task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 8, 5, 2, 3 | 2+3=5 ; 5+5=10 ; 8+10=18 |
list_summation | list_summation:pairwise | 7, 4, 2, 9 | 7+4=11 ; 2+9=11 ; 11+11=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=0 | 5x-30=0 ; 5x=30 ; x=6 |
base_conversion | base_conversion:repeated-division | n=152,base=16 | DIV:152/16=9,r:8 ; DIV:9/16=0,r:9 ; OUT:98 |
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=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 740+104 | d2:0+4+0=4→w4,c0 ; d1:4+0+0=4→w4,c0 ; d0:7+1+0=8→w8,c0 ; sum=844 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-16=-16 | 4x-16=-16 ; x+-4=-4 ; x=-4--4 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 2, 0, 5 | [0,3,2,7,5] ; [0,2,3,7,5] ; [0,2,3,7,5] ; [0,2,3,5,7] |
list_summation | list_summation:right-to-left | 3, 1, 3, 6 | 3+6=9 ; 1+9=10 ; 3+10=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 0, 9, 6 | [4,5,0,9,6] ; [0,4,5,9,6] ; [0,4,5,9,6] ; [0,4,5,6,9] |
list_summation | list_summation:pairwise | 1, 5, 9, 4 | 1+5=6 ; 9+4=13 ; 6+13=19 |
base_conversion | base_conversion:decomposition | n=51,base=16 | TERM:3*16^1=48 ; TERM:3*16^0=3 ; OUT:33 |
base_conversion | base_conversion:repeated-division | n=81,base=2 | DIV:81/2=40,r:1 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; 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:1010001 |
list_summation | list_summation:left-to-right | 5, 1, 6, 5 | 5+1=6 ; 6+6=12 ; 12+5=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
multidigit_addition | multidigit_addition:left-to-right-partials | 385+491 | p100:300+400=700 ; p10:80+90=170 ; p1:5+1=6 ; sum=700+170+6=876 |
multidigit_addition | multidigit_addition:left-to-right-partials | 901+956 | p100:900+900=1800 ; p10:0+50=50 ; p1:1+6=7 ; sum=1800+50+7=1857 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 3, 7, 8 | [1,6,3,7,8] ; [1,3,6,7,8] ; [1,3,6,7,8] ; [1,3,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=-45 | 9x+9=-45 ; 9x=-54 ; x=-6 |
base_conversion | base_conversion:decomposition | n=2,base=8 | TERM:2*8^0=2 ; OUT:2 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 9, 6, 2, 8 | [0,9,6,2,8] ; [0,2,6,9,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 3, 7, 5, 8 | [1,8,7,5,3] ; [8,1,7,5,3] ; [8,5,7,1,3] ; [3,5,7,1,8] ; [7,5,3,1,8] ; [1,5,3,7,8] ; [5,1,3,7,8] ; [3,1,5,7,8] ; [1,3,5,7,8] |
base_conversion | base_conversion:repeated-division | n=223,base=8 | DIV:223/8=27,r:7 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:337 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=-8 | 2x-2=-8 ; 2x=-6 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 299+741 | d2:9+1+0=10→w0,c1 ; d1:9+4+1=14→w4,c1 ; d0:2+7+1=10→w0,c1 ; sum=1040 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 8, 0, 6 | [0,9,8,4,6] ; [0,4,8,9,6] ; [0,4,6,9,8] ; [0,4,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 311+406 | round:320+406=726 ; adjust:726-9=717 ; sum=717 |
list_summation | list_summation:pairwise | 6, 0, 5, 0 | 6+0=6 ; 5+0=5 ; 6+5=11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 358+821 | d2:8+1+0=9→w9,c0 ; d1:5+2+0=7→w7,c0 ; d0:3+8+0=11→w1,c1 ; sum=1179 |
