task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 3, 6, 5 | [9,7,3,6,5] ; [5,7,3,6,9] ; [7,5,3,6,9] ; [7,6,3,5,9] ; [5,6,3,7,9] ; [6,5,3,7,9] ; [3,5,6,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 5, 9, 2 | [3,4,5,9,2] ; [3,4,5,9,2] ; [3,4,5,9,2] ; [2,3,4,5,9] |
list_summation | list_summation:pairwise | 0, 4, 2, 9 | 0+4=4 ; 2+9=11 ; 4+11=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 7, 3, 0 | [5,7,8,3,0] ; [5,7,3,8,0] ; [5,7,3,0,8] ; [5,3,7,0,8] ; [5,3,0,7,8] ; [3,5,0,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=56 | 7x+42=56 ; 7x=14 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 7, 3, 1 | [1,4,7,3,2] ; [1,2,7,3,4] ; [1,2,3,7,4] ; [1,2,3,4,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=-32 | 8x+16=-32 ; x=(-32-16)/8 ; x=-48/8 ; x=-6 |
base_conversion | base_conversion:via-binary | n=212,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11010100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=27 | 3x+24=27 ; 3x=3 ; x=1 |
list_summation | list_summation:left-to-right | 1, 7, 6, 6 | 1+7=8 ; 8+6=14 ; 14+6=20 |
list_summation | list_summation:right-to-left | 6, 3, 4, 1 | 4+1=5 ; 3+5=8 ; 6+8=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 3, 8, 4 | [6,8,3,0,4] ; [8,6,3,0,4] ; [4,6,3,0,8] ; [6,4,3,0,8] ; [0,4,3,6,8] ; [4,0,3,6,8] ; [3,0,4,6,8] ; [0,3,4,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 1, 2, 5, 3 | [1,6,2,5,3] ; [1,2,6,5,3] ; [1,2,3,5,6] ; [1,2,3,5,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
list_summation | list_summation:left-to-right | 3, 0, 8, 8 | 3+0=3 ; 3+8=11 ; 11+8=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=-55 | 5x-15=-55 ; 5x=-40 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 1, 4, 8 | [2,7,1,4,8] ; [2,1,7,4,8] ; [2,1,4,7,8] ; [1,2,4,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=16 | 2x+18=16 ; 2x=-2 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=-5 | 5x+20=-5 ; 5x=-25 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=-8 | 4x+8=-8 ; x+2=-2 ; x=-2-2 ; x=-4 |
base_conversion | base_conversion:via-binary | n=237,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11101101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-16 | 4x-28=-16 ; 4x=12 ; x=3 |
list_summation | list_summation:pairwise | 4, 8, 7, 1 | 4+8=12 ; 7+1=8 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,3) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-18=3 | 3x-18=3 ; x+-6=1 ; x=1--6 ; x=7 |
list_summation | list_summation:pairwise | 4, 2, 4, 3 | 4+2=6 ; 4+3=7 ; 6+7=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 777+519 | p100:700+500=1200 ; p10:70+10=80 ; p1:7+9=16 ; sum=1200+80+16=1296 |
list_summation | list_summation:right-to-left | 8, 0, 0, 8 | 0+8=8 ; 0+8=8 ; 8+8=16 |
base_conversion | base_conversion:via-binary | n=20,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:110 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 3, 6, 0 | [8,9,3,6,0] ; [3,8,9,6,0] ; [3,6,8,9,0] ; [0,3,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 676+120 | d2:6+0+0=6→w6,c0 ; d1:7+2+0=9→w9,c0 ; d0:6+1+0=7→w7,c0 ; sum=796 |
list_summation | list_summation:pairwise | 4, 2, 7, 9 | 4+2=6 ; 7+9=16 ; 6+16=22 |
base_conversion | base_conversion:repeated-division | n=91,base=4 | DIV:91/4=22,r:3 ; DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1123 |
list_summation | list_summation:right-to-left | 8, 8, 7, 6 | 7+6=13 ; 8+13=21 ; 8+21=29 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 4, 0, 7 | [1,4,6,0,7] ; [1,4,0,6,7] ; [1,0,4,6,7] ; [0,1,4,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 6, 5, 7 | [3,9,6,5,7] ; [3,6,9,5,7] ; [3,6,5,9,7] ; [3,6,5,7,9] ; [3,5,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(3,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 963+378 | round:970+378=1348 ; adjust:1348-7=1341 ; sum=1341 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 8, 2, 1 | [8,3,7,2,1] ; [1,3,7,2,8] ; [7,3,1,2,8] ; [2,3,1,7,8] ; [3,2,1,7,8] ; [1,2,3,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
list_summation | list_summation:left-to-right | 4, 3, 2, 5 | 4+3=7 ; 7+2=9 ; 9+5=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=65 | 5x+45=65 ; 5x=20 ; x=4 |
list_summation | list_summation:pairwise | 6, 3, 2, 3 | 6+3=9 ; 2+3=5 ; 9+5=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=-35 | 5x-15=-35 ; x=(-35--15)/5 ; x=-20/5 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=-56 | 8x+16=-56 ; x+2=-7 ; x=-7-2 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=0 | 6x-36=0 ; 6x=36 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 4, 7, 6 | [1,4,7,9,6] ; [1,4,6,7,9] |
