task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 902+979 | round:910+979=1889 ; adjust:1889-8=1881 ; sum=1881 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=55 | 5x+15=55 ; x=(55-15)/5 ; x=40/5 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+36=18 | 6x+36=18 ; x=(18-36)/6 ; x=-18/6 ; x=-3 |
list_summation | list_summation:pairwise | 8, 5, 4, 6 | 8+5=13 ; 4+6=10 ; 13+10=23 |
list_summation | list_summation:pairwise | 0, 6, 8, 1 | 0+6=6 ; 8+1=9 ; 6+9=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 7, 5, 9, 0 | 9+0=9 ; 5+9=14 ; 7+14=21 |
base_conversion | base_conversion:repeated-division | n=96,base=2 | DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100000 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=-48 | 6x+6=-48 ; x=(-48-6)/6 ; x=-54/6 ; x=-9 |
base_conversion | base_conversion:decomposition | n=225,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:1*8^0=1 ; OUT:341 |
list_summation | list_summation:left-to-right | 0, 8, 0, 0 | 0+8=8 ; 8+0=8 ; 8+0=8 |
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) |
base_conversion | base_conversion:via-binary | n=91,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1011011 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=9 | 3x+27=9 ; x=(9-27)/3 ; x=-18/3 ; x=-6 |
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) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 8, 3, 0 | [1,2,3,8,0] ; [1,2,3,0,8] ; [1,2,0,3,8] ; [1,0,2,3,8] ; [0,1,2,3,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=45 | 5x+40=45 ; 5x=5 ; x=1 |
list_summation | list_summation:right-to-left | 7, 1, 4, 5 | 4+5=9 ; 1+9=10 ; 7+10=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 5, 8, 2, 1 | [8,5,4,2,1] ; [1,5,4,2,8] ; [5,1,4,2,8] ; [5,2,4,1,8] ; [1,2,4,5,8] ; [4,2,1,5,8] ; [1,2,4,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8] |
list_summation | list_summation:left-to-right | 3, 0, 2, 9 | 3+0=3 ; 3+2=5 ; 5+9=14 |
base_conversion | base_conversion:decomposition | n=111,base=16 | TERM:6*16^1=96 ; TERM:15*16^0=15 ; OUT:6F |
multidigit_addition | multidigit_addition:rounding-decomposition | 348+483 | round:350+483=833 ; adjust:833-2=831 ; sum=831 |
base_conversion | base_conversion:via-binary | n=189,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:275 |
multidigit_addition | multidigit_addition:right-to-left-carry | 904+837 | d2:4+7+0=11→w1,c1 ; d1:0+3+1=4→w4,c0 ; d0:9+8+0=17→w7,c1 ; sum=1741 |
list_summation | list_summation:pairwise | 4, 0, 1, 7 | 4+0=4 ; 1+7=8 ; 4+8=12 |
list_summation | list_summation:left-to-right | 2, 7, 7, 1 | 2+7=9 ; 9+7=16 ; 16+1=17 |
base_conversion | base_conversion:via-binary | n=159,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:15 ; OUT:9F |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 3, 2, 6 | [0,3,5,2,6] ; [0,3,2,5,6] ; [0,2,3,5,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 0, 8, 9, 4 | [0,5,8,9,4] ; [0,5,8,4,9] ; [0,5,4,8,9] ; [0,4,5,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 8, 2, 6, 5 | [0,8,2,6,5] ; [0,2,8,6,5] ; [0,2,6,8,5] ; [0,2,5,6,8] |
list_summation | list_summation:left-to-right | 8, 2, 3, 7 | 8+2=10 ; 10+3=13 ; 13+7=20 |
base_conversion | base_conversion:repeated-division | n=15,base=8 | DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:17 |
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:selection-sort | 9, 2, 8, 6, 5 | [2,9,8,6,5] ; [2,5,8,6,9] ; [2,5,6,8,9] ; [2,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=136,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:8 ; OUT:88 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 8, 4, 2 | [0,5,4,8,2] ; [0,5,4,2,8] ; [0,4,5,2,8] ; [0,4,2,5,8] ; [0,2,4,5,8] |
list_summation | list_summation:left-to-right | 0, 3, 0, 2 | 0+3=3 ; 3+0=3 ; 3+2=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 142+813 | p100:100+800=900 ; p10:40+10=50 ; p1:2+3=5 ; sum=900+50+5=955 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 0, 1, 3 | [4,3,0,1,2] ; [2,3,0,1,4] ; [3,2,0,1,4] ; [1,2,0,3,4] ; [2,1,0,3,4] ; [0,1,2,3,4] ; [1,0,2,3,4] ; [0,1,2,3,4] |
base_conversion | base_conversion:repeated-division | n=195,base=16 | DIV:195/16=12,r:3 ; DIV:12/16=0,r:12 ; OUT:C3 |
base_conversion | base_conversion:repeated-division | n=128,base=8 | DIV:128/8=16,r:0 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:200 |
multidigit_addition | multidigit_addition:rounding-decomposition | 540+777 | round:540+777=1317 ; adjust:1317-0=1317 ; sum=1317 |
base_conversion | base_conversion:repeated-division | n=252,base=16 | DIV:252/16=15,r:12 ; DIV:15/16=0,r:15 ; OUT:FC |
list_summation | list_summation:left-to-right | 8, 8, 2, 0 | 8+8=16 ; 16+2=18 ; 18+0=18 |
list_summation | list_summation:left-to-right | 5, 9, 4, 6 | 5+9=14 ; 14+4=18 ; 18+6=24 |
