### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  dgrezxxd syzf fxco cewji
### Reasoning:
<|cot_start|>Cipher text: dgrezxxd syzf fxco cewji
Try each candidate Wonderland word against each ciphertext word:
  cipher='dgrezxxd' candidate='alice' length-match=False
  cipher='dgrezxxd' candidate='rabbit' length-match=False
  cipher='dgrezxxd' candidate='hatter' length-match=False
  cipher='dgrezxxd' candidate='cheshire' length-match=True
  cipher='dgrezxxd' candidate='queen' length-match=False
  cipher='dgrezxxd' candidate='tea' length-match=False
  cipher='dgrezxxd' candidate='cake' length-match=False
  cipher='dgrezxxd' candidate='garden' length-match=False
  cipher='dgrezxxd' candidate='mushroom' length-match=True  <- assign
  cipher='dgrezxxd' candidate='card' length-match=False
  cipher='dgrezxxd' candidate='card' length-match=False
  cipher='dgrezxxd' candidate='wonderland' length-match=False
  cipher='dgrezxxd' candidate='white' length-match=False
  cipher='dgrezxxd' candidate='down' length-match=False
  cipher='dgrezxxd' candidate='smile' length-match=False
  cipher='dgrezxxd' candidate='smiled' length-match=False
  cipher='dgrezxxd' candidate='looking' length-match=False
  cipher='dgrezxxd' candidate='glass' length-match=False
  cipher='dgrezxxd' candidate='march' length-match=False
  cipher='dgrezxxd' candidate='hare' length-match=False
  cipher='dgrezxxd' candidate='dormouse' length-match=True
  cipher='syzf' candidate='alice' length-match=False
  cipher='syzf' candidate='rabbit' length-match=False
  cipher='syzf' candidate='hatter' length-match=False
  cipher='syzf' candidate='cheshire' length-match=False
  cipher='syzf' candidate='queen' length-match=False
  cipher='syzf' candidate='tea' length-match=False
  cipher='syzf' candidate='cake' length-match=True
  cipher='syzf' candidate='garden' length-match=False
  cipher='syzf' candidate='mushroom' length-match=False
  cipher='syzf' candidate='card' length-match=True  <- assign
  cipher='syzf' candidate='card' length-match=True  <- assign
  cipher='syzf' candidate='wonderland' length-match=False
  cipher='syzf' candidate='white' length-match=False
  cipher='syzf' candidate='down' length-match=True
  cipher='syzf' candidate='smile' length-match=False
  cipher='syzf' candidate='smiled' length-match=False
  cipher='syzf' candidate='looking' length-match=False
  cipher='syzf' candidate='glass' length-match=False
  cipher='syzf' candidate='march' length-match=False
  cipher='syzf' candidate='hare' length-match=True
  cipher='syzf' candidate='dormouse' length-match=False
  cipher='fxco' candidate='alice' length-match=False
  cipher='fxco' candidate='rabbit' length-match=False
  cipher='fxco' candidate='hatter' length-match=False
  cipher='fxco' candidate='cheshire' length-match=False
  cipher='fxco' candidate='queen' length-match=False
  cipher='fxco' candidate='tea' length-match=False
  cipher='fxco' candidate='cake' length-match=True
  cipher='fxco' candidate='garden' length-match=False
  cipher='fxco' candidate='mushroom' length-match=False
  cipher='fxco' candidate='card' length-match=True
  cipher='fxco' candidate='card' length-match=True
  cipher='fxco' candidate='wonderland' length-match=False
  cipher='fxco' candidate='white' length-match=False
  cipher='fxco' candidate='down' length-match=True  <- assign
  cipher='fxco' candidate='smile' length-match=False
  cipher='fxco' candidate='smiled' length-match=False
  cipher='fxco' candidate='looking' length-match=False
  cipher='fxco' candidate='glass' length-match=False
  cipher='fxco' candidate='march' length-match=False
  cipher='fxco' candidate='hare' length-match=True
  cipher='fxco' candidate='dormouse' length-match=False
  cipher='cewji' candidate='alice' length-match=True
  cipher='cewji' candidate='rabbit' length-match=False
  cipher='cewji' candidate='hatter' length-match=False
  cipher='cewji' candidate='cheshire' length-match=False
  cipher='cewji' candidate='queen' length-match=True
  cipher='cewji' candidate='tea' length-match=False
  cipher='cewji' candidate='cake' length-match=False
  cipher='cewji' candidate='garden' length-match=False
  cipher='cewji' candidate='mushroom' length-match=False
  cipher='cewji' candidate='card' length-match=False
  cipher='cewji' candidate='card' length-match=False
  cipher='cewji' candidate='wonderland' length-match=False
  cipher='cewji' candidate='white' length-match=True  <- assign
  cipher='cewji' candidate='down' length-match=False
  cipher='cewji' candidate='smile' length-match=True
  cipher='cewji' candidate='smiled' length-match=False
  cipher='cewji' candidate='looking' length-match=False
  cipher='cewji' candidate='glass' length-match=True
  cipher='cewji' candidate='march' length-match=True
  cipher='cewji' candidate='hare' length-match=False
  cipher='cewji' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  mushroom card down white
Final: \boxed{mushroom card down white}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  zfpq efccxp ksnqxpgfnq zfox
### Reasoning:
<|cot_start|>Cipher text: zfpq efccxp ksnqxpgfnq zfox
Try each candidate Wonderland word against each ciphertext word:
  cipher='zfpq' candidate='alice' length-match=False
  cipher='zfpq' candidate='rabbit' length-match=False
  cipher='zfpq' candidate='hatter' length-match=False
  cipher='zfpq' candidate='cheshire' length-match=False
  cipher='zfpq' candidate='queen' length-match=False
  cipher='zfpq' candidate='tea' length-match=False
  cipher='zfpq' candidate='cake' length-match=True
  cipher='zfpq' candidate='garden' length-match=False
  cipher='zfpq' candidate='mushroom' length-match=False
  cipher='zfpq' candidate='card' length-match=True  <- assign
  cipher='zfpq' candidate='card' length-match=True  <- assign
  cipher='zfpq' candidate='wonderland' length-match=False
  cipher='zfpq' candidate='white' length-match=False
  cipher='zfpq' candidate='down' length-match=True
  cipher='zfpq' candidate='smile' length-match=False
  cipher='zfpq' candidate='smiled' length-match=False
  cipher='zfpq' candidate='looking' length-match=False
  cipher='zfpq' candidate='glass' length-match=False
  cipher='zfpq' candidate='march' length-match=False
  cipher='zfpq' candidate='hare' length-match=True
  cipher='zfpq' candidate='dormouse' length-match=False
  cipher='efccxp' candidate='alice' length-match=False
  cipher='efccxp' candidate='rabbit' length-match=True
  cipher='efccxp' candidate='hatter' length-match=True  <- assign
  cipher='efccxp' candidate='cheshire' length-match=False
  cipher='efccxp' candidate='queen' length-match=False
  cipher='efccxp' candidate='tea' length-match=False
  cipher='efccxp' candidate='cake' length-match=False
  cipher='efccxp' candidate='garden' length-match=True
  cipher='efccxp' candidate='mushroom' length-match=False
  cipher='efccxp' candidate='card' length-match=False
  cipher='efccxp' candidate='card' length-match=False
  cipher='efccxp' candidate='wonderland' length-match=False
  cipher='efccxp' candidate='white' length-match=False
  cipher='efccxp' candidate='down' length-match=False
  cipher='efccxp' candidate='smile' length-match=False
  cipher='efccxp' candidate='smiled' length-match=True
  cipher='efccxp' candidate='looking' length-match=False
  cipher='efccxp' candidate='glass' length-match=False
  cipher='efccxp' candidate='march' length-match=False
  cipher='efccxp' candidate='hare' length-match=False
  cipher='efccxp' candidate='dormouse' length-match=False
  cipher='ksnqxpgfnq' candidate='alice' length-match=False
  cipher='ksnqxpgfnq' candidate='rabbit' length-match=False
  cipher='ksnqxpgfnq' candidate='hatter' length-match=False
  cipher='ksnqxpgfnq' candidate='cheshire' length-match=False
  cipher='ksnqxpgfnq' candidate='queen' length-match=False
  cipher='ksnqxpgfnq' candidate='tea' length-match=False
  cipher='ksnqxpgfnq' candidate='cake' length-match=False
  cipher='ksnqxpgfnq' candidate='garden' length-match=False
  cipher='ksnqxpgfnq' candidate='mushroom' length-match=False
  cipher='ksnqxpgfnq' candidate='card' length-match=False
  cipher='ksnqxpgfnq' candidate='card' length-match=False
  cipher='ksnqxpgfnq' candidate='wonderland' length-match=True  <- assign
  cipher='ksnqxpgfnq' candidate='white' length-match=False
  cipher='ksnqxpgfnq' candidate='down' length-match=False
  cipher='ksnqxpgfnq' candidate='smile' length-match=False
  cipher='ksnqxpgfnq' candidate='smiled' length-match=False
  cipher='ksnqxpgfnq' candidate='looking' length-match=False
  cipher='ksnqxpgfnq' candidate='glass' length-match=False
  cipher='ksnqxpgfnq' candidate='march' length-match=False
  cipher='ksnqxpgfnq' candidate='hare' length-match=False
  cipher='ksnqxpgfnq' candidate='dormouse' length-match=False
  cipher='zfox' candidate='alice' length-match=False
  cipher='zfox' candidate='rabbit' length-match=False
  cipher='zfox' candidate='hatter' length-match=False
  cipher='zfox' candidate='cheshire' length-match=False
  cipher='zfox' candidate='queen' length-match=False
  cipher='zfox' candidate='tea' length-match=False
  cipher='zfox' candidate='cake' length-match=True  <- assign
  cipher='zfox' candidate='garden' length-match=False
  cipher='zfox' candidate='mushroom' length-match=False
  cipher='zfox' candidate='card' length-match=True
  cipher='zfox' candidate='card' length-match=True
  cipher='zfox' candidate='wonderland' length-match=False
  cipher='zfox' candidate='white' length-match=False
  cipher='zfox' candidate='down' length-match=True
  cipher='zfox' candidate='smile' length-match=False
  cipher='zfox' candidate='smiled' length-match=False
  cipher='zfox' candidate='looking' length-match=False
  cipher='zfox' candidate='glass' length-match=False
  cipher='zfox' candidate='march' length-match=False
  cipher='zfox' candidate='hare' length-match=True
  cipher='zfox' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  card hatter wonderland cake
Final: \boxed{card hatter wonderland cake}


### Task: unit
### Problem:
Convert 27 litres to millilitres.
### Reasoning:
<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.
So 27 litres = 27 * 1000 millilitres.
Compute step by step:
  2 * 10^1 * 1000 = 20000
  running total = 20000
  7 * 10^0 * 1000 = 7000
  running total = 27000
Final: \boxed{27000}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  11101111 -> 11110111
  11100001 -> 10000111
  10111100 -> 00111101
Apply to: 00000110
### Reasoning:
<|cot_start|>Given examples:
  11101111 -> 11110111
  11100001 -> 10000111
  10111100 -> 00111101
Compare each bit position across the three examples:
  bit 0: 1,1,1 -> 1,1,0
  bit 1: 1,1,0 -> 1,0,0
  bit 2: 1,1,1 -> 1,0,1
  bit 3: 0,0,1 -> 1,0,1
  bit 4: 1,0,1 -> 0,0,1
  bit 5: 1,0,1 -> 1,1,1
  bit 6: 1,0,0 -> 1,1,0
  bit 7: 1,1,0 -> 1,1,1
Deduce rule: reverse bits.
Apply to 00000110:
  result = 01100000
Final: \boxed{01100000}


### Task: numeral
### Problem:
Convert the Roman numeral LXIII to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  L = 50  ->  0 + 50 = 50
  X = 10  ->  50 + 10 = 60
  I = 1  ->  60 + 1 = 61
  I = 1  ->  61 + 1 = 62
  I = 1  ->  62 + 1 = 63
Final: \boxed{63}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  10011110 -> 00001110
  01101001 -> 00001001
  11000001 -> 00000001
Apply to: 00100010
### Reasoning:
<|cot_start|>Given examples:
  10011110 -> 00001110
  01101001 -> 00001001
  11000001 -> 00000001
Compare each bit position across the three examples:
  bit 0: 1,0,1 -> 0,0,0
  bit 1: 0,1,1 -> 0,0,0
  bit 2: 0,1,0 -> 0,0,0
  bit 3: 1,0,0 -> 0,0,0
  bit 4: 1,1,0 -> 1,1,0
  bit 5: 1,0,0 -> 1,0,0
  bit 6: 1,0,0 -> 1,0,0
  bit 7: 0,1,1 -> 0,1,1
Deduce rule: and 0x0F.
Apply to 00100010:
  result = 00000010
Final: \boxed{00000010}


