task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 993+789 | p100:900+700=1600 ; p10:90+80=170 ; p1:3+9=12 ; sum=1600+170+12=1782 |
list_summation | list_summation:pairwise | 0, 0, 9, 4 | 0+0=0 ; 9+4=13 ; 0+13=13 |
list_summation | list_summation:right-to-left | 7, 5, 9, 6 | 9+6=15 ; 5+15=20 ; 7+20=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,4) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 722+194 | round:730+194=924 ; adjust:924-8=916 ; sum=916 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,2) | D:(3,1) ; D:(4,1) ; R:(4,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 510+636 | round:510+636=1146 ; adjust:1146-0=1146 ; sum=1146 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 3, 9, 1 | [5,7,3,9,1] ; [3,5,7,9,1] ; [3,5,7,9,1] ; [1,3,5,7,9] |
base_conversion | base_conversion:decomposition | n=104,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1101000 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 9, 0, 3, 0 | 9+0=9 ; 3+0=3 ; 9+3=12 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 3, 7, 6 | [0,1,3,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 5, 2, 9 | [0,5,7,2,9] ; [0,5,2,7,9] ; [0,2,5,7,9] |
list_summation | list_summation:pairwise | 0, 5, 1, 5 | 0+5=5 ; 1+5=6 ; 5+6=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,2) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
base_conversion | base_conversion:repeated-division | n=241,base=4 | DIV:241/4=60,r:1 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3301 |
list_summation | list_summation:right-to-left | 8, 3, 5, 1 | 5+1=6 ; 3+6=9 ; 8+9=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 222+499 | d2:2+9+0=11→w1,c1 ; d1:2+9+1=12→w2,c1 ; d0:2+4+1=7→w7,c0 ; sum=721 |
multidigit_addition | multidigit_addition:rounding-decomposition | 315+490 | round:320+490=810 ; adjust:810-5=805 ; sum=805 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-15 | 5x-5=-15 ; x+-1=-3 ; x=-3--1 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 865+266 | d2:5+6+0=11→w1,c1 ; d1:6+6+1=13→w3,c1 ; d0:8+2+1=11→w1,c1 ; sum=1131 |
list_summation | list_summation:pairwise | 8, 1, 1, 5 | 8+1=9 ; 1+5=6 ; 9+6=15 |
base_conversion | base_conversion:repeated-division | n=41,base=4 | DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:221 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 6, 1, 4 | [0,7,6,1,4] ; [0,6,7,1,4] ; [0,1,6,7,4] ; [0,1,4,6,7] |
list_summation | list_summation:pairwise | 4, 1, 7, 4 | 4+1=5 ; 7+4=11 ; 5+11=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 929+698 | round:930+698=1628 ; adjust:1628-1=1627 ; sum=1627 |
base_conversion | base_conversion:via-binary | n=29,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:11101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 7, 8, 0, 2 | [7,9,8,0,2] ; [7,8,9,0,2] ; [7,8,0,9,2] ; [7,8,0,2,9] ; [7,0,8,2,9] ; [7,0,2,8,9] ; [0,7,2,8,9] ; [0,2,7,8,9] |
list_summation | list_summation:pairwise | 7, 3, 8, 0 | 7+3=10 ; 8+0=8 ; 10+8=18 |
base_conversion | base_conversion:repeated-division | n=26,base=2 | DIV:26/2=13,r:0 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11010 |
base_conversion | base_conversion:decomposition | n=26,base=16 | TERM:1*16^1=16 ; TERM:10*16^0=10 ; OUT:1A |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=12 | 4x-20=12 ; x+-5=3 ; x=3--5 ; x=8 |
list_summation | list_summation:right-to-left | 0, 4, 0, 1 | 0+1=1 ; 4+1=5 ; 0+5=5 |
base_conversion | base_conversion:repeated-division | n=39,base=8 | DIV:39/8=4,r:7 ; DIV:4/8=0,r:4 ; OUT:47 |
base_conversion | base_conversion:via-binary | n=83,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:123 |
base_conversion | base_conversion:via-binary | n=231,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 700+689 | round:700+689=1389 ; adjust:1389-0=1389 ; sum=1389 |
multidigit_addition | multidigit_addition:left-to-right-partials | 966+236 | p100:900+200=1100 ; p10:60+30=90 ; p1:6+6=12 ; sum=1100+90+12=1202 |
multidigit_addition | multidigit_addition:left-to-right-partials | 152+612 | p100:100+600=700 ; p10:50+10=60 ; p1:2+2=4 ; sum=700+60+4=764 |
multidigit_addition | multidigit_addition:left-to-right-partials | 540+533 | p100:500+500=1000 ; p10:40+30=70 ; p1:0+3=3 ; sum=1000+70+3=1073 |
multidigit_addition | multidigit_addition:right-to-left-carry | 841+328 | d2:1+8+0=9→w9,c0 ; d1:4+2+0=6→w6,c0 ; d0:8+3+0=11→w1,c1 ; sum=1169 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+6=60 | 6x+6=60 ; 6x=54 ; x=9 |
list_summation | list_summation:right-to-left | 1, 2, 1, 5 | 1+5=6 ; 2+6=8 ; 1+8=9 |
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:pairwise | 1, 5, 4, 6 | 1+5=6 ; 4+6=10 ; 6+10=16 |
list_summation | list_summation:left-to-right | 9, 6, 8, 1 | 9+6=15 ; 15+8=23 ; 23+1=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 260+749 | p100:200+700=900 ; p10:60+40=100 ; p1:0+9=9 ; sum=900+100+9=1009 |
