task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 166+257 | round:170+257=427 ; adjust:427-4=423 ; sum=423 |
multidigit_addition | multidigit_addition:rounding-decomposition | 311+202 | round:320+202=522 ; adjust:522-9=513 ; sum=513 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-102 | 6x-54=-102 ; x=(-102--54)/6 ; x=-48/6 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 6, 1, 5 | [3,9,6,1,5] ; [3,9,1,6,5] ; [1,3,6,9,5] ; [1,3,5,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(5,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 622+283 | p100:600+200=800 ; p10:20+80=100 ; p1:2+3=5 ; sum=800+100+5=905 |
multidigit_addition | multidigit_addition:right-to-left-carry | 198+823 | d2:8+3+0=11→w1,c1 ; d1:9+2+1=12→w2,c1 ; d0:1+8+1=10→w0,c1 ; sum=1021 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+63=126 | 9x+63=126 ; x=(126-63)/9 ; x=63/9 ; x=7 |
base_conversion | base_conversion:decomposition | n=4,base=2 | TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 0, 4, 2 | [1,9,0,4,2] ; [1,0,9,4,2] ; [1,0,4,9,2] ; [1,0,4,2,9] ; [0,1,4,2,9] ; [0,1,2,4,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=64 | 8x+24=64 ; x=(64-24)/8 ; x=40/8 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-24=-24 | 6x-24=-24 ; x+-4=-4 ; x=-4--4 ; x=0 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 7, 8, 0 | [5,6,7,8,0] ; [5,6,7,8,0] ; [5,6,7,8,0] ; [0,5,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 0, 6, 7 | [5,7,0,6,3] ; [7,5,0,6,3] ; [7,6,0,5,3] ; [3,6,0,5,7] ; [6,3,0,5,7] ; [6,5,0,3,7] ; [3,5,0,6,7] ; [5,3,0,6,7] ; [0,3,5,6,7] ; [3,0,5,6,7] ; [0,3,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=60 | 6x+54=60 ; x=(60-54)/6 ; x=6/6 ; x=1 |
base_conversion | base_conversion:repeated-division | n=224,base=4 | DIV:224/4=56,r:0 ; DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3200 |
list_summation | list_summation:right-to-left | 6, 5, 3, 6 | 3+6=9 ; 5+9=14 ; 6+14=20 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 1, 9, 4 | [7,9,1,3,4] ; [9,7,1,3,4] ; [4,7,1,3,9] ; [7,4,1,3,9] ; [3,4,1,7,9] ; [4,3,1,7,9] ; [1,3,4,7,9] ; [3,1,4,7,9] ; [1,3,4,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 602+309 | round:610+309=919 ; adjust:919-8=911 ; sum=911 |
base_conversion | base_conversion:via-binary | n=135,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:7 ; OUT:87 |
multidigit_addition | multidigit_addition:rounding-decomposition | 325+357 | round:330+357=687 ; adjust:687-5=682 ; sum=682 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 7, 4, 2 | [6,4,7,1,2] ; [7,4,6,1,2] ; [2,4,6,1,7] ; [6,4,2,1,7] ; [1,4,2,6,7] ; [4,1,2,6,7] ; [2,1,4,6,7] ; [1,2,4,6,7] |
base_conversion | base_conversion:via-binary | n=196,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:4 ; OUT:304 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-120 | 8x-64=-120 ; 8x=-56 ; x=-7 |
list_summation | list_summation:right-to-left | 3, 0, 3, 3 | 3+3=6 ; 0+6=6 ; 3+6=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 833+350 | round:840+350=1190 ; adjust:1190-7=1183 ; sum=1183 |
list_summation | list_summation:right-to-left | 3, 8, 8, 9 | 8+9=17 ; 8+17=25 ; 3+25=28 |
base_conversion | base_conversion:repeated-division | n=114,base=8 | DIV:114/8=14,r:2 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:162 |
base_conversion | base_conversion:repeated-division | n=222,base=16 | DIV:222/16=13,r:14 ; DIV:13/16=0,r:13 ; OUT:DE |
