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=5,base=16 | DIV:5/16=0,r:5 ; OUT:5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-14 | 7x-49=-14 ; x=(-14--49)/7 ; x=35/7 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 0, 8, 6 | [3,4,0,8,6] ; [0,3,4,8,6] ; [0,3,4,8,6] ; [0,3,4,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=6 | 6x-30=6 ; x+-5=1 ; x=1--5 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=39 | 3x+12=39 ; x=(39-12)/3 ; x=27/3 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+14=20 | 2x+14=20 ; x+7=10 ; x=10-7 ; x=3 |
list_summation | list_summation:left-to-right | 2, 6, 2, 8 | 2+6=8 ; 8+2=10 ; 10+8=18 |
list_summation | list_summation:pairwise | 6, 5, 3, 6 | 6+5=11 ; 3+6=9 ; 11+9=20 |
base_conversion | base_conversion:via-binary | n=240,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3300 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-6=6 | 6x-6=6 ; 6x=12 ; x=2 |
list_summation | list_summation:left-to-right | 0, 3, 1, 4 | 0+3=3 ; 3+1=4 ; 4+4=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-6 | 2x-16=-6 ; x=(-6--16)/2 ; x=10/2 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 3, 6, 7 | [0,3,5,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 3, 9, 4 | [6,3,8,9,4] ; [6,3,8,4,9] ; [3,6,8,4,9] ; [3,6,4,8,9] ; [3,4,6,8,9] |
list_summation | list_summation:pairwise | 1, 6, 2, 2 | 1+6=7 ; 2+2=4 ; 7+4=11 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 7, 1, 6 | [3,6,7,1,2] ; [7,6,3,1,2] ; [2,6,3,1,7] ; [6,2,3,1,7] ; [1,2,3,6,7] ; [3,2,1,6,7] ; [1,2,3,6,7] ; [2,1,3,6,7] ; [1,2,3,6,7] |
base_conversion | base_conversion:via-binary | n=68,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:4 ; OUT:104 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 8, 7, 4, 9 | [6,9,7,4,8] ; [9,6,7,4,8] ; [9,8,7,4,6] ; [6,8,7,4,9] ; [8,6,7,4,9] ; [4,6,7,8,9] ; [7,6,4,8,9] ; [4,6,7,8,9] ; [6,4,7,8,9] ; [4,6,7,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 1, 2, 9 | [3,7,1,2,9] ; [1,3,7,2,9] ; [1,2,3,7,9] ; [1,2,3,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 426+456 | p100:400+400=800 ; p10:20+50=70 ; p1:6+6=12 ; sum=800+70+12=882 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=10 | 5x-35=10 ; x+-7=2 ; x=2--7 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+0=-18 | 6x+0=-18 ; x+0=-3 ; x=-3-0 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 9, 8, 1 | [0,6,9,8,1] ; [0,6,9,8,1] ; [0,6,8,9,1] ; [0,1,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 5, 2, 9 | [8,9,5,2,0] ; [9,8,5,2,0] ; [0,8,5,2,9] ; [8,0,5,2,9] ; [8,2,5,0,9] ; [0,2,5,8,9] ; [5,2,0,8,9] ; [0,2,5,8,9] ; [2,0,5,8,9] ; [0,2,5,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 194+104 | d2:4+4+0=8→w8,c0 ; d1:9+0+0=9→w9,c0 ; d0:1+1+0=2→w2,c0 ; sum=298 |
list_summation | list_summation:left-to-right | 2, 4, 3, 4 | 2+4=6 ; 6+3=9 ; 9+4=13 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 3, 4, 6 | [2,5,3,4,6] ; [2,3,5,4,6] ; [2,3,4,5,6] ; [2,3,4,5,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 8, 4, 5 | [1,7,8,4,5] ; [1,7,4,8,5] ; [1,7,4,5,8] ; [1,4,7,5,8] ; [1,4,5,7,8] |
base_conversion | base_conversion:repeated-division | n=190,base=4 | DIV:190/4=47,r:2 ; DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2332 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) |
list_summation | list_summation:left-to-right | 7, 1, 8, 6 | 7+1=8 ; 8+8=16 ; 16+6=22 |
