task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=222,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11011110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 230+599 | p100:200+500=700 ; p10:30+90=120 ; p1:0+9=9 ; sum=700+120+9=829 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 788+658 | d2:8+8+0=16→w6,c1 ; d1:8+5+1=14→w4,c1 ; d0:7+6+1=14→w4,c1 ; sum=1446 |
base_conversion | base_conversion:decomposition | n=135,base=16 | TERM:8*16^1=128 ; TERM:7*16^0=7 ; OUT:87 |
multidigit_addition | multidigit_addition:left-to-right-partials | 181+415 | p100:100+400=500 ; p10:80+10=90 ; p1:1+5=6 ; sum=500+90+6=596 |
multidigit_addition | multidigit_addition:right-to-left-carry | 474+688 | d2:4+8+0=12→w2,c1 ; d1:7+8+1=16→w6,c1 ; d0:4+6+1=11→w1,c1 ; sum=1162 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-14=0 | 7x-14=0 ; x+-2=0 ; x=0--2 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=16 | 8x-16=16 ; 8x=32 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=75 | 5x+35=75 ; 5x=40 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=9 | 3x+24=9 ; x=(9-24)/3 ; x=-15/3 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 7, 6, 8, 3 | 7+6=13 ; 8+3=11 ; 13+11=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-54=-45 | 9x-54=-45 ; 9x=9 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 564+955 | d2:4+5+0=9→w9,c0 ; d1:6+5+0=11→w1,c1 ; d0:5+9+1=15→w5,c1 ; sum=1519 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 2, 8, 7 | [1,2,6,8,7] ; [1,2,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 244+615 | d2:4+5+0=9→w9,c0 ; d1:4+1+0=5→w5,c0 ; d0:2+6+0=8→w8,c0 ; sum=859 |
multidigit_addition | multidigit_addition:right-to-left-carry | 308+833 | d2:8+3+0=11→w1,c1 ; d1:0+3+1=4→w4,c0 ; d0:3+8+0=11→w1,c1 ; sum=1141 |
multidigit_addition | multidigit_addition:left-to-right-partials | 258+471 | p100:200+400=600 ; p10:50+70=120 ; p1:8+1=9 ; sum=600+120+9=729 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 5, 8, 0 | [6,7,5,8,0] ; [5,6,7,8,0] ; [5,6,7,8,0] ; [0,5,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,2) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
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 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 7, 4, 0 | [2,9,4,7,0] ; [2,4,7,9,0] ; [0,2,4,7,9] |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=231,base=16 | TERM:14*16^1=224 ; TERM:7*16^0=7 ; OUT:E7 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 5, 7, 9, 8 | [3,5,7,8,9] |
base_conversion | base_conversion:decomposition | n=4,base=2 | TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 6, 9, 7 | [3,4,6,9,7] ; [3,4,6,7,9] |
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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 3, 5, 7, 0 | [3,8,5,7,0] ; [3,5,8,7,0] ; [3,5,7,8,0] ; [0,3,5,7,8] |
base_conversion | base_conversion:repeated-division | n=91,base=8 | DIV:91/8=11,r:3 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:133 |
base_conversion | base_conversion:via-binary | n=2,base=2 | BINLEN:2 ; CHUNK:0:1 ; CHUNK:1:0 ; OUT:10 |
list_summation | list_summation:right-to-left | 5, 0, 0, 2 | 0+2=2 ; 0+2=2 ; 5+2=7 |
base_conversion | base_conversion:repeated-division | n=236,base=2 | DIV:236/2=118,r:0 ; DIV:118/2=59,r:0 ; DIV:59/2=29,r:1 ; 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:11101100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 730+878 | p100:700+800=1500 ; p10:30+70=100 ; p1:0+8=8 ; sum=1500+100+8=1608 |
multidigit_addition | multidigit_addition:right-to-left-carry | 750+117 | d2:0+7+0=7→w7,c0 ; d1:5+1+0=6→w6,c0 ; d0:7+1+0=8→w8,c0 ; sum=867 |
base_conversion | base_conversion:via-binary | n=1,base=2 | BINLEN:1 ; CHUNK:0:1 ; OUT:1 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 4, 5, 9 | [2,9,4,5,6] ; [9,2,4,5,6] ; [9,6,4,5,2] ; [2,6,4,5,9] ; [6,2,4,5,9] ; [6,5,4,2,9] ; [2,5,4,6,9] ; [5,2,4,6,9] ; [4,2,5,6,9] ; [2,4,5,6,9] |
base_conversion | base_conversion:via-binary | n=244,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:4 ; OUT:F4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 121+316 | p100:100+300=400 ; p10:20+10=30 ; p1:1+6=7 ; sum=400+30+7=437 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 2, 4, 9 | [2,6,5,4,9] ; [2,4,5,6,9] ; [2,4,5,6,9] ; [2,4,5,6,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 6, 3, 0 | [2,9,3,6,0] ; [2,3,6,9,0] ; [0,2,3,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=16 | 2x-2=16 ; 2x=18 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 976+805 | d2:6+5+0=11→w1,c1 ; d1:7+0+1=8→w8,c0 ; d0:9+8+0=17→w7,c1 ; sum=1781 |
multidigit_addition | multidigit_addition:rounding-decomposition | 385+146 | round:390+146=536 ; adjust:536-5=531 ; sum=531 |
multidigit_addition | multidigit_addition:right-to-left-carry | 290+865 | d2:0+5+0=5→w5,c0 ; d1:9+6+0=15→w5,c1 ; d0:2+8+1=11→w1,c1 ; sum=1155 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-24=24 | 6x-24=24 ; x+-4=4 ; x=4--4 ; x=8 |
