task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 8, 0, 3 | [0,4,8,6,3] ; [0,3,8,6,4] ; [0,3,4,6,8] ; [0,3,4,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 5, 2, 7 | [0,3,5,2,7] ; [0,3,5,2,7] ; [0,2,3,5,7] ; [0,2,3,5,7] |
list_summation | list_summation:right-to-left | 1, 6, 9, 0 | 9+0=9 ; 6+9=15 ; 1+15=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 2, 7, 3 | [2,4,8,7,3] ; [2,3,8,7,4] ; [2,3,4,7,8] ; [2,3,4,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 387+539 | p100:300+500=800 ; p10:80+30=110 ; p1:7+9=16 ; sum=800+110+16=926 |
base_conversion | base_conversion:via-binary | n=6,base=16 | BINLEN:3 ; CHUNK:0:6 ; OUT:6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=60 | 5x+20=60 ; x=(60-20)/5 ; x=40/5 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 147+374 | d2:7+4+0=11→w1,c1 ; d1:4+7+1=12→w2,c1 ; d0:1+3+1=5→w5,c0 ; sum=521 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-4 | 4x-36=-4 ; 4x=32 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=90 | 9x+45=90 ; 9x=45 ; x=5 |
base_conversion | base_conversion:repeated-division | n=16,base=2 | DIV:16/2=8,r:0 ; 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:10000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 1, 0, 2, 3 | [1,6,0,2,3] ; [1,0,6,2,3] ; [1,0,2,6,3] ; [1,0,2,3,6] ; [0,1,2,3,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=16 | 4x-4=16 ; 4x=20 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 788+948 | p100:700+900=1600 ; p10:80+40=120 ; p1:8+8=16 ; sum=1600+120+16=1736 |
multidigit_addition | multidigit_addition:right-to-left-carry | 698+944 | d2:8+4+0=12→w2,c1 ; d1:9+4+1=14→w4,c1 ; d0:6+9+1=16→w6,c1 ; sum=1642 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 795+451 | round:800+451=1251 ; adjust:1251-5=1246 ; sum=1246 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 0, 9, 8 | [4,7,0,9,8] ; [4,0,7,9,8] ; [4,0,7,8,9] ; [0,4,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 9, 7, 0 | [6,7,9,3,0] ; [9,7,6,3,0] ; [0,7,6,3,9] ; [7,0,6,3,9] ; [7,3,6,0,9] ; [0,3,6,7,9] ; [6,3,0,7,9] ; [0,3,6,7,9] ; [3,0,6,7,9] ; [0,3,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=27 | 9x+36=27 ; x=(27-36)/9 ; x=-9/9 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 3, 5, 0 | [2,9,3,5,0] ; [2,3,9,5,0] ; [2,3,5,9,0] ; [0,2,3,5,9] |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 128+284 | d2:8+4+0=12→w2,c1 ; d1:2+8+1=11→w1,c1 ; d0:1+2+1=4→w4,c0 ; sum=412 |
multidigit_addition | multidigit_addition:left-to-right-partials | 283+566 | p100:200+500=700 ; p10:80+60=140 ; p1:3+6=9 ; sum=700+140+9=849 |
base_conversion | base_conversion:decomposition | n=16,base=16 | TERM:1*16^1=16 ; TERM:0*16^0=0 ; OUT:10 |
multidigit_addition | multidigit_addition:rounding-decomposition | 906+572 | round:910+572=1482 ; adjust:1482-4=1478 ; sum=1478 |
multidigit_addition | multidigit_addition:right-to-left-carry | 927+901 | d2:7+1+0=8→w8,c0 ; d1:2+0+0=2→w2,c0 ; d0:9+9+0=18→w8,c1 ; sum=1828 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=70,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1012 |
list_summation | list_summation:right-to-left | 3, 6, 5, 1 | 5+1=6 ; 6+6=12 ; 3+12=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 4, 6, 1 | [7,9,4,6,1] ; [4,6,7,9,1] ; [1,4,6,7,9] |
list_summation | list_summation:right-to-left | 5, 0, 3, 7 | 3+7=10 ; 0+10=10 ; 5+10=15 |
base_conversion | base_conversion:via-binary | n=122,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1111010 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 9, 8, 3 | [1,6,9,8,3] ; [1,6,9,8,3] ; [1,6,8,9,3] ; [1,3,6,8,9] |
base_conversion | base_conversion:repeated-division | n=226,base=2 | DIV:226/2=113,r:0 ; DIV:113/2=56,r:1 ; DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100010 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 3, 5, 8 | [9,8,3,5,1] ; [1,8,3,5,9] ; [8,1,3,5,9] ; [8,5,3,1,9] ; [1,5,3,8,9] ; [5,1,3,8,9] ; [3,1,5,8,9] ; [1,3,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=0 | 7x+28=0 ; x=(0-28)/7 ; x=-28/7 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=10 | 2x-6=10 ; 2x=16 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 2, 9, 1 | [0,4,2,9,1] ; [0,2,4,9,1] ; [0,2,4,9,1] ; [0,1,2,4,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 917+586 | round:920+586=1506 ; adjust:1506-3=1503 ; sum=1503 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-45 | 5x-45=-45 ; x=(-45--45)/5 ; x=0/5 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 0, 3, 6, 1 | 0+3=3 ; 6+1=7 ; 3+7=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 935+464 | p100:900+400=1300 ; p10:30+60=90 ; p1:5+4=9 ; sum=1300+90+9=1399 |