base_conversion | base_conversion:decomposition | n=70,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1000110 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 6, 7, 8 | [3,9,6,7,8] ; [3,6,9,7,8] ; [3,6,7,9,8] ; [3,6,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 960+144 | p100:900+100=1000 ; p10:60+40=100 ; p1:0+4=4 ; sum=1000+100+4=1104 |
multidigit_addition | multidigit_addition:left-to-right-partials | 988+253 | p100:900+200=1100 ; p10:80+50=130 ; p1:8+3=11 ; sum=1100+130+11=1241 |
multidigit_addition | multidigit_addition:left-to-right-partials | 796+792 | p100:700+700=1400 ; p10:90+90=180 ; p1:6+2=8 ; sum=1400+180+8=1588 |
list_summation | list_summation:right-to-left | 2, 2, 1, 7 | 1+7=8 ; 2+8=10 ; 2+10=12 |
list_summation | list_summation:pairwise | 3, 0, 2, 5 | 3+0=3 ; 2+5=7 ; 3+7=10 |
multidigit_addition | multidigit_addition:right-to-left-carry | 563+405 | d2:3+5+0=8→w8,c0 ; d1:6+0+0=6→w6,c0 ; d0:5+4+0=9→w9,c0 ; sum=968 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 124+635 | d2:4+5+0=9→w9,c0 ; d1:2+3+0=5→w5,c0 ; d0:1+6+0=7→w7,c0 ; sum=759 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 1, 9, 3 | [2,5,1,9,3] ; [1,2,5,9,3] ; [1,2,5,9,3] ; [1,2,3,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 254+908 | d2:4+8+0=12→w2,c1 ; d1:5+0+1=6→w6,c0 ; d0:2+9+0=11→w1,c1 ; sum=1162 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 1, 6, 4 | [0,7,1,6,4] ; [0,1,7,6,4] ; [0,1,6,7,4] ; [0,1,4,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=-15 | 5x-5=-15 ; x=(-15--5)/5 ; x=-10/5 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=52,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:110100 |
multidigit_addition | multidigit_addition:rounding-decomposition | 925+931 | round:930+931=1861 ; adjust:1861-5=1856 ; sum=1856 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,2) | D:(4,1) ; D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 857+372 | p100:800+300=1100 ; p10:50+70=120 ; p1:7+2=9 ; sum=1100+120+9=1229 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-20 | 5x-45=-20 ; 5x=25 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 848+164 | d2:8+4+0=12→w2,c1 ; d1:4+6+1=11→w1,c1 ; d0:8+1+1=10→w0,c1 ; sum=1012 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=6 | 3x-21=6 ; 3x=27 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=-12 | 3x+15=-12 ; x=(-12-15)/3 ; x=-27/3 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 2, 4, 3, 7 | 3+7=10 ; 4+10=14 ; 2+14=16 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 1, 4, 8 | [3,7,1,4,8] ; [3,1,7,4,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
base_conversion | base_conversion:repeated-division | n=92,base=4 | DIV:92/4=23,r:0 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1130 |
multidigit_addition | multidigit_addition:right-to-left-carry | 895+948 | d2:5+8+0=13→w3,c1 ; d1:9+4+1=14→w4,c1 ; d0:8+9+1=18→w8,c1 ; sum=1843 |
list_summation | list_summation:right-to-left | 3, 4, 5, 1 | 5+1=6 ; 4+6=10 ; 3+10=13 |
list_summation | list_summation:pairwise | 0, 3, 2, 7 | 0+3=3 ; 2+7=9 ; 3+9=12 |
base_conversion | base_conversion:repeated-division | n=245,base=2 | DIV:245/2=122,r:1 ; DIV:122/2=61,r:0 ; DIV:61/2=30,r:1 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11110101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 296+761 | round:300+761=1061 ; adjust:1061-4=1057 ; sum=1057 |
multidigit_addition | multidigit_addition:right-to-left-carry | 159+882 | d2:9+2+0=11→w1,c1 ; d1:5+8+1=14→w4,c1 ; d0:1+8+1=10→w0,c1 ; sum=1041 |
base_conversion | base_conversion:via-binary | n=173,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10101101 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=27 | 9x-27=27 ; x+-3=3 ; x=3--3 ; x=6 |
base_conversion | base_conversion:via-binary | n=36,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:100100 |
base_conversion | base_conversion:decomposition | n=131,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:3*8^0=3 ; OUT:203 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=0 | 9x+9=0 ; x=(0-9)/9 ; x=-9/9 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 9, 0, 4, 5 | [6,9,0,4,5] ; [0,6,9,4,5] ; [0,4,6,9,5] ; [0,4,5,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-5 | 5x-5=-5 ; x+-1=-1 ; x=-1--1 ; x=0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=-2 | 2x+16=-2 ; x=(-2-16)/2 ; x=-18/2 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=121,base=2 | DIV:121/2=60,r:1 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111001 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=238,base=2 | TERM:1*2^7=128 ; 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:11101110 |
base_conversion | base_conversion:via-binary | n=109,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1101101 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=-108 | 9x-27=-108 ; x=(-108--27)/9 ; x=-81/9 ; x=-9 |
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