7253\nFinal: \\boxed{7253}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 27 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 27 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 7 * 10^0 * 981 = 6867\n running total = 26487\nSo F = 26487 centiNewtons = 264.87 N.\nFinal: \\boxed{264.87}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 28,64 -> 2864\n 36,64 -> 3664\n 90,34 -> 9034\nApply to: 44,19\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 28,64: '+' gives 92; target=2864 no\n 28,64: '-' gives 36; target=2864 no\n 28,64: '*' gives 1792; target=2864 no\n 28,64: 'concat' gives 2864; target=2864 MATCH\n 28,64: 'rev_concat' gives 6428; target=2864 no\n 28,64: 'max*min+sum' gives 1884; target=2864 no\n 28,64: 'digitsum2' gives 400; target=2864 no\n 36,64: '+' gives 100; target=3664 no\n 36,64: '-' gives 28; target=3664 no\n 36,64: '*' gives 2304; target=3664 no\n 36,64: 'concat' gives 3664; target=3664 MATCH\n 36,64: 'rev_concat' gives 6436; target=3664 no\n 36,64: 'max*min+sum' gives 2404; target=3664 no\n 36,64: 'digitsum2' gives 361; target=3664 no\n 90,34: '+' gives 124; target=9034 no\n 90,34: '-' gives 56; target=9034 no\n 90,34: '*' gives 3060; target=9034 no\n 90,34: 'concat' gives 9034; target=9034 MATCH\n 90,34: 'rev_concat' gives 3490; target=9034 no\n 90,34: 'max*min+sum' gives 3184; target=9034 no\n 90,34: 'digitsum2' gives 256; target=9034 no\nThe only operator consistent with all examples is 'concat'.\nApply to (44, 19):\n result = 4419\nFinal: \\boxed{4419}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 25 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 25 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 5 * 10^0 * 981 = 4905\n running total = 24525\nSo F = 24525 centiNewtons = 245.25 N.\nFinal: \\boxed{245.25}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11001100 -> 01100110\n 11011100 -> 01110110\n 11001010 -> 01100000\nApply to: 10011010\n### Reasoning:\n<|cot_start|>Given examples:\n 11001100 -> 01100110\n 11011100 -> 01110110\n 11001010 -> 01100000\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,0,0\n bit 1: 1,1,1 -> 1,1,1\n bit 2: 0,0,0 -> 1,1,1\n bit 3: 0,1,0 -> 0,1,0\n bit 4: 1,1,1 -> 0,0,0\n bit 5: 1,1,0 -> 1,1,0\n bit 6: 0,0,1 -> 1,1,0\n bit 7: 0,0,0 -> 0,0,0\nDeduce rule: xor 0xAA.\nApply to 10011010:\n result = 00110000\nFinal: \\boxed{00110000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 27,86 -> 2786\n 52,82 -> 5282\n 31,12 -> 3112\nApply to: 15,78\n### Reasoning:\n<|cot_start|>Examples:\n 27,86 -> 2786\n 52,82 -> 5282\n 31,12 -> 3112\nCheck both candidate forms:\n concat(27,86)=2786 rev_concat(27,86)=8627 target=2786 concat\n concat(52,82)=5282 rev_concat(52,82)=8252 target=5282 concat\n concat(31,12)=3112 rev_concat(31,12)=1231 target=3112 concat\nConclude operator: concat.\nApply to (15, 78): answer = 1578\nFinal: \\boxed{1578}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LVIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n V = 5 -> 50 + 5 = 55\n I = 1 -> 55 + 1 = 56\n I = 1 -> 56 + 1 = 57\n I = 1 -> 57 + 1 = 58\nFinal: \\boxed{58}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 91,82 -> 8291\n 66,79 -> 7966\n 50,86 -> 8650\nApply to: 34,81\n### Reasoning:\n<|cot_start|>Examples:\n 91,82 -> 8291\n 66,79 -> 7966\n 50,86 -> 8650\nCheck both candidate forms:\n concat(91,82)=9182 rev_concat(91,82)=8291 target=8291 rev_concat\n concat(66,79)=6679 rev_concat(66,79)=7966 target=7966 rev_concat\n concat(50,86)=5086 rev_concat(50,86)=8650 target=8650 rev_concat\nConclude operator: rev_concat.\nApply to (34, 81): answer = 8134\nFinal: \\boxed{8134}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 34 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 34 litres = 34 * 1000 millilitres.\nCompute step by step:\n 3 * 10^1 * 1000 = 30000\n running total = 30000\n 4 * 10^0 * 1000 = 4000\n running total = 34000\nFinal: \\boxed{34000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 24 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 24 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 4 * 10^0 * 981 = 3924\n running total = 23544\nSo F = 23544 centiNewtons = 235.44 N.\nFinal: \\boxed{235.44}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n hggctvu zafb ewthnb fakkts\n### Reasoning:\n<|cot_start|>Cipher text: hggctvu zafb ewthnb fakkts\nTry each candidate Wonderland word against each ciphertext word:\n cipher='hggctvu' candidate='alice' length-match=False\n cipher='hggctvu' candidate='rabbit' length-match=False\n cipher='hggctvu' candidate='hatter' length-match=False\n cipher='hggctvu' candidate='cheshire' length-match=False\n cipher='hggctvu' candidate='queen' length-match=False\n cipher='hggctvu' candidate='tea' length-match=False\n cipher='hggctvu' candidate='cake' length-match=False\n cipher='hggctvu' candidate='garden' length-match=False\n cipher='hggctvu' candidate='mushroom' length-match=False\n cipher='hggctvu' candidate='card' length-match=False\n cipher='hggctvu' candidate='card' length-match=False\n cipher='hggctvu' candidate='wonderland' length-match=False\n cipher='hggctvu' candidate='white' length-match=False\n cipher='hggctvu' candidate='down' length-match=False\n cipher='hggctvu' candidate='smile' length-match=False\n cipher='hggctvu' candidate='smiled' length-match=False\n cipher='hggctvu' candidate='looking' length-match=True <- assign\n cipher='hggctvu' candidate='glass' length-match=False\n cipher='hggctvu' candidate='march' length-match=False\n cipher='hggctvu' candidate='hare' length-match=False\n cipher='hggctvu' candidate='dormouse' length-match=False\n cipher='zafb' candidate='alice' length-match=False\n cipher='zafb' candidate='rabbit' length-match=False\n cipher='zafb' candidate='hatter' length-match=False\n cipher='zafb' candidate='cheshire' length-match=False\n cipher='zafb' candidate='queen' length-match=False\n cipher='zafb' candidate='tea' length-match=False\n cipher='zafb' candidate='cake' length-match=True\n cipher='zafb' candidate='garden' length-match=False\n cipher='zafb' candidate='mushroom' length-match=False\n cipher='zafb' candidate='card' length-match=True <- assign\n cipher='zafb' candidate='card' length-match=True <- assign\n cipher='zafb' candidate='wonderland' length-match=False\n cipher='zafb' candidate='white' length-match=False\n cipher='zafb' candidate='down' length-match=True\n cipher='zafb' candidate='smile' length-match=False\n cipher='zafb' candidate='smiled' length-match=False\n cipher='zafb' candidate='looking' length-match=False\n cipher='zafb' candidate='glass' length-match=False\n cipher='zafb' candidate='march' length-match=False\n cipher='zafb' candidate='hare' length-match=True\n cipher='zafb' candidate='dormouse' length-match=False\n cipher='ewthnb' candidate='alice' length-match=False\n cipher='ewthnb' candidate='rabbit' length-match=True\n cipher='ewthnb' candidate='hatter' length-match=True\n cipher='ewthnb' candidate='cheshire' length-match=False\n cipher='ewthnb' candidate='queen' length-match=False\n cipher='ewthnb' candidate='tea' length-match=False\n cipher='ewthnb' candidate='cake' length-match=False\n cipher='ewthnb' candidate='garden' length-match=True\n cipher='ewthnb' candidate='mushroom' length-match=False\n cipher='ewthnb' candidate='card' length-match=False\n cipher='ewthnb' candidate='card' length-match=False\n cipher='ewthnb' candidate='wonderland' length-match=False\n cipher='ewthnb' candidate='white' length-match=False\n cipher='ewthnb' candidate='down' length-match=False\n cipher='ewthnb' candidate='smile' length-match=False\n cipher='ewthnb' candidate='smiled' length-match=True <- assign\n cipher='ewthnb' candidate='looking' length-match=False\n cipher='ewthnb' candidate='glass' length-match=False\n cipher='ewthnb' candidate='march' length-match=False\n cipher='ewthnb' candidate='hare' length-match=False\n cipher='ewthnb' candidate='dormouse' length-match=False\n cipher='fakkts' candidate='alice' length-match=False\n cipher='fakkts' candidate='rabbit' length-match=True <- assign\n cipher='fakkts' candidate='hatter' length-match=True\n cipher='fakkts' candidate='cheshire' length-match=False\n cipher='fakkts' candidate='queen' length-match=False\n cipher='fakkts' candidate='tea' length-match=False\n cipher='fakkts' candidate='cake' length-match=False\n cipher='fakkts' candidate='garden' length-match=True\n cipher='fakkts' candidate='mushroom' length-match=False\n cipher='fakkts' candidate='card' length-match=False\n cipher='fakkts' candidate='card' length-match=False\n cipher='fakkts' candidate='wonderland' length-match=False\n cipher='fakkts' candidate='white' length-match=False\n cipher='fakkts' candidate='down' length-match=False\n cipher='fakkts' candidate='smile' length-match=False\n cipher='fakkts' candidate='smiled' length-match=True\n cipher='fakkts' candidate='looking' length-match=False\n cipher='fakkts' candidate='glass' length-match=False\n cipher='fakkts' candidate='march' length-match=False\n cipher='fakkts' candidate='hare' length-match=False\n cipher='fakkts' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking card smiled rabbit\nFinal: \\boxed{looking card smiled rabbit}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 54 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 54 litres = 54 * 1000 millilitres.\nCompute step by step:\n 5 * 10^1 * 1000 = 50000\n running total = 50000\n 4 * 10^0 * 1000 = 4000\n running total = 54000\nFinal: \\boxed{54000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10110011 -> 00011001\n 10100101 -> 00001111\n 01100110 -> 11001100\nApply to: 00110000\n### Reasoning:\n<|cot_start|>Given examples:\n 10110011 -> 00011001\n 10100101 -> 00001111\n 01100110 -> 11001100\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 0,0,1\n bit 1: 0,0,1 -> 0,0,1\n bit 2: 1,1,1 -> 0,0,0\n bit 3: 1,0,0 -> 1,0,0\n bit 4: 0,0,0 -> 1,1,1\n bit 5: 0,1,1 -> 0,1,1\n bit 6: 1,0,1 -> 0,1,0\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: xor 0xAA.\nApply to 00110000:\n result = 10011010\nFinal: \\boxed{10011010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n jqnokbbj potwh zohnotkh pbgihkrxgi\n### Reasoning:\n<|cot_start|>Cipher text: jqnokbbj potwh zohnotkh pbgihkrxgi\nTry each candidate Wonderland word against each ciphertext word:\n cipher='jqnokbbj' candidate='alice' length-match=False\n cipher='jqnokbbj' candidate='rabbit' length-match=False\n cipher='jqnokbbj' candidate='hatter' length-match=False\n cipher='jqnokbbj' candidate='cheshire' length-match=True\n cipher='jqnokbbj' candidate='queen' length-match=False\n cipher='jqnokbbj' candidate='tea' length-match=False\n cipher='jqnokbbj' candidate='cake' length-match=False\n cipher='jqnokbbj' candidate='garden' length-match=False\n cipher='jqnokbbj' candidate='mushroom' length-match=True <- assign\n cipher='jqnokbbj' candidate='card' length-match=False\n cipher='jqnokbbj' candidate='card' length-match=False\n cipher='jqnokbbj' candidate='wonderland' length-match=False\n cipher='jqnokbbj' candidate='white' length-match=False\n cipher='jqnokbbj' candidate='down' length-match=False\n cipher='jqnokbbj' candidate='smile' length-match=False\n cipher='jqnokbbj' candidate='smiled' length-match=False\n cipher='jqnokbbj' candidate='looking' length-match=False\n cipher='jqnokbbj' candidate='glass' length-match=False\n cipher='jqnokbbj' candidate='march' length-match=False\n cipher='jqnokbbj' candidate='hare' length-match=False\n cipher='jqnokbbj' candidate='dormouse' length-match=True\n cipher='potwh' candidate='alice' length-match=True\n cipher='potwh' candidate='rabbit' length-match=False\n cipher='potwh' candidate='hatter' length-match=False\n cipher='potwh' candidate='cheshire' length-match=False\n cipher='potwh' candidate='queen' length-match=True\n cipher='potwh' candidate='tea' length-match=False\n cipher='potwh' candidate='cake' length-match=False\n cipher='potwh' candidate='garden' length-match=False\n cipher='potwh' candidate='mushroom' length-match=False\n cipher='potwh' candidate='card' length-match=False\n cipher='potwh' candidate='card' length-match=False\n cipher='potwh' candidate='wonderland' length-match=False\n cipher='potwh' candidate='white' length-match=True <- assign\n cipher='potwh' candidate='down' length-match=False\n cipher='potwh' candidate='smile' length-match=True\n cipher='potwh' candidate='smiled' length-match=False\n