task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 187+720 | round:190+720=910 ; adjust:910-3=907 ; sum=907 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=200,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11001000 |
base_conversion | base_conversion:via-binary | n=191,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:7 ; OUT:277 |
list_summation | list_summation:left-to-right | 9, 8, 2, 0 | 9+8=17 ; 17+2=19 ; 19+0=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 727+316 | d2:7+6+0=13→w3,c1 ; d1:2+1+1=4→w4,c0 ; d0:7+3+0=10→w0,c1 ; sum=1043 |
multidigit_addition | multidigit_addition:rounding-decomposition | 948+852 | round:950+852=1802 ; adjust:1802-2=1800 ; sum=1800 |
base_conversion | base_conversion:via-binary | n=117,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1110101 |
base_conversion | base_conversion:repeated-division | n=62,base=16 | DIV:62/16=3,r:14 ; DIV:3/16=0,r:3 ; OUT:3E |
list_summation | list_summation:left-to-right | 3, 4, 9, 8 | 3+4=7 ; 7+9=16 ; 16+8=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=-36 | 4x+0=-36 ; x+0=-9 ; x=-9-0 ; x=-9 |
base_conversion | base_conversion:via-binary | n=51,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:3 ; OUT:63 |
multidigit_addition | multidigit_addition:left-to-right-partials | 350+886 | p100:300+800=1100 ; p10:50+80=130 ; p1:0+6=6 ; sum=1100+130+6=1236 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=78 | 6x+30=78 ; x+5=13 ; x=13-5 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 4, 0, 3 | [0,9,4,5,3] ; [0,3,4,5,9] ; [0,3,4,5,9] ; [0,3,4,5,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 5, 6, 8, 1 | [0,1,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 976+793 | d2:6+3+0=9→w9,c0 ; d1:7+9+0=16→w6,c1 ; d0:9+7+1=17→w7,c1 ; sum=1769 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=10 | 5x-5=10 ; x=(10--5)/5 ; x=15/5 ; x=3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 1, 9, 8 | [4,5,1,9,8] ; [1,4,5,9,8] ; [1,4,5,9,8] ; [1,4,5,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-56 | 7x-56=-56 ; x+-8=-8 ; x=-8--8 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 502+355 | round:510+355=865 ; adjust:865-8=857 ; sum=857 |
list_summation | list_summation:pairwise | 9, 8, 2, 4 | 9+8=17 ; 2+4=6 ; 17+6=23 |
base_conversion | base_conversion:decomposition | n=204,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3030 |
multidigit_addition | multidigit_addition:rounding-decomposition | 401+229 | round:410+229=639 ; adjust:639-9=630 ; sum=630 |
base_conversion | base_conversion:via-binary | n=133,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:5 ; OUT:205 |
list_summation | list_summation:pairwise | 2, 1, 1, 3 | 2+1=3 ; 1+3=4 ; 3+4=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+18=-27 | 9x+18=-27 ; x=(-27-18)/9 ; x=-45/9 ; x=-5 |
list_summation | list_summation:right-to-left | 3, 9, 7, 2 | 7+2=9 ; 9+9=18 ; 3+18=21 |
base_conversion | base_conversion:decomposition | n=3,base=4 | TERM:3*4^0=3 ; OUT:3 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 6, 3, 5 | [1,8,6,3,5] ; [1,3,6,8,5] ; [1,3,5,8,6] ; [1,3,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=90 | 5x+45=90 ; x+9=18 ; x=18-9 ; x=9 |
list_summation | list_summation:pairwise | 1, 9, 9, 9 | 1+9=10 ; 9+9=18 ; 10+18=28 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=-6 | 3x+9=-6 ; 3x=-15 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=24,base=8 | DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:30 |
list_summation | list_summation:left-to-right | 0, 6, 5, 4 | 0+6=6 ; 6+5=11 ; 11+4=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-45 | 9x-81=-45 ; x=(-45--81)/9 ; x=36/9 ; x=4 |
list_summation | list_summation:pairwise | 2, 0, 1, 8 | 2+0=2 ; 1+8=9 ; 2+9=11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 298+740 | d2:8+0+0=8→w8,c0 ; d1:9+4+0=13→w3,c1 ; d0:2+7+1=10→w0,c1 ; sum=1038 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-18=-14 | 2x-18=-14 ; x+-9=-7 ; x=-7--9 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-28 | 7x-49=-28 ; 7x=21 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 640+929 | round:640+929=1569 ; adjust:1569-0=1569 ; sum=1569 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 1, 9, 4 | [6,9,1,2,4] ; [9,6,1,2,4] ; [4,6,1,2,9] ; [6,4,1,2,9] ; [2,4,1,6,9] ; [4,2,1,6,9] ; [1,2,4,6,9] ; [2,1,4,6,9] ; [1,2,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 6, 5, 0, 9 | [7,9,5,0,6] ; [9,7,5,0,6] ; [6,7,5,0,9] ; [7,6,5,0,9] ; [0,6,5,7,9] ; [6,0,5,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-63 | 7x-49=-63 ; 7x=-14 ; x=-2 |
