task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 618+631 | p100:600+600=1200 ; p10:10+30=40 ; p1:8+1=9 ; sum=1200+40+9=1249 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 8, 9, 5 | [4,7,8,5,9] ; [4,7,5,8,9] ; [4,5,7,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 2, 3, 4 | [5,8,2,3,4] ; [2,5,8,3,4] ; [2,3,5,8,4] ; [2,3,4,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 696+212 | round:700+212=912 ; adjust:912-4=908 ; sum=908 |
multidigit_addition | multidigit_addition:left-to-right-partials | 195+868 | p100:100+800=900 ; p10:90+60=150 ; p1:5+8=13 ; sum=900+150+13=1063 |
list_summation | list_summation:pairwise | 4, 2, 2, 8 | 4+2=6 ; 2+8=10 ; 6+10=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 578+557 | d2:8+7+0=15→w5,c1 ; d1:7+5+1=13→w3,c1 ; d0:5+5+1=11→w1,c1 ; sum=1135 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 3, 0, 1 | [0,6,3,5,1] ; [0,1,3,5,6] ; [0,1,3,5,6] ; [0,1,3,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=80 | 8x+48=80 ; x+6=10 ; x=10-6 ; x=4 |
base_conversion | base_conversion:decomposition | n=71,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:7*8^0=7 ; OUT:107 |
base_conversion | base_conversion:via-binary | n=13,base=16 | BINLEN:4 ; CHUNK:0:13 ; OUT:D |
base_conversion | base_conversion:decomposition | n=170,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10101010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 7, 0, 9 | [1,7,8,0,9] ; [1,7,0,8,9] ; [1,0,7,8,9] ; [0,1,7,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 5, 1, 7 | [3,9,5,1,7] ; [3,5,9,1,7] ; [1,3,5,9,7] ; [1,3,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=-40 | 4x-36=-40 ; x+-9=-10 ; x=-10--9 ; x=-1 |
list_summation | list_summation:left-to-right | 4, 3, 9, 8 | 4+3=7 ; 7+9=16 ; 16+8=24 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 3, 0, 1 | [0,4,3,8,1] ; [0,1,3,8,4] ; [0,1,3,8,4] ; [0,1,3,4,8] |
list_summation | list_summation:right-to-left | 0, 3, 0, 5 | 0+5=5 ; 3+5=8 ; 0+8=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 256+643 | d2:6+3+0=9→w9,c0 ; d1:5+4+0=9→w9,c0 ; d0:2+6+0=8→w8,c0 ; sum=899 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=55 | 5x+40=55 ; x+8=11 ; x=11-8 ; x=3 |
list_summation | list_summation:left-to-right | 7, 7, 5, 8 | 7+7=14 ; 14+5=19 ; 19+8=27 |
multidigit_addition | multidigit_addition:rounding-decomposition | 858+904 | round:860+904=1764 ; adjust:1764-2=1762 ; sum=1762 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=28 | 4x+0=28 ; x+0=7 ; x=7-0 ; x=7 |
list_summation | list_summation:left-to-right | 3, 5, 9, 4 | 3+5=8 ; 8+9=17 ; 17+4=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=26 | 2x+14=26 ; 2x=12 ; x=6 |
base_conversion | base_conversion:repeated-division | n=124,base=4 | DIV:124/4=31,r:0 ; DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1330 |
multidigit_addition | multidigit_addition:rounding-decomposition | 516+345 | round:520+345=865 ; adjust:865-4=861 ; sum=861 |
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:insertion-sort | 6, 7, 0, 9, 5 | [6,7,0,9,5] ; [0,6,7,9,5] ; [0,6,7,9,5] ; [0,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=-28 | 4x+0=-28 ; x+0=-7 ; x=-7-0 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
base_conversion | base_conversion:via-binary | n=92,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1011100 |
base_conversion | base_conversion:via-binary | n=170,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10101010 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-36=-24 | 6x-36=-24 ; x=(-24--36)/6 ; x=12/6 ; x=2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 5, 3, 7 | [0,6,5,3,7] ; [0,5,6,3,7] ; [0,3,5,6,7] ; [0,3,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-25=-70 | 5x-25=-70 ; x=(-70--25)/5 ; x=-45/5 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 267+181 | p100:200+100=300 ; p10:60+80=140 ; p1:7+1=8 ; sum=300+140+8=448 |
base_conversion | base_conversion:decomposition | n=194,base=16 | TERM:12*16^1=192 ; TERM:2*16^0=2 ; OUT:C2 |
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) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 0, 9, 4 | [5,7,0,9,4] ; [0,5,7,9,4] ; [0,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-32=-44 | 4x-32=-44 ; x+-8=-11 ; x=-11--8 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 105+812 | p100:100+800=900 ; p10:0+10=10 ; p1:5+2=7 ; sum=900+10+7=917 |
base_conversion | base_conversion:decomposition | n=205,base=2 | TERM:1*2^7=128 ; 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:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11001101 |
