task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 2, 9, 8 | [2,6,7,9,8] ; [2,6,7,9,8] ; [2,6,7,9,8] ; [2,6,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 8, 1, 4 | [2,3,1,8,4] ; [1,2,3,8,4] ; [1,2,3,4,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 431+344 | d2:1+4+0=5→w5,c0 ; d1:3+4+0=7→w7,c0 ; d0:4+3+0=7→w7,c0 ; sum=775 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 0, 5, 8, 4 | [0,1,5,8,4] ; [0,1,5,8,4] ; [0,1,5,8,4] ; [0,1,4,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=-54 | 6x-30=-54 ; x=(-54--30)/6 ; x=-24/6 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=12 | 4x-4=12 ; 4x=16 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 816+864 | round:820+864=1684 ; adjust:1684-4=1680 ; sum=1680 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-28=-64 | 4x-28=-64 ; x+-7=-16 ; x=-16--7 ; x=-9 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 7, 6, 0, 4 | [0,7,6,1,4] ; [0,1,6,7,4] ; [0,1,4,7,6] ; [0,1,4,6,7] |
base_conversion | base_conversion:repeated-division | n=170,base=2 | DIV:170/2=85,r:0 ; DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10101010 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 6, 2, 7 | [0,8,6,2,7] ; [0,6,8,2,7] ; [0,2,6,8,7] ; [0,2,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 177+626 | d2:7+6+0=13→w3,c1 ; d1:7+2+1=10→w0,c1 ; d0:1+6+1=8→w8,c0 ; sum=803 |
list_summation | list_summation:pairwise | 3, 2, 2, 1 | 3+2=5 ; 2+1=3 ; 5+3=8 |
base_conversion | base_conversion:decomposition | n=173,base=8 | TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:255 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-32=-32 | 4x-32=-32 ; x=(-32--32)/4 ; x=0/4 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-55 | 5x-20=-55 ; x+-4=-11 ; x=-11--4 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 5, 0, 6, 2 | [0,3,5,6,2] ; [0,2,3,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 6, 8, 1, 8 | 6+8=14 ; 14+1=15 ; 15+8=23 |
multidigit_addition | multidigit_addition:rounding-decomposition | 737+182 | round:740+182=922 ; adjust:922-3=919 ; sum=919 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 760+327 | round:760+327=1087 ; adjust:1087-0=1087 ; sum=1087 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 0, 4, 7 | [2,3,0,4,7] ; [0,2,3,4,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 6, 2, 5 | [1,6,8,2,5] ; [1,6,2,8,5] ; [1,6,2,5,8] ; [1,2,6,5,8] ; [1,2,5,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-14=-12 | 2x-14=-12 ; x+-7=-6 ; x=-6--7 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 1, 0, 2 | [3,8,0,1,2] ; [0,1,3,8,2] ; [0,1,2,3,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 229+903 | d2:9+3+0=12→w2,c1 ; d1:2+0+1=3→w3,c0 ; d0:2+9+0=11→w1,c1 ; sum=1132 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 9, 3, 0 | [9,6,4,3,0] ; [0,6,4,3,9] ; [6,0,4,3,9] ; [6,3,4,0,9] ; [0,3,4,6,9] ; [4,3,0,6,9] ; [0,3,4,6,9] ; [3,0,4,6,9] ; [0,3,4,6,9] |
list_summation | list_summation:left-to-right | 1, 2, 2, 3 | 1+2=3 ; 3+2=5 ; 5+3=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+7=14 | 7x+7=14 ; x+1=2 ; x=2-1 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 4, 7, 1 | [2,4,7,8,1] ; [1,2,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-14 | 2x-8=-14 ; x+-4=-7 ; x=-7--4 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 451+659 | d2:1+9+0=10→w0,c1 ; d1:5+5+1=11→w1,c1 ; d0:4+6+1=11→w1,c1 ; sum=1110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=72 | 8x+56=72 ; x=(72-56)/8 ; x=16/8 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 6, 3, 7 | [3,5,6,9,7] ; [3,5,6,9,7] ; [3,5,6,9,7] ; [3,5,6,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 675+959 | d2:5+9+0=14→w4,c1 ; d1:7+5+1=13→w3,c1 ; d0:6+9+1=16→w6,c1 ; sum=1634 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+36=8 | 4x+36=8 ; x+9=2 ; x=2-9 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 831+789 | round:840+789=1629 ; adjust:1629-9=1620 ; sum=1620 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=4 | 2x+16=4 ; x+8=2 ; x=2-8 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=-8 | 4x-16=-8 ; x=(-8--16)/4 ; x=8/4 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 416+423 | p100:400+400=800 ; p10:10+20=30 ; p1:6+3=9 ; sum=800+30+9=839 |
list_summation | list_summation:right-to-left | 4, 1, 3, 3 | 3+3=6 ; 1+6=7 ; 4+7=11 |
list_summation | list_summation:left-to-right | 0, 5, 3, 1 | 0+5=5 ; 5+3=8 ; 8+1=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 544+615 | round:550+615=1165 ; adjust:1165-6=1159 ; sum=1159 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 3, 4, 2 | [6,8,3,4,2] ; [3,6,8,4,2] ; [3,4,6,8,2] ; [2,3,4,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 6, 2, 5 | [1,9,6,2,5] ; [1,6,9,2,5] ; [1,2,6,9,5] ; [1,2,5,6,9] |
