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 | 969+896 | p100:900+800=1700 ; p10:60+90=150 ; p1:9+6=15 ; sum=1700+150+15=1865 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 1, 9, 4, 5 | [1,7,9,4,5] ; [1,7,9,4,5] ; [1,4,7,9,5] ; [1,4,5,7,9] |
list_summation | list_summation:left-to-right | 0, 5, 8, 2 | 0+5=5 ; 5+8=13 ; 13+2=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-56 | 7x-42=-56 ; 7x=-14 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 8, 9, 5, 6 | [3,8,9,5,6] ; [3,8,9,5,6] ; [3,5,8,9,6] ; [3,5,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+8=-2 | 2x+8=-2 ; x+4=-1 ; x=-1-4 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 5, 6, 0, 2 | [3,5,0,6,2] ; [3,5,0,2,6] ; [3,0,5,2,6] ; [3,0,2,5,6] ; [0,3,2,5,6] ; [0,2,3,5,6] |
list_summation | list_summation:pairwise | 7, 6, 6, 3 | 7+6=13 ; 6+3=9 ; 13+9=22 |
list_summation | list_summation:pairwise | 7, 9, 0, 6 | 7+9=16 ; 0+6=6 ; 16+6=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-80 | 5x-35=-80 ; x+-7=-16 ; x=-16--7 ; x=-9 |
list_summation | list_summation:pairwise | 3, 6, 3, 3 | 3+6=9 ; 3+3=6 ; 9+6=15 |
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:decomposition | n=96,base=16 | TERM:6*16^1=96 ; TERM:0*16^0=0 ; OUT:60 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 8, 5, 7 | [0,6,8,5,7] ; [0,5,8,6,7] ; [0,5,6,8,7] ; [0,5,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 4, 7, 6, 1 | [5,6,7,4,1] ; [7,6,5,4,1] ; [1,6,5,4,7] ; [6,1,5,4,7] ; [6,4,5,1,7] ; [1,4,5,6,7] ; [5,4,1,6,7] ; [1,4,5,6,7] ; [4,1,5,6,7] ; [1,4,5,6,7] |
base_conversion | base_conversion:decomposition | n=132,base=16 | TERM:8*16^1=128 ; TERM:4*16^0=4 ; OUT:84 |
multidigit_addition | multidigit_addition:rounding-decomposition | 247+167 | round:250+167=417 ; adjust:417-3=414 ; sum=414 |
base_conversion | base_conversion:via-binary | n=66,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:2 ; OUT:102 |
list_summation | list_summation:right-to-left | 4, 4, 1, 2 | 1+2=3 ; 4+3=7 ; 4+7=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 649+484 | p100:600+400=1000 ; p10:40+80=120 ; p1:9+4=13 ; sum=1000+120+13=1133 |
multidigit_addition | multidigit_addition:rounding-decomposition | 233+569 | round:240+569=809 ; adjust:809-7=802 ; sum=802 |
multidigit_addition | multidigit_addition:rounding-decomposition | 603+109 | round:610+109=719 ; adjust:719-7=712 ; sum=712 |
base_conversion | base_conversion:repeated-division | n=27,base=4 | DIV:27/4=6,r:3 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:123 |
multidigit_addition | multidigit_addition:right-to-left-carry | 898+274 | d2:8+4+0=12→w2,c1 ; d1:9+7+1=17→w7,c1 ; d0:8+2+1=11→w1,c1 ; sum=1172 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(3,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=-7 | 7x+56=-7 ; x=(-7-56)/7 ; x=-63/7 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 255+305 | d2:5+5+0=10→w0,c1 ; d1:5+0+1=6→w6,c0 ; d0:2+3+0=5→w5,c0 ; sum=560 |
base_conversion | base_conversion:repeated-division | n=129,base=8 | DIV:129/8=16,r:1 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:201 |
multidigit_addition | multidigit_addition:rounding-decomposition | 175+246 | round:180+246=426 ; adjust:426-5=421 ; sum=421 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-24=-78 | 6x-24=-78 ; 6x=-54 ; x=-9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 4, 7, 8 | [2,4,9,7,8] ; [2,4,7,9,8] ; [2,4,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=-9 | 9x+36=-9 ; x=(-9-36)/9 ; x=-45/9 ; x=-5 |
base_conversion | base_conversion:decomposition | n=26,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 1, 6, 8 | [4,9,1,6,8] ; [4,1,9,6,8] ; [4,1,6,9,8] ; [4,1,6,8,9] ; [1,4,6,8,9] |
list_summation | list_summation:right-to-left | 2, 3, 5, 3 | 5+3=8 ; 3+8=11 ; 2+11=13 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 4, 7, 0, 9 | [4,6,7,0,9] ; [4,6,0,7,9] ; [0,4,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 0, 3, 7, 4 | [0,9,3,7,4] ; [0,3,9,7,4] ; [0,3,4,7,9] ; [0,3,4,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 9, 8, 0 | [2,7,9,8,0] ; [2,7,9,8,0] ; [2,7,8,9,0] ; [0,2,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+35=70 | 5x+35=70 ; 5x=35 ; x=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,2) | R:(0,1) ; D:(1,1) ; R:(1,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,4) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:repeated-division | n=111,base=8 | DIV:111/8=13,r:7 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:157 |
multidigit_addition | multidigit_addition:rounding-decomposition | 444+271 | round:450+271=721 ; adjust:721-6=715 ; sum=715 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=60 | 5x+15=60 ; 5x=45 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 522+623 | d2:2+3+0=5→w5,c0 ; d1:2+2+0=4→w4,c0 ; d0:5+6+0=11→w1,c1 ; sum=1145 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 7, 3, 1 | [0,5,7,3,1] ; [0,5,7,3,1] ; [0,3,5,7,1] ; [0,1,3,5,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 8, 5, 6 | [3,9,8,5,6] ; [3,5,8,9,6] ; [3,5,6,9,8] ; [3,5,6,8,9] |
