task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=34,base=16 | DIV:34/16=2,r:2 ; DIV:2/16=0,r:2 ; OUT:22 |
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:subtract-then-divide | 7x+63=28 | 7x+63=28 ; 7x=-35 ; x=-5 |
base_conversion | base_conversion:decomposition | n=46,base=4 | TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:232 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 3, 7, 0 | [2,3,5,7,0] ; [0,2,3,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 689+512 | round:690+512=1202 ; adjust:1202-1=1201 ; sum=1201 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+32=20 | 4x+32=20 ; x+8=5 ; x=5-8 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=0 | 8x-64=0 ; 8x=64 ; x=8 |
list_summation | list_summation:pairwise | 2, 2, 9, 6 | 2+2=4 ; 9+6=15 ; 4+15=19 |
list_summation | list_summation:pairwise | 0, 9, 4, 7 | 0+9=9 ; 4+7=11 ; 9+11=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-24=12 | 4x-24=12 ; 4x=36 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 0, 3, 7 | [6,7,0,3,4] ; [7,6,0,3,4] ; [4,6,0,3,7] ; [6,4,0,3,7] ; [3,4,0,6,7] ; [4,3,0,6,7] ; [0,3,4,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; D:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 6, 9, 1 | [2,4,6,9,1] ; [2,4,6,9,1] ; [2,4,6,9,1] ; [1,2,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 6, 2, 2, 4 | 2+4=6 ; 2+6=8 ; 6+8=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 173+782 | d2:3+2+0=5→w5,c0 ; d1:7+8+0=15→w5,c1 ; d0:1+7+1=9→w9,c0 ; sum=955 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 4, 3, 9 | [3,8,4,5,9] ; [3,4,8,5,9] ; [3,4,5,8,9] ; [3,4,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,2) | R:(2,1) ; D:(3,1) ; R:(3,2) |
list_summation | list_summation:pairwise | 7, 9, 7, 5 | 7+9=16 ; 7+5=12 ; 16+12=28 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-42 | 3x-21=-42 ; x=(-42--21)/3 ; x=-21/3 ; x=-7 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 9, 0, 7 | [2,7,9,0,6] ; [9,7,2,0,6] ; [6,7,2,0,9] ; [7,6,2,0,9] ; [0,6,2,7,9] ; [6,0,2,7,9] ; [2,0,6,7,9] ; [0,2,6,7,9] |
base_conversion | base_conversion:repeated-division | n=165,base=2 | DIV:165/2=82,r:1 ; DIV:82/2=41,r:0 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10100101 |
base_conversion | base_conversion:decomposition | n=121,base=8 | TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:1*8^0=1 ; OUT:171 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=24 | 3x+27=24 ; x=(24-27)/3 ; x=-3/3 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 391+906 | round:400+906=1306 ; adjust:1306-9=1297 ; sum=1297 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,4) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 3, 1, 5, 8 | [2,8,1,5,3] ; [8,2,1,5,3] ; [8,5,1,2,3] ; [3,5,1,2,8] ; [5,3,1,2,8] ; [2,3,1,5,8] ; [3,2,1,5,8] ; [1,2,3,5,8] ; [2,1,3,5,8] ; [1,2,3,5,8] |
base_conversion | base_conversion:repeated-division | n=112,base=16 | DIV:112/16=7,r:0 ; DIV:7/16=0,r:7 ; OUT:70 |
list_summation | list_summation:right-to-left | 7, 3, 3, 3 | 3+3=6 ; 3+6=9 ; 7+9=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 322+967 | round:330+967=1297 ; adjust:1297-8=1289 ; sum=1289 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-54=-63 | 9x-54=-63 ; 9x=-9 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 6, 9, 7 | [0,3,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(2,5) | D:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:pairwise | 7, 6, 5, 4 | 7+6=13 ; 5+4=9 ; 13+9=22 |
list_summation | list_summation:right-to-left | 4, 0, 4, 0 | 4+0=4 ; 0+4=4 ; 4+4=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 7, 3, 9 | [4,8,3,7,9] ; [3,4,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 873+438 | d2:3+8+0=11→w1,c1 ; d1:7+3+1=11→w1,c1 ; d0:8+4+1=13→w3,c1 ; sum=1311 |
base_conversion | base_conversion:via-binary | n=91,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1011011 |
list_summation | list_summation:pairwise | 9, 8, 5, 8 | 9+8=17 ; 5+8=13 ; 17+13=30 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 6, 5, 1, 8 | [7,8,5,1,6] ; [8,7,5,1,6] ; [6,7,5,1,8] ; [7,6,5,1,8] ; [1,6,5,7,8] ; [6,1,5,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=7 | 7x+49=7 ; x+7=1 ; x=1-7 ; x=-6 |
list_summation | list_summation:right-to-left | 3, 2, 0, 9 | 0+9=9 ; 2+9=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=40 | 5x+5=40 ; 5x=35 ; x=7 |
list_summation | list_summation:pairwise | 4, 0, 5, 1 | 4+0=4 ; 5+1=6 ; 4+6=10 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=12 | 6x+30=12 ; 6x=-18 ; x=-3 |
