task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=232,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:0 ; OUT:350 |
list_summation | list_summation:left-to-right | 6, 2, 7, 9 | 6+2=8 ; 8+7=15 ; 15+9=24 |
list_summation | list_summation:left-to-right | 4, 8, 8, 2 | 4+8=12 ; 12+8=20 ; 20+2=22 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 2, 3, 8 | [1,8,2,3,4] ; [8,1,2,3,4] ; [8,4,2,3,1] ; [1,4,2,3,8] ; [4,1,2,3,8] ; [4,3,2,1,8] ; [1,3,2,4,8] ; [3,1,2,4,8] ; [2,1,3,4,8] ; [1,2,3,4,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 297+421 | p100:200+400=600 ; p10:90+20=110 ; p1:7+1=8 ; sum=600+110+8=718 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-12=16 | 4x-12=16 ; x+-3=4 ; x=4--3 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=2 | 2x-4=2 ; x+-2=1 ; x=1--2 ; x=3 |
base_conversion | base_conversion:via-binary | n=10,base=4 | BINLEN:4 ; CHUNK:0:2 ; CHUNK:1:2 ; OUT:22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 195+168 | round:200+168=368 ; adjust:368-5=363 ; sum=363 |
list_summation | list_summation:pairwise | 4, 9, 1, 5 | 4+9=13 ; 1+5=6 ; 13+6=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 104+628 | p100:100+600=700 ; p10:0+20=20 ; p1:4+8=12 ; sum=700+20+12=732 |
multidigit_addition | multidigit_addition:left-to-right-partials | 968+709 | p100:900+700=1600 ; p10:60+0=60 ; p1:8+9=17 ; sum=1600+60+17=1677 |
multidigit_addition | multidigit_addition:rounding-decomposition | 553+759 | round:560+759=1319 ; adjust:1319-7=1312 ; sum=1312 |
list_summation | list_summation:left-to-right | 4, 8, 9, 6 | 4+8=12 ; 12+9=21 ; 21+6=27 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 1, 8, 3, 8 | 3+8=11 ; 8+11=19 ; 1+19=20 |
list_summation | list_summation:left-to-right | 9, 4, 6, 7 | 9+4=13 ; 13+6=19 ; 19+7=26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 130+559 | round:130+559=689 ; adjust:689-0=689 ; sum=689 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=0 | 8x-24=0 ; x+-3=0 ; x=0--3 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+36=48 | 6x+36=48 ; x=(48-36)/6 ; x=12/6 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 4, 1, 2, 6 | 4+1=5 ; 2+6=8 ; 5+8=13 |
base_conversion | base_conversion:decomposition | n=15,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111 |
base_conversion | base_conversion:repeated-division | n=242,base=8 | DIV:242/8=30,r:2 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:362 |
multidigit_addition | multidigit_addition:right-to-left-carry | 518+318 | d2:8+8+0=16→w6,c1 ; d1:1+1+1=3→w3,c0 ; d0:5+3+0=8→w8,c0 ; sum=836 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-88 | 8x-48=-88 ; 8x=-40 ; x=-5 |
base_conversion | base_conversion:decomposition | n=152,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:230 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-24=-12 | 4x-24=-12 ; 4x=12 ; x=3 |
base_conversion | base_conversion:repeated-division | n=184,base=4 | DIV:184/4=46,r:0 ; DIV:46/4=11,r:2 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2320 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=-9 | 3x-3=-9 ; 3x=-6 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-75 | 5x-45=-75 ; x+-9=-15 ; x=-15--9 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=10,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:2 ; OUT:12 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 4, 1, 2 | [8,2,4,1,0] ; [0,2,4,1,8] ; [4,2,0,1,8] ; [1,2,0,4,8] ; [2,1,0,4,8] ; [0,1,2,4,8] ; [1,0,2,4,8] ; [0,1,2,4,8] |
list_summation | list_summation:pairwise | 5, 1, 5, 6 | 5+1=6 ; 5+6=11 ; 6+11=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 5, 4, 2, 7 | [1,7,4,2,5] ; [7,1,4,2,5] ; [7,5,4,2,1] ; [1,5,4,2,7] ; [5,1,4,2,7] ; [5,2,4,1,7] ; [1,2,4,5,7] ; [4,2,1,5,7] ; [1,2,4,5,7] ; [2,1,4,5,7] ; [1,2,4,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 597+745 | p100:500+700=1200 ; p10:90+40=130 ; p1:7+5=12 ; sum=1200+130+12=1342 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-28 | 2x-18=-28 ; 2x=-10 ; x=-5 |
list_summation | list_summation:left-to-right | 8, 6, 5, 1 | 8+6=14 ; 14+5=19 ; 19+1=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,3) | R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) |
