task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 4, 9, 9, 4 | 4+9=13 ; 9+4=13 ; 13+13=26 |
base_conversion | base_conversion:via-binary | n=196,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11000100 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-75 | 5x-45=-75 ; x+-9=-15 ; x=-15--9 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,3) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
list_summation | list_summation:right-to-left | 4, 4, 5, 5 | 5+5=10 ; 4+10=14 ; 4+14=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=48 | 8x-16=48 ; x=(48--16)/8 ; x=64/8 ; x=8 |
list_summation | list_summation:right-to-left | 5, 4, 4, 4 | 4+4=8 ; 4+8=12 ; 5+12=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,4) | D:(3,3) ; R:(3,4) |
list_summation | list_summation:right-to-left | 2, 2, 9, 0 | 9+0=9 ; 2+9=11 ; 2+11=13 |
base_conversion | base_conversion:via-binary | n=54,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:6 ; OUT:36 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 5, 9, 8 | [1,9,5,4,8] ; [9,1,5,4,8] ; [9,8,5,4,1] ; [1,8,5,4,9] ; [8,1,5,4,9] ; [8,4,5,1,9] ; [1,4,5,8,9] ; [5,4,1,8,9] ; [1,4,5,8,9] ; [4,1,5,8,9] ; [1,4,5,8,9] |
list_summation | list_summation:left-to-right | 8, 5, 1, 0 | 8+5=13 ; 13+1=14 ; 14+0=14 |
base_conversion | base_conversion:via-binary | n=220,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11011100 |
multidigit_addition | multidigit_addition:right-to-left-carry | 675+728 | d2:5+8+0=13→w3,c1 ; d1:7+2+1=10→w0,c1 ; d0:6+7+1=14→w4,c1 ; sum=1403 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=28,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:130 |
base_conversion | base_conversion:via-binary | n=246,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:6 ; OUT:F6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=105,base=8 | DIV:105/8=13,r:1 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:151 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 1, 4, 5, 3 | [1,6,4,5,3] ; [1,3,4,5,6] ; [1,3,4,5,6] ; [1,3,4,5,6] |
base_conversion | base_conversion:decomposition | n=248,base=8 | TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:0*8^0=0 ; OUT:370 |
list_summation | list_summation:pairwise | 4, 3, 5, 1 | 4+3=7 ; 5+1=6 ; 7+6=13 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 5, 2, 6 | [9,8,5,2,6] ; [6,8,5,2,9] ; [8,6,5,2,9] ; [2,6,5,8,9] ; [6,2,5,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+0=14 | 7x+0=14 ; x+0=2 ; x=2-0 ; x=2 |
base_conversion | base_conversion:via-binary | n=54,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:6 ; OUT:36 |
multidigit_addition | multidigit_addition:right-to-left-carry | 244+486 | d2:4+6+0=10→w0,c1 ; d1:4+8+1=13→w3,c1 ; d0:2+4+1=7→w7,c0 ; sum=730 |
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 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 4, 5, 3 | [9,5,4,0,3] ; [3,5,4,0,9] ; [5,3,4,0,9] ; [0,3,4,5,9] ; [4,3,0,5,9] ; [0,3,4,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=28 | 4x+8=28 ; 4x=20 ; x=5 |
list_summation | list_summation:left-to-right | 9, 8, 7, 5 | 9+8=17 ; 17+7=24 ; 24+5=29 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 206+321 | p100:200+300=500 ; p10:0+20=20 ; p1:6+1=7 ; sum=500+20+7=527 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
base_conversion | base_conversion:repeated-division | n=207,base=4 | DIV:207/4=51,r:3 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3033 |
list_summation | list_summation:left-to-right | 3, 0, 2, 5 | 3+0=3 ; 3+2=5 ; 5+5=10 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=36 | 9x-9=36 ; 9x=45 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 5, 2, 9, 3 | [7,9,2,5,3] ; [9,7,2,5,3] ; [3,7,2,5,9] ; [7,3,2,5,9] ; [7,5,2,3,9] ; [3,5,2,7,9] ; [5,3,2,7,9] ; [2,3,5,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 8, 3, 4 | [2,7,8,3,4] ; [2,7,8,3,4] ; [2,3,7,8,4] ; [2,3,4,7,8] |
list_summation | list_summation:pairwise | 2, 4, 1, 2 | 2+4=6 ; 1+2=3 ; 6+3=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=70 | 7x+42=70 ; x+6=10 ; x=10-6 ; x=4 |
base_conversion | base_conversion:repeated-division | n=109,base=2 | DIV:109/2=54,r:1 ; DIV:54/2=27,r:0 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1101101 |
list_summation | list_summation:left-to-right | 9, 5, 7, 8 | 9+5=14 ; 14+7=21 ; 21+8=29 |
multidigit_addition | multidigit_addition:right-to-left-carry | 439+131 | d2:9+1+0=10→w0,c1 ; d1:3+3+1=7→w7,c0 ; d0:4+1+0=5→w5,c0 ; sum=570 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | 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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 875+711 | p100:800+700=1500 ; p10:70+10=80 ; p1:5+1=6 ; sum=1500+80+6=1586 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 6, 5, 0 | [7,5,6,1,0] ; [0,5,6,1,7] ; [6,5,0,1,7] ; [1,5,0,6,7] ; [5,1,0,6,7] ; [0,1,5,6,7] ; [1,0,5,6,7] ; [0,1,5,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 2, 5, 9, 3 | [2,4,5,9,3] ; [2,3,4,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+0=36 | 4x+0=36 ; x=(36-0)/4 ; x=36/4 ; x=9 |