base_conversion | base_conversion:decomposition | n=15,base=16 | TERM:15*16^0=15 ; OUT:F |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 9, 5, 0 | [4,6,5,9,0] ; [4,6,5,0,9] ; [4,5,6,0,9] ; [4,5,0,6,9] ; [4,0,5,6,9] ; [0,4,5,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 3, 4, 2 | [8,9,3,4,2] ; [3,8,9,4,2] ; [3,4,8,9,2] ; [2,3,4,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 127+574 | d2:7+4+0=11→w1,c1 ; d1:2+7+1=10→w0,c1 ; d0:1+5+1=7→w7,c0 ; sum=701 |
base_conversion | base_conversion:via-binary | n=235,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:3223 |
list_summation | list_summation:pairwise | 2, 7, 8, 9 | 2+7=9 ; 8+9=17 ; 9+17=26 |
multidigit_addition | multidigit_addition:left-to-right-partials | 981+477 | p100:900+400=1300 ; p10:80+70=150 ; p1:1+7=8 ; sum=1300+150+8=1458 |
list_summation | list_summation:pairwise | 2, 2, 2, 0 | 2+2=4 ; 2+0=2 ; 4+2=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-27=-81 | 9x-27=-81 ; 9x=-54 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 871+697 | p100:800+600=1400 ; p10:70+90=160 ; p1:1+7=8 ; sum=1400+160+8=1568 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+40=8 | 8x+40=8 ; 8x=-32 ; x=-4 |
list_summation | list_summation:left-to-right | 8, 9, 4, 4 | 8+9=17 ; 17+4=21 ; 21+4=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 928+418 | d2:8+8+0=16→w6,c1 ; d1:2+1+1=4→w4,c0 ; d0:9+4+0=13→w3,c1 ; sum=1346 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-52 | 4x-32=-52 ; 4x=-20 ; x=-5 |
base_conversion | base_conversion:via-binary | n=124,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:12 ; OUT:7C |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 0, 6, 5 | [2,6,0,1,5] ; [6,2,0,1,5] ; [6,5,0,1,2] ; [2,5,0,1,6] ; [5,2,0,1,6] ; [1,2,0,5,6] ; [2,1,0,5,6] ; [0,1,2,5,6] ; [1,0,2,5,6] ; [0,1,2,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-9=-54 | 9x-9=-54 ; x=(-54--9)/9 ; x=-45/9 ; x=-5 |
list_summation | list_summation:right-to-left | 9, 7, 9, 7 | 9+7=16 ; 7+16=23 ; 9+23=32 |
base_conversion | base_conversion:repeated-division | n=238,base=16 | DIV:238/16=14,r:14 ; DIV:14/16=0,r:14 ; OUT:EE |
base_conversion | base_conversion:via-binary | n=112,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:0 ; OUT:70 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=30 | 3x+9=30 ; 3x=21 ; x=7 |
list_summation | list_summation:left-to-right | 5, 4, 1, 4 | 5+4=9 ; 9+1=10 ; 10+4=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 275+539 | d2:5+9+0=14→w4,c1 ; d1:7+3+1=11→w1,c1 ; d0:2+5+1=8→w8,c0 ; sum=814 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=-10 | 2x+6=-10 ; x=(-10-6)/2 ; x=-16/2 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 986+886 | d2:6+6+0=12→w2,c1 ; d1:8+8+1=17→w7,c1 ; d0:9+8+1=18→w8,c1 ; sum=1872 |
base_conversion | base_conversion:decomposition | n=80,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:120 |
base_conversion | base_conversion:via-binary | n=17,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:10001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=20 | 2x+12=20 ; x+6=10 ; x=10-6 ; x=4 |
list_summation | list_summation:right-to-left | 7, 4, 0, 1 | 0+1=1 ; 4+1=5 ; 7+5=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=28 | 4x+24=28 ; 4x=4 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=-48 | 6x+6=-48 ; x=(-48-6)/6 ; x=-54/6 ; x=-9 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 1, 6, 5 | [0,7,1,6,5] ; [0,1,6,7,5] ; [0,1,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 613+687 | round:620+687=1307 ; adjust:1307-7=1300 ; sum=1300 |