base_conversion | base_conversion:via-binary | n=200,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:3020 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 8, 2, 6, 9 | [7,8,2,6,9] ; [2,7,8,6,9] ; [2,6,7,8,9] ; [2,6,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 3, 0, 7 | [6,8,3,0,7] ; [6,8,0,3,7] ; [0,3,6,8,7] ; [0,3,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=7 | 7x+21=7 ; 7x=-14 ; x=-2 |
list_summation | list_summation:right-to-left | 8, 4, 6, 2 | 6+2=8 ; 4+8=12 ; 8+12=20 |
list_summation | list_summation:left-to-right | 2, 0, 8, 1 | 2+0=2 ; 2+8=10 ; 10+1=11 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 3, 8, 9 | [0,9,3,8,5] ; [9,0,3,8,5] ; [9,8,3,0,5] ; [5,8,3,0,9] ; [8,5,3,0,9] ; [0,5,3,8,9] ; [5,0,3,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 748+874 | round:750+874=1624 ; adjust:1624-2=1622 ; sum=1622 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:decomposition | n=9,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-16=-88 | 8x-16=-88 ; x+-2=-11 ; x=-11--2 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=47,base=2 | DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101111 |
base_conversion | base_conversion:via-binary | n=254,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:14 ; OUT:FE |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=8 | 8x+32=8 ; x=(8-32)/8 ; x=-24/8 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-56=-28 | 7x-56=-28 ; 7x=28 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=65,base=8 | DIV:65/8=8,r:1 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 276+336 | round:280+336=616 ; adjust:616-4=612 ; sum=612 |
list_summation | list_summation:pairwise | 4, 6, 0, 3 | 4+6=10 ; 0+3=3 ; 10+3=13 |
base_conversion | base_conversion:repeated-division | n=123,base=8 | DIV:123/8=15,r:3 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:173 |
multidigit_addition | multidigit_addition:left-to-right-partials | 910+526 | p100:900+500=1400 ; p10:10+20=30 ; p1:0+6=6 ; sum=1400+30+6=1436 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 2, 0, 8 | [4,6,2,0,8] ; [2,4,6,0,8] ; [0,2,4,6,8] ; [0,2,4,6,8] |
list_summation | list_summation:left-to-right | 3, 6, 7, 3 | 3+6=9 ; 9+7=16 ; 16+3=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 213+670 | d2:3+0+0=3→w3,c0 ; d1:1+7+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=883 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-153 | 9x-81=-153 ; x=(-153--81)/9 ; x=-72/9 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=195,base=16 | DIV:195/16=12,r:3 ; DIV:12/16=0,r:12 ; OUT:C3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,4) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 4, 8, 9, 3 | [4,6,8,9,3] ; [3,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 889+561 | p100:800+500=1300 ; p10:80+60=140 ; p1:9+1=10 ; sum=1300+140+10=1450 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 5, 0, 0, 3 | 5+0=5 ; 5+0=5 ; 5+3=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 178+626 | p100:100+600=700 ; p10:70+20=90 ; p1:8+6=14 ; sum=700+90+14=804 |
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 952+726 | round:960+726=1686 ; adjust:1686-8=1678 ; sum=1678 |
multidigit_addition | multidigit_addition:rounding-decomposition | 199+453 | round:200+453=653 ; adjust:653-1=652 ; sum=652 |
base_conversion | base_conversion:decomposition | n=92,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:4*8^0=4 ; OUT:134 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=-9 | 9x+54=-9 ; x+6=-1 ; x=-1-6 ; x=-7 |
base_conversion | base_conversion:via-binary | n=152,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:230 |
base_conversion | base_conversion:decomposition | n=203,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:3*8^0=3 ; OUT:313 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 7, 0, 2, 5 | [4,7,0,2,5] ; [0,4,7,2,5] ; [0,2,4,7,5] ; [0,2,4,5,7] |
list_summation | list_summation:left-to-right | 1, 2, 4, 4 | 1+2=3 ; 3+4=7 ; 7+4=11 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 6, 2, 9 | [2,8,6,4,9] ; [2,4,6,8,9] ; [2,4,6,8,9] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 382+720 | p100:300+700=1000 ; p10:80+20=100 ; p1:2+0=2 ; sum=1000+100+2=1102 |
base_conversion | base_conversion:repeated-division | n=100,base=2 | DIV:100/2=50,r:0 ; DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100100 |
list_summation | list_summation:right-to-left | 5, 8, 0, 4 | 0+4=4 ; 8+4=12 ; 5+12=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 764+276 | d2:4+6+0=10→w0,c1 ; d1:6+7+1=14→w4,c1 ; d0:7+2+1=10→w0,c1 ; sum=1040 |
base_conversion | base_conversion:decomposition | n=39,base=8 | TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:47 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.