task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 5, 0, 9, 5 | 5+0=5 ; 5+9=14 ; 14+5=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 8, 9, 6 | [2,9,8,5,6] ; [9,2,8,5,6] ; [9,6,8,5,2] ; [2,6,8,5,9] ; [8,6,2,5,9] ; [5,6,2,8,9] ; [6,5,2,8,9] ; [2,5,6,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 9, 0, 7, 8 | [0,9,1,7,8] ; [0,1,9,7,8] ; [0,1,7,9,8] ; [0,1,7,8,9] |
list_summation | list_summation:pairwise | 6, 5, 9, 4 | 6+5=11 ; 9+4=13 ; 11+13=24 |
list_summation | list_summation:pairwise | 2, 5, 0, 5 | 2+5=7 ; 0+5=5 ; 7+5=12 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 4, 3, 2 | [1,4,6,3,2] ; [1,4,3,6,2] ; [1,4,3,2,6] ; [1,3,4,2,6] ; [1,3,2,4,6] ; [1,2,3,4,6] |
list_summation | list_summation:right-to-left | 8, 4, 5, 9 | 5+9=14 ; 4+14=18 ; 8+18=26 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 0, 3, 5 | [6,0,9,3,5] ; [6,0,3,9,5] ; [6,0,3,5,9] ; [0,6,3,5,9] ; [0,3,6,5,9] ; [0,3,5,6,9] |
base_conversion | base_conversion:repeated-division | n=12,base=2 | 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:1100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=5 | 5x+35=5 ; 5x=-30 ; x=-6 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 6, 9, 1 | [3,6,8,9,1] ; [1,3,6,8,9] |
base_conversion | base_conversion:via-binary | n=93,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1011101 |
list_summation | list_summation:pairwise | 1, 8, 1, 6 | 1+8=9 ; 1+6=7 ; 9+7=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 211+322 | p100:200+300=500 ; p10:10+20=30 ; p1:1+2=3 ; sum=500+30+3=533 |
multidigit_addition | multidigit_addition:rounding-decomposition | 901+852 | round:910+852=1762 ; adjust:1762-9=1753 ; sum=1753 |
list_summation | list_summation:right-to-left | 8, 0, 0, 8 | 0+8=8 ; 0+8=8 ; 8+8=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=27 | 9x+81=27 ; 9x=-54 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 3, 7, 5 | [0,3,8,7,5] ; [0,3,7,8,5] ; [0,3,7,5,8] ; [0,3,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=-35 | 7x+0=-35 ; 7x=-35 ; x=-5 |
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) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 5, 3, 6, 8 | [3,5,4,6,8] ; [3,4,5,6,8] ; [3,4,5,6,8] ; [3,4,5,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 911+509 | round:920+509=1429 ; adjust:1429-9=1420 ; sum=1420 |
multidigit_addition | multidigit_addition:right-to-left-carry | 386+886 | d2:6+6+0=12→w2,c1 ; d1:8+8+1=17→w7,c1 ; d0:3+8+1=12→w2,c1 ; sum=1272 |
multidigit_addition | multidigit_addition:right-to-left-carry | 110+638 | d2:0+8+0=8→w8,c0 ; d1:1+3+0=4→w4,c0 ; d0:1+6+0=7→w7,c0 ; sum=748 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 4, 5, 7, 9 | [4,8,5,7,9] ; [4,5,8,7,9] ; [4,5,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-51 | 3x-27=-51 ; x=(-51--27)/3 ; x=-24/3 ; x=-8 |
list_summation | list_summation:right-to-left | 4, 1, 5, 4 | 5+4=9 ; 1+9=10 ; 4+10=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=21 | 7x+35=21 ; x=(21-35)/7 ; x=-14/7 ; x=-2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 8, 4, 0 | [1,5,4,8,0] ; [1,5,4,0,8] ; [1,4,5,0,8] ; [1,4,0,5,8] ; [1,0,4,5,8] ; [0,1,4,5,8] |
base_conversion | base_conversion:repeated-division | n=138,base=16 | DIV:138/16=8,r:10 ; DIV:8/16=0,r:8 ; OUT:8A |
list_summation | list_summation:left-to-right | 1, 6, 2, 9 | 1+6=7 ; 7+2=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 177+863 | d2:7+3+0=10→w0,c1 ; d1:7+6+1=14→w4,c1 ; d0:1+8+1=10→w0,c1 ; sum=1040 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:repeated-division | n=132,base=8 | DIV:132/8=16,r:4 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:204 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,3) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=60 | 6x+24=60 ; x=(60-24)/6 ; x=36/6 ; x=6 |
list_summation | list_summation:right-to-left | 5, 5, 2, 2 | 2+2=4 ; 5+4=9 ; 5+9=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=227,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:3*8^0=3 ; OUT:343 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 1, 5, 3, 2 | [0,1,5,3,2] ; [0,1,5,3,2] ; [0,1,3,5,2] ; [0,1,2,3,5] |
list_summation | list_summation:right-to-left | 6, 1, 5, 3 | 5+3=8 ; 1+8=9 ; 6+9=15 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 0, 5, 2, 9 | [3,9,5,2,0] ; [9,3,5,2,0] ; [0,3,5,2,9] ; [5,3,0,2,9] ; [2,3,0,5,9] ; [3,2,0,5,9] ; [0,2,3,5,9] ; [2,0,3,5,9] ; [0,2,3,5,9] |
list_summation | list_summation:left-to-right | 1, 2, 1, 5 | 1+2=3 ; 3+1=4 ; 4+5=9 |
base_conversion | base_conversion:via-binary | n=185,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2321 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 3, 1, 0 | [0,2,3,1,4] ; [3,2,0,1,4] ; [1,2,0,3,4] ; [2,1,0,3,4] ; [0,1,2,3,4] ; [1,0,2,3,4] ; [0,1,2,3,4] |
multidigit_addition | multidigit_addition:left-to-right-partials | 660+887 | p100:600+800=1400 ; p10:60+80=140 ; p1:0+7=7 ; sum=1400+140+7=1547 |