### Task: equation
### Problem:
Discover the operator from examples then apply it:
  28,76 -> 2876
  13,71 -> 1371
  27,10 -> 2710
Apply to: 20,81
### Reasoning:
<|cot_start|>Test candidate operators on the examples:
  28,76: '+' gives 104; target=2876  no
  28,76: '-' gives 48; target=2876  no
  28,76: '*' gives 2128; target=2876  no
  28,76: 'concat' gives 2876; target=2876  MATCH
  28,76: 'rev_concat' gives 7628; target=2876  no
  28,76: 'max*min+sum' gives 2232; target=2876  no
  28,76: 'digitsum2' gives 529; target=2876  no
  13,71: '+' gives 84; target=1371  no
  13,71: '-' gives 58; target=1371  no
  13,71: '*' gives 923; target=1371  no
  13,71: 'concat' gives 1371; target=1371  MATCH
  13,71: 'rev_concat' gives 7113; target=1371  no
  13,71: 'max*min+sum' gives 1007; target=1371  no
  13,71: 'digitsum2' gives 144; target=1371  no
  27,10: '+' gives 37; target=2710  no
  27,10: '-' gives 17; target=2710  no
  27,10: '*' gives 270; target=2710  no
  27,10: 'concat' gives 2710; target=2710  MATCH
  27,10: 'rev_concat' gives 1027; target=2710  no
  27,10: 'max*min+sum' gives 307; target=2710  no
  27,10: 'digitsum2' gives 100; target=2710  no
The only operator consistent with all examples is 'concat'.
Apply to (20, 81):
  result = 2081
Final: \boxed{2081}


### Task: equation
### Problem:
Discover the operator from examples then apply it:
  52,44 -> 5244
  76,48 -> 7648
  66,78 -> 6678
Apply to: 52,61
### Reasoning:
<|cot_start|>Test candidate operators on the examples:
  52,44: '+' gives 96; target=5244  no
  52,44: '-' gives 8; target=5244  no
  52,44: '*' gives 2288; target=5244  no
  52,44: 'concat' gives 5244; target=5244  MATCH
  52,44: 'rev_concat' gives 4452; target=5244  no
  52,44: 'max*min+sum' gives 2384; target=5244  no
  52,44: 'digitsum2' gives 225; target=5244  no
  76,48: '+' gives 124; target=7648  no
  76,48: '-' gives 28; target=7648  no
  76,48: '*' gives 3648; target=7648  no
  76,48: 'concat' gives 7648; target=7648  MATCH
  76,48: 'rev_concat' gives 4876; target=7648  no
  76,48: 'max*min+sum' gives 3772; target=7648  no
  76,48: 'digitsum2' gives 625; target=7648  no
  66,78: '+' gives 144; target=6678  no
  66,78: '-' gives 12; target=6678  no
  66,78: '*' gives 5148; target=6678  no
  66,78: 'concat' gives 6678; target=6678  MATCH
  66,78: 'rev_concat' gives 7866; target=6678  no
  66,78: 'max*min+sum' gives 5292; target=6678  no
  66,78: 'digitsum2' gives 729; target=6678  no
The only operator consistent with all examples is 'concat'.
Apply to (52, 61):
  result = 5261
Final: \boxed{5261}


### Task: unit
### Problem:
Convert 20 kilograms to grams.
### Reasoning:
<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.
So 20 kilograms = 20 * 1000 grams.
Compute step by step:
  2 * 10^1 * 1000 = 20000
  running total = 20000
  0 * 10^0 * 1000 = 0
  running total = 20000
Final: \boxed{20000}


### Task: gravity
### Problem:
A mass of 29 kg is in free fall.  Compute the gravitational force in Newtons (g = 9.81 m/s^2).
### Reasoning:
<|cot_start|>Use g = 9.81 m/s^2  (work in cN = 100x N to stay integer).
F = m * g_cN = 29 * 981.
Step-by-step multiplication:
  2 * 10^1 * 981 = 19620
  running total = 19620
  9 * 10^0 * 981 = 8829
  running total = 28449
So F = 28449 centiNewtons = 284.49 N.
Final: \boxed{284.49}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  24,89 -> 8924
  46,22 -> 2246
  40,48 -> 4840
Apply to: 83,18
### Reasoning:
<|cot_start|>Examples:
  24,89 -> 8924
  46,22 -> 2246
  40,48 -> 4840
Check both candidate forms:
  concat(24,89)=2489  rev_concat(24,89)=8924  target=8924  rev_concat
  concat(46,22)=4622  rev_concat(46,22)=2246  target=2246  rev_concat
  concat(40,48)=4048  rev_concat(40,48)=4840  target=4840  rev_concat
Conclude operator: rev_concat.
Apply to (83, 18):  answer = 1883
Final: \boxed{1883}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  19,44 -> 4419
  28,89 -> 8928
  34,41 -> 4134
Apply to: 27,11
### Reasoning:
<|cot_start|>Examples:
  19,44 -> 4419
  28,89 -> 8928
  34,41 -> 4134
Check both candidate forms:
  concat(19,44)=1944  rev_concat(19,44)=4419  target=4419  rev_concat
  concat(28,89)=2889  rev_concat(28,89)=8928  target=8928  rev_concat
  concat(34,41)=3441  rev_concat(34,41)=4134  target=4134  rev_concat
Conclude operator: rev_concat.
Apply to (27, 11):  answer = 1127
Final: \boxed{1127}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  71,29 -> 2971
  51,38 -> 3851
  26,40 -> 4026
Apply to: 27,15
### Reasoning:
<|cot_start|>Examples:
  71,29 -> 2971
  51,38 -> 3851
  26,40 -> 4026
Check both candidate forms:
  concat(71,29)=7129  rev_concat(71,29)=2971  target=2971  rev_concat
  concat(51,38)=5138  rev_concat(51,38)=3851  target=3851  rev_concat
  concat(26,40)=2640  rev_concat(26,40)=4026  target=4026  rev_concat
Conclude operator: rev_concat.
Apply to (27, 15):  answer = 1527
Final: \boxed{1527}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  11000111 -> 11100011
  00001011 -> 11010000
  10010111 -> 11101001
Apply to: 01111011
### Reasoning:
<|cot_start|>Given examples:
  11000111 -> 11100011
  00001011 -> 11010000
  10010111 -> 11101001
Compare each bit position across the three examples:
  bit 0: 1,0,1 -> 1,1,1
  bit 1: 1,0,0 -> 1,1,1
  bit 2: 0,0,0 -> 1,0,1
  bit 3: 0,0,1 -> 0,1,0
  bit 4: 0,1,0 -> 0,0,1
  bit 5: 1,0,1 -> 0,0,0
  bit 6: 1,1,1 -> 1,0,0
  bit 7: 1,1,1 -> 1,0,1
Deduce rule: reverse bits.
Apply to 01111011:
  result = 11011110
Final: \boxed{11011110}


### Task: gravity
### Problem:
A mass of 1 kg is in free fall.  Compute the gravitational force in Newtons (g = 9.81 m/s^2).
### Reasoning:
<|cot_start|>Use g = 9.81 m/s^2  (work in cN = 100x N to stay integer).
F = m * g_cN = 1 * 981.
Step-by-step multiplication:
  1 * 10^0 * 981 = 981
  running total = 981
So F = 981 centiNewtons = 9.81 N.
Final: \boxed{9.81}


### Task: numeral
### Problem:
Convert the Roman numeral LXXVI to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  L = 50  ->  0 + 50 = 50
  X = 10  ->  50 + 10 = 60
  X = 10  ->  60 + 10 = 70
  V = 5  ->  70 + 5 = 75
  I = 1  ->  75 + 1 = 76
Final: \boxed{76}


### Task: gravity
### Problem:
A mass of 3 kg is in free fall.  Compute the gravitational force in Newtons (g = 9.81 m/s^2).
### Reasoning:
<|cot_start|>Use g = 9.81 m/s^2  (work in cN = 100x N to stay integer).
F = m * g_cN = 3 * 981.
Step-by-step multiplication:
  3 * 10^0 * 981 = 2943
  running total = 2943
So F = 2943 centiNewtons = 29.43 N.
Final: \boxed{29.43}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  69,23 -> 6923
  99,61 -> 9961
  81,17 -> 8117
Apply to: 43,23
### Reasoning:
<|cot_start|>Examples:
  69,23 -> 6923
  99,61 -> 9961
  81,17 -> 8117
Check both candidate forms:
  concat(69,23)=6923  rev_concat(69,23)=2369  target=6923  concat
  concat(99,61)=9961  rev_concat(99,61)=6199  target=9961  concat
  concat(81,17)=8117  rev_concat(81,17)=1781  target=8117  concat
Conclude operator: concat.
Apply to (43, 23):  answer = 4323
Final: \boxed{4323}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  13,78 -> 1378
  50,29 -> 5029
  40,83 -> 4083
Apply to: 73,79
### Reasoning:
<|cot_start|>Examples:
  13,78 -> 1378
  50,29 -> 5029
  40,83 -> 4083
Check both candidate forms:
  concat(13,78)=1378  rev_concat(13,78)=7813  target=1378  concat
  concat(50,29)=5029  rev_concat(50,29)=2950  target=5029  concat
  concat(40,83)=4083  rev_concat(40,83)=8340  target=4083  concat
Conclude operator: concat.
Apply to (73, 79):  answer = 7379
Final: \boxed{7379}


### Task: equation
### Problem:
Discover the operator from examples then apply it:
  52,42 -> 169
  66,12 -> 225
  53,51 -> 196
Apply to: 91,41
### Reasoning:
<|cot_start|>Test candidate operators on the examples:
  52,42: '+' gives 94; target=169  no
  52,42: '-' gives 10; target=169  no
  52,42: '*' gives 2184; target=169  no
  52,42: 'concat' gives 5242; target=169  no
  52,42: 'rev_concat' gives 4252; target=169  no
  52,42: 'max*min+sum' gives 2278; target=169  no
  52,42: 'digitsum2' gives 169; target=169  MATCH
  66,12: '+' gives 78; target=225  no
  66,12: '-' gives 54; target=225  no
  66,12: '*' gives 792; target=225  no
  66,12: 'concat' gives 6612; target=225  no
  66,12: 'rev_concat' gives 1266; target=225  no
  66,12: 'max*min+sum' gives 870; target=225  no
  66,12: 'digitsum2' gives 225; target=225  MATCH
  53,51: '+' gives 104; target=196  no
  53,51: '-' gives 2; target=196  no
  53,51: '*' gives 2703; target=196  no
  53,51: 'concat' gives 5351; target=196  no
  53,51: 'rev_concat' gives 5153; target=196  no
  53,51: 'max*min+sum' gives 2807; target=196  no
  53,51: 'digitsum2' gives 196; target=196  MATCH
The only operator consistent with all examples is 'digitsum2'.
Apply to (91, 41):
  result = 225
Final: \boxed{225}


### Task: unit
### Problem:
Convert 23 litres to millilitres.
### Reasoning:
<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.
So 23 litres = 23 * 1000 millilitres.
Compute step by step:
  2 * 10^1 * 1000 = 20000
  running total = 20000
  3 * 10^0 * 1000 = 3000
  running total = 23000
Final: \boxed{23000}


