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 | 157+137 | round:160+137=297 ; adjust:297-3=294 ; sum=294 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 4, 0, 7, 9 | [0,1,4,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 9, 3, 8, 5 | [3,7,8,9,5] ; [3,5,7,8,9] |
base_conversion | base_conversion:repeated-division | n=53,base=8 | DIV:53/8=6,r:5 ; DIV:6/8=0,r:6 ; OUT:65 |
base_conversion | base_conversion:via-binary | n=21,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:10101 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 9, 7, 2 | [1,4,9,7,2] ; [1,2,9,7,4] ; [1,2,4,7,9] ; [1,2,4,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 7, 4, 6 | [2,7,9,4,6] ; [2,7,4,9,6] ; [2,7,4,6,9] ; [2,4,7,6,9] ; [2,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=240,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:3300 |
base_conversion | base_conversion:via-binary | n=2,base=16 | BINLEN:2 ; CHUNK:0:2 ; OUT:2 |
base_conversion | base_conversion:repeated-division | n=195,base=2 | DIV:195/2=97,r:1 ; DIV:97/2=48,r:1 ; DIV:48/2=24,r:0 ; DIV:24/2=12,r:0 ; 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:11000011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 174+185 | p100:100+100=200 ; p10:70+80=150 ; p1:4+5=9 ; sum=200+150+9=359 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 1, 3, 8 | [1,3,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,5) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=27,base=2 | DIV:27/2=13,r:1 ; 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:11011 |
base_conversion | base_conversion:via-binary | n=90,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:1122 |
multidigit_addition | multidigit_addition:left-to-right-partials | 518+679 | p100:500+600=1100 ; p10:10+70=80 ; p1:8+9=17 ; sum=1100+80+17=1197 |
multidigit_addition | multidigit_addition:left-to-right-partials | 502+135 | p100:500+100=600 ; p10:0+30=30 ; p1:2+5=7 ; sum=600+30+7=637 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=8 | 8x-64=8 ; x=(8--64)/8 ; x=72/8 ; x=9 |
list_summation | list_summation:pairwise | 5, 9, 4, 9 | 5+9=14 ; 4+9=13 ; 14+13=27 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=30 | 6x-18=30 ; x=(30--18)/6 ; x=48/6 ; x=8 |
list_summation | list_summation:right-to-left | 4, 6, 8, 1 | 8+1=9 ; 6+9=15 ; 4+15=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=80 | 5x+40=80 ; 5x=40 ; x=8 |
base_conversion | base_conversion:decomposition | n=54,base=4 | TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:312 |
base_conversion | base_conversion:via-binary | n=194,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11000010 |
base_conversion | base_conversion:repeated-division | n=84,base=4 | DIV:84/4=21,r:0 ; DIV:21/4=5,r:1 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1110 |
base_conversion | base_conversion:decomposition | n=138,base=16 | TERM:8*16^1=128 ; TERM:10*16^0=10 ; OUT:8A |
list_summation | list_summation:left-to-right | 8, 3, 1, 5 | 8+3=11 ; 11+1=12 ; 12+5=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 852+116 | p100:800+100=900 ; p10:50+10=60 ; p1:2+6=8 ; sum=900+60+8=968 |
base_conversion | base_conversion:via-binary | n=176,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:0 ; OUT:B0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=48 | 6x+42=48 ; 6x=6 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=-24 | 8x+24=-24 ; 8x=-48 ; x=-6 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 7, 4, 5, 0 | [0,7,4,5,1] ; [0,1,4,5,7] ; [0,1,4,5,7] ; [0,1,4,5,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
list_summation | list_summation:right-to-left | 3, 2, 3, 7 | 3+7=10 ; 2+10=12 ; 3+12=15 |
list_summation | list_summation:left-to-right | 6, 2, 4, 1 | 6+2=8 ; 8+4=12 ; 12+1=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 714+568 | round:720+568=1288 ; adjust:1288-6=1282 ; sum=1282 |
multidigit_addition | multidigit_addition:right-to-left-carry | 688+622 | d2:8+2+0=10→w0,c1 ; d1:8+2+1=11→w1,c1 ; d0:6+6+1=13→w3,c1 ; sum=1310 |
list_summation | list_summation:left-to-right | 7, 0, 2, 5 | 7+0=7 ; 7+2=9 ; 9+5=14 |
base_conversion | base_conversion:via-binary | n=239,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11101111 |
list_summation | list_summation:pairwise | 8, 2, 9, 7 | 8+2=10 ; 9+7=16 ; 10+16=26 |
base_conversion | base_conversion:via-binary | n=221,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3131 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=30 | 3x+9=30 ; 3x=21 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=45 | 9x+36=45 ; x=(45-36)/9 ; x=9/9 ; x=1 |
