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 | 664+983 | round:670+983=1653 ; adjust:1653-6=1647 ; sum=1647 |
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:repeated-division | n=245,base=4 | DIV:245/4=61,r:1 ; DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3311 |
multidigit_addition | multidigit_addition:right-to-left-carry | 336+572 | d2:6+2+0=8→w8,c0 ; d1:3+7+0=10→w0,c1 ; d0:3+5+1=9→w9,c0 ; sum=908 |
list_summation | list_summation:left-to-right | 4, 3, 4, 9 | 4+3=7 ; 7+4=11 ; 11+9=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 7, 9, 3 | [0,2,7,9,3] ; [0,2,7,9,3] ; [0,2,7,9,3] ; [0,2,3,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 3, 1, 9, 4 | [1,3,6,9,4] ; [1,3,6,9,4] ; [1,3,4,9,6] ; [1,3,4,6,9] |
list_summation | list_summation:right-to-left | 4, 9, 1, 8 | 1+8=9 ; 9+9=18 ; 4+18=22 |
list_summation | list_summation:left-to-right | 3, 0, 6, 2 | 3+0=3 ; 3+6=9 ; 9+2=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=25 | 5x+25=25 ; x=(25-25)/5 ; x=0/5 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=-4 | 4x+24=-4 ; 4x=-28 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+48=84 | 6x+48=84 ; 6x=36 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 443+517 | p100:400+500=900 ; p10:40+10=50 ; p1:3+7=10 ; sum=900+50+10=960 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=-18 | 9x+9=-18 ; x+1=-2 ; x=-2-1 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 4, 0, 6, 3 | 4+0=4 ; 6+3=9 ; 4+9=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 9, 7, 3 | [0,6,9,7,3] ; [0,6,7,9,3] ; [0,6,7,3,9] ; [0,6,3,7,9] ; [0,3,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 2, 9, 1, 8 | [0,2,9,1,8] ; [0,2,9,1,8] ; [0,1,2,9,8] ; [0,1,2,8,9] |
list_summation | list_summation:right-to-left | 2, 6, 0, 0 | 0+0=0 ; 6+0=6 ; 2+6=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-40=-56 | 8x-40=-56 ; x+-5=-7 ; x=-7--5 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 321+964 | p100:300+900=1200 ; p10:20+60=80 ; p1:1+4=5 ; sum=1200+80+5=1285 |
multidigit_addition | multidigit_addition:left-to-right-partials | 864+471 | p100:800+400=1200 ; p10:60+70=130 ; p1:4+1=5 ; sum=1200+130+5=1335 |
list_summation | list_summation:left-to-right | 2, 2, 4, 6 | 2+2=4 ; 4+4=8 ; 8+6=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+12=-16 | 4x+12=-16 ; 4x=-28 ; x=-7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 981+672 | p100:900+600=1500 ; p10:80+70=150 ; p1:1+2=3 ; sum=1500+150+3=1653 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-18 | 6x-30=-18 ; x+-5=-3 ; x=-3--5 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 329+351 | p100:300+300=600 ; p10:20+50=70 ; p1:9+1=10 ; sum=600+70+10=680 |
list_summation | list_summation:right-to-left | 3, 0, 4, 7 | 4+7=11 ; 0+11=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+18=-36 | 6x+18=-36 ; x+3=-6 ; x=-6-3 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-72=-32 | 8x-72=-32 ; 8x=40 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 7, 4, 1 | [2,9,7,4,1] ; [2,7,9,4,1] ; [2,4,7,9,1] ; [1,2,4,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 3, 2, 6 | [2,5,3,9,6] ; [2,3,5,9,6] ; [2,3,5,9,6] ; [2,3,5,6,9] |
base_conversion | base_conversion:decomposition | n=196,base=16 | TERM:12*16^1=192 ; TERM:4*16^0=4 ; OUT:C4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 794+827 | p100:700+800=1500 ; p10:90+20=110 ; p1:4+7=11 ; sum=1500+110+11=1621 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=97,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:1 ; OUT:61 |
multidigit_addition | multidigit_addition:rounding-decomposition | 173+621 | round:180+621=801 ; adjust:801-7=794 ; sum=794 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 4, 8, 7 | [2,3,4,8,7] ; [2,3,4,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 216+540 | p100:200+500=700 ; p10:10+40=50 ; p1:6+0=6 ; sum=700+50+6=756 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=36 | 9x-27=36 ; x+-3=4 ; x=4--3 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+8=18 | 2x+8=18 ; 2x=10 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=-35 | 7x+0=-35 ; x=(-35-0)/7 ; x=-35/7 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 192+465 | p100:100+400=500 ; p10:90+60=150 ; p1:2+5=7 ; sum=500+150+7=657 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 0, 1, 7, 2 | [0,3,1,7,2] ; [0,1,3,7,2] ; [0,1,3,2,7] ; [0,1,2,3,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-91 | 7x-49=-91 ; 7x=-42 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:decomposition | n=199,base=16 | TERM:12*16^1=192 ; TERM:7*16^0=7 ; OUT:C7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; R:(1,5) ; D:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 544+199 | p100:500+100=600 ; p10:40+90=130 ; p1:4+9=13 ; sum=600+130+13=743 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=28 | 4x+24=28 ; x+6=7 ; x=7-6 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 815+787 | p100:800+700=1500 ; p10:10+80=90 ; p1:5+7=12 ; sum=1500+90+12=1602 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 0, 6, 9 | [3,0,7,6,9] ; [3,0,6,7,9] ; [0,3,6,7,9] |