### Task: equation
### Problem:
Discover the operator from examples then apply it:
  27,69 -> 576
  90,54 -> 324
  74,26 -> 361
Apply to: 18,68
### Reasoning:
<|cot_start|>Test candidate operators on the examples:
  27,69: '+' gives 96; target=576  no
  27,69: '-' gives 42; target=576  no
  27,69: '*' gives 1863; target=576  no
  27,69: 'concat' gives 2769; target=576  no
  27,69: 'rev_concat' gives 6927; target=576  no
  27,69: 'max*min+sum' gives 1959; target=576  no
  27,69: 'digitsum2' gives 576; target=576  MATCH
  90,54: '+' gives 144; target=324  no
  90,54: '-' gives 36; target=324  no
  90,54: '*' gives 4860; target=324  no
  90,54: 'concat' gives 9054; target=324  no
  90,54: 'rev_concat' gives 5490; target=324  no
  90,54: 'max*min+sum' gives 5004; target=324  no
  90,54: 'digitsum2' gives 324; target=324  MATCH
  74,26: '+' gives 100; target=361  no
  74,26: '-' gives 48; target=361  no
  74,26: '*' gives 1924; target=361  no
  74,26: 'concat' gives 7426; target=361  no
  74,26: 'rev_concat' gives 2674; target=361  no
  74,26: 'max*min+sum' gives 2024; target=361  no
  74,26: 'digitsum2' gives 361; target=361  MATCH
The only operator consistent with all examples is 'digitsum2'.
Apply to (18, 68):
  result = 529
Final: \boxed{529}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  mwzukhxezu uwhawcsk jehk oehu
### Reasoning:
<|cot_start|>Cipher text: mwzukhxezu uwhawcsk jehk oehu
Try each candidate Wonderland word against each ciphertext word:
  cipher='mwzukhxezu' candidate='alice' length-match=False
  cipher='mwzukhxezu' candidate='rabbit' length-match=False
  cipher='mwzukhxezu' candidate='hatter' length-match=False
  cipher='mwzukhxezu' candidate='cheshire' length-match=False
  cipher='mwzukhxezu' candidate='queen' length-match=False
  cipher='mwzukhxezu' candidate='tea' length-match=False
  cipher='mwzukhxezu' candidate='cake' length-match=False
  cipher='mwzukhxezu' candidate='garden' length-match=False
  cipher='mwzukhxezu' candidate='mushroom' length-match=False
  cipher='mwzukhxezu' candidate='card' length-match=False
  cipher='mwzukhxezu' candidate='card' length-match=False
  cipher='mwzukhxezu' candidate='wonderland' length-match=True  <- assign
  cipher='mwzukhxezu' candidate='white' length-match=False
  cipher='mwzukhxezu' candidate='down' length-match=False
  cipher='mwzukhxezu' candidate='smile' length-match=False
  cipher='mwzukhxezu' candidate='smiled' length-match=False
  cipher='mwzukhxezu' candidate='looking' length-match=False
  cipher='mwzukhxezu' candidate='glass' length-match=False
  cipher='mwzukhxezu' candidate='march' length-match=False
  cipher='mwzukhxezu' candidate='hare' length-match=False
  cipher='mwzukhxezu' candidate='dormouse' length-match=False
  cipher='uwhawcsk' candidate='alice' length-match=False
  cipher='uwhawcsk' candidate='rabbit' length-match=False
  cipher='uwhawcsk' candidate='hatter' length-match=False
  cipher='uwhawcsk' candidate='cheshire' length-match=True
  cipher='uwhawcsk' candidate='queen' length-match=False
  cipher='uwhawcsk' candidate='tea' length-match=False
  cipher='uwhawcsk' candidate='cake' length-match=False
  cipher='uwhawcsk' candidate='garden' length-match=False
  cipher='uwhawcsk' candidate='mushroom' length-match=True
  cipher='uwhawcsk' candidate='card' length-match=False
  cipher='uwhawcsk' candidate='card' length-match=False
  cipher='uwhawcsk' candidate='wonderland' length-match=False
  cipher='uwhawcsk' candidate='white' length-match=False
  cipher='uwhawcsk' candidate='down' length-match=False
  cipher='uwhawcsk' candidate='smile' length-match=False
  cipher='uwhawcsk' candidate='smiled' length-match=False
  cipher='uwhawcsk' candidate='looking' length-match=False
  cipher='uwhawcsk' candidate='glass' length-match=False
  cipher='uwhawcsk' candidate='march' length-match=False
  cipher='uwhawcsk' candidate='hare' length-match=False
  cipher='uwhawcsk' candidate='dormouse' length-match=True  <- assign
  cipher='jehk' candidate='alice' length-match=False
  cipher='jehk' candidate='rabbit' length-match=False
  cipher='jehk' candidate='hatter' length-match=False
  cipher='jehk' candidate='cheshire' length-match=False
  cipher='jehk' candidate='queen' length-match=False
  cipher='jehk' candidate='tea' length-match=False
  cipher='jehk' candidate='cake' length-match=True
  cipher='jehk' candidate='garden' length-match=False
  cipher='jehk' candidate='mushroom' length-match=False
  cipher='jehk' candidate='card' length-match=True
  cipher='jehk' candidate='card' length-match=True
  cipher='jehk' candidate='wonderland' length-match=False
  cipher='jehk' candidate='white' length-match=False
  cipher='jehk' candidate='down' length-match=True
  cipher='jehk' candidate='smile' length-match=False
  cipher='jehk' candidate='smiled' length-match=False
  cipher='jehk' candidate='looking' length-match=False
  cipher='jehk' candidate='glass' length-match=False
  cipher='jehk' candidate='march' length-match=False
  cipher='jehk' candidate='hare' length-match=True  <- assign
  cipher='jehk' candidate='dormouse' length-match=False
  cipher='oehu' candidate='alice' length-match=False
  cipher='oehu' candidate='rabbit' length-match=False
  cipher='oehu' candidate='hatter' length-match=False
  cipher='oehu' candidate='cheshire' length-match=False
  cipher='oehu' candidate='queen' length-match=False
  cipher='oehu' candidate='tea' length-match=False
  cipher='oehu' candidate='cake' length-match=True
  cipher='oehu' candidate='garden' length-match=False
  cipher='oehu' candidate='mushroom' length-match=False
  cipher='oehu' candidate='card' length-match=True  <- assign
  cipher='oehu' candidate='card' length-match=True  <- assign
  cipher='oehu' candidate='wonderland' length-match=False
  cipher='oehu' candidate='white' length-match=False
  cipher='oehu' candidate='down' length-match=True
  cipher='oehu' candidate='smile' length-match=False
  cipher='oehu' candidate='smiled' length-match=False
  cipher='oehu' candidate='looking' length-match=False
  cipher='oehu' candidate='glass' length-match=False
  cipher='oehu' candidate='march' length-match=False
  cipher='oehu' candidate='hare' length-match=True
  cipher='oehu' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  wonderland dormouse hare card
Final: \boxed{wonderland dormouse hare card}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  68,43 -> 4368
  54,45 -> 4554
  89,97 -> 9789
Apply to: 38,33
### Reasoning:
<|cot_start|>Examples:
  68,43 -> 4368
  54,45 -> 4554
  89,97 -> 9789
Check both candidate forms:
  concat(68,43)=6843  rev_concat(68,43)=4368  target=4368  rev_concat
  concat(54,45)=5445  rev_concat(54,45)=4554  target=4554  rev_concat
  concat(89,97)=8997  rev_concat(89,97)=9789  target=9789  rev_concat
Conclude operator: rev_concat.
Apply to (38, 33):  answer = 3338
Final: \boxed{3338}


### Task: numeral
### Problem:
Convert the Roman numeral XXVII to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  X = 10  ->  0 + 10 = 10
  X = 10  ->  10 + 10 = 20
  V = 5  ->  20 + 5 = 25
  I = 1  ->  25 + 1 = 26
  I = 1  ->  26 + 1 = 27
Final: \boxed{27}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  80,35 -> 8035
  26,59 -> 2659
  82,94 -> 8294
Apply to: 71,56
### Reasoning:
<|cot_start|>Examples:
  80,35 -> 8035
  26,59 -> 2659
  82,94 -> 8294
Check both candidate forms:
  concat(80,35)=8035  rev_concat(80,35)=3580  target=8035  concat
  concat(26,59)=2659  rev_concat(26,59)=5926  target=2659  concat
  concat(82,94)=8294  rev_concat(82,94)=9482  target=8294  concat
Conclude operator: concat.
Apply to (71, 56):  answer = 7156
Final: \boxed{7156}


### Task: unit
### Problem:
Convert 18 kilograms to grams.
### Reasoning:
<|cot_start|>Conversion factor: 1 kilograms = 1000 grams.
So 18 kilograms = 18 * 1000 grams.
Compute step by step:
  1 * 10^1 * 1000 = 10000
  running total = 10000
  8 * 10^0 * 1000 = 8000
  running total = 18000
Final: \boxed{18000}


### Task: numeral
### Problem:
Convert the Roman numeral LXXVIII to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  L = 50  ->  0 + 50 = 50
  X = 10  ->  50 + 10 = 60
  X = 10  ->  60 + 10 = 70
  V = 5  ->  70 + 5 = 75
  I = 1  ->  75 + 1 = 76
  I = 1  ->  76 + 1 = 77
  I = 1  ->  77 + 1 = 78
Final: \boxed{78}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  akzfpl wpn akzfp yfnaa
### Reasoning:
<|cot_start|>Cipher text: akzfpl wpn akzfp yfnaa
Try each candidate Wonderland word against each ciphertext word:
  cipher='akzfpl' candidate='alice' length-match=False
  cipher='akzfpl' candidate='rabbit' length-match=True
  cipher='akzfpl' candidate='hatter' length-match=True
  cipher='akzfpl' candidate='cheshire' length-match=False
  cipher='akzfpl' candidate='queen' length-match=False
  cipher='akzfpl' candidate='tea' length-match=False
  cipher='akzfpl' candidate='cake' length-match=False
  cipher='akzfpl' candidate='garden' length-match=True
  cipher='akzfpl' candidate='mushroom' length-match=False
  cipher='akzfpl' candidate='card' length-match=False
  cipher='akzfpl' candidate='card' length-match=False
  cipher='akzfpl' candidate='wonderland' length-match=False
  cipher='akzfpl' candidate='white' length-match=False
  cipher='akzfpl' candidate='down' length-match=False
  cipher='akzfpl' candidate='smile' length-match=False
  cipher='akzfpl' candidate='smiled' length-match=True  <- assign
  cipher='akzfpl' candidate='looking' length-match=False
  cipher='akzfpl' candidate='glass' length-match=False
  cipher='akzfpl' candidate='march' length-match=False
  cipher='akzfpl' candidate='hare' length-match=False
  cipher='akzfpl' candidate='dormouse' length-match=False
  cipher='wpn' candidate='alice' length-match=False
  cipher='wpn' candidate='rabbit' length-match=False
  cipher='wpn' candidate='hatter' length-match=False
  cipher='wpn' candidate='cheshire' length-match=False
  cipher='wpn' candidate='queen' length-match=False
  cipher='wpn' candidate='tea' length-match=True  <- assign
  cipher='wpn' candidate='cake' length-match=False
  cipher='wpn' candidate='garden' length-match=False
  cipher='wpn' candidate='mushroom' length-match=False
  cipher='wpn' candidate='card' length-match=False
  cipher='wpn' candidate='card' length-match=False
  cipher='wpn' candidate='wonderland' length-match=False
  cipher='wpn' candidate='white' length-match=False
  cipher='wpn' candidate='down' length-match=False
  cipher='wpn' candidate='smile' length-match=False
  cipher='wpn' candidate='smiled' length-match=False
  cipher='wpn' candidate='looking' length-match=False
  cipher='wpn' candidate='glass' length-match=False
  cipher='wpn' candidate='march' length-match=False
  cipher='wpn' candidate='hare' length-match=False
  cipher='wpn' candidate='dormouse' length-match=False
  cipher='akzfp' candidate='alice' length-match=True
  cipher='akzfp' candidate='rabbit' length-match=False
  cipher='akzfp' candidate='hatter' length-match=False
  cipher='akzfp' candidate='cheshire' length-match=False
  cipher='akzfp' candidate='queen' length-match=True
  cipher='akzfp' candidate='tea' length-match=False
  cipher='akzfp' candidate='cake' length-match=False
  cipher='akzfp' candidate='garden' length-match=False
  cipher='akzfp' candidate='mushroom' length-match=False
  cipher='akzfp' candidate='card' length-match=False
  cipher='akzfp' candidate='card' length-match=False
  cipher='akzfp' candidate='wonderland' length-match=False
  cipher='akzfp' candidate='white' length-match=True
  cipher='akzfp' candidate='down' length-match=False
  cipher='akzfp' candidate='smile' length-match=True  <- assign
  cipher='akzfp' candidate='smiled' length-match=False
  cipher='akzfp' candidate='looking' length-match=False
  cipher='akzfp' candidate='glass' length-match=True
  cipher='akzfp' candidate='march' length-match=True
  cipher='akzfp' candidate='hare' length-match=False
  cipher='akzfp' candidate='dormouse' length-match=False
  cipher='yfnaa' candidate='alice' length-match=True
  cipher='yfnaa' candidate='rabbit' length-match=False
  cipher='yfnaa' candidate='hatter' length-match=False
  cipher='yfnaa' candidate='cheshire' length-match=False
  cipher='yfnaa' candidate='queen' length-match=True
  cipher='yfnaa' candidate='tea' length-match=False
  cipher='yfnaa' candidate='cake' length-match=False
  cipher='yfnaa' candidate='garden' length-match=False
  cipher='yfnaa' candidate='mushroom' length-match=False
  cipher='yfnaa' candidate='card' length-match=False
  cipher='yfnaa' candidate='card' length-match=False
  cipher='yfnaa' candidate='wonderland' length-match=False
  cipher='yfnaa' candidate='white' length-match=True
  cipher='yfnaa' candidate='down' length-match=False
  cipher='yfnaa' candidate='smile' length-match=True
  cipher='yfnaa' candidate='smiled' length-match=False
  cipher='yfnaa' candidate='looking' length-match=False
  cipher='yfnaa' candidate='glass' length-match=True  <- assign
  cipher='yfnaa' candidate='march' length-match=True
  cipher='yfnaa' candidate='hare' length-match=False
  cipher='yfnaa' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  smiled tea smile glass
Final: \boxed{smiled tea smile glass}


### Task: gravity
### Problem:
A mass of 42 kg is in free fall.  Compute the gravitational force in Newtons (g = 9.81 m/s^2).
### Reasoning:
<|cot_start|>Use g = 9.81 m/s^2  (work in cN = 100x N to stay integer).
F = m * g_cN = 42 * 981.
Step-by-step multiplication:
  4 * 10^1 * 981 = 39240
  running total = 39240
  2 * 10^0 * 981 = 1962
  running total = 41202
So F = 41202 centiNewtons = 412.02 N.
Final: \boxed{412.02}


### Task: equation
### Problem:
Discover the operator from examples then apply it:
  57,16 -> 73
  95,38 -> 133
  38,73 -> 111
Apply to: 42,49
### Reasoning:
<|cot_start|>Test candidate operators on the examples:
  57,16: '+' gives 73; target=73  MATCH
  57,16: '-' gives 41; target=73  no
  57,16: '*' gives 912; target=73  no
  57,16: 'concat' gives 5716; target=73  no
  57,16: 'rev_concat' gives 1657; target=73  no
  57,16: 'max*min+sum' gives 985; target=73  no
  57,16: 'digitsum2' gives 361; target=73  no
  95,38: '+' gives 133; target=133  MATCH
  95,38: '-' gives 57; target=133  no
  95,38: '*' gives 3610; target=133  no
  95,38: 'concat' gives 9538; target=133  no
  95,38: 'rev_concat' gives 3895; target=133  no
  95,38: 'max*min+sum' gives 3743; target=133  no
  95,38: 'digitsum2' gives 625; target=133  no
  38,73: '+' gives 111; target=111  MATCH
  38,73: '-' gives 35; target=111  no
  38,73: '*' gives 2774; target=111  no
  38,73: 'concat' gives 3873; target=111  no
  38,73: 'rev_concat' gives 7338; target=111  no
  38,73: 'max*min+sum' gives 2885; target=111  no
  38,73: 'digitsum2' gives 441; target=111  no
The only operator consistent with all examples is '+'.
Apply to (42, 49):
  result = 91
Final: \boxed{91}


