task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 303+135 | p100:300+100=400 ; p10:0+30=30 ; p1:3+5=8 ; sum=400+30+8=438 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 0, 7, 6, 3 | [0,1,7,6,3] ; [0,1,6,7,3] ; [0,1,3,6,7] |
list_summation | list_summation:right-to-left | 6, 7, 0, 6 | 0+6=6 ; 7+6=13 ; 6+13=19 |
list_summation | list_summation:pairwise | 5, 4, 1, 2 | 5+4=9 ; 1+2=3 ; 9+3=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=6 | 6x-18=6 ; x+-3=1 ; x=1--3 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(4,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 1, 5, 0 | [3,4,1,5,0] ; [1,3,4,5,0] ; [1,3,4,5,0] ; [0,1,3,4,5] |
list_summation | list_summation:left-to-right | 6, 7, 1, 7 | 6+7=13 ; 13+1=14 ; 14+7=21 |
list_summation | list_summation:left-to-right | 3, 7, 0, 7 | 3+7=10 ; 10+0=10 ; 10+7=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 3, 7, 1 | [3,5,6,7,1] ; [1,3,5,6,7] |
list_summation | list_summation:right-to-left | 9, 2, 3, 7 | 3+7=10 ; 2+10=12 ; 9+12=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 479+877 | d2:9+7+0=16→w6,c1 ; d1:7+7+1=15→w5,c1 ; d0:4+8+1=13→w3,c1 ; sum=1356 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 0, 5, 4 | [0,2,5,9,4] ; [0,2,4,5,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 0, 2, 9 | [1,7,0,2,9] ; [0,1,2,7,9] |
base_conversion | base_conversion:decomposition | n=203,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11001011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 888+567 | round:890+567=1457 ; adjust:1457-2=1455 ; sum=1455 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-4=-4 | 2x-4=-4 ; 2x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 838+275 | p100:800+200=1000 ; p10:30+70=100 ; p1:8+5=13 ; sum=1000+100+13=1113 |
base_conversion | base_conversion:decomposition | n=223,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:337 |
list_summation | list_summation:pairwise | 7, 4, 0, 3 | 7+4=11 ; 0+3=3 ; 11+3=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 804+957 | d2:4+7+0=11→w1,c1 ; d1:0+5+1=6→w6,c0 ; d0:8+9+0=17→w7,c1 ; sum=1761 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=172,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:2230 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-14=-22 | 2x-14=-22 ; x+-7=-11 ; x=-11--7 ; x=-4 |
base_conversion | base_conversion:decomposition | n=18,base=4 | TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:102 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=32 | 8x+72=32 ; x+9=4 ; x=4-9 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=3,base=4 | DIV:3/4=0,r:3 ; OUT:3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 315+996 | round:320+996=1316 ; adjust:1316-5=1311 ; sum=1311 |
list_summation | list_summation:right-to-left | 4, 7, 8, 6 | 8+6=14 ; 7+14=21 ; 4+21=25 |
base_conversion | base_conversion:decomposition | n=181,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:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10110101 |
list_summation | list_summation:pairwise | 7, 1, 9, 2 | 7+1=8 ; 9+2=11 ; 8+11=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 5, 4, 7, 2 | [3,5,4,7,2] ; [3,4,5,7,2] ; [3,4,5,7,2] ; [2,3,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 491+147 | round:500+147=647 ; adjust:647-9=638 ; sum=638 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=26 | 2x+10=26 ; x+5=13 ; x=13-5 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 8, 1, 4 | [3,5,8,1,4] ; [3,5,1,8,4] ; [1,3,5,8,4] ; [1,3,4,5,8] |
base_conversion | base_conversion:decomposition | n=214,base=16 | TERM:13*16^1=208 ; TERM:6*16^0=6 ; OUT:D6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 6, 2, 7 | [0,9,6,2,7] ; [0,6,9,2,7] ; [0,2,6,9,7] ; [0,2,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(2,3) | D:(1,2) ; D:(2,2) ; R:(2,3) |
base_conversion | base_conversion:via-binary | n=128,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:0 ; OUT:80 |
list_summation | list_summation:right-to-left | 0, 9, 9, 9 | 9+9=18 ; 9+18=27 ; 0+27=27 |
list_summation | list_summation:left-to-right | 4, 5, 9, 8 | 4+5=9 ; 9+9=18 ; 18+8=26 |
list_summation | list_summation:right-to-left | 9, 4, 5, 0 | 5+0=5 ; 4+5=9 ; 9+9=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=36 | 6x+24=36 ; x=(36-24)/6 ; x=12/6 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 114+513 | p100:100+500=600 ; p10:10+10=20 ; p1:4+3=7 ; sum=600+20+7=627 |
list_summation | list_summation:pairwise | 0, 7, 4, 4 | 0+7=7 ; 4+4=8 ; 7+8=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 624+555 | round:630+555=1185 ; adjust:1185-6=1179 ; sum=1179 |
base_conversion | base_conversion:via-binary | n=221,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:7:1 ; OUT:11011101 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 9, 6, 0 | [0,4,9,6,7] ; [0,4,9,6,7] ; [0,4,6,9,7] ; [0,4,6,7,9] |
