task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=111,base=16 | TERM:6*16^1=96 ; TERM:15*16^0=15 ; OUT:6F |
multidigit_addition | multidigit_addition:rounding-decomposition | 484+292 | round:490+292=782 ; adjust:782-6=776 ; sum=776 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 2, 8, 3 | [2,4,7,8,3] ; [2,3,7,8,4] ; [2,3,4,8,7] ; [2,3,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=93,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:5*8^0=5 ; OUT:135 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 1, 3, 6 | [8,9,1,3,6] ; [1,8,9,3,6] ; [1,3,8,9,6] ; [1,3,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 5, 9, 6 | [7,9,5,0,6] ; [9,7,5,0,6] ; [6,7,5,0,9] ; [7,6,5,0,9] ; [0,6,5,7,9] ; [6,0,5,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9] |
list_summation | list_summation:pairwise | 0, 3, 8, 2 | 0+3=3 ; 8+2=10 ; 3+10=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=-55 | 5x-15=-55 ; 5x=-40 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 1, 6, 8 | [2,7,1,6,8] ; [1,2,7,6,8] ; [1,2,6,7,8] ; [1,2,6,7,8] |
list_summation | list_summation:right-to-left | 0, 9, 9, 0 | 9+0=9 ; 9+9=18 ; 0+18=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 943+398 | p100:900+300=1200 ; p10:40+90=130 ; p1:3+8=11 ; sum=1200+130+11=1341 |
list_summation | list_summation:pairwise | 9, 4, 1, 0 | 9+4=13 ; 1+0=1 ; 13+1=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,5) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 0, 1, 6, 8 | 0+1=1 ; 6+8=14 ; 1+14=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 716+136 | round:720+136=856 ; adjust:856-4=852 ; sum=852 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 5, 4, 7 | [2,3,5,4,7] ; [2,3,5,4,7] ; [2,3,4,5,7] ; [2,3,4,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=32 | 8x+32=32 ; x=(32-32)/8 ; x=0/8 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 8, 3, 2, 5 | [5,8,3,2,9] ; [8,5,3,2,9] ; [2,5,3,8,9] ; [5,2,3,8,9] ; [3,2,5,8,9] ; [2,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=34,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:100010 |
list_summation | list_summation:right-to-left | 5, 4, 5, 8 | 5+8=13 ; 4+13=17 ; 5+17=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=-28 | 4x-4=-28 ; 4x=-24 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 621+471 | round:630+471=1101 ; adjust:1101-9=1092 ; sum=1092 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=-15 | 5x+10=-15 ; x+2=-3 ; x=-3-2 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 8, 5, 9, 2 | [0,8,5,9,2] ; [0,2,5,9,8] ; [0,2,5,9,8] ; [0,2,5,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 0, 3, 6 | [4,0,7,3,6] ; [4,0,3,7,6] ; [4,0,3,6,7] ; [0,4,3,6,7] ; [0,3,4,6,7] |
base_conversion | base_conversion:decomposition | n=158,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:6*8^0=6 ; OUT:236 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=36 | 4x+32=36 ; x=(36-32)/4 ; x=4/4 ; x=1 |
list_summation | list_summation:left-to-right | 3, 0, 1, 2 | 3+0=3 ; 3+1=4 ; 4+2=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=-7 | 7x+49=-7 ; x+7=-1 ; x=-1-7 ; x=-8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=-42 | 7x-14=-42 ; x=(-42--14)/7 ; x=-28/7 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 2, 5, 4 | [2,3,9,5,4] ; [2,3,9,5,4] ; [2,3,4,5,9] ; [2,3,4,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 586+417 | d2:6+7+0=13→w3,c1 ; d1:8+1+1=10→w0,c1 ; d0:5+4+1=10→w0,c1 ; sum=1003 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 1, 0, 7 | [2,9,1,0,7] ; [1,2,9,0,7] ; [0,1,2,9,7] ; [0,1,2,7,9] |
list_summation | list_summation:left-to-right | 6, 3, 5, 8 | 6+3=9 ; 9+5=14 ; 14+8=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
base_conversion | base_conversion:decomposition | n=39,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:100111 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 5, 2, 4 | [7,9,5,2,4] ; [5,7,9,2,4] ; [2,5,7,9,4] ; [2,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=2 | 2x+10=2 ; x+5=1 ; x=1-5 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=48 | 6x+42=48 ; x=(48-42)/6 ; x=6/6 ; x=1 |
base_conversion | base_conversion:via-binary | n=170,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2222 |
base_conversion | base_conversion:decomposition | n=155,base=16 | TERM:9*16^1=144 ; TERM:11*16^0=11 ; OUT:9B |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+14=28 | 7x+14=28 ; x=(28-14)/7 ; x=14/7 ; x=2 |
base_conversion | base_conversion:repeated-division | n=208,base=16 | DIV:208/16=13,r:0 ; DIV:13/16=0,r:13 ; OUT:D0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-42 | 6x-48=-42 ; 6x=6 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=16 | 2x+14=16 ; 2x=2 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 4, 1, 7 | [9,7,4,1,6] ; [6,7,4,1,9] ; [7,6,4,1,9] ; [1,6,4,7,9] ; [6,1,4,7,9] ; [4,1,6,7,9] ; [1,4,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=-54 | 6x-18=-54 ; x=(-54--18)/6 ; x=-36/6 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=113,base=8 | DIV:113/8=14,r:1 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:161 |