### Task: numeral
### Problem:
Convert the Roman numeral LXXXI to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  L = 50  ->  0 + 50 = 50
  X = 10  ->  50 + 10 = 60
  X = 10  ->  60 + 10 = 70
  X = 10  ->  70 + 10 = 80
  I = 1  ->  80 + 1 = 81
Final: \boxed{81}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  00010011 -> 01000110
  00101100 -> 01111001
  10110001 -> 11100100
Apply to: 11000010
### Reasoning:
<|cot_start|>Given examples:
  00010011 -> 01000110
  00101100 -> 01111001
  10110001 -> 11100100
Compare each bit position across the three examples:
  bit 0: 0,0,1 -> 0,0,1
  bit 1: 0,0,0 -> 1,1,1
  bit 2: 0,1,1 -> 0,1,1
  bit 3: 1,0,1 -> 0,1,0
  bit 4: 0,1,0 -> 0,1,0
  bit 5: 0,1,0 -> 1,0,1
  bit 6: 1,0,0 -> 1,0,0
  bit 7: 1,0,1 -> 0,1,0
Deduce rule: xor 0x55.
Apply to 11000010:
  result = 10010111
Final: \boxed{10010111}


### Task: unit
### Problem:
Convert 92 metres to centimetres.
### Reasoning:
<|cot_start|>Conversion factor: 1 metres = 100 centimetres.
So 92 metres = 92 * 100 centimetres.
Compute step by step:
  9 * 10^1 * 100 = 9000
  running total = 9000
  2 * 10^0 * 100 = 200
  running total = 9200
Final: \boxed{9200}


### Task: unit
### Problem:
Convert 57 minutes to seconds.
### Reasoning:
<|cot_start|>Conversion factor: 1 minutes = 60 seconds.
So 57 minutes = 57 * 60 seconds.
Compute step by step:
  5 * 10^1 * 60 = 3000
  running total = 3000
  7 * 10^0 * 60 = 420
  running total = 3420
Final: \boxed{3420}


### Task: numeral
### Problem:
Convert the Roman numeral XIX to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  X = 10  ->  0 + 10 = 10
  IX = 9  ->  10 + 9 = 19
Final: \boxed{19}


### Task: numeral
### Problem:
Convert the Roman numeral XXV to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  X = 10  ->  0 + 10 = 10
  X = 10  ->  10 + 10 = 20
  V = 5  ->  20 + 5 = 25
Final: \boxed{25}


### Task: equation
### Problem:
Discover the operator from examples then apply it:
  20,21 -> 1
  41,24 -> 17
  35,71 -> 36
Apply to: 93,34
### Reasoning:
<|cot_start|>Test candidate operators on the examples:
  20,21: '+' gives 41; target=1  no
  20,21: '-' gives 1; target=1  MATCH
  20,21: '*' gives 420; target=1  no
  20,21: 'concat' gives 2021; target=1  no
  20,21: 'rev_concat' gives 2120; target=1  no
  20,21: 'max*min+sum' gives 461; target=1  no
  20,21: 'digitsum2' gives 25; target=1  no
  41,24: '+' gives 65; target=17  no
  41,24: '-' gives 17; target=17  MATCH
  41,24: '*' gives 984; target=17  no
  41,24: 'concat' gives 4124; target=17  no
  41,24: 'rev_concat' gives 2441; target=17  no
  41,24: 'max*min+sum' gives 1049; target=17  no
  41,24: 'digitsum2' gives 121; target=17  no
  35,71: '+' gives 106; target=36  no
  35,71: '-' gives 36; target=36  MATCH
  35,71: '*' gives 2485; target=36  no
  35,71: 'concat' gives 3571; target=36  no
  35,71: 'rev_concat' gives 7135; target=36  no
  35,71: 'max*min+sum' gives 2591; target=36  no
  35,71: 'digitsum2' gives 256; target=36  no
The only operator consistent with all examples is '-'.
Apply to (93, 34):
  result = 59
Final: \boxed{59}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  qhvpu nqrlw yokz bwh
### Reasoning:
<|cot_start|>Cipher text: qhvpu nqrlw yokz bwh
Try each candidate Wonderland word against each ciphertext word:
  cipher='qhvpu' candidate='alice' length-match=True
  cipher='qhvpu' candidate='rabbit' length-match=False
  cipher='qhvpu' candidate='hatter' length-match=False
  cipher='qhvpu' candidate='cheshire' length-match=False
  cipher='qhvpu' candidate='queen' length-match=True
  cipher='qhvpu' candidate='tea' length-match=False
  cipher='qhvpu' candidate='cake' length-match=False
  cipher='qhvpu' candidate='garden' length-match=False
  cipher='qhvpu' candidate='mushroom' length-match=False
  cipher='qhvpu' candidate='card' length-match=False
  cipher='qhvpu' candidate='card' length-match=False
  cipher='qhvpu' candidate='wonderland' length-match=False
  cipher='qhvpu' candidate='white' length-match=True
  cipher='qhvpu' candidate='down' length-match=False
  cipher='qhvpu' candidate='smile' length-match=True
  cipher='qhvpu' candidate='smiled' length-match=False
  cipher='qhvpu' candidate='looking' length-match=False
  cipher='qhvpu' candidate='glass' length-match=True
  cipher='qhvpu' candidate='march' length-match=True  <- assign
  cipher='qhvpu' candidate='hare' length-match=False
  cipher='qhvpu' candidate='dormouse' length-match=False
  cipher='nqrlw' candidate='alice' length-match=True
  cipher='nqrlw' candidate='rabbit' length-match=False
  cipher='nqrlw' candidate='hatter' length-match=False
  cipher='nqrlw' candidate='cheshire' length-match=False
  cipher='nqrlw' candidate='queen' length-match=True
  cipher='nqrlw' candidate='tea' length-match=False
  cipher='nqrlw' candidate='cake' length-match=False
  cipher='nqrlw' candidate='garden' length-match=False
  cipher='nqrlw' candidate='mushroom' length-match=False
  cipher='nqrlw' candidate='card' length-match=False
  cipher='nqrlw' candidate='card' length-match=False
  cipher='nqrlw' candidate='wonderland' length-match=False
  cipher='nqrlw' candidate='white' length-match=True
  cipher='nqrlw' candidate='down' length-match=False
  cipher='nqrlw' candidate='smile' length-match=True  <- assign
  cipher='nqrlw' candidate='smiled' length-match=False
  cipher='nqrlw' candidate='looking' length-match=False
  cipher='nqrlw' candidate='glass' length-match=True
  cipher='nqrlw' candidate='march' length-match=True
  cipher='nqrlw' candidate='hare' length-match=False
  cipher='nqrlw' candidate='dormouse' length-match=False
  cipher='yokz' candidate='alice' length-match=False
  cipher='yokz' candidate='rabbit' length-match=False
  cipher='yokz' candidate='hatter' length-match=False
  cipher='yokz' candidate='cheshire' length-match=False
  cipher='yokz' candidate='queen' length-match=False
  cipher='yokz' candidate='tea' length-match=False
  cipher='yokz' candidate='cake' length-match=True
  cipher='yokz' candidate='garden' length-match=False
  cipher='yokz' candidate='mushroom' length-match=False
  cipher='yokz' candidate='card' length-match=True
  cipher='yokz' candidate='card' length-match=True
  cipher='yokz' candidate='wonderland' length-match=False
  cipher='yokz' candidate='white' length-match=False
  cipher='yokz' candidate='down' length-match=True  <- assign
  cipher='yokz' candidate='smile' length-match=False
  cipher='yokz' candidate='smiled' length-match=False
  cipher='yokz' candidate='looking' length-match=False
  cipher='yokz' candidate='glass' length-match=False
  cipher='yokz' candidate='march' length-match=False
  cipher='yokz' candidate='hare' length-match=True
  cipher='yokz' candidate='dormouse' length-match=False
  cipher='bwh' candidate='alice' length-match=False
  cipher='bwh' candidate='rabbit' length-match=False
  cipher='bwh' candidate='hatter' length-match=False
  cipher='bwh' candidate='cheshire' length-match=False
  cipher='bwh' candidate='queen' length-match=False
  cipher='bwh' candidate='tea' length-match=True  <- assign
  cipher='bwh' candidate='cake' length-match=False
  cipher='bwh' candidate='garden' length-match=False
  cipher='bwh' candidate='mushroom' length-match=False
  cipher='bwh' candidate='card' length-match=False
  cipher='bwh' candidate='card' length-match=False
  cipher='bwh' candidate='wonderland' length-match=False
  cipher='bwh' candidate='white' length-match=False
  cipher='bwh' candidate='down' length-match=False
  cipher='bwh' candidate='smile' length-match=False
  cipher='bwh' candidate='smiled' length-match=False
  cipher='bwh' candidate='looking' length-match=False
  cipher='bwh' candidate='glass' length-match=False
  cipher='bwh' candidate='march' length-match=False
  cipher='bwh' candidate='hare' length-match=False
  cipher='bwh' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  march smile down tea
Final: \boxed{march smile down tea}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  00111101 -> 00001101
  10000000 -> 00000000
  10100001 -> 00000001
Apply to: 10000011
### Reasoning:
<|cot_start|>Given examples:
  00111101 -> 00001101
  10000000 -> 00000000
  10100001 -> 00000001
Compare each bit position across the three examples:
  bit 0: 0,1,1 -> 0,0,0
  bit 1: 0,0,0 -> 0,0,0
  bit 2: 1,0,1 -> 0,0,0
  bit 3: 1,0,0 -> 0,0,0
  bit 4: 1,0,0 -> 1,0,0
  bit 5: 1,0,0 -> 1,0,0
  bit 6: 0,0,0 -> 0,0,0
  bit 7: 1,0,1 -> 1,0,1
Deduce rule: and 0x0F.
Apply to 10000011:
  result = 00000011
Final: \boxed{00000011}


### Task: numeral
### Problem:
Convert the Roman numeral LVI to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  L = 50  ->  0 + 50 = 50
  V = 5  ->  50 + 5 = 55
  I = 1  ->  55 + 1 = 56
Final: \boxed{56}


### Task: unit
### Problem:
Convert 11 days to hours.
### Reasoning:
<|cot_start|>Conversion factor: 1 days = 24 hours.
So 11 days = 11 * 24 hours.
Compute step by step:
  1 * 10^1 * 24 = 240
  running total = 240
  1 * 10^0 * 24 = 24
  running total = 264
Final: \boxed{264}


### Task: numeral
### Problem:
Convert the Roman numeral XXXVIII to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  X = 10  ->  0 + 10 = 10
  X = 10  ->  10 + 10 = 20
  X = 10  ->  20 + 10 = 30
  V = 5  ->  30 + 5 = 35
  I = 1  ->  35 + 1 = 36
  I = 1  ->  36 + 1 = 37
  I = 1  ->  37 + 1 = 38
Final: \boxed{38}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  vjbdd ghflr wcdhsqqw bjfpr
### Reasoning:
<|cot_start|>Cipher text: vjbdd ghflr wcdhsqqw bjfpr
Try each candidate Wonderland word against each ciphertext word:
  cipher='vjbdd' candidate='alice' length-match=True
  cipher='vjbdd' candidate='rabbit' length-match=False
  cipher='vjbdd' candidate='hatter' length-match=False
  cipher='vjbdd' candidate='cheshire' length-match=False
  cipher='vjbdd' candidate='queen' length-match=True
  cipher='vjbdd' candidate='tea' length-match=False
  cipher='vjbdd' candidate='cake' length-match=False
  cipher='vjbdd' candidate='garden' length-match=False
  cipher='vjbdd' candidate='mushroom' length-match=False
  cipher='vjbdd' candidate='card' length-match=False
  cipher='vjbdd' candidate='card' length-match=False
  cipher='vjbdd' candidate='wonderland' length-match=False
  cipher='vjbdd' candidate='white' length-match=True
  cipher='vjbdd' candidate='down' length-match=False
  cipher='vjbdd' candidate='smile' length-match=True
  cipher='vjbdd' candidate='smiled' length-match=False
  cipher='vjbdd' candidate='looking' length-match=False
  cipher='vjbdd' candidate='glass' length-match=True  <- assign
  cipher='vjbdd' candidate='march' length-match=True
  cipher='vjbdd' candidate='hare' length-match=False
  cipher='vjbdd' candidate='dormouse' length-match=False
  cipher='ghflr' candidate='alice' length-match=True
  cipher='ghflr' candidate='rabbit' length-match=False
  cipher='ghflr' candidate='hatter' length-match=False
  cipher='ghflr' candidate='cheshire' length-match=False
  cipher='ghflr' candidate='queen' length-match=True
  cipher='ghflr' candidate='tea' length-match=False
  cipher='ghflr' candidate='cake' length-match=False
  cipher='ghflr' candidate='garden' length-match=False
  cipher='ghflr' candidate='mushroom' length-match=False
  cipher='ghflr' candidate='card' length-match=False
  cipher='ghflr' candidate='card' length-match=False
  cipher='ghflr' candidate='wonderland' length-match=False
  cipher='ghflr' candidate='white' length-match=True  <- assign
  cipher='ghflr' candidate='down' length-match=False
  cipher='ghflr' candidate='smile' length-match=True
  cipher='ghflr' candidate='smiled' length-match=False
  cipher='ghflr' candidate='looking' length-match=False
  cipher='ghflr' candidate='glass' length-match=True
  cipher='ghflr' candidate='march' length-match=True
  cipher='ghflr' candidate='hare' length-match=False
  cipher='ghflr' candidate='dormouse' length-match=False
  cipher='wcdhsqqw' candidate='alice' length-match=False
  cipher='wcdhsqqw' candidate='rabbit' length-match=False
  cipher='wcdhsqqw' candidate='hatter' length-match=False
  cipher='wcdhsqqw' candidate='cheshire' length-match=True
  cipher='wcdhsqqw' candidate='queen' length-match=False
  cipher='wcdhsqqw' candidate='tea' length-match=False
  cipher='wcdhsqqw' candidate='cake' length-match=False
  cipher='wcdhsqqw' candidate='garden' length-match=False
  cipher='wcdhsqqw' candidate='mushroom' length-match=True  <- assign
  cipher='wcdhsqqw' candidate='card' length-match=False
  cipher='wcdhsqqw' candidate='card' length-match=False
  cipher='wcdhsqqw' candidate='wonderland' length-match=False
  cipher='wcdhsqqw' candidate='white' length-match=False
  cipher='wcdhsqqw' candidate='down' length-match=False
  cipher='wcdhsqqw' candidate='smile' length-match=False
  cipher='wcdhsqqw' candidate='smiled' length-match=False
  cipher='wcdhsqqw' candidate='looking' length-match=False
  cipher='wcdhsqqw' candidate='glass' length-match=False
  cipher='wcdhsqqw' candidate='march' length-match=False
  cipher='wcdhsqqw' candidate='hare' length-match=False
  cipher='wcdhsqqw' candidate='dormouse' length-match=True
  cipher='bjfpr' candidate='alice' length-match=True  <- assign
  cipher='bjfpr' candidate='rabbit' length-match=False
  cipher='bjfpr' candidate='hatter' length-match=False
  cipher='bjfpr' candidate='cheshire' length-match=False
  cipher='bjfpr' candidate='queen' length-match=True
  cipher='bjfpr' candidate='tea' length-match=False
  cipher='bjfpr' candidate='cake' length-match=False
  cipher='bjfpr' candidate='garden' length-match=False
  cipher='bjfpr' candidate='mushroom' length-match=False
  cipher='bjfpr' candidate='card' length-match=False
  cipher='bjfpr' candidate='card' length-match=False
  cipher='bjfpr' candidate='wonderland' length-match=False
  cipher='bjfpr' candidate='white' length-match=True
  cipher='bjfpr' candidate='down' length-match=False
  cipher='bjfpr' candidate='smile' length-match=True
  cipher='bjfpr' candidate='smiled' length-match=False
  cipher='bjfpr' candidate='looking' length-match=False
  cipher='bjfpr' candidate='glass' length-match=True
  cipher='bjfpr' candidate='march' length-match=True
  cipher='bjfpr' candidate='hare' length-match=False
  cipher='bjfpr' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  glass white mushroom alice
Final: \boxed{glass white mushroom alice}


