task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 1, 1, 8, 0 | 8+0=8 ; 1+8=9 ; 1+9=10 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 3, 1, 7, 8 | [1,3,2,7,8] ; [1,2,3,7,8] ; [1,2,3,7,8] ; [1,2,3,7,8] |
base_conversion | base_conversion:via-binary | n=236,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:4 ; OUT:354 |
base_conversion | base_conversion:repeated-division | n=235,base=2 | DIV:235/2=117,r:1 ; DIV:117/2=58,r:1 ; DIV:58/2=29,r:0 ; DIV:29/2=14,r:1 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11101011 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 8, 7, 0 | [0,4,8,7,1] ; [0,1,8,7,4] ; [0,1,4,7,8] ; [0,1,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=24 | 8x+56=24 ; x+7=3 ; x=3-7 ; x=-4 |
base_conversion | base_conversion:decomposition | n=51,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:110011 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,4) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 427+170 | d2:7+0+0=7→w7,c0 ; d1:2+7+0=9→w9,c0 ; d0:4+1+0=5→w5,c0 ; sum=597 |
multidigit_addition | multidigit_addition:rounding-decomposition | 335+739 | round:340+739=1079 ; adjust:1079-5=1074 ; sum=1074 |
list_summation | list_summation:pairwise | 3, 3, 3, 3 | 3+3=6 ; 3+3=6 ; 6+6=12 |
base_conversion | base_conversion:via-binary | n=134,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10000110 |
base_conversion | base_conversion:repeated-division | n=232,base=4 | DIV:232/4=58,r:0 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3220 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 8, 6, 3 | [2,5,8,6,3] ; [2,5,8,6,3] ; [2,5,6,8,3] ; [2,3,5,6,8] |
list_summation | list_summation:pairwise | 9, 9, 7, 9 | 9+9=18 ; 7+9=16 ; 18+16=34 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=4 | 2x+12=4 ; 2x=-8 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 6, 4, 5 | [5,7,6,4,9] ; [7,5,6,4,9] ; [4,5,6,7,9] ; [6,5,4,7,9] ; [4,5,6,7,9] ; [5,4,6,7,9] ; [4,5,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 4, 6, 8, 5 | [4,7,6,8,5] ; [4,6,7,8,5] ; [4,5,6,7,8] |
list_summation | list_summation:pairwise | 7, 7, 8, 4 | 7+7=14 ; 8+4=12 ; 14+12=26 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 3, 7, 0 | [4,3,6,7,0] ; [4,3,6,0,7] ; [3,4,6,0,7] ; [3,4,0,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 3, 8, 7 | [6,8,3,0,7] ; [8,6,3,0,7] ; [8,7,3,0,6] ; [6,7,3,0,8] ; [7,6,3,0,8] ; [0,6,3,7,8] ; [6,0,3,7,8] ; [3,0,6,7,8] ; [0,3,6,7,8] |
list_summation | list_summation:left-to-right | 2, 6, 4, 5 | 2+6=8 ; 8+4=12 ; 12+5=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 886+878 | d2:6+8+0=14→w4,c1 ; d1:8+7+1=16→w6,c1 ; d0:8+8+1=17→w7,c1 ; sum=1764 |
multidigit_addition | multidigit_addition:left-to-right-partials | 154+157 | p100:100+100=200 ; p10:50+50=100 ; p1:4+7=11 ; sum=200+100+11=311 |
multidigit_addition | multidigit_addition:rounding-decomposition | 826+463 | round:830+463=1293 ; adjust:1293-4=1289 ; sum=1289 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 0, 1, 5 | [3,5,0,1,4] ; [5,3,0,1,4] ; [5,4,0,1,3] ; [3,4,0,1,5] ; [4,3,0,1,5] ; [1,3,0,4,5] ; [3,1,0,4,5] ; [0,1,3,4,5] ; [1,0,3,4,5] ; [0,1,3,4,5] |
list_summation | list_summation:pairwise | 6, 3, 7, 1 | 6+3=9 ; 7+1=8 ; 9+8=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=-32 | 8x-16=-32 ; x=(-32--16)/8 ; x=-16/8 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 372+674 | d2:2+4+0=6→w6,c0 ; d1:7+7+0=14→w4,c1 ; d0:3+6+1=10→w0,c1 ; sum=1046 |
base_conversion | base_conversion:repeated-division | n=209,base=16 | DIV:209/16=13,r:1 ; DIV:13/16=0,r:13 ; OUT:D1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=-7 | 7x+28=-7 ; x=(-7-28)/7 ; x=-35/7 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 5, 8, 0 | [1,2,5,0,8] ; [1,2,0,5,8] ; [1,0,2,5,8] ; [0,1,2,5,8] |
base_conversion | base_conversion:repeated-division | n=200,base=2 | DIV:200/2=100,r:0 ; DIV:100/2=50,r:0 ; DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; 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:11001000 |
multidigit_addition | multidigit_addition:left-to-right-partials | 777+953 | p100:700+900=1600 ; p10:70+50=120 ; p1:7+3=10 ; sum=1600+120+10=1730 |
base_conversion | base_conversion:via-binary | n=233,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:9 ; OUT:E9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,3) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:via-binary | n=77,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1001101 |
base_conversion | base_conversion:decomposition | n=207,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:317 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-54 | 9x-72=-54 ; x=(-54--72)/9 ; x=18/9 ; x=2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=-14 | 7x+42=-14 ; x+6=-2 ; x=-2-6 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=204,base=2 | DIV:204/2=102,r:0 ; DIV:102/2=51,r:0 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; 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:11001100 |
base_conversion | base_conversion:repeated-division | n=183,base=8 | DIV:183/8=22,r:7 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:267 |
