task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-24=-24 | 6x-24=-24 ; x+-4=-4 ; x=-4--4 ; x=0 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 4, 1, 8, 0 | [4,6,1,8,0] ; [1,4,6,8,0] ; [0,1,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 529+798 | round:530+798=1328 ; adjust:1328-1=1327 ; sum=1327 |
multidigit_addition | multidigit_addition:rounding-decomposition | 956+905 | round:960+905=1865 ; adjust:1865-4=1861 ; sum=1861 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 5, 2, 9 | [1,9,5,2,8] ; [9,1,5,2,8] ; [9,8,5,2,1] ; [1,8,5,2,9] ; [8,1,5,2,9] ; [8,2,5,1,9] ; [1,2,5,8,9] ; [5,2,1,8,9] ; [1,2,5,8,9] ; [2,1,5,8,9] ; [1,2,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=80 | 8x+16=80 ; 8x=64 ; x=8 |
list_summation | list_summation:right-to-left | 6, 4, 0, 6 | 0+6=6 ; 4+6=10 ; 6+10=16 |
base_conversion | base_conversion:repeated-division | n=89,base=2 | DIV:89/2=44,r:1 ; DIV:44/2=22,r:0 ; 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:1011001 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=48 | 8x+24=48 ; 8x=24 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 4, 5, 8 | [1,3,4,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 748+458 | p100:700+400=1100 ; p10:40+50=90 ; p1:8+8=16 ; sum=1100+90+16=1206 |
multidigit_addition | multidigit_addition:left-to-right-partials | 969+126 | p100:900+100=1000 ; p10:60+20=80 ; p1:9+6=15 ; sum=1000+80+15=1095 |
base_conversion | base_conversion:via-binary | n=226,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:3202 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,5) | D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 3, 8, 7 | [2,8,3,1,7] ; [8,2,3,1,7] ; [8,7,3,1,2] ; [2,7,3,1,8] ; [7,2,3,1,8] ; [1,2,3,7,8] ; [3,2,1,7,8] ; [1,2,3,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 1, 5, 3 | [0,6,1,5,3] ; [0,1,6,5,3] ; [0,1,5,6,3] ; [0,1,5,3,6] ; [0,1,3,5,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 2, 3, 8 | [0,7,2,3,8] ; [0,2,7,3,8] ; [0,2,3,7,8] ; [0,2,3,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 640+830 | d2:0+0+0=0→w0,c0 ; d1:4+3+0=7→w7,c0 ; d0:6+8+0=14→w4,c1 ; sum=1470 |
multidigit_addition | multidigit_addition:right-to-left-carry | 265+357 | d2:5+7+0=12→w2,c1 ; d1:6+5+1=12→w2,c1 ; d0:2+3+1=6→w6,c0 ; sum=622 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-8=-20 | 4x-8=-20 ; 4x=-12 ; x=-3 |
base_conversion | base_conversion:via-binary | n=210,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:2 ; OUT:D2 |
base_conversion | base_conversion:decomposition | n=193,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11000001 |
list_summation | list_summation:pairwise | 7, 0, 4, 9 | 7+0=7 ; 4+9=13 ; 7+13=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 9, 5, 7 | [2,8,9,5,7] ; [2,5,9,8,7] ; [2,5,7,8,9] ; [2,5,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 4, 9, 3 | [6,9,4,5,3] ; [9,6,4,5,3] ; [3,6,4,5,9] ; [6,3,4,5,9] ; [6,5,4,3,9] ; [3,5,4,6,9] ; [5,3,4,6,9] ; [4,3,5,6,9] ; [3,4,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=9 | 3x+0=9 ; x=(9-0)/3 ; x=9/3 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 5, 6, 9 | [3,5,8,6,9] ; [3,5,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 128+922 | d2:8+2+0=10→w0,c1 ; d1:2+2+1=5→w5,c0 ; d0:1+9+0=10→w0,c1 ; sum=1050 |
multidigit_addition | multidigit_addition:left-to-right-partials | 684+840 | p100:600+800=1400 ; p10:80+40=120 ; p1:4+0=4 ; sum=1400+120+4=1524 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=27 | 3x+24=27 ; x+8=9 ; x=9-8 ; x=1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 8, 7, 2, 5 | [8,9,7,2,5] ; [8,7,9,2,5] ; [8,7,2,9,5] ; [8,7,2,5,9] ; [7,8,2,5,9] ; [7,2,8,5,9] ; [7,2,5,8,9] ; [2,7,5,8,9] ; [2,5,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 596+707 | round:600+707=1307 ; adjust:1307-4=1303 ; sum=1303 |
list_summation | list_summation:right-to-left | 2, 0, 6, 4 | 6+4=10 ; 0+10=10 ; 2+10=12 |
list_summation | list_summation:pairwise | 0, 6, 9, 6 | 0+6=6 ; 9+6=15 ; 6+15=21 |
list_summation | list_summation:pairwise | 0, 5, 0, 4 | 0+5=5 ; 0+4=4 ; 5+4=9 |
base_conversion | base_conversion:via-binary | n=2,base=4 | BINLEN:2 ; CHUNK:0:2 ; OUT:2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+64=0 | 8x+64=0 ; x+8=0 ; x=0-8 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-24=-64 | 8x-24=-64 ; 8x=-40 ; x=-5 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 3, 2, 8 | [1,8,3,2,6] ; [8,1,3,2,6] ; [8,6,3,2,1] ; [1,6,3,2,8] ; [6,1,3,2,8] ; [6,2,3,1,8] ; [1,2,3,6,8] ; [3,2,1,6,8] ; [1,2,3,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(1,5) | D:(1,3) ; R:(1,4) ; R:(1,5) |
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] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 2, 9, 3 | [5,2,8,9,3] ; [5,2,8,3,9] ; [2,5,8,3,9] ; [2,5,3,8,9] ; [2,3,5,8,9] |
base_conversion | base_conversion:repeated-division | n=145,base=4 | DIV:145/4=36,r:1 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 2, 3, 7 | [5,9,2,3,7] ; [5,2,9,3,7] ; [5,2,3,9,7] ; [5,2,3,7,9] ; [2,5,3,7,9] ; [2,3,5,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 0, 6, 5 | [0,1,6,7,5] ; [0,1,5,6,7] |