### Task: unit
### Problem:
Convert 78 kilometres to metres.
### Reasoning:
<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.
So 78 kilometres = 78 * 1000 metres.
Compute step by step:
  7 * 10^1 * 1000 = 70000
  running total = 70000
  8 * 10^0 * 1000 = 8000
  running total = 78000
Final: \boxed{78000}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  79,14 -> 1479
  35,46 -> 4635
  81,36 -> 3681
Apply to: 43,17
### Reasoning:
<|cot_start|>Examples:
  79,14 -> 1479
  35,46 -> 4635
  81,36 -> 3681
Check both candidate forms:
  concat(79,14)=7914  rev_concat(79,14)=1479  target=1479  rev_concat
  concat(35,46)=3546  rev_concat(35,46)=4635  target=4635  rev_concat
  concat(81,36)=8136  rev_concat(81,36)=3681  target=3681  rev_concat
Conclude operator: rev_concat.
Apply to (43, 17):  answer = 1743
Final: \boxed{1743}


### Task: unit
### Problem:
Convert 25 minutes to seconds.
### Reasoning:
<|cot_start|>Conversion factor: 1 minutes = 60 seconds.
So 25 minutes = 25 * 60 seconds.
Compute step by step:
  2 * 10^1 * 60 = 1200
  running total = 1200
  5 * 10^0 * 60 = 300
  running total = 1500
Final: \boxed{1500}


### Task: unit
### Problem:
Convert 80 days to hours.
### Reasoning:
<|cot_start|>Conversion factor: 1 days = 24 hours.
So 80 days = 80 * 24 hours.
Compute step by step:
  8 * 10^1 * 24 = 1920
  running total = 1920
  0 * 10^0 * 24 = 0
  running total = 1920
Final: \boxed{1920}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  yrnmv panov rzyaittr emnjv
### Reasoning:
<|cot_start|>Cipher text: yrnmv panov rzyaittr emnjv
Try each candidate Wonderland word against each ciphertext word:
  cipher='yrnmv' candidate='alice' length-match=True
  cipher='yrnmv' candidate='rabbit' length-match=False
  cipher='yrnmv' candidate='hatter' length-match=False
  cipher='yrnmv' candidate='cheshire' length-match=False
  cipher='yrnmv' candidate='queen' length-match=True
  cipher='yrnmv' candidate='tea' length-match=False
  cipher='yrnmv' candidate='cake' length-match=False
  cipher='yrnmv' candidate='garden' length-match=False
  cipher='yrnmv' candidate='mushroom' length-match=False
  cipher='yrnmv' candidate='card' length-match=False
  cipher='yrnmv' candidate='card' length-match=False
  cipher='yrnmv' candidate='wonderland' length-match=False
  cipher='yrnmv' candidate='white' length-match=True
  cipher='yrnmv' candidate='down' length-match=False
  cipher='yrnmv' candidate='smile' length-match=True  <- assign
  cipher='yrnmv' candidate='smiled' length-match=False
  cipher='yrnmv' candidate='looking' length-match=False
  cipher='yrnmv' candidate='glass' length-match=True
  cipher='yrnmv' candidate='march' length-match=True
  cipher='yrnmv' candidate='hare' length-match=False
  cipher='yrnmv' candidate='dormouse' length-match=False
  cipher='panov' candidate='alice' length-match=True
  cipher='panov' candidate='rabbit' length-match=False
  cipher='panov' candidate='hatter' length-match=False
  cipher='panov' candidate='cheshire' length-match=False
  cipher='panov' candidate='queen' length-match=True
  cipher='panov' candidate='tea' length-match=False
  cipher='panov' candidate='cake' length-match=False
  cipher='panov' candidate='garden' length-match=False
  cipher='panov' candidate='mushroom' length-match=False
  cipher='panov' candidate='card' length-match=False
  cipher='panov' candidate='card' length-match=False
  cipher='panov' candidate='wonderland' length-match=False
  cipher='panov' candidate='white' length-match=True  <- assign
  cipher='panov' candidate='down' length-match=False
  cipher='panov' candidate='smile' length-match=True
  cipher='panov' candidate='smiled' length-match=False
  cipher='panov' candidate='looking' length-match=False
  cipher='panov' candidate='glass' length-match=True
  cipher='panov' candidate='march' length-match=True
  cipher='panov' candidate='hare' length-match=False
  cipher='panov' candidate='dormouse' length-match=False
  cipher='rzyaittr' candidate='alice' length-match=False
  cipher='rzyaittr' candidate='rabbit' length-match=False
  cipher='rzyaittr' candidate='hatter' length-match=False
  cipher='rzyaittr' candidate='cheshire' length-match=True
  cipher='rzyaittr' candidate='queen' length-match=False
  cipher='rzyaittr' candidate='tea' length-match=False
  cipher='rzyaittr' candidate='cake' length-match=False
  cipher='rzyaittr' candidate='garden' length-match=False
  cipher='rzyaittr' candidate='mushroom' length-match=True  <- assign
  cipher='rzyaittr' candidate='card' length-match=False
  cipher='rzyaittr' candidate='card' length-match=False
  cipher='rzyaittr' candidate='wonderland' length-match=False
  cipher='rzyaittr' candidate='white' length-match=False
  cipher='rzyaittr' candidate='down' length-match=False
  cipher='rzyaittr' candidate='smile' length-match=False
  cipher='rzyaittr' candidate='smiled' length-match=False
  cipher='rzyaittr' candidate='looking' length-match=False
  cipher='rzyaittr' candidate='glass' length-match=False
  cipher='rzyaittr' candidate='march' length-match=False
  cipher='rzyaittr' candidate='hare' length-match=False
  cipher='rzyaittr' candidate='dormouse' length-match=True
  cipher='emnjv' candidate='alice' length-match=True  <- assign
  cipher='emnjv' candidate='rabbit' length-match=False
  cipher='emnjv' candidate='hatter' length-match=False
  cipher='emnjv' candidate='cheshire' length-match=False
  cipher='emnjv' candidate='queen' length-match=True
  cipher='emnjv' candidate='tea' length-match=False
  cipher='emnjv' candidate='cake' length-match=False
  cipher='emnjv' candidate='garden' length-match=False
  cipher='emnjv' candidate='mushroom' length-match=False
  cipher='emnjv' candidate='card' length-match=False
  cipher='emnjv' candidate='card' length-match=False
  cipher='emnjv' candidate='wonderland' length-match=False
  cipher='emnjv' candidate='white' length-match=True
  cipher='emnjv' candidate='down' length-match=False
  cipher='emnjv' candidate='smile' length-match=True
  cipher='emnjv' candidate='smiled' length-match=False
  cipher='emnjv' candidate='looking' length-match=False
  cipher='emnjv' candidate='glass' length-match=True
  cipher='emnjv' candidate='march' length-match=True
  cipher='emnjv' candidate='hare' length-match=False
  cipher='emnjv' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  smile white mushroom alice
Final: \boxed{smile white mushroom alice}


### Task: unit
### Problem:
Convert 43 litres to millilitres.
### Reasoning:
<|cot_start|>Conversion factor: 1 litres = 1000 millilitres.
So 43 litres = 43 * 1000 millilitres.
Compute step by step:
  4 * 10^1 * 1000 = 40000
  running total = 40000
  3 * 10^0 * 1000 = 3000
  running total = 43000
Final: \boxed{43000}


