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 | 826+908 | round:830+908=1738 ; adjust:1738-4=1734 ; sum=1734 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 4, 9, 6, 7 | [3,4,6,9,7] ; [3,4,6,7,9] |
base_conversion | base_conversion:repeated-division | n=157,base=2 | DIV:157/2=78,r:1 ; DIV:78/2=39,r:0 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10011101 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-81 | 9x-72=-81 ; x=(-81--72)/9 ; x=-9/9 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=159,base=16 | DIV:159/16=9,r:15 ; DIV:9/16=0,r:9 ; OUT:9F |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=-8 | 4x+20=-8 ; 4x=-28 ; x=-7 |
base_conversion | base_conversion:via-binary | n=86,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:1112 |
base_conversion | base_conversion:via-binary | n=100,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:4 ; OUT:64 |
multidigit_addition | multidigit_addition:right-to-left-carry | 167+843 | d2:7+3+0=10→w0,c1 ; d1:6+4+1=11→w1,c1 ; d0:1+8+1=10→w0,c1 ; sum=1010 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 0, 9, 1, 4 | [0,5,9,1,4] ; [0,1,9,5,4] ; [0,1,4,5,9] ; [0,1,4,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 0, 1, 2 | [0,3,8,1,2] ; [0,1,8,3,2] ; [0,1,2,3,8] ; [0,1,2,3,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
list_summation | list_summation:left-to-right | 7, 4, 4, 5 | 7+4=11 ; 11+4=15 ; 15+5=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 818+204 | round:820+204=1024 ; adjust:1024-2=1022 ; sum=1022 |
list_summation | list_summation:pairwise | 4, 9, 7, 8 | 4+9=13 ; 7+8=15 ; 13+15=28 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-40=-48 | 8x-40=-48 ; 8x=-8 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-9=-54 | 9x-9=-54 ; x+-1=-6 ; x=-6--1 ; x=-5 |
list_summation | list_summation:right-to-left | 8, 5, 4, 0 | 4+0=4 ; 5+4=9 ; 8+9=17 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 6, 8, 1 | [0,7,6,8,1] ; [0,6,7,8,1] ; [0,6,7,8,1] ; [0,1,6,7,8] |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
base_conversion | base_conversion:decomposition | n=219,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11011011 |
multidigit_addition | multidigit_addition:right-to-left-carry | 465+723 | d2:5+3+0=8→w8,c0 ; d1:6+2+0=8→w8,c0 ; d0:4+7+0=11→w1,c1 ; sum=1188 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 9, 7, 5 | [4,7,9,2,5] ; [9,7,4,2,5] ; [5,7,4,2,9] ; [7,5,4,2,9] ; [2,5,4,7,9] ; [5,2,4,7,9] ; [4,2,5,7,9] ; [2,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=81,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1010001 |
list_summation | list_summation:left-to-right | 8, 8, 0, 8 | 8+8=16 ; 16+0=16 ; 16+8=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=8 | 8x+48=8 ; x+6=1 ; x=1-6 ; x=-5 |
list_summation | list_summation:left-to-right | 9, 9, 8, 1 | 9+9=18 ; 18+8=26 ; 26+1=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 653+394 | d2:3+4+0=7→w7,c0 ; d1:5+9+0=14→w4,c1 ; d0:6+3+1=10→w0,c1 ; sum=1047 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,3) | D:(2,2) ; D:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+12=6 | 6x+12=6 ; 6x=-6 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 414+265 | round:420+265=685 ; adjust:685-6=679 ; sum=679 |
multidigit_addition | multidigit_addition:rounding-decomposition | 185+121 | round:190+121=311 ; adjust:311-5=306 ; sum=306 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 1, 7, 2 | [0,4,1,7,2] ; [0,1,4,7,2] ; [0,1,2,4,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 4, 1, 8 | [2,4,5,1,8] ; [2,4,1,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8] |
base_conversion | base_conversion:via-binary | n=67,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:103 |
multidigit_addition | multidigit_addition:right-to-left-carry | 822+722 | d2:2+2+0=4→w4,c0 ; d1:2+2+0=4→w4,c0 ; d0:8+7+0=15→w5,c1 ; sum=1544 |
base_conversion | base_conversion:decomposition | n=131,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:3*8^0=3 ; OUT:203 |
multidigit_addition | multidigit_addition:left-to-right-partials | 313+153 | p100:300+100=400 ; p10:10+50=60 ; p1:3+3=6 ; sum=400+60+6=466 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=70 | 7x+49=70 ; 7x=21 ; x=3 |
list_summation | list_summation:pairwise | 8, 1, 2, 7 | 8+1=9 ; 2+7=9 ; 9+9=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 9, 5, 2 | [1,6,5,9,2] ; [1,6,5,2,9] ; [1,5,6,2,9] ; [1,5,2,6,9] ; [1,2,5,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=220,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:12 ; OUT:DC |
base_conversion | base_conversion:decomposition | n=207,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:317 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 2, 9, 5, 3 | [0,5,9,2,3] ; [9,5,0,2,3] ; [3,5,0,2,9] ; [5,3,0,2,9] ; [2,3,0,5,9] ; [3,2,0,5,9] ; [0,2,3,5,9] ; [2,0,3,5,9] ; [0,2,3,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(2,3) | R:(0,3) ; D:(1,3) ; D:(2,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 0, 9, 1 | [6,0,8,9,1] ; [6,0,8,1,9] ; [0,6,8,1,9] ; [0,6,1,8,9] ; [0,1,6,8,9] |
