task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 2, 0, 8 | [1,6,2,0,8] ; [1,2,6,0,8] ; [0,1,2,6,8] ; [0,1,2,6,8] |
list_summation | list_summation:left-to-right | 7, 0, 3, 7 | 7+0=7 ; 7+3=10 ; 10+7=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 611+322 | d2:1+2+0=3→w3,c0 ; d1:1+2+0=3→w3,c0 ; d0:6+3+0=9→w9,c0 ; sum=933 |
list_summation | list_summation:left-to-right | 7, 6, 6, 9 | 7+6=13 ; 13+6=19 ; 19+9=28 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+56=7 | 7x+56=7 ; x+8=1 ; x=1-8 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-84 | 7x-49=-84 ; 7x=-35 ; x=-5 |
list_summation | list_summation:pairwise | 6, 5, 7, 2 | 6+5=11 ; 7+2=9 ; 11+9=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 198+627 | d2:8+7+0=15→w5,c1 ; d1:9+2+1=12→w2,c1 ; d0:1+6+1=8→w8,c0 ; sum=825 |
multidigit_addition | multidigit_addition:rounding-decomposition | 831+690 | round:840+690=1530 ; adjust:1530-9=1521 ; sum=1521 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=0 | 2x-14=0 ; x=(0--14)/2 ; x=14/2 ; x=7 |
list_summation | list_summation:pairwise | 4, 6, 1, 7 | 4+6=10 ; 1+7=8 ; 10+8=18 |
list_summation | list_summation:pairwise | 0, 7, 7, 6 | 0+7=7 ; 7+6=13 ; 7+13=20 |
list_summation | list_summation:pairwise | 8, 7, 3, 0 | 8+7=15 ; 3+0=3 ; 15+3=18 |
base_conversion | base_conversion:via-binary | n=220,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:334 |
list_summation | list_summation:left-to-right | 3, 3, 9, 7 | 3+3=6 ; 6+9=15 ; 15+7=22 |
base_conversion | base_conversion:decomposition | n=17,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 634+381 | p100:600+300=900 ; p10:30+80=110 ; p1:4+1=5 ; sum=900+110+5=1015 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-18=0 | 2x-18=0 ; x+-9=0 ; x=0--9 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=173,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:2231 |
multidigit_addition | multidigit_addition:rounding-decomposition | 637+396 | round:640+396=1036 ; adjust:1036-3=1033 ; sum=1033 |
multidigit_addition | multidigit_addition:left-to-right-partials | 681+164 | p100:600+100=700 ; p10:80+60=140 ; p1:1+4=5 ; sum=700+140+5=845 |
base_conversion | base_conversion:via-binary | n=51,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:110011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 698+331 | p100:600+300=900 ; p10:90+30=120 ; p1:8+1=9 ; sum=900+120+9=1029 |
list_summation | list_summation:right-to-left | 8, 7, 0, 7 | 0+7=7 ; 7+7=14 ; 8+14=22 |
list_summation | list_summation:right-to-left | 2, 5, 0, 2 | 0+2=2 ; 5+2=7 ; 2+7=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=0 | 6x-12=0 ; x=(0--12)/6 ; x=12/6 ; x=2 |
base_conversion | base_conversion:decomposition | n=197,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3011 |
list_summation | list_summation:pairwise | 0, 5, 0, 3 | 0+5=5 ; 0+3=3 ; 5+3=8 |
base_conversion | base_conversion:repeated-division | n=115,base=16 | DIV:115/16=7,r:3 ; DIV:7/16=0,r:7 ; OUT:73 |
multidigit_addition | multidigit_addition:left-to-right-partials | 290+887 | p100:200+800=1000 ; p10:90+80=170 ; p1:0+7=7 ; sum=1000+170+7=1177 |
list_summation | list_summation:right-to-left | 1, 9, 1, 4 | 1+4=5 ; 9+5=14 ; 1+14=15 |
base_conversion | base_conversion:decomposition | n=16,base=4 | TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=18 | 9x+81=18 ; 9x=-63 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=8 | 2x+16=8 ; x+8=4 ; x=4-8 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 6, 5, 0 | [0,1,6,5,7] ; [0,1,6,5,7] ; [0,1,5,6,7] ; [0,1,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(3,5) | D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 3, 0, 9, 8 | 3+0=3 ; 9+8=17 ; 3+17=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 713+319 | round:720+319=1039 ; adjust:1039-7=1032 ; sum=1032 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 508+480 | round:510+480=990 ; adjust:990-2=988 ; sum=988 |
base_conversion | base_conversion:decomposition | n=42,base=16 | TERM:2*16^1=32 ; TERM:10*16^0=10 ; OUT:2A |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 579+154 | round:580+154=734 ; adjust:734-1=733 ; sum=733 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(4,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=18 | 9x+27=18 ; x=(18-27)/9 ; x=-9/9 ; x=-1 |
