task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=216,base=16 | TERM:13*16^1=208 ; TERM:8*16^0=8 ; OUT:D8 |
list_summation | list_summation:left-to-right | 6, 6, 7, 9 | 6+6=12 ; 12+7=19 ; 19+9=28 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 5, 9, 2 | [1,3,5,9,2] ; [1,3,5,9,2] ; [1,3,5,9,2] ; [1,2,3,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=44 | 4x+8=44 ; 4x=36 ; x=9 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 0, 5, 6 | [0,4,2,5,6] ; [0,2,4,5,6] ; [0,2,4,5,6] ; [0,2,4,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 3, 2, 9 | [0,4,3,2,9] ; [0,2,3,4,9] ; [0,2,3,4,9] ; [0,2,3,4,9] |
base_conversion | base_conversion:repeated-division | n=19,base=4 | DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:103 |
multidigit_addition | multidigit_addition:right-to-left-carry | 691+433 | d2:1+3+0=4→w4,c0 ; d1:9+3+0=12→w2,c1 ; d0:6+4+1=11→w1,c1 ; sum=1124 |
multidigit_addition | multidigit_addition:rounding-decomposition | 346+640 | round:350+640=990 ; adjust:990-4=986 ; sum=986 |
base_conversion | base_conversion:via-binary | n=84,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1010100 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 5, 0, 4 | [6,8,5,0,4] ; [6,8,0,5,4] ; [0,5,6,8,4] ; [0,4,5,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+16=-12 | 4x+16=-12 ; x+4=-3 ; x=-3-4 ; x=-7 |
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 |
list_summation | list_summation:left-to-right | 0, 3, 0, 4 | 0+3=3 ; 3+0=3 ; 3+4=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 200+815 | round:200+815=1015 ; adjust:1015-0=1015 ; sum=1015 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+72=135 | 9x+72=135 ; x=(135-72)/9 ; x=63/9 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 263+544 | p100:200+500=700 ; p10:60+40=100 ; p1:3+4=7 ; sum=700+100+7=807 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=72 | 6x+48=72 ; x=(72-48)/6 ; x=24/6 ; x=4 |
base_conversion | base_conversion:repeated-division | n=155,base=2 | DIV:155/2=77,r:1 ; DIV:77/2=38,r:1 ; DIV:38/2=19,r:0 ; 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:10011011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-36 | 6x-54=-36 ; x=(-36--54)/6 ; x=18/6 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-8=-20 | 4x-8=-20 ; x=(-20--8)/4 ; x=-12/4 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 9, 4, 5 | [2,7,9,4,5] ; [2,7,9,4,5] ; [2,4,7,9,5] ; [2,4,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 580+121 | d2:0+1+0=1→w1,c0 ; d1:8+2+0=10→w0,c1 ; d0:5+1+1=7→w7,c0 ; sum=701 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 2, 8, 5, 7 | [0,2,8,5,7] ; [0,2,8,5,7] ; [0,2,5,8,7] ; [0,2,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=-55 | 5x-15=-55 ; x=(-55--15)/5 ; x=-40/5 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=142,base=2 | DIV:142/2=71,r:0 ; DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; 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:10001110 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=20 | 2x+12=20 ; x+6=10 ; x=10-6 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 806+845 | d2:6+5+0=11→w1,c1 ; d1:0+4+1=5→w5,c0 ; d0:8+8+0=16→w6,c1 ; sum=1651 |
multidigit_addition | multidigit_addition:left-to-right-partials | 720+428 | p100:700+400=1100 ; p10:20+20=40 ; p1:0+8=8 ; sum=1100+40+8=1148 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-119 | 7x-56=-119 ; x+-8=-17 ; x=-17--8 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 115+145 | round:120+145=265 ; adjust:265-5=260 ; sum=260 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-12 | 6x-36=-12 ; 6x=24 ; x=4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 4, 1, 6 | [3,9,4,1,6] ; [3,4,9,1,6] ; [1,3,4,9,6] ; [1,3,4,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 1, 3, 7 | [2,1,9,3,7] ; [2,1,3,9,7] ; [2,1,3,7,9] ; [1,2,3,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 7, 1, 0 | [0,2,7,1,5] ; [0,1,7,2,5] ; [0,1,2,7,5] ; [0,1,2,5,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 6, 7, 9 | [5,8,6,7,9] ; [5,6,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 5, 4, 2, 7 | [1,5,4,2,7] ; [1,2,4,5,7] ; [1,2,4,5,7] ; [1,2,4,5,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 623+697 | d2:3+7+0=10→w0,c1 ; d1:2+9+1=12→w2,c1 ; d0:6+6+1=13→w3,c1 ; sum=1320 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,5) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 932+560 | round:940+560=1500 ; adjust:1500-8=1492 ; sum=1492 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 0, 6, 2 | [8,1,0,6,2] ; [8,6,0,1,2] ; [2,6,0,1,8] ; [6,2,0,1,8] ; [1,2,0,6,8] ; [2,1,0,6,8] ; [0,1,2,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 1, 8, 9, 9 | 1+8=9 ; 