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 | 778+558 | round:780+558=1338 ; adjust:1338-2=1336 ; sum=1336 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+63=27 | 9x+63=27 ; x+7=3 ; x=3-7 ; x=-4 |
base_conversion | base_conversion:decomposition | n=180,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10110100 |
list_summation | list_summation:left-to-right | 0, 3, 6, 5 | 0+3=3 ; 3+6=9 ; 9+5=14 |
list_summation | list_summation:pairwise | 2, 7, 3, 0 | 2+7=9 ; 3+0=3 ; 9+3=12 |
base_conversion | base_conversion:via-binary | n=159,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:7 ; OUT:237 |
multidigit_addition | multidigit_addition:left-to-right-partials | 855+696 | p100:800+600=1400 ; p10:50+90=140 ; p1:5+6=11 ; sum=1400+140+11=1551 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 6, 8, 1 | [2,6,9,8,1] ; [2,6,8,9,1] ; [2,6,8,1,9] ; [2,6,1,8,9] ; [2,1,6,8,9] ; [1,2,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 118+518 | p100:100+500=600 ; p10:10+10=20 ; p1:8+8=16 ; sum=600+20+16=636 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-54=-54 | 9x-54=-54 ; x+-6=-6 ; x=-6--6 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 1, 8, 0 | [0,3,1,8,9] ; [0,1,3,8,9] ; [0,1,3,8,9] ; [0,1,3,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,2) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 909+930 | d2:9+0+0=9→w9,c0 ; d1:0+3+0=3→w3,c0 ; d0:9+9+0=18→w8,c1 ; sum=1839 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 2, 5, 9 | [7,9,2,5,0] ; [9,7,2,5,0] ; [0,7,2,5,9] ; [7,0,2,5,9] ; [7,5,2,0,9] ; [0,5,2,7,9] ; [5,0,2,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+63=21 | 7x+63=21 ; 7x=-42 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 973+509 | p100:900+500=1400 ; p10:70+0=70 ; p1:3+9=12 ; sum=1400+70+12=1482 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-35 | 5x-35=-35 ; x=(-35--35)/5 ; x=0/5 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 643+251 | p100:600+200=800 ; p10:40+50=90 ; p1:3+1=4 ; sum=800+90+4=894 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,1) | D:(2,0) ; R:(2,1) |
base_conversion | base_conversion:repeated-division | n=17,base=2 | DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10001 |
base_conversion | base_conversion:via-binary | n=204,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3030 |
list_summation | list_summation:right-to-left | 3, 9, 0, 2 | 0+2=2 ; 9+2=11 ; 3+11=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,4) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 876+198 | p100:800+100=900 ; p10:70+90=160 ; p1:6+8=14 ; sum=900+160+14=1074 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 0, 1, 0, 8 | 0+8=8 ; 1+8=9 ; 0+9=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-30 | 5x-5=-30 ; x+-1=-6 ; x=-6--1 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 482+262 | round:490+262=752 ; adjust:752-8=744 ; sum=744 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 8, 7, 2 | [1,6,8,7,2] ; [1,6,8,7,2] ; [1,6,7,8,2] ; [1,2,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 760+698 | p100:700+600=1300 ; p10:60+90=150 ; p1:0+8=8 ; sum=1300+150+8=1458 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 2, 8, 3 | [0,2,4,8,3] ; [0,2,3,4,8] |
base_conversion | base_conversion:decomposition | n=1,base=4 | TERM:1*4^0=1 ; OUT:1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-60 | 6x-54=-60 ; x=(-60--54)/6 ; x=-6/6 ; x=-1 |
list_summation | list_summation:left-to-right | 6, 1, 2, 5 | 6+1=7 ; 7+2=9 ; 9+5=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-16=56 | 8x-16=56 ; x+-2=7 ; x=7--2 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=70 | 5x+45=70 ; x+9=14 ; x=14-9 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 2, 1, 6, 5 | [2,4,1,6,5] ; [2,1,4,6,5] ; [2,1,4,5,6] ; [1,2,4,5,6] |
base_conversion | base_conversion:via-binary | n=61,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:111101 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 5, 4, 9 | [2,6,5,4,9] ; [2,6,4,5,9] ; [2,4,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-6=-12 | 6x-6=-12 ; x=(-12--6)/6 ; x=-6/6 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=142,base=8 | DIV:142/8=17,r:6 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:216 |
base_conversion | base_conversion:via-binary | n=215,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11010111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+4=10 | 2x+4=10 ; x+2=5 ; x=5-2 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+18=63 | 9x+18=63 ; x+2=7 ; x=7-2 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=-21 | 7x-49=-21 ; x+-7=-3 ; x=-3--7 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 163+565 | p100:100+500=600 ; p10:60+60=120 ; p1:3+5=8 ; sum=600+120+8=728 |
