task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=209,base=16 | DIV:209/16=13,r:1 ; DIV:13/16=0,r:13 ; OUT:D1 |
base_conversion | base_conversion:decomposition | n=226,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11100010 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=24 | 8x+64=24 ; x=(24-64)/8 ; x=-40/8 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 0, 4, 7, 2 | [0,5,4,7,2] ; [0,4,5,7,2] ; [0,4,5,2,7] ; [0,4,2,5,7] ; [0,2,4,5,7] |
base_conversion | base_conversion:decomposition | n=211,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:3*8^0=3 ; OUT:323 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-72 | 8x-72=-72 ; x=(-72--72)/8 ; x=0/8 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 6, 4, 0, 9 | [0,6,4,1,9] ; [0,1,4,6,9] ; [0,1,4,6,9] ; [0,1,4,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 300+820 | d2:0+0+0=0→w0,c0 ; d1:0+2+0=2→w2,c0 ; d0:3+8+0=11→w1,c1 ; sum=1120 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=-24 | 8x-32=-24 ; x+-4=-3 ; x=-3--4 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-54=-99 | 9x-54=-99 ; x+-6=-11 ; x=-11--6 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 142+572 | d2:2+2+0=4→w4,c0 ; d1:4+7+0=11→w1,c1 ; d0:1+5+1=7→w7,c0 ; sum=714 |
multidigit_addition | multidigit_addition:right-to-left-carry | 871+570 | d2:1+0+0=1→w1,c0 ; d1:7+7+0=14→w4,c1 ; d0:8+5+1=14→w4,c1 ; sum=1441 |
multidigit_addition | multidigit_addition:rounding-decomposition | 638+444 | round:640+444=1084 ; adjust:1084-2=1082 ; sum=1082 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=0 | 7x+0=0 ; 7x=0 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 509+297 | round:510+297=807 ; adjust:807-1=806 ; sum=806 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+36=72 | 4x+36=72 ; x=(72-36)/4 ; x=36/4 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=-30 | 5x-10=-30 ; x+-2=-6 ; x=-6--2 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=235,base=8 | DIV:235/8=29,r:3 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:353 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-30 | 6x-30=-30 ; x+-5=-5 ; x=-5--5 ; x=0 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 6, 7, 5 | [1,9,6,7,5] ; [1,6,9,7,5] ; [1,6,7,9,5] ; [1,5,6,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 3, 1, 8 | [5,3,6,1,8] ; [5,3,1,6,8] ; [3,5,1,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=-2 | 2x+0=-2 ; x=(-2-0)/2 ; x=-2/2 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 155+142 | round:160+142=302 ; adjust:302-5=297 ; sum=297 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=24 | 8x-24=24 ; x+-3=3 ; x=3--3 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(1,3) | R:(0,2) ; D:(1,2) ; R:(1,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(4,3) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 3, 8, 4, 9 | [2,3,4,8,9] |
base_conversion | base_conversion:repeated-division | n=26,base=4 | DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:122 |
list_summation | list_summation:right-to-left | 4, 2, 2, 3 | 2+3=5 ; 2+5=7 ; 4+7=11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 103+504 | d2:3+4+0=7→w7,c0 ; d1:0+0+0=0→w0,c0 ; d0:1+5+0=6→w6,c0 ; sum=607 |
list_summation | list_summation:right-to-left | 1, 8, 4, 5 | 4+5=9 ; 8+9=17 ; 1+17=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 647+609 | p100:600+600=1200 ; p10:40+0=40 ; p1:7+9=16 ; sum=1200+40+16=1256 |