list_summation | list_summation:right-to-left | 9, 1, 8, 7 | 8+7=15 ; 1+15=16 ; 9+16=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 6, 2, 3 | [5,9,2,6,3] ; [2,5,6,9,3] ; [2,3,5,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 5, 2, 7, 9 | [0,5,2,7,9] ; [0,2,5,7,9] ; [0,2,5,7,9] ; [0,2,5,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 4, 2, 8 | [3,7,4,2,8] ; [3,4,7,2,8] ; [2,3,4,7,8] ; [2,3,4,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
base_conversion | base_conversion:decomposition | n=102,base=2 | TERM:1*2^6=64 ; 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:0*2^0=0 ; OUT:1100110 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+6=6 | 2x+6=6 ; 2x=0 ; x=0 |
list_summation | list_summation:left-to-right | 0, 4, 1, 0 | 0+4=4 ; 4+1=5 ; 5+0=5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-18=-72 | 6x-18=-72 ; 6x=-54 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=248,base=16 | DIV:248/16=15,r:8 ; DIV:15/16=0,r:15 ; OUT:F8 |
list_summation | list_summation:pairwise | 4, 1, 1, 5 | 4+1=5 ; 1+5=6 ; 5+6=11 |
base_conversion | base_conversion:repeated-division | n=127,base=8 | DIV:127/8=15,r:7 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:177 |
multidigit_addition | multidigit_addition:right-to-left-carry | 104+627 | d2:4+7+0=11→w1,c1 ; d1:0+2+1=3→w3,c0 ; d0:1+6+0=7→w7,c0 ; sum=731 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=9 | 9x-63=9 ; x+-7=1 ; x=1--7 ; x=8 |
base_conversion | base_conversion:repeated-division | n=254,base=8 | DIV:254/8=31,r:6 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:376 |
multidigit_addition | multidigit_addition:left-to-right-partials | 158+698 | p100:100+600=700 ; p10:50+90=140 ; p1:8+8=16 ; sum=700+140+16=856 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=18 | 9x+54=18 ; x=(18-54)/9 ; x=-36/9 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 993+355 | p100:900+300=1200 ; p10:90+50=140 ; p1:3+5=8 ; sum=1200+140+8=1348 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=-12 | 3x-9=-12 ; x=(-12--9)/3 ; x=-3/3 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 2, 7, 7, 8 | 2+7=9 ; 9+7=16 ; 16+8=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=0 | 7x+35=0 ; 7x=-35 ; x=-5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-40 | 5x-45=-40 ; 5x=5 ; x=1 |
base_conversion | base_conversion:decomposition | n=214,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:6*8^0=6 ; OUT:326 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:left-to-right | 5, 9, 7, 0 | 5+9=14 ; 14+7=21 ; 21+0=21 |
base_conversion | base_conversion:decomposition | n=10,base=4 | TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:22 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 9, 3, 2 | [4,8,9,3,2] ; [4,8,3,9,2] ; [3,4,8,9,2] ; [2,3,4,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-12=-32 | 4x-12=-32 ; 4x=-20 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 1, 3, 5 | [0,4,1,3,5] ; [0,1,3,4,5] |
base_conversion | base_conversion:decomposition | n=221,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:5*8^0=5 ; OUT:335 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-112 | 8x-48=-112 ; x+-6=-14 ; x=-14--6 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 2, 7, 8 | [3,9,2,7,8] ; [3,2,9,7,8] ; [3,2,7,9,8] ; [3,2,7,8,9] ; [2,3,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 152+830 | p100:100+800=900 ; p10:50+30=80 ; p1:2+0=2 ; sum=900+80+2=982 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-84 | 7x-28=-84 ; x+-4=-12 ; x=-12--4 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=30 | 6x+48=30 ; x=(30-48)/6 ; x=-18/6 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 5, 7, 6 | [2,4,5,7,6] ; [2,4,5,7,6] ; [2,4,5,7,6] ; [2,4,5,6,7] |
list_summation | list_summation:left-to-right | 6, 6, 5, 5 | 6+6=12 ; 12+5=17 ; 17+5=22 |
base_conversion | base_conversion:repeated-division | n=11,base=16 | DIV:11/16=0,r:11 ; OUT:B |
list_summation | list_summation:pairwise | 6, 2, 4, 7 | 6+2=8 ; 4+7=11 ; 8+11=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=119,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1110111 |
list_summation | list_summation:right-to-left | 0, 7, 0, 0 | 0+0=0 ; 7+0=7 ; 0+7=7 |
base_conversion | base_conversion:via-binary | n=45,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:101101 |
list_summation | list_summation:right-to-left | 7, 1, 4, 4 | 4+4=8 ; 1+8=9 ; 7+9=16 |
list_summation | list_summation:pairwise | 2, 3, 6, 7 | 2+3=5 ; 6+7=13 ; 5+13=18 |
base_conversion | base_conversion:via-binary | n=152,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:8 ; OUT:98 |
list_summation | list_summation:left-to-right | 6, 3, 6, 7 | 6+3=9 ; 9+6=15 ; 15+7=22 |
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