task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=212,base=2 | DIV:212/2=106,r:0 ; DIV:106/2=53,r:0 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; 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:11010100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 750+506 | p100:700+500=1200 ; p10:50+0=50 ; p1:0+6=6 ; sum=1200+50+6=1256 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+63=70 | 7x+63=70 ; x=(70-63)/7 ; x=7/7 ; x=1 |
base_conversion | base_conversion:repeated-division | n=6,base=16 | DIV:6/16=0,r:6 ; OUT:6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 1, 3, 4 | [0,2,1,3,4] ; [0,1,2,3,4] ; [0,1,2,3,4] ; [0,1,2,3,4] |
base_conversion | base_conversion:via-binary | n=170,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10101010 |
list_summation | list_summation:right-to-left | 4, 0, 2, 8 | 2+8=10 ; 0+10=10 ; 4+10=14 |
list_summation | list_summation:pairwise | 2, 6, 6, 6 | 2+6=8 ; 6+6=12 ; 8+12=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 5, 7, 8, 2 | [5,9,7,8,2] ; [5,7,8,9,2] ; [2,5,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 5, 0, 6, 3 | [0,5,9,6,3] ; [0,3,9,6,5] ; [0,3,5,6,9] ; [0,3,5,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 749+742 | p100:700+700=1400 ; p10:40+40=80 ; p1:9+2=11 ; sum=1400+80+11=1491 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=0 | 4x-12=0 ; x=(0--12)/4 ; x=12/4 ; x=3 |
list_summation | list_summation:left-to-right | 4, 2, 6, 5 | 4+2=6 ; 6+6=12 ; 12+5=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,2) | D:(2,0) ; R:(2,1) ; R:(2,2) |
base_conversion | base_conversion:via-binary | n=156,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:234 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 872+239 | d2:2+9+0=11→w1,c1 ; d1:7+3+1=11→w1,c1 ; d0:8+2+1=11→w1,c1 ; sum=1111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+48=112 | 8x+48=112 ; 8x=64 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,2) | D:(4,0) ; R:(4,1) ; R:(4,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 480+766 | round:480+766=1246 ; adjust:1246-0=1246 ; sum=1246 |
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) |
base_conversion | base_conversion:decomposition | n=98,base=2 | TERM:1*2^6=64 ; 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:1100010 |
base_conversion | base_conversion:repeated-division | n=75,base=2 | DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; 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:1001011 |
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) |
list_summation | list_summation:pairwise | 0, 1, 7, 3 | 0+1=1 ; 7+3=10 ; 1+10=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 4, 4, 2, 8 | 2+8=10 ; 4+10=14 ; 4+14=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 499+703 | round:500+703=1203 ; adjust:1203-1=1202 ; sum=1202 |
multidigit_addition | multidigit_addition:rounding-decomposition | 706+901 | round:710+901=1611 ; adjust:1611-4=1607 ; sum=1607 |
list_summation | list_summation:left-to-right | 4, 6, 8, 2 | 4+6=10 ; 10+8=18 ; 18+2=20 |
list_summation | list_summation:right-to-left | 7, 9, 9, 5 | 9+5=14 ; 9+14=23 ; 7+23=30 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 1, 8, 9 | [6,9,1,8,5] ; [9,6,1,8,5] ; [9,8,1,6,5] ; [5,8,1,6,9] ; [8,5,1,6,9] ; [8,6,1,5,9] ; [5,6,1,8,9] ; [6,5,1,8,9] ; [1,5,6,8,9] ; [5,1,6,8,9] ; [1,5,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 0, 5, 1 | [6,7,0,5,1] ; [0,6,7,5,1] ; [0,5,6,7,1] ; [0,1,5,6,7] |
list_summation | list_summation:pairwise | 1, 8, 7, 3 | 1+8=9 ; 7+3=10 ; 9+10=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 337+997 | p100:300+900=1200 ; p10:30+90=120 ; p1:7+7=14 ; sum=1200+120+14=1334 |
base_conversion | base_conversion:decomposition | n=15,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:via-binary | n=44,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
multidigit_addition | multidigit_addition:left-to-right-partials | 628+554 | p100:600+500=1100 ; p10:20+50=70 ; p1:8+4=12 ; sum=1100+70+12=1182 |
list_summation | list_summation:pairwise | 9, 7, 6, 4 | 9+7=16 ; 6+4=10 ; 16+10=26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 659+629 | round:660+629=1289 ; adjust:1289-1=1288 ; sum=1288 |
list_summation | list_summation:right-to-left | 1, 1, 5, 5 | 5+5=10 ; 1+10=11 ; 1+11=12 |
base_conversion | base_conversion:repeated-division | n=38,base=16 | DIV:38/16=2,r:6 ; DIV:2/16=0,r:2 ; OUT:26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=49 | 7x+28=49 ; x=(49-28)/7 ; x=21/7 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 2, 1, 7 | [1,8,2,4,7] ; [1,2,8,4,7] ; [1,2,4,8,7] ; [1,2,4,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=28 | 7x+21=28 ; x=(28-21)/7 ; x=7/7 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-6 | 6x+12=-6 ; x+2=-1 ; x=-1-2 ; x=-3 |
