task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 2, 1, 5 | [6,2,8,1,5] ; [6,2,1,8,5] ; [6,2,1,5,8] ; [2,6,1,5,8] ; [2,1,6,5,8] ; [2,1,5,6,8] ; [1,2,5,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 231+877 | p100:200+800=1000 ; p10:30+70=100 ; p1:1+7=8 ; sum=1000+100+8=1108 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 8, 5, 6, 2 | [4,8,5,6,2] ; [4,5,8,6,2] ; [4,5,6,8,2] ; [2,4,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=20 | 4x-16=20 ; x=(20--16)/4 ; x=36/4 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 473+860 | d2:3+0+0=3→w3,c0 ; d1:7+6+0=13→w3,c1 ; d0:4+8+1=13→w3,c1 ; sum=1333 |
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:subtract-then-divide | 8x+48=-16 | 8x+48=-16 ; 8x=-64 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=36 | 9x+9=36 ; 9x=27 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 454+239 | round:460+239=699 ; adjust:699-6=693 ; sum=693 |
multidigit_addition | multidigit_addition:right-to-left-carry | 670+396 | d2:0+6+0=6→w6,c0 ; d1:7+9+0=16→w6,c1 ; d0:6+3+1=10→w0,c1 ; sum=1066 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,2) | R:(0,2) ; D:(1,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 6, 8, 9, 2 | [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 1, 8, 3 | [5,6,1,8,3] ; [1,5,6,8,3] ; [1,5,6,8,3] ; [1,3,5,6,8] |
list_summation | list_summation:pairwise | 5, 9, 2, 1 | 5+9=14 ; 2+1=3 ; 14+3=17 |
base_conversion | base_conversion:decomposition | n=167,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10100111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 516+650 | d2:6+0+0=6→w6,c0 ; d1:1+5+0=6→w6,c0 ; d0:5+6+0=11→w1,c1 ; sum=1166 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 5, 9, 0, 2 | [5,6,9,0,2] ; [5,6,0,9,2] ; [5,6,0,2,9] ; [5,0,6,2,9] ; [5,0,2,6,9] ; [0,5,2,6,9] ; [0,2,5,6,9] |
list_summation | list_summation:left-to-right | 9, 2, 3, 7 | 9+2=11 ; 11+3=14 ; 14+7=21 |
list_summation | list_summation:left-to-right | 0, 1, 2, 9 | 0+1=1 ; 1+2=3 ; 3+9=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 4, 9, 6, 5 | 4+9=13 ; 6+5=11 ; 13+11=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=-30 | 3x-3=-30 ; 3x=-27 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=-8 | 2x+6=-8 ; x=(-8-6)/2 ; x=-14/2 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+20=-4 | 4x+20=-4 ; x=(-4-20)/4 ; x=-24/4 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+72=36 | 9x+72=36 ; x=(36-72)/9 ; x=-36/9 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 120+325 | p100:100+300=400 ; p10:20+20=40 ; p1:0+5=5 ; sum=400+40+5=445 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:decomposition | n=89,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1011001 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 5, 1, 3 | [1,9,5,7,3] ; [1,3,5,7,9] ; [1,3,5,7,9] ; [1,3,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 5, 1, 7 | [0,5,8,1,7] ; [0,5,1,8,7] ; [0,5,1,7,8] ; [0,1,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 192+849 | p100:100+800=900 ; p10:90+40=130 ; p1:2+9=11 ; sum=900+130+11=1041 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 772+713 | round:780+713=1493 ; adjust:1493-8=1485 ; sum=1485 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=-25 | 5x+20=-25 ; x+4=-5 ; x=-5-4 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=95,base=2 | DIV:95/2=47,r:1 ; 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:1011111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,3) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,3) | D:(2,2) ; D:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=48 | 3x+24=48 ; x+8=16 ; x=16-8 ; x=8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 6, 9, 5 | [0,4,6,9,5] ; [0,4,6,9,5] ; [0,4,6,9,5] ; [0,4,5,6,9] |
base_conversion | base_conversion:via-binary | n=19,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:10011 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=-3 | 3x+21=-3 ; x+7=-1 ; x=-1-7 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 5, 9, 7, 2 | [3,5,9,7,2] ; [3,5,9,7,2] ; [3,5,7,9,2] ; [2,3,5,7,9] |
list_summation | list_summation:pairwise | 6, 1, 3, 5 | 6+1=7 ; 3+5=8 ; 7+8=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=8 | 8x+72=8 ; 8x=-64 ; x=-8 |
list_summation | list_summation:left-to-right | 3, 0, 7, 1 | 3+0=3 ; 3+7=10 ; 10+1=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:left-to-right | 0, 0, 3, 4 | 0+0=0 ; 0+3=3 ; 3+4=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 1, 0, 6 | [7,4,1,0,6] ; [7,6,1,0,4] ; [4,6,1,0,7] ; [6,4,1,0,7] ; [0,4,1,6,7] ; [4,0,1,6,7] ; [1,0,4,6,7] ; [0,1,4,6,7] |