list_summation | list_summation:right-to-left | 3, 5, 8, 3 | 8+3=11 ; 5+11=16 ; 3+16=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-63=-126 | 7x-63=-126 ; 7x=-63 ; x=-9 |
list_summation | list_summation:right-to-left | 9, 9, 6, 0 | 6+0=6 ; 9+6=15 ; 9+15=24 |
base_conversion | base_conversion:via-binary | n=169,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:9 ; OUT:A9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 402+569 | d2:2+9+0=11→w1,c1 ; d1:0+6+1=7→w7,c0 ; d0:4+5+0=9→w9,c0 ; sum=971 |
base_conversion | base_conversion:repeated-division | n=153,base=16 | DIV:153/16=9,r:9 ; DIV:9/16=0,r:9 ; OUT:99 |
base_conversion | base_conversion:decomposition | n=191,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:277 |
multidigit_addition | multidigit_addition:rounding-decomposition | 376+484 | round:380+484=864 ; adjust:864-4=860 ; sum=860 |
base_conversion | base_conversion:decomposition | n=25,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11001 |
list_summation | list_summation:left-to-right | 1, 9, 8, 5 | 1+9=10 ; 10+8=18 ; 18+5=23 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 0, 6, 8 | [7,9,0,6,8] ; [0,7,9,6,8] ; [0,6,7,9,8] ; [0,6,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 2, 3, 7 | [5,7,2,3,1] ; [7,5,2,3,1] ; [1,5,2,3,7] ; [5,1,2,3,7] ; [5,3,2,1,7] ; [1,3,2,5,7] ; [3,1,2,5,7] ; [2,1,3,5,7] ; [1,2,3,5,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 3, 1, 2 | [5,9,3,1,2] ; [5,3,9,1,2] ; [5,3,1,9,2] ; [5,3,1,2,9] ; [3,5,1,2,9] ; [3,1,5,2,9] ; [3,1,2,5,9] ; [1,3,2,5,9] ; [1,2,3,5,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 9, 0, 5 | [3,6,9,0,5] ; [3,6,9,0,5] ; [0,3,6,9,5] ; [0,3,5,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 8, 0, 6, 7 | [2,8,0,6,7] ; [0,2,8,6,7] ; [0,2,6,8,7] ; [0,2,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 578+673 | round:580+673=1253 ; adjust:1253-2=1251 ; sum=1251 |
multidigit_addition | multidigit_addition:rounding-decomposition | 568+220 | round:570+220=790 ; adjust:790-2=788 ; sum=788 |
base_conversion | base_conversion:decomposition | n=117,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1110101 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 1, 6, 3 | [0,6,1,5,3] ; [6,0,1,5,3] ; [6,5,1,0,3] ; [3,5,1,0,6] ; [5,3,1,0,6] ; [0,3,1,5,6] ; [3,0,1,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6] |
base_conversion | base_conversion:decomposition | n=213,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 1, 4, 9 | [0,1,2,4,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-96 | 8x-64=-96 ; 8x=-32 ; x=-4 |
list_summation | list_summation:right-to-left | 2, 4, 5, 5 | 5+5=10 ; 4+10=14 ; 2+14=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+24=48 | 6x+24=48 ; x+4=8 ; x=8-4 ; x=4 |
list_summation | list_summation:pairwise | 3, 9, 6, 7 | 3+9=12 ; 6+7=13 ; 12+13=25 |
list_summation | list_summation:left-to-right | 1, 1, 8, 0 | 1+1=2 ; 2+8=10 ; 10+0=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) |
list_summation | list_summation:right-to-left | 0, 2, 5, 4 | 5+4=9 ; 2+9=11 ; 0+11=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 576+723 | p100:500+700=1200 ; p10:70+20=90 ; p1:6+3=9 ; sum=1200+90+9=1299 |
multidigit_addition | multidigit_addition:rounding-decomposition | 719+108 | round:720+108=828 ; adjust:828-1=827 ; sum=827 |
base_conversion | base_conversion:via-binary | n=74,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1001010 |
list_summation | list_summation:left-to-right | 3, 2, 0, 3 | 3+2=5 ; 5+0=5 ; 5+3=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=13,base=2 | 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:1101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 5, 3, 4, 0 | 4+0=4 ; 3+4=7 ; 5+7=12 |
base_conversion | base_conversion:repeated-division | n=92,base=16 | DIV:92/16=5,r:12 ; DIV:5/16=0,r:5 ; OUT:5C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=0 | 5x+15=0 ; 5x=-15 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 2, 5, 8 | [2,4,9,5,8] ; [2,4,9,5,8] ; [2,4,5,9,8] ; [2,4,5,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,4) | D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 2, 5, 4, 1 | [2,3,5,4,1] ; [2,3,4,5,1] ; [2,3,4,1,5] ; [2,3,1,4,5] ; [2,1,3,4,5] ; [1,2,3,4,5] |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 8, 7, 4 | [3,7,8,5,4] ; [8,7,3,5,4] ; [4,7,3,5,8] ; [7,4,3,5,8] ; [7,5,3,4,8] ; [4,5,3,7,8] ; [5,4,3,7,8] ; [3,4,5,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 738+782 | p100:700+700=1400 ; p10:30+80=110 ; p1:8+2=10 ; sum=1400+110+10=1520 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-21=21 | 7x-21=21 ; 7x=42 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=15 | 5x-25=15 ; x+-5=3 ; x=3--5 ; x=8 |
base_conversion | base_conversion:decomposition | n=171,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10101011 |
base_conversion | base_conversion:decomposition | n=128,base=16 | TERM:8*16^1=128 ; TERM:0*16^0=0 ; OUT:80 |
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