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, 4, 9, 1, 0 | [4,7,9,1,0] ; [4,7,1,9,0] ; [4,7,1,0,9] ; [4,1,7,0,9] ; [4,1,0,7,9] ; [1,4,0,7,9] ; [1,0,4,7,9] ; [0,1,4,7,9] |
base_conversion | base_conversion:repeated-division | n=218,base=8 | DIV:218/8=27,r:2 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:332 |
base_conversion | base_conversion:decomposition | n=197,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3011 |
list_summation | list_summation:right-to-left | 4, 4, 3, 5 | 3+5=8 ; 4+8=12 ; 4+12=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 6, 1, 9 | [3,7,6,1,9] ; [3,6,7,1,9] ; [3,6,1,7,9] ; [3,1,6,7,9] ; [1,3,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 125+577 | d2:5+7+0=12→w2,c1 ; d1:2+7+1=10→w0,c1 ; d0:1+5+1=7→w7,c0 ; sum=702 |
multidigit_addition | multidigit_addition:rounding-decomposition | 523+844 | round:530+844=1374 ; adjust:1374-7=1367 ; sum=1367 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 1, 2, 6 | [7,8,1,2,6] ; [1,2,7,8,6] ; [1,2,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 319+552 | round:320+552=872 ; adjust:872-1=871 ; sum=871 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+21=-7 | 7x+21=-7 ; x+3=-1 ; x=-1-3 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=248,base=16 | DIV:248/16=15,r:8 ; DIV:15/16=0,r:15 ; OUT:F8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 327+468 | round:330+468=798 ; adjust:798-3=795 ; sum=795 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,4) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 615+314 | p100:600+300=900 ; p10:10+10=20 ; p1:5+4=9 ; sum=900+20+9=929 |
list_summation | list_summation:left-to-right | 8, 0, 2, 8 | 8+0=8 ; 8+2=10 ; 10+8=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+32=104 | 8x+32=104 ; x+4=13 ; x=13-4 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 700+524 | p100:700+500=1200 ; p10:0+20=20 ; p1:0+4=4 ; sum=1200+20+4=1224 |
base_conversion | base_conversion:via-binary | n=24,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; OUT:11000 |
base_conversion | base_conversion:decomposition | n=26,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:122 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=45 | 5x+5=45 ; x=(45-5)/5 ; x=40/5 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=-21 | 3x+6=-21 ; 3x=-27 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 265+108 | round:270+108=378 ; adjust:378-5=373 ; sum=373 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 1, 9, 2 | [3,7,1,9,2] ; [1,3,7,9,2] ; [1,3,7,9,2] ; [1,2,3,7,9] |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(4,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 351+190 | d2:1+0+0=1→w1,c0 ; d1:5+9+0=14→w4,c1 ; d0:3+1+1=5→w5,c0 ; sum=541 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-10=-4 | 2x-10=-4 ; 2x=6 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(2,4) | D:(1,3) ; D:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 967+765 | p100:900+700=1600 ; p10:60+60=120 ; p1:7+5=12 ; sum=1600+120+12=1732 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=5 | 5x+45=5 ; x+9=1 ; x=1-9 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=188,base=16 | DIV:188/16=11,r:12 ; DIV:11/16=0,r:11 ; OUT:BC |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-26 | 2x-16=-26 ; x=(-26--16)/2 ; x=-10/2 ; x=-5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=-20 | 4x+0=-20 ; 4x=-20 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+18=21 | 3x+18=21 ; x+6=7 ; x=7-6 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=45 | 5x+15=45 ; x=(45-15)/5 ; x=30/5 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 650+158 | d2:0+8+0=8→w8,c0 ; d1:5+5+0=10→w0,c1 ; d0:6+1+1=8→w8,c0 ; sum=808 |
base_conversion | base_conversion:via-binary | n=53,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:311 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+12=18 | 2x+12=18 ; x=(18-12)/2 ; x=6/2 ; x=3 |
list_summation | list_summation:left-to-right | 8, 1, 6, 0 | 8+1=9 ; 9+6=15 ; 15+0=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 7, 8, 5 | [3,7,9,8,5] ; [3,7,8,9,5] ; [3,7,8,5,9] ; [3,7,5,8,9] ; [3,5,7,8,9] |
list_summation | list_summation:right-to-left | 3, 1, 1, 9 | 1+9=10 ; 1+10=11 ; 3+11=14 |
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