list_summation | list_summation:pairwise | 4, 6, 3, 7 | 4+6=10 ; 3+7=10 ; 10+10=20 |
list_summation | list_summation:left-to-right | 6, 0, 3, 8 | 6+0=6 ; 6+3=9 ; 9+8=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 707+755 | round:710+755=1465 ; adjust:1465-3=1462 ; sum=1462 |
base_conversion | base_conversion:via-binary | n=130,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2002 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=7 | 7x+0=7 ; 7x=7 ; x=1 |
base_conversion | base_conversion:via-binary | n=148,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2110 |
base_conversion | base_conversion:via-binary | n=164,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:4 ; OUT:A4 |
base_conversion | base_conversion:via-binary | n=243,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:3 ; OUT:363 |
multidigit_addition | multidigit_addition:right-to-left-carry | 926+718 | d2:6+8+0=14→w4,c1 ; d1:2+1+1=4→w4,c0 ; d0:9+7+0=16→w6,c1 ; sum=1644 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 7, 4, 0, 1 | [0,7,4,5,1] ; [0,1,4,5,7] ; [0,1,4,5,7] ; [0,1,4,5,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 5, 8, 2 | [1,7,5,8,2] ; [1,5,7,8,2] ; [1,5,7,2,8] ; [1,5,2,7,8] ; [1,2,5,7,8] |
base_conversion | base_conversion:decomposition | n=239,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:3233 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-6=-15 | 3x-6=-15 ; 3x=-9 ; x=-3 |
list_summation | list_summation:right-to-left | 3, 3, 5, 1 | 5+1=6 ; 3+6=9 ; 3+9=12 |
list_summation | list_summation:left-to-right | 0, 8, 5, 4 | 0+8=8 ; 8+5=13 ; 13+4=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 320+210 | p100:300+200=500 ; p10:20+10=30 ; p1:0+0=0 ; sum=500+30+0=530 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=4 | 2x-10=4 ; x=(4--10)/2 ; x=14/2 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=36,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:210 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,3) | R:(1,2) ; D:(2,2) ; R:(2,3) |
base_conversion | base_conversion:via-binary | n=192,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11000000 |
multidigit_addition | multidigit_addition:left-to-right-partials | 113+406 | p100:100+400=500 ; p10:10+0=10 ; p1:3+6=9 ; sum=500+10+9=519 |
list_summation | list_summation:pairwise | 3, 8, 2, 6 | 3+8=11 ; 2+6=8 ; 11+8=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(2,3) | R:(1,3) ; D:(2,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=23,base=8 | TERM:2*8^1=16 ; TERM:7*8^0=7 ; OUT:27 |
base_conversion | base_conversion:repeated-division | n=210,base=8 | DIV:210/8=26,r:2 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:322 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 7, 0, 9 | [1,9,7,0,4] ; [9,1,7,0,4] ; [9,4,7,0,1] ; [1,4,7,0,9] ; [7,4,1,0,9] ; [0,4,1,7,9] ; [4,0,1,7,9] ; [1,0,4,7,9] ; [0,1,4,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 3, 6, 9 | [5,9,3,6,7] ; [9,5,3,6,7] ; [9,7,3,6,5] ; [5,7,3,6,9] ; [7,5,3,6,9] ; [7,6,3,5,9] ; [5,6,3,7,9] ; [6,5,3,7,9] ; [3,5,6,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 8, 1, 7 | [4,7,8,1,3] ; [8,7,4,1,3] ; [3,7,4,1,8] ; [7,3,4,1,8] ; [1,3,4,7,8] ; [4,3,1,7,8] ; [1,3,4,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 657+433 | d2:7+3+0=10→w0,c1 ; d1:5+3+1=9→w9,c0 ; d0:6+4+0=10→w0,c1 ; sum=1090 |
base_conversion | base_conversion:decomposition | n=16,base=8 | TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:20 |
base_conversion | base_conversion:repeated-division | n=203,base=4 | DIV:203/4=50,r:3 ; DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3023 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=112 | 7x+56=112 ; x=(112-56)/7 ; x=56/7 ; x=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 170+121 | p100:100+100=200 ; p10:70+20=90 ; p1:0+1=1 ; sum=200+90+1=291 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 3, 6, 7 | [1,3,9,6,7] ; [1,3,6,9,7] ; [1,3,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,2) | R:(2,2) ; D:(3,2) ; D:(4,2) |
base_conversion | base_conversion:repeated-division | n=34,base=16 | DIV:34/16=2,r:2 ; DIV:2/16=0,r:2 ; OUT:22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 8, 4, 0, 8 | 8+4=12 ; 0+8=8 ; 12+8=20 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-6=4 | 2x-6=4 ; x=(4--6)/2 ; x=10/2 ; x=5 |
list_summation | list_summation:pairwise | 2, 0, 2, 0 | 2+0=2 ; 2+0=2 ; 2+2=4 |
base_conversion | base_conversion:repeated-division | n=128,base=4 | DIV:128/4=32,r:0 ; DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2000 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=91 | 7x+49=91 ; x+7=13 ; x=13-7 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 837+594 | round:840+594=1434 ; adjust:1434-3=1431 ; sum=1431 |
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