cipher='potwh' candidate='looking' length-match=False\n cipher='potwh' candidate='glass' length-match=True\n cipher='potwh' candidate='march' length-match=True\n cipher='potwh' candidate='hare' length-match=False\n cipher='potwh' candidate='dormouse' length-match=False\n cipher='zohnotkh' candidate='alice' length-match=False\n cipher='zohnotkh' candidate='rabbit' length-match=False\n cipher='zohnotkh' candidate='hatter' length-match=False\n cipher='zohnotkh' candidate='cheshire' length-match=True <- assign\n cipher='zohnotkh' candidate='queen' length-match=False\n cipher='zohnotkh' candidate='tea' length-match=False\n cipher='zohnotkh' candidate='cake' length-match=False\n cipher='zohnotkh' candidate='garden' length-match=False\n cipher='zohnotkh' candidate='mushroom' length-match=True\n cipher='zohnotkh' candidate='card' length-match=False\n cipher='zohnotkh' candidate='card' length-match=False\n cipher='zohnotkh' candidate='wonderland' length-match=False\n cipher='zohnotkh' candidate='white' length-match=False\n cipher='zohnotkh' candidate='down' length-match=False\n cipher='zohnotkh' candidate='smile' length-match=False\n cipher='zohnotkh' candidate='smiled' length-match=False\n cipher='zohnotkh' candidate='looking' length-match=False\n cipher='zohnotkh' candidate='glass' length-match=False\n cipher='zohnotkh' candidate='march' length-match=False\n cipher='zohnotkh' candidate='hare' length-match=False\n cipher='zohnotkh' candidate='dormouse' length-match=True\n cipher='pbgihkrxgi' candidate='alice' length-match=False\n cipher='pbgihkrxgi' candidate='rabbit' length-match=False\n cipher='pbgihkrxgi' candidate='hatter' length-match=False\n cipher='pbgihkrxgi' candidate='cheshire' length-match=False\n cipher='pbgihkrxgi' candidate='queen' length-match=False\n cipher='pbgihkrxgi' candidate='tea' length-match=False\n cipher='pbgihkrxgi' candidate='cake' length-match=False\n cipher='pbgihkrxgi' candidate='garden' length-match=False\n cipher='pbgihkrxgi' candidate='mushroom' length-match=False\n cipher='pbgihkrxgi' candidate='card' length-match=False\n cipher='pbgihkrxgi' candidate='card' length-match=False\n cipher='pbgihkrxgi' candidate='wonderland' length-match=True <- assign\n cipher='pbgihkrxgi' candidate='white' length-match=False\n cipher='pbgihkrxgi' candidate='down' length-match=False\n cipher='pbgihkrxgi' candidate='smile' length-match=False\n cipher='pbgihkrxgi' candidate='smiled' length-match=False\n cipher='pbgihkrxgi' candidate='looking' length-match=False\n cipher='pbgihkrxgi' candidate='glass' length-match=False\n cipher='pbgihkrxgi' candidate='march' length-match=False\n cipher='pbgihkrxgi' candidate='hare' length-match=False\n cipher='pbgihkrxgi' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n mushroom white cheshire wonderland\nFinal: \\boxed{mushroom white cheshire wonderland}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 87 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 87 kilometres = 87 * 1000 metres.\nCompute step by step:\n 8 * 10^1 * 1000 = 80000\n running total = 80000\n 7 * 10^0 * 1000 = 7000\n running total = 87000\nFinal: \\boxed{87000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 42,79 -> 7942\n 54,29 -> 2954\n 15,11 -> 1115\nApply to: 26,59\n### Reasoning:\n<|cot_start|>Examples:\n 42,79 -> 7942\n 54,29 -> 2954\n 15,11 -> 1115\nCheck both candidate forms:\n concat(42,79)=4279 rev_concat(42,79)=7942 target=7942 rev_concat\n concat(54,29)=5429 rev_concat(54,29)=2954 target=2954 rev_concat\n concat(15,11)=1511 rev_concat(15,11)=1115 target=1115 rev_concat\nConclude operator: rev_concat.\nApply to (26, 59): answer = 5926\nFinal: \\boxed{5926}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 76,16 -> 1676\n 68,83 -> 8368\n 82,41 -> 4182\nApply to: 60,43\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 76,16: '+' gives 92; target=1676 no\n 76,16: '-' gives 60; target=1676 no\n 76,16: '*' gives 1216; target=1676 no\n 76,16: 'concat' gives 7616; target=1676 no\n 76,16: 'rev_concat' gives 1676; target=1676 MATCH\n 76,16: 'max*min+sum' gives 1308; target=1676 no\n 76,16: 'digitsum2' gives 400; target=1676 no\n 68,83: '+' gives 151; target=8368 no\n 68,83: '-' gives 15; target=8368 no\n 68,83: '*' gives 5644; target=8368 no\n 68,83: 'concat' gives 6883; target=8368 no\n 68,83: 'rev_concat' gives 8368; target=8368 MATCH\n 68,83: 'max*min+sum' gives 5795; target=8368 no\n 68,83: 'digitsum2' gives 625; target=8368 no\n 82,41: '+' gives 123; target=4182 no\n 82,41: '-' gives 41; target=4182 no\n 82,41: '*' gives 3362; target=4182 no\n 82,41: 'concat' gives 8241; target=4182 no\n 82,41: 'rev_concat' gives 4182; target=4182 MATCH\n 82,41: 'max*min+sum' gives 3485; target=4182 no\n 82,41: 'digitsum2' gives 225; target=4182 no\nThe only operator consistent with all examples is 'rev_concat'.\nApply to (60, 43):\n result = 4360\nFinal: \\boxed{4360}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 39 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 39 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 9 * 10^0 * 981 = 8829\n running total = 38259\nSo F = 38259 centiNewtons = 382.59 N.\nFinal: \\boxed{382.59}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n nrz yzbgro ytzxx fmrro\n### Reasoning:\n<|cot_start|>Cipher text: nrz yzbgro ytzxx fmrro\nTry each candidate Wonderland word against each ciphertext word:\n cipher='nrz' candidate='alice' length-match=False\n cipher='nrz' candidate='rabbit' length-match=False\n cipher='nrz' candidate='hatter' length-match=False\n cipher='nrz' candidate='cheshire' length-match=False\n cipher='nrz' candidate='queen' length-match=False\n cipher='nrz' candidate='tea' length-match=True <- assign\n cipher='nrz' candidate='cake' length-match=False\n cipher='nrz' candidate='garden' length-match=False\n cipher='nrz' candidate='mushroom' length-match=False\n cipher='nrz' candidate='card' length-match=False\n cipher='nrz' candidate='card' length-match=False\n cipher='nrz' candidate='wonderland' length-match=False\n cipher='nrz' candidate='white' length-match=False\n cipher='nrz' candidate='down' length-match=False\n cipher='nrz' candidate='smile' length-match=False\n cipher='nrz' candidate='smiled' length-match=False\n cipher='nrz' candidate='looking' length-match=False\n cipher='nrz' candidate='glass' length-match=False\n cipher='nrz' candidate='march' length-match=False\n cipher='nrz' candidate='hare' length-match=False\n cipher='nrz' candidate='dormouse' length-match=False\n cipher='yzbgro' candidate='alice' length-match=False\n cipher='yzbgro' candidate='rabbit' length-match=True\n cipher='yzbgro' candidate='hatter' length-match=True\n cipher='yzbgro' candidate='cheshire' length-match=False\n cipher='yzbgro' candidate='queen' length-match=False\n cipher='yzbgro' candidate='tea' length-match=False\n cipher='yzbgro' candidate='cake' length-match=False\n cipher='yzbgro' candidate='garden' length-match=True <- assign\n cipher='yzbgro' candidate='mushroom' length-match=False\n cipher='yzbgro' candidate='card' length-match=False\n cipher='yzbgro' candidate='card' length-match=False\n cipher='yzbgro' candidate='wonderland' length-match=False\n cipher='yzbgro' candidate='white' length-match=False\n cipher='yzbgro' candidate='down' length-match=False\n cipher='yzbgro' candidate='smile' length-match=False\n cipher='yzbgro' candidate='smiled' length-match=True\n cipher='yzbgro' candidate='looking' length-match=False\n cipher='yzbgro' candidate='glass' length-match=False\n cipher='yzbgro' candidate='march' length-match=False\n cipher='yzbgro' candidate='hare' length-match=False\n cipher='yzbgro' candidate='dormouse' length-match=False\n cipher='ytzxx' candidate='alice' length-match=True\n cipher='ytzxx' candidate='rabbit' length-match=False\n cipher='ytzxx' candidate='hatter' length-match=False\n cipher='ytzxx' candidate='cheshire' length-match=False\n cipher='ytzxx' candidate='queen' length-match=True\n cipher='ytzxx' candidate='tea' length-match=False\n cipher='ytzxx' candidate='cake' length-match=False\n cipher='ytzxx' candidate='garden' length-match=False\n cipher='ytzxx' candidate='mushroom' length-match=False\n cipher='ytzxx' candidate='card' length-match=False\n cipher='ytzxx' candidate='card' length-match=False\n cipher='ytzxx' candidate='wonderland' length-match=False\n cipher='ytzxx' candidate='white' length-match=True\n cipher='ytzxx' candidate='down' length-match=False\n cipher='ytzxx' candidate='smile' length-match=True\n cipher='ytzxx' candidate='smiled' length-match=False\n cipher='ytzxx' candidate='looking' length-match=False\n cipher='ytzxx' candidate='glass' length-match=True <- assign\n cipher='ytzxx' candidate='march' length-match=True\n cipher='ytzxx' candidate='hare' length-match=False\n cipher='ytzxx' candidate='dormouse' length-match=False\n cipher='fmrro' candidate='alice' length-match=True\n cipher='fmrro' candidate='rabbit' length-match=False\n cipher='fmrro' candidate='hatter' length-match=False\n cipher='fmrro' candidate='cheshire' length-match=False\n cipher='fmrro' candidate='queen' length-match=True <- assign\n cipher='fmrro' candidate='tea' length-match=False\n cipher='fmrro' candidate='cake' length-match=False\n cipher='fmrro' candidate='garden' length-match=False\n cipher='fmrro' candidate='mushroom' length-match=False\n cipher='fmrro' candidate='card' length-match=False\n cipher='fmrro' candidate='card' length-match=False\n cipher='fmrro' candidate='wonderland' length-match=False\n cipher='fmrro' candidate='white' length-match=True\n cipher='fmrro' candidate='down' length-match=False\n cipher='fmrro' candidate='smile' length-match=True\n cipher='fmrro' candidate='smiled' length-match=False\n cipher='fmrro' candidate='looking' length-match=False\n cipher='fmrro' candidate='glass' length-match=True\n cipher='fmrro' candidate='march' length-match=True\n cipher='fmrro' candidate='hare' length-match=False\n cipher='fmrro' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n tea garden glass queen\nFinal: \\boxed{tea garden glass queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10010001 -> 00011001\n 10110100 -> 01001011\n 10111111 -> 11111011\nApply to: 00001010\n### Reasoning:\n<|cot_start|>Given examples:\n 10010001 -> 00011001\n 10110100 -> 01001011\n 10111111 -> 11111011\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,0,1\n bit 1: 0,0,0 -> 0,1,1\n bit 2: 0,1,1 -> 0,0,1\n bit 3: 1,1,1 -> 1,0,1\n bit 4: 0,0,1 -> 1,1,1\n bit 5: 0,1,1 -> 0,0,0\n bit 6: 0,0,1 -> 0,1,1\n bit 7: 1,0,1 -> 1,1,1\nDeduce rule: swap nibbles.