multidigit_addition | multidigit_addition:left-to-right-partials | 281+916 | p100:200+900=1100 ; p10:80+10=90 ; p1:1+6=7 ; sum=1100+90+7=1197 |
list_summation | list_summation:left-to-right | 7, 5, 3, 3 | 7+5=12 ; 12+3=15 ; 15+3=18 |
list_summation | list_summation:left-to-right | 9, 0, 4, 7 | 9+0=9 ; 9+4=13 ; 13+7=20 |
base_conversion | base_conversion:decomposition | n=249,base=16 | TERM:15*16^1=240 ; TERM:9*16^0=9 ; OUT:F9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 6, 8, 0, 6 | 6+8=14 ; 0+6=6 ; 14+6=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=-40 | 4x-4=-40 ; 4x=-36 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 8, 6, 2, 5 | [7,8,6,2,5] ; [6,7,8,2,5] ; [2,6,7,8,5] ; [2,5,6,7,8] |
list_summation | list_summation:right-to-left | 6, 8, 3, 0 | 3+0=3 ; 8+3=11 ; 6+11=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 3, 1, 6 | [2,6,3,1,5] ; [6,2,3,1,5] ; [6,5,3,1,2] ; [2,5,3,1,6] ; [5,2,3,1,6] ; [1,2,3,5,6] ; [3,2,1,5,6] ; [1,2,3,5,6] ; [2,1,3,5,6] ; [1,2,3,5,6] |
list_summation | list_summation:right-to-left | 9, 7, 4, 7 | 4+7=11 ; 7+11=18 ; 9+18=27 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-45 | 3x-21=-45 ; x+-7=-15 ; x=-15--7 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=-56 | 7x-14=-56 ; 7x=-42 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 905+324 | round:910+324=1234 ; adjust:1234-5=1229 ; sum=1229 |
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) |
base_conversion | base_conversion:decomposition | n=98,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:142 |
list_summation | list_summation:right-to-left | 0, 0, 0, 0 | 0+0=0 ; 0+0=0 ; 0+0=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 329+256 | round:330+256=586 ; adjust:586-1=585 ; sum=585 |
base_conversion | base_conversion:via-binary | n=32,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:0 ; OUT:40 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 6, 9, 2, 8 | [0,6,2,9,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=221,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11011101 |
list_summation | list_summation:pairwise | 7, 8, 6, 6 | 7+8=15 ; 6+6=12 ; 15+12=27 |
base_conversion | base_conversion:repeated-division | n=240,base=4 | DIV:240/4=60,r:0 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3300 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=0 | 5x+10=0 ; x=(0-10)/5 ; x=-10/5 ; x=-2 |
base_conversion | base_conversion:via-binary | n=178,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2302 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 6, 9, 5 | [3,7,6,9,5] ; [3,5,6,9,7] ; [3,5,6,9,7] ; [3,5,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 537+507 | p100:500+500=1000 ; p10:30+0=30 ; p1:7+7=14 ; sum=1000+30+14=1044 |
base_conversion | base_conversion:repeated-division | n=72,base=8 | DIV:72/8=9,r:0 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+12=-6 | 2x+12=-6 ; x=(-6-12)/2 ; x=-18/2 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 667+868 | round:670+868=1538 ; adjust:1538-3=1535 ; sum=1535 |
list_summation | list_summation:right-to-left | 0, 4, 9, 0 | 9+0=9 ; 4+9=13 ; 0+13=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 565+685 | p100:500+600=1100 ; p10:60+80=140 ; p1:5+5=10 ; sum=1100+140+10=1250 |
multidigit_addition | multidigit_addition:right-to-left-carry | 859+720 | d2:9+0+0=9→w9,c0 ; d1:5+2+0=7→w7,c0 ; d0:8+7+0=15→w5,c1 ; sum=1579 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+0=-5 | 5x+0=-5 ; x+0=-1 ; x=-1-0 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 907+356 | round:910+356=1266 ; adjust:1266-3=1263 ; sum=1263 |
list_summation | list_summation:pairwise | 2, 3, 1, 0 | 2+3=5 ; 1+0=1 ; 5+1=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
base_conversion | base_conversion:decomposition | n=68,base=16 | TERM:4*16^1=64 ; TERM:4*16^0=4 ; OUT:44 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=16 | 8x+32=16 ; x=(16-32)/8 ; x=-16/8 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+3=-9 | 3x+3=-9 ; 3x=-12 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 751+899 | round:760+899=1659 ; adjust:1659-9=1650 ; sum=1650 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-2=-12 | 2x-2=-12 ; x+-1=-6 ; x=-6--1 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 135+619 | p100:100+600=700 ; p10:30+10=40 ; p1:5+9=14 ; sum=700+40+14=754 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 2, 4, 3 | [5,6,2,4,3] ; [2,5,6,4,3] ; [2,4,5,6,3] ; [2,3,4,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-15 | 5x-5=-15 ; x+-1=-3 ; x=-3--1 ; x=-2 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.