multidigit_addition | multidigit_addition:right-to-left-carry | 412+799 | d2:2+9+0=11→w1,c1 ; d1:1+9+1=11→w1,c1 ; d0:4+7+1=12→w2,c1 ; sum=1211 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 7, 3, 6 | [0,8,7,3,6] ; [0,8,3,7,6] ; [0,3,7,8,6] ; [0,3,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=128 | 8x+72=128 ; x+9=16 ; x=16-9 ; x=7 |
list_summation | list_summation:left-to-right | 7, 3, 0, 3 | 7+3=10 ; 10+0=10 ; 10+3=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 650+535 | d2:0+5+0=5→w5,c0 ; d1:5+3+0=8→w8,c0 ; d0:6+5+0=11→w1,c1 ; sum=1185 |
multidigit_addition | multidigit_addition:right-to-left-carry | 583+470 | d2:3+0+0=3→w3,c0 ; d1:8+7+0=15→w5,c1 ; d0:5+4+1=10→w0,c1 ; sum=1053 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-18=-42 | 3x-18=-42 ; 3x=-24 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 4, 0, 9, 6 | 4+0=4 ; 9+6=15 ; 4+15=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=35 | 7x+0=35 ; 7x=35 ; x=5 |
list_summation | list_summation:right-to-left | 2, 0, 7, 5 | 7+5=12 ; 0+12=12 ; 2+12=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=20 | 5x-15=20 ; x+-3=4 ; x=4--3 ; x=7 |
list_summation | list_summation:left-to-right | 0, 6, 2, 2 | 0+6=6 ; 6+2=8 ; 8+2=10 |
list_summation | list_summation:right-to-left | 4, 9, 6, 4 | 6+4=10 ; 9+10=19 ; 4+19=23 |
base_conversion | base_conversion:via-binary | n=78,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:1032 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=-56 | 8x-24=-56 ; x+-3=-7 ; x=-7--3 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=20 | 4x+4=20 ; x+1=5 ; x=5-1 ; x=4 |
base_conversion | base_conversion:repeated-division | n=194,base=16 | DIV:194/16=12,r:2 ; DIV:12/16=0,r:12 ; OUT:C2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 339+201 | round:340+201=541 ; adjust:541-1=540 ; sum=540 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=-90 | 9x-27=-90 ; x+-3=-10 ; x=-10--3 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 0, 8, 3 | [1,9,0,8,3] ; [0,1,9,8,3] ; [0,1,8,9,3] ; [0,1,3,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 705+590 | p100:700+500=1200 ; p10:0+90=90 ; p1:5+0=5 ; sum=1200+90+5=1295 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 9, 1, 3, 6 | 3+6=9 ; 1+9=10 ; 9+10=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 3, 8, 9 | [5,3,7,8,9] ; [3,5,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 412+616 | p100:400+600=1000 ; p10:10+10=20 ; p1:2+6=8 ; sum=1000+20+8=1028 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 1, 5, 8 | [0,3,1,5,8] ; [0,1,3,5,8] ; [0,1,3,5,8] ; [0,1,3,5,8] |
base_conversion | base_conversion:via-binary | n=143,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10001111 |
multidigit_addition | multidigit_addition:left-to-right-partials | 162+391 | p100:100+300=400 ; p10:60+90=150 ; p1:2+1=3 ; sum=400+150+3=553 |
base_conversion | base_conversion:decomposition | n=123,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:1323 |
list_summation | list_summation:pairwise | 0, 2, 2, 9 | 0+2=2 ; 2+9=11 ; 2+11=13 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 2, 5, 9 | [2,7,3,5,9] ; [2,3,7,5,9] ; [2,3,5,7,9] ; [2,3,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 5, 2, 0 | [1,6,5,2,0] ; [1,6,2,5,0] ; [1,2,5,6,0] ; [0,1,2,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-28 | 7x-49=-28 ; x=(-28--49)/7 ; x=21/7 ; x=3 |
list_summation | list_summation:right-to-left | 5, 2, 1, 9 | 1+9=10 ; 2+10=12 ; 5+12=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
list_summation | list_summation:left-to-right | 8, 6, 3, 0 | 8+6=14 ; 14+3=17 ; 17+0=17 |
list_summation | list_summation:right-to-left | 3, 5, 0, 0 | 0+0=0 ; 5+0=5 ; 3+5=8 |
list_summation | list_summation:left-to-right | 1, 3, 5, 4 | 1+3=4 ; 4+5=9 ; 9+4=13 |
base_conversion | base_conversion:repeated-division | n=202,base=4 | DIV:202/4=50,r:2 ; DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3022 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+63=18 | 9x+63=18 ; 9x=-45 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(2,3) | R:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) |
base_conversion | base_conversion:repeated-division | n=21,base=16 | DIV:21/16=1,r:5 ; DIV:1/16=0,r:1 ; OUT:15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-44 | 4x-28=-44 ; 4x=-16 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-18=-21 | 3x-18=-21 ; x+-6=-7 ; x=-7--6 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=-6 | 3x-6=-6 ; x+-2=-2 ; x=-2--2 ; x=0 |
list_summation | list_summation:left-to-right | 0, 8, 3, 9 | 0+8=8 ; 8+3=11 ; 11+9=20 |
list_summation | list_summation:pairwise | 0, 0, 6, 1 | 0+0=0 ; 6+1=7 ; 0+7=7 |
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