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 | 257+263 | round:260+263=523 ; adjust:523-3=520 ; sum=520 |
list_summation | list_summation:pairwise | 9, 6, 1, 8 | 9+6=15 ; 1+8=9 ; 15+9=24 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,3) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
list_summation | list_summation:pairwise | 5, 6, 3, 8 | 5+6=11 ; 3+8=11 ; 11+11=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 3, 6, 9, 3 | 9+3=12 ; 6+12=18 ; 3+18=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-63 | 9x-63=-63 ; x+-7=-7 ; x=-7--7 ; 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:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 748+418 | p100:700+400=1100 ; p10:40+10=50 ; p1:8+8=16 ; sum=1100+50+16=1166 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 0, 1, 4 | [7,3,0,1,4] ; [7,4,0,1,3] ; [3,4,0,1,7] ; [4,3,0,1,7] ; [1,3,0,4,7] ; [3,1,0,4,7] ; [0,1,3,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,4) | D:(2,3) ; D:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 5, 4, 8, 7 | 8+7=15 ; 4+15=19 ; 5+19=24 |
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 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 741+977 | d2:1+7+0=8→w8,c0 ; d1:4+7+0=11→w1,c1 ; d0:7+9+1=17→w7,c1 ; sum=1718 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
list_summation | list_summation:pairwise | 3, 2, 0, 5 | 3+2=5 ; 0+5=5 ; 5+5=10 |
multidigit_addition | multidigit_addition:right-to-left-carry | 445+907 | d2:5+7+0=12→w2,c1 ; d1:4+0+1=5→w5,c0 ; d0:4+9+0=13→w3,c1 ; sum=1352 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=-4 | 2x+0=-4 ; 2x=-4 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=5 | 5x+25=5 ; x=(5-25)/5 ; x=-20/5 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=18 | 6x+0=18 ; 6x=18 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 6, 2, 9 | [2,8,6,7,9] ; [2,6,8,7,9] ; [2,6,7,8,9] ; [2,6,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+48=64 | 8x+48=64 ; x=(64-48)/8 ; x=16/8 ; x=2 |
list_summation | list_summation:right-to-left | 9, 6, 9, 1 | 9+1=10 ; 6+10=16 ; 9+16=25 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 809+640 | d2:9+0+0=9→w9,c0 ; d1:0+4+0=4→w4,c0 ; d0:8+6+0=14→w4,c1 ; sum=1449 |
multidigit_addition | multidigit_addition:left-to-right-partials | 331+489 | p100:300+400=700 ; p10:30+80=110 ; p1:1+9=10 ; sum=700+110+10=820 |
list_summation | list_summation:left-to-right | 1, 5, 7, 2 | 1+5=6 ; 6+7=13 ; 13+2=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=80 | 8x+8=80 ; x+1=10 ; x=10-1 ; x=9 |
base_conversion | base_conversion:via-binary | n=242,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11110010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 8, 5, 0 | [1,4,8,5,0] ; [1,4,5,8,0] ; [1,4,5,0,8] ; [1,4,0,5,8] ; [1,0,4,5,8] ; [0,1,4,5,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 7, 2, 5, 8 | [2,3,5,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-2=-12 | 2x-2=-12 ; x+-1=-6 ; x=-6--1 ; x=-5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 8, 2, 1 | [0,6,8,2,1] ; [0,6,8,2,1] ; [0,2,6,8,1] ; [0,1,2,6,8] |
base_conversion | base_conversion:repeated-division | n=198,base=4 | DIV:198/4=49,r:2 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3012 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=-72 | 9x+9=-72 ; 9x=-81 ; x=-9 |
list_summation | list_summation:pairwise | 3, 0, 3, 4 | 3+0=3 ; 3+4=7 ; 3+7=10 |
base_conversion | base_conversion:via-binary | n=36,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:210 |
multidigit_addition | multidigit_addition:rounding-decomposition | 538+413 | round:540+413=953 ; adjust:953-2=951 ; sum=951 |
list_summation | list_summation:right-to-left | 0, 2, 6, 8 | 6+8=14 ; 2+14=16 ; 0+16=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 931+983 | round:940+983=1923 ; adjust:1923-9=1914 ; sum=1914 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 1, 2, 0 | [6,1,7,2,0] ; [6,1,2,7,0] ; [6,1,2,0,7] ; [1,6,2,0,7] ; [1,2,6,0,7] ; [1,2,0,6,7] ; [1,0,2,6,7] ; [0,1,2,6,7] |
base_conversion | base_conversion:repeated-division | n=205,base=2 | DIV:205/2=102,r:1 ; DIV:102/2=51,r:0 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; 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:11001101 |
base_conversion | base_conversion:decomposition | n=223,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3133 |
list_summation | list_summation:pairwise | 1, 4, 1, 9 | 1+4=5 ; 1+9=10 ; 5+10=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 651+597 | p100:600+500=1100 ; p10:50+90=140 ; p1:1+7=8 ; sum=1100+140+8=1248 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 2, 3, 6 | [1,8,2,3,6] ; [1,2,8,3,6] ; [1,2,3,8,6] ; [1,2,3,6,8] |
