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=98,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:1202 |
multidigit_addition | multidigit_addition:left-to-right-partials | 552+839 | p100:500+800=1300 ; p10:50+30=80 ; p1:2+9=11 ; sum=1300+80+11=1391 |
base_conversion | base_conversion:decomposition | n=27,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:123 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=24 | 6x+30=24 ; x+5=4 ; x=4-5 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-18 | 3x-21=-18 ; x=(-18--21)/3 ; x=3/3 ; x=1 |
base_conversion | base_conversion:repeated-division | n=189,base=2 | DIV:189/2=94,r:1 ; DIV:94/2=47,r:0 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10111101 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 5, 2, 6, 7 | [0,5,2,6,7] ; [0,2,5,6,7] ; [0,2,5,6,7] ; [0,2,5,6,7] |
base_conversion | base_conversion:repeated-division | n=93,base=16 | DIV:93/16=5,r:13 ; DIV:5/16=0,r:5 ; OUT:5D |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=15 | 5x+35=15 ; 5x=-20 ; x=-4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 5, 3, 1 | [0,9,5,3,1] ; [0,5,9,3,1] ; [0,3,5,9,1] ; [0,1,3,5,9] |
base_conversion | base_conversion:decomposition | n=18,base=8 | TERM:2*8^1=16 ; TERM:2*8^0=2 ; OUT:22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-48 | 4x-32=-48 ; x=(-48--32)/4 ; x=-16/4 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 561+979 | round:570+979=1549 ; adjust:1549-9=1540 ; sum=1540 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 6, 7, 1 | [0,5,6,1,7] ; [0,5,1,6,7] ; [0,1,5,6,7] |
list_summation | list_summation:left-to-right | 2, 7, 6, 6 | 2+7=9 ; 9+6=15 ; 15+6=21 |
base_conversion | base_conversion:repeated-division | n=8,base=2 | 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:1000 |
list_summation | list_summation:pairwise | 7, 8, 7, 0 | 7+8=15 ; 7+0=7 ; 15+7=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 650+522 | d2:0+2+0=2→w2,c0 ; d1:5+2+0=7→w7,c0 ; d0:6+5+0=11→w1,c1 ; sum=1172 |
base_conversion | base_conversion:via-binary | n=10,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:2 ; OUT:12 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 4, 3, 7 | [2,9,3,4,7] ; [2,3,4,9,7] ; [2,3,4,7,9] |
list_summation | list_summation:pairwise | 6, 0, 6, 3 | 6+0=6 ; 6+3=9 ; 6+9=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 0, 4, 1, 6 | [0,5,4,1,6] ; [0,4,5,1,6] ; [0,4,1,5,6] ; [0,1,4,5,6] |
base_conversion | base_conversion:repeated-division | n=146,base=8 | DIV:146/8=18,r:2 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:222 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-55 | 5x-45=-55 ; x+-9=-11 ; x=-11--9 ; x=-2 |
list_summation | list_summation:pairwise | 9, 0, 7, 9 | 9+0=9 ; 7+9=16 ; 9+16=25 |
list_summation | list_summation:pairwise | 2, 9, 7, 3 | 2+9=11 ; 7+3=10 ; 11+10=21 |
base_conversion | base_conversion:decomposition | n=211,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3103 |
base_conversion | base_conversion:via-binary | n=92,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:134 |
list_summation | list_summation:right-to-left | 9, 8, 7, 4 | 7+4=11 ; 8+11=19 ; 9+19=28 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 0, 6, 1 | [8,6,0,3,1] ; [1,6,0,3,8] ; [6,1,0,3,8] ; [6,3,0,1,8] ; [1,3,0,6,8] ; [3,1,0,6,8] ; [0,1,3,6,8] ; [1,0,3,6,8] ; [0,1,3,6,8] |
base_conversion | base_conversion:decomposition | n=243,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3303 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 0, 5, 2 | [1,0,9,5,2] ; [1,0,5,9,2] ; [1,0,5,2,9] ; [0,1,5,2,9] ; [0,1,2,5,9] |
base_conversion | base_conversion:repeated-division | n=37,base=2 | DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 148+463 | d2:8+3+0=11→w1,c1 ; d1:4+6+1=11→w1,c1 ; d0:1+4+1=6→w6,c0 ; sum=611 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+18=81 | 9x+18=81 ; x+2=9 ; x=9-2 ; x=7 |
list_summation | list_summation:right-to-left | 3, 5, 9, 6 | 9+6=15 ; 5+15=20 ; 3+20=23 |
list_summation | list_summation:pairwise | 1, 9, 9, 6 | 1+9=10 ; 9+6=15 ; 10+15=25 |
list_summation | list_summation:left-to-right | 6, 8, 2, 8 | 6+8=14 ; 14+2=16 ; 16+8=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 3, 1, 5 | [2,3,7,1,5] ; [2,3,1,7,5] ; [2,3,1,5,7] ; [2,1,3,5,7] ; [1,2,3,5,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=185,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10111001 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 8, 3, 2 | [7,9,8,3,2] ; [7,8,9,3,2] ; [3,7,8,9,2] ; [2,3,7,8,9] |
base_conversion | base_conversion:via-binary | n=123,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:11 ; OUT:7B |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 8, 9, 6 | [1,4,8,9,6] ; [1,4,6,8,9] |