\nApply to 00001010:\n result = 10100000\nFinal: \\boxed{10100000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n V = 5 -> 70 + 5 = 75\n I = 1 -> 75 + 1 = 76\n I = 1 -> 76 + 1 = 77\nFinal: \\boxed{77}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n cbzzl jazuaxvz jgtz agsszv\n### Reasoning:\n<|cot_start|>Cipher text: cbzzl jazuaxvz jgtz agsszv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='cbzzl' candidate='alice' length-match=True\n cipher='cbzzl' candidate='rabbit' length-match=False\n cipher='cbzzl' candidate='hatter' length-match=False\n cipher='cbzzl' candidate='cheshire' length-match=False\n cipher='cbzzl' candidate='queen' length-match=True <- assign\n cipher='cbzzl' candidate='tea' length-match=False\n cipher='cbzzl' candidate='cake' length-match=False\n cipher='cbzzl' candidate='garden' length-match=False\n cipher='cbzzl' candidate='mushroom' length-match=False\n cipher='cbzzl' candidate='card' length-match=False\n cipher='cbzzl' candidate='card' length-match=False\n cipher='cbzzl' candidate='wonderland' length-match=False\n cipher='cbzzl' candidate='white' length-match=True\n cipher='cbzzl' candidate='down' length-match=False\n cipher='cbzzl' candidate='smile' length-match=True\n cipher='cbzzl' candidate='smiled' length-match=False\n cipher='cbzzl' candidate='looking' length-match=False\n cipher='cbzzl' candidate='glass' length-match=True\n cipher='cbzzl' candidate='march' length-match=True\n cipher='cbzzl' candidate='hare' length-match=False\n cipher='cbzzl' candidate='dormouse' length-match=False\n cipher='jazuaxvz' candidate='alice' length-match=False\n cipher='jazuaxvz' candidate='rabbit' length-match=False\n cipher='jazuaxvz' candidate='hatter' length-match=False\n cipher='jazuaxvz' candidate='cheshire' length-match=True <- assign\n cipher='jazuaxvz' candidate='queen' length-match=False\n cipher='jazuaxvz' candidate='tea' length-match=False\n cipher='jazuaxvz' candidate='cake' length-match=False\n cipher='jazuaxvz' candidate='garden' length-match=False\n cipher='jazuaxvz' candidate='mushroom' length-match=True\n cipher='jazuaxvz' candidate='card' length-match=False\n cipher='jazuaxvz' candidate='card' length-match=False\n cipher='jazuaxvz' candidate='wonderland' length-match=False\n cipher='jazuaxvz' candidate='white' length-match=False\n cipher='jazuaxvz' candidate='down' length-match=False\n cipher='jazuaxvz' candidate='smile' length-match=False\n cipher='jazuaxvz' candidate='smiled' length-match=False\n cipher='jazuaxvz' candidate='looking' length-match=False\n cipher='jazuaxvz' candidate='glass' length-match=False\n cipher='jazuaxvz' candidate='march' length-match=False\n cipher='jazuaxvz' candidate='hare' length-match=False\n cipher='jazuaxvz' candidate='dormouse' length-match=True\n cipher='jgtz' candidate='alice' length-match=False\n cipher='jgtz' candidate='rabbit' length-match=False\n cipher='jgtz' candidate='hatter' length-match=False\n cipher='jgtz' candidate='cheshire' length-match=False\n cipher='jgtz' candidate='queen' length-match=False\n cipher='jgtz' candidate='tea' length-match=False\n cipher='jgtz' candidate='cake' length-match=True <- assign\n cipher='jgtz' candidate='garden' length-match=False\n cipher='jgtz' candidate='mushroom' length-match=False\n cipher='jgtz' candidate='card' length-match=True\n cipher='jgtz' candidate='card' length-match=True\n cipher='jgtz' candidate='wonderland' length-match=False\n cipher='jgtz' candidate='white' length-match=False\n cipher='jgtz' candidate='down' length-match=True\n cipher='jgtz' candidate='smile' length-match=False\n cipher='jgtz' candidate='smiled' length-match=False\n cipher='jgtz' candidate='looking' length-match=False\n cipher='jgtz' candidate='glass' length-match=False\n cipher='jgtz' candidate='march' length-match=False\n cipher='jgtz' candidate='hare' length-match=True\n cipher='jgtz' candidate='dormouse' length-match=False\n cipher='agsszv' candidate='alice' length-match=False\n cipher='agsszv' candidate='rabbit' length-match=True\n cipher='agsszv' candidate='hatter' length-match=True <- assign\n cipher='agsszv' candidate='cheshire' length-match=False\n cipher='agsszv' candidate='queen' length-match=False\n cipher='agsszv' candidate='tea' length-match=False\n cipher='agsszv' candidate='cake' length-match=False\n cipher='agsszv' candidate='garden' length-match=True\n cipher='agsszv' candidate='mushroom' length-match=False\n cipher='agsszv' candidate='card' length-match=False\n cipher='agsszv' candidate='card' length-match=False\n cipher='agsszv' candidate='wonderland' length-match=False\n cipher='agsszv' candidate='white' length-match=False\n cipher='agsszv' candidate='down' length-match=False\n cipher='agsszv' candidate='smile' length-match=False\n cipher='agsszv' candidate='smiled' length-match=True\n cipher='agsszv' candidate='looking' length-match=False\n cipher='agsszv' candidate='glass' length-match=False\n cipher='agsszv' candidate='march' length-match=False\n cipher='agsszv' candidate='hare' length-match=False\n cipher='agsszv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n queen cheshire cake hatter\nFinal: \\boxed{queen cheshire cake hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 66,62 -> 6266\n 82,22 -> 2282\n 16,59 -> 5916\nApply to: 47,89\n### Reasoning:\n<|cot_start|>Examples:\n 66,62 -> 6266\n 82,22 -> 2282\n 16,59 -> 5916\nCheck both candidate forms:\n concat(66,62)=6662 rev_concat(66,62)=6266 target=6266 rev_concat\n concat(82,22)=8222 rev_concat(82,22)=2282 target=2282 rev_concat\n concat(16,59)=1659 rev_concat(16,59)=5916 target=5916 rev_concat\nConclude operator: rev_concat.\nApply to (47, 89): answer = 8947\nFinal: \\boxed{8947}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 36 minutes to seconds.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 minutes = 60 seconds.\nSo 36 minutes = 36 * 60 seconds.\nCompute step by step:\n 3 * 10^1 * 60 = 1800\n running total = 1800\n 6 * 10^0 * 60 = 360\n running total = 2160\nFinal: \\boxed{2160}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dmmwojt nxiy txiyzj pzx\n### Reasoning:\n<|cot_start|>Cipher text: dmmwojt nxiy txiyzj pzx\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dmmwojt' candidate='alice' length-match=False\n cipher='dmmwojt' candidate='rabbit' length-match=False\n cipher='dmmwojt' candidate='hatter' length-match=False\n cipher='dmmwojt' candidate='cheshire' length-match=False\n cipher='dmmwojt' candidate='queen' length-match=False\n cipher='dmmwojt' candidate='tea' length-match=False\n cipher='dmmwojt' candidate='cake' length-match=False\n cipher='dmmwojt' candidate='garden' length-match=False\n cipher='dmmwojt' candidate='mushroom' length-match=False\n cipher='dmmwojt' candidate='card' length-match=False\n cipher='dmmwojt' candidate='card' length-match=False\n cipher='dmmwojt' candidate='wonderland' length-match=False\n cipher='dmmwojt' candidate='white' length-match=False\n cipher='dmmwojt' candidate='down' length-match=False\n cipher='dmmwojt' candidate='smile' length-match=False\n cipher='dmmwojt' candidate='smiled' length-match=False\n cipher='dmmwojt' candidate='looking' length-match=True <- assign\n cipher='dmmwojt' candidate='glass' length-match=False\n cipher='dmmwojt' candidate='march' length-match=False\n cipher='dmmwojt' candidate='hare' length-match=False\n cipher='dmmwojt' candidate='dormouse' length-match=False\n cipher='nxiy' candidate='alice' length-match=False\n cipher='nxiy' candidate='rabbit' length-match=False\n cipher='nxiy' candidate='hatter' length-match=False\n cipher='nxiy' candidate='cheshire' length-match=False\n cipher='nxiy' candidate='queen' length-match=False\n cipher='nxiy' candidate='tea' length-match=False\n cipher='nxiy' candidate='cake' length-match=True\n cipher='nxiy' candidate='garden' length-match=False\n cipher='nxiy' candidate='mushroom' length-match=False\n cipher='nxiy' candidate='card' length-match=True <- assign\n cipher='nxiy' candidate='card' length-match=True <- assign\n cipher='nxiy' candidate='wonderland' length-match=False\n cipher='nxiy' candidate='white' length-match=False\n cipher='nxiy' candidate='down' length-match=True\n cipher='nxiy' candidate='smile' length-match=False\n cipher='nxiy' candidate='smiled' length-match=False\n cipher='nxiy' candidate='looking' length-match=False\n cipher='nxiy' candidate='glass' length-match=False\n cipher='nxiy' candidate='march' length-match=False\n cipher='nxiy' candidate='hare' length-match=True\n cipher='nxiy' candidate='dormouse' length-match=False\n cipher='txiyzj' candidate='alice' length-match=False\n cipher='txiyzj' candidate='rabbit' length-match=True\n cipher='txiyzj' candidate='hatter' length-match=True\n cipher='txiyzj' candidate='cheshire' length-match=False\n cipher='txiyzj' candidate='queen' length-match=False\n cipher='txiyzj' candidate='tea' length-match=False\n cipher='txiyzj' candidate='cake' length-match=False\n cipher='txiyzj' candidate='garden' length-match=True <- assign\n cipher='txiyzj' candidate='mushroom' length-match=False\n cipher='txiyzj' candidate='card' length-match=False\n cipher='txiyzj' candidate='card' length-match=False\n cipher='txiyzj' candidate='wonderland' length-match=False\n cipher='txiyzj' candidate='white' length-match=False\n cipher='txiyzj' candidate='down' length-match=False\n cipher='txiyzj' candidate='smile' length-match=False\n cipher='txiyzj' candidate='smiled' length-match=True\n cipher='txiyzj' candidate='looking' length-match=False\n cipher='txiyzj' candidate='glass' length-match=False\n cipher='txiyzj' candidate='march' length-match=False\n cipher='txiyzj' candidate='hare' length-match=False\n cipher='txiyzj' candidate='dormouse' length-match=False\n cipher='pzx' candidate='alice' length-match=False\n cipher='pzx' candidate='rabbit' length-match=False\n cipher='pzx' candidate='hatter' length-match=False\n cipher='pzx' candidate='cheshire' length-match=False\n cipher='pzx' candidate='queen' length-match=False\n cipher='pzx' candidate='tea' length-match=True <- assign\n cipher='pzx' candidate='cake' length-match=False\n cipher='pzx' candidate='garden' length-match=False\n cipher='pzx' candidate='mushroom' length-match=False\n cipher='pzx' candidate='card' length-match=False\n cipher='pzx' candidate='card' length-match=False\n cipher='pzx' candidate='wonderland' length-match=False\n cipher='pzx' candidate='white' length-match=False\n cipher='pzx' candidate='down' length-match=False\n cipher='pzx' candidate='smile' length-match=False\n cipher='pzx' candidate='smiled' length-match=False\n cipher='pzx' candidate='looking' length-match=False\n cipher='pzx' candidate='glass' length-match=False\n cipher='pzx' candidate='march' length-match=False\n cipher='pzx' candidate='hare' length-match=False\n cipher='pzx' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking card garden tea\nFinal: \\boxed{looking card garden tea}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11110001 -> 11110001\n 11100011 -> 11110011\n 11110011 -> 11110011\nApply to: 01011110\n### Reasoning:\n<|cot_start|>Given examples:\n 11110001 -> 11110001\n 11100011 -> 11110011\n 11110011 -> 11110011\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 1,1,1\n bit 1: 1,1,1 -> 1,1,1\n bit 2: 1,1,1 -> 1,1,1\n bit 3: 1,0,1 -> 1,1,1\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 0,0,0 -> 0,0,0\n bit 6: 0,1,1 -> 0,1,1\n bit 7: 1,1,1 -> 1,1,1\nDeduce rule: or 0xF0.\nApply to 01011110:\n result = 11111110\nFinal: \\boxed{11111110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n ayyxhdg nyvryjcz vuwwhp fuppzv\n### Reasoning:\n<|cot_start|>Cipher text: ayyxhdg nyvryjcz vuwwhp fuppzv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='ayyxhdg' candidate='alice' length-match=False\n cipher='ayyxhdg' candidate='rabbit' length-match=False\n cipher='ayyxhdg' candidate='hatter' length-match=False\n cipher='ayyxhdg' candidate='cheshire' length-match=False\n cipher='ayyxhdg' candidate='queen' length-match=False\n cipher='ayyxhdg' candidate='tea' length-match=False\n cipher='ayyxhdg' candidate='cake' length-match=False\n cipher='ayyxhdg' candidate='garden' length-match=False\n cipher='ayyxhdg' candidate='mushroom' length-match=False\n cipher='ayyxhdg' candidate='card' length-match=False\n cipher='ayyxhdg' candidate='card' length-match=False\n cipher='ayyxhdg' candidate='wonderland' length-match=False\n cipher='ayyxhdg' candidate='white' length-match=False\n cipher='ayyxhdg' candidate='down' length-match=False\n cipher='ayyxhdg' candidate='smile' length-match=False\n cipher='ayyxhdg' candidate='smiled' length-match=False\n cipher='ayyxhdg' candidate='looking' length-match=True <- assign\n cipher='ayyxhdg' candidate='glass' length-match=False\n cipher='ayyxhdg' candidate='march' length-match=False\n cipher='ayyxhdg' candidate='hare' length-match=False\n cipher='ayyxhdg' candidate='dormouse' length-match=False\n cipher='nyvryjcz' candidate='alice' length-match=False\n cipher='nyvryjcz' candidate='rabbit' length-match=False\n cipher='nyvryjcz' candidate='hatter' length-match=False\n cipher='nyvryjcz' candidate='cheshire' length-match=True\n cipher='nyvryjcz' candidate='queen' length-match=False\n cipher='nyvryjcz' candidate='tea' length-match=False\n cipher='nyvryjcz' candidate='cake' length-match=False\n cipher='nyvryjcz' candidate='garden' length-match=False\n cipher='nyvryjcz' candidate='mushroom' length-match=True\n cipher='nyvryjcz' candidate='card' length-match=False\n cipher='nyvryjcz' candidate='card' length-match=False\n cipher='nyvryjcz' candidate='wonderland' length-match=False\n cipher='nyvryjcz' candidate='white' length-match=False\n cipher='nyvryjcz' candidate='down' length-match=False\n cipher='nyvryjcz' candidate='smile' length-match=False\n cipher='nyvryjcz' candidate='smiled' length-match=False\n cipher='nyvryjcz' candidate='looking' length-match=False\n cipher='nyvryjcz' candidate='glass' length-match=False\n cipher='nyvryjcz' candidate='march' length-match=False\n cipher='nyvryjcz' candidate='hare' length-match=False\n cipher='nyvryjcz' candidate='dormouse' length-match=True <- assign\n cipher='vuwwhp' candidate='alice' length-match=False\n