multidigit_addition | multidigit_addition:right-to-left-carry | 904+758 | d2:4+8+0=12→w2,c1 ; d1:0+5+1=6→w6,c0 ; d0:9+7+0=16→w6,c1 ; sum=1662 |
base_conversion | base_conversion:via-binary | n=95,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:1133 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 4, 6, 1 | [8,6,4,5,1] ; [1,6,4,5,8] ; [6,1,4,5,8] ; [6,5,4,1,8] ; [1,5,4,6,8] ; [5,1,4,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 598+171 | p100:500+100=600 ; p10:90+70=160 ; p1:8+1=9 ; sum=600+160+9=769 |
base_conversion | base_conversion:repeated-division | n=238,base=16 | DIV:238/16=14,r:14 ; DIV:14/16=0,r:14 ; OUT:EE |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 1, 3, 3, 2 | 3+2=5 ; 3+5=8 ; 1+8=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-14 | 7x-49=-14 ; x=(-14--49)/7 ; x=35/7 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 8, 3, 7 | [0,2,8,3,7] ; [0,2,8,3,7] ; [0,2,3,8,7] ; [0,2,3,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=-27 | 9x+0=-27 ; x+0=-3 ; x=-3-0 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-78 | 6x-48=-78 ; 6x=-30 ; x=-5 |
list_summation | list_summation:pairwise | 9, 8, 0, 4 | 9+8=17 ; 0+4=4 ; 17+4=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-36=-99 | 9x-36=-99 ; x+-4=-11 ; x=-11--4 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-36=0 | 6x-36=0 ; x=(0--36)/6 ; x=36/6 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=0 | 3x-9=0 ; x=(0--9)/3 ; x=9/3 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 0, 7, 3 | [8,7,0,2,3] ; [3,7,0,2,8] ; [7,3,0,2,8] ; [2,3,0,7,8] ; [3,2,0,7,8] ; [0,2,3,7,8] ; [2,0,3,7,8] ; [0,2,3,7,8] |
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 |
list_summation | list_summation:left-to-right | 1, 2, 4, 8 | 1+2=3 ; 3+4=7 ; 7+8=15 |
base_conversion | base_conversion:decomposition | n=81,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1010001 |
list_summation | list_summation:pairwise | 2, 8, 8, 6 | 2+8=10 ; 8+6=14 ; 10+14=24 |
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) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 0, 3, 7 | [8,9,0,3,7] ; [0,3,8,9,7] ; [0,3,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 702+153 | round:710+153=863 ; adjust:863-8=855 ; sum=855 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,3) | D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,3) | R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
list_summation | list_summation:right-to-left | 6, 1, 4, 6 | 4+6=10 ; 1+10=11 ; 6+11=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 3, 1, 0 | [6,4,3,1,0] ; [0,4,3,1,6] ; [4,0,3,1,6] ; [4,1,3,0,6] ; [0,1,3,4,6] ; [3,1,0,4,6] ; [0,1,3,4,6] ; [1,0,3,4,6] ; [0,1,3,4,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 2, 3, 8 | [1,4,2,3,8] ; [1,2,4,3,8] ; [1,2,3,4,8] ; [1,2,3,4,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 763+402 | round:770+402=1172 ; adjust:1172-7=1165 ; sum=1165 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=191,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:1*2^0=1 ; OUT:10111111 |
base_conversion | base_conversion:via-binary | n=134,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:6 ; OUT:206 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=21 | 7x+28=21 ; x=(21-28)/7 ; x=-7/7 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 834+863 | p100:800+800=1600 ; p10:30+60=90 ; p1:4+3=7 ; sum=1600+90+7=1697 |
list_summation | list_summation:left-to-right | 6, 4, 5, 4 | 6+4=10 ; 10+5=15 ; 15+4=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 426+280 | d2:6+0+0=6→w6,c0 ; d1:2+8+0=10→w0,c1 ; d0:4+2+1=7→w7,c0 ; sum=706 |
list_summation | list_summation:left-to-right | 6, 9, 7, 2 | 6+9=15 ; 15+7=22 ; 22+2=24 |
base_conversion | base_conversion:decomposition | n=200,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:3020 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 644+236 | round:650+236=886 ; adjust:886-6=880 ; sum=880 |
base_conversion | base_conversion:via-binary | n=60,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:4 ; OUT:74 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 5, 4, 2, 0 | [3,4,5,2,0] ; [3,4,2,5,0] ; [3,4,2,0,5] ; [3,2,4,0,5] ; [3,2,0,4,5] ; [2,3,0,4,5] ; [2,0,3,4,5] ; [0,2,3,4,5] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 8, 7, 2 | [3,6,7,8,2] ; [3,6,7,2,8] ; [3,6,2,7,8] ; [3,2,6,7,8] ; [2,3,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=15 | 3x+12=15 ; x=(15-12)/3 ; x=3/3 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 8, 9, 3, 2 | [9,8,4,3,2] ; [2,8,4,3,9] ; [8,2,4,3,9] ; [8,3,4,2,9] ; [2,3,4,8,9] ; [4,3,2,8,9] ; [2,3,4,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9] |
base_conversion | base_conversion:repeated-division | n=16,base=2 | 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:10000 |
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