task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=82,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1010010 |
multidigit_addition | multidigit_addition:left-to-right-partials | 463+981 | p100:400+900=1300 ; p10:60+80=140 ; p1:3+1=4 ; sum=1300+140+4=1444 |
list_summation | list_summation:pairwise | 4, 4, 4, 2 | 4+4=8 ; 4+2=6 ; 8+6=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 4, 0, 6 | [2,6,4,0,1] ; [6,2,4,0,1] ; [1,2,4,0,6] ; [4,2,1,0,6] ; [0,2,1,4,6] ; [2,0,1,4,6] ; [1,0,2,4,6] ; [0,1,2,4,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 888+862 | d2:8+2+0=10→w0,c1 ; d1:8+6+1=15→w5,c1 ; d0:8+8+1=17→w7,c1 ; sum=1750 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=141,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:215 |
list_summation | list_summation:pairwise | 6, 5, 1, 0 | 6+5=11 ; 1+0=1 ; 11+1=12 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 5, 3, 0 | [6,7,5,3,0] ; [5,6,7,3,0] ; [3,5,6,7,0] ; [0,3,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 900+554 | p100:900+500=1400 ; p10:0+50=50 ; p1:0+4=4 ; sum=1400+50+4=1454 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 2, 7, 6 | [0,1,2,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 5, 2, 8, 6 | [5,9,2,8,6] ; [2,5,8,9,6] ; [2,5,6,8,9] |
base_conversion | base_conversion:decomposition | n=34,base=8 | TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:42 |
base_conversion | base_conversion:repeated-division | n=92,base=8 | DIV:92/8=11,r:4 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:134 |
list_summation | list_summation:right-to-left | 9, 8, 8, 2 | 8+2=10 ; 8+10=18 ; 9+18=27 |
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:via-binary | n=71,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:7 ; OUT:107 |
list_summation | list_summation:right-to-left | 2, 6, 2, 0 | 2+0=2 ; 6+2=8 ; 2+8=10 |
base_conversion | base_conversion:repeated-division | n=146,base=16 | DIV:146/16=9,r:2 ; DIV:9/16=0,r:9 ; OUT:92 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=21 | 7x+56=21 ; 7x=-35 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=3,base=4 | DIV:3/4=0,r:3 ; OUT:3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 6, 5, 5, 3 | 5+3=8 ; 5+8=13 ; 6+13=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=128 | 8x+56=128 ; x=(128-56)/8 ; x=72/8 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-56=-56 | 8x-56=-56 ; x+-7=-7 ; x=-7--7 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 9, 4, 9, 8 | 9+4=13 ; 9+8=17 ; 13+17=30 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=120 | 8x+64=120 ; 8x=56 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-6=-8 | 2x-6=-8 ; x=(-8--6)/2 ; x=-2/2 ; x=-1 |
list_summation | list_summation:pairwise | 5, 3, 2, 0 | 5+3=8 ; 2+0=2 ; 8+2=10 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
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) |
base_conversion | base_conversion:repeated-division | n=164,base=2 | DIV:164/2=82,r:0 ; DIV:82/2=41,r:0 ; 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:10100100 |
base_conversion | base_conversion:repeated-division | n=247,base=8 | DIV:247/8=30,r:7 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:367 |
list_summation | list_summation:left-to-right | 3, 6, 9, 3 | 3+6=9 ; 9+9=18 ; 18+3=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-84 | 7x-42=-84 ; 7x=-42 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 130+680 | p100:100+600=700 ; p10:30+80=110 ; p1:0+0=0 ; sum=700+110+0=810 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+42=78 | 6x+42=78 ; x+7=13 ; x=13-7 ; x=6 |
base_conversion | base_conversion:repeated-division | n=13,base=16 | DIV:13/16=0,r:13 ; OUT:D |
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:divide-then-subtract | 4x-32=-12 | 4x-32=-12 ; x+-8=-3 ; x=-3--8 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 659+909 | p100:600+900=1500 ; p10:50+0=50 ; p1:9+9=18 ; sum=1500+50+18=1568 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=28 | 2x+10=28 ; x+5=14 ; x=14-5 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=-33 | 3x-6=-33 ; x+-2=-11 ; x=-11--2 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 276+750 | round:280+750=1030 ; adjust:1030-4=1026 ; sum=1026 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 5, 2, 7, 8 | 5+2=7 ; 7+8=15 ; 7+15=22 |