cipher='vuwwhp' candidate='rabbit' length-match=True <- assign\n cipher='vuwwhp' candidate='hatter' length-match=True\n cipher='vuwwhp' candidate='cheshire' length-match=False\n cipher='vuwwhp' candidate='queen' length-match=False\n cipher='vuwwhp' candidate='tea' length-match=False\n cipher='vuwwhp' candidate='cake' length-match=False\n cipher='vuwwhp' candidate='garden' length-match=True\n cipher='vuwwhp' candidate='mushroom' length-match=False\n cipher='vuwwhp' candidate='card' length-match=False\n cipher='vuwwhp' candidate='card' length-match=False\n cipher='vuwwhp' candidate='wonderland' length-match=False\n cipher='vuwwhp' candidate='white' length-match=False\n cipher='vuwwhp' candidate='down' length-match=False\n cipher='vuwwhp' candidate='smile' length-match=False\n cipher='vuwwhp' candidate='smiled' length-match=True\n cipher='vuwwhp' candidate='looking' length-match=False\n cipher='vuwwhp' candidate='glass' length-match=False\n cipher='vuwwhp' candidate='march' length-match=False\n cipher='vuwwhp' candidate='hare' length-match=False\n cipher='vuwwhp' candidate='dormouse' length-match=False\n cipher='fuppzv' candidate='alice' length-match=False\n cipher='fuppzv' candidate='rabbit' length-match=True\n cipher='fuppzv' candidate='hatter' length-match=True <- assign\n cipher='fuppzv' candidate='cheshire' length-match=False\n cipher='fuppzv' candidate='queen' length-match=False\n cipher='fuppzv' candidate='tea' length-match=False\n cipher='fuppzv' candidate='cake' length-match=False\n cipher='fuppzv' candidate='garden' length-match=True\n cipher='fuppzv' candidate='mushroom' length-match=False\n cipher='fuppzv' candidate='card' length-match=False\n cipher='fuppzv' candidate='card' length-match=False\n cipher='fuppzv' candidate='wonderland' length-match=False\n cipher='fuppzv' candidate='white' length-match=False\n cipher='fuppzv' candidate='down' length-match=False\n cipher='fuppzv' candidate='smile' length-match=False\n cipher='fuppzv' candidate='smiled' length-match=True\n cipher='fuppzv' candidate='looking' length-match=False\n cipher='fuppzv' candidate='glass' length-match=False\n cipher='fuppzv' candidate='march' length-match=False\n cipher='fuppzv' candidate='hare' length-match=False\n cipher='fuppzv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking dormouse rabbit hatter\nFinal: \\boxed{looking dormouse rabbit hatter}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 37 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 37 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 7 * 10^0 * 981 = 6867\n running total = 36297\nSo F = 36297 centiNewtons = 362.97 N.\nFinal: \\boxed{362.97}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 94,12 -> 256\n 52,29 -> 324\n 23,75 -> 289\nApply to: 50,87\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 94,12: '+' gives 106; target=256 no\n 94,12: '-' gives 82; target=256 no\n 94,12: '*' gives 1128; target=256 no\n 94,12: 'concat' gives 9412; target=256 no\n 94,12: 'rev_concat' gives 1294; target=256 no\n 94,12: 'max*min+sum' gives 1234; target=256 no\n 94,12: 'digitsum2' gives 256; target=256 MATCH\n 52,29: '+' gives 81; target=324 no\n 52,29: '-' gives 23; target=324 no\n 52,29: '*' gives 1508; target=324 no\n 52,29: 'concat' gives 5229; target=324 no\n 52,29: 'rev_concat' gives 2952; target=324 no\n 52,29: 'max*min+sum' gives 1589; target=324 no\n 52,29: 'digitsum2' gives 324; target=324 MATCH\n 23,75: '+' gives 98; target=289 no\n 23,75: '-' gives 52; target=289 no\n 23,75: '*' gives 1725; target=289 no\n 23,75: 'concat' gives 2375; target=289 no\n 23,75: 'rev_concat' gives 7523; target=289 no\n 23,75: 'max*min+sum' gives 1823; target=289 no\n 23,75: 'digitsum2' gives 289; target=289 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (50, 87):\n result = 400\nFinal: \\boxed{400}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral VIII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n V = 5 -> 0 + 5 = 5\n I = 1 -> 5 + 1 = 6\n I = 1 -> 6 + 1 = 7\n I = 1 -> 7 + 1 = 8\nFinal: \\boxed{8}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n xkkishw mlnba uastv emsxv\n### Reasoning:\n<|cot_start|>Cipher text: xkkishw mlnba uastv emsxv\nTry each candidate Wonderland word against each ciphertext word:\n cipher='xkkishw' candidate='alice' length-match=False\n cipher='xkkishw' candidate='rabbit' length-match=False\n cipher='xkkishw' candidate='hatter' length-match=False\n cipher='xkkishw' candidate='cheshire' length-match=False\n cipher='xkkishw' candidate='queen' length-match=False\n cipher='xkkishw' candidate='tea' length-match=False\n cipher='xkkishw' candidate='cake' length-match=False\n cipher='xkkishw' candidate='garden' length-match=False\n cipher='xkkishw' candidate='mushroom' length-match=False\n cipher='xkkishw' candidate='card' length-match=False\n cipher='xkkishw' candidate='card' length-match=False\n cipher='xkkishw' candidate='wonderland' length-match=False\n cipher='xkkishw' candidate='white' length-match=False\n cipher='xkkishw' candidate='down' length-match=False\n cipher='xkkishw' candidate='smile' length-match=False\n cipher='xkkishw' candidate='smiled' length-match=False\n cipher='xkkishw' candidate='looking' length-match=True <- assign\n cipher='xkkishw' candidate='glass' length-match=False\n cipher='xkkishw' candidate='march' length-match=False\n cipher='xkkishw' candidate='hare' length-match=False\n cipher='xkkishw' candidate='dormouse' length-match=False\n cipher='mlnba' candidate='alice' length-match=True\n cipher='mlnba' candidate='rabbit' length-match=False\n cipher='mlnba' candidate='hatter' length-match=False\n cipher='mlnba' candidate='cheshire' length-match=False\n cipher='mlnba' candidate='queen' length-match=True\n cipher='mlnba' candidate='tea' length-match=False\n cipher='mlnba' candidate='cake' length-match=False\n cipher='mlnba' candidate='garden' length-match=False\n cipher='mlnba' candidate='mushroom' length-match=False\n cipher='mlnba' candidate='card' length-match=False\n cipher='mlnba' candidate='card' length-match=False\n cipher='mlnba' candidate='wonderland' length-match=False\n cipher='mlnba' candidate='white' length-match=True\n cipher='mlnba' candidate='down' length-match=False\n cipher='mlnba' candidate='smile' length-match=True\n cipher='mlnba' candidate='smiled' length-match=False\n cipher='mlnba' candidate='looking' length-match=False\n cipher='mlnba' candidate='glass' length-match=True\n cipher='mlnba' candidate='march' length-match=True <- assign\n cipher='mlnba' candidate='hare' length-match=False\n cipher='mlnba' candidate='dormouse' length-match=False\n cipher='uastv' candidate='alice' length-match=True\n cipher='uastv' candidate='rabbit' length-match=False\n cipher='uastv' candidate='hatter' length-match=False\n cipher='uastv' candidate='cheshire' length-match=False\n cipher='uastv' candidate='queen' length-match=True\n cipher='uastv' candidate='tea' length-match=False\n cipher='uastv' candidate='cake' length-match=False\n cipher='uastv' candidate='garden' length-match=False\n cipher='uastv' candidate='mushroom' length-match=False\n cipher='uastv' candidate='card' length-match=False\n cipher='uastv' candidate='card' length-match=False\n cipher='uastv' candidate='wonderland' length-match=False\n cipher='uastv' candidate='white' length-match=True <- assign\n cipher='uastv' candidate='down' length-match=False\n cipher='uastv' candidate='smile' length-match=True\n cipher='uastv' candidate='smiled' length-match=False\n cipher='uastv' candidate='looking' length-match=False\n cipher='uastv' candidate='glass' length-match=True\n cipher='uastv' candidate='march' length-match=True\n cipher='uastv' candidate='hare' length-match=False\n cipher='uastv' candidate='dormouse' length-match=False\n cipher='emsxv' candidate='alice' length-match=True\n cipher='emsxv' candidate='rabbit' length-match=False\n cipher='emsxv' candidate='hatter' length-match=False\n cipher='emsxv' candidate='cheshire' length-match=False\n cipher='emsxv' candidate='queen' length-match=True\n cipher='emsxv' candidate='tea' length-match=False\n cipher='emsxv' candidate='cake' length-match=False\n cipher='emsxv' candidate='garden' length-match=False\n cipher='emsxv' candidate='mushroom' length-match=False\n cipher='emsxv' candidate='card' length-match=False\n cipher='emsxv' candidate='card' length-match=False\n cipher='emsxv' candidate='wonderland' length-match=False\n cipher='emsxv' candidate='white' length-match=True\n cipher='emsxv' candidate='down' length-match=False\n cipher='emsxv' candidate='smile' length-match=True <- assign\n cipher='emsxv' candidate='smiled' length-match=False\n cipher='emsxv' candidate='looking' length-match=False\n cipher='emsxv' candidate='glass' length-match=True\n cipher='emsxv' candidate='march' length-match=True\n cipher='emsxv' candidate='hare' length-match=False\n cipher='emsxv' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n looking march white smile\nFinal: \\boxed{looking march white smile}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 21 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 21 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 1 * 10^0 * 981 = 981\n running total = 20601\nSo F = 20601 centiNewtons = 206.01 N.\nFinal: \\boxed{206.01}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 61,61 -> 6161\n 17,49 -> 1749\n 32,31 -> 3231\nApply to: 51,25\n### Reasoning:\n<|cot_start|>Examples:\n 61,61 -> 6161\n 17,49 -> 1749\n 32,31 -> 3231\nCheck both candidate forms:\n concat(61,61)=6161 rev_concat(61,61)=6161 target=6161 concat\n concat(17,49)=1749 rev_concat(17,49)=4917 target=1749 concat\n concat(32,31)=3231 rev_concat(32,31)=3132 target=3231 concat\nConclude operator: concat.\nApply to (51, 25): answer = 5125\nFinal: \\boxed{5125}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 8 days to hours.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 days = 24 hours.\nSo 8 days = 8 * 24 hours.\nCompute step by step:\n 8 * 10^0 * 24 = 192\n running total = 192\nFinal: \\boxed{192}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral X to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\nFinal: \\boxed{10}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 13,57 -> 1357\n 52,76 -> 5276\n 85,85 -> 8585\nApply to: 61,79\n### Reasoning:\n<|cot_start|>Examples:\n 13,57 -> 1357\n 52,76 -> 5276\n 85,85 -> 8585\nCheck both candidate forms:\n concat(13,57)=1357 rev_concat(13,57)=5713 target=1357 concat\n concat(52,76)=5276 rev_concat(52,76)=7652 target=5276 concat\n concat(85,85)=8585 rev_concat(85,85)=8585 target=8585 concat\nConclude operator: concat.\nApply to (61, 79): answer = 6179\nFinal: \\boxed{6179}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 11101111 -> 00001111\n 10000001 -> 00000001\n 10110000 -> 00000000\nApply to: 10001011\n### Reasoning:\n<|cot_start|>Given examples:\n 11101111 -> 00001111\n 10000001 -> 00000001\n 10110000 -> 00000000\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,0,0\n bit 1: 1,0,0 -> 0,0,0\n bit 2: 1,0,1 -> 0,0,0\n bit 3: 0,0,1 -> 0,0,0\n bit 4: 1,0,0 -> 1,0,0\n bit 5: 1,0,0 -> 1,0,0\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: and 0x0F.\nApply to 10001011:\n result = 00001011\nFinal: \\boxed{00001011}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00001101 -> 00001101\n 11000101 -> 00000101\n 11100101 -> 00000101\nApply to: 00011010\n### Reasoning:\n<|cot_start|>Given examples:\n 00001101 -> 00001101\n 11000101 -> 00000101\n 11100101 -> 00000101\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,0,0\n bit 1: 0,1,1 -> 0,0,0\n bit 2: 0,0,1 -> 0,0,0\n bit 3: 0,0,0 -> 0,0,0\n bit 4: 1,0,0 -> 1,0,0\n bit 5: 1,1,1 -> 1,1,1\n bit 6: 0,0,0 -> 0,0,0\n bit 7: 1,1,1 -> 1,1,1\nDeduce rule: and 0x0F.\nApply to 00011010:\n result = 00001010\nFinal: \\boxed{00001010}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10011100 -> 01001110\n 00101011 -> 10010101\n 10111100 -> 01011110\nApply to: 01001010\n### Reasoning:\n<|cot_start|>Given examples:\n 10011100 -> 01001110\n 00101011 -> 10010101\n 10111100 -> 01011110\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,1,0\n bit 1: 0,0,0 -> 1,0,1\n bit 2: 0,1,1 -> 0,0,0\n bit 3: 1,0,1 -> 0,1,1\n bit 4: 1,1,1 -> 1,0,1\n bit 5: 1,0,1 -> 1,1,1\n bit 6: 0,1,0 -> 1,0,1\n bit 7: 0,1,0 -> 0,1,0\nDeduce rule: rotate right 1.