task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-25=-55 | 5x-25=-55 ; 5x=-30 ; x=-6 |
base_conversion | base_conversion:via-binary | n=68,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1010 |
list_summation | list_summation:left-to-right | 0, 6, 4, 8 | 0+6=6 ; 6+4=10 ; 10+8=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+0=-40 | 8x+0=-40 ; x+0=-5 ; x=-5-0 ; x=-5 |
list_summation | list_summation:left-to-right | 6, 6, 4, 3 | 6+6=12 ; 12+4=16 ; 16+3=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 0, 9, 3 | [1,0,7,9,3] ; [1,0,7,3,9] ; [0,1,7,3,9] ; [0,1,3,7,9] |
base_conversion | base_conversion:repeated-division | n=54,base=8 | DIV:54/8=6,r:6 ; DIV:6/8=0,r:6 ; OUT:66 |
list_summation | list_summation:left-to-right | 7, 0, 8, 5 | 7+0=7 ; 7+8=15 ; 15+5=20 |
list_summation | list_summation:left-to-right | 8, 3, 9, 1 | 8+3=11 ; 11+9=20 ; 20+1=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,2) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
base_conversion | base_conversion:decomposition | n=222,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:11011110 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-42=-18 | 6x-42=-18 ; 6x=24 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 902+684 | round:910+684=1594 ; adjust:1594-8=1586 ; sum=1586 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=9 | 3x-9=9 ; x=(9--9)/3 ; x=18/3 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 6, 7, 1 | [0,8,6,7,1] ; [0,6,7,8,1] ; [0,1,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 6, 2, 3 | [3,5,6,2,8] ; [6,5,3,2,8] ; [2,5,3,6,8] ; [5,2,3,6,8] ; [3,2,5,6,8] ; [2,3,5,6,8] |
base_conversion | base_conversion:via-binary | n=33,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:1 ; OUT:41 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 0, 4, 3 | [2,0,6,4,3] ; [2,0,4,6,3] ; [2,0,4,3,6] ; [0,2,4,3,6] ; [0,2,3,4,6] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 7, 6, 0 | [4,6,7,3,0] ; [7,6,4,3,0] ; [0,6,4,3,7] ; [6,0,4,3,7] ; [6,3,4,0,7] ; [0,3,4,6,7] ; [4,3,0,6,7] ; [0,3,4,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=-15 | 5x+25=-15 ; x=(-15-25)/5 ; x=-40/5 ; x=-8 |
list_summation | list_summation:right-to-left | 8, 6, 3, 6 | 3+6=9 ; 6+9=15 ; 8+15=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-14=-16 | 2x-14=-16 ; 2x=-2 ; x=-1 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 7, 0, 1, 8 | [0,7,6,1,8] ; [0,1,6,7,8] ; [0,1,6,7,8] ; [0,1,6,7,8] |
list_summation | list_summation:right-to-left | 1, 0, 4, 7 | 4+7=11 ; 0+11=11 ; 1+11=12 |
list_summation | list_summation:pairwise | 2, 4, 1, 2 | 2+4=6 ; 1+2=3 ; 6+3=9 |
list_summation | list_summation:pairwise | 4, 5, 8, 5 | 4+5=9 ; 8+5=13 ; 9+13=22 |
multidigit_addition | multidigit_addition:left-to-right-partials | 735+496 | p100:700+400=1100 ; p10:30+90=120 ; p1:5+6=11 ; sum=1100+120+11=1231 |
list_summation | list_summation:right-to-left | 9, 0, 4, 0 | 4+0=4 ; 0+4=4 ; 9+4=13 |
list_summation | list_summation:pairwise | 7, 6, 1, 1 | 7+6=13 ; 1+1=2 ; 13+2=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,1) | R:(1,1) ; D:(2,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=50 | 5x+30=50 ; x+6=10 ; x=10-6 ; x=4 |
list_summation | list_summation:pairwise | 5, 9, 0, 3 | 5+9=14 ; 0+3=3 ; 14+3=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-40 | 8x-48=-40 ; x=(-40--48)/8 ; x=8/8 ; x=1 |
base_conversion | base_conversion:decomposition | n=226,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:342 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 9, 8, 6, 7 | [9,3,8,6,7] ; [9,7,8,6,3] ; [3,7,8,6,9] ; [8,7,3,6,9] ; [6,7,3,8,9] ; [7,6,3,8,9] ; [3,6,7,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 0, 6, 7 | [1,8,0,6,7] ; [1,0,8,6,7] ; [1,0,6,8,7] ; [1,0,6,7,8] ; [0,1,6,7,8] |
list_summation | list_summation:left-to-right | 5, 8, 9, 2 | 5+8=13 ; 13+9=22 ; 22+2=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+18=15 | 3x+18=15 ; x+6=5 ; x=5-6 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=36 | 6x-18=36 ; x=(36--18)/6 ; x=54/6 ; x=9 |
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) |
base_conversion | base_conversion:repeated-division | n=188,base=2 | DIV:188/2=94,r:0 ; DIV:94/2=47,r:0 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; 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:10111100 |
list_summation | list_summation:pairwise | 3, 0, 1, 3 | 3+0=3 ; 1+3=4 ; 3+4=7 |
base_conversion | base_conversion:decomposition | n=183,base=8 | TERM:2*8^2=128 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:267 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-24 | 2x-16=-24 ; 2x=-8 ; x=-4 |
list_summation | list_summation:left-to-right | 1, 6, 7, 5 | 1+6=7 ; 7+7=14 ; 14+5=19 |
base_conversion | base_conversion:via-binary | n=81,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:121 |
