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=164,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:244 |
multidigit_addition | multidigit_addition:right-to-left-carry | 219+791 | d2:9+1+0=10→w0,c1 ; d1:1+9+1=11→w1,c1 ; d0:2+7+1=10→w0,c1 ; sum=1010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,4) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+49=98 | 7x+49=98 ; x=(98-49)/7 ; x=49/7 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=9 | 9x-27=9 ; x+-3=1 ; x=1--3 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(4,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 4, 9, 5 | [2,6,4,9,5] ; [2,4,6,9,5] ; [2,4,6,5,9] ; [2,4,5,6,9] |
base_conversion | base_conversion:via-binary | n=224,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3200 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=8 | 4x-12=8 ; x=(8--12)/4 ; x=20/4 ; x=5 |
list_summation | list_summation:pairwise | 5, 1, 4, 6 | 5+1=6 ; 4+6=10 ; 6+10=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=63 | 9x+9=63 ; x+1=7 ; x=7-1 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 2, 1, 9 | [0,8,2,1,9] ; [0,1,2,8,9] ; [0,1,2,8,9] ; [0,1,2,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=-120 | 8x-56=-120 ; x=(-120--56)/8 ; x=-64/8 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 896+168 | d2:6+8+0=14→w4,c1 ; d1:9+6+1=16→w6,c1 ; d0:8+1+1=10→w0,c1 ; sum=1064 |
list_summation | list_summation:left-to-right | 0, 1, 3, 6 | 0+1=1 ; 1+3=4 ; 4+6=10 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+48=42 | 6x+48=42 ; 6x=-6 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 973+536 | p100:900+500=1400 ; p10:70+30=100 ; p1:3+6=9 ; sum=1400+100+9=1509 |
base_conversion | base_conversion:repeated-division | n=249,base=8 | DIV:249/8=31,r:1 ; DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:371 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 415+624 | d2:5+4+0=9→w9,c0 ; d1:1+2+0=3→w3,c0 ; d0:4+6+0=10→w0,c1 ; sum=1039 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=233,base=2 | DIV:233/2=116,r:1 ; DIV:116/2=58,r:0 ; DIV:58/2=29,r:0 ; DIV:29/2=14,r:1 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11101001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=0 | 9x+81=0 ; x+9=0 ; x=0-9 ; x=-9 |
list_summation | list_summation:left-to-right | 3, 6, 4, 2 | 3+6=9 ; 9+4=13 ; 13+2=15 |
list_summation | list_summation:right-to-left | 2, 1, 0, 4 | 0+4=4 ; 1+4=5 ; 2+5=7 |
base_conversion | base_conversion:repeated-division | n=64,base=2 | DIV:64/2=32,r:0 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; 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:1000000 |
base_conversion | base_conversion:via-binary | n=236,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:12 ; OUT:EC |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=95,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1133 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=-3 | 3x-9=-3 ; x+-3=-1 ; x=-1--3 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 673+575 | d2:3+5+0=8→w8,c0 ; d1:7+7+0=14→w4,c1 ; d0:6+5+1=12→w2,c1 ; sum=1248 |
base_conversion | base_conversion:decomposition | n=146,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:2*8^0=2 ; OUT:222 |
list_summation | list_summation:left-to-right | 6, 7, 9, 8 | 6+7=13 ; 13+9=22 ; 22+8=30 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 4, 2, 9, 0 | [2,3,4,9,0] ; [0,2,3,4,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=21 | 3x+24=21 ; 3x=-3 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 232+653 | d2:2+3+0=5→w5,c0 ; d1:3+5+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=885 |
multidigit_addition | multidigit_addition:left-to-right-partials | 864+493 | p100:800+400=1200 ; p10:60+90=150 ; p1:4+3=7 ; sum=1200+150+7=1357 |
base_conversion | base_conversion:repeated-division | n=43,base=8 | DIV:43/8=5,r:3 ; DIV:5/8=0,r:5 ; OUT:53 |
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=179,base=8 | DIV:179/8=22,r:3 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:263 |
base_conversion | base_conversion:repeated-division | n=54,base=16 | DIV:54/16=3,r:6 ; DIV:3/16=0,r:3 ; OUT:36 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 6, 8, 5 | [3,4,6,8,5] ; [3,4,5,6,8] |
list_summation | list_summation:pairwise | 5, 0, 6, 0 | 5+0=5 ; 6+0=6 ; 5+6=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 244+615 | round:250+615=865 ; adjust:865-6=859 ; sum=859 |
list_summation | list_summation:left-to-right | 7, 5, 1, 7 | 7+5=12 ; 12+1=13 ; 13+7=20 |
list_summation | list_summation:left-to-right | 7, 8, 2, 1 | 7+8=15 ; 15+2=17 ; 17+1=18 |
