task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 5, 2, 3 | [6,8,5,2,3] ; [5,6,8,2,3] ; [2,5,6,8,3] ; [2,3,5,6,8] |
list_summation | list_summation:left-to-right | 3, 9, 3, 4 | 3+9=12 ; 12+3=15 ; 15+4=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 7, 2, 0 | [1,8,7,2,0] ; [1,7,8,2,0] ; [1,7,2,8,0] ; [1,7,2,0,8] ; [1,2,7,0,8] ; [1,2,0,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
list_summation | list_summation:pairwise | 8, 4, 8, 7 | 8+4=12 ; 8+7=15 ; 12+15=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-15=0 | 3x-15=0 ; x=(0--15)/3 ; x=15/3 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 9, 6, 3, 0 | [0,9,6,3,1] ; [0,1,6,3,9] ; [0,1,3,6,9] ; [0,1,3,6,9] |
list_summation | list_summation:pairwise | 5, 6, 3, 4 | 5+6=11 ; 3+4=7 ; 11+7=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 4, 2, 9 | [6,4,8,2,9] ; [6,4,2,8,9] ; [4,6,2,8,9] ; [4,2,6,8,9] ; [2,4,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=60 | 6x+30=60 ; x+5=10 ; x=10-5 ; x=5 |
list_summation | list_summation:pairwise | 5, 8, 8, 7 | 5+8=13 ; 8+7=15 ; 13+15=28 |
multidigit_addition | multidigit_addition:left-to-right-partials | 375+628 | p100:300+600=900 ; p10:70+20=90 ; p1:5+8=13 ; sum=900+90+13=1003 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,5) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 529+119 | p100:500+100=600 ; p10:20+10=30 ; p1:9+9=18 ; sum=600+30+18=648 |
multidigit_addition | multidigit_addition:left-to-right-partials | 453+132 | p100:400+100=500 ; p10:50+30=80 ; p1:3+2=5 ; sum=500+80+5=585 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=25 | 5x+45=25 ; 5x=-20 ; x=-4 |
list_summation | list_summation:right-to-left | 8, 5, 2, 0 | 2+0=2 ; 5+2=7 ; 8+7=15 |
base_conversion | base_conversion:via-binary | n=20,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:4 ; OUT:14 |
list_summation | list_summation:pairwise | 4, 2, 1, 6 | 4+2=6 ; 1+6=7 ; 6+7=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=18 | 9x+54=18 ; x=(18-54)/9 ; x=-36/9 ; x=-4 |
base_conversion | base_conversion:decomposition | n=27,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11011 |
list_summation | list_summation:pairwise | 9, 2, 0, 5 | 9+2=11 ; 0+5=5 ; 11+5=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 576+543 | p100:500+500=1000 ; p10:70+40=110 ; p1:6+3=9 ; sum=1000+110+9=1119 |
list_summation | list_summation:left-to-right | 4, 5, 7, 9 | 4+5=9 ; 9+7=16 ; 16+9=25 |
list_summation | list_summation:left-to-right | 4, 0, 8, 5 | 4+0=4 ; 4+8=12 ; 12+5=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 668+767 | d2:8+7+0=15→w5,c1 ; d1:6+6+1=13→w3,c1 ; d0:6+7+1=14→w4,c1 ; sum=1435 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 2, 8, 4 | [1,2,9,8,4] ; [1,2,8,9,4] ; [1,2,8,4,9] ; [1,2,4,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=24 | 6x+48=24 ; x+8=4 ; x=4-8 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 6, 4, 1 | [1,2,6,4,5] ; [1,2,6,4,5] ; [1,2,4,6,5] ; [1,2,4,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 741+688 | round:750+688=1438 ; adjust:1438-9=1429 ; sum=1429 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:repeated-division | n=150,base=2 | DIV:150/2=75,r:0 ; DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010110 |
multidigit_addition | multidigit_addition:rounding-decomposition | 333+424 | round:340+424=764 ; adjust:764-7=757 ; sum=757 |
multidigit_addition | multidigit_addition:right-to-left-carry | 703+560 | d2:3+0+0=3→w3,c0 ; d1:0+6+0=6→w6,c0 ; d0:7+5+0=12→w2,c1 ; sum=1263 |
multidigit_addition | multidigit_addition:left-to-right-partials | 978+209 | p100:900+200=1100 ; p10:70+0=70 ; p1:8+9=17 ; sum=1100+70+17=1187 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=-18 | 3x+9=-18 ; x=(-18-9)/3 ; x=-27/3 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=-21 | 7x+14=-21 ; 7x=-35 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=20 | 4x-16=20 ; 4x=36 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=40 | 4x+8=40 ; x+2=10 ; x=10-2 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 6, 0, 9 | [2,3,0,6,9] ; [0,2,3,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 655+169 | round:660+169=829 ; adjust:829-5=824 ; sum=824 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=32 | 4x+0=32 ; 4x=32 ; x=8 |
base_conversion | base_conversion:decomposition | n=116,base=2 | TERM:1*2^6=64 ; 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:1110100 |
base_conversion | base_conversion:via-binary | n=102,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1100110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 496+911 | p100:400+900=1300 ; p10:90+10=100 ; p1:6+1=7 ; sum=1300+100+7=1407 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