base_conversion | base_conversion:repeated-division | n=171,base=8 | DIV:171/8=21,r:3 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:253 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=90 | 9x+81=90 ; 9x=9 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 931+209 | round:940+209=1149 ; adjust:1149-9=1140 ; sum=1140 |
multidigit_addition | multidigit_addition:left-to-right-partials | 684+179 | p100:600+100=700 ; p10:80+70=150 ; p1:4+9=13 ; sum=700+150+13=863 |
list_summation | list_summation:left-to-right | 2, 5, 6, 2 | 2+5=7 ; 7+6=13 ; 13+2=15 |
list_summation | list_summation:pairwise | 6, 5, 6, 5 | 6+5=11 ; 6+5=11 ; 11+11=22 |
multidigit_addition | multidigit_addition:left-to-right-partials | 122+823 | p100:100+800=900 ; p10:20+20=40 ; p1:2+3=5 ; sum=900+40+5=945 |
base_conversion | base_conversion:via-binary | n=58,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:2 ; OUT:72 |
list_summation | list_summation:right-to-left | 5, 4, 3, 4 | 3+4=7 ; 4+7=11 ; 5+11=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 675+535 | p100:600+500=1100 ; p10:70+30=100 ; p1:5+5=10 ; sum=1100+100+10=1210 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=20 | 5x+0=20 ; 5x=20 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 796+859 | round:800+859=1659 ; adjust:1659-4=1655 ; sum=1655 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 6, 4, 0 | [2,7,6,4,0] ; [2,7,4,6,0] ; [2,4,6,7,0] ; [0,2,4,6,7] |
list_summation | list_summation:pairwise | 2, 4, 4, 3 | 2+4=6 ; 4+3=7 ; 6+7=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 247+924 | p100:200+900=1100 ; p10:40+20=60 ; p1:7+4=11 ; sum=1100+60+11=1171 |
multidigit_addition | multidigit_addition:left-to-right-partials | 400+697 | p100:400+600=1000 ; p10:0+90=90 ; p1:0+7=7 ; sum=1000+90+7=1097 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=42 | 6x+42=42 ; 6x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 1, 5, 9 | [6,9,1,5,2] ; [9,6,1,5,2] ; [2,6,1,5,9] ; [6,2,1,5,9] ; [6,5,1,2,9] ; [2,5,1,6,9] ; [5,2,1,6,9] ; [1,2,5,6,9] ; [2,1,5,6,9] ; [1,2,5,6,9] |
list_summation | list_summation:right-to-left | 3, 6, 5, 0 | 5+0=5 ; 6+5=11 ; 3+11=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 839+898 | round:840+898=1738 ; adjust:1738-1=1737 ; sum=1737 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=-18 | 6x+30=-18 ; x+5=-3 ; x=-3-5 ; x=-8 |
base_conversion | base_conversion:decomposition | n=165,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10100101 |
list_summation | list_summation:right-to-left | 8, 9, 6, 5 | 6+5=11 ; 9+11=20 ; 8+20=28 |
multidigit_addition | multidigit_addition:right-to-left-carry | 386+458 | d2:6+8+0=14→w4,c1 ; d1:8+5+1=14→w4,c1 ; d0:3+4+1=8→w8,c0 ; sum=844 |
list_summation | list_summation:left-to-right | 7, 3, 7, 1 | 7+3=10 ; 10+7=17 ; 17+1=18 |
list_summation | list_summation:pairwise | 7, 3, 6, 6 | 7+3=10 ; 6+6=12 ; 10+12=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-54=-18 | 9x-54=-18 ; x=(-18--54)/9 ; x=36/9 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 355+543 | p100:300+500=800 ; p10:50+40=90 ; p1:5+3=8 ; sum=800+90+8=898 |
base_conversion | base_conversion:via-binary | n=201,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11001001 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 7, 5, 6 | [2,8,7,5,6] ; [2,7,8,5,6] ; [2,7,5,8,6] ; [2,7,5,6,8] ; [2,5,7,6,8] ; [2,5,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 312+156 | d2:2+6+0=8→w8,c0 ; d1:1+5+0=6→w6,c0 ; d0:3+1+0=4→w4,c0 ; sum=468 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,2) | R:(2,1) ; R:(2,2) ; D:(3,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=0 | 5x-15=0 ; 5x=15 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 922+975 | p100:900+900=1800 ; p10:20+70=90 ; p1:2+5=7 ; sum=1800+90+7=1897 |
list_summation | list_summation:pairwise | 8, 4, 2, 6 | 8+4=12 ; 2+6=8 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=152,base=4 | DIV:152/4=38,r:0 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2120 |
list_summation | list_summation:pairwise | 0, 5, 8, 8 | 0+5=5 ; 8+8=16 ; 5+16=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=40 | 8x-16=40 ; 8x=56 ; x=7 |
base_conversion | base_conversion:via-binary | n=15,base=16 | BINLEN:4 ; CHUNK:0:15 ; OUT:F |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=40 | 8x-24=40 ; x=(40--24)/8 ; x=64/8 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=20 | 4x-16=20 ; x=(20--16)/4 ; x=36/4 ; x=9 |
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