multidigit_addition | multidigit_addition:left-to-right-partials | 539+921 | p100:500+900=1400 ; p10:30+20=50 ; p1:9+1=10 ; sum=1400+50+10=1460 |
base_conversion | base_conversion:decomposition | n=124,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1111100 |
base_conversion | base_conversion:repeated-division | n=131,base=2 | DIV:131/2=65,r:1 ; DIV:65/2=32,r:1 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; 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:10000011 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=8 | 4x+24=8 ; x+6=2 ; x=2-6 ; x=-4 |
list_summation | list_summation:left-to-right | 9, 4, 7, 7 | 9+4=13 ; 13+7=20 ; 20+7=27 |
list_summation | list_summation:left-to-right | 8, 1, 1, 6 | 8+1=9 ; 9+1=10 ; 10+6=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 6, 3, 1 | [0,8,6,3,1] ; [0,1,6,3,8] ; [0,1,3,6,8] ; [0,1,3,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 3, 7, 4, 6 | [1,3,7,4,6] ; [1,3,7,4,6] ; [1,3,4,7,6] ; [1,3,4,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 9, 7, 5 | [1,8,7,9,5] ; [1,7,8,9,5] ; [1,5,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 0, 4, 8, 6 | [0,9,4,8,6] ; [0,4,9,8,6] ; [0,4,6,8,9] ; [0,4,6,8,9] |
list_summation | list_summation:pairwise | 2, 9, 9, 3 | 2+9=11 ; 9+3=12 ; 11+12=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 614+579 | p100:600+500=1100 ; p10:10+70=80 ; p1:4+9=13 ; sum=1100+80+13=1193 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 6, 8, 0 | [0,9,6,8,2] ; [0,2,6,8,9] ; [0,2,6,8,9] ; [0,2,6,8,9] |
base_conversion | base_conversion:decomposition | n=162,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:242 |
multidigit_addition | multidigit_addition:left-to-right-partials | 718+434 | p100:700+400=1100 ; p10:10+30=40 ; p1:8+4=12 ; sum=1100+40+12=1152 |
multidigit_addition | multidigit_addition:rounding-decomposition | 647+203 | round:650+203=853 ; adjust:853-3=850 ; sum=850 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 9, 7, 0, 5 | [6,9,7,0,5] ; [6,7,9,0,5] ; [0,6,7,9,5] ; [0,5,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 1, 2, 3 | [4,5,1,2,3] ; [1,4,5,2,3] ; [1,2,4,5,3] ; [1,2,3,4,5] |
multidigit_addition | multidigit_addition:right-to-left-carry | 466+734 | d2:6+4+0=10→w0,c1 ; d1:6+3+1=10→w0,c1 ; d0:4+7+1=12→w2,c1 ; sum=1200 |
list_summation | list_summation:left-to-right | 0, 8, 1, 2 | 0+8=8 ; 8+1=9 ; 9+2=11 |
base_conversion | base_conversion:repeated-division | n=160,base=2 | DIV:160/2=80,r:0 ; DIV:80/2=40,r:0 ; DIV:40/2=20,r:0 ; 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:10100000 |
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:right-to-left | 4, 3, 4, 3 | 4+3=7 ; 3+7=10 ; 4+10=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
multidigit_addition | multidigit_addition:left-to-right-partials | 352+756 | p100:300+700=1000 ; p10:50+50=100 ; p1:2+6=8 ; sum=1000+100+8=1108 |
base_conversion | base_conversion:decomposition | n=110,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1101110 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 992+568 | p100:900+500=1400 ; p10:90+60=150 ; p1:2+8=10 ; sum=1400+150+10=1560 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 8, 0, 3, 6 | [4,0,8,3,6] ; [4,0,3,8,6] ; [4,0,3,6,8] ; [0,4,3,6,8] ; [0,3,4,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 107+378 | d2:7+8+0=15→w5,c1 ; d1:0+7+1=8→w8,c0 ; d0:1+3+0=4→w4,c0 ; sum=485 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 1, 3, 5 | [0,1,3,4,5] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=217,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3121 |
