task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:selection-sort | 3, 4, 1, 0, 5 | [0,4,1,3,5] ; [0,1,4,3,5] ; [0,1,3,4,5] ; [0,1,3,4,5] |
list_summation | list_summation:right-to-left | 3, 5, 2, 4 | 2+4=6 ; 5+6=11 ; 3+11=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 660+897 | round:660+897=1557 ; adjust:1557-0=1557 ; sum=1557 |
list_summation | list_summation:right-to-left | 6, 5, 1, 1 | 1+1=2 ; 5+2=7 ; 6+7=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 629+533 | p100:600+500=1100 ; p10:20+30=50 ; p1:9+3=12 ; sum=1100+50+12=1162 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=42 | 7x+0=42 ; 7x=42 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,2) | R:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) |
list_summation | list_summation:left-to-right | 1, 2, 0, 7 | 1+2=3 ; 3+0=3 ; 3+7=10 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 0, 8, 4 | [0,5,7,8,4] ; [0,4,7,8,5] ; [0,4,5,8,7] ; [0,4,5,7,8] |
list_summation | list_summation:right-to-left | 6, 1, 6, 0 | 6+0=6 ; 1+6=7 ; 6+7=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=0 | 4x+8=0 ; x+2=0 ; x=0-2 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(1,5) | D:(1,3) ; R:(1,4) ; R:(1,5) |
list_summation | list_summation:left-to-right | 3, 9, 7, 7 | 3+9=12 ; 12+7=19 ; 19+7=26 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=24 | 8x-32=24 ; x+-4=3 ; x=3--4 ; x=7 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 5, 3, 6 | [3,8,5,7,6] ; [3,5,8,7,6] ; [3,5,6,7,8] ; [3,5,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 533+266 | p100:500+200=700 ; p10:30+60=90 ; p1:3+6=9 ; sum=700+90+9=799 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=-36 | 6x-42=-36 ; x=(-36--42)/6 ; x=6/6 ; x=1 |
base_conversion | base_conversion:decomposition | n=178,base=8 | TERM:2*8^2=128 ; TERM:6*8^1=48 ; TERM:2*8^0=2 ; OUT:262 |
multidigit_addition | multidigit_addition:right-to-left-carry | 700+826 | d2:0+6+0=6→w6,c0 ; d1:0+2+0=2→w2,c0 ; d0:7+8+0=15→w5,c1 ; sum=1526 |
multidigit_addition | multidigit_addition:right-to-left-carry | 222+875 | d2:2+5+0=7→w7,c0 ; d1:2+7+0=9→w9,c0 ; d0:2+8+0=10→w0,c1 ; sum=1097 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(3,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 9, 5, 2 | [2,7,9,5,3] ; [2,3,9,5,7] ; [2,3,5,9,7] ; [2,3,5,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 8, 9, 3, 2 | [0,8,9,3,2] ; [0,2,9,3,8] ; [0,2,3,9,8] ; [0,2,3,8,9] |
list_summation | list_summation:pairwise | 6, 7, 1, 9 | 6+7=13 ; 1+9=10 ; 13+10=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 857+354 | d2:7+4+0=11→w1,c1 ; d1:5+5+1=11→w1,c1 ; d0:8+3+1=12→w2,c1 ; sum=1211 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=-40 | 5x-10=-40 ; x+-2=-8 ; x=-8--2 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+7=70 | 7x+7=70 ; x+1=10 ; x=10-1 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=-6 | 3x+0=-6 ; 3x=-6 ; x=-2 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 9, 8, 5 | [2,3,9,8,5] ; [2,3,8,9,5] ; [2,3,5,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=3 | 3x-9=3 ; x+-3=1 ; x=1--3 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 917+557 | round:920+557=1477 ; adjust:1477-3=1474 ; sum=1474 |
base_conversion | base_conversion:via-binary | n=161,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:4 ; CHUNK:2:1 ; OUT:241 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=-18 | 9x+0=-18 ; x=(-18-0)/9 ; x=-18/9 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 9, 0, 5, 7 | 9+0=9 ; 9+5=14 ; 14+7=21 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 9, 3, 7, 2 | [9,5,3,7,2] ; [9,7,3,5,2] ; [2,7,3,5,9] ; [7,2,3,5,9] ; [7,5,3,2,9] ; [2,5,3,7,9] ; [5,2,3,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 2, 5, 1 | [0,4,2,5,1] ; [0,1,2,5,4] ; [0,1,2,5,4] ; [0,1,2,4,5] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 6, 4, 9 | [0,7,6,4,9] ; [0,7,4,6,9] ; [0,4,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 2, 1, 0 | [6,7,1,2,0] ; [1,2,6,7,0] ; [0,1,2,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+28=32 | 4x+28=32 ; 4x=4 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=8 | 8x-48=8 ; x+-6=1 ; x=1--6 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-4=2 | 2x-4=2 ; 2x=6 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+48=88 | 8x+48=88 ; 8x=40 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=15 | 5x-15=15 ; x=(15--15)/5 ; x=30/5 ; x=6 |
base_conversion | base_conversion:decomposition | n=208,base=16 | TERM:13*16^1=208 ; TERM:0*16^0=0 ; OUT:D0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+36=63 | 9x+36=63 ; 9x=27 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=12 | 2x+18=12 ; x+9=6 ; x=6-9 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,4) | R:(0,4) ; D:(1,4) |