9+9=18 ; 18+9=27 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=-28 | 7x+35=-28 ; 7x=-63 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 566+247 | p100:500+200=700 ; p10:60+40=100 ; p1:6+7=13 ; sum=700+100+13=813 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 6, 3, 8, 8 | 6+3=9 ; 8+8=16 ; 9+16=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+36=9 | 9x+36=9 ; 9x=-27 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 2, 3, 7 | [1,5,2,3,7] ; [1,2,5,3,7] ; [1,2,3,5,7] ; [1,2,3,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 814+382 | p100:800+300=1100 ; p10:10+80=90 ; p1:4+2=6 ; sum=1100+90+6=1196 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 3, 1, 7 | [5,3,6,1,7] ; [5,3,1,6,7] ; [3,5,1,6,7] ; [3,1,5,6,7] ; [1,3,5,6,7] |
base_conversion | base_conversion:decomposition | n=127,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1333 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=20 | 5x+10=20 ; x=(20-10)/5 ; x=10/5 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 242+898 | p100:200+800=1000 ; p10:40+90=130 ; p1:2+8=10 ; sum=1000+130+10=1140 |
base_conversion | base_conversion:repeated-division | n=29,base=4 | DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:131 |
base_conversion | base_conversion:repeated-division | n=115,base=8 | DIV:115/8=14,r:3 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:163 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 7, 1, 0 | [4,9,7,1,0] ; [4,9,1,7,0] ; [1,4,7,9,0] ; [0,1,4,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-7 | 7x-49=-7 ; x=(-7--49)/7 ; x=42/7 ; x=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 7, 5, 0 | [4,9,7,5,0] ; [4,7,9,5,0] ; [4,7,5,9,0] ; [4,7,5,0,9] ; [4,5,7,0,9] ; [4,5,0,7,9] ; [4,0,5,7,9] ; [0,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=9,base=16 | TERM:9*16^0=9 ; OUT:9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 0, 8, 3 | [5,9,0,8,3] ; [0,5,9,8,3] ; [0,5,8,9,3] ; [0,3,5,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=45 | 9x+9=45 ; x+1=5 ; x=5-1 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-96 | 8x-48=-96 ; x+-6=-12 ; x=-12--6 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 836+667 | d2:6+7+0=13→w3,c1 ; d1:3+6+1=10→w0,c1 ; d0:8+6+1=15→w5,c1 ; sum=1503 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,3) | R:(0,3) ; D:(1,3) ; D:(2,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=30 | 5x+5=30 ; x=(30-5)/5 ; x=25/5 ; x=5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=40 | 8x+64=40 ; 8x=-24 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=64,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:0 ; OUT:40 |
list_summation | list_summation:left-to-right | 2, 8, 3, 5 | 2+8=10 ; 10+3=13 ; 13+5=18 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 7, 5, 4 | [3,9,7,5,4] ; [3,7,9,5,4] ; [3,5,7,9,4] ; [3,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=129,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:2001 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,4) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=179,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:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10110011 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=-14 | 2x+2=-14 ; 2x=-16 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=16,base=2 | 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:10000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-66 | 6x-48=-66 ; 6x=-18 ; x=-3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 5, 0, 8 | [1,9,5,0,8] ; [1,5,9,0,8] ; [1,5,0,9,8] ; [1,5,0,8,9] ; [1,0,5,8,9] ; [0,1,5,8,9] |
list_summation | list_summation:pairwise | 8, 7, 1, 4 | 8+7=15 ; 1+4=5 ; 15+5=20 |
base_conversion | base_conversion:decomposition | n=116,base=8 | TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:164 |
base_conversion | base_conversion:via-binary | n=133,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10000101 |
list_summation | list_summation:right-to-left | 1, 5, 4, 4 | 4+4=8 ; 5+8=13 ; 1+13=14 |
base_conversion | base_conversion:repeated-division | n=13,base=8 | DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:15 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 1, 8, 2, 7 | [1,9,8,2,7] ; [1,2,8,9,7] ; [1,2,7,9,8] ; [1,2,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 0, 7, 8 | [4,9,0,7,8] ; [0,4,7,9,8] ; [0,4,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 755+617 | p100:700+600=1300 ; p10:50+10=60 ; p1:5+7=12 ; sum=1300+60+12=1372 |
base_conversion | base_conversion:decomposition | n=245,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:5*8^0=5 ; OUT:365 |
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