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 | 565+144 | p100:500+100=600 ; p10:60+40=100 ; p1:5+4=9 ; sum=600+100+9=709 |
list_summation | list_summation:left-to-right | 4, 4, 7, 7 | 4+4=8 ; 8+7=15 ; 15+7=22 |
list_summation | list_summation:pairwise | 9, 8, 4, 3 | 9+8=17 ; 4+3=7 ; 17+7=24 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 2, 1, 6 | [0,7,2,1,6] ; [0,7,1,2,6] ; [0,1,2,7,6] ; [0,1,2,6,7] |
base_conversion | base_conversion:repeated-division | n=169,base=8 | DIV:169/8=21,r:1 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:251 |
base_conversion | base_conversion:decomposition | n=159,base=16 | TERM:9*16^1=144 ; TERM:15*16^0=15 ; OUT:9F |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 6, 5, 1 | [1,4,6,5,7] ; [1,4,6,5,7] ; [1,4,5,6,7] ; [1,4,5,6,7] |
base_conversion | base_conversion:decomposition | n=255,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3333 |
list_summation | list_summation:left-to-right | 6, 0, 5, 9 | 6+0=6 ; 6+5=11 ; 11+9=20 |
list_summation | list_summation:pairwise | 4, 3, 3, 4 | 4+3=7 ; 3+4=7 ; 7+7=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-45=-108 | 9x-45=-108 ; x+-5=-12 ; x=-12--5 ; x=-7 |
base_conversion | base_conversion:decomposition | n=23,base=4 | TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:113 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
list_summation | list_summation:right-to-left | 3, 8, 6, 5 | 6+5=11 ; 8+11=19 ; 3+19=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 570+726 | d2:0+6+0=6→w6,c0 ; d1:7+2+0=9→w9,c0 ; d0:5+7+0=12→w2,c1 ; sum=1296 |
list_summation | list_summation:right-to-left | 0, 5, 6, 5 | 6+5=11 ; 5+11=16 ; 0+16=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 3, 4, 8 | [1,9,3,4,8] ; [1,3,9,4,8] ; [1,3,4,9,8] ; [1,3,4,8,9] |
base_conversion | base_conversion:via-binary | n=175,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:15 ; OUT:AF |
multidigit_addition | multidigit_addition:rounding-decomposition | 505+175 | round:510+175=685 ; adjust:685-5=680 ; sum=680 |
base_conversion | base_conversion:via-binary | n=220,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:334 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 9, 7, 4 | [0,3,9,7,4] ; [0,3,7,9,4] ; [0,3,4,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 0, 8, 4 | [0,9,6,8,4] ; [0,4,6,8,9] ; [0,4,6,8,9] ; [0,4,6,8,9] |
list_summation | list_summation:pairwise | 6, 1, 3, 7 | 6+1=7 ; 3+7=10 ; 7+10=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=-56 | 8x-16=-56 ; x=(-56--16)/8 ; x=-40/8 ; x=-5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 6, 5, 7 | [0,3,6,5,7] ; [0,3,6,5,7] ; [0,3,5,6,7] ; [0,3,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=105 | 7x+42=105 ; 7x=63 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=36 | 9x+45=36 ; 9x=-9 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=12 | 3x+0=12 ; 3x=12 ; x=4 |
base_conversion | base_conversion:via-binary | n=237,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:13 ; OUT:ED |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 3, 1, 6, 0 | [2,6,1,3,0] ; [6,2,1,3,0] ; [6,3,1,2,0] ; [0,3,1,2,6] ; [3,0,1,2,6] ; [3,2,1,0,6] ; [0,2,1,3,6] ; [2,0,1,3,6] ; [1,0,2,3,6] ; [0,1,2,3,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 7, 6, 2 | [3,4,7,6,2] ; [3,4,6,7,2] ; [3,4,6,2,7] ; [3,4,2,6,7] ; [3,2,4,6,7] ; [2,3,4,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 853+995 | p100:800+900=1700 ; p10:50+90=140 ; p1:3+5=8 ; sum=1700+140+8=1848 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=96 | 8x+56=96 ; x+7=12 ; x=12-7 ; x=5 |
base_conversion | base_conversion:decomposition | n=109,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1231 |
multidigit_addition | multidigit_addition:left-to-right-partials | 471+664 | p100:400+600=1000 ; p10:70+60=130 ; p1:1+4=5 ; sum=1000+130+5=1135 |
base_conversion | base_conversion:decomposition | n=147,base=16 | TERM:9*16^1=144 ; TERM:3*16^0=3 ; OUT:93 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 8, 4, 9 | [6,7,8,4,9] ; [6,7,4,8,9] ; [4,6,7,8,9] |
list_summation | list_summation:right-to-left | 2, 7, 5, 4 | 5+4=9 ; 7+9=16 ; 2+16=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 7, 3, 2 | [5,8,7,3,2] ; [5,7,8,3,2] ; [3,5,7,8,2] ; [2,3,5,7,8] |
base_conversion | base_conversion:repeated-division | n=36,base=4 | DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:210 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-55 | 5x-45=-55 ; x=(-55--45)/5 ; x=-10/5 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-20 | 4x-36=-20 ; 4x=16 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 919+779 | p100:900+700=1600 ; p10:10+70=80 ; p1:9+9=18 ; sum=1600+80+18=1698 |