multidigit_addition | multidigit_addition:right-to-left-carry | 192+209 | d2:2+9+0=11→w1,c1 ; d1:9+0+1=10→w0,c1 ; d0:1+2+1=4→w4,c0 ; sum=401 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 2, 1, 5 | [6,8,1,2,5] ; [1,2,6,8,5] ; [1,2,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 8, 0, 3 | [0,5,8,6,3] ; [0,3,8,6,5] ; [0,3,5,6,8] ; [0,3,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 362+917 | p100:300+900=1200 ; p10:60+10=70 ; p1:2+7=9 ; sum=1200+70+9=1279 |
multidigit_addition | multidigit_addition:rounding-decomposition | 788+508 | round:790+508=1298 ; adjust:1298-2=1296 ; sum=1296 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=-66 | 6x-42=-66 ; x=(-66--42)/6 ; x=-24/6 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 7, 0, 6 | [1,8,0,7,6] ; [0,1,7,8,6] ; [0,1,6,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 3, 1, 9 | [6,8,1,3,9] ; [1,3,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-72 | 9x-72=-72 ; x=(-72--72)/9 ; x=0/9 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=-8 | 2x-12=-8 ; 2x=4 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 654+272 | p100:600+200=800 ; p10:50+70=120 ; p1:4+2=6 ; sum=800+120+6=926 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 5, 0, 8, 2 | [3,0,5,8,2] ; [3,0,5,2,8] ; [0,3,5,2,8] ; [0,3,2,5,8] ; [0,2,3,5,8] |
base_conversion | base_conversion:repeated-division | n=210,base=2 | DIV:210/2=105,r:0 ; DIV:105/2=52,r:1 ; DIV:52/2=26,r:0 ; DIV:26/2=13,r:0 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11010010 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=9 | 9x-45=9 ; 9x=54 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+72=153 | 9x+72=153 ; x+8=17 ; x=17-8 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-3=-9 | 3x-3=-9 ; x+-1=-3 ; x=-3--1 ; x=-2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-36=18 | 9x-36=18 ; x+-4=2 ; x=2--4 ; x=6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 0, 8, 1 | [3,6,0,8,1] ; [0,3,6,8,1] ; [0,3,6,8,1] ; [0,1,3,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 299+181 | round:300+181=481 ; adjust:481-1=480 ; sum=480 |
list_summation | list_summation:pairwise | 3, 4, 1, 4 | 3+4=7 ; 1+4=5 ; 7+5=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 2, 9, 5 | [0,7,2,9,5] ; [0,2,7,9,5] ; [0,2,7,5,9] ; [0,2,5,7,9] |
base_conversion | base_conversion:decomposition | n=15,base=4 | TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:33 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=72 | 9x+18=72 ; 9x=54 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 471+647 | d2:1+7+0=8→w8,c0 ; d1:7+4+0=11→w1,c1 ; d0:4+6+1=11→w1,c1 ; sum=1118 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 4, 5, 0, 7 | [1,4,0,5,7] ; [0,1,4,5,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 9, 2, 7 | [0,6,9,2,7] ; [0,6,9,2,7] ; [0,2,6,9,7] ; [0,2,6,7,9] |
base_conversion | base_conversion:via-binary | n=242,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:2 ; OUT:F2 |
base_conversion | base_conversion:via-binary | n=143,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2033 |
list_summation | list_summation:left-to-right | 0, 0, 4, 8 | 0+0=0 ; 0+4=4 ; 4+8=12 |
base_conversion | base_conversion:repeated-division | n=7,base=8 | DIV:7/8=0,r:7 ; OUT:7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+36=36 | 4x+36=36 ; x=(36-36)/4 ; x=0/4 ; x=0 |
base_conversion | base_conversion:decomposition | n=11,base=4 | TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+28=8 | 4x+28=8 ; 4x=-20 ; x=-5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 436+633 | p100:400+600=1000 ; p10:30+30=60 ; p1:6+3=9 ; sum=1000+60+9=1069 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) |
base_conversion | base_conversion:via-binary | n=152,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2120 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 4, 0, 8, 2 | 4+0=4 ; 8+2=10 ; 4+10=14 |
base_conversion | base_conversion:via-binary | n=227,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3203 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=50 | 5x+15=50 ; x=(50-15)/5 ; x=35/5 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 789+660 | round:790+660=1450 ; adjust:1450-1=1449 ; sum=1449 |
list_summation | list_summation:left-to-right | 6, 1, 7, 4 | 6+1=7 ; 7+7=14 ; 14+4=18 |
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