task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 353+591 | d2:3+1+0=4→w4,c0 ; d1:5+9+0=14→w4,c1 ; d0:3+5+1=9→w9,c0 ; sum=944 |
list_summation | list_summation:right-to-left | 4, 8, 4, 2 | 4+2=6 ; 8+6=14 ; 4+14=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=109,base=8 | DIV:109/8=13,r:5 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:155 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=-63 | 9x-45=-63 ; x=(-63--45)/9 ; x=-18/9 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=5 | 5x-40=5 ; x+-8=1 ; x=1--8 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(3,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 2, 1, 6 | [7,2,8,1,6] ; [7,2,1,8,6] ; [7,2,1,6,8] ; [2,7,1,6,8] ; [2,1,7,6,8] ; [2,1,6,7,8] ; [1,2,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 7, 1, 3 | [3,6,7,1,9] ; [7,6,3,1,9] ; [1,6,3,7,9] ; [6,1,3,7,9] ; [3,1,6,7,9] ; [1,3,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 764+450 | d2:4+0+0=4→w4,c0 ; d1:6+5+0=11→w1,c1 ; d0:7+4+1=12→w2,c1 ; sum=1214 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 0, 8, 1 | [4,0,9,8,1] ; [4,0,8,9,1] ; [4,0,8,1,9] ; [0,4,8,1,9] ; [0,4,1,8,9] ; [0,1,4,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,1) | R:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 248+642 | round:250+642=892 ; adjust:892-2=890 ; sum=890 |
base_conversion | base_conversion:repeated-division | n=26,base=8 | DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:32 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 4, 5, 7 | [1,3,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 495+800 | round:500+800=1300 ; adjust:1300-5=1295 ; sum=1295 |
multidigit_addition | multidigit_addition:rounding-decomposition | 100+770 | round:100+770=870 ; adjust:870-0=870 ; sum=870 |
multidigit_addition | multidigit_addition:left-to-right-partials | 733+916 | p100:700+900=1600 ; p10:30+10=40 ; p1:3+6=9 ; sum=1600+40+9=1649 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,3) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) |
list_summation | list_summation:pairwise | 8, 7, 6, 2 | 8+7=15 ; 6+2=8 ; 15+8=23 |
base_conversion | base_conversion:via-binary | n=114,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:1302 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 592+530 | round:600+530=1130 ; adjust:1130-8=1122 ; sum=1122 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 1, 4, 5, 3 | [0,1,4,3,5] ; [0,1,3,4,5] |
base_conversion | base_conversion:decomposition | n=246,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:3312 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,4) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 8, 5, 1 | [2,4,8,5,1] ; [2,4,8,5,1] ; [2,4,5,8,1] ; [1,2,4,5,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 406+719 | d2:6+9+0=15→w5,c1 ; d1:0+1+1=2→w2,c0 ; d0:4+7+0=11→w1,c1 ; sum=1125 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,1) | R:(3,1) ; D:(4,1) ; D:(5,1) |
base_conversion | base_conversion:repeated-division | n=155,base=4 | DIV:155/4=38,r:3 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2123 |
base_conversion | base_conversion:decomposition | n=125,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1331 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 2, 3, 4 | [0,9,2,3,4] ; [0,2,9,3,4] ; [0,2,3,9,4] ; [0,2,3,4,9] |
base_conversion | base_conversion:repeated-division | n=6,base=16 | DIV:6/16=0,r:6 ; OUT:6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 683+780 | d2:3+0+0=3→w3,c0 ; d1:8+8+0=16→w6,c1 ; d0:6+7+1=14→w4,c1 ; sum=1463 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=24 | 8x+8=24 ; x+1=3 ; x=3-1 ; x=2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 488+881 | round:490+881=1371 ; adjust:1371-2=1369 ; sum=1369 |
multidigit_addition | multidigit_addition:right-to-left-carry | 267+105 | d2:7+5+0=12→w2,c1 ; d1:6+0+1=7→w7,c0 ; d0:2+1+0=3→w3,c0 ; sum=372 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 2, 7, 6 | [3,4,2,7,6] ; [2,3,4,7,6] ; [2,3,4,7,6] ; [2,3,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 4, 1, 2 | [1,3,4,7,2] ; [1,2,4,7,3] ; [1,2,3,7,4] ; [1,2,3,4,7] |
base_conversion | base_conversion:repeated-division | n=182,base=8 | DIV:182/8=22,r:6 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:266 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-63=-21 | 7x-63=-21 ; x=(-21--63)/7 ; x=42/7 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 901+905 | d2:1+5+0=6→w6,c0 ; d1:0+0+0=0→w0,c0 ; d0:9+9+0=18→w8,c1 ; sum=1806 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,5) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 405+416 | d2:5+6+0=11→w1,c1 ; d1:0+1+1=2→w2,c0 ; d0:4+4+0=8→w8,c0 ; sum=821 |
base_conversion | base_conversion:decomposition | n=237,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11101101 |
list_summation | list_summation:left-to-right | 0, 2, 5, 9 | 0+2=2 ; 2+5=7 ; 7+9=16 |
