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=80,base=4 | DIV:80/4=20,r:0 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1100 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 7, 6, 5 | [3,9,6,7,5] ; [3,6,7,9,5] ; [3,5,6,7,9] |
base_conversion | base_conversion:via-binary | n=166,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:2212 |
list_summation | list_summation:pairwise | 7, 4, 2, 9 | 7+4=11 ; 2+9=11 ; 11+11=22 |
base_conversion | base_conversion:repeated-division | n=187,base=2 | DIV:187/2=93,r:1 ; DIV:93/2=46,r:1 ; DIV:46/2=23,r:0 ; 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:10111011 |
list_summation | list_summation:left-to-right | 1, 2, 8, 2 | 1+2=3 ; 3+8=11 ; 11+2=13 |
base_conversion | base_conversion:via-binary | n=76,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:12 ; OUT:4C |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=24 | 8x+0=24 ; x=(24-0)/8 ; x=24/8 ; x=3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 8, 0, 6, 8 | 8+0=8 ; 6+8=14 ; 8+14=22 |
list_summation | list_summation:right-to-left | 8, 2, 8, 0 | 8+0=8 ; 2+8=10 ; 8+10=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 8, 5, 7, 4 | [4,8,5,7,6] ; [4,5,8,7,6] ; [4,5,6,7,8] ; [4,5,6,7,8] |
base_conversion | base_conversion:via-binary | n=242,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11110010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 240+567 | round:240+567=807 ; adjust:807-0=807 ; sum=807 |
base_conversion | base_conversion:decomposition | n=143,base=16 | TERM:8*16^1=128 ; TERM:15*16^0=15 ; OUT:8F |
base_conversion | base_conversion:repeated-division | n=211,base=4 | DIV:211/4=52,r:3 ; DIV:52/4=13,r:0 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3103 |
base_conversion | base_conversion:via-binary | n=213,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:5 ; OUT:325 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=-48 | 6x-42=-48 ; x+-7=-8 ; x=-8--7 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 6, 9, 4 | [0,7,6,9,4] ; [0,6,7,9,4] ; [0,6,7,9,4] ; [0,4,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 882+858 | p100:800+800=1600 ; p10:80+50=130 ; p1:2+8=10 ; sum=1600+130+10=1740 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-12 | 2x-8=-12 ; x+-4=-6 ; x=-6--4 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=27,base=8 | DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:33 |
list_summation | list_summation:pairwise | 7, 1, 6, 5 | 7+1=8 ; 6+5=11 ; 8+11=19 |
list_summation | list_summation:right-to-left | 7, 8, 5, 0 | 5+0=5 ; 8+5=13 ; 7+13=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 291+186 | d2:1+6+0=7→w7,c0 ; d1:9+8+0=17→w7,c1 ; d0:2+1+1=4→w4,c0 ; sum=477 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 4, 5, 3 | [7,4,8,5,3] ; [7,4,5,8,3] ; [7,4,5,3,8] ; [4,7,5,3,8] ; [4,5,7,3,8] ; [4,5,3,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 6, 9, 3 | [2,7,6,9,3] ; [2,6,7,9,3] ; [2,6,7,3,9] ; [2,6,3,7,9] ; [2,3,6,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 1, 4, 2, 9 | [0,9,4,2,1] ; [9,0,4,2,1] ; [9,2,4,0,1] ; [1,2,4,0,9] ; [4,2,1,0,9] ; [0,2,1,4,9] ; [2,0,1,4,9] ; [1,0,2,4,9] ; [0,1,2,4,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 392+418 | p100:300+400=700 ; p10:90+10=100 ; p1:2+8=10 ; sum=700+100+10=810 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 7, 0, 8, 1 | [0,7,6,8,1] ; [0,1,6,8,7] ; [0,1,6,8,7] ; [0,1,6,7,8] |
base_conversion | base_conversion:decomposition | n=201,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:1*8^0=1 ; OUT:311 |
multidigit_addition | multidigit_addition:rounding-decomposition | 287+621 | round:290+621=911 ; adjust:911-3=908 ; sum=908 |
base_conversion | base_conversion:decomposition | n=240,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11110000 |
base_conversion | base_conversion:decomposition | n=46,base=2 | 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:101110 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=54 | 9x+45=54 ; 9x=9 ; x=1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 3, 1, 9, 5 | [2,3,1,9,5] ; [1,2,3,9,5] ; [1,2,3,9,5] ; [1,2,3,5,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 8, 2, 6 | [1,3,2,8,6] ; [1,3,2,6,8] ; [1,2,3,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=-63 | 7x-7=-63 ; x+-1=-9 ; x=-9--1 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 791+759 | p100:700+700=1400 ; p10:90+50=140 ; p1:1+9=10 ; sum=1400+140+10=1550 |
multidigit_addition | multidigit_addition:right-to-left-carry | 755+165 | d2:5+5+0=10→w0,c1 ; d1:5+6+1=12→w2,c1 ; d0:7+1+1=9→w9,c0 ; sum=920 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,3) | D:(4,1) ; R:(4,2) ; R:(4,3) |
list_summation | list_summation:pairwise | 4, 4, 5, 1 | 4+4=8 ; 5+1=6 ; 8+6=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=75 | 5x+35=75 ; 5x=40 ; x=8 |
list_summation | list_summation:pairwise | 3, 9, 5, 4 | 3+9=12 ; 5+4=9 ; 12+9=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 5, 3, 1 | [2,9,5,3,1] ; [2,5,9,3,1] ; [2,3,5,9,1] ; [1,2,3,5,9] |