list_summation | list_summation:pairwise | 3, 2, 9, 8 | 3+2=5 ; 9+8=17 ; 5+17=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=48 | 6x+24=48 ; x=(48-24)/6 ; x=24/6 ; x=4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 8, 6, 1, 2 | [4,8,6,1,2] ; [4,6,8,1,2] ; [1,4,6,8,2] ; [1,2,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 829+562 | round:830+562=1392 ; adjust:1392-1=1391 ; sum=1391 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 4, 3, 7, 1 | [4,9,3,7,1] ; [3,4,9,7,1] ; [3,4,7,9,1] ; [1,3,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=-49 | 7x+0=-49 ; 7x=-49 ; x=-7 |
list_summation | list_summation:right-to-left | 4, 9, 9, 5 | 9+5=14 ; 9+14=23 ; 4+23=27 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=64 | 4x+28=64 ; x=(64-28)/4 ; x=36/4 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 0, 3, 1 | [0,2,3,6,1] ; [0,1,2,3,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=-36 | 6x-48=-36 ; x=(-36--48)/6 ; x=12/6 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 7, 2, 6 | [3,9,2,7,6] ; [2,3,7,9,6] ; [2,3,6,7,9] |
list_summation | list_summation:left-to-right | 4, 5, 5, 9 | 4+5=9 ; 9+5=14 ; 14+9=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 358+444 | d2:8+4+0=12→w2,c1 ; d1:5+4+1=10→w0,c1 ; d0:3+4+1=8→w8,c0 ; sum=802 |
base_conversion | base_conversion:via-binary | n=229,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3211 |
multidigit_addition | multidigit_addition:rounding-decomposition | 989+203 | round:990+203=1193 ; adjust:1193-1=1192 ; sum=1192 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 6, 2, 8 | [4,8,6,2,3] ; [8,4,6,2,3] ; [3,4,6,2,8] ; [6,4,3,2,8] ; [2,4,3,6,8] ; [4,2,3,6,8] ; [3,2,4,6,8] ; [2,3,4,6,8] |
base_conversion | base_conversion:via-binary | n=93,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:5 ; OUT:135 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=77 | 7x+21=77 ; 7x=56 ; x=8 |
list_summation | list_summation:right-to-left | 4, 9, 8, 5 | 8+5=13 ; 9+13=22 ; 4+22=26 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 0, 1, 8, 0 | 8+0=8 ; 1+8=9 ; 0+9=9 |
base_conversion | base_conversion:repeated-division | n=226,base=2 | DIV:226/2=113,r:0 ; DIV:113/2=56,r:1 ; DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; 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:11100010 |
multidigit_addition | multidigit_addition:left-to-right-partials | 550+386 | p100:500+300=800 ; p10:50+80=130 ; p1:0+6=6 ; sum=800+130+6=936 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 157+194 | round:160+194=354 ; adjust:354-3=351 ; sum=351 |
list_summation | list_summation:right-to-left | 8, 1, 5, 9 | 5+9=14 ; 1+14=15 ; 8+15=23 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 2, 3, 4 | [8,1,2,3,4] ; [8,4,2,3,1] ; [1,4,2,3,8] ; [4,1,2,3,8] ; [4,3,2,1,8] ; [1,3,2,4,8] ; [3,1,2,4,8] ; [2,1,3,4,8] ; [1,2,3,4,8] |
base_conversion | base_conversion:decomposition | n=165,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:5*8^0=5 ; OUT:245 |
multidigit_addition | multidigit_addition:rounding-decomposition | 839+987 | round:840+987=1827 ; adjust:1827-1=1826 ; sum=1826 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,4) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 2, 5, 0, 4 | [9,4,5,0,2] ; [2,4,5,0,9] ; [5,4,2,0,9] ; [0,4,2,5,9] ; [4,0,2,5,9] ; [2,0,4,5,9] ; [0,2,4,5,9] |
base_conversion | base_conversion:via-binary | n=66,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:2 ; OUT:102 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 0, 5, 9 | [6,8,0,5,9] ; [0,6,8,5,9] ; [0,5,6,8,9] ; [0,5,6,8,9] |
list_summation | list_summation:pairwise | 9, 0, 0, 3 | 9+0=9 ; 0+3=3 ; 9+3=12 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 4, 8, 5 | [0,4,7,8,5] ; [0,4,5,7,8] |
list_summation | list_summation:pairwise | 5, 4, 5, 2 | 5+4=9 ; 5+2=7 ; 9+7=16 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 7, 0, 2 | [2,6,7,0,8] ; [7,6,2,0,8] ; [0,6,2,7,8] ; [6,0,2,7,8] ; [2,0,6,7,8] ; [0,2,6,7,8] |
base_conversion | base_conversion:repeated-division | n=2,base=4 | DIV:2/4=0,r:2 ; OUT:2 |
base_conversion | base_conversion:via-binary | n=229,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3211 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:decomposition | n=46,base=8 | TERM:5*8^1=40 ; TERM:6*8^0=6 ; OUT:56 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=165,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:5 ; OUT:A5 |
base_conversion | base_conversion:decomposition | n=172,base=16 | TERM:10*16^1=160 ; TERM:12*16^0=12 ; OUT:AC |
multidigit_addition | multidigit_addition:rounding-decomposition | 150+373 | round:150+373=523 ; adjust:523-0=523 ; sum=523 |
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