\nApply to 01001010:\n result = 00100101\nFinal: \\boxed{00100101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 70,43 -> 7043\n 71,34 -> 7134\n 67,95 -> 6795\nApply to: 30,87\n### Reasoning:\n<|cot_start|>Examples:\n 70,43 -> 7043\n 71,34 -> 7134\n 67,95 -> 6795\nCheck both candidate forms:\n concat(70,43)=7043 rev_concat(70,43)=4370 target=7043 concat\n concat(71,34)=7134 rev_concat(71,34)=3471 target=7134 concat\n concat(67,95)=6795 rev_concat(67,95)=9567 target=6795 concat\nConclude operator: concat.\nApply to (30, 87): answer = 3087\nFinal: \\boxed{3087}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n V = 5 -> 10 + 5 = 15\n I = 1 -> 15 + 1 = 16\nFinal: \\boxed{16}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XXXIV to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n X = 10 -> 0 + 10 = 10\n X = 10 -> 10 + 10 = 20\n X = 10 -> 20 + 10 = 30\n IV = 4 -> 30 + 4 = 34\nFinal: \\boxed{34}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 4 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 4 * 981.\nStep-by-step multiplication:\n 4 * 10^0 * 981 = 3924\n running total = 3924\nSo F = 3924 centiNewtons = 39.24 N.\nFinal: \\boxed{39.24}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00100001 -> 01110100\n 00111011 -> 01101110\n 01100111 -> 00110010\nApply to: 00110011\n### Reasoning:\n<|cot_start|>Given examples:\n 00100001 -> 01110100\n 00111011 -> 01101110\n 01100111 -> 00110010\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,0,0\n bit 1: 0,0,1 -> 1,1,0\n bit 2: 1,1,1 -> 1,1,1\n bit 3: 0,1,0 -> 1,0,1\n bit 4: 0,1,0 -> 0,1,0\n bit 5: 0,0,1 -> 1,1,0\n bit 6: 0,1,1 -> 0,1,1\n bit 7: 1,1,1 -> 0,0,0\nDeduce rule: xor 0x55.\nApply to 00110011:\n result = 01100110\nFinal: \\boxed{01100110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 46 hours to minutes.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 hours = 60 minutes.\nSo 46 hours = 46 * 60 minutes.\nCompute step by step:\n 4 * 10^1 * 60 = 2400\n running total = 2400\n 6 * 10^0 * 60 = 360\n running total = 2760\nFinal: \\boxed{2760}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 73 hours to minutes.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 hours = 60 minutes.\nSo 73 hours = 73 * 60 minutes.\nCompute step by step:\n 7 * 10^1 * 60 = 4200\n running total = 4200\n 3 * 10^0 * 60 = 180\n running total = 4380\nFinal: \\boxed{4380}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 18 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 18 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 8 * 10^0 * 981 = 7848\n running total = 17658\nSo F = 17658 centiNewtons = 176.58 N.\nFinal: \\boxed{176.58}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 3 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 3 * 981.\nStep-by-step multiplication:\n 3 * 10^0 * 981 = 2943\n running total = 2943\nSo F = 2943 centiNewtons = 29.43 N.\nFinal: \\boxed{29.43}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 1 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 1 * 981.\nStep-by-step multiplication:\n 1 * 10^0 * 981 = 981\n running total = 981\nSo F = 981 centiNewtons = 9.81 N.\nFinal: \\boxed{9.81}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 83,77 -> 160\n 16,27 -> 43\n 90,69 -> 159\nApply to: 82,27\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 83,77: '+' gives 160; target=160 MATCH\n 83,77: '-' gives 6; target=160 no\n 83,77: '*' gives 6391; target=160 no\n 83,77: 'concat' gives 8377; target=160 no\n 83,77: 'rev_concat' gives 7783; target=160 no\n 83,77: 'max*min+sum' gives 6551; target=160 no\n 83,77: 'digitsum2' gives 625; target=160 no\n 16,27: '+' gives 43; target=43 MATCH\n 16,27: '-' gives 11; target=43 no\n 16,27: '*' gives 432; target=43 no\n 16,27: 'concat' gives 1627; target=43 no\n 16,27: 'rev_concat' gives 2716; target=43 no\n 16,27: 'max*min+sum' gives 475; target=43 no\n 16,27: 'digitsum2' gives 256; target=43 no\n 90,69: '+' gives 159; target=159 MATCH\n 90,69: '-' gives 21; target=159 no\n 90,69: '*' gives 6210; target=159 no\n 90,69: 'concat' gives 9069; target=159 no\n 90,69: 'rev_concat' gives 6990; target=159 no\n 90,69: 'max*min+sum' gives 6369; target=159 no\n 90,69: 'digitsum2' gives 576; target=159 no\nThe only operator consistent with all examples is '+'.\nApply to (82, 27):\n result = 109\nFinal: \\boxed{109}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXXIX to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n X = 10 -> 60 + 10 = 70\n IX = 9 -> 70 + 9 = 79\nFinal: \\boxed{79}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 94,68 -> 9468\n 18,41 -> 1841\n 39,25 -> 3925\nApply to: 29,65\n### Reasoning:\n<|cot_start|>Examples:\n 94,68 -> 9468\n 18,41 -> 1841\n 39,25 -> 3925\nCheck both candidate forms:\n concat(94,68)=9468 rev_concat(94,68)=6894 target=9468 concat\n concat(18,41)=1841 rev_concat(18,41)=4118 target=1841 concat\n concat(39,25)=3925 rev_concat(39,25)=2539 target=3925 concat\nConclude operator: concat.\nApply to (29, 65): answer = 2965\nFinal: \\boxed{2965}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cryptarithm", "text": "### Task: cryptarithm\n### Problem:\nCryptarithm-style mapping. Examples:\n 43,35 -> 4335\n 61,87 -> 6187\n 67,71 -> 6771\nApply to: 49,52\n### Reasoning:\n<|cot_start|>Examples:\n 43,35 -> 4335\n 61,87 -> 6187\n 67,71 -> 6771\nCheck both candidate forms:\n concat(43,35)=4335 rev_concat(43,35)=3543 target=4335 concat\n concat(61,87)=6187 rev_concat(61,87)=8761 target=6187 concat\n concat(67,71)=6771 rev_concat(67,71)=7167 target=6771 concat\nConclude operator: concat.\nApply to (49, 52): answer = 4952\nFinal: \\boxed{4952}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 81,23 -> 1967\n 97,71 -> 7055\n 76,88 -> 6852\nApply to: 99,73\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 81,23: '+' gives 104; target=1967 no\n 81,23: '-' gives 58; target=1967 no\n 81,23: '*' gives 1863; target=1967 no\n 81,23: 'concat' gives 8123; target=1967 no\n 81,23: 'rev_concat' gives 2381; target=1967 no\n 81,23: 'max*min+sum' gives 1967; target=1967 MATCH\n 81,23: 'digitsum2' gives 196; target=1967 no\n 97,71: '+' gives 168; target=7055 no\n 97,71: '-' gives 26; target=7055 no\n 97,71: '*' gives 6887; target=7055 no\n 97,71: 'concat' gives 9771; target=7055 no\n 97,71: 'rev_concat' gives 7197; target=7055 no\n 97,71: 'max*min+sum' gives 7055; target=7055 MATCH\n 97,71: 'digitsum2' gives 576; target=7055 no\n 76,88: '+' gives 164; target=6852 no\n 76,88: '-' gives 12; target=6852 no\n 76,88: '*' gives 6688; target=6852 no\n 76,88: 'concat' gives 7688; target=6852 no\n 76,88: 'rev_concat' gives 8876; target=6852 no\n 76,88: 'max*min+sum' gives 6852; target=6852 MATCH\n 76,88: 'digitsum2' gives 841; target=6852 no\nThe only operator consistent with all examples is 'max*min+sum'.\nApply to (99, 73):\n result = 7399\nFinal: \\boxed{7399}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 6 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 6 * 981.\nStep-by-step multiplication:\n 6 * 10^0 * 981 = 5886\n running total = 5886\nSo F = 5886 centiNewtons = 58.86 N.\nFinal: \\boxed{58.86}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 20,37 -> 144\n 91,76 -> 529\n 55,96 -> 625\nApply to: 68,94\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 20,37: '+' gives 57; target=144 no\n 20,37: '-' gives 17; target=144 no\n 20,37: '*' gives 740; target=144 no\n 20,37: 'concat' gives 2037; target=144 no\n 20,37: 'rev_concat' gives 3720; target=144 no\n 20,37: 'max*min+sum' gives 797; target=144 no\n 20,37: 'digitsum2' gives 144; target=144 MATCH\n 91,76: '+' gives 167; target=529 no\n 91,76: '-' gives 15; target=529 no\n 91,76: '*' gives 6916; target=529 no\n 91,76: 'concat' gives 9176; target=529 no\n 91,76: 'rev_concat' gives 7691; target=529 no\n 91,76: 'max*min+sum' gives 7083; target=529 no\n 91,76: 'digitsum2' gives 529; target=529 MATCH\n 55,96: '+' gives 151; target=625 no\n 55,96: '-' gives 41; target=625 no\n 55,96: '*' gives 5280; target=625 no\n 55,96: 'concat' gives 5596; target=625 no\n 55,96: 'rev_concat' gives 9655; target=625 no\n 55,96: 'max*min+sum' gives 5431; target=625 no\n 55,96: 'digitsum2' gives 625; target=625 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (68, 94):\n result = 729\nFinal: \\boxed{729}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 43 litres to millilitres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.\nSo 43 litres = 43 * 1000 millilitres.\nCompute step by step:\n 4 * 10^1 * 1000 = 40000\n running total = 40000\n 3 * 10^0 * 1000 = 3000\n running total = 43000\nFinal: \\boxed{43000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n cdwwto sdat sctbchot kfdbb\n### Reasoning:\n<|cot_start|>Cipher text: cdwwto sdat sctbchot kfdbb\nTry each candidate Wonderland word against each ciphertext word:\n cipher='cdwwto' candidate='alice' length-match=False\n cipher='cdwwto' candidate='rabbit' length-match=True\n cipher='cdwwto' candidate='hatter' length-match=True <- assign\n cipher='cdwwto' candidate='cheshire' length-match=False\n cipher='cdwwto' candidate='queen' length-match=False\n cipher='cdwwto' candidate='tea' length-match=False\n cipher='cdwwto' candidate='cake' length-match=False\n cipher='cdwwto' candidate='garden' length-match=True\n cipher='cdwwto' candidate='mushroom' length-match=False\n cipher='cdwwto' candidate='card' length-match=False\n cipher='cdwwto' candidate='card' length-match=False\n cipher='cdwwto' candidate='wonderland' length-match=False\n cipher='cdwwto' candidate='white' length-match=False\n cipher='cdwwto' candidate='down' length-match=False\n cipher='cdwwto' candidate='smile' length-match=False\n cipher='cdwwto' candidate='smiled' length-match=True\n cipher='cdwwto' candidate='looking' length-match=False\n cipher='cdwwto' candidate='glass' length-match=False\n cipher='cdwwto' candidate='march' length-match=False\n cipher='cdwwto' candidate='hare' length-match=False\n cipher='cdwwto' candidate='dormouse' length-match=False\n cipher='sdat' candidate='alice' length-match=False\n cipher='sdat' candidate='rabbit' length-match=False\n cipher='sdat' candidate='hatter' length-match=False\n cipher='sdat' candidate='cheshire' length-match=False\n cipher='sdat' candidate='queen' length-match=False\n cipher='sdat' candidate='tea' length-match=False\n cipher='sdat' candidate='cake' length-match=True <- assign\n cipher='sdat' candidate='garden' length-match=False\n cipher='sdat' candidate='mushroom' length-match=False\n cipher='sdat' candidate='card' length-match=True\n cipher='sdat' candidate='card' length-match=True\n cipher='sdat' candidate='wonderland' length-match=False\n cipher='sdat' candidate='white' length-match=False\n cipher='sdat' candidate='down' length-match=True\n cipher='sdat' candidate='smile' length-match=False\n cipher='sdat' candidate='smiled' length-match=False\n cipher='sdat' candidate='looking' length-match=False\n cipher='sdat' candidate='glass' length-match=False\n cipher='sdat' candidate='march' length-match=False\n cipher='sdat' candidate='hare' length-match=True\n cipher='sdat' candidate='dormouse' length-match=False\n cipher='sctbchot' candidate='alice' length-match=False\n cipher='sctbchot' candidate='rabbit' length-match=False\n cipher='sctbchot' candidate='hatter' length-match=False\n cipher='sctbchot' candidate='cheshire' length-match=True <- assign\n cipher='sctbchot' candidate='queen' length-match=False\n cipher='sctbchot' candidate='tea' length-match=False\n cipher='sctbchot' candidate='cake' length-match=False\n cipher='sctbchot' candidate='garden' length-match=False\n cipher='sctbchot' candidate='mushroom' length-match=True\n cipher='sctbchot' candidate='card' length-match=False\n cipher='sctbchot' candidate='card' length-match=False\n cipher='sctbchot' candidate='wonderland' length-match=False\n cipher='sctbchot' candidate='white' length-match=False\n cipher='sctbchot' candidate='down' length-match=False\n cipher='sctbchot' candidate='smile' length-match=False\n cipher='sctbchot' candidate='smiled' length-match=False\n cipher='sctbchot' candidate='looking' length-match=False\n cipher='sctbchot' candidate='glass' length-match=False\n cipher='sctbchot' candidate='march' length-match=False\n cipher='sctbchot' candidate='hare' length-match=False\n cipher='sctbchot' candidate='dormouse' length-match=True\n cipher='kfdbb' candidate='alice' length-match=True\n cipher='kfdbb' candidate='rabbit' length-match=False\n cipher='kfdbb' candidate='hatter' length-match=False\n cipher='kfdbb' candidate='cheshire' length-match=False\n cipher='kfdbb' candidate='queen' length-match=True\n cipher='kfdbb' candidate='tea' length-match=False\n cipher='kfdbb' candidate='cake' length-match=False\n cipher='kfdbb' candidate='garden' length-match=False\n cipher='kfdbb' candidate='mushroom' length-match=False\n cipher='kfdbb' candidate='card' length-match=False\n cipher='kfdbb' candidate='card' length-match=False\n cipher='kfdbb' candidate='wonderland' length-match=False\n cipher='kfdbb' candidate='white' length-match=True\n cipher='kfdbb' candidate='down' length-match=False\n cipher='kfdbb' candidate='smile' length-match=True\n cipher='kfdbb' candidate='smiled' length-match=False\n cipher='kfdbb' candidate='looking' length-match=False\n cipher='kfdbb' candidate='glass' length-match=True <- assign\n cipher='kfdbb' candidate='march' length-match=True\n cipher='kfdbb' candidate='hare' length-match=False\n cipher='kfdbb' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n hatter cake cheshire glass\nFinal: \\boxed{hatter cake cheshire glass}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 8 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 8 * 981.