task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=90 | 9x+27=90 ; x=(90-27)/9 ; x=63/9 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=20 | 2x+12=20 ; x+6=10 ; x=10-6 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=15 | 5x-5=15 ; x+-1=3 ; x=3--1 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+63=126 | 7x+63=126 ; x=(126-63)/7 ; x=63/7 ; x=9 |
list_summation | list_summation:right-to-left | 7, 7, 9, 5 | 9+5=14 ; 7+14=21 ; 7+21=28 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=40 | 4x+32=40 ; x=(40-32)/4 ; x=8/4 ; x=2 |
base_conversion | base_conversion:repeated-division | n=120,base=2 | DIV:120/2=60,r:0 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111000 |
multidigit_addition | multidigit_addition:left-to-right-partials | 308+564 | p100:300+500=800 ; p10:0+60=60 ; p1:8+4=12 ; sum=800+60+12=872 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,5) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 703+999 | d2:3+9+0=12→w2,c1 ; d1:0+9+1=10→w0,c1 ; d0:7+9+1=17→w7,c1 ; sum=1702 |
base_conversion | base_conversion:repeated-division | n=40,base=16 | DIV:40/16=2,r:8 ; DIV:2/16=0,r:2 ; OUT:28 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=49 | 7x+7=49 ; x=(49-7)/7 ; x=42/7 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=70 | 5x+30=70 ; x+6=14 ; x=14-6 ; x=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=-36 | 6x+6=-36 ; x+1=-6 ; x=-6-1 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 441+687 | round:450+687=1137 ; adjust:1137-9=1128 ; sum=1128 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=20 | 4x-4=20 ; x+-1=5 ; x=5--1 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-8=0 | 8x-8=0 ; x+-1=0 ; x=0--1 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+14=24 | 2x+14=24 ; x=(24-14)/2 ; x=10/2 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 1, 4, 0 | [7,4,1,3,0] ; [0,4,1,3,7] ; [4,0,1,3,7] ; [4,3,1,0,7] ; [0,3,1,4,7] ; [3,0,1,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 5, 1, 3, 8 | [0,5,1,3,8] ; [0,1,5,3,8] ; [0,1,3,5,8] ; [0,1,3,5,8] |
base_conversion | base_conversion:decomposition | n=20,base=8 | TERM:2*8^1=16 ; TERM:4*8^0=4 ; OUT:24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 5, 7, 2, 8 | [5,6,7,2,8] ; [5,6,2,7,8] ; [5,2,6,7,8] ; [2,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+32=64 | 4x+32=64 ; 4x=32 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 323+431 | round:330+431=761 ; adjust:761-7=754 ; sum=754 |
list_summation | list_summation:left-to-right | 3, 2, 5, 9 | 3+2=5 ; 5+5=10 ; 10+9=19 |
list_summation | list_summation:left-to-right | 1, 7, 6, 7 | 1+7=8 ; 8+6=14 ; 14+7=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 1, 7, 3 | [5,6,1,7,3] ; [1,5,6,7,3] ; [1,3,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,4) | D:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 8, 5, 4 | [2,7,8,5,4] ; [2,7,5,8,4] ; [2,5,7,8,4] ; [2,4,5,7,8] |
base_conversion | base_conversion:via-binary | n=118,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:166 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:right-to-left | 2, 1, 0, 7 | 0+7=7 ; 1+7=8 ; 2+8=10 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=0 | 9x+27=0 ; 9x=-27 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 8, 7, 7, 3 | 7+3=10 ; 7+10=17 ; 8+17=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 931+979 | d2:1+9+0=10→w0,c1 ; d1:3+7+1=11→w1,c1 ; d0:9+9+1=19→w9,c1 ; sum=1910 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 1, 2, 7 | [4,6,1,2,7] ; [4,1,6,2,7] ; [4,1,2,6,7] ; [1,4,2,6,7] ; [1,2,4,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 390+870 | d2:0+0+0=0→w0,c0 ; d1:9+7+0=16→w6,c1 ; d0:3+8+1=12→w2,c1 ; sum=1260 |
base_conversion | base_conversion:via-binary | n=62,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:14 ; OUT:3E |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 2, 3, 1 | [4,9,2,3,1] ; [4,2,9,3,1] ; [4,2,3,9,1] ; [4,2,3,1,9] ; [2,4,3,1,9] ; [2,3,4,1,9] ; [2,3,1,4,9] ; [2,1,3,4,9] ; [1,2,3,4,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 715+962 | d2:5+2+0=7→w7,c0 ; d1:1+6+0=7→w7,c0 ; d0:7+9+0=16→w6,c1 ; sum=1677 |
base_conversion | base_conversion:via-binary | n=168,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:8 ; OUT:A8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,4) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=250,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:3322 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 9, 8, 4 | [1,3,8,9,4] ; [1,3,4,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 3, 9, 8 | [2,5,3,9,8] ; [2,3,5,9,8] ; [2,3,5,8,9] |
list_summation | list_summation:pairwise | 7, 2, 6, 9 | 7+2=9 ; 6+9=15 ; 9+15=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=-21 | 7x+0=-21 ; 7x=-21 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=10 | 2x+2=10 ; 2x=8 ; x=4 |