list_summation | list_summation:right-to-left | 0, 2, 0, 4 | 0+4=4 ; 2+4=6 ; 0+6=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 181+206 | p100:100+200=300 ; p10:80+0=80 ; p1:1+6=7 ; sum=300+80+7=387 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 9, 4, 1, 6 | [9,0,4,1,6] ; [9,6,4,1,0] ; [0,6,4,1,9] ; [6,0,4,1,9] ; [6,1,4,0,9] ; [0,1,4,6,9] ; [4,1,0,6,9] ; [0,1,4,6,9] ; [1,0,4,6,9] ; [0,1,4,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 5, 3, 8 | [4,5,7,3,8] ; [4,5,3,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=81,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:1101 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 8, 9, 5 | [2,3,8,9,5] ; [2,3,8,9,5] ; [2,3,5,9,8] ; [2,3,5,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 4, 6, 0 | [0,8,4,6,7] ; [0,4,8,6,7] ; [0,4,6,8,7] ; [0,4,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
base_conversion | base_conversion:via-binary | n=90,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:1122 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 575+956 | d2:5+6+0=11→w1,c1 ; d1:7+5+1=13→w3,c1 ; d0:5+9+1=15→w5,c1 ; sum=1531 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=-6 | 6x-18=-6 ; x+-3=-1 ; x=-1--3 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 716+452 | p100:700+400=1100 ; p10:10+50=60 ; p1:6+2=8 ; sum=1100+60+8=1168 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 3, 1, 9 | [4,3,5,1,9] ; [4,3,1,5,9] ; [3,4,1,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 2, 6, 5 | [0,8,2,6,5] ; [0,2,8,6,5] ; [0,2,5,6,8] ; [0,2,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 4, 6, 9 | [1,8,4,6,9] ; [1,4,8,6,9] ; [1,4,6,8,9] ; [1,4,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=51 | 3x+24=51 ; 3x=27 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 3, 2, 9 | [1,8,3,2,9] ; [1,3,8,2,9] ; [1,2,3,8,9] ; [1,2,3,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
base_conversion | base_conversion:repeated-division | n=228,base=8 | DIV:228/8=28,r:4 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:344 |
multidigit_addition | multidigit_addition:rounding-decomposition | 605+965 | round:610+965=1575 ; adjust:1575-5=1570 ; sum=1570 |
base_conversion | base_conversion:repeated-division | n=222,base=2 | DIV:222/2=111,r:0 ; DIV:111/2=55,r:1 ; DIV:55/2=27,r:1 ; 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:11011110 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 6, 7, 8 | [3,9,6,7,8] ; [3,6,9,7,8] ; [3,6,7,9,8] ; [3,6,7,8,9] |
list_summation | list_summation:right-to-left | 0, 3, 2, 9 | 2+9=11 ; 3+11=14 ; 0+14=14 |
base_conversion | base_conversion:via-binary | n=72,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:110 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 3, 9, 5 | [1,9,3,4,5] ; [9,1,3,4,5] ; [9,5,3,4,1] ; [1,5,3,4,9] ; [5,1,3,4,9] ; [5,4,3,1,9] ; [1,4,3,5,9] ; [4,1,3,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 739+251 | p100:700+200=900 ; p10:30+50=80 ; p1:9+1=10 ; sum=900+80+10=990 |
list_summation | list_summation:pairwise | 5, 5, 0, 8 | 5+5=10 ; 0+8=8 ; 10+8=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-28=-35 | 7x-28=-35 ; x=(-35--28)/7 ; x=-7/7 ; x=-1 |
list_summation | list_summation:right-to-left | 2, 8, 2, 3 | 2+3=5 ; 8+5=13 ; 2+13=15 |
list_summation | list_summation:pairwise | 9, 8, 6, 1 | 9+8=17 ; 6+1=7 ; 17+7=24 |
base_conversion | base_conversion:via-binary | n=117,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1110101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-78 | 6x-54=-78 ; 6x=-24 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+5=-5 | 5x+5=-5 ; x+1=-1 ; x=-1-1 ; x=-2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 724+763 | p100:700+700=1400 ; p10:20+60=80 ; p1:4+3=7 ; sum=1400+80+7=1487 |
base_conversion | base_conversion:via-binary | n=112,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:0 ; OUT:160 |
base_conversion | base_conversion:decomposition | n=40,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:101000 |
multidigit_addition | multidigit_addition:left-to-right-partials | 600+147 | p100:600+100=700 ; p10:0+40=40 ; p1:0+7=7 ; sum=700+40+7=747 |
multidigit_addition | multidigit_addition:left-to-right-partials | 714+711 | p100:700+700=1400 ; p10:10+10=20 ; p1:4+1=5 ; sum=1400+20+5=1425 |
base_conversion | base_conversion:decomposition | n=65,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:1*8^0=1 ; OUT:101 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 1, 3, 4 | [4,6,1,3,9] ; [6,4,1,3,9] ; [3,4,1,6,9] ; [4,3,1,6,9] ; [1,3,4,6,9] ; [3,1,4,6,9] ; [1,3,4,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 230+615 | d2:0+5+0=5→w5,c0 ; d1:3+1+0=4→w4,c0 ; d0:2+6+0=8→w8,c0 ; sum=845 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(4,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 6, 1, 3, 8 | 6+1=7 ; 7+3=10 ; 10+8=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 457+437 | p100:400+400=800 ; p10:50+30=80 ; p1:7+7=14 ; sum=800+80+14=894 |
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=191,base=8 | DIV:191/8=23,r:7 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:277 |
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