task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 4, 7, 5, 2 | 4+7=11 ; 5+2=7 ; 11+7=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-8 | 2x-16=-8 ; x+-8=-4 ; x=-4--8 ; x=4 |
list_summation | list_summation:left-to-right | 7, 7, 9, 6 | 7+7=14 ; 14+9=23 ; 23+6=29 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
base_conversion | base_conversion:via-binary | n=235,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:3 ; OUT:353 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=-35 | 5x-5=-35 ; x=(-35--5)/5 ; x=-30/5 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 119+843 | round:120+843=963 ; adjust:963-1=962 ; sum=962 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 7, 6, 8, 1 | 7+6=13 ; 13+8=21 ; 21+1=22 |
base_conversion | base_conversion:repeated-division | n=62,base=16 | DIV:62/16=3,r:14 ; DIV:3/16=0,r:3 ; OUT:3E |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=-72 | 9x+9=-72 ; x+1=-8 ; x=-8-1 ; x=-9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 9, 4, 2 | [1,7,4,9,2] ; [1,7,4,2,9] ; [1,4,7,2,9] ; [1,4,2,7,9] ; [1,2,4,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=-20 | 5x+25=-20 ; x=(-20-25)/5 ; x=-45/5 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,5) | D:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 2, 6, 0 | [7,9,2,6,0] ; [2,7,9,6,0] ; [2,6,7,9,0] ; [0,2,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
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) |
list_summation | list_summation:left-to-right | 0, 6, 3, 5 | 0+6=6 ; 6+3=9 ; 9+5=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 527+869 | round:530+869=1399 ; adjust:1399-3=1396 ; sum=1396 |
base_conversion | base_conversion:repeated-division | n=151,base=8 | DIV:151/8=18,r:7 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:227 |
multidigit_addition | multidigit_addition:left-to-right-partials | 820+574 | p100:800+500=1300 ; p10:20+70=90 ; p1:0+4=4 ; sum=1300+90+4=1394 |
multidigit_addition | multidigit_addition:rounding-decomposition | 288+330 | round:290+330=620 ; adjust:620-2=618 ; sum=618 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 9, 7, 8 | [2,6,9,7,8] ; [2,6,9,7,8] ; [2,6,7,9,8] ; [2,6,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 842+742 | d2:2+2+0=4→w4,c0 ; d1:4+4+0=8→w8,c0 ; d0:8+7+0=15→w5,c1 ; sum=1584 |
base_conversion | base_conversion:repeated-division | n=54,base=2 | DIV:54/2=27,r:0 ; 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:110110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 575+518 | p100:500+500=1000 ; p10:70+10=80 ; p1:5+8=13 ; sum=1000+80+13=1093 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 2, 5, 9, 0 | [0,2,5,9,7] ; [0,2,5,9,7] ; [0,2,5,9,7] ; [0,2,5,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) |
list_summation | list_summation:right-to-left | 4, 1, 8, 9 | 8+9=17 ; 1+17=18 ; 4+18=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=-9 | 3x+9=-9 ; x+3=-3 ; x=-3-3 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 265+915 | d2:5+5+0=10→w0,c1 ; d1:6+1+1=8→w8,c0 ; d0:2+9+0=11→w1,c1 ; sum=1180 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=77 | 7x+56=77 ; x=(77-56)/7 ; x=21/7 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 5, 9, 7, 0 | [1,7,9,5,0] ; [9,7,1,5,0] ; [0,7,1,5,9] ; [7,0,1,5,9] ; [7,5,1,0,9] ; [0,5,1,7,9] ; [5,0,1,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 812+898 | d2:2+8+0=10→w0,c1 ; d1:1+9+1=11→w1,c1 ; d0:8+8+1=17→w7,c1 ; sum=1710 |
base_conversion | base_conversion:via-binary | n=45,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:231 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
base_conversion | base_conversion:via-binary | n=238,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11101110 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 7, 2, 9 | [5,8,2,7,9] ; [2,5,7,8,9] |
list_summation | list_summation:left-to-right | 9, 4, 6, 8 | 9+4=13 ; 13+6=19 ; 19+8=27 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 9, 5, 6 | [1,8,9,5,6] ; [1,8,9,5,6] ; [1,5,8,9,6] ; [1,5,6,8,9] |
base_conversion | base_conversion:via-binary | n=155,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10011011 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
list_summation | list_summation:left-to-right | 8, 7, 7, 2 | 8+7=15 ; 15+7=22 ; 22+2=24 |
multidigit_addition | multidigit_addition:right-to-left-carry | 377+381 | d2:7+1+0=8→w8,c0 ; d1:7+8+0=15→w5,c1 ; d0:3+3+1=7→w7,c0 ; sum=758 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,3) | R:(1,2) ; D:(2,2) ; R:(2,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-12=-16 | 4x-12=-16 ; x+-3=-4 ; x=-4--3 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 221+264 | d2:1+4+0=5→w5,c0 ; d1:2+6+0=8→w8,c0 ; d0:2+2+0=4→w4,c0 ; sum=485 |
multidigit_addition | multidigit_addition:left-to-right-partials | 673+612 | p100:600+600=1200 ; p10:70+10=80 ; p1:3+2=5 ; sum=1200+80+5=1285 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=16 | 2x+12=16 ; x+6=8 ; x=8-6 ; x=2 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 0, 2, 7 | [6,8,0,2,7] ; [0,2,6,8,7] ; [0,2,6,7,8] |