base_conversion | base_conversion:repeated-division | n=142,base=4 | DIV:142/4=35,r:2 ; DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2032 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 5, 4, 2 | [6,8,5,4,2] ; [5,6,8,4,2] ; [4,5,6,8,2] ; [2,4,5,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 157+385 | d2:7+5+0=12→w2,c1 ; d1:5+8+1=14→w4,c1 ; d0:1+3+1=5→w5,c0 ; sum=542 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 7, 9, 0 | [0,6,7,9,5] ; [0,5,7,9,6] ; [0,5,6,9,7] ; [0,5,6,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 0, 4, 2, 9 | [0,8,4,2,9] ; [0,4,8,2,9] ; [0,4,2,8,9] ; [0,2,4,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=28 | 7x+63=28 ; x+9=4 ; x=4-9 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 396+848 | d2:6+8+0=14→w4,c1 ; d1:9+4+1=14→w4,c1 ; d0:3+8+1=12→w2,c1 ; sum=1244 |
multidigit_addition | multidigit_addition:rounding-decomposition | 858+186 | round:860+186=1046 ; adjust:1046-2=1044 ; sum=1044 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 5, 8, 2 | [0,4,5,8,2] ; [0,2,4,5,8] |
base_conversion | base_conversion:repeated-division | n=142,base=4 | DIV:142/4=35,r:2 ; DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2032 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=-18 | 9x+27=-18 ; x=(-18-27)/9 ; x=-45/9 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 8, 7, 1 | [0,3,7,8,1] ; [0,3,7,1,8] ; [0,3,1,7,8] ; [0,1,3,7,8] |
base_conversion | base_conversion:decomposition | n=158,base=16 | TERM:9*16^1=144 ; TERM:14*16^0=14 ; OUT:9E |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-21 | 7x-56=-21 ; x+-8=-3 ; x=-3--8 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 5, 4, 7 | [0,8,5,4,7] ; [0,4,5,8,7] ; [0,4,5,8,7] ; [0,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=234,base=16 | TERM:14*16^1=224 ; TERM:10*16^0=10 ; OUT:EA |
multidigit_addition | multidigit_addition:left-to-right-partials | 471+218 | p100:400+200=600 ; p10:70+10=80 ; p1:1+8=9 ; sum=600+80+9=689 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 9, 0, 2 | [0,4,9,6,2] ; [0,2,9,6,4] ; [0,2,4,6,9] ; [0,2,4,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 2, 6, 8 | [9,8,2,6,1] ; [1,8,2,6,9] ; [8,1,2,6,9] ; [8,6,2,1,9] ; [1,6,2,8,9] ; [6,1,2,8,9] ; [2,1,6,8,9] ; [1,2,6,8,9] |
base_conversion | base_conversion:decomposition | n=93,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:5*8^0=5 ; OUT:135 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=81 | 9x+54=81 ; x=(81-54)/9 ; x=27/9 ; x=3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 0, 5, 4 | [1,2,0,5,4] ; [0,1,2,5,4] ; [0,1,2,5,4] ; [0,1,2,4,5] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,4) | D:(2,2) ; R:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 502+209 | p100:500+200=700 ; p10:0+0=0 ; p1:2+9=11 ; sum=700+0+11=711 |
list_summation | list_summation:right-to-left | 1, 6, 3, 9 | 3+9=12 ; 6+12=18 ; 1+18=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 1, 0, 9 | [2,6,1,0,9] ; [2,6,0,1,9] ; [0,1,2,6,9] |
base_conversion | base_conversion:via-binary | n=204,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:12 ; OUT:CC |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 6, 5, 4 | [3,9,6,5,4] ; [3,6,9,5,4] ; [3,5,6,9,4] ; [3,4,5,6,9] |
