task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 179+343 | d2:9+3+0=12→w2,c1 ; d1:7+4+1=12→w2,c1 ; d0:1+3+1=5→w5,c0 ; sum=522 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=0 | 3x+12=0 ; x=(0-12)/3 ; x=-12/3 ; x=-4 |
base_conversion | base_conversion:via-binary | n=54,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:6 ; OUT:36 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-36=9 | 9x-36=9 ; x=(9--36)/9 ; x=45/9 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 9, 0, 2 | [3,5,9,0,2] ; [3,5,0,9,2] ; [3,5,0,2,9] ; [3,0,5,2,9] ; [3,0,2,5,9] ; [0,3,2,5,9] ; [0,2,3,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 7, 6, 3, 5 | [0,7,6,3,5] ; [0,3,6,7,5] ; [0,3,5,7,6] ; [0,3,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 407+224 | d2:7+4+0=11→w1,c1 ; d1:0+2+1=3→w3,c0 ; d0:4+2+0=6→w6,c0 ; sum=631 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=14 | 7x+7=14 ; 7x=7 ; x=1 |
base_conversion | base_conversion:via-binary | n=202,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11001010 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 8, 3, 6 | [1,5,8,3,6] ; [1,5,8,3,6] ; [1,3,5,8,6] ; [1,3,5,6,8] |
base_conversion | base_conversion:via-binary | n=99,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:3 ; OUT:63 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 0, 4, 9 | [5,0,6,4,9] ; [5,0,4,6,9] ; [0,5,4,6,9] ; [0,4,5,6,9] |
base_conversion | base_conversion:repeated-division | n=226,base=4 | DIV:226/4=56,r:2 ; DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3202 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=-72 | 8x-24=-72 ; x+-3=-9 ; x=-9--3 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; D:(2,4) ; R:(2,5) |
list_summation | list_summation:pairwise | 9, 4, 0, 2 | 9+4=13 ; 0+2=2 ; 13+2=15 |
list_summation | list_summation:pairwise | 9, 2, 9, 7 | 9+2=11 ; 9+7=16 ; 11+16=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(4,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=190,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:14 ; OUT:BE |
base_conversion | base_conversion:repeated-division | n=62,base=16 | DIV:62/16=3,r:14 ; DIV:3/16=0,r:3 ; OUT:3E |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 2, 7, 0 | [1,8,2,7,0] ; [1,2,8,7,0] ; [1,2,7,8,0] ; [1,2,7,0,8] ; [1,2,0,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 2, 7, 1 | [8,0,2,7,1] ; [8,7,2,0,1] ; [1,7,2,0,8] ; [7,1,2,0,8] ; [0,1,2,7,8] ; [2,1,0,7,8] ; [0,1,2,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 134+662 | d2:4+2+0=6→w6,c0 ; d1:3+6+0=9→w9,c0 ; d0:1+6+0=7→w7,c0 ; sum=796 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 2, 5, 9 | [0,4,2,5,9] ; [0,2,4,5,9] ; [0,2,4,5,9] ; [0,2,4,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 0, 4, 2 | [0,8,3,4,2] ; [0,2,3,4,8] ; [0,2,3,4,8] ; [0,2,3,4,8] |
base_conversion | base_conversion:via-binary | n=10,base=4 | BINLEN:4 ; CHUNK:0:2 ; CHUNK:1:2 ; OUT:22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=-80 | 8x-32=-80 ; x+-4=-10 ; x=-10--4 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 277+366 | d2:7+6+0=13→w3,c1 ; d1:7+6+1=14→w4,c1 ; d0:2+3+1=6→w6,c0 ; sum=643 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 1, 7, 2, 5 | [1,8,7,2,5] ; [1,8,2,7,5] ; [1,2,7,8,5] ; [1,2,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=-64 | 8x+8=-64 ; 8x=-72 ; x=-9 |
base_conversion | base_conversion:via-binary | n=246,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:3312 |
multidigit_addition | multidigit_addition:right-to-left-carry | 133+368 | d2:3+8+0=11→w1,c1 ; d1:3+6+1=10→w0,c1 ; d0:1+3+1=5→w5,c0 ; sum=501 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,3) | D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 4, 9, 7 | [2,3,4,9,7] ; [2,3,4,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 7, 4, 1 | [3,9,7,4,1] ; [3,9,4,7,1] ; [3,4,7,9,1] ; [1,3,4,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+8=14 | 2x+8=14 ; x+4=7 ; x=7-4 ; 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) |
list_summation | list_summation:pairwise | 7, 7, 3, 2 | 7+7=14 ; 3+2=5 ; 14+5=19 |
list_summation | list_summation:right-to-left | 2, 9, 7, 3 | 7+3=10 ; 9+10=19 ; 2+19=21 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 2, 9, 0 | [3,6,2,9,0] ; [2,3,6,9,0] ; [2,3,6,9,0] ; [0,2,3,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 259+292 | round:260+292=552 ; adjust:552-1=551 ; sum=551 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+0=32 | 4x+0=32 ; x=(32-0)/4 ; x=32/4 ; x=8 |
list_summation | list_summation:pairwise | 9, 7, 8, 7 | 9+7=16 ; 8+7=15 ; 16+15=31 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 3, 0, 7 | [4,6,3,0,7] ; [4,3,6,0,7] ; [4,3,0,6,7] ; [3,4,0,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,3) | D:(4,1) ; R:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; R:(2,4) ; D:(3,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,2) | R:(1,1) ; R:(1,2) ; D:(2,2) |
