task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 9, 7, 7, 1 | 9+7=16 ; 16+7=23 ; 23+1=24 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 1, 6, 2, 1 | 1+6=7 ; 2+1=3 ; 7+3=10 |
base_conversion | base_conversion:repeated-division | n=48,base=2 | DIV:48/2=24,r:0 ; 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:110000 |
multidigit_addition | multidigit_addition:right-to-left-carry | 265+915 | d2:5+5+0=10→w0,c1 ; d1:6+1+1=8→w8,c0 ; d0:2+9+0=11→w1,c1 ; sum=1180 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 7, 0, 5, 9 | [0,7,2,5,9] ; [0,2,7,5,9] ; [0,2,5,7,9] ; [0,2,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 261+834 | d2:1+4+0=5→w5,c0 ; d1:6+3+0=9→w9,c0 ; d0:2+8+0=10→w0,c1 ; sum=1095 |
multidigit_addition | multidigit_addition:rounding-decomposition | 247+751 | round:250+751=1001 ; adjust:1001-3=998 ; sum=998 |
base_conversion | base_conversion:decomposition | n=236,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3230 |
base_conversion | base_conversion:via-binary | n=225,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:3201 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=-36 | 9x+0=-36 ; x=(-36-0)/9 ; x=-36/9 ; x=-4 |
base_conversion | base_conversion:decomposition | n=145,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:1*8^0=1 ; OUT:221 |
base_conversion | base_conversion:via-binary | n=129,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2001 |
list_summation | list_summation:pairwise | 8, 6, 5, 8 | 8+6=14 ; 5+8=13 ; 14+13=27 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=-27 | 9x-27=-27 ; x+-3=-3 ; x=-3--3 ; x=0 |
list_summation | list_summation:pairwise | 1, 5, 3, 4 | 1+5=6 ; 3+4=7 ; 6+7=13 |
list_summation | list_summation:right-to-left | 9, 4, 1, 7 | 1+7=8 ; 4+8=12 ; 9+12=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 673+366 | round:680+366=1046 ; adjust:1046-7=1039 ; sum=1039 |
list_summation | list_summation:left-to-right | 0, 9, 9, 6 | 0+9=9 ; 9+9=18 ; 18+6=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 9, 6, 3 | [2,7,6,9,3] ; [2,7,6,3,9] ; [2,6,7,3,9] ; [2,6,3,7,9] ; [2,3,6,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 9, 8, 5 | [4,7,9,8,5] ; [4,7,8,9,5] ; [4,7,8,5,9] ; [4,7,5,8,9] ; [4,5,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 4, 9, 5 | [8,9,4,0,5] ; [9,8,4,0,5] ; [5,8,4,0,9] ; [8,5,4,0,9] ; [0,5,4,8,9] ; [5,0,4,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=18 | 3x+6=18 ; 3x=12 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 205+487 | round:210+487=697 ; adjust:697-5=692 ; sum=692 |
base_conversion | base_conversion:repeated-division | n=9,base=4 | DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:21 |
list_summation | list_summation:right-to-left | 2, 2, 9, 9 | 9+9=18 ; 2+18=20 ; 2+20=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,4) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-27 | 3x-15=-27 ; x+-5=-9 ; x=-9--5 ; x=-4 |
list_summation | list_summation:right-to-left | 5, 0, 3, 2 | 3+2=5 ; 0+5=5 ; 5+5=10 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 8, 6, 5, 7 | [8,4,6,5,7] ; [8,7,6,5,4] ; [4,7,6,5,8] ; [7,4,6,5,8] ; [7,5,6,4,8] ; [4,5,6,7,8] ; [6,5,4,7,8] ; [4,5,6,7,8] ; [5,4,6,7,8] ; [4,5,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 323+393 | p100:300+300=600 ; p10:20+90=110 ; p1:3+3=6 ; sum=600+110+6=716 |
base_conversion | base_conversion:via-binary | n=94,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1011110 |
list_summation | list_summation:pairwise | 6, 3, 9, 2 | 6+3=9 ; 9+2=11 ; 9+11=20 |
base_conversion | base_conversion:via-binary | n=190,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:6 ; OUT:276 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-28=-70 | 7x-28=-70 ; x=(-70--28)/7 ; x=-42/7 ; x=-6 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 550+879 | p100:500+800=1300 ; p10:50+70=120 ; p1:0+9=9 ; sum=1300+120+9=1429 |
multidigit_addition | multidigit_addition:left-to-right-partials | 135+647 | p100:100+600=700 ; p10:30+40=70 ; p1:5+7=12 ; sum=700+70+12=782 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-16 | 2x-16=-16 ; x+-8=-8 ; x=-8--8 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=-27 | 9x-45=-27 ; x=(-27--45)/9 ; x=18/9 ; x=2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 0, 1, 7 | [2,6,0,1,7] ; [0,2,6,1,7] ; [0,1,2,6,7] ; [0,1,2,6,7] |
list_summation | list_summation:pairwise | 5, 4, 4, 7 | 5+4=9 ; 4+7=11 ; 9+11=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 967+229 | d2:7+9+0=16→w6,c1 ; d1:6+2+1=9→w9,c0 ; d0:9+2+0=11→w1,c1 ; sum=1196 |
base_conversion | base_conversion:decomposition | n=112,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1300 |
list_summation | list_summation:right-to-left | 6, 0, 2, 2 | 2+2=4 ; 0+4=4 ; 6+4=10 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=-32 | 8x+16=-32 ; x+2=-4 ; x=-4-2 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 1, 8, 3 | [0,9,1,8,3] ; [0,1,9,8,3] ; [0,1,8,9,3] ; [0,1,8,3,9] ; [0,1,3,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-36=36 | 9x-36=36 ; x=(36--36)/9 ; x=72/9 ; x=8 |