base_conversion | base_conversion:via-binary | n=49,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; OUT:31 |
base_conversion | base_conversion:via-binary | n=221,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:13 ; OUT:DD |
base_conversion | base_conversion:via-binary | n=141,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:215 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-21=-21 | 7x-21=-21 ; 7x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 985+846 | p100:900+800=1700 ; p10:80+40=120 ; p1:5+6=11 ; sum=1700+120+11=1831 |
multidigit_addition | multidigit_addition:rounding-decomposition | 427+810 | round:430+810=1240 ; adjust:1240-3=1237 ; sum=1237 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,4) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 2, 6, 8 | [1,4,2,6,8] ; [1,2,4,6,8] ; [1,2,4,6,8] ; [1,2,4,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 4, 8, 3, 6 | [2,6,8,3,4] ; [8,6,2,3,4] ; [4,6,2,3,8] ; [6,4,2,3,8] ; [3,4,2,6,8] ; [4,3,2,6,8] ; [2,3,4,6,8] ; [3,2,4,6,8] ; [2,3,4,6,8] |
list_summation | list_summation:left-to-right | 0, 8, 8, 7 | 0+8=8 ; 8+8=16 ; 16+7=23 |
multidigit_addition | multidigit_addition:rounding-decomposition | 455+532 | round:460+532=992 ; adjust:992-5=987 ; sum=987 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 9, 2, 5 | [1,8,2,9,5] ; [1,8,2,5,9] ; [1,2,8,5,9] ; [1,2,5,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=-72 | 9x+0=-72 ; x+0=-8 ; x=-8-0 ; x=-8 |
list_summation | list_summation:pairwise | 7, 7, 1, 6 | 7+7=14 ; 1+6=7 ; 14+7=21 |
base_conversion | base_conversion:decomposition | n=211,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:3*8^0=3 ; OUT:323 |
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=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=183,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:7 ; OUT:B7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=2 | 2x+16=2 ; x+8=1 ; x=1-8 ; x=-7 |
base_conversion | base_conversion:via-binary | n=3,base=16 | BINLEN:2 ; CHUNK:0:3 ; OUT:3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 220+399 | d2:0+9+0=9→w9,c0 ; d1:2+9+0=11→w1,c1 ; d0:2+3+1=6→w6,c0 ; sum=619 |
list_summation | list_summation:left-to-right | 2, 2, 3, 0 | 2+2=4 ; 4+3=7 ; 7+0=7 |
list_summation | list_summation:right-to-left | 2, 9, 0, 5 | 0+5=5 ; 9+5=14 ; 2+14=16 |
list_summation | list_summation:left-to-right | 4, 3, 5, 1 | 4+3=7 ; 7+5=12 ; 12+1=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,4) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=140,base=8 | DIV:140/8=17,r:4 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:214 |
multidigit_addition | multidigit_addition:rounding-decomposition | 509+401 | round:510+401=911 ; adjust:911-1=910 ; sum=910 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-32=-88 | 8x-32=-88 ; 8x=-56 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+18=66 | 6x+18=66 ; x+3=11 ; x=11-3 ; x=8 |
base_conversion | base_conversion:repeated-division | n=181,base=2 | DIV:181/2=90,r:1 ; DIV:90/2=45,r:0 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; 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:10110101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=50,base=16 | TERM:3*16^1=48 ; TERM:2*16^0=2 ; OUT:32 |
list_summation | list_summation:left-to-right | 9, 5, 5, 5 | 9+5=14 ; 14+5=19 ; 19+5=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 186+412 | round:190+412=602 ; adjust:602-4=598 ; sum=598 |
list_summation | list_summation:right-to-left | 8, 6, 9, 9 | 9+9=18 ; 6+18=24 ; 8+24=32 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 9, 3, 2, 5 | [6,9,3,2,5] ; [3,6,9,2,5] ; [2,3,6,9,5] ; [2,3,5,6,9] |
list_summation | list_summation:right-to-left | 7, 2, 2, 6 | 2+6=8 ; 2+8=10 ; 7+10=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 989+391 | d2:9+1+0=10→w0,c1 ; d1:8+9+1=18→w8,c1 ; d0:9+3+1=13→w3,c1 ; sum=1380 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=81 | 9x+27=81 ; x=(81-27)/9 ; x=54/9 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=63 | 9x+54=63 ; x+6=7 ; x=7-6 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; D:(3,3) ; R:(3,4) |
list_summation | list_summation:right-to-left | 4, 1, 3, 6 | 3+6=9 ; 1+9=10 ; 4+10=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 3, 6, 9 | [5,9,3,6,0] ; [9,5,3,6,0] ; [9,6,3,5,0] ; [0,6,3,5,9] ; [6,0,3,5,9] ; [6,5,3,0,9] ; [0,5,3,6,9] ; [5,0,3,6,9] ; [3,0,5,6,9] ; [0,3,5,6,9] |
base_conversion | base_conversion:decomposition | n=76,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:114 |
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