list_summation | list_summation:pairwise | 1, 0, 4, 9 | 1+0=1 ; 4+9=13 ; 1+13=14 |
base_conversion | base_conversion:repeated-division | n=244,base=16 | DIV:244/16=15,r:4 ; DIV:15/16=0,r:15 ; OUT:F4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-20=0 | 5x-20=0 ; 5x=20 ; x=4 |
list_summation | list_summation:pairwise | 1, 9, 3, 5 | 1+9=10 ; 3+5=8 ; 10+8=18 |
list_summation | list_summation:left-to-right | 0, 9, 1, 9 | 0+9=9 ; 9+1=10 ; 10+9=19 |
list_summation | list_summation:right-to-left | 9, 7, 9, 1 | 9+1=10 ; 7+10=17 ; 9+17=26 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 1, 0, 3 | [4,7,0,1,3] ; [0,1,4,7,3] ; [0,1,3,4,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 4, 7, 5 | [8,7,4,0,5] ; [5,7,4,0,8] ; [7,5,4,0,8] ; [0,5,4,7,8] ; [5,0,4,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 1, 4, 5, 7 | [8,7,4,5,1] ; [1,7,4,5,8] ; [7,1,4,5,8] ; [7,5,4,1,8] ; [1,5,4,7,8] ; [5,1,4,7,8] ; [4,1,5,7,8] ; [1,4,5,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 714+321 | p100:700+300=1000 ; p10:10+20=30 ; p1:4+1=5 ; sum=1000+30+5=1035 |
list_summation | list_summation:left-to-right | 0, 9, 2, 9 | 0+9=9 ; 9+2=11 ; 11+9=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 9, 3, 6 | [1,4,9,3,6] ; [1,4,9,3,6] ; [1,3,4,9,6] ; [1,3,4,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 2, 7, 0 | [6,7,2,4,0] ; [7,6,2,4,0] ; [0,6,2,4,7] ; [6,0,2,4,7] ; [6,4,2,0,7] ; [0,4,2,6,7] ; [4,0,2,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 8, 1, 2, 8 | 8+1=9 ; 9+2=11 ; 11+8=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+28=-7 | 7x+28=-7 ; x+4=-1 ; x=-1-4 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 1, 7, 9 | [0,1,4,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 722+529 | round:730+529=1259 ; adjust:1259-8=1251 ; sum=1251 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=30 | 6x+30=30 ; 6x=0 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 611+388 | round:620+388=1008 ; adjust:1008-9=999 ; sum=999 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 6, 3, 1 | [1,5,6,3,8] ; [1,3,6,5,8] ; [1,3,5,6,8] ; [1,3,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 3, 8, 2 | [1,5,3,8,2] ; [1,3,5,8,2] ; [1,3,5,8,2] ; [1,2,3,5,8] |
base_conversion | base_conversion:via-binary | n=97,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:1 ; OUT:141 |
base_conversion | base_conversion:repeated-division | n=227,base=4 | DIV:227/4=56,r:3 ; DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3203 |
base_conversion | base_conversion:repeated-division | n=71,base=2 | DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; 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:1000111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-63=-45 | 9x-63=-45 ; x=(-45--63)/9 ; x=18/9 ; x=2 |
base_conversion | base_conversion:decomposition | n=39,base=16 | TERM:2*16^1=32 ; TERM:7*16^0=7 ; OUT:27 |
list_summation | list_summation:pairwise | 4, 5, 3, 1 | 4+5=9 ; 3+1=4 ; 9+4=13 |
list_summation | list_summation:right-to-left | 1, 3, 5, 6 | 5+6=11 ; 3+11=14 ; 1+14=15 |
list_summation | list_summation:right-to-left | 9, 5, 0, 8 | 0+8=8 ; 5+8=13 ; 9+13=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=243,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:3 ; OUT:F3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 2, 1, 6 | [0,9,2,1,6] ; [0,2,9,1,6] ; [0,2,1,9,6] ; [0,2,1,6,9] ; [0,1,2,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 8, 2, 5 | [7,9,8,2,5] ; [7,8,9,2,5] ; [2,7,8,9,5] ; [2,5,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 7, 2, 1 | [1,8,7,2,5] ; [1,2,7,8,5] ; [1,2,5,8,7] ; [1,2,5,7,8] |
base_conversion | base_conversion:via-binary | n=93,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1131 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 6, 3, 7 | [0,4,6,3,7] ; [0,4,6,3,7] ; [0,3,4,6,7] ; [0,3,4,6,7] |
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 |
list_summation | list_summation:right-to-left | 2, 9, 1, 6 | 1+6=7 ; 9+7=16 ; 2+16=18 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=27 | 9x+54=27 ; x=(27-54)/9 ; x=-27/9 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 2, 8, 5 | [4,8,2,7,5] ; [8,4,2,7,5] ; [8,7,2,4,5] ; [5,7,2,4,8] ; [7,5,2,4,8] ; [4,5,2,7,8] ; [5,4,2,7,8] ; [2,4,5,7,8] ; [4,2,5,7,8] ; [2,4,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=42 | 3x+24=42 ; x=(42-24)/3 ; x=18/3 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 482+848 | d2:2+8+0=10→w0,c1 ; d1:8+4+1=13→w3,c1 ; d0:4+8+1=13→w3,c1 ; sum=1330 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=-18 | 6x+30=-18 ; x+5=-3 ; x=-3-5 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=54 | 3x+27=54 ; x+9=18 ; x=18-9 ; x=9 |
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