base_conversion | base_conversion:repeated-division | n=53,base=8 | DIV:53/8=6,r:5 ; DIV:6/8=0,r:6 ; OUT:65 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 573+141 | round:580+141=721 ; adjust:721-7=714 ; sum=714 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+10=6 | 2x+10=6 ; x=(6-10)/2 ; x=-4/2 ; x=-2 |
base_conversion | base_conversion:via-binary | n=144,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:220 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 5, 8, 2 | [2,7,5,8,4] ; [2,4,5,8,7] ; [2,4,5,8,7] ; [2,4,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-144 | 9x-81=-144 ; x+-9=-16 ; x=-16--9 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=196,base=8 | DIV:196/8=24,r:4 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:304 |
multidigit_addition | multidigit_addition:rounding-decomposition | 530+133 | round:530+133=663 ; adjust:663-0=663 ; sum=663 |
base_conversion | base_conversion:via-binary | n=245,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3311 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 0, 1, 8, 6 | [0,5,1,8,6] ; [0,1,5,8,6] ; [0,1,5,6,8] |
base_conversion | base_conversion:repeated-division | n=187,base=8 | DIV:187/8=23,r:3 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:273 |
list_summation | list_summation:right-to-left | 6, 7, 6, 2 | 6+2=8 ; 7+8=15 ; 6+15=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+14=21 | 7x+14=21 ; x+2=3 ; x=3-2 ; x=1 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 5, 0, 4 | [0,2,5,1,4] ; [0,1,5,2,4] ; [0,1,2,5,4] ; [0,1,2,4,5] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-63=-21 | 7x-63=-21 ; x=(-21--63)/7 ; x=42/7 ; x=6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 3, 1, 5 | [4,7,3,1,5] ; [3,4,7,1,5] ; [1,3,4,7,5] ; [1,3,4,5,7] |
list_summation | list_summation:right-to-left | 6, 7, 2, 8 | 2+8=10 ; 7+10=17 ; 6+17=23 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 5, 3, 6, 4 | [7,6,3,5,4] ; [4,6,3,5,7] ; [6,4,3,5,7] ; [6,5,3,4,7] ; [4,5,3,6,7] ; [5,4,3,6,7] ; [3,4,5,6,7] ; [4,3,5,6,7] ; [3,4,5,6,7] |
base_conversion | base_conversion:via-binary | n=121,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:1321 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+54=84 | 6x+54=84 ; 6x=30 ; x=5 |
list_summation | list_summation:right-to-left | 3, 0, 1, 7 | 1+7=8 ; 0+8=8 ; 3+8=11 |
base_conversion | base_conversion:repeated-division | n=219,base=2 | DIV:219/2=109,r:1 ; DIV:109/2=54,r:1 ; 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:11011011 |
list_summation | list_summation:right-to-left | 0, 3, 0, 5 | 0+5=5 ; 3+5=8 ; 0+8=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=202,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:3022 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 1, 3, 7 | [0,8,1,3,7] ; [0,1,8,3,7] ; [0,1,3,8,7] ; [0,1,3,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 3, 9, 4 | [1,5,3,9,4] ; [1,3,5,9,4] ; [1,3,5,9,4] ; [1,3,4,5,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=48 | 6x+30=48 ; x=(48-30)/6 ; x=18/6 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=-32 | 8x+0=-32 ; x=(-32-0)/8 ; x=-32/8 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 2, 5, 4 | [1,2,5,8,4] ; [1,2,4,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=42 | 3x+27=42 ; x+9=14 ; x=14-9 ; x=5 |
list_summation | list_summation:right-to-left | 6, 0, 0, 6 | 0+6=6 ; 0+6=6 ; 6+6=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-6 | 3x-21=-6 ; x+-7=-2 ; x=-2--7 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 7, 2, 5 | [6,5,7,2,3] ; [7,5,6,2,3] ; [3,5,6,2,7] ; [6,5,3,2,7] ; [2,5,3,6,7] ; [5,2,3,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,4) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=8 | 4x+36=8 ; 4x=-28 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 117+413 | round:120+413=533 ; adjust:533-3=530 ; sum=530 |
multidigit_addition | multidigit_addition:left-to-right-partials | 366+404 | p100:300+400=700 ; p10:60+0=60 ; p1:6+4=10 ; sum=700+60+10=770 |
multidigit_addition | multidigit_addition:right-to-left-carry | 367+274 | d2:7+4+0=11→w1,c1 ; d1:6+7+1=14→w4,c1 ; d0:3+2+1=6→w6,c0 ; sum=641 |
base_conversion | base_conversion:decomposition | n=99,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:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1100011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-25 | 5x-30=-25 ; x=(-25--30)/5 ; x=5/5 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=12 | 3x-9=12 ; x=(12--9)/3 ; x=21/3 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=56 | 7x+42=56 ; x+6=8 ; x=8-6 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=8 | 8x+0=8 ; x=(8-0)/8 ; x=8/8 ; x=1 |
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