list_summation | list_summation:pairwise | 0, 2, 4, 5 | 0+2=2 ; 4+5=9 ; 2+9=11 |
list_summation | list_summation:right-to-left | 9, 4, 2, 7 | 2+7=9 ; 4+9=13 ; 9+13=22 |
list_summation | list_summation:pairwise | 7, 3, 8, 7 | 7+3=10 ; 8+7=15 ; 10+15=25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 872+787 | round:880+787=1667 ; adjust:1667-8=1659 ; sum=1659 |
multidigit_addition | multidigit_addition:right-to-left-carry | 504+498 | d2:4+8+0=12→w2,c1 ; d1:0+9+1=10→w0,c1 ; d0:5+4+1=10→w0,c1 ; sum=1002 |
multidigit_addition | multidigit_addition:right-to-left-carry | 314+618 | d2:4+8+0=12→w2,c1 ; d1:1+1+1=3→w3,c0 ; d0:3+6+0=9→w9,c0 ; sum=932 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=81,base=16 | TERM:5*16^1=80 ; TERM:1*16^0=1 ; OUT:51 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=75 | 5x+30=75 ; x+6=15 ; x=15-6 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 1, 7, 2, 3 | [1,5,7,2,3] ; [1,5,2,7,3] ; [1,2,5,7,3] ; [1,2,3,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=-9 | 3x+3=-9 ; x=(-9-3)/3 ; x=-12/3 ; x=-4 |
list_summation | list_summation:left-to-right | 1, 5, 1, 9 | 1+5=6 ; 6+1=7 ; 7+9=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 2, 4, 3, 6 | [0,2,3,4,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-42=-70 | 7x-42=-70 ; x=(-70--42)/7 ; x=-28/7 ; x=-4 |
base_conversion | base_conversion:via-binary | n=211,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11010011 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=235,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:3*8^0=3 ; OUT:353 |
multidigit_addition | multidigit_addition:left-to-right-partials | 873+788 | p100:800+700=1500 ; p10:70+80=150 ; p1:3+8=11 ; sum=1500+150+11=1661 |
multidigit_addition | multidigit_addition:left-to-right-partials | 740+253 | p100:700+200=900 ; p10:40+50=90 ; p1:0+3=3 ; sum=900+90+3=993 |
base_conversion | base_conversion:via-binary | n=162,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10100010 |
list_summation | list_summation:right-to-left | 5, 5, 6, 3 | 6+3=9 ; 5+9=14 ; 5+14=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 6, 2, 3, 5 | 6+2=8 ; 8+3=11 ; 11+5=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 557+657 | round:560+657=1217 ; adjust:1217-3=1214 ; sum=1214 |
multidigit_addition | multidigit_addition:left-to-right-partials | 697+752 | p100:600+700=1300 ; p10:90+50=140 ; p1:7+2=9 ; sum=1300+140+9=1449 |
base_conversion | base_conversion:decomposition | n=34,base=16 | TERM:2*16^1=32 ; TERM:2*16^0=2 ; OUT:22 |
list_summation | list_summation:pairwise | 8, 7, 7, 6 | 8+7=15 ; 7+6=13 ; 15+13=28 |
multidigit_addition | multidigit_addition:rounding-decomposition | 698+448 | round:700+448=1148 ; adjust:1148-2=1146 ; sum=1146 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 1, 4, 6 | [3,6,1,4,5] ; [6,3,1,4,5] ; [6,5,1,4,3] ; [3,5,1,4,6] ; [5,3,1,4,6] ; [5,4,1,3,6] ; [3,4,1,5,6] ; [4,3,1,5,6] ; [1,3,4,5,6] ; [3,1,4,5,6] ; [1,3,4,5,6] |
base_conversion | base_conversion:repeated-division | n=171,base=16 | DIV:171/16=10,r:11 ; DIV:10/16=0,r:10 ; OUT:AB |
multidigit_addition | multidigit_addition:right-to-left-carry | 729+194 | d2:9+4+0=13→w3,c1 ; d1:2+9+1=12→w2,c1 ; d0:7+1+1=9→w9,c0 ; sum=923 |
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