### Task: unit
### Problem:
Convert 82 minutes to seconds.
### Reasoning:
<|cot_start|>Conversion factor: 1 minutes = 60 seconds.
So 82 minutes = 82 * 60 seconds.
Compute step by step:
  8 * 10^1 * 60 = 4800
  running total = 4800
  2 * 10^0 * 60 = 120
  running total = 4920
Final: \boxed{4920}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  11100011 -> 01001001
  01010100 -> 11111110
  01010100 -> 11111110
Apply to: 11101110
### Reasoning:
<|cot_start|>Given examples:
  11100011 -> 01001001
  01010100 -> 11111110
  01010100 -> 11111110
Compare each bit position across the three examples:
  bit 0: 1,0,0 -> 0,1,1
  bit 1: 1,1,1 -> 1,1,1
  bit 2: 1,0,0 -> 0,1,1
  bit 3: 0,1,1 -> 0,1,1
  bit 4: 0,0,0 -> 1,1,1
  bit 5: 0,1,1 -> 0,1,1
  bit 6: 1,0,0 -> 0,1,1
  bit 7: 1,0,0 -> 1,0,0
Deduce rule: xor 0xAA.
Apply to 11101110:
  result = 01000100
Final: \boxed{01000100}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  59,84 -> 5984
  71,95 -> 7195
  68,86 -> 6886
Apply to: 63,52
### Reasoning:
<|cot_start|>Examples:
  59,84 -> 5984
  71,95 -> 7195
  68,86 -> 6886
Check both candidate forms:
  concat(59,84)=5984  rev_concat(59,84)=8459  target=5984  concat
  concat(71,95)=7195  rev_concat(71,95)=9571  target=7195  concat
  concat(68,86)=6886  rev_concat(68,86)=8668  target=6886  concat
Conclude operator: concat.
Apply to (63, 52):  answer = 6352
Final: \boxed{6352}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  00100011 -> 00000011
  00110010 -> 00000010
  01011010 -> 00001010
Apply to: 00010000
### Reasoning:
<|cot_start|>Given examples:
  00100011 -> 00000011
  00110010 -> 00000010
  01011010 -> 00001010
Compare each bit position across the three examples:
  bit 0: 0,0,0 -> 0,0,0
  bit 1: 0,0,1 -> 0,0,0
  bit 2: 1,1,0 -> 0,0,0
  bit 3: 0,1,1 -> 0,0,0
  bit 4: 0,0,1 -> 0,0,1
  bit 5: 0,0,0 -> 0,0,0
  bit 6: 1,1,1 -> 1,1,1
  bit 7: 1,0,0 -> 1,0,0
Deduce rule: and 0x0F.
Apply to 00010000:
  result = 00000000
Final: \boxed{00000000}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  01010101 -> 10101010
  11100001 -> 11110000
  00001101 -> 10000110
Apply to: 11000001
### Reasoning:
<|cot_start|>Given examples:
  01010101 -> 10101010
  11100001 -> 11110000
  00001101 -> 10000110
Compare each bit position across the three examples:
  bit 0: 0,1,0 -> 1,1,1
  bit 1: 1,1,0 -> 0,1,0
  bit 2: 0,1,0 -> 1,1,0
  bit 3: 1,0,0 -> 0,1,0
  bit 4: 0,0,1 -> 1,0,0
  bit 5: 1,0,1 -> 0,0,1
  bit 6: 0,0,0 -> 1,0,1
  bit 7: 1,1,1 -> 0,0,0
Deduce rule: rotate right 1.
Apply to 11000001:
  result = 11100000
Final: \boxed{11100000}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  dzzinro vsce odspp phndqe
### Reasoning:
<|cot_start|>Cipher text: dzzinro vsce odspp phndqe
Try each candidate Wonderland word against each ciphertext word:
  cipher='dzzinro' candidate='alice' length-match=False
  cipher='dzzinro' candidate='rabbit' length-match=False
  cipher='dzzinro' candidate='hatter' length-match=False
  cipher='dzzinro' candidate='cheshire' length-match=False
  cipher='dzzinro' candidate='queen' length-match=False
  cipher='dzzinro' candidate='tea' length-match=False
  cipher='dzzinro' candidate='cake' length-match=False
  cipher='dzzinro' candidate='garden' length-match=False
  cipher='dzzinro' candidate='mushroom' length-match=False
  cipher='dzzinro' candidate='card' length-match=False
  cipher='dzzinro' candidate='card' length-match=False
  cipher='dzzinro' candidate='wonderland' length-match=False
  cipher='dzzinro' candidate='white' length-match=False
  cipher='dzzinro' candidate='down' length-match=False
  cipher='dzzinro' candidate='smile' length-match=False
  cipher='dzzinro' candidate='smiled' length-match=False
  cipher='dzzinro' candidate='looking' length-match=True  <- assign
  cipher='dzzinro' candidate='glass' length-match=False
  cipher='dzzinro' candidate='march' length-match=False
  cipher='dzzinro' candidate='hare' length-match=False
  cipher='dzzinro' candidate='dormouse' length-match=False
  cipher='vsce' candidate='alice' length-match=False
  cipher='vsce' candidate='rabbit' length-match=False
  cipher='vsce' candidate='hatter' length-match=False
  cipher='vsce' candidate='cheshire' length-match=False
  cipher='vsce' candidate='queen' length-match=False
  cipher='vsce' candidate='tea' length-match=False
  cipher='vsce' candidate='cake' length-match=True
  cipher='vsce' candidate='garden' length-match=False
  cipher='vsce' candidate='mushroom' length-match=False
  cipher='vsce' candidate='card' length-match=True  <- assign
  cipher='vsce' candidate='card' length-match=True  <- assign
  cipher='vsce' candidate='wonderland' length-match=False
  cipher='vsce' candidate='white' length-match=False
  cipher='vsce' candidate='down' length-match=True
  cipher='vsce' candidate='smile' length-match=False
  cipher='vsce' candidate='smiled' length-match=False
  cipher='vsce' candidate='looking' length-match=False
  cipher='vsce' candidate='glass' length-match=False
  cipher='vsce' candidate='march' length-match=False
  cipher='vsce' candidate='hare' length-match=True
  cipher='vsce' candidate='dormouse' length-match=False
  cipher='odspp' candidate='alice' length-match=True
  cipher='odspp' candidate='rabbit' length-match=False
  cipher='odspp' candidate='hatter' length-match=False
  cipher='odspp' candidate='cheshire' length-match=False
  cipher='odspp' candidate='queen' length-match=True
  cipher='odspp' candidate='tea' length-match=False
  cipher='odspp' candidate='cake' length-match=False
  cipher='odspp' candidate='garden' length-match=False
  cipher='odspp' candidate='mushroom' length-match=False
  cipher='odspp' candidate='card' length-match=False
  cipher='odspp' candidate='card' length-match=False
  cipher='odspp' candidate='wonderland' length-match=False
  cipher='odspp' candidate='white' length-match=True
  cipher='odspp' candidate='down' length-match=False
  cipher='odspp' candidate='smile' length-match=True
  cipher='odspp' candidate='smiled' length-match=False
  cipher='odspp' candidate='looking' length-match=False
  cipher='odspp' candidate='glass' length-match=True  <- assign
  cipher='odspp' candidate='march' length-match=True
  cipher='odspp' candidate='hare' length-match=False
  cipher='odspp' candidate='dormouse' length-match=False
  cipher='phndqe' candidate='alice' length-match=False
  cipher='phndqe' candidate='rabbit' length-match=True
  cipher='phndqe' candidate='hatter' length-match=True
  cipher='phndqe' candidate='cheshire' length-match=False
  cipher='phndqe' candidate='queen' length-match=False
  cipher='phndqe' candidate='tea' length-match=False
  cipher='phndqe' candidate='cake' length-match=False
  cipher='phndqe' candidate='garden' length-match=True
  cipher='phndqe' candidate='mushroom' length-match=False
  cipher='phndqe' candidate='card' length-match=False
  cipher='phndqe' candidate='card' length-match=False
  cipher='phndqe' candidate='wonderland' length-match=False
  cipher='phndqe' candidate='white' length-match=False
  cipher='phndqe' candidate='down' length-match=False
  cipher='phndqe' candidate='smile' length-match=False
  cipher='phndqe' candidate='smiled' length-match=True  <- assign
  cipher='phndqe' candidate='looking' length-match=False
  cipher='phndqe' candidate='glass' length-match=False
  cipher='phndqe' candidate='march' length-match=False
  cipher='phndqe' candidate='hare' length-match=False
  cipher='phndqe' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  looking card glass smiled
Final: \boxed{looking card glass smiled}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  42,56 -> 4256
  52,56 -> 5256
  17,59 -> 1759
Apply to: 95,53
### Reasoning:
<|cot_start|>Examples:
  42,56 -> 4256
  52,56 -> 5256
  17,59 -> 1759
Check both candidate forms:
  concat(42,56)=4256  rev_concat(42,56)=5642  target=4256  concat
  concat(52,56)=5256  rev_concat(52,56)=5652  target=5256  concat
  concat(17,59)=1759  rev_concat(17,59)=5917  target=1759  concat
Conclude operator: concat.
Apply to (95, 53):  answer = 9553
Final: \boxed{9553}