multidigit_addition | multidigit_addition:left-to-right-partials | 997+754 | p100:900+700=1600 ; p10:90+50=140 ; p1:7+4=11 ; sum=1600+140+11=1751 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+42=42 | 6x+42=42 ; x+7=7 ; x=7-7 ; x=0 |
list_summation | list_summation:left-to-right | 2, 6, 2, 1 | 2+6=8 ; 8+2=10 ; 10+1=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 267+655 | round:270+655=925 ; adjust:925-3=922 ; sum=922 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 4, 7, 6, 9 | [4,5,7,6,9] ; [4,5,7,6,9] ; [4,5,6,7,9] ; [4,5,6,7,9] |
base_conversion | base_conversion:via-binary | n=73,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:1021 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=0 | 6x+18=0 ; 6x=-18 ; x=-3 |
list_summation | list_summation:left-to-right | 9, 1, 9, 9 | 9+1=10 ; 10+9=19 ; 19+9=28 |
multidigit_addition | multidigit_addition:left-to-right-partials | 513+286 | p100:500+200=700 ; p10:10+80=90 ; p1:3+6=9 ; sum=700+90+9=799 |
base_conversion | base_conversion:via-binary | n=93,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:13 ; OUT:5D |
list_summation | list_summation:pairwise | 9, 1, 5, 2 | 9+1=10 ; 5+2=7 ; 10+7=17 |
base_conversion | base_conversion:via-binary | n=159,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:7 ; OUT:237 |
multidigit_addition | multidigit_addition:right-to-left-carry | 266+231 | d2:6+1+0=7→w7,c0 ; d1:6+3+0=9→w9,c0 ; d0:2+2+0=4→w4,c0 ; sum=497 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 8, 9, 6 | [3,5,8,9,6] ; [3,5,8,9,6] ; [3,5,8,9,6] ; [3,5,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=-12 | 2x+0=-12 ; x=(-12-0)/2 ; x=-12/2 ; x=-6 |
list_summation | list_summation:left-to-right | 6, 9, 1, 2 | 6+9=15 ; 15+1=16 ; 16+2=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-36=-36 | 9x-36=-36 ; x+-4=-4 ; x=-4--4 ; x=0 |
list_summation | list_summation:right-to-left | 7, 5, 8, 6 | 8+6=14 ; 5+14=19 ; 7+19=26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-27 | 3x-27=-27 ; x=(-27--27)/3 ; x=0/3 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 323+797 | round:330+797=1127 ; adjust:1127-7=1120 ; sum=1120 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=-5 | 5x+40=-5 ; x+8=-1 ; x=-1-8 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-24 | 3x-21=-24 ; x+-7=-8 ; x=-8--7 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 8, 3, 6, 1 | [0,8,3,6,1] ; [0,3,8,6,1] ; [0,3,6,8,1] ; [0,1,3,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 627+268 | p100:600+200=800 ; p10:20+60=80 ; p1:7+8=15 ; sum=800+80+15=895 |
multidigit_addition | multidigit_addition:rounding-decomposition | 991+381 | round:1000+381=1381 ; adjust:1381-9=1372 ; sum=1372 |
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 | 8, 3, 5, 0, 4 | [3,8,5,0,4] ; [3,5,8,0,4] ; [3,5,0,8,4] ; [3,5,0,4,8] ; [3,0,5,4,8] ; [3,0,4,5,8] ; [0,3,4,5,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=-15 | 3x-3=-15 ; 3x=-12 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-36 | 3x-12=-36 ; x=(-36--12)/3 ; x=-24/3 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 9, 1, 5 | [1,3,9,4,5] ; [1,3,9,4,5] ; [1,3,4,9,5] ; [1,3,4,5,9] |
base_conversion | base_conversion:via-binary | n=217,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3121 |
multidigit_addition | multidigit_addition:right-to-left-carry | 525+674 | d2:5+4+0=9→w9,c0 ; d1:2+7+0=9→w9,c0 ; d0:5+6+0=11→w1,c1 ; sum=1199 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+6=36 | 6x+6=36 ; 6x=30 ; x=5 |