list_summation | list_summation:left-to-right | 3, 4, 2, 0 | 3+4=7 ; 7+2=9 ; 9+0=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 290+908 | round:290+908=1198 ; adjust:1198-0=1198 ; sum=1198 |
base_conversion | base_conversion:via-binary | n=199,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:7:1 ; OUT:11000111 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 9, 1, 3, 7 | [0,1,3,9,7] ; [0,1,3,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 0, 4, 3 | [6,2,0,4,3] ; [6,4,0,2,3] ; [3,4,0,2,6] ; [4,3,0,2,6] ; [2,3,0,4,6] ; [3,2,0,4,6] ; [0,2,3,4,6] ; [2,0,3,4,6] ; [0,2,3,4,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 337+615 | round:340+615=955 ; adjust:955-3=952 ; sum=952 |
list_summation | list_summation:pairwise | 2, 3, 7, 0 | 2+3=5 ; 7+0=7 ; 5+7=12 |
base_conversion | base_conversion:via-binary | n=141,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:13 ; OUT:8D |
list_summation | list_summation:pairwise | 7, 9, 4, 4 | 7+9=16 ; 4+4=8 ; 16+8=24 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 5, 6, 0 | [3,7,5,6,0] ; [3,5,6,7,0] ; [0,3,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 298+237 | p100:200+200=400 ; p10:90+30=120 ; p1:8+7=15 ; sum=400+120+15=535 |
list_summation | list_summation:left-to-right | 1, 8, 9, 5 | 1+8=9 ; 9+9=18 ; 18+5=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 1, 2, 8 | [4,7,1,2,8] ; [4,1,7,2,8] ; [4,1,2,7,8] ; [1,4,2,7,8] ; [1,2,4,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 805+701 | p100:800+700=1500 ; p10:0+0=0 ; p1:5+1=6 ; sum=1500+0+6=1506 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 3, 6, 7, 2 | [1,3,6,7,2] ; [1,3,6,7,2] ; [1,3,6,7,2] ; [1,2,3,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,5) | D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:right-to-left | 9, 8, 6, 3 | 6+3=9 ; 8+9=17 ; 9+17=26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 253+233 | d2:3+3+0=6→w6,c0 ; d1:5+3+0=8→w8,c0 ; d0:2+2+0=4→w4,c0 ; sum=486 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=0 | 9x+27=0 ; x=(0-27)/9 ; x=-27/9 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-35=-28 | 7x-35=-28 ; x+-5=-4 ; x=-4--5 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 164+575 | round:170+575=745 ; adjust:745-6=739 ; sum=739 |
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:subtract-then-divide | 5x-20=-20 | 5x-20=-20 ; 5x=0 ; x=0 |
base_conversion | base_conversion:repeated-division | n=143,base=4 | DIV:143/4=35,r:3 ; DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2033 |
multidigit_addition | multidigit_addition:right-to-left-carry | 532+193 | d2:2+3+0=5→w5,c0 ; d1:3+9+0=12→w2,c1 ; d0:5+1+1=7→w7,c0 ; sum=725 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,3) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 860+825 | p100:800+800=1600 ; p10:60+20=80 ; p1:0+5=5 ; sum=1600+80+5=1685 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 449+882 | d2:9+2+0=11→w1,c1 ; d1:4+8+1=13→w3,c1 ; d0:4+8+1=13→w3,c1 ; sum=1331 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-40=-8 | 8x-40=-8 ; 8x=32 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+36=40 | 4x+36=40 ; x+9=10 ; x=10-9 ; x=1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=204,base=4 | DIV:204/4=51,r:0 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3030 |
multidigit_addition | multidigit_addition:right-to-left-carry | 217+481 | d2:7+1+0=8→w8,c0 ; d1:1+8+0=9→w9,c0 ; d0:2+4+0=6→w6,c0 ; sum=698 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=-128 | 8x-56=-128 ; x=(-128--56)/8 ; x=-72/8 ; x=-9 |
list_summation | list_summation:pairwise | 1, 8, 1, 8 | 1+8=9 ; 1+8=9 ; 9+9=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-24=30 | 6x-24=30 ; x=(30--24)/6 ; x=54/6 ; x=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,1) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=34 | 2x+16=34 ; x=(34-16)/2 ; x=18/2 ; x=9 |
list_summation | list_summation:left-to-right | 4, 6, 4, 3 | 4+6=10 ; 10+4=14 ; 14+3=17 |
list_summation | list_summation:pairwise | 1, 9, 9, 7 | 1+9=10 ; 9+7=16 ; 10+16=26 |
list_summation | list_summation:right-to-left | 2, 9, 7, 1 | 7+1=8 ; 9+8=17 ; 2+17=19 |
base_conversion | base_conversion:repeated-division | n=166,base=4 | DIV:166/4=41,r:2 ; DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2212 |
multidigit_addition | multidigit_addition:rounding-decomposition | 295+739 | round:300+739=1039 ; adjust:1039-5=1034 ; sum=1034 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 649+633 | round:650+633=1283 ; adjust:1283-1=1282 ; sum=1282 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.