task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=121,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1111001 |
multidigit_addition | multidigit_addition:rounding-decomposition | 806+673 | round:810+673=1483 ; adjust:1483-4=1479 ; sum=1479 |
list_summation | list_summation:right-to-left | 6, 5, 5, 5 | 5+5=10 ; 5+10=15 ; 6+15=21 |
list_summation | list_summation:pairwise | 5, 1, 1, 4 | 5+1=6 ; 1+4=5 ; 6+5=11 |
base_conversion | base_conversion:via-binary | n=186,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2322 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-135 | 9x-72=-135 ; x=(-135--72)/9 ; x=-63/9 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 1, 8, 3 | [0,6,1,8,3] ; [0,1,6,8,3] ; [0,1,6,3,8] ; [0,1,3,6,8] |
list_summation | list_summation:left-to-right | 4, 3, 6, 0 | 4+3=7 ; 7+6=13 ; 13+0=13 |
list_summation | list_summation:pairwise | 7, 7, 9, 7 | 7+7=14 ; 9+7=16 ; 14+16=30 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 8, 6, 7 | [1,2,8,6,7] ; [1,2,8,6,7] ; [1,2,6,8,7] ; [1,2,6,7,8] |
base_conversion | base_conversion:decomposition | n=52,base=2 | 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:110100 |
list_summation | list_summation:right-to-left | 6, 6, 0, 0 | 0+0=0 ; 6+0=6 ; 6+6=12 |
list_summation | list_summation:pairwise | 3, 2, 9, 9 | 3+2=5 ; 9+9=18 ; 5+18=23 |
list_summation | list_summation:left-to-right | 8, 8, 3, 5 | 8+8=16 ; 16+3=19 ; 19+5=24 |
list_summation | list_summation:left-to-right | 9, 9, 9, 5 | 9+9=18 ; 18+9=27 ; 27+5=32 |
base_conversion | base_conversion:decomposition | n=102,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1212 |
base_conversion | base_conversion:via-binary | n=138,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:212 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=31,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-104 | 8x-72=-104 ; x=(-104--72)/8 ; x=-32/8 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-25=-25 | 5x-25=-25 ; x=(-25--25)/5 ; x=0/5 ; x=0 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 6, 0, 4 | [1,7,6,0,4] ; [1,6,7,0,4] ; [1,6,0,7,4] ; [1,6,0,4,7] ; [1,0,6,4,7] ; [1,0,4,6,7] ; [0,1,4,6,7] |
list_summation | list_summation:left-to-right | 2, 3, 1, 0 | 2+3=5 ; 5+1=6 ; 6+0=6 |
base_conversion | base_conversion:repeated-division | n=33,base=4 | DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:201 |
multidigit_addition | multidigit_addition:rounding-decomposition | 109+795 | round:110+795=905 ; adjust:905-1=904 ; sum=904 |
base_conversion | base_conversion:decomposition | n=87,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:7*8^0=7 ; OUT:127 |
base_conversion | base_conversion:repeated-division | n=167,base=2 | DIV:167/2=83,r:1 ; DIV:83/2=41,r:1 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10100111 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 4, 0, 6 | [8,6,4,0,2] ; [2,6,4,0,8] ; [6,2,4,0,8] ; [0,2,4,6,8] ; [4,2,0,6,8] ; [0,2,4,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,5) | D:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=6 | 2x-8=6 ; x+-4=3 ; x=3--4 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-64=-40 | 8x-64=-40 ; x+-8=-5 ; x=-5--8 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=-24 | 6x+12=-24 ; x=(-24-12)/6 ; x=-36/6 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=131,base=8 | DIV:131/8=16,r:3 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:203 |
base_conversion | base_conversion:decomposition | n=90,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1011010 |
base_conversion | base_conversion:via-binary | n=207,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:317 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+63=81 | 9x+63=81 ; 9x=18 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=8 | 2x+14=8 ; 2x=-6 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-2=8 | 2x-2=8 ; x=(8--2)/2 ; x=10/2 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 347+233 | p100:300+200=500 ; p10:40+30=70 ; p1:7+3=10 ; sum=500+70+10=580 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=70 | 7x+63=70 ; x+9=10 ; x=10-9 ; x=1 |
base_conversion | base_conversion:via-binary | n=25,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:11001 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 0, 7, 8 | [4,5,0,7,8] ; [0,4,5,7,8] ; [0,4,5,7,8] ; [0,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=68,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1000100 |
list_summation | list_summation:right-to-left | 0, 6, 9, 3 | 9+3=12 ; 6+12=18 ; 0+18=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 581+629 | p100:500+600=1100 ; p10:80+20=100 ; p1:1+9=10 ; sum=1100+100+10=1210 |