multidigit_addition | multidigit_addition:left-to-right-partials | 725+556 | p100:700+500=1200 ; p10:20+50=70 ; p1:5+6=11 ; sum=1200+70+11=1281 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 5, 2, 6 | [1,8,5,2,6] ; [1,5,8,2,6] ; [1,2,5,8,6] ; [1,2,5,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 4, 7, 5 | [2,7,4,0,5] ; [7,2,4,0,5] ; [7,5,4,0,2] ; [2,5,4,0,7] ; [5,2,4,0,7] ; [0,2,4,5,7] ; [4,2,0,5,7] ; [0,2,4,5,7] ; [2,0,4,5,7] ; [0,2,4,5,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-72=-88 | 8x-72=-88 ; x+-9=-11 ; x=-11--9 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 4, 3, 9 | [5,4,7,3,9] ; [5,4,3,7,9] ; [4,5,3,7,9] ; [4,3,5,7,9] ; [3,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=131,base=16 | TERM:8*16^1=128 ; TERM:3*16^0=3 ; OUT:83 |
list_summation | list_summation:left-to-right | 5, 3, 0, 1 | 5+3=8 ; 8+0=8 ; 8+1=9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 5, 3, 2 | [4,6,5,3,2] ; [4,5,6,3,2] ; [3,4,5,6,2] ; [2,3,4,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 594+939 | d2:4+9+0=13→w3,c1 ; d1:9+3+1=13→w3,c1 ; d0:5+9+1=15→w5,c1 ; sum=1533 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 6, 2, 1, 4 | 1+4=5 ; 2+5=7 ; 6+7=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 238+454 | p100:200+400=600 ; p10:30+50=80 ; p1:8+4=12 ; sum=600+80+12=692 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=45 | 5x+40=45 ; x=(45-40)/5 ; x=5/5 ; x=1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 3, 2, 1 | [0,5,3,2,1] ; [0,3,5,2,1] ; [0,2,3,5,1] ; [0,1,2,3,5] |
base_conversion | base_conversion:repeated-division | n=108,base=8 | DIV:108/8=13,r:4 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:154 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 2, 9, 7 | [2,6,8,9,7] ; [2,6,7,8,9] |
base_conversion | base_conversion:decomposition | n=141,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:2031 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=-96 | 8x-64=-96 ; x=(-96--64)/8 ; x=-32/8 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 9, 7, 0, 2 | [0,9,7,1,2] ; [0,1,7,9,2] ; [0,1,2,9,7] ; [0,1,2,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 484+164 | round:490+164=654 ; adjust:654-6=648 ; sum=648 |
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) |
list_summation | list_summation:left-to-right | 1, 0, 1, 0 | 1+0=1 ; 1+1=2 ; 2+0=2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 915+163 | round:920+163=1083 ; adjust:1083-5=1078 ; sum=1078 |
base_conversion | base_conversion:via-binary | n=138,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2022 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=-48 | 8x-24=-48 ; x+-3=-6 ; x=-6--3 ; x=-3 |
list_summation | list_summation:left-to-right | 0, 8, 0, 1 | 0+8=8 ; 8+0=8 ; 8+1=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-36 | 4x-36=-36 ; x=(-36--36)/4 ; x=0/4 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=-30 | 5x-10=-30 ; x+-2=-6 ; x=-6--2 ; x=-4 |
list_summation | list_summation:pairwise | 5, 9, 3, 5 | 5+9=14 ; 3+5=8 ; 14+8=22 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 9, 7, 3 | [6,8,9,7,3] ; [6,8,9,7,3] ; [6,7,8,9,3] ; [3,6,7,8,9] |
base_conversion | base_conversion:decomposition | n=17,base=8 | TERM:2*8^1=16 ; TERM:1*8^0=1 ; OUT:21 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 3, 9, 8 | [3,4,6,9,8] ; [3,4,6,8,9] |
list_summation | list_summation:left-to-right | 3, 7, 7, 5 | 3+7=10 ; 10+7=17 ; 17+5=22 |
list_summation | list_summation:pairwise | 9, 1, 8, 4 | 9+1=10 ; 8+4=12 ; 10+12=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 371+631 | d2:1+1+0=2→w2,c0 ; d1:7+3+0=10→w0,c1 ; d0:3+6+1=10→w0,c1 ; sum=1002 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 4, 0, 2 | [7,9,4,0,2] ; [4,7,9,0,2] ; [0,4,7,9,2] ; [0,2,4,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,3) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) |
base_conversion | base_conversion:decomposition | n=73,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:1*8^0=1 ; OUT:111 |
multidigit_addition | multidigit_addition:left-to-right-partials | 631+953 | p100:600+900=1500 ; p10:30+50=80 ; p1:1+3=4 ; sum=1500+80+4=1584 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=60 | 6x+42=60 ; x=(60-42)/6 ; x=18/6 ; x=3 |
base_conversion | base_conversion:repeated-division | n=223,base=16 | DIV:223/16=13,r:15 ; DIV:13/16=0,r:13 ; OUT:DF |
multidigit_addition | multidigit_addition:right-to-left-carry | 517+523 | d2:7+3+0=10→w0,c1 ; d1:1+2+1=4→w4,c0 ; d0:5+5+0=10→w0,c1 ; sum=1040 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 2, 9, 4, 3 | 4+3=7 ; 9+7=16 ; 2+16=18 |
list_summation | list_summation:pairwise | 0, 5, 0, 4 | 0+5=5 ; 0+4=4 ; 5+4=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=-36 | 4x-4=-36 ; x+-1=-9 ; x=-9--1 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=0 | 4x-36=0 ; x+-9=0 ; x=0--9 ; x=9 |
list_summation | list_summation:left-to-right | 6, 7, 9, 0 | 6+7=13 ; 13+9=22 ; 22+0=22 |
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