### Task: numeral
### Problem:
Convert the Roman numeral XXVIII to an integer.
### Reasoning:
<|cot_start|>Reading symbols one by one:
  X = 10  ->  0 + 10 = 10
  X = 10  ->  10 + 10 = 20
  V = 5  ->  20 + 5 = 25
  I = 1  ->  25 + 1 = 26
  I = 1  ->  26 + 1 = 27
  I = 1  ->  27 + 1 = 28
Final: \boxed{28}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  mofnuwwm bhuydj bxhff gwjyduxhjy
### Reasoning:
<|cot_start|>Cipher text: mofnuwwm bhuydj bxhff gwjyduxhjy
Try each candidate Wonderland word against each ciphertext word:
  cipher='mofnuwwm' candidate='alice' length-match=False
  cipher='mofnuwwm' candidate='rabbit' length-match=False
  cipher='mofnuwwm' candidate='hatter' length-match=False
  cipher='mofnuwwm' candidate='cheshire' length-match=True
  cipher='mofnuwwm' candidate='queen' length-match=False
  cipher='mofnuwwm' candidate='tea' length-match=False
  cipher='mofnuwwm' candidate='cake' length-match=False
  cipher='mofnuwwm' candidate='garden' length-match=False
  cipher='mofnuwwm' candidate='mushroom' length-match=True  <- assign
  cipher='mofnuwwm' candidate='card' length-match=False
  cipher='mofnuwwm' candidate='card' length-match=False
  cipher='mofnuwwm' candidate='wonderland' length-match=False
  cipher='mofnuwwm' candidate='white' length-match=False
  cipher='mofnuwwm' candidate='down' length-match=False
  cipher='mofnuwwm' candidate='smile' length-match=False
  cipher='mofnuwwm' candidate='smiled' length-match=False
  cipher='mofnuwwm' candidate='looking' length-match=False
  cipher='mofnuwwm' candidate='glass' length-match=False
  cipher='mofnuwwm' candidate='march' length-match=False
  cipher='mofnuwwm' candidate='hare' length-match=False
  cipher='mofnuwwm' candidate='dormouse' length-match=True
  cipher='bhuydj' candidate='alice' length-match=False
  cipher='bhuydj' candidate='rabbit' length-match=True
  cipher='bhuydj' candidate='hatter' length-match=True
  cipher='bhuydj' candidate='cheshire' length-match=False
  cipher='bhuydj' candidate='queen' length-match=False
  cipher='bhuydj' candidate='tea' length-match=False
  cipher='bhuydj' candidate='cake' length-match=False
  cipher='bhuydj' candidate='garden' length-match=True  <- assign
  cipher='bhuydj' candidate='mushroom' length-match=False
  cipher='bhuydj' candidate='card' length-match=False
  cipher='bhuydj' candidate='card' length-match=False
  cipher='bhuydj' candidate='wonderland' length-match=False
  cipher='bhuydj' candidate='white' length-match=False
  cipher='bhuydj' candidate='down' length-match=False
  cipher='bhuydj' candidate='smile' length-match=False
  cipher='bhuydj' candidate='smiled' length-match=True
  cipher='bhuydj' candidate='looking' length-match=False
  cipher='bhuydj' candidate='glass' length-match=False
  cipher='bhuydj' candidate='march' length-match=False
  cipher='bhuydj' candidate='hare' length-match=False
  cipher='bhuydj' candidate='dormouse' length-match=False
  cipher='bxhff' candidate='alice' length-match=True
  cipher='bxhff' candidate='rabbit' length-match=False
  cipher='bxhff' candidate='hatter' length-match=False
  cipher='bxhff' candidate='cheshire' length-match=False
  cipher='bxhff' candidate='queen' length-match=True
  cipher='bxhff' candidate='tea' length-match=False
  cipher='bxhff' candidate='cake' length-match=False
  cipher='bxhff' candidate='garden' length-match=False
  cipher='bxhff' candidate='mushroom' length-match=False
  cipher='bxhff' candidate='card' length-match=False
  cipher='bxhff' candidate='card' length-match=False
  cipher='bxhff' candidate='wonderland' length-match=False
  cipher='bxhff' candidate='white' length-match=True
  cipher='bxhff' candidate='down' length-match=False
  cipher='bxhff' candidate='smile' length-match=True
  cipher='bxhff' candidate='smiled' length-match=False
  cipher='bxhff' candidate='looking' length-match=False
  cipher='bxhff' candidate='glass' length-match=True  <- assign
  cipher='bxhff' candidate='march' length-match=True
  cipher='bxhff' candidate='hare' length-match=False
  cipher='bxhff' candidate='dormouse' length-match=False
  cipher='gwjyduxhjy' candidate='alice' length-match=False
  cipher='gwjyduxhjy' candidate='rabbit' length-match=False
  cipher='gwjyduxhjy' candidate='hatter' length-match=False
  cipher='gwjyduxhjy' candidate='cheshire' length-match=False
  cipher='gwjyduxhjy' candidate='queen' length-match=False
  cipher='gwjyduxhjy' candidate='tea' length-match=False
  cipher='gwjyduxhjy' candidate='cake' length-match=False
  cipher='gwjyduxhjy' candidate='garden' length-match=False
  cipher='gwjyduxhjy' candidate='mushroom' length-match=False
  cipher='gwjyduxhjy' candidate='card' length-match=False
  cipher='gwjyduxhjy' candidate='card' length-match=False
  cipher='gwjyduxhjy' candidate='wonderland' length-match=True  <- assign
  cipher='gwjyduxhjy' candidate='white' length-match=False
  cipher='gwjyduxhjy' candidate='down' length-match=False
  cipher='gwjyduxhjy' candidate='smile' length-match=False
  cipher='gwjyduxhjy' candidate='smiled' length-match=False
  cipher='gwjyduxhjy' candidate='looking' length-match=False
  cipher='gwjyduxhjy' candidate='glass' length-match=False
  cipher='gwjyduxhjy' candidate='march' length-match=False
  cipher='gwjyduxhjy' candidate='hare' length-match=False
  cipher='gwjyduxhjy' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  mushroom garden glass wonderland
Final: \boxed{mushroom garden glass wonderland}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  osrc ofvdfqrv hppyqmi osyv
### Reasoning:
<|cot_start|>Cipher text: osrc ofvdfqrv hppyqmi osyv
Try each candidate Wonderland word against each ciphertext word:
  cipher='osrc' candidate='alice' length-match=False
  cipher='osrc' candidate='rabbit' length-match=False
  cipher='osrc' candidate='hatter' length-match=False
  cipher='osrc' candidate='cheshire' length-match=False
  cipher='osrc' candidate='queen' length-match=False
  cipher='osrc' candidate='tea' length-match=False
  cipher='osrc' candidate='cake' length-match=True
  cipher='osrc' candidate='garden' length-match=False
  cipher='osrc' candidate='mushroom' length-match=False
  cipher='osrc' candidate='card' length-match=True  <- assign
  cipher='osrc' candidate='card' length-match=True  <- assign
  cipher='osrc' candidate='wonderland' length-match=False
  cipher='osrc' candidate='white' length-match=False
  cipher='osrc' candidate='down' length-match=True
  cipher='osrc' candidate='smile' length-match=False
  cipher='osrc' candidate='smiled' length-match=False
  cipher='osrc' candidate='looking' length-match=False
  cipher='osrc' candidate='glass' length-match=False
  cipher='osrc' candidate='march' length-match=False
  cipher='osrc' candidate='hare' length-match=True
  cipher='osrc' candidate='dormouse' length-match=False
  cipher='ofvdfqrv' candidate='alice' length-match=False
  cipher='ofvdfqrv' candidate='rabbit' length-match=False
  cipher='ofvdfqrv' candidate='hatter' length-match=False
  cipher='ofvdfqrv' candidate='cheshire' length-match=True  <- assign
  cipher='ofvdfqrv' candidate='queen' length-match=False
  cipher='ofvdfqrv' candidate='tea' length-match=False
  cipher='ofvdfqrv' candidate='cake' length-match=False
  cipher='ofvdfqrv' candidate='garden' length-match=False
  cipher='ofvdfqrv' candidate='mushroom' length-match=True
  cipher='ofvdfqrv' candidate='card' length-match=False
  cipher='ofvdfqrv' candidate='card' length-match=False
  cipher='ofvdfqrv' candidate='wonderland' length-match=False
  cipher='ofvdfqrv' candidate='white' length-match=False
  cipher='ofvdfqrv' candidate='down' length-match=False
  cipher='ofvdfqrv' candidate='smile' length-match=False
  cipher='ofvdfqrv' candidate='smiled' length-match=False
  cipher='ofvdfqrv' candidate='looking' length-match=False
  cipher='ofvdfqrv' candidate='glass' length-match=False
  cipher='ofvdfqrv' candidate='march' length-match=False
  cipher='ofvdfqrv' candidate='hare' length-match=False
  cipher='ofvdfqrv' candidate='dormouse' length-match=True
  cipher='hppyqmi' candidate='alice' length-match=False
  cipher='hppyqmi' candidate='rabbit' length-match=False
  cipher='hppyqmi' candidate='hatter' length-match=False
  cipher='hppyqmi' candidate='cheshire' length-match=False
  cipher='hppyqmi' candidate='queen' length-match=False
  cipher='hppyqmi' candidate='tea' length-match=False
  cipher='hppyqmi' candidate='cake' length-match=False
  cipher='hppyqmi' candidate='garden' length-match=False
  cipher='hppyqmi' candidate='mushroom' length-match=False
  cipher='hppyqmi' candidate='card' length-match=False
  cipher='hppyqmi' candidate='card' length-match=False
  cipher='hppyqmi' candidate='wonderland' length-match=False
  cipher='hppyqmi' candidate='white' length-match=False
  cipher='hppyqmi' candidate='down' length-match=False
  cipher='hppyqmi' candidate='smile' length-match=False
  cipher='hppyqmi' candidate='smiled' length-match=False
  cipher='hppyqmi' candidate='looking' length-match=True  <- assign
  cipher='hppyqmi' candidate='glass' length-match=False
  cipher='hppyqmi' candidate='march' length-match=False
  cipher='hppyqmi' candidate='hare' length-match=False
  cipher='hppyqmi' candidate='dormouse' length-match=False
  cipher='osyv' candidate='alice' length-match=False
  cipher='osyv' candidate='rabbit' length-match=False
  cipher='osyv' candidate='hatter' length-match=False
  cipher='osyv' candidate='cheshire' length-match=False
  cipher='osyv' candidate='queen' length-match=False
  cipher='osyv' candidate='tea' length-match=False
  cipher='osyv' candidate='cake' length-match=True  <- assign
  cipher='osyv' candidate='garden' length-match=False
  cipher='osyv' candidate='mushroom' length-match=False
  cipher='osyv' candidate='card' length-match=True
  cipher='osyv' candidate='card' length-match=True
  cipher='osyv' candidate='wonderland' length-match=False
  cipher='osyv' candidate='white' length-match=False
  cipher='osyv' candidate='down' length-match=True
  cipher='osyv' candidate='smile' length-match=False
  cipher='osyv' candidate='smiled' length-match=False
  cipher='osyv' candidate='looking' length-match=False
  cipher='osyv' candidate='glass' length-match=False
  cipher='osyv' candidate='march' length-match=False
  cipher='osyv' candidate='hare' length-match=True
  cipher='osyv' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  card cheshire looking cake
Final: \boxed{card cheshire looking cake}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  wukc mbbqnrs umnwv xuhhvk
### Reasoning:
<|cot_start|>Cipher text: wukc mbbqnrs umnwv xuhhvk
Try each candidate Wonderland word against each ciphertext word:
  cipher='wukc' candidate='alice' length-match=False
  cipher='wukc' candidate='rabbit' length-match=False
  cipher='wukc' candidate='hatter' length-match=False
  cipher='wukc' candidate='cheshire' length-match=False
  cipher='wukc' candidate='queen' length-match=False
  cipher='wukc' candidate='tea' length-match=False
  cipher='wukc' candidate='cake' length-match=True
  cipher='wukc' candidate='garden' length-match=False
  cipher='wukc' candidate='mushroom' length-match=False
  cipher='wukc' candidate='card' length-match=True  <- assign
  cipher='wukc' candidate='card' length-match=True  <- assign
  cipher='wukc' candidate='wonderland' length-match=False
  cipher='wukc' candidate='white' length-match=False
  cipher='wukc' candidate='down' length-match=True
  cipher='wukc' candidate='smile' length-match=False
  cipher='wukc' candidate='smiled' length-match=False
  cipher='wukc' candidate='looking' length-match=False
  cipher='wukc' candidate='glass' length-match=False
  cipher='wukc' candidate='march' length-match=False
  cipher='wukc' candidate='hare' length-match=True
  cipher='wukc' candidate='dormouse' length-match=False
  cipher='mbbqnrs' candidate='alice' length-match=False
  cipher='mbbqnrs' candidate='rabbit' length-match=False
  cipher='mbbqnrs' candidate='hatter' length-match=False
  cipher='mbbqnrs' candidate='cheshire' length-match=False
  cipher='mbbqnrs' candidate='queen' length-match=False
  cipher='mbbqnrs' candidate='tea' length-match=False
  cipher='mbbqnrs' candidate='cake' length-match=False
  cipher='mbbqnrs' candidate='garden' length-match=False
  cipher='mbbqnrs' candidate='mushroom' length-match=False
  cipher='mbbqnrs' candidate='card' length-match=False
  cipher='mbbqnrs' candidate='card' length-match=False
  cipher='mbbqnrs' candidate='wonderland' length-match=False
  cipher='mbbqnrs' candidate='white' length-match=False
  cipher='mbbqnrs' candidate='down' length-match=False
  cipher='mbbqnrs' candidate='smile' length-match=False
  cipher='mbbqnrs' candidate='smiled' length-match=False
  cipher='mbbqnrs' candidate='looking' length-match=True  <- assign
  cipher='mbbqnrs' candidate='glass' length-match=False
  cipher='mbbqnrs' candidate='march' length-match=False
  cipher='mbbqnrs' candidate='hare' length-match=False
  cipher='mbbqnrs' candidate='dormouse' length-match=False
  cipher='umnwv' candidate='alice' length-match=True  <- assign
  cipher='umnwv' candidate='rabbit' length-match=False
  cipher='umnwv' candidate='hatter' length-match=False
  cipher='umnwv' candidate='cheshire' length-match=False
  cipher='umnwv' candidate='queen' length-match=True
  cipher='umnwv' candidate='tea' length-match=False
  cipher='umnwv' candidate='cake' length-match=False
  cipher='umnwv' candidate='garden' length-match=False
  cipher='umnwv' candidate='mushroom' length-match=False
  cipher='umnwv' candidate='card' length-match=False
  cipher='umnwv' candidate='card' length-match=False
  cipher='umnwv' candidate='wonderland' length-match=False
  cipher='umnwv' candidate='white' length-match=True
  cipher='umnwv' candidate='down' length-match=False
  cipher='umnwv' candidate='smile' length-match=True
  cipher='umnwv' candidate='smiled' length-match=False
  cipher='umnwv' candidate='looking' length-match=False
  cipher='umnwv' candidate='glass' length-match=True
  cipher='umnwv' candidate='march' length-match=True
  cipher='umnwv' candidate='hare' length-match=False
  cipher='umnwv' candidate='dormouse' length-match=False
  cipher='xuhhvk' candidate='alice' length-match=False
  cipher='xuhhvk' candidate='rabbit' length-match=True
  cipher='xuhhvk' candidate='hatter' length-match=True  <- assign
  cipher='xuhhvk' candidate='cheshire' length-match=False
  cipher='xuhhvk' candidate='queen' length-match=False
  cipher='xuhhvk' candidate='tea' length-match=False
  cipher='xuhhvk' candidate='cake' length-match=False
  cipher='xuhhvk' candidate='garden' length-match=True
  cipher='xuhhvk' candidate='mushroom' length-match=False
  cipher='xuhhvk' candidate='card' length-match=False
  cipher='xuhhvk' candidate='card' length-match=False
  cipher='xuhhvk' candidate='wonderland' length-match=False
  cipher='xuhhvk' candidate='white' length-match=False
  cipher='xuhhvk' candidate='down' length-match=False
  cipher='xuhhvk' candidate='smile' length-match=False
  cipher='xuhhvk' candidate='smiled' length-match=True
  cipher='xuhhvk' candidate='looking' length-match=False
  cipher='xuhhvk' candidate='glass' length-match=False
  cipher='xuhhvk' candidate='march' length-match=False
  cipher='xuhhvk' candidate='hare' length-match=False
  cipher='xuhhvk' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  card looking alice hatter
Final: \boxed{card looking alice hatter}


### Task: unit
### Problem:
Convert 61 kilometres to metres.
### Reasoning:
<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.
So 61 kilometres = 61 * 1000 metres.
Compute step by step:
  6 * 10^1 * 1000 = 60000
  running total = 60000
  1 * 10^0 * 1000 = 1000
  running total = 61000
Final: \boxed{61000}


### Task: unit
### Problem:
Convert 13 minutes to seconds.
### Reasoning:
<|cot_start|>Conversion factor: 1 minutes = 60 seconds.
So 13 minutes = 13 * 60 seconds.
Compute step by step:
  1 * 10^1 * 60 = 600
  running total = 600
  3 * 10^0 * 60 = 180
  running total = 780
Final: \boxed{780}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  silm mnlondjv kpijj silm
### Reasoning:
<|cot_start|>Cipher text: silm mnlondjv kpijj silm
Try each candidate Wonderland word against each ciphertext word:
  cipher='silm' candidate='alice' length-match=False
  cipher='silm' candidate='rabbit' length-match=False
  cipher='silm' candidate='hatter' length-match=False
  cipher='silm' candidate='cheshire' length-match=False
  cipher='silm' candidate='queen' length-match=False
  cipher='silm' candidate='tea' length-match=False
  cipher='silm' candidate='cake' length-match=True
  cipher='silm' candidate='garden' length-match=False
  cipher='silm' candidate='mushroom' length-match=False
  cipher='silm' candidate='card' length-match=True  <- assign
  cipher='silm' candidate='card' length-match=True  <- assign
  cipher='silm' candidate='wonderland' length-match=False
  cipher='silm' candidate='white' length-match=False
  cipher='silm' candidate='down' length-match=True
  cipher='silm' candidate='smile' length-match=False
  cipher='silm' candidate='smiled' length-match=False
  cipher='silm' candidate='looking' length-match=False
  cipher='silm' candidate='glass' length-match=False
  cipher='silm' candidate='march' length-match=False
  cipher='silm' candidate='hare' length-match=True
  cipher='silm' candidate='dormouse' length-match=False
  cipher='mnlondjv' candidate='alice' length-match=False
  cipher='mnlondjv' candidate='rabbit' length-match=False
  cipher='mnlondjv' candidate='hatter' length-match=False
  cipher='mnlondjv' candidate='cheshire' length-match=True
  cipher='mnlondjv' candidate='queen' length-match=False
  cipher='mnlondjv' candidate='tea' length-match=False
  cipher='mnlondjv' candidate='cake' length-match=False
  cipher='mnlondjv' candidate='garden' length-match=False
  cipher='mnlondjv' candidate='mushroom' length-match=True
  cipher='mnlondjv' candidate='card' length-match=False
  cipher='mnlondjv' candidate='card' length-match=False
  cipher='mnlondjv' candidate='wonderland' length-match=False
  cipher='mnlondjv' candidate='white' length-match=False
  cipher='mnlondjv' candidate='down' length-match=False
  cipher='mnlondjv' candidate='smile' length-match=False
  cipher='mnlondjv' candidate='smiled' length-match=False
  cipher='mnlondjv' candidate='looking' length-match=False
  cipher='mnlondjv' candidate='glass' length-match=False
  cipher='mnlondjv' candidate='march' length-match=False
  cipher='mnlondjv' candidate='hare' length-match=False
  cipher='mnlondjv' candidate='dormouse' length-match=True  <- assign
  cipher='kpijj' candidate='alice' length-match=True
  cipher='kpijj' candidate='rabbit' length-match=False
  cipher='kpijj' candidate='hatter' length-match=False
  cipher='kpijj' candidate='cheshire' length-match=False
  cipher='kpijj' candidate='queen' length-match=True
  cipher='kpijj' candidate='tea' length-match=False
  cipher='kpijj' candidate='cake' length-match=False
  cipher='kpijj' candidate='garden' length-match=False
  cipher='kpijj' candidate='mushroom' length-match=False
  cipher='kpijj' candidate='card' length-match=False
  cipher='kpijj' candidate='card' length-match=False
  cipher='kpijj' candidate='wonderland' length-match=False
  cipher='kpijj' candidate='white' length-match=True
  cipher='kpijj' candidate='down' length-match=False
  cipher='kpijj' candidate='smile' length-match=True
  cipher='kpijj' candidate='smiled' length-match=False
  cipher='kpijj' candidate='looking' length-match=False
  cipher='kpijj' candidate='glass' length-match=True  <- assign
  cipher='kpijj' candidate='march' length-match=True
  cipher='kpijj' candidate='hare' length-match=False
  cipher='kpijj' candidate='dormouse' length-match=False
  cipher='silm' candidate='alice' length-match=False
  cipher='silm' candidate='rabbit' length-match=False
  cipher='silm' candidate='hatter' length-match=False
  cipher='silm' candidate='cheshire' length-match=False
  cipher='silm' candidate='queen' length-match=False
  cipher='silm' candidate='tea' length-match=False
  cipher='silm' candidate='cake' length-match=True
  cipher='silm' candidate='garden' length-match=False
  cipher='silm' candidate='mushroom' length-match=False
  cipher='silm' candidate='card' length-match=True  <- assign
  cipher='silm' candidate='card' length-match=True  <- assign
  cipher='silm' candidate='wonderland' length-match=False
  cipher='silm' candidate='white' length-match=False
  cipher='silm' candidate='down' length-match=True
  cipher='silm' candidate='smile' length-match=False
  cipher='silm' candidate='smiled' length-match=False
  cipher='silm' candidate='looking' length-match=False
  cipher='silm' candidate='glass' length-match=False
  cipher='silm' candidate='march' length-match=False
  cipher='silm' candidate='hare' length-match=True
  cipher='silm' candidate='dormouse' length-match=False
Assemble the decoded sentence:
  card dormouse glass card
Final: \boxed{card dormouse glass card}