base_conversion | base_conversion:decomposition | n=191,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,1) | D:(4,0) ; R:(4,1) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=32 | 8x+48=32 ; x+6=4 ; x=4-6 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 0, 7, 4 | [1,9,0,7,4] ; [0,1,9,7,4] ; [0,1,7,9,4] ; [0,1,4,7,9] |
list_summation | list_summation:left-to-right | 8, 3, 2, 8 | 8+3=11 ; 11+2=13 ; 13+8=21 |
base_conversion | base_conversion:via-binary | n=223,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:15 ; OUT:DF |
multidigit_addition | multidigit_addition:rounding-decomposition | 519+640 | round:520+640=1160 ; adjust:1160-1=1159 ; sum=1159 |
list_summation | list_summation:left-to-right | 6, 0, 8, 2 | 6+0=6 ; 6+8=14 ; 14+2=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 4, 2, 7 | [2,5,4,9,7] ; [2,4,5,9,7] ; [2,4,5,9,7] ; [2,4,5,7,9] |
list_summation | list_summation:left-to-right | 9, 5, 6, 6 | 9+5=14 ; 14+6=20 ; 20+6=26 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+28=60 | 4x+28=60 ; x+7=15 ; x=15-7 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 415+356 | round:420+356=776 ; adjust:776-5=771 ; sum=771 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 7, 1, 3 | [0,6,7,1,3] ; [0,1,7,6,3] ; [0,1,3,6,7] ; [0,1,3,6,7] |
base_conversion | base_conversion:repeated-division | n=234,base=2 | DIV:234/2=117,r:0 ; DIV:117/2=58,r:1 ; DIV:58/2=29,r:0 ; DIV:29/2=14,r:1 ; 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:11101010 |
base_conversion | base_conversion:decomposition | n=98,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1202 |
list_summation | list_summation:right-to-left | 1, 5, 4, 5 | 4+5=9 ; 5+9=14 ; 1+14=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-24=-12 | 4x-24=-12 ; x+-6=-3 ; x=-3--6 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 3, 6, 1 | [4,7,3,6,1] ; [4,3,7,6,1] ; [4,3,6,7,1] ; [4,3,6,1,7] ; [3,4,6,1,7] ; [3,4,1,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
list_summation | list_summation:right-to-left | 7, 4, 3, 0 | 3+0=3 ; 4+3=7 ; 7+7=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-22 | 2x-10=-22 ; x=(-22--10)/2 ; x=-12/2 ; x=-6 |
list_summation | list_summation:left-to-right | 9, 9, 1, 2 | 9+9=18 ; 18+1=19 ; 19+2=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=98,base=2 | DIV:98/2=49,r:0 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; 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:1100010 |
multidigit_addition | multidigit_addition:left-to-right-partials | 682+496 | p100:600+400=1000 ; p10:80+90=170 ; p1:2+6=8 ; sum=1000+170+8=1178 |
base_conversion | base_conversion:via-binary | n=195,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3003 |
list_summation | list_summation:pairwise | 9, 5, 7, 8 | 9+5=14 ; 7+8=15 ; 14+15=29 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 3, 1, 9, 8 | 9+8=17 ; 1+17=18 ; 3+18=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 635+454 | round:640+454=1094 ; adjust:1094-5=1089 ; sum=1089 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 391+657 | p100:300+600=900 ; p10:90+50=140 ; p1:1+7=8 ; sum=900+140+8=1048 |
list_summation | list_summation:left-to-right | 4, 6, 4, 3 | 4+6=10 ; 10+4=14 ; 14+3=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+15=33 | 3x+15=33 ; 3x=18 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 552+197 | d2:2+7+0=9→w9,c0 ; d1:5+9+0=14→w4,c1 ; d0:5+1+1=7→w7,c0 ; sum=749 |
list_summation | list_summation:right-to-left | 3, 1, 2, 0 | 2+0=2 ; 1+2=3 ; 3+3=6 |
base_conversion | base_conversion:repeated-division | n=121,base=2 | DIV:121/2=60,r:1 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111001 |
list_summation | list_summation:pairwise | 2, 3, 3, 4 | 2+3=5 ; 3+4=7 ; 5+7=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=84 | 7x+56=84 ; 7x=28 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 9, 1, 3, 6 | [7,1,9,3,6] ; [7,1,3,9,6] ; [7,1,3,6,9] ; [1,7,3,6,9] ; [1,3,7,6,9] ; [1,3,6,7,9] |
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:subtract-then-divide | 3x+12=-9 | 3x+12=-9 ; 3x=-21 ; x=-7 |
list_summation | list_summation:pairwise | 9, 5, 3, 4 | 9+5=14 ; 3+4=7 ; 14+7=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+18=72 | 6x+18=72 ; x=(72-18)/6 ; x=54/6 ; x=9 |
list_summation | list_summation:left-to-right | 1, 2, 1, 6 | 1+2=3 ; 3+1=4 ; 4+6=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 4, 3, 4, 0 | 4+3=7 ; 4+0=4 ; 7+4=11 |
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