base_conversion | base_conversion:repeated-division | n=37,base=16 | DIV:37/16=2,r:5 ; DIV:2/16=0,r:2 ; OUT:25 |
list_summation | list_summation:left-to-right | 0, 5, 8, 6 | 0+5=5 ; 5+8=13 ; 13+6=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-30=5 | 5x-30=5 ; x+-6=1 ; x=1--6 ; x=7 |
list_summation | list_summation:pairwise | 6, 6, 0, 5 | 6+6=12 ; 0+5=5 ; 12+5=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 774+115 | p100:700+100=800 ; p10:70+10=80 ; p1:4+5=9 ; sum=800+80+9=889 |
base_conversion | base_conversion:decomposition | n=84,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:1010100 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 6, 8, 2 | [3,9,6,8,2] ; [3,6,8,9,2] ; [2,3,6,8,9] |
list_summation | list_summation:pairwise | 3, 6, 2, 7 | 3+6=9 ; 2+7=9 ; 9+9=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+35=7 | 7x+35=7 ; 7x=-28 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 1, 6, 8 | [0,9,1,6,8] ; [0,1,9,6,8] ; [0,1,6,9,8] ; [0,1,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 266+846 | d2:6+6+0=12→w2,c1 ; d1:6+4+1=11→w1,c1 ; d0:2+8+1=11→w1,c1 ; sum=1112 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 7, 4, 0 | [0,6,7,4,9] ; [0,4,7,6,9] ; [0,4,6,7,9] ; [0,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=188,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:274 |
base_conversion | base_conversion:decomposition | n=254,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11111110 |
list_summation | list_summation:right-to-left | 6, 7, 8, 4 | 8+4=12 ; 7+12=19 ; 6+19=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=-9 | 9x-18=-9 ; 9x=9 ; x=1 |
list_summation | list_summation:right-to-left | 5, 1, 0, 0 | 0+0=0 ; 1+0=1 ; 5+1=6 |
list_summation | list_summation:left-to-right | 7, 6, 2, 4 | 7+6=13 ; 13+2=15 ; 15+4=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,3) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,3) | D:(2,2) ; D:(3,2) ; R:(3,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 210+782 | p100:200+700=900 ; p10:10+80=90 ; p1:0+2=2 ; sum=900+90+2=992 |
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:left-to-right | 9, 3, 6, 4 | 9+3=12 ; 12+6=18 ; 18+4=22 |
base_conversion | base_conversion:via-binary | n=198,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:3012 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-15 | 5x-30=-15 ; 5x=15 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,4) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 2, 0, 1 | [1,3,2,0,5] ; [3,1,2,0,5] ; [0,1,2,3,5] ; [2,1,0,3,5] ; [0,1,2,3,5] ; [1,0,2,3,5] ; [0,1,2,3,5] |
list_summation | list_summation:pairwise | 4, 8, 3, 6 | 4+8=12 ; 3+6=9 ; 12+9=21 |
list_summation | list_summation:right-to-left | 5, 3, 2, 2 | 2+2=4 ; 3+4=7 ; 5+7=12 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 6, 4, 5 | [3,6,7,4,5] ; [3,6,4,7,5] ; [3,6,4,5,7] ; [3,4,6,5,7] ; [3,4,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=-8 | 4x-16=-8 ; 4x=8 ; x=2 |
base_conversion | base_conversion:via-binary | n=127,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:7 ; CHUNK:2:7 ; OUT:177 |
list_summation | list_summation:right-to-left | 9, 4, 6, 7 | 6+7=13 ; 4+13=17 ; 9+17=26 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-96 | 8x-56=-96 ; 8x=-40 ; x=-5 |
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) |
list_summation | list_summation:left-to-right | 1, 4, 3, 6 | 1+4=5 ; 5+3=8 ; 8+6=14 |
base_conversion | base_conversion:via-binary | n=239,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:15 ; OUT:EF |
base_conversion | base_conversion:decomposition | n=57,base=2 | 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:111001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 710+367 | p100:700+300=1000 ; p10:10+60=70 ; p1:0+7=7 ; sum=1000+70+7=1077 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,3) | R:(0,3) ; D:(1,3) ; D:(2,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 9, 6, 5 | [1,4,9,6,5] ; [1,4,6,9,5] ; [1,4,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+12=26 | 2x+12=26 ; x=(26-12)/2 ; x=14/2 ; x=7 |
base_conversion | base_conversion:repeated-division | n=66,base=4 | DIV:66/4=16,r:2 ; DIV:16/4=4,r:0 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1002 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=-5 | 5x+10=-5 ; x=(-5-10)/5 ; x=-15/5 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+15=-6 | 3x+15=-6 ; 3x=-21 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 823+383 | round:830+383=1213 ; adjust:1213-7=1206 ; sum=1206 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 5, 6, 8 | [0,3,5,6,8] ; [0,3,5,6,8] ; [0,3,5,6,8] ; [0,3,5,6,8] |
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