base_conversion | base_conversion:repeated-division | n=21,base=16 | DIV:21/16=1,r:5 ; DIV:1/16=0,r:1 ; OUT:15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=40 | 8x+8=40 ; x+1=5 ; x=5-1 ; x=4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 3, 4, 0 | [1,5,3,4,0] ; [1,3,5,4,0] ; [1,3,4,5,0] ; [0,1,3,4,5] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=12 | 4x+0=12 ; 4x=12 ; x=3 |
base_conversion | base_conversion:repeated-division | n=149,base=2 | DIV:149/2=74,r:1 ; DIV:74/2=37,r:0 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 3, 6, 8, 5 | [2,3,6,5,8] ; [2,3,5,6,8] |
list_summation | list_summation:pairwise | 3, 6, 2, 4 | 3+6=9 ; 2+4=6 ; 9+6=15 |
base_conversion | base_conversion:repeated-division | n=17,base=16 | DIV:17/16=1,r:1 ; DIV:1/16=0,r:1 ; OUT:11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 2, 3, 0 | [4,5,2,3,0] ; [2,4,5,3,0] ; [2,3,4,5,0] ; [0,2,3,4,5] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=-27 | 3x-9=-27 ; x+-3=-9 ; x=-9--3 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=-35 | 5x-15=-35 ; 5x=-20 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=48 | 6x+6=48 ; x=(48-6)/6 ; x=42/6 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=10 | 5x+5=10 ; 5x=5 ; x=1 |
base_conversion | base_conversion:decomposition | n=38,base=4 | TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:212 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=-10 | 5x-25=-10 ; x+-5=-2 ; x=-2--5 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-54=-108 | 9x-54=-108 ; 9x=-54 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=141,base=2 | DIV:141/2=70,r:1 ; DIV:70/2=35,r:0 ; DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10001101 |
list_summation | list_summation:right-to-left | 7, 0, 4, 6 | 4+6=10 ; 0+10=10 ; 7+10=17 |
list_summation | list_summation:right-to-left | 6, 4, 5, 5 | 5+5=10 ; 4+10=14 ; 6+14=20 |
list_summation | list_summation:pairwise | 5, 3, 6, 6 | 5+3=8 ; 6+6=12 ; 8+12=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 561+115 | round:570+115=685 ; adjust:685-9=676 ; sum=676 |
list_summation | list_summation:right-to-left | 5, 9, 1, 1 | 1+1=2 ; 9+2=11 ; 5+11=16 |
base_conversion | base_conversion:via-binary | n=243,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3303 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 6, 2, 4 | [1,5,6,2,4] ; [1,2,6,5,4] ; [1,2,4,5,6] ; [1,2,4,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 801+723 | round:810+723=1533 ; adjust:1533-9=1524 ; sum=1524 |
base_conversion | base_conversion:decomposition | n=62,base=16 | TERM:3*16^1=48 ; TERM:14*16^0=14 ; OUT:3E |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
base_conversion | base_conversion:via-binary | n=23,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:7 ; OUT:17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 531+977 | p100:500+900=1400 ; p10:30+70=100 ; p1:1+7=8 ; sum=1400+100+8=1508 |
multidigit_addition | multidigit_addition:right-to-left-carry | 945+659 | d2:5+9+0=14→w4,c1 ; d1:4+5+1=10→w0,c1 ; d0:9+6+1=16→w6,c1 ; sum=1604 |
list_summation | list_summation:right-to-left | 7, 9, 8, 1 | 8+1=9 ; 9+9=18 ; 7+18=25 |
base_conversion | base_conversion:decomposition | n=192,base=16 | TERM:12*16^1=192 ; TERM:0*16^0=0 ; OUT:C0 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 0, 3, 1 | [8,2,0,3,1] ; [8,3,0,2,1] ; [1,3,0,2,8] ; [3,1,0,2,8] ; [3,2,0,1,8] ; [1,2,0,3,8] ; [2,1,0,3,8] ; [0,1,2,3,8] ; [1,0,2,3,8] ; [0,1,2,3,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-63=-36 | 9x-63=-36 ; x=(-36--63)/9 ; x=27/9 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 462+546 | round:470+546=1016 ; adjust:1016-8=1008 ; sum=1008 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,5) | D:(2,3) ; R:(2,4) ; R:(2,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=-72 | 6x-18=-72 ; x+-3=-12 ; x=-12--3 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 5, 5, 1, 5 | 5+5=10 ; 10+1=11 ; 11+5=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 184+921 | d2:4+1+0=5→w5,c0 ; d1:8+2+0=10→w0,c1 ; d0:1+9+1=11→w1,c1 ; sum=1105 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 2, 1, 8 | [0,8,2,1,5] ; [8,0,2,1,5] ; [8,5,2,1,0] ; [0,5,2,1,8] ; [5,0,2,1,8] ; [5,1,2,0,8] ; [0,1,2,5,8] ; [2,1,0,5,8] ; [0,1,2,5,8] ; [1,0,2,5,8] ; [0,1,2,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 616+935 | round:620+935=1555 ; adjust:1555-4=1551 ; sum=1551 |
base_conversion | base_conversion:decomposition | n=39,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:100111 |
base_conversion | base_conversion:via-binary | n=20,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:4 ; OUT:24 |
base_conversion | base_conversion:repeated-division | n=10,base=2 | DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010 |
base_conversion | base_conversion:via-binary | n=191,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:15 ; OUT:BF |
list_summation | list_summation:left-to-right | 4, 5, 7, 7 | 4+5=9 ; 9+7=16 ; 16+7=23 |
base_conversion | base_conversion:decomposition | n=140,base=16 | TERM:8*16^1=128 ; TERM:12*16^0=12 ; OUT:8C |
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