base_conversion | base_conversion:repeated-division | n=47,base=4 | DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:233 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,1) | D:(4,0) ; R:(4,1) |
list_summation | list_summation:left-to-right | 1, 9, 3, 2 | 1+9=10 ; 10+3=13 ; 13+2=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:decomposition | n=111,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1233 |
multidigit_addition | multidigit_addition:left-to-right-partials | 874+158 | p100:800+100=900 ; p10:70+50=120 ; p1:4+8=12 ; sum=900+120+12=1032 |
multidigit_addition | multidigit_addition:rounding-decomposition | 675+808 | round:680+808=1488 ; adjust:1488-5=1483 ; sum=1483 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 4, 8, 9 | [6,7,4,8,9] ; [4,6,7,8,9] ; [4,6,7,8,9] ; [4,6,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=0 | 6x-42=0 ; x+-7=0 ; x=0--7 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 703+792 | d2:3+2+0=5→w5,c0 ; d1:0+9+0=9→w9,c0 ; d0:7+7+0=14→w4,c1 ; sum=1495 |
multidigit_addition | multidigit_addition:rounding-decomposition | 233+418 | round:240+418=658 ; adjust:658-7=651 ; sum=651 |
base_conversion | base_conversion:decomposition | n=193,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:1*8^0=1 ; OUT:301 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 0, 7, 3 | [6,8,0,7,3] ; [0,6,7,8,3] ; [0,3,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 7, 0, 8 | [5,9,7,0,8] ; [5,7,9,0,8] ; [0,5,7,9,8] ; [0,5,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 6, 3, 8, 5 | [6,9,3,8,5] ; [3,6,8,9,5] ; [3,5,6,8,9] |
base_conversion | base_conversion:via-binary | n=21,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:5 ; OUT:15 |
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) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 6, 7, 5 | [1,4,6,7,5] ; [1,4,5,6,7] |
base_conversion | base_conversion:decomposition | n=230,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:346 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-54=-102 | 6x-54=-102 ; x+-9=-17 ; x=-17--9 ; x=-8 |
list_summation | list_summation:pairwise | 2, 1, 8, 3 | 2+1=3 ; 8+3=11 ; 3+11=14 |
base_conversion | base_conversion:repeated-division | n=6,base=4 | DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:12 |
base_conversion | base_conversion:decomposition | n=56,base=4 | TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:320 |
base_conversion | base_conversion:decomposition | n=39,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:100111 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+45=35 | 5x+45=35 ; x=(35-45)/5 ; x=-10/5 ; x=-2 |
list_summation | list_summation:right-to-left | 6, 3, 7, 2 | 7+2=9 ; 3+9=12 ; 6+12=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 4, 3, 8 | [2,9,3,4,8] ; [2,3,4,9,8] ; [2,3,4,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 4, 7, 6 | [0,4,9,7,6] ; [0,4,7,9,6] ; [0,4,7,6,9] ; [0,4,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 916+424 | round:920+424=1344 ; adjust:1344-4=1340 ; sum=1340 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=0 | 3x+15=0 ; x+5=0 ; x=0-5 ; x=-5 |
list_summation | list_summation:pairwise | 7, 6, 9, 0 | 7+6=13 ; 9+0=9 ; 13+9=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 4, 2, 1 | [0,4,8,2,1] ; [0,4,2,8,1] ; [0,4,2,1,8] ; [0,2,4,1,8] ; [0,2,1,4,8] ; [0,1,2,4,8] |
base_conversion | base_conversion:decomposition | n=92,base=16 | TERM:5*16^1=80 ; TERM:12*16^0=12 ; OUT:5C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=32 | 8x+56=32 ; 8x=-24 ; x=-3 |
base_conversion | base_conversion:decomposition | n=12,base=16 | TERM:12*16^0=12 ; OUT:C |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=-12 | 2x-6=-12 ; x+-3=-6 ; x=-6--3 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=64 | 8x-8=64 ; x=(64--8)/8 ; x=72/8 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=36 | 6x+42=36 ; x=(36-42)/6 ; x=-6/6 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 4, 6, 9, 3 | [2,4,6,3,9] ; [2,4,3,6,9] ; [2,3,4,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 9, 2, 8 | [3,6,2,9,8] ; [3,6,2,8,9] ; [3,2,6,8,9] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 3, 1, 4 | [7,9,3,1,4] ; [3,7,9,1,4] ; [1,3,7,9,4] ; [1,3,4,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 3, 8, 6 | [3,5,7,8,6] ; [3,5,6,7,8] |
list_summation | list_summation:left-to-right | 4, 9, 8, 9 | 4+9=13 ; 13+8=21 ; 21+9=30 |
multidigit_addition | multidigit_addition:right-to-left-carry | 279+689 | d2:9+9+0=18→w8,c1 ; d1:7+8+1=16→w6,c1 ; d0:2+6+1=9→w9,c0 ; sum=968 |
base_conversion | base_conversion:repeated-division | n=40,base=4 | DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:220 |
multidigit_addition | multidigit_addition:rounding-decomposition | 558+112 | round:560+112=672 ; adjust:672-2=670 ; sum=670 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=-2 | 2x+6=-2 ; x+3=-1 ; x=-1-3 ; x=-4 |
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