list_summation | list_summation:right-to-left | 5, 9, 1, 5 | 1+5=6 ; 9+6=15 ; 5+15=20 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=-60 | 6x-30=-60 ; x=(-60--30)/6 ; x=-30/6 ; x=-5 |
base_conversion | base_conversion:via-binary | n=6,base=8 | BINLEN:3 ; CHUNK:0:6 ; OUT:6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-4=-2 | 2x-4=-2 ; 2x=2 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,4) | R:(0,4) ; D:(1,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=10 | 2x+0=10 ; x=(10-0)/2 ; x=10/2 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 8, 2, 5 | [1,3,8,2,5] ; [1,2,8,3,5] ; [1,2,3,8,5] ; [1,2,3,5,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 639+746 | d2:9+6+0=15→w5,c1 ; d1:3+4+1=8→w8,c0 ; d0:6+7+0=13→w3,c1 ; sum=1385 |
base_conversion | base_conversion:via-binary | n=193,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:301 |
multidigit_addition | multidigit_addition:rounding-decomposition | 840+362 | round:840+362=1202 ; adjust:1202-0=1202 ; sum=1202 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(1,2) | R:(0,2) ; D:(1,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-24=-6 | 6x-24=-6 ; 6x=18 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 4, 3, 2 | [1,7,3,4,2] ; [1,3,4,7,2] ; [1,2,3,4,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 172+350 | round:180+350=530 ; adjust:530-8=522 ; sum=522 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=72 | 9x+45=72 ; 9x=27 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 380+411 | round:380+411=791 ; adjust:791-0=791 ; sum=791 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+54=108 | 6x+54=108 ; 6x=54 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 390+141 | d2:0+1+0=1→w1,c0 ; d1:9+4+0=13→w3,c1 ; d0:3+1+1=5→w5,c0 ; sum=531 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=90 | 9x+9=90 ; x=(90-9)/9 ; x=81/9 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,4) | D:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=113,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:1 ; OUT:161 |
base_conversion | base_conversion:repeated-division | n=175,base=4 | DIV:175/4=43,r:3 ; DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2233 |
multidigit_addition | multidigit_addition:rounding-decomposition | 373+469 | round:380+469=849 ; adjust:849-7=842 ; sum=842 |
base_conversion | base_conversion:via-binary | n=181,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10110101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=48 | 3x+24=48 ; 3x=24 ; x=8 |
list_summation | list_summation:right-to-left | 3, 7, 3, 6 | 3+6=9 ; 7+9=16 ; 3+16=19 |
list_summation | list_summation:right-to-left | 0, 8, 6, 8 | 6+8=14 ; 8+14=22 ; 0+22=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 345+375 | d2:5+5+0=10→w0,c1 ; d1:4+7+1=12→w2,c1 ; d0:3+3+1=7→w7,c0 ; sum=720 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 0, 9, 5 | [0,3,1,9,5] ; [0,1,3,9,5] ; [0,1,3,9,5] ; [0,1,3,5,9] |
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:alternating | grid=6 ; S=(0,0) ; G=(4,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
list_summation | list_summation:right-to-left | 9, 9, 7, 1 | 7+1=8 ; 9+8=17 ; 9+17=26 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 8, 5, 2 | [1,7,8,5,2] ; [1,7,5,8,2] ; [1,5,7,8,2] ; [1,2,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=158,base=4 | DIV:158/4=39,r:2 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2132 |
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 | 4, 5, 4, 4 | 4+5=9 ; 9+4=13 ; 13+4=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=0 | 5x+15=0 ; x=(0-15)/5 ; x=-15/5 ; x=-3 |
base_conversion | base_conversion:via-binary | n=206,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:6 ; OUT:316 |
list_summation | list_summation:pairwise | 0, 0, 3, 2 | 0+0=0 ; 3+2=5 ; 0+5=5 |
list_summation | list_summation:left-to-right | 4, 5, 0, 2 | 4+5=9 ; 9+0=9 ; 9+2=11 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 3, 9, 7 | [4,6,3,9,7] ; [3,4,6,9,7] ; [3,4,6,9,7] ; [3,4,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=80 | 8x+24=80 ; x=(80-24)/8 ; x=56/8 ; x=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 9, 0, 6 | [2,6,9,0,1] ; [9,6,2,0,1] ; [1,6,2,0,9] ; [6,1,2,0,9] ; [0,1,2,6,9] ; [2,1,0,6,9] ; [0,1,2,6,9] ; [1,0,2,6,9] ; [0,1,2,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,1) | R:(1,1) ; D:(2,1) ; D:(3,1) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=16 | 4x+0=16 ; x+0=4 ; x=4-0 ; x=4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 6, 3, 8 | [1,7,6,3,8] ; [1,6,7,3,8] ; [1,3,6,7,8] ; [1,3,6,7,8] |
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