base_conversion | base_conversion:repeated-division | n=228,base=16 | DIV:228/16=14,r:4 ; DIV:14/16=0,r:14 ; OUT:E4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 259+518 | round:260+518=778 ; adjust:778-1=777 ; sum=777 |
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 | 3, 8, 0, 2 | 3+8=11 ; 11+0=11 ; 11+2=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 516+469 | p100:500+400=900 ; p10:10+60=70 ; p1:6+9=15 ; sum=900+70+15=985 |
base_conversion | base_conversion:repeated-division | n=70,base=4 | DIV:70/4=17,r:2 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1012 |
list_summation | list_summation:right-to-left | 6, 6, 4, 5 | 4+5=9 ; 6+9=15 ; 6+15=21 |
base_conversion | base_conversion:decomposition | n=217,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:331 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=0 | 2x+18=0 ; x=(0-18)/2 ; x=-18/2 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=8 | 8x+16=8 ; x+2=1 ; x=1-2 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=-12 | 4x+12=-12 ; x=(-12-12)/4 ; x=-24/4 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 430+483 | round:430+483=913 ; adjust:913-0=913 ; sum=913 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 7, 6, 5, 8 | [1,8,6,5,7] ; [8,1,6,5,7] ; [8,7,6,5,1] ; [1,7,6,5,8] ; [7,1,6,5,8] ; [7,5,6,1,8] ; [1,5,6,7,8] ; [6,5,1,7,8] ; [1,5,6,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,3) | R:(0,2) ; R:(0,3) ; D:(1,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=145,base=8 | DIV:145/8=18,r:1 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:221 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 3, 0, 7 | [5,6,3,0,7] ; [5,6,0,3,7] ; [0,3,5,6,7] |
list_summation | list_summation:left-to-right | 2, 2, 4, 0 | 2+2=4 ; 4+4=8 ; 8+0=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,4) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 289+630 | p100:200+600=800 ; p10:80+30=110 ; p1:9+0=9 ; sum=800+110+9=919 |
multidigit_addition | multidigit_addition:right-to-left-carry | 167+333 | d2:7+3+0=10→w0,c1 ; d1:6+3+1=10→w0,c1 ; d0:1+3+1=5→w5,c0 ; sum=500 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-40=-8 | 8x-40=-8 ; 8x=32 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 296+769 | p100:200+700=900 ; p10:90+60=150 ; p1:6+9=15 ; sum=900+150+15=1065 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 4, 2, 5 | [1,7,2,4,5] ; [1,2,4,7,5] ; [1,2,4,5,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 2, 1, 6, 0 | [0,2,1,6,7] ; [0,1,2,6,7] ; [0,1,2,6,7] ; [0,1,2,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 3, 9, 2, 1 | [3,8,9,2,1] ; [3,8,9,2,1] ; [2,3,8,9,1] ; [1,2,3,8,9] |
list_summation | list_summation:pairwise | 7, 4, 4, 7 | 7+4=11 ; 4+7=11 ; 11+11=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=0 | 4x+36=0 ; 4x=-36 ; x=-9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 0, 8, 9 | [6,7,0,8,9] ; [6,0,7,8,9] ; [0,6,7,8,9] |
list_summation | list_summation:right-to-left | 2, 0, 2, 9 | 2+9=11 ; 0+11=11 ; 2+11=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:right-to-left | 3, 6, 4, 9 | 4+9=13 ; 6+13=19 ; 3+19=22 |
base_conversion | base_conversion:repeated-division | n=91,base=16 | DIV:91/16=5,r:11 ; DIV:5/16=0,r:5 ; OUT:5B |
list_summation | list_summation:pairwise | 0, 5, 0, 7 | 0+5=5 ; 0+7=7 ; 5+7=12 |
list_summation | list_summation:pairwise | 3, 2, 7, 1 | 3+2=5 ; 7+1=8 ; 5+8=13 |
list_summation | list_summation:right-to-left | 2, 8, 5, 4 | 5+4=9 ; 8+9=17 ; 2+17=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 821+341 | round:830+341=1171 ; adjust:1171-9=1162 ; sum=1162 |
base_conversion | base_conversion:via-binary | n=229,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11100101 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 2, 4, 8, 3 | [1,2,3,4,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 4, 0, 3 | [9,3,4,0,1] ; [1,3,4,0,9] ; [4,3,1,0,9] ; [0,3,1,4,9] ; [3,0,1,4,9] ; [1,0,3,4,9] ; [0,1,3,4,9] |
base_conversion | base_conversion:decomposition | n=212,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11010100 |
base_conversion | base_conversion:via-binary | n=161,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10100001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+0=-7 | 7x+0=-7 ; x+0=-1 ; x=-1-0 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 764+720 | d2:4+0+0=4→w4,c0 ; d1:6+2+0=8→w8,c0 ; d0:7+7+0=14→w4,c1 ; sum=1484 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-42=-42 | 6x-42=-42 ; 6x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=22 | 2x+10=22 ; x+5=11 ; x=11-5 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-3=18 | 3x-3=18 ; x=(18--3)/3 ; x=21/3 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 880+100 | d2:0+0+0=0→w0,c0 ; d1:8+0+0=8→w8,c0 ; d0:8+1+0=9→w9,c0 ; sum=980 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-25=-30 | 5x-25=-30 ; 5x=-5 ; x=-1 |
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