base_conversion | base_conversion:via-binary | n=31,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; OUT:133 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 9, 6, 4 | [4,7,9,6,8] ; [4,6,9,7,8] ; [4,6,7,9,8] ; [4,6,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 282+170 | d2:2+0+0=2→w2,c0 ; d1:8+7+0=15→w5,c1 ; d0:2+1+1=4→w4,c0 ; sum=452 |
list_summation | list_summation:right-to-left | 3, 4, 5, 0 | 5+0=5 ; 4+5=9 ; 3+9=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 284+674 | round:290+674=964 ; adjust:964-6=958 ; sum=958 |
base_conversion | base_conversion:decomposition | n=140,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:2030 |
base_conversion | base_conversion:via-binary | n=88,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:1120 |
base_conversion | base_conversion:decomposition | n=176,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10110000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 7, 8, 2 | [1,3,7,2,8] ; [1,3,2,7,8] ; [1,2,3,7,8] |
base_conversion | base_conversion:via-binary | n=177,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2301 |
list_summation | list_summation:right-to-left | 1, 7, 0, 4 | 0+4=4 ; 7+4=11 ; 1+11=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 232+440 | round:240+440=680 ; adjust:680-8=672 ; sum=672 |
multidigit_addition | multidigit_addition:rounding-decomposition | 343+383 | round:350+383=733 ; adjust:733-7=726 ; sum=726 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 4, 2, 8 | [1,6,4,2,8] ; [1,4,6,2,8] ; [1,2,4,6,8] ; [1,2,4,6,8] |
list_summation | list_summation:right-to-left | 6, 5, 5, 5 | 5+5=10 ; 5+10=15 ; 6+15=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-28=-56 | 4x-28=-56 ; x+-7=-14 ; x=-14--7 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 8, 2, 9 | [4,5,2,8,9] ; [4,2,5,8,9] ; [2,4,5,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 248+524 | d2:8+4+0=12→w2,c1 ; d1:4+2+1=7→w7,c0 ; d0:2+5+0=7→w7,c0 ; sum=772 |
multidigit_addition | multidigit_addition:rounding-decomposition | 905+550 | round:910+550=1460 ; adjust:1460-5=1455 ; sum=1455 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
list_summation | list_summation:left-to-right | 7, 2, 1, 1 | 7+2=9 ; 9+1=10 ; 10+1=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; R:(2,4) ; D:(3,4) |
list_summation | list_summation:pairwise | 5, 9, 8, 3 | 5+9=14 ; 8+3=11 ; 14+11=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-3=-24 | 3x-3=-24 ; x+-1=-8 ; x=-8--1 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 4, 2, 3, 5 | [4,8,2,3,5] ; [2,4,8,3,5] ; [2,3,4,8,5] ; [2,3,4,5,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-8 | 8x-16=-8 ; 8x=8 ; x=1 |
list_summation | list_summation:left-to-right | 4, 2, 0, 4 | 4+2=6 ; 6+0=6 ; 6+4=10 |
multidigit_addition | multidigit_addition:rounding-decomposition | 102+663 | round:110+663=773 ; adjust:773-8=765 ; sum=765 |
base_conversion | base_conversion:decomposition | n=245,base=16 | TERM:15*16^1=240 ; TERM:5*16^0=5 ; OUT:F5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=48,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:110000 |
list_summation | list_summation:pairwise | 3, 5, 5, 8 | 3+5=8 ; 5+8=13 ; 8+13=21 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 8, 9, 3, 4 | [3,8,9,6,4] ; [3,4,9,6,8] ; [3,4,6,9,8] ; [3,4,6,8,9] |
list_summation | list_summation:right-to-left | 2, 3, 8, 9 | 8+9=17 ; 3+17=20 ; 2+20=22 |
base_conversion | base_conversion:decomposition | n=153,base=16 | TERM:9*16^1=144 ; TERM:9*16^0=9 ; OUT:99 |
list_summation | list_summation:left-to-right | 5, 4, 8, 3 | 5+4=9 ; 9+8=17 ; 17+3=20 |
list_summation | list_summation:right-to-left | 3, 3, 3, 5 | 3+5=8 ; 3+8=11 ; 3+11=14 |
list_summation | list_summation:pairwise | 0, 7, 1, 7 | 0+7=7 ; 1+7=8 ; 7+8=15 |
base_conversion | base_conversion:repeated-division | n=35,base=16 | DIV:35/16=2,r:3 ; DIV:2/16=0,r:2 ; OUT:23 |
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:pairwise | 0, 3, 8, 3 | 0+3=3 ; 8+3=11 ; 3+11=14 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 2, 4, 6 | [2,4,5,7,6] ; [2,4,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-112 | 8x-56=-112 ; 8x=-56 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=42 | 6x+24=42 ; x=(42-24)/6 ; x=18/6 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 3, 1, 0, 2 | 3+1=4 ; 4+0=4 ; 4+2=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; R:(1,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 3, 2, 6 | [4,8,2,3,6] ; [2,3,4,8,6] ; [2,3,4,6,8] |
list_summation | list_summation:left-to-right | 3, 7, 3, 4 | 3+7=10 ; 10+3=13 ; 13+4=17 |
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