\nStep-by-step multiplication:\n 8 * 10^0 * 981 = 7848\n running total = 7848\nSo F = 7848 centiNewtons = 78.48 N.\nFinal: \\boxed{78.48}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n dypi ucqw bcqdwi brcoo\n### Reasoning:\n<|cot_start|>Cipher text: dypi ucqw bcqdwi brcoo\nTry each candidate Wonderland word against each ciphertext word:\n cipher='dypi' candidate='alice' length-match=False\n cipher='dypi' candidate='rabbit' length-match=False\n cipher='dypi' candidate='hatter' length-match=False\n cipher='dypi' candidate='cheshire' length-match=False\n cipher='dypi' candidate='queen' length-match=False\n cipher='dypi' candidate='tea' length-match=False\n cipher='dypi' candidate='cake' length-match=True\n cipher='dypi' candidate='garden' length-match=False\n cipher='dypi' candidate='mushroom' length-match=False\n cipher='dypi' candidate='card' length-match=True\n cipher='dypi' candidate='card' length-match=True\n cipher='dypi' candidate='wonderland' length-match=False\n cipher='dypi' candidate='white' length-match=False\n cipher='dypi' candidate='down' length-match=True <- assign\n cipher='dypi' candidate='smile' length-match=False\n cipher='dypi' candidate='smiled' length-match=False\n cipher='dypi' candidate='looking' length-match=False\n cipher='dypi' candidate='glass' length-match=False\n cipher='dypi' candidate='march' length-match=False\n cipher='dypi' candidate='hare' length-match=True\n cipher='dypi' candidate='dormouse' length-match=False\n cipher='ucqw' candidate='alice' length-match=False\n cipher='ucqw' candidate='rabbit' length-match=False\n cipher='ucqw' candidate='hatter' length-match=False\n cipher='ucqw' candidate='cheshire' length-match=False\n cipher='ucqw' candidate='queen' length-match=False\n cipher='ucqw' candidate='tea' length-match=False\n cipher='ucqw' candidate='cake' length-match=True\n cipher='ucqw' candidate='garden' length-match=False\n cipher='ucqw' candidate='mushroom' length-match=False\n cipher='ucqw' candidate='card' length-match=True\n cipher='ucqw' candidate='card' length-match=True\n cipher='ucqw' candidate='wonderland' length-match=False\n cipher='ucqw' candidate='white' length-match=False\n cipher='ucqw' candidate='down' length-match=True\n cipher='ucqw' candidate='smile' length-match=False\n cipher='ucqw' candidate='smiled' length-match=False\n cipher='ucqw' candidate='looking' length-match=False\n cipher='ucqw' candidate='glass' length-match=False\n cipher='ucqw' candidate='march' length-match=False\n cipher='ucqw' candidate='hare' length-match=True <- assign\n cipher='ucqw' candidate='dormouse' length-match=False\n cipher='bcqdwi' candidate='alice' length-match=False\n cipher='bcqdwi' candidate='rabbit' length-match=True\n cipher='bcqdwi' candidate='hatter' length-match=True\n cipher='bcqdwi' candidate='cheshire' length-match=False\n cipher='bcqdwi' candidate='queen' length-match=False\n cipher='bcqdwi' candidate='tea' length-match=False\n cipher='bcqdwi' candidate='cake' length-match=False\n cipher='bcqdwi' candidate='garden' length-match=True <- assign\n cipher='bcqdwi' candidate='mushroom' length-match=False\n cipher='bcqdwi' candidate='card' length-match=False\n cipher='bcqdwi' candidate='card' length-match=False\n cipher='bcqdwi' candidate='wonderland' length-match=False\n cipher='bcqdwi' candidate='white' length-match=False\n cipher='bcqdwi' candidate='down' length-match=False\n cipher='bcqdwi' candidate='smile' length-match=False\n cipher='bcqdwi' candidate='smiled' length-match=True\n cipher='bcqdwi' candidate='looking' length-match=False\n cipher='bcqdwi' candidate='glass' length-match=False\n cipher='bcqdwi' candidate='march' length-match=False\n cipher='bcqdwi' candidate='hare' length-match=False\n cipher='bcqdwi' candidate='dormouse' length-match=False\n cipher='brcoo' candidate='alice' length-match=True\n cipher='brcoo' candidate='rabbit' length-match=False\n cipher='brcoo' candidate='hatter' length-match=False\n cipher='brcoo' candidate='cheshire' length-match=False\n cipher='brcoo' candidate='queen' length-match=True\n cipher='brcoo' candidate='tea' length-match=False\n cipher='brcoo' candidate='cake' length-match=False\n cipher='brcoo' candidate='garden' length-match=False\n cipher='brcoo' candidate='mushroom' length-match=False\n cipher='brcoo' candidate='card' length-match=False\n cipher='brcoo' candidate='card' length-match=False\n cipher='brcoo' candidate='wonderland' length-match=False\n cipher='brcoo' candidate='white' length-match=True\n cipher='brcoo' candidate='down' length-match=False\n cipher='brcoo' candidate='smile' length-match=True\n cipher='brcoo' candidate='smiled' length-match=False\n cipher='brcoo' candidate='looking' length-match=False\n cipher='brcoo' candidate='glass' length-match=True <- assign\n cipher='brcoo' candidate='march' length-match=True\n cipher='brcoo' candidate='hare' length-match=False\n cipher='brcoo' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n down hare garden glass\nFinal: \\boxed{down hare garden glass}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10100011 -> 00000011\n 00000101 -> 00000101\n 10000000 -> 00000000\nApply to: 11010111\n### Reasoning:\n<|cot_start|>Given examples:\n 10100011 -> 00000011\n 00000101 -> 00000101\n 10000000 -> 00000000\nCompare each bit position across the three examples:\n bit 0: 1,0,1 -> 0,0,0\n bit 1: 0,0,0 -> 0,0,0\n bit 2: 1,0,0 -> 0,0,0\n bit 3: 0,0,0 -> 0,0,0\n bit 4: 0,0,0 -> 0,0,0\n bit 5: 0,1,0 -> 0,1,0\n bit 6: 1,0,0 -> 1,0,0\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: and 0x0F.\nApply to 11010111:\n result = 00000111\nFinal: \\boxed{00000111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n V = 5 -> 50 + 5 = 55\n I = 1 -> 55 + 1 = 56\n I = 1 -> 56 + 1 = 57\nFinal: \\boxed{57}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 29 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 29 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 9 * 10^0 * 981 = 8829\n running total = 28449\nSo F = 28449 centiNewtons = 284.49 N.\nFinal: \\boxed{284.49}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n ofzsfnab asdibo uidwb cuzobh\n### Reasoning:\n<|cot_start|>Cipher text: ofzsfnab asdibo uidwb cuzobh\nTry each candidate Wonderland word against each ciphertext word:\n cipher='ofzsfnab' candidate='alice' length-match=False\n cipher='ofzsfnab' candidate='rabbit' length-match=False\n cipher='ofzsfnab' candidate='hatter' length-match=False\n cipher='ofzsfnab' candidate='cheshire' length-match=True\n cipher='ofzsfnab' candidate='queen' length-match=False\n cipher='ofzsfnab' candidate='tea' length-match=False\n cipher='ofzsfnab' candidate='cake' length-match=False\n cipher='ofzsfnab' candidate='garden' length-match=False\n cipher='ofzsfnab' candidate='mushroom' length-match=True\n cipher='ofzsfnab' candidate='card' length-match=False\n cipher='ofzsfnab' candidate='card' length-match=False\n cipher='ofzsfnab' candidate='wonderland' length-match=False\n cipher='ofzsfnab' candidate='white' length-match=False\n cipher='ofzsfnab' candidate='down' length-match=False\n cipher='ofzsfnab' candidate='smile' length-match=False\n cipher='ofzsfnab' candidate='smiled' length-match=False\n cipher='ofzsfnab' candidate='looking' length-match=False\n cipher='ofzsfnab' candidate='glass' length-match=False\n cipher='ofzsfnab' candidate='march' length-match=False\n cipher='ofzsfnab' candidate='hare' length-match=False\n cipher='ofzsfnab' candidate='dormouse' length-match=True <- assign\n cipher='asdibo' candidate='alice' length-match=False\n cipher='asdibo' candidate='rabbit' length-match=True\n cipher='asdibo' candidate='hatter' length-match=True\n cipher='asdibo' candidate='cheshire' length-match=False\n cipher='asdibo' candidate='queen' length-match=False\n cipher='asdibo' candidate='tea' length-match=False\n cipher='asdibo' candidate='cake' length-match=False\n cipher='asdibo' candidate='garden' length-match=True\n cipher='asdibo' candidate='mushroom' length-match=False\n cipher='asdibo' candidate='card' length-match=False\n cipher='asdibo' candidate='card' length-match=False\n cipher='asdibo' candidate='wonderland' length-match=False\n cipher='asdibo' candidate='white' length-match=False\n cipher='asdibo' candidate='down' length-match=False\n cipher='asdibo' candidate='smile' length-match=False\n cipher='asdibo' candidate='smiled' length-match=True <- assign\n cipher='asdibo' candidate='looking' length-match=False\n cipher='asdibo' candidate='glass' length-match=False\n cipher='asdibo' candidate='march' length-match=False\n cipher='asdibo' candidate='hare' length-match=False\n cipher='asdibo' candidate='dormouse' length-match=False\n cipher='uidwb' candidate='alice' length-match=True <- assign\n cipher='uidwb' candidate='rabbit' length-match=False\n cipher='uidwb' candidate='hatter' length-match=False\n cipher='uidwb' candidate='cheshire' length-match=False\n cipher='uidwb' candidate='queen' length-match=True\n cipher='uidwb' candidate='tea' length-match=False\n cipher='uidwb' candidate='cake' length-match=False\n cipher='uidwb' candidate='garden' length-match=False\n cipher='uidwb' candidate='mushroom' length-match=False\n cipher='uidwb' candidate='card' length-match=False\n cipher='uidwb' candidate='card' length-match=False\n cipher='uidwb' candidate='wonderland' length-match=False\n cipher='uidwb' candidate='white' length-match=True\n cipher='uidwb' candidate='down' length-match=False\n cipher='uidwb' candidate='smile' length-match=True\n cipher='uidwb' candidate='smiled' length-match=False\n cipher='uidwb' candidate='looking' length-match=False\n cipher='uidwb' candidate='glass' length-match=True\n cipher='uidwb' candidate='march' length-match=True\n cipher='uidwb' candidate='hare' length-match=False\n cipher='uidwb' candidate='dormouse' length-match=False\n cipher='cuzobh' candidate='alice' length-match=False\n cipher='cuzobh' candidate='rabbit' length-match=True\n cipher='cuzobh' candidate='hatter' length-match=True\n cipher='cuzobh' candidate='cheshire' length-match=False\n cipher='cuzobh' candidate='queen' length-match=False\n cipher='cuzobh' candidate='tea' length-match=False\n cipher='cuzobh' candidate='cake' length-match=False\n cipher='cuzobh' candidate='garden' length-match=True <- assign\n cipher='cuzobh' candidate='mushroom' length-match=False\n cipher='cuzobh' candidate='card' length-match=False\n cipher='cuzobh' candidate='card' length-match=False\n cipher='cuzobh' candidate='wonderland' length-match=False\n cipher='cuzobh' candidate='white' length-match=False\n cipher='cuzobh' candidate='down' length-match=False\n cipher='cuzobh' candidate='smile' length-match=False\n cipher='cuzobh' candidate='smiled' length-match=True\n cipher='cuzobh' candidate='looking' length-match=False\n cipher='cuzobh' candidate='glass' length-match=False\n cipher='cuzobh' candidate='march' length-match=False\n cipher='cuzobh' candidate='hare' length-match=False\n cipher='cuzobh' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n dormouse smiled alice garden\nFinal: \\boxed{dormouse smiled alice garden}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n I = 1 -> 40 + 1 = 41\nFinal: \\boxed{41}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 65 kilometres to metres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.