list_summation | list_summation:right-to-left | 0, 2, 1, 4 | 1+4=5 ; 2+5=7 ; 0+7=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 525+176 | d2:5+6+0=11→w1,c1 ; d1:2+7+1=10→w0,c1 ; d0:5+1+1=7→w7,c0 ; sum=701 |
list_summation | list_summation:right-to-left | 7, 4, 2, 1 | 2+1=3 ; 4+3=7 ; 7+7=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=70 | 5x+40=70 ; 5x=30 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 9, 0, 8 | [1,6,9,0,8] ; [1,6,0,9,8] ; [0,1,6,9,8] ; [0,1,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+4=0 | 2x+4=0 ; x=(0-4)/2 ; x=-4/2 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 2, 3, 1 | [7,9,2,3,1] ; [2,7,9,3,1] ; [2,3,7,9,1] ; [1,2,3,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-39 | 3x-27=-39 ; 3x=-12 ; x=-4 |
list_summation | list_summation:left-to-right | 8, 9, 9, 5 | 8+9=17 ; 17+9=26 ; 26+5=31 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 4, 3, 1 | [1,2,4,3,8] ; [1,2,4,3,8] ; [1,2,3,4,8] ; [1,2,3,4,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 0, 3, 1 | [0,2,5,3,1] ; [0,1,5,3,2] ; [0,1,2,3,5] ; [0,1,2,3,5] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 6, 4, 7 | [1,3,6,4,7] ; [1,3,4,6,7] |
list_summation | list_summation:right-to-left | 3, 5, 7, 5 | 7+5=12 ; 5+12=17 ; 3+17=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 4, 2, 6, 1 | [4,7,2,6,1] ; [2,4,6,7,1] ; [1,2,4,6,7] |
list_summation | list_summation:right-to-left | 1, 9, 5, 8 | 5+8=13 ; 9+13=22 ; 1+22=23 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=6 | 2x-8=6 ; x+-4=3 ; x=3--4 ; x=7 |
base_conversion | base_conversion:decomposition | n=8,base=8 | TERM:1*8^1=8 ; TERM:0*8^0=0 ; OUT:10 |
multidigit_addition | multidigit_addition:rounding-decomposition | 912+793 | round:920+793=1713 ; adjust:1713-8=1705 ; sum=1705 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 0, 8, 1, 4 | 0+8=8 ; 1+4=5 ; 8+5=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=-35 | 5x+10=-35 ; x=(-35-10)/5 ; x=-45/5 ; x=-9 |
list_summation | list_summation:left-to-right | 0, 6, 1, 0 | 0+6=6 ; 6+1=7 ; 7+0=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 464+505 | d2:4+5+0=9→w9,c0 ; d1:6+0+0=6→w6,c0 ; d0:4+5+0=9→w9,c0 ; sum=969 |
multidigit_addition | multidigit_addition:right-to-left-carry | 650+901 | d2:0+1+0=1→w1,c0 ; d1:5+0+0=5→w5,c0 ; d0:6+9+0=15→w5,c1 ; sum=1551 |
multidigit_addition | multidigit_addition:right-to-left-carry | 486+578 | d2:6+8+0=14→w4,c1 ; d1:8+7+1=16→w6,c1 ; d0:4+5+1=10→w0,c1 ; sum=1064 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=102 | 6x+54=102 ; x=(102-54)/6 ; x=48/6 ; x=8 |
list_summation | list_summation:right-to-left | 9, 7, 0, 4 | 0+4=4 ; 7+4=11 ; 9+11=20 |
list_summation | list_summation:pairwise | 3, 1, 5, 0 | 3+1=4 ; 5+0=5 ; 4+5=9 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 5, 9, 1 | [7,9,5,2,1] ; [9,7,5,2,1] ; [1,7,5,2,9] ; [7,1,5,2,9] ; [7,2,5,1,9] ; [1,2,5,7,9] ; [5,2,1,7,9] ; [1,2,5,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9] |
base_conversion | base_conversion:decomposition | n=29,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-162 | 9x-81=-162 ; 9x=-81 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 1, 3, 8 | [1,5,9,3,8] ; [1,3,9,5,8] ; [1,3,5,9,8] ; [1,3,5,8,9] |
list_summation | list_summation:left-to-right | 8, 7, 3, 9 | 8+7=15 ; 15+3=18 ; 18+9=27 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(3,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
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