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=(3,2) ; G=(5,3) | D:(4,2) ; D:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 4, 3, 3, 6 | 3+6=9 ; 3+9=12 ; 4+12=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 8, 2, 4 | [1,7,2,8,4] ; [1,7,2,4,8] ; [1,2,7,4,8] ; [1,2,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 9, 3, 4, 8 | 4+8=12 ; 3+12=15 ; 9+15=24 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 5, 2, 9 | [1,8,5,2,9] ; [1,5,8,2,9] ; [1,2,5,8,9] ; [1,2,5,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 7, 3, 1 | [6,8,3,7,1] ; [3,6,7,8,1] ; [1,3,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=-40 | 8x+24=-40 ; 8x=-64 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 6, 8, 0 | [3,4,6,8,0] ; [0,3,4,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+42=78 | 6x+42=78 ; x+7=13 ; x=13-7 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=96 | 8x+64=96 ; 8x=32 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 387+246 | p100:300+200=500 ; p10:80+40=120 ; p1:7+6=13 ; sum=500+120+13=633 |
base_conversion | base_conversion:repeated-division | n=81,base=16 | DIV:81/16=5,r:1 ; DIV:5/16=0,r:5 ; OUT:51 |
base_conversion | base_conversion:via-binary | n=99,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:3 ; OUT:143 |
multidigit_addition | multidigit_addition:right-to-left-carry | 356+587 | d2:6+7+0=13→w3,c1 ; d1:5+8+1=14→w4,c1 ; d0:3+5+1=9→w9,c0 ; sum=943 |
base_conversion | base_conversion:decomposition | n=36,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+30=70 | 5x+30=70 ; 5x=40 ; x=8 |
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 |
base_conversion | base_conversion:via-binary | n=180,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:4 ; OUT:264 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 264+989 | d2:4+9+0=13→w3,c1 ; d1:6+8+1=15→w5,c1 ; d0:2+9+1=12→w2,c1 ; sum=1253 |
list_summation | list_summation:pairwise | 1, 7, 8, 2 | 1+7=8 ; 8+2=10 ; 8+10=18 |
list_summation | list_summation:right-to-left | 3, 0, 3, 3 | 3+3=6 ; 0+6=6 ; 3+6=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 6, 4, 8, 8 | 6+4=10 ; 10+8=18 ; 18+8=26 |
base_conversion | base_conversion:decomposition | n=206,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:316 |
list_summation | list_summation:right-to-left | 4, 1, 2, 6 | 2+6=8 ; 1+8=9 ; 4+9=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=27 | 9x-18=27 ; x=(27--18)/9 ; x=45/9 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 876+761 | round:880+761=1641 ; adjust:1641-4=1637 ; sum=1637 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=-28 | 7x-21=-28 ; x+-3=-4 ; x=-4--3 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 691+883 | p100:600+800=1400 ; p10:90+80=170 ; p1:1+3=4 ; sum=1400+170+4=1574 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 4, 5, 6, 3 | [1,3,4,5,6] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 5, 9, 3 | [0,7,5,9,3] ; [0,3,5,9,7] ; [0,3,5,9,7] ; [0,3,5,7,9] |
base_conversion | base_conversion:decomposition | n=83,base=16 | TERM:5*16^1=80 ; TERM:3*16^0=3 ; OUT:53 |
multidigit_addition | multidigit_addition:right-to-left-carry | 455+616 | d2:5+6+0=11→w1,c1 ; d1:5+1+1=7→w7,c0 ; d0:4+6+0=10→w0,c1 ; sum=1071 |
list_summation | list_summation:pairwise | 3, 2, 5, 9 | 3+2=5 ; 5+9=14 ; 5+14=19 |
base_conversion | base_conversion:repeated-division | n=14,base=8 | DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:16 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 9, 1, 5 | [1,3,9,8,5] ; [1,3,9,8,5] ; [1,3,5,8,9] ; [1,3,5,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 228+285 | round:230+285=515 ; adjust:515-2=513 ; sum=513 |
multidigit_addition | multidigit_addition:left-to-right-partials | 624+264 | p100:600+200=800 ; p10:20+60=80 ; p1:4+4=8 ; sum=800+80+8=888 |
multidigit_addition | multidigit_addition:right-to-left-carry | 268+620 | d2:8+0+0=8→w8,c0 ; d1:6+2+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=888 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=112 | 7x+49=112 ; x+7=16 ; x=16-7 ; x=9 |
list_summation | list_summation:pairwise | 0, 3, 2, 4 | 0+3=3 ; 2+4=6 ; 3+6=9 |
base_conversion | base_conversion:decomposition | n=220,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:4*8^0=4 ; OUT:334 |
multidigit_addition | multidigit_addition:left-to-right-partials | 512+868 | p100:500+800=1300 ; p10:10+60=70 ; p1:2+8=10 ; sum=1300+70+10=1380 |
list_summation | list_summation:right-to-left | 1, 5, 1, 7 | 1+7=8 ; 5+8=13 ; 1+13=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 400+470 | d2:0+0+0=0→w0,c0 ; d1:0+7+0=7→w7,c0 ; d0:4+4+0=8→w8,c0 ; sum=870 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 435+497 | p100:400+400=800 ; p10:30+90=120 ; p1:5+7=12 ; sum=800+120+12=932 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=-32 | 4x-16=-32 ; x=(-32--16)/4 ; x=-16/4 ; x=-4 |