list_summation | list_summation:left-to-right | 5, 4, 5, 4 | 5+4=9 ; 9+5=14 ; 14+4=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=48 | 6x-6=48 ; x+-1=8 ; x=8--1 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 877+473 | round:880+473=1353 ; adjust:1353-3=1350 ; sum=1350 |
list_summation | list_summation:right-to-left | 2, 4, 6, 6 | 6+6=12 ; 4+12=16 ; 2+16=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 805+170 | round:810+170=980 ; adjust:980-5=975 ; sum=975 |
multidigit_addition | multidigit_addition:rounding-decomposition | 470+517 | round:470+517=987 ; adjust:987-0=987 ; sum=987 |
multidigit_addition | multidigit_addition:left-to-right-partials | 761+741 | p100:700+700=1400 ; p10:60+40=100 ; p1:1+1=2 ; sum=1400+100+2=1502 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 8, 3, 9 | [4,7,8,3,9] ; [4,7,8,3,9] ; [3,4,7,8,9] ; [3,4,7,8,9] |
base_conversion | base_conversion:decomposition | n=224,base=16 | TERM:14*16^1=224 ; TERM:0*16^0=0 ; OUT:E0 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 7, 0, 8 | [0,4,7,6,8] ; [0,4,7,6,8] ; [0,4,6,7,8] ; [0,4,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 314+533 | p100:300+500=800 ; p10:10+30=40 ; p1:4+3=7 ; sum=800+40+7=847 |
base_conversion | base_conversion:repeated-division | n=6,base=2 | DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=-3 | 3x+12=-3 ; x=(-3-12)/3 ; x=-15/3 ; x=-5 |
list_summation | list_summation:pairwise | 4, 3, 3, 9 | 4+3=7 ; 3+9=12 ; 7+12=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 4, 8, 1 | [2,8,4,7,1] ; [8,2,4,7,1] ; [8,7,4,2,1] ; [1,7,4,2,8] ; [7,1,4,2,8] ; [7,2,4,1,8] ; [1,2,4,7,8] ; [4,2,1,7,8] ; [1,2,4,7,8] ; [2,1,4,7,8] ; [1,2,4,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=-54 | 9x+9=-54 ; x=(-54-9)/9 ; x=-63/9 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=159,base=2 | DIV:159/2=79,r:1 ; DIV:79/2=39,r:1 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10011111 |
list_summation | list_summation:left-to-right | 4, 0, 8, 9 | 4+0=4 ; 4+8=12 ; 12+9=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 6, 1, 2, 5 | [1,2,3,6,5] ; [1,2,3,5,6] |
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 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=24 | 4x+0=24 ; x+0=6 ; x=6-0 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 622+530 | d2:2+0+0=2→w2,c0 ; d1:2+3+0=5→w5,c0 ; d0:6+5+0=11→w1,c1 ; sum=1152 |
base_conversion | base_conversion:repeated-division | n=4,base=2 | DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100 |
multidigit_addition | multidigit_addition:rounding-decomposition | 333+965 | round:340+965=1305 ; adjust:1305-7=1298 ; sum=1298 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 2, 1, 4 | [4,5,2,1,6] ; [5,4,2,1,6] ; [1,4,2,5,6] ; [4,1,2,5,6] ; [2,1,4,5,6] ; [1,2,4,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 257+302 | round:260+302=562 ; adjust:562-3=559 ; sum=559 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 0, 3, 9 | [5,8,0,3,9] ; [0,3,5,8,9] |
list_summation | list_summation:pairwise | 3, 8, 3, 2 | 3+8=11 ; 3+2=5 ; 11+5=16 |
list_summation | list_summation:left-to-right | 7, 0, 2, 9 | 7+0=7 ; 7+2=9 ; 9+9=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+8=16 | 4x+8=16 ; x=(16-8)/4 ; x=8/4 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 825+368 | d2:5+8+0=13→w3,c1 ; d1:2+6+1=9→w9,c0 ; d0:8+3+0=11→w1,c1 ; sum=1193 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 5, 9, 8 | [2,5,7,9,8] ; [2,5,7,8,9] |
base_conversion | base_conversion:via-binary | n=133,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:5 ; OUT:85 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+45=55 | 5x+45=55 ; x=(55-45)/5 ; x=10/5 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=20 | 5x+5=20 ; 5x=15 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=-10 | 5x-10=-10 ; x+-2=-2 ; x=-2--2 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 212+601 | round:220+601=821 ; adjust:821-8=813 ; sum=813 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+4=0 | 2x+4=0 ; 2x=-4 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=233,base=8 | DIV:233/8=29,r:1 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:351 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-63=-84 | 7x-63=-84 ; x=(-84--63)/7 ; x=-21/7 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-12=6 | 6x-12=6 ; x+-2=1 ; x=1--2 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 5, 3, 6, 2 | [4,6,3,5,2] ; [6,4,3,5,2] ; [6,5,3,4,2] ; [2,5,3,4,6] ; [5,2,3,4,6] ; [5,4,3,2,6] ; [2,4,3,5,6] ; [4,2,3,5,6] ; [3,2,4,5,6] ; [2,3,4,5,6] |
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