multidigit_addition | multidigit_addition:left-to-right-partials | 127+340 | p100:100+300=400 ; p10:20+40=60 ; p1:7+0=7 ; sum=400+60+7=467 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=45 | 9x-18=45 ; x=(45--18)/9 ; x=63/9 ; x=7 |
list_summation | list_summation:left-to-right | 0, 0, 4, 4 | 0+0=0 ; 0+4=4 ; 4+4=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=30 | 6x+12=30 ; x=(30-12)/6 ; x=18/6 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 308+514 | d2:8+4+0=12→w2,c1 ; d1:0+1+1=2→w2,c0 ; d0:3+5+0=8→w8,c0 ; sum=822 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-24 | 8x-48=-24 ; x+-6=-3 ; x=-3--6 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-21 | 3x-21=-21 ; x=(-21--21)/3 ; x=0/3 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 6, 1, 8 | [1,5,6,9,8] ; [1,5,6,9,8] ; [1,5,6,9,8] ; [1,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=9 | 3x+15=9 ; x+5=3 ; x=3-5 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=78 | 6x+36=78 ; 6x=42 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+40=40 | 8x+40=40 ; x+5=5 ; x=5-5 ; x=0 |
list_summation | list_summation:right-to-left | 1, 3, 9, 9 | 9+9=18 ; 3+18=21 ; 1+21=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-18=-34 | 2x-18=-34 ; x+-9=-17 ; x=-17--9 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 9, 3, 5, 8 | [0,3,5,9,8] ; [0,3,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 301+979 | p100:300+900=1200 ; p10:0+70=70 ; p1:1+9=10 ; sum=1200+70+10=1280 |
multidigit_addition | multidigit_addition:right-to-left-carry | 511+194 | d2:1+4+0=5→w5,c0 ; d1:1+9+0=10→w0,c1 ; d0:5+1+1=7→w7,c0 ; sum=705 |
base_conversion | base_conversion:repeated-division | n=220,base=8 | DIV:220/8=27,r:4 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:334 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 1, 0, 5 | [4,9,1,0,5] ; [4,1,9,0,5] ; [4,1,0,9,5] ; [4,1,0,5,9] ; [1,4,0,5,9] ; [1,0,4,5,9] ; [0,1,4,5,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-63 | 7x-35=-63 ; 7x=-28 ; x=-4 |
base_conversion | base_conversion:decomposition | n=201,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:3021 |
multidigit_addition | multidigit_addition:right-to-left-carry | 391+516 | d2:1+6+0=7→w7,c0 ; d1:9+1+0=10→w0,c1 ; d0:3+5+1=9→w9,c0 ; sum=907 |
multidigit_addition | multidigit_addition:right-to-left-carry | 652+762 | d2:2+2+0=4→w4,c0 ; d1:5+6+0=11→w1,c1 ; d0:6+7+1=14→w4,c1 ; sum=1414 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 6, 0, 8, 7 | [3,8,0,6,7] ; [8,3,0,6,7] ; [8,7,0,6,3] ; [3,7,0,6,8] ; [7,3,0,6,8] ; [7,6,0,3,8] ; [3,6,0,7,8] ; [6,3,0,7,8] ; [0,3,6,7,8] ; [3,0,6,7,8] ; [0,3,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 345+321 | p100:300+300=600 ; p10:40+20=60 ; p1:5+1=6 ; sum=600+60+6=666 |
multidigit_addition | multidigit_addition:right-to-left-carry | 274+610 | d2:4+0+0=4→w4,c0 ; d1:7+1+0=8→w8,c0 ; d0:2+6+0=8→w8,c0 ; sum=884 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,3) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 172+464 | d2:2+4+0=6→w6,c0 ; d1:7+6+0=13→w3,c1 ; d0:1+4+1=6→w6,c0 ; sum=636 |
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