task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=121,base=16 | TERM:7*16^1=112 ; TERM:9*16^0=9 ; OUT:79 |
multidigit_addition | multidigit_addition:right-to-left-carry | 646+261 | d2:6+1+0=7→w7,c0 ; d1:4+6+0=10→w0,c1 ; d0:6+2+1=9→w9,c0 ; sum=907 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 2, 5, 6 | [2,4,5,7,6] ; [2,4,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 641+627 | d2:1+7+0=8→w8,c0 ; d1:4+2+0=6→w6,c0 ; d0:6+6+0=12→w2,c1 ; sum=1268 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,1) | R:(0,1) ; D:(1,1) ; D:(2,1) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 0, 9, 2 | [0,8,1,9,2] ; [0,1,8,9,2] ; [0,1,2,9,8] ; [0,1,2,8,9] |
base_conversion | base_conversion:decomposition | n=168,base=8 | TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:0*8^0=0 ; OUT:250 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 6, 4, 3 | [8,4,6,0,3] ; [3,4,6,0,8] ; [6,4,3,0,8] ; [0,4,3,6,8] ; [4,0,3,6,8] ; [3,0,4,6,8] ; [0,3,4,6,8] |
list_summation | list_summation:pairwise | 8, 5, 0, 0 | 8+5=13 ; 0+0=0 ; 13+0=13 |
list_summation | list_summation:left-to-right | 6, 0, 3, 5 | 6+0=6 ; 6+3=9 ; 9+5=14 |
list_summation | list_summation:pairwise | 6, 2, 1, 9 | 6+2=8 ; 1+9=10 ; 8+10=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=27 | 3x+0=27 ; x=(27-0)/3 ; x=27/3 ; x=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) |
base_conversion | base_conversion:repeated-division | n=170,base=2 | DIV:170/2=85,r:0 ; DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; DIV:21/2=10,r:1 ; 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:10101010 |
list_summation | list_summation:left-to-right | 3, 6, 9, 5 | 3+6=9 ; 9+9=18 ; 18+5=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 695+378 | p100:600+300=900 ; p10:90+70=160 ; p1:5+8=13 ; sum=900+160+13=1073 |
list_summation | list_summation:left-to-right | 3, 3, 4, 6 | 3+3=6 ; 6+4=10 ; 10+6=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 7, 4, 0, 6 | [0,7,4,5,6] ; [0,4,7,5,6] ; [0,4,5,7,6] ; [0,4,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-45 | 9x-72=-45 ; x=(-45--72)/9 ; x=27/9 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:repeated-division | n=212,base=16 | DIV:212/16=13,r:4 ; DIV:13/16=0,r:13 ; OUT:D4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 983+665 | round:990+665=1655 ; adjust:1655-7=1648 ; sum=1648 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-18=3 | 3x-18=3 ; x+-6=1 ; x=1--6 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=10 | 5x-35=10 ; x+-7=2 ; x=2--7 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 724+925 | d2:4+5+0=9→w9,c0 ; d1:2+2+0=4→w4,c0 ; d0:7+9+0=16→w6,c1 ; sum=1649 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 8, 1, 0 | [2,6,8,1,0] ; [2,6,1,8,0] ; [1,2,6,8,0] ; [0,1,2,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 544+156 | p100:500+100=600 ; p10:40+50=90 ; p1:4+6=10 ; sum=600+90+10=700 |
base_conversion | base_conversion:decomposition | n=89,base=16 | TERM:5*16^1=80 ; TERM:9*16^0=9 ; OUT:59 |
list_summation | list_summation:pairwise | 5, 7, 0, 7 | 5+7=12 ; 0+7=7 ; 12+7=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-72 | 9x-81=-72 ; 9x=9 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 5, 1, 9 | [2,8,5,1,9] ; [2,8,1,5,9] ; [1,2,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-108 | 9x-63=-108 ; x+-7=-12 ; x=-12--7 ; x=-5 |
base_conversion | base_conversion:decomposition | n=155,base=16 | TERM:9*16^1=144 ; TERM:11*16^0=11 ; OUT:9B |
multidigit_addition | multidigit_addition:right-to-left-carry | 945+934 | d2:5+4+0=9→w9,c0 ; d1:4+3+0=7→w7,c0 ; d0:9+9+0=18→w8,c1 ; sum=1879 |
base_conversion | base_conversion:via-binary | n=48,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; OUT:30 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 6, 9, 2 | [0,8,6,9,2] ; [0,2,6,9,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 1, 4, 5 | [8,9,1,4,5] ; [1,8,9,4,5] ; [1,4,8,9,5] ; [1,4,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=3 | 3x+0=3 ; x=(3-0)/3 ; x=3/3 ; x=1 |
list_summation | list_summation:pairwise | 9, 9, 2, 3 | 9+9=18 ; 2+3=5 ; 18+5=23 |
base_conversion | base_conversion:decomposition | n=54,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:110110 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 6, 1, 0 | [7,5,6,1,0] ; [0,5,6,1,7] ; [6,5,0,1,7] ; [1,5,0,6,7] ; [5,1,0,6,7] ; [0,1,5,6,7] ; [1,0,5,6,7] ; [0,1,5,6,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 6, 5, 3 | [8,5,6,4,3] ; [3,5,6,4,8] ; [6,5,3,4,8] ; [4,5,3,6,8] ; [5,4,3,6,8] ; [3,4,5,6,8] ; [4,3,5,6,8] ; [3,4,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-18=6 | 3x-18=6 ; 3x=24 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=30 | 3x+15=30 ; x=(30-15)/3 ; x=15/3 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 569+262 | p100:500+200=700 ; p10:60+60=120 ; p1:9+2=11 ; sum=700+120+11=831 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=42 | 7x-7=42 ; 7x=49 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-54=-135 | 9x-54=-135 ; x=(-135--54)/9 ; x=-81/9 ; x=-9 |