base_conversion | base_conversion:decomposition | n=26,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11010 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
list_summation | list_summation:left-to-right | 3, 3, 1, 8 | 3+3=6 ; 6+1=7 ; 7+8=15 |
base_conversion | base_conversion:decomposition | n=63,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:333 |
base_conversion | base_conversion:repeated-division | n=94,base=16 | DIV:94/16=5,r:14 ; DIV:5/16=0,r:5 ; OUT:5E |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-8 | 8x-48=-8 ; x+-6=-1 ; x=-1--6 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=171,base=8 | DIV:171/8=21,r:3 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:253 |
list_summation | list_summation:right-to-left | 1, 9, 6, 9 | 6+9=15 ; 9+15=24 ; 1+24=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=25 | 5x+45=25 ; x+9=5 ; x=5-9 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 5, 9, 6 | [1,3,5,9,6] ; [1,3,5,9,6] ; [1,3,5,9,6] ; [1,3,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=35 | 7x+7=35 ; x=(35-7)/7 ; x=28/7 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 8, 1, 3, 0 | [0,8,1,3,9] ; [0,1,8,3,9] ; [0,1,3,8,9] ; [0,1,3,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 1, 4, 5 | [3,1,7,4,5] ; [3,1,4,7,5] ; [3,1,4,5,7] ; [1,3,4,5,7] |
list_summation | list_summation:right-to-left | 2, 7, 6, 0 | 6+0=6 ; 7+6=13 ; 2+13=15 |
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 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 6, 4, 2 | [2,9,6,4,7] ; [2,4,6,9,7] ; [2,4,6,9,7] ; [2,4,6,7,9] |
base_conversion | base_conversion:via-binary | n=122,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:1322 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=70 | 7x+63=70 ; x+9=10 ; x=10-9 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 7, 1, 6 | [4,6,7,1,3] ; [7,6,4,1,3] ; [3,6,4,1,7] ; [6,3,4,1,7] ; [1,3,4,6,7] ; [4,3,1,6,7] ; [1,3,4,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:left-to-right | 9, 2, 3, 4 | 9+2=11 ; 11+3=14 ; 14+4=18 |
list_summation | list_summation:pairwise | 9, 2, 9, 6 | 9+2=11 ; 9+6=15 ; 11+15=26 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 533+823 | round:540+823=1363 ; adjust:1363-7=1356 ; sum=1356 |
multidigit_addition | multidigit_addition:left-to-right-partials | 796+590 | p100:700+500=1200 ; p10:90+90=180 ; p1:6+0=6 ; sum=1200+180+6=1386 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 800+319 | d2:0+9+0=9→w9,c0 ; d1:0+1+0=1→w1,c0 ; d0:8+3+0=11→w1,c1 ; sum=1119 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=-2 | 2x+10=-2 ; 2x=-12 ; x=-6 |
list_summation | list_summation:pairwise | 1, 2, 8, 2 | 1+2=3 ; 8+2=10 ; 3+10=13 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 8, 1, 2 | [3,4,8,1,2] ; [3,4,1,8,2] ; [1,3,4,8,2] ; [1,2,3,4,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=128,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:0*8^0=0 ; OUT:200 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 5, 2, 0 | [4,5,9,2,0] ; [4,5,2,9,0] ; [4,5,2,0,9] ; [4,2,5,0,9] ; [4,2,0,5,9] ; [2,4,0,5,9] ; [2,0,4,5,9] ; [0,2,4,5,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=-2 | 2x+0=-2 ; x=(-2-0)/2 ; x=-2/2 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=76,base=8 | DIV:76/8=9,r:4 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:114 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-27 | 3x-15=-27 ; 3x=-12 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=-6 | 6x-42=-6 ; x+-7=-1 ; x=-1--7 ; x=6 |
list_summation | list_summation:left-to-right | 6, 9, 5, 5 | 6+9=15 ; 15+5=20 ; 20+5=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 915+562 | d2:5+2+0=7→w7,c0 ; d1:1+6+0=7→w7,c0 ; d0:9+5+0=14→w4,c1 ; sum=1477 |
multidigit_addition | multidigit_addition:right-to-left-carry | 224+221 | d2:4+1+0=5→w5,c0 ; d1:2+2+0=4→w4,c0 ; d0:2+2+0=4→w4,c0 ; sum=445 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 0, 7, 1, 9 | [0,8,7,1,9] ; [0,7,8,1,9] ; [0,7,1,8,9] ; [0,1,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=-21 | 7x-35=-21 ; x=(-21--35)/7 ; x=14/7 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,4) | D:(1,2) ; R:(1,3) ; R:(1,4) |
base_conversion | base_conversion:repeated-division | n=47,base=4 | DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:233 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 2, 0, 8 | [4,2,5,0,8] ; [4,2,0,5,8] ; [2,4,0,5,8] ; [2,0,4,5,8] ; [0,2,4,5,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 8, 4, 0 | [0,7,8,4,9] ; [8,7,0,4,9] ; [4,7,0,8,9] ; [7,4,0,8,9] ; [0,4,7,8,9] ; [4,0,7,8,9] ; [0,4,7,8,9] |
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