\nSo 65 kilometres = 65 * 1000 metres.\nCompute step by step:\n 6 * 10^1 * 1000 = 60000\n running total = 60000\n 5 * 10^0 * 1000 = 5000\n running total = 65000\nFinal: \\boxed{65000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 41,30 -> 64\n 93,93 -> 576\n 23,24 -> 121\nApply to: 78,87\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 41,30: '+' gives 71; target=64 no\n 41,30: '-' gives 11; target=64 no\n 41,30: '*' gives 1230; target=64 no\n 41,30: 'concat' gives 4130; target=64 no\n 41,30: 'rev_concat' gives 3041; target=64 no\n 41,30: 'max*min+sum' gives 1301; target=64 no\n 41,30: 'digitsum2' gives 64; target=64 MATCH\n 93,93: '+' gives 186; target=576 no\n 93,93: '-' gives 0; target=576 no\n 93,93: '*' gives 8649; target=576 no\n 93,93: 'concat' gives 9393; target=576 no\n 93,93: 'rev_concat' gives 9393; target=576 no\n 93,93: 'max*min+sum' gives 8835; target=576 no\n 93,93: 'digitsum2' gives 576; target=576 MATCH\n 23,24: '+' gives 47; target=121 no\n 23,24: '-' gives 1; target=121 no\n 23,24: '*' gives 552; target=121 no\n 23,24: 'concat' gives 2324; target=121 no\n 23,24: 'rev_concat' gives 2423; target=121 no\n 23,24: 'max*min+sum' gives 599; target=121 no\n 23,24: 'digitsum2' gives 121; target=121 MATCH\nThe only operator consistent with all examples is 'digitsum2'.\nApply to (78, 87):\n result = 900\nFinal: \\boxed{900}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n rjdei zrttdg przi uqiis\n### Reasoning:\n<|cot_start|>Cipher text: rjdei zrttdg przi uqiis\nTry each candidate Wonderland word against each ciphertext word:\n cipher='rjdei' candidate='alice' length-match=True <- assign\n cipher='rjdei' candidate='rabbit' length-match=False\n cipher='rjdei' candidate='hatter' length-match=False\n cipher='rjdei' candidate='cheshire' length-match=False\n cipher='rjdei' candidate='queen' length-match=True\n cipher='rjdei' candidate='tea' length-match=False\n cipher='rjdei' candidate='cake' length-match=False\n cipher='rjdei' candidate='garden' length-match=False\n cipher='rjdei' candidate='mushroom' length-match=False\n cipher='rjdei' candidate='card' length-match=False\n cipher='rjdei' candidate='card' length-match=False\n cipher='rjdei' candidate='wonderland' length-match=False\n cipher='rjdei' candidate='white' length-match=True\n cipher='rjdei' candidate='down' length-match=False\n cipher='rjdei' candidate='smile' length-match=True\n cipher='rjdei' candidate='smiled' length-match=False\n cipher='rjdei' candidate='looking' length-match=False\n cipher='rjdei' candidate='glass' length-match=True\n cipher='rjdei' candidate='march' length-match=True\n cipher='rjdei' candidate='hare' length-match=False\n cipher='rjdei' candidate='dormouse' length-match=False\n cipher='zrttdg' candidate='alice' length-match=False\n cipher='zrttdg' candidate='rabbit' length-match=True <- assign\n cipher='zrttdg' candidate='hatter' length-match=True\n cipher='zrttdg' candidate='cheshire' length-match=False\n cipher='zrttdg' candidate='queen' length-match=False\n cipher='zrttdg' candidate='tea' length-match=False\n cipher='zrttdg' candidate='cake' length-match=False\n cipher='zrttdg' candidate='garden' length-match=True\n cipher='zrttdg' candidate='mushroom' length-match=False\n cipher='zrttdg' candidate='card' length-match=False\n cipher='zrttdg' candidate='card' length-match=False\n cipher='zrttdg' candidate='wonderland' length-match=False\n cipher='zrttdg' candidate='white' length-match=False\n cipher='zrttdg' candidate='down' length-match=False\n cipher='zrttdg' candidate='smile' length-match=False\n cipher='zrttdg' candidate='smiled' length-match=True\n cipher='zrttdg' candidate='looking' length-match=False\n cipher='zrttdg' candidate='glass' length-match=False\n cipher='zrttdg' candidate='march' length-match=False\n cipher='zrttdg' candidate='hare' length-match=False\n cipher='zrttdg' candidate='dormouse' length-match=False\n cipher='przi' candidate='alice' length-match=False\n cipher='przi' candidate='rabbit' length-match=False\n cipher='przi' candidate='hatter' length-match=False\n cipher='przi' candidate='cheshire' length-match=False\n cipher='przi' candidate='queen' length-match=False\n cipher='przi' candidate='tea' length-match=False\n cipher='przi' candidate='cake' length-match=True\n cipher='przi' candidate='garden' length-match=False\n cipher='przi' candidate='mushroom' length-match=False\n cipher='przi' candidate='card' length-match=True\n cipher='przi' candidate='card' length-match=True\n cipher='przi' candidate='wonderland' length-match=False\n cipher='przi' candidate='white' length-match=False\n cipher='przi' candidate='down' length-match=True\n cipher='przi' candidate='smile' length-match=False\n cipher='przi' candidate='smiled' length-match=False\n cipher='przi' candidate='looking' length-match=False\n cipher='przi' candidate='glass' length-match=False\n cipher='przi' candidate='march' length-match=False\n cipher='przi' candidate='hare' length-match=True <- assign\n cipher='przi' candidate='dormouse' length-match=False\n cipher='uqiis' candidate='alice' length-match=True\n cipher='uqiis' candidate='rabbit' length-match=False\n cipher='uqiis' candidate='hatter' length-match=False\n cipher='uqiis' candidate='cheshire' length-match=False\n cipher='uqiis' candidate='queen' length-match=True <- assign\n cipher='uqiis' candidate='tea' length-match=False\n cipher='uqiis' candidate='cake' length-match=False\n cipher='uqiis' candidate='garden' length-match=False\n cipher='uqiis' candidate='mushroom' length-match=False\n cipher='uqiis' candidate='card' length-match=False\n cipher='uqiis' candidate='card' length-match=False\n cipher='uqiis' candidate='wonderland' length-match=False\n cipher='uqiis' candidate='white' length-match=True\n cipher='uqiis' candidate='down' length-match=False\n cipher='uqiis' candidate='smile' length-match=True\n cipher='uqiis' candidate='smiled' length-match=False\n cipher='uqiis' candidate='looking' length-match=False\n cipher='uqiis' candidate='glass' length-match=True\n cipher='uqiis' candidate='march' length-match=True\n cipher='uqiis' candidate='hare' length-match=False\n cipher='uqiis' candidate='dormouse' length-match=False\nAssemble the decoded sentence:\n alice rabbit hare queen\nFinal: \\boxed{alice rabbit hare queen}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 40,20 -> 4020\n 77,43 -> 7743\n 23,16 -> 2316\nApply to: 58,21\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 40,20: '+' gives 60; target=4020 no\n 40,20: '-' gives 20; target=4020 no\n 40,20: '*' gives 800; target=4020 no\n 40,20: 'concat' gives 4020; target=4020 MATCH\n 40,20: 'rev_concat' gives 2040; target=4020 no\n 40,20: 'max*min+sum' gives 860; target=4020 no\n 40,20: 'digitsum2' gives 36; target=4020 no\n 77,43: '+' gives 120; target=7743 no\n 77,43: '-' gives 34; target=7743 no\n 77,43: '*' gives 3311; target=7743 no\n 77,43: 'concat' gives 7743; target=7743 MATCH\n 77,43: 'rev_concat' gives 4377; target=7743 no\n 77,43: 'max*min+sum' gives 3431; target=7743 no\n 77,43: 'digitsum2' gives 441; target=7743 no\n 23,16: '+' gives 39; target=2316 no\n 23,16: '-' gives 7; target=2316 no\n 23,16: '*' gives 368; target=2316 no\n 23,16: 'concat' gives 2316; target=2316 MATCH\n 23,16: 'rev_concat' gives 1623; target=2316 no\n 23,16: 'max*min+sum' gives 407; target=2316 no\n 23,16: 'digitsum2' gives 144; target=2316 no\nThe only operator consistent with all examples is 'concat'.\nApply to (58, 21):\n result = 5821\nFinal: \\boxed{5821}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10101101 -> 01011011\n 10000101 -> 00001011\n 00110111 -> 01101110\nApply to: 00001111\n### Reasoning:\n<|cot_start|>Given examples:\n 10101101 -> 01011011\n 10000101 -> 00001011\n 00110111 -> 01101110\nCompare each bit position across the three examples:\n bit 0: 1,1,0 -> 0,0,0\n bit 1: 0,0,0 -> 1,0,1\n bit 2: 1,0,1 -> 0,0,1\n bit 3: 0,0,1 -> 1,0,0\n bit 4: 1,0,0 -> 1,1,1\n bit 5: 1,1,1 -> 0,0,1\n bit 6: 0,0,1 -> 1,1,1\n bit 7: 1,1,1 -> 1,1,0\nDeduce rule: rotate left 1.\nApply to 00001111:\n result = 00011110\nFinal: \\boxed{00011110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 18 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 18 * 981.\nStep-by-step multiplication:\n 1 * 10^1 * 981 = 9810\n running total = 9810\n 8 * 10^0 * 981 = 7848\n running total = 17658\nSo F = 17658 centiNewtons = 176.58 N.\nFinal: \\boxed{176.58}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 30 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 30 * 981.\nStep-by-step multiplication:\n 3 * 10^1 * 981 = 29430\n running total = 29430\n 0 * 10^0 * 981 = 0\n running total = 29430\nSo F = 29430 centiNewtons = 294.30 N.\nFinal: \\boxed{294.30}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01101010 -> 01010110\n 10000011 -> 11000001\n 11000100 -> 00100011\nApply to: 01110101\n### Reasoning:\n<|cot_start|>Given examples:\n 01101010 -> 01010110\n 10000011 -> 11000001\n 11000100 -> 00100011\nCompare each bit position across the three examples:\n bit 0: 0,1,1 -> 0,1,0\n bit 1: 1,0,1 -> 1,1,0\n bit 2: 1,0,0 -> 0,0,1\n bit 3: 0,0,0 -> 1,0,0\n bit 4: 1,0,0 -> 0,0,0\n bit 5: 0,0,1 -> 1,0,0\n bit 6: 1,1,0 -> 1,0,1\n bit 7: 0,1,0 -> 0,1,1\nDeduce rule: reverse bits.\nApply to 01110101:\n result = 10101110\nFinal: \\boxed{10101110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n xbol rvih rvmcvagl cagsmvvc\n### Reasoning:\n<|cot_start|>Cipher text: xbol rvih rvmcvagl cagsmvvc\nTry each candidate Wonderland word against each ciphertext word:\n cipher='xbol' candidate='alice' length-match=False\n cipher='xbol' candidate='rabbit' length-match=False\n cipher='xbol' candidate='hatter' length-match=False\n cipher='xbol' candidate='cheshire' length-match=False\n cipher='xbol' candidate='queen' length-match=False\n cipher='xbol' candidate='tea' length-match=False\n cipher='xbol' candidate='cake' length-match=True <- assign\n cipher='xbol' candidate='garden' length-match=False\n cipher='xbol' candidate='mushroom' length-match=False\n cipher='xbol' candidate='card' length-match=True\n cipher='xbol' candidate='card' length-match=True\n cipher='xbol' candidate='wonderland' length-match=False\n cipher='xbol' candidate='white' length-match=False\n cipher='xbol' candidate='down' length-match=True\n cipher='xbol' candidate='smile' length-match=False\n cipher='xbol' candidate='smiled' length-match=False\n cipher='xbol' candidate='looking' length-match=False\n cipher='xbol' candidate='glass' length-match=False\n cipher='xbol' candidate='march' length-match=False\n cipher='xbol' candidate='hare' length-match=True\n cipher='xbol' candidate='dormouse' length-match=False\n cipher='rvih' candidate='alice' length-match=False\n cipher='rvih' candidate='rabbit' length-match=False\n cipher='rvih' candidate='hatter' length-match=False\n cipher='rvih' candidate='cheshire' length-match=False\n cipher='rvih' candidate='queen' length-match=False\n cipher='rvih' candidate='tea' length-match=False\n cipher='rvih' candidate='cake' length-match=True\n cipher='rvih' candidate='garden' length-match=False\n cipher='rvih' candidate='mushroom' length-match=False\n cipher='rvih' candidate='card' length-match=True\n cipher='rvih' candidate='card' length-match=True\n cipher='rvih' candidate='wonderland' length-match=False\n cipher='rvih' candidate='white' length-match=False\n cipher='rvih' candidate='down' length-match=True <- assign\n cipher='rvih' candidate='smile' length-match=False\n cipher='rvih' candidate='smiled' length-match=False\n cipher='rvih' candidate='looking' length-match=False\n cipher='rvih' candidate='glass' length-match=False\n cipher='rvih' candidate='march' length-match=False\n cipher='rvih' candidate='hare' length-match=True\n cipher='rvih' candidate='dormouse' length-match=False\n cipher='rvmcvagl' candidate='alice' length-match=False\n cipher='rvmcvagl' candidate='rabbit' length-match=False\n cipher='rvmcvagl' candidate='hatter' length-match=False\n cipher='rvmcvagl' candidate='cheshire' length-match=True\n cipher='rvmcvagl' candidate='queen' length-match=False\n cipher='rvmcvagl' candidate='tea' length-match=False\n