base_conversion | base_conversion:decomposition | n=205,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:3031 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 222+324 | round:230+324=554 ; adjust:554-8=546 ; sum=546 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3) |
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 |
list_summation | list_summation:right-to-left | 5, 2, 8, 6 | 8+6=14 ; 2+14=16 ; 5+16=21 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 9, 6, 3 | [0,2,9,6,3] ; [0,2,9,6,3] ; [0,2,3,6,9] ; [0,2,3,6,9] |
base_conversion | base_conversion:decomposition | n=114,base=8 | TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:2*8^0=2 ; OUT:162 |
base_conversion | base_conversion:via-binary | n=200,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:8 ; OUT:C8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 3, 2, 1, 7 | [3,8,2,1,7] ; [2,3,8,1,7] ; [1,2,3,8,7] ; [1,2,3,7,8] |
list_summation | list_summation:left-to-right | 1, 3, 9, 6 | 1+3=4 ; 4+9=13 ; 13+6=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=72 | 8x+48=72 ; x+6=9 ; x=9-6 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-56 | 7x-49=-56 ; x=(-56--49)/7 ; x=-7/7 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
list_summation | list_summation:left-to-right | 2, 5, 4, 8 | 2+5=7 ; 7+4=11 ; 11+8=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 276+504 | round:280+504=784 ; adjust:784-4=780 ; sum=780 |
list_summation | list_summation:right-to-left | 3, 5, 2, 5 | 2+5=7 ; 5+7=12 ; 3+12=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=0 | 3x+9=0 ; x=(0-9)/3 ; x=-9/3 ; x=-3 |
list_summation | list_summation:left-to-right | 8, 6, 1, 3 | 8+6=14 ; 14+1=15 ; 15+3=18 |
base_conversion | base_conversion:repeated-division | n=154,base=8 | DIV:154/8=19,r:2 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:232 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 6, 9, 2 | [0,7,6,9,2] ; [0,6,7,9,2] ; [0,6,7,9,2] ; [0,2,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=21 | 7x+14=21 ; 7x=7 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=245,base=8 | DIV:245/8=30,r:5 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:365 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,2) | D:(2,1) ; R:(2,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 2, 8, 9, 7 | [2,5,8,9,7] ; [2,5,8,7,9] ; [2,5,7,8,9] |
base_conversion | base_conversion:decomposition | n=99,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:3*8^0=3 ; OUT:143 |
multidigit_addition | multidigit_addition:left-to-right-partials | 398+215 | p100:300+200=500 ; p10:90+10=100 ; p1:8+5=13 ; sum=500+100+13=613 |
base_conversion | base_conversion:via-binary | n=120,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1111000 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 2, 5, 4 | [1,7,2,5,4] ; [1,2,7,5,4] ; [1,2,5,7,4] ; [1,2,4,5,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 990+579 | d2:0+9+0=9→w9,c0 ; d1:9+7+0=16→w6,c1 ; d0:9+5+1=15→w5,c1 ; sum=1569 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-60 | 6x-54=-60 ; 6x=-6 ; x=-1 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 2, 7, 1, 6 | [9,6,7,1,2] ; [2,6,7,1,9] ; [7,6,2,1,9] ; [1,6,2,7,9] ; [6,1,2,7,9] ; [2,1,6,7,9] ; [1,2,6,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 3, 7, 0 | [0,6,3,7,9] ; [0,3,6,7,9] ; [0,3,6,7,9] ; [0,3,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=12 | 3x+9=12 ; 3x=3 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=24 | 8x+72=24 ; 8x=-48 ; x=-6 |
list_summation | list_summation:right-to-left | 9, 8, 5, 2 | 5+2=7 ; 8+7=15 ; 9+15=24 |
base_conversion | base_conversion:decomposition | n=221,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:3131 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 6, 2, 5 | [1,3,6,2,5] ; [1,2,6,3,5] ; [1,2,3,6,5] ; [1,2,3,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 957+681 | d2:7+1+0=8→w8,c0 ; d1:5+8+0=13→w3,c1 ; d0:9+6+1=16→w6,c1 ; sum=1638 |
base_conversion | base_conversion:repeated-division | n=251,base=8 | DIV:251/8=31,r:3 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:373 |
base_conversion | base_conversion:repeated-division | n=149,base=2 | DIV:149/2=74,r:1 ; DIV:74/2=37,r:0 ; 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:10010101 |
base_conversion | base_conversion:via-binary | n=193,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11000001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 896+977 | p100:800+900=1700 ; p10:90+70=160 ; p1:6+7=13 ; sum=1700+160+13=1873 |
multidigit_addition | multidigit_addition:left-to-right-partials | 290+200 | p100:200+200=400 ; p10:90+0=90 ; p1:0+0=0 ; sum=400+90+0=490 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-12=-16 | 4x-12=-16 ; 4x=-4 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 150+336 | p100:100+300=400 ; p10:50+30=80 ; p1:0+6=6 ; sum=400+80+6=486 |
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