list_summation | list_summation:pairwise | 0, 7, 6, 0 | 0+7=7 ; 6+0=6 ; 7+6=13 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 7, 6, 0 | [0,5,7,6,8] ; [0,5,7,6,8] ; [0,5,6,7,8] ; [0,5,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-8=16 | 8x-8=16 ; x+-1=2 ; x=2--1 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 8, 0, 5, 3 | [0,8,6,5,3] ; [0,3,6,5,8] ; [0,3,5,6,8] ; [0,3,5,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 520+907 | d2:0+7+0=7→w7,c0 ; d1:2+0+0=2→w2,c0 ; d0:5+9+0=14→w4,c1 ; sum=1427 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 1, 7, 9 | [0,4,1,7,9] ; [0,1,4,7,9] ; [0,1,4,7,9] ; [0,1,4,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 372+578 | d2:2+8+0=10→w0,c1 ; d1:7+7+1=15→w5,c1 ; d0:3+5+1=9→w9,c0 ; sum=950 |
base_conversion | base_conversion:repeated-division | n=186,base=2 | DIV:186/2=93,r:0 ; DIV:93/2=46,r:1 ; DIV:46/2=23,r:0 ; DIV:23/2=11,r:1 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10111010 |
base_conversion | base_conversion:via-binary | n=231,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=-35 | 7x+0=-35 ; 7x=-35 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=18 | 3x+21=18 ; x+7=6 ; x=6-7 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=176,base=4 | DIV:176/4=44,r:0 ; DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2300 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 2, 0, 1 | [3,8,0,2,1] ; [0,2,3,8,1] ; [0,1,2,3,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 926+901 | p100:900+900=1800 ; p10:20+0=20 ; p1:6+1=7 ; sum=1800+20+7=1827 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 1, 8, 2 | [6,8,1,0,2] ; [8,6,1,0,2] ; [2,6,1,0,8] ; [6,2,1,0,8] ; [0,2,1,6,8] ; [2,0,1,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
base_conversion | base_conversion:decomposition | n=164,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:2210 |
base_conversion | base_conversion:decomposition | n=247,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:3313 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=3 | 3x-21=3 ; x+-7=1 ; x=1--7 ; x=8 |
list_summation | list_summation:right-to-left | 5, 3, 0, 8 | 0+8=8 ; 3+8=11 ; 5+11=16 |
list_summation | list_summation:pairwise | 9, 7, 7, 5 | 9+7=16 ; 7+5=12 ; 16+12=28 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 4, 6, 3 | [0,5,4,6,3] ; [0,4,5,6,3] ; [0,4,5,6,3] ; [0,3,4,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 369+752 | d2:9+2+0=11→w1,c1 ; d1:6+5+1=12→w2,c1 ; d0:3+7+1=11→w1,c1 ; sum=1121 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 7, 8, 6 | [1,7,9,8,6] ; [1,7,8,9,6] ; [1,7,8,6,9] ; [1,7,6,8,9] ; [1,6,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 951+110 | p100:900+100=1000 ; p10:50+10=60 ; p1:1+0=1 ; sum=1000+60+1=1061 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=245,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:5*8^0=5 ; OUT:365 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 2, 3, 6, 5 | [2,7,3,6,5] ; [2,3,7,6,5] ; [2,3,5,6,7] ; [2,3,5,6,7] |
list_summation | list_summation:left-to-right | 6, 8, 5, 2 | 6+8=14 ; 14+5=19 ; 19+2=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
base_conversion | base_conversion:via-binary | n=37,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:100101 |
base_conversion | base_conversion:decomposition | n=204,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:314 |
multidigit_addition | multidigit_addition:right-to-left-carry | 961+380 | d2:1+0+0=1→w1,c0 ; d1:6+8+0=14→w4,c1 ; d0:9+3+1=13→w3,c1 ; sum=1341 |
list_summation | list_summation:right-to-left | 3, 5, 9, 6 | 9+6=15 ; 5+15=20 ; 3+20=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 664+122 | d2:4+2+0=6→w6,c0 ; d1:6+2+0=8→w8,c0 ; d0:6+1+0=7→w7,c0 ; sum=786 |
list_summation | list_summation:left-to-right | 8, 4, 0, 6 | 8+4=12 ; 12+0=12 ; 12+6=18 |
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+8=18 | 2x+8=18 ; 2x=10 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=54 | 9x-18=54 ; x+-2=6 ; x=6--2 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+48=104 | 8x+48=104 ; 8x=56 ; x=7 |
base_conversion | base_conversion:decomposition | n=81,base=16 | TERM:5*16^1=80 ; TERM:1*16^0=1 ; OUT:51 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=-21 | 7x+7=-21 ; x=(-21-7)/7 ; x=-28/7 ; x=-4 |
list_summation | list_summation:left-to-right | 6, 5, 4, 3 | 6+5=11 ; 11+4=15 ; 15+3=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
list_summation | list_summation:pairwise | 5, 6, 0, 4 | 5+6=11 ; 0+4=4 ; 11+4=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 822+854 | p100:800+800=1600 ; p10:20+50=70 ; p1:2+4=6 ; sum=1600+70+6=1676 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-45 | 3x-24=-45 ; x+-8=-15 ; x=-15--8 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
list_summation | list_summation:pairwise | 9, 0, 8, 7 | 9+0=9 ; 8+7=15 ; 9+15=24 |
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