list_summation | list_summation:left-to-right | 5, 9, 2, 0 | 5+9=14 ; 14+2=16 ; 16+0=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=0 | 3x+24=0 ; x=(0-24)/3 ; x=-24/3 ; x=-8 |
base_conversion | base_conversion:via-binary | n=84,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
list_summation | list_summation:right-to-left | 8, 1, 9, 2 | 9+2=11 ; 1+11=12 ; 8+12=20 |
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) |
list_summation | list_summation:pairwise | 4, 2, 9, 3 | 4+2=6 ; 9+3=12 ; 6+12=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-72 | 6x-48=-72 ; x+-8=-12 ; x=-12--8 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=8 | 8x-16=8 ; x=(8--16)/8 ; x=24/8 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 9, 2, 7 | [0,8,2,9,7] ; [0,8,2,7,9] ; [0,2,8,7,9] ; [0,2,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; D:(2,4) ; R:(2,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=16 | 8x+8=16 ; x+1=2 ; x=2-1 ; x=1 |
base_conversion | base_conversion:repeated-division | n=14,base=16 | DIV:14/16=0,r:14 ; OUT:E |
multidigit_addition | multidigit_addition:left-to-right-partials | 792+887 | p100:700+800=1500 ; p10:90+80=170 ; p1:2+7=9 ; sum=1500+170+9=1679 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=0 | 6x-48=0 ; x=(0--48)/6 ; x=48/6 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+27=51 | 3x+27=51 ; 3x=24 ; x=8 |
base_conversion | base_conversion:repeated-division | n=249,base=16 | DIV:249/16=15,r:9 ; DIV:15/16=0,r:15 ; OUT:F9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 6, 4, 2, 5 | [6,9,4,2,5] ; [6,4,9,2,5] ; [6,4,2,9,5] ; [6,4,2,5,9] ; [4,6,2,5,9] ; [4,2,6,5,9] ; [4,2,5,6,9] ; [2,4,5,6,9] |
base_conversion | base_conversion:via-binary | n=114,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1110010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 8, 7, 3 | [1,4,8,7,3] ; [1,4,8,7,3] ; [1,4,7,8,3] ; [1,3,4,7,8] |
base_conversion | base_conversion:decomposition | n=191,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10111111 |
list_summation | list_summation:left-to-right | 2, 3, 7, 7 | 2+3=5 ; 5+7=12 ; 12+7=19 |
base_conversion | base_conversion:decomposition | n=78,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:1001110 |
multidigit_addition | multidigit_addition:right-to-left-carry | 263+481 | d2:3+1+0=4→w4,c0 ; d1:6+8+0=14→w4,c1 ; d0:2+4+1=7→w7,c0 ; sum=744 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 4, 1, 5 | [0,7,4,1,5] ; [0,4,7,1,5] ; [0,1,4,7,5] ; [0,1,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 480+412 | round:480+412=892 ; adjust:892-0=892 ; sum=892 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+27=6 | 3x+27=6 ; 3x=-21 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-42 | 6x-54=-42 ; 6x=12 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 1, 6, 2 | [0,6,1,4,2] ; [6,0,1,4,2] ; [6,4,1,0,2] ; [2,4,1,0,6] ; [4,2,1,0,6] ; [0,2,1,4,6] ; [2,0,1,4,6] ; [1,0,2,4,6] ; [0,1,2,4,6] |
base_conversion | base_conversion:via-binary | n=30,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; OUT:11110 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 2, 6, 5 | [0,2,6,8,5] ; [0,2,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=6 | 2x-8=6 ; x=(6--8)/2 ; x=14/2 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 782+145 | d2:2+5+0=7→w7,c0 ; d1:8+4+0=12→w2,c1 ; d0:7+1+1=9→w9,c0 ; sum=927 |
base_conversion | base_conversion:via-binary | n=88,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:130 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 3, 7, 4, 8 | [2,3,7,4,8] ; [2,3,7,4,8] ; [2,3,4,7,8] ; [2,3,4,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 5, 9, 6, 8 | [1,8,9,6,5] ; [9,8,1,6,5] ; [5,8,1,6,9] ; [8,5,1,6,9] ; [8,6,1,5,9] ; [5,6,1,8,9] ; [6,5,1,8,9] ; [1,5,6,8,9] ; [5,1,6,8,9] ; [1,5,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 632+865 | p100:600+800=1400 ; p10:30+60=90 ; p1:2+5=7 ; sum=1400+90+7=1497 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 4, 5, 1 | [7,3,4,5,1] ; [7,5,4,3,1] ; [1,5,4,3,7] ; [5,1,4,3,7] ; [5,3,4,1,7] ; [1,3,4,5,7] ; [4,3,1,5,7] ; [1,3,4,5,7] ; [3,1,4,5,7] ; [1,3,4,5,7] |
list_summation | list_summation:pairwise | 9, 3, 5, 5 | 9+3=12 ; 5+5=10 ; 12+10=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 855+760 | round:860+760=1620 ; adjust:1620-5=1615 ; sum=1615 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 6, 4, 8 | [3,9,6,4,8] ; [3,6,9,4,8] ; [3,4,6,9,8] ; [3,4,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=-35 | 7x-14=-35 ; x=(-35--14)/7 ; x=-21/7 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-72=-144 | 8x-72=-144 ; x+-9=-18 ; x=-18--9 ; x=-9 |
list_summation | list_summation:right-to-left | 0, 2, 9, 1 | 9+1=10 ; 2+10=12 ; 0+12=12 |
base_conversion | base_conversion:decomposition | n=103,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:147 |
base_conversion | base_conversion:via-binary | n=210,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:322 |
multidigit_addition | multidigit_addition:rounding-decomposition | 528+424 | round:530+424=954 ; adjust:954-2=952 ; sum=952 |
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