list_summation | list_summation:pairwise | 2, 8, 6, 9 | 2+8=10 ; 6+9=15 ; 10+15=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 8, 5, 4 | [7,5,8,3,4] ; [8,5,7,3,4] ; [4,5,7,3,8] ; [7,5,4,3,8] ; [3,5,4,7,8] ; [5,3,4,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8] |
list_summation | list_summation:left-to-right | 9, 3, 4, 3 | 9+3=12 ; 12+4=16 ; 16+3=19 |
list_summation | list_summation:right-to-left | 3, 7, 1, 4 | 1+4=5 ; 7+5=12 ; 3+12=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 745+222 | d2:5+2+0=7→w7,c0 ; d1:4+2+0=6→w6,c0 ; d0:7+2+0=9→w9,c0 ; sum=967 |
list_summation | list_summation:left-to-right | 0, 4, 2, 0 | 0+4=4 ; 4+2=6 ; 6+0=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 6, 6, 1, 9 | 6+6=12 ; 12+1=13 ; 13+9=22 |
base_conversion | base_conversion:decomposition | n=21,base=8 | TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:25 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 3, 4, 8 | [0,9,3,4,8] ; [0,3,9,4,8] ; [0,3,4,9,8] ; [0,3,4,8,9] |
list_summation | list_summation:right-to-left | 3, 3, 1, 4 | 1+4=5 ; 3+5=8 ; 3+8=11 |
list_summation | list_summation:right-to-left | 1, 3, 0, 1 | 0+1=1 ; 3+1=4 ; 1+4=5 |
base_conversion | base_conversion:via-binary | n=188,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10111100 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; R:(0,4) ; D:(1,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(3,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 0, 2, 3, 8 | [0,1,2,3,8] ; [0,1,2,3,8] ; [0,1,2,3,8] ; [0,1,2,3,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-40=-45 | 5x-40=-45 ; x=(-45--40)/5 ; x=-5/5 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 809+558 | d2:9+8+0=17→w7,c1 ; d1:0+5+1=6→w6,c0 ; d0:8+5+0=13→w3,c1 ; sum=1367 |
list_summation | list_summation:pairwise | 9, 0, 1, 5 | 9+0=9 ; 1+5=6 ; 9+6=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 8, 4, 2, 0 | [7,8,2,4,0] ; [2,4,7,8,0] ; [0,2,4,7,8] |
list_summation | list_summation:right-to-left | 1, 4, 0, 9 | 0+9=9 ; 4+9=13 ; 1+13=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=66 | 6x+54=66 ; x=(66-54)/6 ; x=12/6 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 6, 9, 4 | [5,9,6,7,4] ; [9,5,6,7,4] ; [9,7,6,5,4] ; [4,7,6,5,9] ; [7,4,6,5,9] ; [7,5,6,4,9] ; [4,5,6,7,9] ; [6,5,4,7,9] ; [4,5,6,7,9] ; [5,4,6,7,9] ; [4,5,6,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 5, 6, 8, 2 | [2,5,6,8,4] ; [2,4,6,8,5] ; [2,4,5,8,6] ; [2,4,5,6,8] |
list_summation | list_summation:left-to-right | 5, 0, 6, 4 | 5+0=5 ; 5+6=11 ; 11+4=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 942+315 | p100:900+300=1200 ; p10:40+10=50 ; p1:2+5=7 ; sum=1200+50+7=1257 |
multidigit_addition | multidigit_addition:left-to-right-partials | 251+875 | p100:200+800=1000 ; p10:50+70=120 ; p1:1+5=6 ; sum=1000+120+6=1126 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 8, 5, 6, 0 | [8,4,5,6,0] ; [8,6,5,4,0] ; [0,6,5,4,8] ; [6,0,5,4,8] ; [6,4,5,0,8] ; [0,4,5,6,8] ; [5,4,0,6,8] ; [0,4,5,6,8] ; [4,0,5,6,8] ; [0,4,5,6,8] |
base_conversion | base_conversion:via-binary | n=62,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:332 |
base_conversion | base_conversion:repeated-division | n=133,base=16 | DIV:133/16=8,r:5 ; DIV:8/16=0,r:8 ; OUT:85 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=-12 | 4x-20=-12 ; x+-5=-3 ; x=-3--5 ; x=2 |
base_conversion | base_conversion:decomposition | n=228,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3210 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=8 | 8x-56=8 ; x=(8--56)/8 ; x=64/8 ; x=8 |
list_summation | list_summation:pairwise | 1, 5, 1, 1 | 1+5=6 ; 1+1=2 ; 6+2=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:via-binary | n=65,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 280+463 | p100:200+400=600 ; p10:80+60=140 ; p1:0+3=3 ; sum=600+140+3=743 |
base_conversion | base_conversion:decomposition | n=137,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:2021 |
list_summation | list_summation:left-to-right | 5, 1, 9, 2 | 5+1=6 ; 6+9=15 ; 15+2=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 709+170 | round:710+170=880 ; adjust:880-1=879 ; sum=879 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 7, 1, 0 | [8,9,7,1,0] ; [7,8,9,1,0] ; [1,7,8,9,0] ; [0,1,7,8,9] |
base_conversion | base_conversion:decomposition | n=24,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11000 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
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