cipher='rvmcvagl' candidate='cake' length-match=False\n cipher='rvmcvagl' candidate='garden' length-match=False\n cipher='rvmcvagl' candidate='mushroom' length-match=True\n cipher='rvmcvagl' candidate='card' length-match=False\n cipher='rvmcvagl' candidate='card' length-match=False\n cipher='rvmcvagl' candidate='wonderland' length-match=False\n cipher='rvmcvagl' candidate='white' length-match=False\n cipher='rvmcvagl' candidate='down' length-match=False\n cipher='rvmcvagl' candidate='smile' length-match=False\n cipher='rvmcvagl' candidate='smiled' length-match=False\n cipher='rvmcvagl' candidate='looking' length-match=False\n cipher='rvmcvagl' candidate='glass' length-match=False\n cipher='rvmcvagl' candidate='march' length-match=False\n cipher='rvmcvagl' candidate='hare' length-match=False\n cipher='rvmcvagl' candidate='dormouse' length-match=True <- assign\n cipher='cagsmvvc' candidate='alice' length-match=False\n cipher='cagsmvvc' candidate='rabbit' length-match=False\n cipher='cagsmvvc' candidate='hatter' length-match=False\n cipher='cagsmvvc' candidate='cheshire' length-match=True\n cipher='cagsmvvc' candidate='queen' length-match=False\n cipher='cagsmvvc' candidate='tea' length-match=False\n cipher='cagsmvvc' candidate='cake' length-match=False\n cipher='cagsmvvc' candidate='garden' length-match=False\n cipher='cagsmvvc' candidate='mushroom' length-match=True <- assign\n cipher='cagsmvvc' candidate='card' length-match=False\n cipher='cagsmvvc' candidate='card' length-match=False\n cipher='cagsmvvc' candidate='wonderland' length-match=False\n cipher='cagsmvvc' candidate='white' length-match=False\n cipher='cagsmvvc' candidate='down' length-match=False\n cipher='cagsmvvc' candidate='smile' length-match=False\n cipher='cagsmvvc' candidate='smiled' length-match=False\n cipher='cagsmvvc' candidate='looking' length-match=False\n cipher='cagsmvvc' candidate='glass' length-match=False\n cipher='cagsmvvc' candidate='march' length-match=False\n cipher='cagsmvvc' candidate='hare' length-match=False\n cipher='cagsmvvc' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n cake down dormouse mushroom\nFinal: \\boxed{cake down dormouse mushroom}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 5 metres to centimetres.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 metres = 100 centimetres.\nSo 5 metres = 5 * 100 centimetres.\nCompute step by step:\n 5 * 10^0 * 100 = 500\n running total = 500\nFinal: \\boxed{500}\n", "sup_sentinel": "<|cot_start|>"} {"task": "unit", "text": "### Task: unit\n### Problem:\nConvert 68 kilograms to grams.\n### Reasoning:\n<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.\nSo 68 kilograms = 68 * 1000 grams.\nCompute step by step:\n 6 * 10^1 * 1000 = 60000\n running total = 60000\n 8 * 10^0 * 1000 = 8000\n running total = 68000\nFinal: \\boxed{68000}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral XLVI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n XL = 40 -> 0 + 40 = 40\n V = 5 -> 40 + 5 = 45\n I = 1 -> 45 + 1 = 46\nFinal: \\boxed{46}\n", "sup_sentinel": "<|cot_start|>"} {"task": "equation", "text": "### Task: equation\n### Problem:\nDiscover the operator from examples then apply it:\n 81,90 -> 9\n 66,89 -> 23\n 98,56 -> 42\nApply to: 15,92\n### Reasoning:\n<|cot_start|>Test candidate operators on the examples:\n 81,90: '+' gives 171; target=9 no\n 81,90: '-' gives 9; target=9 MATCH\n 81,90: '*' gives 7290; target=9 no\n 81,90: 'concat' gives 8190; target=9 no\n 81,90: 'rev_concat' gives 9081; target=9 no\n 81,90: 'max*min+sum' gives 7461; target=9 no\n 81,90: 'digitsum2' gives 324; target=9 no\n 66,89: '+' gives 155; target=23 no\n 66,89: '-' gives 23; target=23 MATCH\n 66,89: '*' gives 5874; target=23 no\n 66,89: 'concat' gives 6689; target=23 no\n 66,89: 'rev_concat' gives 8966; target=23 no\n 66,89: 'max*min+sum' gives 6029; target=23 no\n 66,89: 'digitsum2' gives 841; target=23 no\n 98,56: '+' gives 154; target=42 no\n 98,56: '-' gives 42; target=42 MATCH\n 98,56: '*' gives 5488; target=42 no\n 98,56: 'concat' gives 9856; target=42 no\n 98,56: 'rev_concat' gives 5698; target=42 no\n 98,56: 'max*min+sum' gives 5642; target=42 no\n 98,56: 'digitsum2' gives 784; target=42 no\nThe only operator consistent with all examples is '-'.\nApply to (15, 92):\n result = 77\nFinal: \\boxed{77}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 10111101 -> 00001101\n 10011011 -> 00001011\n 11010110 -> 00000110\nApply to: 01010111\n### Reasoning:\n<|cot_start|>Given examples:\n 10111101 -> 00001101\n 10011011 -> 00001011\n 11010110 -> 00000110\nCompare each bit position across the three examples:\n bit 0: 1,1,1 -> 0,0,0\n bit 1: 0,0,1 -> 0,0,0\n bit 2: 1,0,0 -> 0,0,0\n bit 3: 1,1,1 -> 0,0,0\n bit 4: 1,1,0 -> 1,1,0\n bit 5: 1,0,1 -> 1,0,1\n bit 6: 0,1,1 -> 0,1,1\n bit 7: 1,1,0 -> 1,1,0\nDeduce rule: and 0x0F.\nApply to 01010111:\n result = 00000111\nFinal: \\boxed{00000111}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 01101000 -> 11010000\n 00100010 -> 01000100\n 11111011 -> 11110111\nApply to: 01000011\n### Reasoning:\n<|cot_start|>Given examples:\n 01101000 -> 11010000\n 00100010 -> 01000100\n 11111011 -> 11110111\nCompare each bit position across the three examples:\n bit 0: 0,0,1 -> 1,0,1\n bit 1: 1,0,1 -> 1,1,1\n bit 2: 1,1,1 -> 0,0,1\n bit 3: 0,0,1 -> 1,0,1\n bit 4: 1,0,1 -> 0,0,0\n bit 5: 0,0,0 -> 0,1,1\n bit 6: 0,1,1 -> 0,0,1\n bit 7: 0,0,1 -> 0,0,1\nDeduce rule: rotate left 1.\nApply to 01000011:\n result = 10000110\nFinal: \\boxed{10000110}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral LXVII to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n L = 50 -> 0 + 50 = 50\n X = 10 -> 50 + 10 = 60\n V = 5 -> 60 + 5 = 65\n I = 1 -> 65 + 1 = 66\n I = 1 -> 66 + 1 = 67\nFinal: \\boxed{67}\n", "sup_sentinel": "<|cot_start|>"} {"task": "numeral", "text": "### Task: numeral\n### Problem:\nConvert the Roman numeral VI to an integer.\n### Reasoning:\n<|cot_start|>Reading symbols one by one:\n V = 5 -> 0 + 5 = 5\n I = 1 -> 5 + 1 = 6\nFinal: \\boxed{6}\n", "sup_sentinel": "<|cot_start|>"} {"task": "cipher", "text": "### Task: cipher\n### Problem:\nDecode the following substitution cipher (Wonderland themed):\n digxat wqpt fqpa wfadfgpa\n### Reasoning:\n<|cot_start|>Cipher text: digxat wqpt fqpa wfadfgpa\nTry each candidate Wonderland word against each ciphertext word:\n cipher='digxat' candidate='alice' length-match=False\n cipher='digxat' candidate='rabbit' length-match=True\n cipher='digxat' candidate='hatter' length-match=True\n cipher='digxat' candidate='cheshire' length-match=False\n cipher='digxat' candidate='queen' length-match=False\n cipher='digxat' candidate='tea' length-match=False\n cipher='digxat' candidate='cake' length-match=False\n cipher='digxat' candidate='garden' length-match=True\n cipher='digxat' candidate='mushroom' length-match=False\n cipher='digxat' candidate='card' length-match=False\n cipher='digxat' candidate='card' length-match=False\n cipher='digxat' candidate='wonderland' length-match=False\n cipher='digxat' candidate='white' length-match=False\n cipher='digxat' candidate='down' length-match=False\n cipher='digxat' candidate='smile' length-match=False\n cipher='digxat' candidate='smiled' length-match=True <- assign\n cipher='digxat' candidate='looking' length-match=False\n cipher='digxat' candidate='glass' length-match=False\n cipher='digxat' candidate='march' length-match=False\n cipher='digxat' candidate='hare' length-match=False\n cipher='digxat' candidate='dormouse' length-match=False\n cipher='wqpt' candidate='alice' length-match=False\n cipher='wqpt' candidate='rabbit' length-match=False\n cipher='wqpt' candidate='hatter' length-match=False\n cipher='wqpt' candidate='cheshire' length-match=False\n cipher='wqpt' candidate='queen' length-match=False\n cipher='wqpt' candidate='tea' length-match=False\n cipher='wqpt' candidate='cake' length-match=True\n cipher='wqpt' candidate='garden' length-match=False\n cipher='wqpt' candidate='mushroom' length-match=False\n cipher='wqpt' candidate='card' length-match=True <- assign\n cipher='wqpt' candidate='card' length-match=True <- assign\n cipher='wqpt' candidate='wonderland' length-match=False\n cipher='wqpt' candidate='white' length-match=False\n cipher='wqpt' candidate='down' length-match=True\n cipher='wqpt' candidate='smile' length-match=False\n cipher='wqpt' candidate='smiled' length-match=False\n cipher='wqpt' candidate='looking' length-match=False\n cipher='wqpt' candidate='glass' length-match=False\n cipher='wqpt' candidate='march' length-match=False\n cipher='wqpt' candidate='hare' length-match=True\n cipher='wqpt' candidate='dormouse' length-match=False\n cipher='fqpa' candidate='alice' length-match=False\n cipher='fqpa' candidate='rabbit' length-match=False\n cipher='fqpa' candidate='hatter' length-match=False\n cipher='fqpa' candidate='cheshire' length-match=False\n cipher='fqpa' candidate='queen' length-match=False\n cipher='fqpa' candidate='tea' length-match=False\n cipher='fqpa' candidate='cake' length-match=True\n cipher='fqpa' candidate='garden' length-match=False\n cipher='fqpa' candidate='mushroom' length-match=False\n cipher='fqpa' candidate='card' length-match=True\n cipher='fqpa' candidate='card' length-match=True\n cipher='fqpa' candidate='wonderland' length-match=False\n cipher='fqpa' candidate='white' length-match=False\n cipher='fqpa' candidate='down' length-match=True\n cipher='fqpa' candidate='smile' length-match=False\n cipher='fqpa' candidate='smiled' length-match=False\n cipher='fqpa' candidate='looking' length-match=False\n cipher='fqpa' candidate='glass' length-match=False\n cipher='fqpa' candidate='march' length-match=False\n cipher='fqpa' candidate='hare' length-match=True <- assign\n cipher='fqpa' candidate='dormouse' length-match=False\n cipher='wfadfgpa' candidate='alice' length-match=False\n cipher='wfadfgpa' candidate='rabbit' length-match=False\n cipher='wfadfgpa' candidate='hatter' length-match=False\n cipher='wfadfgpa' candidate='cheshire' length-match=True <- assign\n cipher='wfadfgpa' candidate='queen' length-match=False\n cipher='wfadfgpa' candidate='tea' length-match=False\n cipher='wfadfgpa' candidate='cake' length-match=False\n cipher='wfadfgpa' candidate='garden' length-match=False\n cipher='wfadfgpa' candidate='mushroom' length-match=True\n cipher='wfadfgpa' candidate='card' length-match=False\n cipher='wfadfgpa' candidate='card' length-match=False\n cipher='wfadfgpa' candidate='wonderland' length-match=False\n cipher='wfadfgpa' candidate='white' length-match=False\n cipher='wfadfgpa' candidate='down' length-match=False\n cipher='wfadfgpa' candidate='smile' length-match=False\n cipher='wfadfgpa' candidate='smiled' length-match=False\n cipher='wfadfgpa' candidate='looking' length-match=False\n cipher='wfadfgpa' candidate='glass' length-match=False\n cipher='wfadfgpa' candidate='march' length-match=False\n cipher='wfadfgpa' candidate='hare' length-match=False\n cipher='wfadfgpa' candidate='dormouse' length-match=True\nAssemble the decoded sentence:\n smiled card hare cheshire\nFinal: \\boxed{smiled card hare cheshire}\n", "sup_sentinel": "<|cot_start|>"} {"task": "bit", "text": "### Task: bit\n### Problem:\nDiscover the 8-bit transformation rule from examples then apply it.\nExamples:\n 00010100 -> 00101000\n 00010101 -> 10101000\n 00101110 -> 01110100\nApply to: 10111100\n### Reasoning:\n<|cot_start|>Given examples:\n 00010100 -> 00101000\n 00010101 -> 10101000\n 00101110 -> 01110100\nCompare each bit position across the three examples:\n bit 0: 0,0,0 -> 0,1,0\n bit 1: 0,0,0 -> 0,0,1\n bit 2: 0,0,1 -> 1,1,1\n bit 3: 1,1,0 -> 0,0,1\n bit 4: 0,0,1 -> 1,1,0\n bit 5: 1,1,1 -> 0,0,1\n bit 6: 0,0,1 -> 0,0,0\n bit 7: 0,1,0 -> 0,0,0\nDeduce rule: reverse bits.\nApply to 10111100:\n result = 00111101\nFinal: \\boxed{00111101}\n", "sup_sentinel": "<|cot_start|>"} {"task": "gravity", "text": "### Task: gravity\n### Problem:\nA mass of 26 kg is in free fall. Compute the gravitational force in Newtons (g = 9.81 m/s^2).\n### Reasoning:\n<|cot_start|>Use g = 9.81 m/s^2 (work in cN = 100x N to stay integer).\nF = m * g_cN = 26 * 981.\nStep-by-step multiplication:\n 2 * 10^1 * 981 = 19620\n running total = 19620\n 6 * 10^0 * 981 = 5886\n running total = 25506\nSo F = 25506 centiNewtons = 255.06 N.\nFinal: \\boxed{255.06}\n", "sup_sentinel": "<|cot_start|>"}