multidigit_addition | multidigit_addition:right-to-left-carry | 177+357 | d2:7+7+0=14→w4,c1 ; d1:7+5+1=13→w3,c1 ; d0:1+3+1=5→w5,c0 ; sum=534 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=56 | 7x+28=56 ; 7x=28 ; x=4 |
base_conversion | base_conversion:via-binary | n=28,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:12 ; OUT:1C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=36 | 9x+9=36 ; 9x=27 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 6, 8, 7, 0 | [6,9,8,7,0] ; [6,8,9,7,0] ; [6,8,7,9,0] ; [6,8,7,0,9] ; [6,7,8,0,9] ; [6,7,0,8,9] ; [6,0,7,8,9] ; [0,6,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 5, 6, 9 | [0,3,5,6,9] ; [0,3,5,6,9] ; [0,3,5,6,9] ; [0,3,5,6,9] |
base_conversion | base_conversion:repeated-division | n=64,base=2 | DIV:64/2=32,r:0 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1000000 |
base_conversion | base_conversion:repeated-division | n=211,base=2 | DIV:211/2=105,r:1 ; DIV:105/2=52,r:1 ; DIV:52/2=26,r:0 ; DIV:26/2=13,r:0 ; 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:11010011 |
base_conversion | base_conversion:repeated-division | n=159,base=4 | DIV:159/4=39,r:3 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2133 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 2, 1, 9 | [1,8,2,3,9] ; [1,2,8,3,9] ; [1,2,3,8,9] ; [1,2,3,8,9] |
base_conversion | base_conversion:decomposition | n=34,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:100010 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,1) | R:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+28=56 | 7x+28=56 ; x+4=8 ; x=8-4 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-9=-21 | 3x-9=-21 ; 3x=-12 ; x=-4 |
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) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 6, 8, 0 | [4,8,6,7,0] ; [8,4,6,7,0] ; [8,7,6,4,0] ; [0,7,6,4,8] ; [7,0,6,4,8] ; [7,4,6,0,8] ; [0,4,6,7,8] ; [6,4,0,7,8] ; [0,4,6,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
base_conversion | base_conversion:repeated-division | n=180,base=16 | DIV:180/16=11,r:4 ; DIV:11/16=0,r:11 ; OUT:B4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:left-to-right | 4, 4, 6, 7 | 4+4=8 ; 8+6=14 ; 14+7=21 |
base_conversion | base_conversion:decomposition | n=106,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:2*8^0=2 ; OUT:152 |
base_conversion | base_conversion:via-binary | n=118,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:6 ; OUT:76 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
list_summation | list_summation:pairwise | 2, 8, 6, 8 | 2+8=10 ; 6+8=14 ; 10+14=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 883+540 | p100:800+500=1300 ; p10:80+40=120 ; p1:3+0=3 ; sum=1300+120+3=1423 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=24 | 3x+0=24 ; x=(24-0)/3 ; x=24/3 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=63 | 7x+56=63 ; x=(63-56)/7 ; x=7/7 ; x=1 |
base_conversion | base_conversion:decomposition | n=237,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11101101 |
list_summation | list_summation:left-to-right | 8, 7, 6, 6 | 8+7=15 ; 15+6=21 ; 21+6=27 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 7, 5, 6 | [2,7,8,5,6] ; [2,7,5,8,6] ; [2,7,5,6,8] ; [2,5,7,6,8] ; [2,5,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 763+520 | round:770+520=1290 ; adjust:1290-7=1283 ; sum=1283 |
list_summation | list_summation:left-to-right | 6, 6, 4, 0 | 6+6=12 ; 12+4=16 ; 16+0=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=0 | 6x+12=0 ; x+2=0 ; x=0-2 ; x=-2 |
list_summation | list_summation:pairwise | 1, 2, 3, 6 | 1+2=3 ; 3+6=9 ; 3+9=12 |
base_conversion | base_conversion:repeated-division | n=25,base=16 | DIV:25/16=1,r:9 ; DIV:1/16=0,r:1 ; OUT:19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
list_summation | list_summation:left-to-right | 3, 1, 1, 6 | 3+1=4 ; 4+1=5 ; 5+6=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,4) | D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+36=54 | 6x+36=54 ; x+6=9 ; x=9-6 ; x=3 |
list_summation | list_summation:left-to-right | 3, 0, 8, 4 | 3+0=3 ; 3+8=11 ; 11+4=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,3) | D:(2,2) ; R:(2,3) |
base_conversion | base_conversion:decomposition | n=89,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1011001 |
list_summation | list_summation:pairwise | 2, 9, 4, 5 | 2+9=11 ; 4+5=9 ; 11+9=20 |
base_conversion | base_conversion:decomposition | n=112,base=16 | TERM:7*16^1=112 ; TERM:0*16^0=0 ; OUT:70 |
multidigit_addition | multidigit_addition:rounding-decomposition | 759+879 | round:760+879=1639 ; adjust:1639-1=1638 ; sum=1638 |
multidigit_addition | multidigit_addition:right-to-left-carry | 402+525 | d2:2+5+0=7→w7,c0 ; d1:0+2+0=2→w2,c0 ; d0:4+5+0=9→w9,c0 ; sum=927 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-56 | 7x-42=-56 ; 7x=-14 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 694+717 | d2:4+7+0=11→w1,c1 ; d1:9+1+1=11→w1,c1 ; d0:6+7+1=14→w4,c1 ; sum=1411 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 4, 0, 3 | [5,9,4,0,3] ; [4,5,9,0,3] ; [0,4,5,9,3] ; [0,3,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=9 | 9x+9=9 ; x+1=1 ; x=1-1 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=72 | 9x+0=72 ; 9x=72 ; x=8 |
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 |
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