multidigit_addition | multidigit_addition:left-to-right-partials | 327+454 | p100:300+400=700 ; p10:20+50=70 ; p1:7+4=11 ; sum=700+70+11=781 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 7, 6, 1 | [4,5,7,6,1] ; [4,5,7,6,1] ; [4,5,6,7,1] ; [1,4,5,6,7] |
base_conversion | base_conversion:repeated-division | n=12,base=8 | DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:14 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 9, 6, 1 | [2,8,9,6,1] ; [2,8,9,6,1] ; [2,6,8,9,1] ; [1,2,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 3, 7, 5 | [8,9,3,7,5] ; [3,8,9,7,5] ; [3,7,8,9,5] ; [3,5,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-6 | 6x-54=-6 ; x=(-6--54)/6 ; x=48/6 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=141,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10001101 |
base_conversion | base_conversion:via-binary | n=240,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:0 ; OUT:F0 |
list_summation | list_summation:right-to-left | 4, 3, 7, 0 | 7+0=7 ; 3+7=10 ; 4+10=14 |
list_summation | list_summation:pairwise | 7, 4, 4, 1 | 7+4=11 ; 4+1=5 ; 11+5=16 |
base_conversion | base_conversion:decomposition | n=66,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1002 |
multidigit_addition | multidigit_addition:rounding-decomposition | 686+566 | round:690+566=1256 ; adjust:1256-4=1252 ; sum=1252 |
base_conversion | base_conversion:via-binary | n=50,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:2 ; OUT:62 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=-12 | 6x+30=-12 ; x=(-12-30)/6 ; x=-42/6 ; x=-7 |
base_conversion | base_conversion:via-binary | n=222,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11011110 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 7, 5, 2 | [3,4,7,5,2] ; [3,4,5,7,2] ; [3,4,5,2,7] ; [3,4,2,5,7] ; [3,2,4,5,7] ; [2,3,4,5,7] |
list_summation | list_summation:left-to-right | 7, 1, 3, 1 | 7+1=8 ; 8+3=11 ; 11+1=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,3) | D:(2,2) ; R:(2,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 9, 5, 1, 7 | [0,9,1,5,7] ; [0,1,5,9,7] ; [0,1,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 808+504 | d2:8+4+0=12→w2,c1 ; d1:0+0+1=1→w1,c0 ; d0:8+5+0=13→w3,c1 ; sum=1312 |
multidigit_addition | multidigit_addition:rounding-decomposition | 362+134 | round:370+134=504 ; adjust:504-8=496 ; sum=496 |
base_conversion | base_conversion:repeated-division | n=146,base=4 | DIV:146/4=36,r:2 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2102 |
list_summation | list_summation:left-to-right | 0, 7, 4, 1 | 0+7=7 ; 7+4=11 ; 11+1=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-12=6 | 6x-12=6 ; 6x=18 ; x=3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 325+463 | p100:300+400=700 ; p10:20+60=80 ; p1:5+3=8 ; sum=700+80+8=788 |
list_summation | list_summation:pairwise | 6, 8, 1, 0 | 6+8=14 ; 1+0=1 ; 14+1=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:decomposition | n=183,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2313 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 9, 6, 5, 0 | 5+0=5 ; 6+5=11 ; 9+11=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+36=90 | 6x+36=90 ; x+6=15 ; x=15-6 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 0, 9, 8 | [0,5,7,9,8] ; [0,5,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 6, 9, 0 | [5,6,7,9,0] ; [5,6,7,0,9] ; [5,6,0,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 3, 6, 5, 0 | [2,5,6,3,0] ; [6,5,2,3,0] ; [0,5,2,3,6] ; [5,0,2,3,6] ; [5,3,2,0,6] ; [0,3,2,5,6] ; [3,0,2,5,6] ; [2,0,3,5,6] ; [0,2,3,5,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=0 | 6x+12=0 ; x=(0-12)/6 ; x=-12/6 ; x=-2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 319+834 | p100:300+800=1100 ; p10:10+30=40 ; p1:9+4=13 ; sum=1100+40+13=1153 |
list_summation | list_summation:left-to-right | 9, 2, 0, 1 | 9+2=11 ; 11+0=11 ; 11+1=12 |
list_summation | list_summation:left-to-right | 7, 8, 8, 7 | 7+8=15 ; 15+8=23 ; 23+7=30 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 3, 9, 2, 6 | [0,6,9,2,3] ; [9,6,0,2,3] ; [3,6,0,2,9] ; [6,3,0,2,9] ; [2,3,0,6,9] ; [3,2,0,6,9] ; [0,2,3,6,9] ; [2,0,3,6,9] ; [0,2,3,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 860+247 | d2:0+7+0=7→w7,c0 ; d1:6+4+0=10→w0,c1 ; d0:8+2+1=11→w1,c1 ; sum=1107 |
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:subtract-then-divide | 4x+16=0 | 4x+16=0 ; 4x=-16 ; x=-4 |
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