task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 468+993 | p100:400+900=1300 ; p10:60+90=150 ; p1:8+3=11 ; sum=1300+150+11=1461 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 3, 7, 9 | [0,2,3,7,9] |
base_conversion | base_conversion:repeated-division | n=251,base=8 | DIV:251/8=31,r:3 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:373 |
base_conversion | base_conversion:repeated-division | n=65,base=2 | DIV:65/2=32,r:1 ; 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:1000001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+18=36 | 3x+18=36 ; x+6=12 ; x=12-6 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=-8 | 4x+24=-8 ; x=(-8-24)/4 ; x=-32/4 ; x=-8 |
list_summation | list_summation:right-to-left | 1, 6, 7, 3 | 7+3=10 ; 6+10=16 ; 1+16=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+8=8 | 4x+8=8 ; x=(8-8)/4 ; x=0/4 ; x=0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,3) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 965+641 | d2:5+1+0=6→w6,c0 ; d1:6+4+0=10→w0,c1 ; d0:9+6+1=16→w6,c1 ; sum=1606 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 9, 3, 8, 1 | [7,3,9,8,1] ; [7,3,8,9,1] ; [7,3,8,1,9] ; [3,7,8,1,9] ; [3,7,1,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9] |
list_summation | list_summation:pairwise | 1, 0, 3, 6 | 1+0=1 ; 3+6=9 ; 1+9=10 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-15=9 | 3x-15=9 ; x=(9--15)/3 ; x=24/3 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 662+347 | round:670+347=1017 ; adjust:1017-8=1009 ; sum=1009 |
list_summation | list_summation:left-to-right | 8, 2, 2, 2 | 8+2=10 ; 10+2=12 ; 12+2=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=-18 | 2x-8=-18 ; x=(-18--8)/2 ; x=-10/2 ; x=-5 |
base_conversion | base_conversion:via-binary | n=200,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:8 ; OUT:C8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 9, 3, 0 | [6,7,3,9,0] ; [6,7,3,0,9] ; [6,3,7,0,9] ; [6,3,0,7,9] ; [3,6,0,7,9] ; [3,0,6,7,9] ; [0,3,6,7,9] |
base_conversion | base_conversion:repeated-division | n=56,base=8 | DIV:56/8=7,r:0 ; DIV:7/8=0,r:7 ; OUT:70 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-40 | 4x-32=-40 ; 4x=-8 ; x=-2 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 4, 5, 3 | [2,5,4,0,3] ; [5,2,4,0,3] ; [5,3,4,0,2] ; [2,3,4,0,5] ; [4,3,2,0,5] ; [0,3,2,4,5] ; [3,0,2,4,5] ; [2,0,3,4,5] ; [0,2,3,4,5] |
list_summation | list_summation:pairwise | 3, 0, 8, 8 | 3+0=3 ; 8+8=16 ; 3+16=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+21=30 | 3x+21=30 ; x=(30-21)/3 ; x=9/3 ; x=3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 2, 8, 5 | [0,4,2,8,5] ; [0,2,4,8,5] ; [0,2,4,8,5] ; [0,2,4,5,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:via-binary | n=249,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3321 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 4, 5, 2 | [3,4,6,5,2] ; [3,4,5,6,2] ; [3,4,5,2,6] ; [3,4,2,5,6] ; [3,2,4,5,6] ; [2,3,4,5,6] |
base_conversion | base_conversion:decomposition | n=166,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:2212 |
base_conversion | base_conversion:repeated-division | n=13,base=8 | DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 796+276 | round:800+276=1076 ; adjust:1076-4=1072 ; sum=1072 |
list_summation | list_summation:right-to-left | 4, 4, 5, 6 | 5+6=11 ; 4+11=15 ; 4+15=19 |
list_summation | list_summation:pairwise | 9, 8, 5, 1 | 9+8=17 ; 5+1=6 ; 17+6=23 |
base_conversion | base_conversion:decomposition | n=255,base=8 | TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:377 |
list_summation | list_summation:pairwise | 1, 1, 0, 2 | 1+1=2 ; 0+2=2 ; 2+2=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=8 | 2x+16=8 ; 2x=-8 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=-60 | 6x-6=-60 ; x+-1=-10 ; x=-10--1 ; x=-9 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 7, 5, 3, 4 | [3,7,5,6,4] ; [3,4,5,6,7] ; [3,4,5,6,7] ; [3,4,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+15=30 | 3x+15=30 ; 3x=15 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+14=-49 | 7x+14=-49 ; x=(-49-14)/7 ; x=-63/7 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 603+533 | d2:3+3+0=6→w6,c0 ; d1:0+3+0=3→w3,c0 ; d0:6+5+0=11→w1,c1 ; sum=1136 |
multidigit_addition | multidigit_addition:rounding-decomposition | 911+241 | round:920+241=1161 ; adjust:1161-9=1152 ; sum=1152 |
base_conversion | base_conversion:via-binary | n=198,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11000110 |
base_conversion | base_conversion:decomposition | n=40,base=16 | TERM:2*16^1=32 ; TERM:8*16^0=8 ; OUT:28 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 0, 7, 6, 5 | [0,4,7,6,5] ; [0,4,6,7,5] ; [0,4,6,5,7] ; [0,4,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-20 | 2x-18=-20 ; 2x=-2 ; x=-1 |
list_summation | list_summation:pairwise | 4, 7, 7, 1 | 4+7=11 ; 7+1=8 ; 11+8=19 |
list_summation | list_summation:pairwise | 9, 8, 1, 8 | 9+8=17 ; 1+8=9 ; 17+9=26 |
base_conversion | base_conversion:repeated-division | n=216,base=2 | DIV:216/2=108,r:0 ; DIV:108/2=54,r:0 ; 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:11011000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=48 | 8x+64=48 ; 8x=-16 ; x=-2 |