base_conversion | base_conversion:via-binary | n=33,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; OUT:21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 1, 0, 4 | [4,5,1,0,6] ; [5,4,1,0,6] ; [0,4,1,5,6] ; [4,0,1,5,6] ; [1,0,4,5,6] ; [0,1,4,5,6] |
base_conversion | base_conversion:decomposition | n=161,base=16 | TERM:10*16^1=160 ; TERM:1*16^0=1 ; OUT:A1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 2, 8, 3 | [4,2,6,8,3] ; [4,2,6,3,8] ; [2,4,6,3,8] ; [2,4,3,6,8] ; [2,3,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 965+218 | round:970+218=1188 ; adjust:1188-5=1183 ; sum=1183 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-6=15 | 3x-6=15 ; 3x=21 ; x=7 |
base_conversion | base_conversion:repeated-division | n=20,base=16 | DIV:20/16=1,r:4 ; DIV:1/16=0,r:1 ; OUT:14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-28=-12 | 4x-28=-12 ; x+-7=-3 ; x=-3--7 ; x=4 |
list_summation | list_summation:left-to-right | 5, 9, 1, 7 | 5+9=14 ; 14+1=15 ; 15+7=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-7=-56 | 7x-7=-56 ; x=(-56--7)/7 ; x=-49/7 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 922+978 | round:930+978=1908 ; adjust:1908-8=1900 ; sum=1900 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=27 | 3x+24=27 ; x=(27-24)/3 ; x=3/3 ; x=1 |
base_conversion | base_conversion:repeated-division | n=162,base=8 | DIV:162/8=20,r:2 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:242 |
list_summation | list_summation:left-to-right | 7, 1, 0, 3 | 7+1=8 ; 8+0=8 ; 8+3=11 |
base_conversion | base_conversion:repeated-division | n=255,base=4 | DIV:255/4=63,r:3 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3333 |
multidigit_addition | multidigit_addition:rounding-decomposition | 423+652 | round:430+652=1082 ; adjust:1082-7=1075 ; sum=1075 |
base_conversion | base_conversion:via-binary | n=207,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:317 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 5, 7, 3, 3 | 5+7=12 ; 3+3=6 ; 12+6=18 |
list_summation | list_summation:left-to-right | 8, 1, 4, 1 | 8+1=9 ; 9+4=13 ; 13+1=14 |
list_summation | list_summation:left-to-right | 9, 5, 8, 3 | 9+5=14 ; 14+8=22 ; 22+3=25 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 3, 8, 2 | [0,7,3,8,2] ; [0,2,3,8,7] ; [0,2,3,8,7] ; [0,2,3,7,8] |
base_conversion | base_conversion:via-binary | n=25,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:121 |
list_summation | list_summation:pairwise | 1, 9, 5, 8 | 1+9=10 ; 5+8=13 ; 10+13=23 |
base_conversion | base_conversion:repeated-division | n=224,base=8 | DIV:224/8=28,r:0 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:340 |
list_summation | list_summation:left-to-right | 9, 8, 1, 4 | 9+8=17 ; 17+1=18 ; 18+4=22 |
list_summation | list_summation:right-to-left | 9, 8, 2, 8 | 2+8=10 ; 8+10=18 ; 9+18=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,5) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=52 | 4x+16=52 ; 4x=36 ; x=9 |
base_conversion | base_conversion:decomposition | n=148,base=16 | TERM:9*16^1=144 ; TERM:4*16^0=4 ; OUT:94 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-5 | 5x-30=-5 ; 5x=25 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=32 | 8x+48=32 ; x+6=4 ; x=4-6 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=-10 | 5x+0=-10 ; 5x=-10 ; x=-2 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 8, 3, 5 | [9,7,8,3,5] ; [5,7,8,3,9] ; [8,7,5,3,9] ; [3,7,5,8,9] ; [7,3,5,8,9] ; [5,3,7,8,9] ; [3,5,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+4=12 | 2x+4=12 ; x=(12-4)/2 ; x=8/2 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-8 | 2x-10=-8 ; x=(-8--10)/2 ; x=2/2 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 958+445 | round:960+445=1405 ; adjust:1405-2=1403 ; sum=1403 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+48=32 | 8x+48=32 ; x=(32-48)/8 ; x=-16/8 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-4 | 2x-16=-4 ; x=(-4--16)/2 ; x=12/2 ; x=6 |
base_conversion | base_conversion:decomposition | n=160,base=16 | TERM:10*16^1=160 ; TERM:0*16^0=0 ; OUT:A0 |
base_conversion | base_conversion:repeated-division | n=11,base=2 | 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:1011 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 2, 6, 3 | [0,2,8,6,3] ; [0,2,6,8,3] ; [0,2,6,3,8] ; [0,2,3,6,8] |
list_summation | list_summation:left-to-right | 7, 0, 5, 0 | 7+0=7 ; 7+5=12 ; 12+0=12 |
list_summation | list_summation:left-to-right | 3, 6, 9, 1 | 3+6=9 ; 9+9=18 ; 18+1=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-72=-112 | 8x-72=-112 ; 8x=-40 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(3,5) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 786+336 | round:790+336=1126 ; adjust:1126-4=1122 ; sum=1122 |
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