base_conversion | base_conversion:repeated-division | n=155,base=8 | DIV:155/8=19,r:3 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:233 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,3) | R:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 6, 5, 0, 1 | [0,6,5,8,1] ; [0,1,5,8,6] ; [0,1,5,8,6] ; [0,1,5,6,8] |
list_summation | list_summation:left-to-right | 0, 2, 6, 7 | 0+2=2 ; 2+6=8 ; 8+7=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 838+578 | round:840+578=1418 ; adjust:1418-2=1416 ; sum=1416 |
list_summation | list_summation:left-to-right | 5, 6, 4, 7 | 5+6=11 ; 11+4=15 ; 15+7=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 319+318 | d2:9+8+0=17→w7,c1 ; d1:1+1+1=3→w3,c0 ; d0:3+3+0=6→w6,c0 ; sum=637 |
base_conversion | base_conversion:repeated-division | n=137,base=16 | DIV:137/16=8,r:9 ; DIV:8/16=0,r:8 ; OUT:89 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=104 | 8x+56=104 ; x=(104-56)/8 ; x=48/8 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,4) | D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 841+915 | p100:800+900=1700 ; p10:40+10=50 ; p1:1+5=6 ; sum=1700+50+6=1756 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 7, 0, 3, 4 | [0,7,9,3,4] ; [0,3,9,7,4] ; [0,3,4,7,9] ; [0,3,4,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 985+852 | d2:5+2+0=7→w7,c0 ; d1:8+5+0=13→w3,c1 ; d0:9+8+1=18→w8,c1 ; sum=1837 |
multidigit_addition | multidigit_addition:left-to-right-partials | 357+870 | p100:300+800=1100 ; p10:50+70=120 ; p1:7+0=7 ; sum=1100+120+7=1227 |
list_summation | list_summation:pairwise | 2, 1, 1, 3 | 2+1=3 ; 1+3=4 ; 3+4=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 4, 5, 8 | [2,7,4,5,8] ; [2,4,7,5,8] ; [2,4,5,7,8] ; [2,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=100,base=16 | TERM:6*16^1=96 ; TERM:4*16^0=4 ; OUT:64 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+21=56 | 7x+21=56 ; x+3=8 ; x=8-3 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 3, 2, 6 | [2,8,3,5,6] ; [2,3,8,5,6] ; [2,3,5,8,6] ; [2,3,5,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 9, 6, 1 | [0,3,9,6,1] ; [0,3,6,9,1] ; [0,1,3,6,9] |
list_summation | list_summation:right-to-left | 6, 9, 4, 1 | 4+1=5 ; 9+5=14 ; 6+14=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,5) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 9, 8, 7, 3 | 9+8=17 ; 7+3=10 ; 17+10=27 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=18 | 9x+0=18 ; 9x=18 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=-104 | 8x-56=-104 ; x=(-104--56)/8 ; x=-48/8 ; x=-6 |
base_conversion | base_conversion:via-binary | n=90,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1011010 |
base_conversion | base_conversion:via-binary | n=153,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2121 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-6=-30 | 6x-6=-30 ; 6x=-24 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 722+648 | round:730+648=1378 ; adjust:1378-8=1370 ; sum=1370 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=0 | 8x+24=0 ; 8x=-24 ; x=-3 |
base_conversion | base_conversion:via-binary | n=107,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:3 ; OUT:153 |
list_summation | list_summation:left-to-right | 1, 7, 5, 3 | 1+7=8 ; 8+5=13 ; 13+3=16 |
list_summation | list_summation:pairwise | 1, 4, 7, 6 | 1+4=5 ; 7+6=13 ; 5+13=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=-64 | 4x-36=-64 ; x+-9=-16 ; x=-16--9 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-45=-54 | 9x-45=-54 ; x+-5=-6 ; x=-6--5 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-88 | 8x-16=-88 ; 8x=-72 ; x=-9 |
list_summation | list_summation:right-to-left | 5, 0, 9, 8 | 9+8=17 ; 0+17=17 ; 5+17=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 0, 2, 1 | [8,9,0,2,1] ; [0,2,8,9,1] ; [0,1,2,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=-108 | 9x-45=-108 ; 9x=-63 ; x=-7 |
base_conversion | base_conversion:via-binary | n=183,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10110111 |
list_summation | list_summation:pairwise | 5, 5, 8, 9 | 5+5=10 ; 8+9=17 ; 10+17=27 |
multidigit_addition | multidigit_addition:left-to-right-partials | 723+528 | p100:700+500=1200 ; p10:20+20=40 ; p1:3+8=11 ; sum=1200+40+11=1251 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 6, 9, 8 | [3,4,6,9,8] ; [3,4,6,9,8] ; [3,4,6,9,8] ; [3,4,6,8,9] |
base_conversion | base_conversion:repeated-division | n=222,base=4 | DIV:222/4=55,r:2 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3132 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 6, 3, 9 | [7,9,6,3,0] ; [9,7,6,3,0] ; [0,7,6,3,9] ; [7,0,6,3,9] ; [7,3,6,0,9] ; [0,3,6,7,9] ; [6,3,0,7,9] ; [0,3,6,7,9] ; [3,0,6,7,9] ; [0,3,6,7,9] |
base_conversion | base_conversion:decomposition | n=63,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:333 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.