list_summation | list_summation:left-to-right | 0, 7, 9, 5 | 0+7=7 ; 7+9=16 ; 16+5=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 6, 4, 9, 8 | 6+4=10 ; 10+9=19 ; 19+8=27 |
list_summation | list_summation:pairwise | 5, 5, 6, 8 | 5+5=10 ; 6+8=14 ; 10+14=24 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 8, 1, 9, 7 | [2,8,1,9,7] ; [1,2,8,9,7] ; [1,2,8,9,7] ; [1,2,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=14 | 2x-4=14 ; x+-2=7 ; x=7--2 ; x=9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 8, 3, 6 | [0,7,3,8,6] ; [0,7,3,6,8] ; [0,3,7,6,8] ; [0,3,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 1, 6, 7 | [0,4,1,6,7] ; [0,1,4,6,7] ; [0,1,4,6,7] ; [0,1,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 673+398 | p100:600+300=900 ; p10:70+90=160 ; p1:3+8=11 ; sum=900+160+11=1071 |
list_summation | list_summation:left-to-right | 4, 6, 0, 4 | 4+6=10 ; 10+0=10 ; 10+4=14 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 3, 8, 4 | [0,3,7,8,4] ; [0,3,7,4,8] ; [0,3,4,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-30 | 3x-27=-30 ; 3x=-3 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
list_summation | list_summation:right-to-left | 4, 2, 9, 0 | 9+0=9 ; 2+9=11 ; 4+11=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+0=-8 | 8x+0=-8 ; 8x=-8 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 376+901 | round:380+901=1281 ; adjust:1281-4=1277 ; sum=1277 |
multidigit_addition | multidigit_addition:left-to-right-partials | 842+213 | p100:800+200=1000 ; p10:40+10=50 ; p1:2+3=5 ; sum=1000+50+5=1055 |
base_conversion | base_conversion:via-binary | n=190,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10111110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 102+730 | p100:100+700=800 ; p10:0+30=30 ; p1:2+0=2 ; sum=800+30+2=832 |
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) |
base_conversion | base_conversion:decomposition | n=141,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:2031 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 5, 4, 1, 3 | 1+3=4 ; 4+4=8 ; 5+8=13 |
base_conversion | base_conversion:decomposition | n=232,base=16 | TERM:14*16^1=224 ; TERM:8*16^0=8 ; OUT:E8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 682+721 | round:690+721=1411 ; adjust:1411-8=1403 ; sum=1403 |
list_summation | list_summation:pairwise | 7, 3, 8, 1 | 7+3=10 ; 8+1=9 ; 10+9=19 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 7, 2, 1, 5 | [1,7,2,9,5] ; [1,2,7,9,5] ; [1,2,5,9,7] ; [1,2,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=-16 | 2x-8=-16 ; x=(-16--8)/2 ; x=-8/2 ; x=-4 |
base_conversion | base_conversion:decomposition | n=11,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1011 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 7, 1, 9 | [0,4,1,7,9] ; [0,1,4,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+16=20 | 4x+16=20 ; x+4=5 ; x=5-4 ; x=1 |
list_summation | list_summation:right-to-left | 2, 1, 3, 1 | 3+1=4 ; 1+4=5 ; 2+5=7 |
list_summation | list_summation:left-to-right | 0, 1, 5, 8 | 0+1=1 ; 1+5=6 ; 6+8=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=2 | 2x+8=2 ; x=(2-8)/2 ; x=-6/2 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=17,base=2 | 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:10001 |
base_conversion | base_conversion:via-binary | n=60,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:12 ; OUT:3C |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=-8 | 2x+6=-8 ; x=(-8-6)/2 ; x=-14/2 ; x=-7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:decomposition | n=11,base=4 | TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:23 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 5, 0, 1 | [3,9,0,5,1] ; [0,3,5,9,1] ; [0,1,3,5,9] |
list_summation | list_summation:right-to-left | 7, 6, 7, 8 | 7+8=15 ; 6+15=21 ; 7+21=28 |
base_conversion | base_conversion:repeated-division | n=164,base=4 | DIV:164/4=41,r:0 ; DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2210 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=-60 | 6x-18=-60 ; x=(-60--18)/6 ; x=-42/6 ; x=-7 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 4, 5, 8 | [9,8,4,5,3] ; [3,8,4,5,9] ; [8,3,4,5,9] ; [8,5,4,3,9] ; [3,5,4,8,9] ; [5,3,4,8,9] ; [4,3,5,8,9] ; [3,4,5,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 228+733 | d2:8+3+0=11→w1,c1 ; d1:2+3+1=6→w6,c0 ; d0:2+7+0=9→w9,c0 ; sum=961 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=-30 | 3x-9=-30 ; x+-3=-10 ; x=-10--3 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 5, 7, 4, 1 | [0,5,7,4,1] ; [0,5,7,4,1] ; [0,4,5,7,1] ; [0,1,4,5,7] |
list_summation | list_summation:right-to-left | 8, 6, 3, 7 | 3+7=10 ; 6+10=16 ; 8+16=24 |
list_summation | list_summation:left-to-right | 8, 1, 1, 6 | 8+1=9 ; 9+1=10 ; 10+6=16 |
list_summation | list_summation:right-to-left | 5, 8, 7, 1 | 7+1=8 ; 8+8=16 ; 5+16=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 367+999 | round:370+999=1369 ; adjust:1369-3=1366 ; sum=1366 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.