base_conversion | base_conversion:repeated-division | n=9,base=16 | DIV:9/16=0,r:9 ; OUT:9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=20,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:4 ; OUT:24 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 9, 6, 4 | [1,2,9,6,4] ; [1,2,9,6,4] ; [1,2,4,6,9] ; [1,2,4,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 2, 7, 6 | [1,8,2,7,6] ; [1,2,8,7,6] ; [1,2,6,7,8] ; [1,2,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 458+354 | p100:400+300=700 ; p10:50+50=100 ; p1:8+4=12 ; sum=700+100+12=812 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-42 | 6x-54=-42 ; x=(-42--54)/6 ; x=12/6 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 622+454 | d2:2+4+0=6→w6,c0 ; d1:2+5+0=7→w7,c0 ; d0:6+4+0=10→w0,c1 ; sum=1076 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 1, 9, 8 | [0,3,1,9,8] ; [0,1,3,9,8] ; [0,1,3,9,8] ; [0,1,3,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 669+697 | p100:600+600=1200 ; p10:60+90=150 ; p1:9+7=16 ; sum=1200+150+16=1366 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=123,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1111011 |
list_summation | list_summation:pairwise | 0, 0, 5, 4 | 0+0=0 ; 5+4=9 ; 0+9=9 |
list_summation | list_summation:pairwise | 1, 5, 5, 8 | 1+5=6 ; 5+8=13 ; 6+13=19 |
list_summation | list_summation:pairwise | 2, 2, 3, 5 | 2+2=4 ; 3+5=8 ; 4+8=12 |
base_conversion | base_conversion:decomposition | n=247,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:367 |
base_conversion | base_conversion:via-binary | n=188,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10111100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-90 | 6x-36=-90 ; 6x=-54 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 248+661 | d2:8+1+0=9→w9,c0 ; d1:4+6+0=10→w0,c1 ; d0:2+6+1=9→w9,c0 ; sum=909 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=36 | 3x+12=36 ; x=(36-12)/3 ; x=24/3 ; x=8 |
base_conversion | base_conversion:repeated-division | n=229,base=2 | DIV:229/2=114,r:1 ; DIV:114/2=57,r:0 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; 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:11100101 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,3) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:decomposition | n=96,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1100000 |
multidigit_addition | multidigit_addition:left-to-right-partials | 156+126 | p100:100+100=200 ; p10:50+20=70 ; p1:6+6=12 ; sum=200+70+12=282 |
list_summation | list_summation:pairwise | 1, 3, 9, 5 | 1+3=4 ; 9+5=14 ; 4+14=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 948+829 | p100:900+800=1700 ; p10:40+20=60 ; p1:8+9=17 ; sum=1700+60+17=1777 |
base_conversion | base_conversion:repeated-division | n=182,base=16 | DIV:182/16=11,r:6 ; DIV:11/16=0,r:11 ; OUT:B6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-25 | 5x-45=-25 ; x+-9=-5 ; x=-5--9 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:via-binary | n=159,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2133 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 4, 3, 2, 7 | [0,4,3,2,7] ; [0,2,3,4,7] ; [0,2,3,4,7] ; [0,2,3,4,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 6, 5, 8 | [4,7,6,5,8] ; [4,6,7,5,8] ; [4,6,5,7,8] ; [4,5,6,7,8] |
list_summation | list_summation:pairwise | 2, 8, 2, 7 | 2+8=10 ; 2+7=9 ; 10+9=19 |
base_conversion | base_conversion:repeated-division | n=200,base=8 | DIV:200/8=25,r:0 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:310 |
list_summation | list_summation:pairwise | 8, 1, 5, 8 | 8+1=9 ; 5+8=13 ; 9+13=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 3, 9, 2, 4 | [3,6,9,2,4] ; [3,6,2,9,4] ; [2,3,6,9,4] ; [2,3,4,6,9] |
list_summation | list_summation:left-to-right | 2, 3, 7, 8 | 2+3=5 ; 5+7=12 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:repeated-division | n=83,base=16 | DIV:83/16=5,r:3 ; DIV:5/16=0,r:5 ; OUT:53 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 7, 3, 5 | [2,6,3,7,5] ; [2,3,6,7,5] ; [2,3,5,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 2, 0, 9 | [1,8,0,2,9] ; [0,1,2,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 613+729 | p100:600+700=1300 ; p10:10+20=30 ; p1:3+9=12 ; sum=1300+30+12=1342 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 965+156 | d2:5+6+0=11→w1,c1 ; d1:6+5+1=12→w2,c1 ; d0:9+1+1=11→w1,c1 ; sum=1121 |
multidigit_addition | multidigit_addition:right-to-left-carry | 266+882 | d2:6+2+0=8→w8,c0 ; d1:6+8+0=14→w4,c1 ; d0:2+8+1=11→w1,c1 ; sum=1148 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=-15 | 3x-9=-15 ; x+-3=-5 ; x=-5--3 ; x=-2 |
list_summation | list_summation:right-to-left | 0, 1, 2, 4 | 2+4=6 ; 1+6=7 ; 0+7=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=18 | 3x+21=18 ; x+7=6 ; x=6-7 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=21,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:5 ; OUT:15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 417+431 | p100:400+400=800 ; p10:10+30=40 ; p1:7+1=8 ; sum=800+40+8=848 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.