base_conversion | base_conversion:decomposition | n=96,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1200 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 471+176 | round:480+176=656 ; adjust:656-9=647 ; sum=647 |
base_conversion | base_conversion:decomposition | n=10,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1010 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=0 | 6x-6=0 ; x+-1=0 ; x=0--1 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 712+246 | d2:2+6+0=8→w8,c0 ; d1:1+4+0=5→w5,c0 ; d0:7+2+0=9→w9,c0 ; sum=958 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=14 | 7x-21=14 ; x+-3=2 ; x=2--3 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 108+951 | round:110+951=1061 ; adjust:1061-2=1059 ; sum=1059 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 5, 1, 2 | [0,6,5,1,2] ; [0,1,5,6,2] ; [0,1,2,6,5] ; [0,1,2,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 5, 4, 6, 1 | [5,7,4,6,1] ; [5,4,7,6,1] ; [5,4,6,7,1] ; [5,4,6,1,7] ; [4,5,6,1,7] ; [4,5,1,6,7] ; [4,1,5,6,7] ; [1,4,5,6,7] |
list_summation | list_summation:pairwise | 3, 7, 5, 6 | 3+7=10 ; 5+6=11 ; 10+11=21 |
base_conversion | base_conversion:decomposition | n=244,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3310 |
list_summation | list_summation:left-to-right | 1, 5, 6, 5 | 1+5=6 ; 6+6=12 ; 12+5=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=70 | 5x+35=70 ; x=(70-35)/5 ; x=35/5 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=8 | 4x+12=8 ; x=(8-12)/4 ; x=-4/4 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 1, 0, 2 | [4,7,1,0,2] ; [1,4,7,0,2] ; [0,1,4,7,2] ; [0,1,2,4,7] |
base_conversion | base_conversion:repeated-division | n=212,base=16 | DIV:212/16=13,r:4 ; DIV:13/16=0,r:13 ; OUT:D4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 2, 8, 9 | [1,7,2,8,9] ; [1,2,7,8,9] |
base_conversion | base_conversion:repeated-division | n=88,base=16 | DIV:88/16=5,r:8 ; DIV:5/16=0,r:5 ; OUT:58 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 7, 6, 8 | [1,9,7,6,8] ; [1,9,6,7,8] ; [1,6,7,9,8] ; [1,6,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 550+311 | round:550+311=861 ; adjust:861-0=861 ; sum=861 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-10 | 2x-18=-10 ; 2x=8 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 842+759 | round:850+759=1609 ; adjust:1609-8=1601 ; sum=1601 |
base_conversion | base_conversion:via-binary | n=11,base=16 | BINLEN:4 ; CHUNK:0:11 ; OUT:B |
list_summation | list_summation:right-to-left | 0, 8, 3, 0 | 3+0=3 ; 8+3=11 ; 0+11=11 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 5, 9, 2 | [6,5,8,9,2] ; [6,5,8,2,9] ; [5,6,8,2,9] ; [5,6,2,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=-30 | 6x-18=-30 ; x+-3=-5 ; x=-5--3 ; x=-2 |
list_summation | list_summation:pairwise | 8, 7, 5, 9 | 8+7=15 ; 5+9=14 ; 15+14=29 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=18 | 6x-36=18 ; 6x=54 ; x=9 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 0, 2, 4 | [8,3,0,2,4] ; [8,4,0,2,3] ; [3,4,0,2,8] ; [4,3,0,2,8] ; [2,3,0,4,8] ; [3,2,0,4,8] ; [0,2,3,4,8] ; [2,0,3,4,8] ; [0,2,3,4,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 661+968 | p100:600+900=1500 ; p10:60+60=120 ; p1:1+8=9 ; sum=1500+120+9=1629 |
base_conversion | base_conversion:repeated-division | n=220,base=2 | DIV:220/2=110,r:0 ; DIV:110/2=55,r:0 ; DIV:55/2=27,r:1 ; DIV:27/2=13,r:1 ; 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:11011100 |
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) |
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:heap-sort | 2, 5, 0, 8, 4 | [2,8,0,5,4] ; [8,2,0,5,4] ; [8,5,0,2,4] ; [4,5,0,2,8] ; [5,4,0,2,8] ; [2,4,0,5,8] ; [4,2,0,5,8] ; [0,2,4,5,8] ; [2,0,4,5,8] ; [0,2,4,5,8] |
base_conversion | base_conversion:repeated-division | n=147,base=16 | DIV:147/16=9,r:3 ; DIV:9/16=0,r:9 ; OUT:93 |
multidigit_addition | multidigit_addition:rounding-decomposition | 466+452 | round:470+452=922 ; adjust:922-4=918 ; sum=918 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 2, 4, 3 | [6,7,2,4,3] ; [2,6,7,4,3] ; [2,4,6,7,3] ; [2,3,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 7, 4, 3 | [2,9,7,4,3] ; [2,3,7,4,9] ; [2,3,4,7,9] ; [2,3,4,7,9] |
list_summation | list_summation:left-to-right | 1, 2, 9, 1 | 1+2=3 ; 3+9=12 ; 12+1=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 5, 8, 3 | [2,5,9,8,3] ; [2,5,8,9,3] ; [2,5,8,3,9] ; [2,5,3,8,9] ; [2,3,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 0, 4, 3 | [7,0,8,4,3] ; [7,0,4,8,3] ; [7,0,4,3,8] ; [0,7,4,3,8] ; [0,4,7,3,8] ; [0,4,3,7,8] ; [0,3,4,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=40 | 8x+24=40 ; x=(40-24)/8 ; x=16/8 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 0, 4, 2, 8 | 2+8=10 ; 4+10=14 ; 0+14=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+0=20 | 5x+0=20 ; x+0=4 ; x=4-0 ; x=4 |
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