list_summation | list_summation:left-to-right | 6, 9, 1, 7 | 6+9=15 ; 15+1=16 ; 16+7=23 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-24=12 | 6x-24=12 ; x+-4=2 ; x=2--4 ; x=6 |
list_summation | list_summation:pairwise | 7, 2, 8, 5 | 7+2=9 ; 8+5=13 ; 9+13=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 0, 9, 4 | [1,8,0,9,4] ; [0,1,8,9,4] ; [0,1,8,9,4] ; [0,1,4,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+15=-25 | 5x+15=-25 ; x+3=-5 ; x=-5-3 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 0, 7, 2 | [8,9,0,7,2] ; [0,7,8,9,2] ; [0,2,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 730+998 | p100:700+900=1600 ; p10:30+90=120 ; p1:0+8=8 ; sum=1600+120+8=1728 |
base_conversion | base_conversion:repeated-division | n=166,base=2 | DIV:166/2=83,r:0 ; DIV:83/2=41,r:1 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10100110 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 3, 1, 6 | [1,8,3,4,6] ; [1,3,8,4,6] ; [1,3,4,8,6] ; [1,3,4,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+14=14 | 2x+14=14 ; x+7=7 ; x=7-7 ; x=0 |
list_summation | list_summation:right-to-left | 2, 5, 8, 3 | 8+3=11 ; 5+11=16 ; 2+16=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=72 | 9x+81=72 ; x+9=8 ; x=8-9 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | 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) |
base_conversion | base_conversion:via-binary | n=167,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10100111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 778+698 | round:780+698=1478 ; adjust:1478-2=1476 ; sum=1476 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,3) | D:(2,1) ; R:(2,2) ; R:(2,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 2, 0, 6 | [0,5,2,9,6] ; [0,2,5,9,6] ; [0,2,5,9,6] ; [0,2,5,6,9] |
list_summation | list_summation:pairwise | 7, 8, 0, 0 | 7+8=15 ; 0+0=0 ; 15+0=15 |
list_summation | list_summation:right-to-left | 7, 1, 3, 8 | 3+8=11 ; 1+11=12 ; 7+12=19 |
list_summation | list_summation:pairwise | 1, 0, 6, 0 | 1+0=1 ; 6+0=6 ; 1+6=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 224+438 | round:230+438=668 ; adjust:668-6=662 ; sum=662 |
multidigit_addition | multidigit_addition:rounding-decomposition | 717+167 | round:720+167=887 ; adjust:887-3=884 ; sum=884 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 5, 8, 0 | [3,9,5,8,0] ; [3,5,9,8,0] ; [3,5,8,9,0] ; [0,3,5,8,9] |
list_summation | list_summation:left-to-right | 7, 1, 9, 4 | 7+1=8 ; 8+9=17 ; 17+4=21 |
base_conversion | base_conversion:via-binary | n=83,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1010011 |
list_summation | list_summation:pairwise | 7, 9, 3, 6 | 7+9=16 ; 3+6=9 ; 16+9=25 |
list_summation | list_summation:left-to-right | 1, 4, 4, 2 | 1+4=5 ; 5+4=9 ; 9+2=11 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+0=56 | 8x+0=56 ; x+0=7 ; x=7-0 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-20 | 5x-20=-20 ; x+-4=-4 ; x=-4--4 ; x=0 |
base_conversion | base_conversion:decomposition | n=72,base=16 | TERM:4*16^1=64 ; TERM:8*16^0=8 ; OUT:48 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 0, 2, 7 | [1,9,0,2,7] ; [0,1,9,2,7] ; [0,1,2,9,7] ; [0,1,2,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+45=126 | 9x+45=126 ; x=(126-45)/9 ; x=81/9 ; x=9 |
base_conversion | base_conversion:decomposition | n=3,base=2 | TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 473+853 | d2:3+3+0=6→w6,c0 ; d1:7+5+0=12→w2,c1 ; d0:4+8+1=13→w3,c1 ; sum=1326 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 7, 3, 4 | [4,5,7,3,9] ; [7,5,4,3,9] ; [3,5,4,7,9] ; [5,3,4,7,9] ; [4,3,5,7,9] ; [3,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=110,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:14 ; OUT:6E |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=3 | 3x+3=3 ; x=(3-3)/3 ; x=0/3 ; x=0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 126+441 | round:130+441=571 ; adjust:571-4=567 ; sum=567 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+63=108 | 9x+63=108 ; x+7=12 ; x=12-7 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 5, 6, 1 | [0,9,5,6,1] ; [0,5,6,9,1] ; [0,1,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-48 | 8x-48=-48 ; x=(-48--48)/8 ; x=0/8 ; x=0 |
list_summation | list_summation:pairwise | 8, 8, 0, 2 | 8+8=16 ; 0+2=2 ; 16+2=18 |
base_conversion | base_conversion:via-binary | n=192,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11000000 |
base_conversion | base_conversion:decomposition | n=129,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10000001 |
list_summation | list_summation:pairwise | 4, 0, 8, 9 | 4+0=4 ; 8+9=17 ; 4+17=21 |
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