list_summation | list_summation:left-to-right | 6, 5, 9, 4 | 6+5=11 ; 11+9=20 ; 20+4=24 |
multidigit_addition | multidigit_addition:right-to-left-carry | 337+896 | d2:7+6+0=13→w3,c1 ; d1:3+9+1=13→w3,c1 ; d0:3+8+1=12→w2,c1 ; sum=1233 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
list_summation | list_summation:left-to-right | 1, 2, 6, 6 | 1+2=3 ; 3+6=9 ; 9+6=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 185+596 | d2:5+6+0=11→w1,c1 ; d1:8+9+1=18→w8,c1 ; d0:1+5+1=7→w7,c0 ; sum=781 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 4, 3, 2 | [0,7,4,3,2] ; [0,4,7,3,2] ; [0,3,4,7,2] ; [0,2,3,4,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 138+276 | round:140+276=416 ; adjust:416-2=414 ; sum=414 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(3,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=104,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:0 ; OUT:150 |
base_conversion | base_conversion:via-binary | n=77,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1031 |
multidigit_addition | multidigit_addition:rounding-decomposition | 681+356 | round:690+356=1046 ; adjust:1046-9=1037 ; sum=1037 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,5) | D:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 5, 2, 8 | [7,9,5,2,8] ; [5,7,9,2,8] ; [2,5,7,9,8] ; [2,5,7,8,9] |
base_conversion | base_conversion:via-binary | n=189,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:13 ; OUT:BD |
multidigit_addition | multidigit_addition:right-to-left-carry | 748+928 | d2:8+8+0=16→w6,c1 ; d1:4+2+1=7→w7,c0 ; d0:7+9+0=16→w6,c1 ; sum=1676 |
multidigit_addition | multidigit_addition:rounding-decomposition | 697+270 | round:700+270=970 ; adjust:970-3=967 ; sum=967 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 4, 8, 6 | [5,9,4,8,6] ; [4,5,9,8,6] ; [4,5,8,9,6] ; [4,5,6,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 1, 2, 9 | [3,5,1,2,9] ; [3,1,5,2,9] ; [3,1,2,5,9] ; [1,3,2,5,9] ; [1,2,3,5,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 272+326 | round:280+326=606 ; adjust:606-8=598 ; sum=598 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-56 | 4x-32=-56 ; 4x=-24 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 136+698 | round:140+698=838 ; adjust:838-4=834 ; sum=834 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=0 | 3x+27=0 ; x+9=0 ; x=0-9 ; x=-9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,3) | R:(0,3) ; D:(1,3) ; D:(2,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 405+475 | p100:400+400=800 ; p10:0+70=70 ; p1:5+5=10 ; sum=800+70+10=880 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=9 | 3x+21=9 ; x+7=3 ; x=3-7 ; x=-4 |
list_summation | list_summation:right-to-left | 8, 6, 7, 4 | 7+4=11 ; 6+11=17 ; 8+17=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 155+233 | d2:5+3+0=8→w8,c0 ; d1:5+3+0=8→w8,c0 ; d0:1+2+0=3→w3,c0 ; sum=388 |
multidigit_addition | multidigit_addition:right-to-left-carry | 198+903 | d2:8+3+0=11→w1,c1 ; d1:9+0+1=10→w0,c1 ; d0:1+9+1=11→w1,c1 ; sum=1101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=-3 | 3x+24=-3 ; 3x=-27 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,1) | D:(3,0) ; D:(4,0) ; R:(4,1) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 8, 0, 2 | [1,7,8,0,2] ; [1,7,0,8,2] ; [0,1,7,8,2] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 8, 5, 4, 2 | [3,8,5,4,2] ; [3,5,8,4,2] ; [3,4,5,8,2] ; [2,3,4,5,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
list_summation | list_summation:pairwise | 4, 1, 5, 8 | 4+1=5 ; 5+8=13 ; 5+13=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 3, 8, 2, 4 | [3,6,8,2,4] ; [3,6,2,8,4] ; [3,6,2,4,8] ; [3,2,6,4,8] ; [3,2,4,6,8] ; [2,3,4,6,8] |
list_summation | list_summation:left-to-right | 4, 9, 3, 7 | 4+9=13 ; 13+3=16 ; 16+7=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=63 | 9x+54=63 ; x=(63-54)/9 ; x=9/9 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=48 | 4x+36=48 ; 4x=12 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-54 | 3x-27=-54 ; x=(-54--27)/3 ; x=-27/3 ; x=-9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 5, 1, 8, 4 | [5,7,1,8,4] ; [5,1,7,8,4] ; [5,1,7,4,8] ; [1,5,7,4,8] ; [1,5,4,7,8] ; [1,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=19,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011 |
list_summation | list_summation:pairwise | 3, 5, 6, 1 | 3+5=8 ; 6+1=7 ; 8+7=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 7, 8, 1 | [1,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=-16 | 2x-12=-16 ; 2x=-4 ; x=-2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+63=18 | 9x+63=18 ; x+7=2 ; x=2-7 ; x=-5 |
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