list_summation | list_summation:left-to-right | 5, 3, 7, 3 | 5+3=8 ; 8+7=15 ; 15+3=18 |
base_conversion | base_conversion:decomposition | n=149,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:225 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 0, 4, 6 | [0,1,4,7,6] ; [0,1,4,6,7] |
base_conversion | base_conversion:decomposition | n=105,base=2 | TERM:1*2^6=64 ; 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:1*2^0=1 ; OUT:1101001 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 590+833 | d2:0+3+0=3→w3,c0 ; d1:9+3+0=12→w2,c1 ; d0:5+8+1=14→w4,c1 ; sum=1423 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=-15 | 3x+0=-15 ; 3x=-15 ; x=-5 |
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) |
list_summation | list_summation:pairwise | 4, 2, 6, 7 | 4+2=6 ; 6+7=13 ; 6+13=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 0, 9, 1 | [2,5,0,9,1] ; [0,2,5,9,1] ; [0,1,2,5,9] |
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:pairwise | 6, 2, 5, 4 | 6+2=8 ; 5+4=9 ; 8+9=17 |
list_summation | list_summation:left-to-right | 3, 3, 1, 9 | 3+3=6 ; 6+1=7 ; 7+9=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 6, 0, 1 | [0,7,6,3,1] ; [0,1,6,3,7] ; [0,1,3,6,7] ; [0,1,3,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 4, 1, 7 | [0,2,4,1,7] ; [0,2,1,4,7] ; [0,1,2,4,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 7, 2, 4 | [5,9,2,7,4] ; [2,5,7,9,4] ; [2,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=9 | 9x+36=9 ; x+4=1 ; x=1-4 ; x=-3 |
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 | 518+222 | p100:500+200=700 ; p10:10+20=30 ; p1:8+2=10 ; sum=700+30+10=740 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 8, 1, 6 | [0,7,1,8,6] ; [0,1,7,8,6] ; [0,1,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=16 | 2x+12=16 ; x+6=8 ; x=8-6 ; x=2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 184+424 | round:190+424=614 ; adjust:614-6=608 ; sum=608 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 2, 4, 8, 7 | [1,2,4,8,7] ; [1,2,4,8,7] ; [1,2,4,8,7] ; [1,2,4,7,8] |
base_conversion | base_conversion:via-binary | n=79,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:15 ; OUT:4F |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 4, 1, 8, 5 | 8+5=13 ; 1+13=14 ; 4+14=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=20 | 4x+8=20 ; 4x=12 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 110+317 | round:110+317=427 ; adjust:427-0=427 ; sum=427 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-8 | 4x-32=-8 ; x=(-8--32)/4 ; x=24/4 ; x=6 |
list_summation | list_summation:pairwise | 4, 7, 4, 8 | 4+7=11 ; 4+8=12 ; 11+12=23 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 7, 9, 5 | [4,8,7,9,5] ; [4,5,7,9,8] ; [4,5,7,9,8] ; [4,5,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=15 | 5x-5=15 ; x+-1=3 ; x=3--1 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+4=-2 | 2x+4=-2 ; 2x=-6 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 1, 2, 8 | [6,8,1,2,3] ; [8,6,1,2,3] ; [3,6,1,2,8] ; [6,3,1,2,8] ; [2,3,1,6,8] ; [3,2,1,6,8] ; [1,2,3,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=-84 | 7x-28=-84 ; 7x=-56 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-63=-70 | 7x-63=-70 ; x+-9=-10 ; x=-10--9 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=-20 | 2x-6=-20 ; 2x=-14 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=-56 | 8x+8=-56 ; 8x=-64 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=9 | 9x+54=9 ; 9x=-45 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=80 | 8x+8=80 ; x+1=10 ; x=10-1 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 5, 3, 7 | [2,8,3,5,7] ; [2,3,5,8,7] ; [2,3,5,7,8] |
list_summation | list_summation:right-to-left | 5, 9, 5, 4 | 5+4=9 ; 9+9=18 ; 5+18=23 |
list_summation | list_summation:right-to-left | 8, 8, 4, 3 | 4+3=7 ; 8+7=15 ; 8+15=23 |
base_conversion | base_conversion:decomposition | n=67,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:1003 |
multidigit_addition | multidigit_addition:right-to-left-carry | 401+807 | d2:1+7+0=8→w8,c0 ; d1:0+0+0=0→w0,c0 ; d0:4+8+0=12→w2,c1 ; sum=1208 |
base_conversion | base_conversion:decomposition | n=92,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1130 |
list_summation | list_summation:left-to-right | 0, 1, 8, 8 | 0+1=1 ; 1+8=9 ; 9+8=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=12 | 6x-42=12 ; x+-7=2 ; x=2--7 ; x=9 |
base_conversion | base_conversion:repeated-division | n=83,base=8 | DIV:83/8=10,r:3 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:123 |
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