list_summation | list_summation:right-to-left | 6, 4, 1, 9 | 1+9=10 ; 4+10=14 ; 6+14=20 |
multidigit_addition | multidigit_addition:left-to-right-partials | 737+699 | p100:700+600=1300 ; p10:30+90=120 ; p1:7+9=16 ; sum=1300+120+16=1436 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=99 | 9x+36=99 ; x=(99-36)/9 ; x=63/9 ; x=7 |
base_conversion | base_conversion:decomposition | n=55,base=8 | TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:67 |
multidigit_addition | multidigit_addition:rounding-decomposition | 377+749 | round:380+749=1129 ; adjust:1129-3=1126 ; sum=1126 |
multidigit_addition | multidigit_addition:left-to-right-partials | 397+286 | p100:300+200=500 ; p10:90+80=170 ; p1:7+6=13 ; sum=500+170+13=683 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=0 | 5x+15=0 ; x=(0-15)/5 ; x=-15/5 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:repeated-division | n=138,base=16 | DIV:138/16=8,r:10 ; DIV:8/16=0,r:8 ; OUT:8A |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 0, 8, 3 | [0,1,7,8,3] ; [0,1,7,8,3] ; [0,1,3,8,7] ; [0,1,3,7,8] |
base_conversion | base_conversion:repeated-division | n=174,base=4 | DIV:174/4=43,r:2 ; DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2232 |
list_summation | list_summation:pairwise | 1, 2, 3, 7 | 1+2=3 ; 3+7=10 ; 3+10=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 515+825 | round:520+825=1345 ; adjust:1345-5=1340 ; sum=1340 |
list_summation | list_summation:left-to-right | 7, 4, 0, 3 | 7+4=11 ; 11+0=11 ; 11+3=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 7, 5, 0, 2 | 7+5=12 ; 12+0=12 ; 12+2=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-12 | 6x+12=-12 ; x+2=-2 ; x=-2-2 ; x=-4 |
list_summation | list_summation:pairwise | 0, 5, 6, 7 | 0+5=5 ; 6+7=13 ; 5+13=18 |
base_conversion | base_conversion:decomposition | n=255,base=16 | TERM:15*16^1=240 ; TERM:15*16^0=15 ; OUT:FF |
base_conversion | base_conversion:repeated-division | n=114,base=8 | DIV:114/8=14,r:2 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:162 |
base_conversion | base_conversion:repeated-division | n=72,base=4 | DIV:72/4=18,r:0 ; DIV:18/4=4,r:2 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1020 |
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:down-first | grid=6 ; S=(0,2) ; G=(4,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 4, 3, 9, 8 | [4,5,3,9,8] ; [4,3,5,9,8] ; [4,3,5,8,9] ; [3,4,5,8,9] |
base_conversion | base_conversion:via-binary | n=87,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:7 ; OUT:57 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-24 | 3x-21=-24 ; x=(-24--21)/3 ; x=-3/3 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 234+601 | p100:200+600=800 ; p10:30+0=30 ; p1:4+1=5 ; sum=800+30+5=835 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 4, 0, 9 | [8,9,4,0,2] ; [9,8,4,0,2] ; [2,8,4,0,9] ; [8,2,4,0,9] ; [0,2,4,8,9] ; [4,2,0,8,9] ; [0,2,4,8,9] ; [2,0,4,8,9] ; [0,2,4,8,9] |
base_conversion | base_conversion:repeated-division | n=155,base=8 | DIV:155/8=19,r:3 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:233 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=-42 | 6x-12=-42 ; x=(-42--12)/6 ; x=-30/6 ; x=-5 |
base_conversion | base_conversion:decomposition | n=6,base=8 | TERM:6*8^0=6 ; OUT:6 |
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