base_conversion | base_conversion:via-binary | n=116,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:4 ; OUT:164 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 3, 8, 5, 2 | [1,5,8,3,2] ; [8,5,1,3,2] ; [2,5,1,3,8] ; [5,2,1,3,8] ; [5,3,1,2,8] ; [2,3,1,5,8] ; [3,2,1,5,8] ; [1,2,3,5,8] ; [2,1,3,5,8] ; [1,2,3,5,8] |
list_summation | list_summation:right-to-left | 4, 3, 8, 4 | 8+4=12 ; 3+12=15 ; 4+15=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 7, 4, 2 | [1,6,7,4,2] ; [1,6,7,4,2] ; [1,4,6,7,2] ; [1,2,4,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 928+375 | round:930+375=1305 ; adjust:1305-2=1303 ; sum=1303 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 8, 9, 4, 2 | [5,8,9,4,2] ; [5,8,9,4,2] ; [4,5,8,9,2] ; [2,4,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 157+217 | p100:100+200=300 ; p10:50+10=60 ; p1:7+7=14 ; sum=300+60+14=374 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 9, 3, 5, 8 | [7,3,9,5,8] ; [7,3,5,9,8] ; [7,3,5,8,9] ; [3,7,5,8,9] ; [3,5,7,8,9] |
base_conversion | base_conversion:via-binary | n=19,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:3 ; OUT:13 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 6, 8, 3 | [2,4,6,8,3] ; [2,3,6,8,4] ; [2,3,4,8,6] ; [2,3,4,6,8] |
list_summation | list_summation:pairwise | 6, 8, 9, 9 | 6+8=14 ; 9+9=18 ; 14+18=32 |
list_summation | list_summation:right-to-left | 4, 9, 0, 8 | 0+8=8 ; 9+8=17 ; 4+17=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 421+239 | round:430+239=669 ; adjust:669-9=660 ; sum=660 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 3, 4, 2, 8 | [2,3,4,6,8] ; [2,3,4,6,8] ; [2,3,4,6,8] ; [2,3,4,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-8 | 2x-16=-8 ; x+-8=-4 ; x=-4--8 ; x=4 |
list_summation | list_summation:pairwise | 1, 9, 2, 4 | 1+9=10 ; 2+4=6 ; 10+6=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=28 | 7x+49=28 ; x+7=4 ; x=4-7 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,5) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 3, 1, 0, 9 | [3,6,1,0,9] ; [3,6,0,1,9] ; [0,1,3,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 8, 2, 1, 7 | [3,8,2,1,7] ; [2,3,8,1,7] ; [1,2,3,8,7] ; [1,2,3,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=45 | 3x+24=45 ; x+8=15 ; x=15-8 ; x=7 |
list_summation | list_summation:right-to-left | 9, 0, 8, 8 | 8+8=16 ; 0+16=16 ; 9+16=25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 755+556 | round:760+556=1316 ; adjust:1316-5=1311 ; sum=1311 |
base_conversion | base_conversion:repeated-division | n=62,base=4 | DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:332 |
list_summation | list_summation:pairwise | 4, 7, 2, 0 | 4+7=11 ; 2+0=2 ; 11+2=13 |
base_conversion | base_conversion:decomposition | n=77,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1031 |
list_summation | list_summation:right-to-left | 3, 1, 4, 3 | 4+3=7 ; 1+7=8 ; 3+8=11 |
list_summation | list_summation:pairwise | 4, 1, 7, 3 | 4+1=5 ; 7+3=10 ; 5+10=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 7, 8, 5 | [3,9,7,8,5] ; [3,7,9,8,5] ; [3,7,8,9,5] ; [3,7,8,5,9] ; [3,7,5,8,9] ; [3,5,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 8, 0, 5 | [7,5,8,0,2] ; [8,5,7,0,2] ; [2,5,7,0,8] ; [7,5,2,0,8] ; [0,5,2,7,8] ; [5,0,2,7,8] ; [2,0,5,7,8] ; [0,2,5,7,8] |
base_conversion | base_conversion:via-binary | n=202,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:312 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=84 | 6x+48=84 ; x+8=14 ; x=14-8 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=-24 | 2x-12=-24 ; 2x=-12 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 115+884 | p100:100+800=900 ; p10:10+80=90 ; p1:5+4=9 ; sum=900+90+9=999 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-48 | 4x-32=-48 ; x=(-48--32)/4 ; x=-16/4 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-135 | 9x-81=-135 ; x=(-135--81)/9 ; x=-54/9 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=84 | 7x+63=84 ; x+9=12 ; x=12-9 ; x=3 |
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) |
base_conversion | base_conversion:repeated-division | n=93,base=4 | DIV:93/4=23,r:1 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1131 |
base_conversion | base_conversion:via-binary | n=46,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:14 ; OUT:2E |
base_conversion | base_conversion:repeated-division | n=213,base=4 | DIV:213/4=53,r:1 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3111 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 5, 1, 7 | [0,8,5,1,7] ; [0,5,8,1,7] ; [0,1,5,8,7] ; [0,1,5,7,8] |
base_conversion | base_conversion:decomposition | n=223,base=16 | TERM:13*16^1=208 ; TERM:15*16^0=15 ; OUT:DF |
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