### Task: unit
### Problem:
Convert 85 days to hours.
### Reasoning:
<|cot_start|>Conversion factor: 1 days = 24 hours.
So 85 days = 85 * 24 hours.
Compute step by step:
  8 * 10^1 * 24 = 1920
  running total = 1920
  5 * 10^0 * 24 = 120
  running total = 2040
Final: \boxed{2040}


### Task: unit
### Problem:
Convert 79 kilometres to metres.
### Reasoning:
<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.
So 79 kilometres = 79 * 1000 metres.
Compute step by step:
  7 * 10^1 * 1000 = 70000
  running total = 70000
  9 * 10^0 * 1000 = 9000
  running total = 79000
Final: \boxed{79000}


### Task: gravity
### Problem:
A mass of 34 kg is in free fall.  Compute the gravitational force in Newtons (g = 9.81 m/s^2).
### Reasoning:
<|cot_start|>Use g = 9.81 m/s^2  (work in cN = 100x N to stay integer).
F = m * g_cN = 34 * 981.
Step-by-step multiplication:
  3 * 10^1 * 981 = 29430
  running total = 29430
  4 * 10^0 * 981 = 3924
  running total = 33354
So F = 33354 centiNewtons = 333.54 N.
Final: \boxed{333.54}


### Task: equation
### Problem:
Discover the operator from examples then apply it:
  50,76 -> 3926
  36,26 -> 998
  88,48 -> 4360
Apply to: 80,47
### Reasoning:
<|cot_start|>Test candidate operators on the examples:
  50,76: '+' gives 126; target=3926  no
  50,76: '-' gives 26; target=3926  no
  50,76: '*' gives 3800; target=3926  no
  50,76: 'concat' gives 5076; target=3926  no
  50,76: 'rev_concat' gives 7650; target=3926  no
  50,76: 'max*min+sum' gives 3926; target=3926  MATCH
  50,76: 'digitsum2' gives 324; target=3926  no
  36,26: '+' gives 62; target=998  no
  36,26: '-' gives 10; target=998  no
  36,26: '*' gives 936; target=998  no
  36,26: 'concat' gives 3626; target=998  no
  36,26: 'rev_concat' gives 2636; target=998  no
  36,26: 'max*min+sum' gives 998; target=998  MATCH
  36,26: 'digitsum2' gives 289; target=998  no
  88,48: '+' gives 136; target=4360  no
  88,48: '-' gives 40; target=4360  no
  88,48: '*' gives 4224; target=4360  no
  88,48: 'concat' gives 8848; target=4360  no
  88,48: 'rev_concat' gives 4888; target=4360  no
  88,48: 'max*min+sum' gives 4360; target=4360  MATCH
  88,48: 'digitsum2' gives 784; target=4360  no
The only operator consistent with all examples is 'max*min+sum'.
Apply to (80, 47):
  result = 3887
Final: \boxed{3887}


### Task: gravity
### Problem:
A mass of 40 kg is in free fall.  Compute the gravitational force in Newtons (g = 9.81 m/s^2).
### Reasoning:
<|cot_start|>Use g = 9.81 m/s^2  (work in cN = 100x N to stay integer).
F = m * g_cN = 40 * 981.
Step-by-step multiplication:
  4 * 10^1 * 981 = 39240
  running total = 39240
  0 * 10^0 * 981 = 0
  running total = 39240
So F = 39240 centiNewtons = 392.40 N.
Final: \boxed{392.40}


### Task: gravity
### Problem:
A mass of 13 kg is in free fall.  Compute the gravitational force in Newtons (g = 9.81 m/s^2).
### Reasoning:
<|cot_start|>Use g = 9.81 m/s^2  (work in cN = 100x N to stay integer).
F = m * g_cN = 13 * 981.
Step-by-step multiplication:
  1 * 10^1 * 981 = 9810
  running total = 9810
  3 * 10^0 * 981 = 2943
  running total = 12753
So F = 12753 centiNewtons = 127.53 N.
Final: \boxed{127.53}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  28,15 -> 2815
  20,14 -> 2014
  91,55 -> 9155
Apply to: 36,62
### Reasoning:
<|cot_start|>Examples:
  28,15 -> 2815
  20,14 -> 2014
  91,55 -> 9155
Check both candidate forms:
  concat(28,15)=2815  rev_concat(28,15)=1528  target=2815  concat
  concat(20,14)=2014  rev_concat(20,14)=1420  target=2014  concat
  concat(91,55)=9155  rev_concat(91,55)=5591  target=9155  concat
Conclude operator: concat.
Apply to (36, 62):  answer = 3662
Final: \boxed{3662}


### Task: bit
### Problem:
Discover the 8-bit transformation rule from examples then apply it.
Examples:
  00100010 -> 00000010
  00011110 -> 00001110
  10010110 -> 00000110
Apply to: 01110000
### Reasoning:
<|cot_start|>Given examples:
  00100010 -> 00000010
  00011110 -> 00001110
  10010110 -> 00000110
Compare each bit position across the three examples:
  bit 0: 0,0,1 -> 0,0,0
  bit 1: 0,0,0 -> 0,0,0
  bit 2: 1,0,0 -> 0,0,0
  bit 3: 0,1,1 -> 0,0,0
  bit 4: 0,1,0 -> 0,1,0
  bit 5: 0,1,1 -> 0,1,1
  bit 6: 1,1,1 -> 1,1,1
  bit 7: 0,0,0 -> 0,0,0
Deduce rule: and 0x0F.
Apply to 01110000:
  result = 00000000
Final: \boxed{00000000}


### Task: cipher
### Problem:
Decode the following substitution cipher (Wonderland themed):
  etvy otgy xsyyu eoyzopgy
### Reasoning:
<|cot_start|>Cipher text: etvy otgy xsyyu eoyzopgy
Try each candidate Wonderland word against each ciphertext word:
  cipher='etvy' candidate='alice' length-match=False
  cipher='etvy' candidate='rabbit' length-match=False
  cipher='etvy' candidate='hatter' length-match=False
  cipher='etvy' candidate='cheshire' length-match=False
  cipher='etvy' candidate='queen' length-match=False
  cipher='etvy' candidate='tea' length-match=False
  cipher='etvy' candidate='cake' length-match=True  <- assign
  cipher='etvy' candidate='garden' length-match=False
  cipher='etvy' candidate='mushroom' length-match=False
  cipher='etvy' candidate='card' length-match=True
  cipher='etvy' candidate='card' length-match=True
  cipher='etvy' candidate='wonderland' length-match=False
  cipher='etvy' candidate='white' length-match=False
  cipher='etvy' candidate='down' length-match=True
  cipher='etvy' candidate='smile' length-match=False
  cipher='etvy' candidate='smiled' length-match=False
  cipher='etvy' candidate='looking' length-match=False
  cipher='etvy' candidate='glass' length-match=False
  cipher='etvy' candidate='march' length-match=False
  cipher='etvy' candidate='hare' length-match=True
  cipher='etvy' candidate='dormouse' length-match=False
  cipher='otgy' candidate='alice' length-match=False
  cipher='otgy' candidate='rabbit' length-match=False
  cipher='otgy' candidate='hatter' length-match=False
  cipher='otgy' candidate='cheshire' length-match=False
  cipher='otgy' candidate='queen' length-match=False
  cipher='otgy' candidate='tea' length-match=False
  cipher='otgy' candidate='cake' length-match=True
  cipher='otgy' candidate='garden' length-match=False
  cipher='otgy' candidate='mushroom' length-match=False
  cipher='otgy' candidate='card' length-match=True
  cipher='otgy' candidate='card' length-match=True
  cipher='otgy' candidate='wonderland' length-match=False
  cipher='otgy' candidate='white' length-match=False
  cipher='otgy' candidate='down' length-match=True
  cipher='otgy' candidate='smile' length-match=False
  cipher='otgy' candidate='smiled' length-match=False
  cipher='otgy' candidate='looking' length-match=False
  cipher='otgy' candidate='glass' length-match=False
  cipher='otgy' candidate='march' length-match=False
  cipher='otgy' candidate='hare' length-match=True  <- assign
  cipher='otgy' candidate='dormouse' length-match=False
  cipher='xsyyu' candidate='alice' length-match=True
  cipher='xsyyu' candidate='rabbit' length-match=False
  cipher='xsyyu' candidate='hatter' length-match=False
  cipher='xsyyu' candidate='cheshire' length-match=False
  cipher='xsyyu' candidate='queen' length-match=True  <- assign
  cipher='xsyyu' candidate='tea' length-match=False
  cipher='xsyyu' candidate='cake' length-match=False
  cipher='xsyyu' candidate='garden' length-match=False
  cipher='xsyyu' candidate='mushroom' length-match=False
  cipher='xsyyu' candidate='card' length-match=False
  cipher='xsyyu' candidate='card' length-match=False
  cipher='xsyyu' candidate='wonderland' length-match=False
  cipher='xsyyu' candidate='white' length-match=True
  cipher='xsyyu' candidate='down' length-match=False
  cipher='xsyyu' candidate='smile' length-match=True
  cipher='xsyyu' candidate='smiled' length-match=False
  cipher='xsyyu' candidate='looking' length-match=False
  cipher='xsyyu' candidate='glass' length-match=True
  cipher='xsyyu' candidate='march' length-match=True
  cipher='xsyyu' candidate='hare' length-match=False
  cipher='xsyyu' candidate='dormouse' length-match=False
  cipher='eoyzopgy' candidate='alice' length-match=False
  cipher='eoyzopgy' candidate='rabbit' length-match=False
  cipher='eoyzopgy' candidate='hatter' length-match=False
  cipher='eoyzopgy' candidate='cheshire' length-match=True  <- assign
  cipher='eoyzopgy' candidate='queen' length-match=False
  cipher='eoyzopgy' candidate='tea' length-match=False
  cipher='eoyzopgy' candidate='cake' length-match=False
  cipher='eoyzopgy' candidate='garden' length-match=False
  cipher='eoyzopgy' candidate='mushroom' length-match=True
  cipher='eoyzopgy' candidate='card' length-match=False
  cipher='eoyzopgy' candidate='card' length-match=False
  cipher='eoyzopgy' candidate='wonderland' length-match=False
  cipher='eoyzopgy' candidate='white' length-match=False
  cipher='eoyzopgy' candidate='down' length-match=False
  cipher='eoyzopgy' candidate='smile' length-match=False
  cipher='eoyzopgy' candidate='smiled' length-match=False
  cipher='eoyzopgy' candidate='looking' length-match=False
  cipher='eoyzopgy' candidate='glass' length-match=False
  cipher='eoyzopgy' candidate='march' length-match=False
  cipher='eoyzopgy' candidate='hare' length-match=False
  cipher='eoyzopgy' candidate='dormouse' length-match=True
Assemble the decoded sentence:
  cake hare queen cheshire
Final: \boxed{cake hare queen cheshire}


### Task: cryptarithm
### Problem:
Cryptarithm-style mapping.  Examples:
  37,90 -> 9037
  81,61 -> 6181
  51,45 -> 4551
Apply to: 39,86
### Reasoning:
<|cot_start|>Examples:
  37,90 -> 9037
  81,61 -> 6181
  51,45 -> 4551
Check both candidate forms:
  concat(37,90)=3790  rev_concat(37,90)=9037  target=9037  rev_concat
  concat(81,61)=8161  rev_concat(81,61)=6181  target=6181  rev_concat
  concat(51,45)=5145  rev_concat(51,45)=4551  target=4551  rev_concat
Conclude operator: rev_concat.
Apply to (39, 86):  answer = 8639
Final: \boxed{8639}


### Task: unit
### Problem:
Convert 36 minutes to seconds.
### Reasoning:
<|cot_start|>Conversion factor: 1 minutes = 60 seconds.
So 36 minutes = 36 * 60 seconds.
Compute step by step:
  3 * 10^1 * 60 = 1800
  running total = 1800
  6 * 10^0 * 60 = 360
  running total = 2160
Final: \boxed{2160}


### Task: unit
### Problem:
Convert 59 kilometres to metres.
### Reasoning:
<|cot_start|>Conversion factor: 1 kilometres = 1000 metres.
So 59 kilometres = 59 * 1000 metres.
Compute step by step:
  5 * 10^1 * 1000 = 50000
  running total = 50000
  9 * 10^0 * 1000 = 9000
  running total = 59000
Final: \boxed{59000}