task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=28 | 2x+18=28 ; x=(28-18)/2 ; x=10/2 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 535+911 | p100:500+900=1400 ; p10:30+10=40 ; p1:5+1=6 ; sum=1400+40+6=1446 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+18=-18 | 6x+18=-18 ; x=(-18-18)/6 ; x=-36/6 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 483+295 | p100:400+200=600 ; p10:80+90=170 ; p1:3+5=8 ; sum=600+170+8=778 |
list_summation | list_summation:pairwise | 7, 8, 1, 8 | 7+8=15 ; 1+8=9 ; 15+9=24 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,5) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:decomposition | n=196,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11000100 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 6, 8, 7 | [1,4,6,8,7] ; [1,4,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=-26 | 2x-12=-26 ; 2x=-14 ; x=-7 |
list_summation | list_summation:pairwise | 9, 5, 3, 4 | 9+5=14 ; 3+4=7 ; 14+7=21 |
list_summation | list_summation:right-to-left | 2, 5, 5, 3 | 5+3=8 ; 5+8=13 ; 2+13=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 873+620 | round:880+620=1500 ; adjust:1500-7=1493 ; sum=1493 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 4, 5, 8 | [3,7,4,5,8] ; [3,4,7,5,8] ; [3,4,5,7,8] ; [3,4,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 518+818 | p100:500+800=1300 ; p10:10+10=20 ; p1:8+8=16 ; sum=1300+20+16=1336 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 7, 2, 9 | [4,6,7,2,9] ; [4,6,7,2,9] ; [2,4,6,7,9] ; [2,4,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 8, 2, 4 | [5,7,8,2,4] ; [5,7,8,2,4] ; [2,5,7,8,4] ; [2,4,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 7, 1, 9 | [0,8,7,1,9] ; [0,8,1,7,9] ; [0,1,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-14=4 | 2x-14=4 ; x+-7=2 ; x=2--7 ; x=9 |
base_conversion | base_conversion:repeated-division | n=142,base=2 | DIV:142/2=71,r:0 ; DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10001110 |
base_conversion | base_conversion:decomposition | n=176,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10110000 |
base_conversion | base_conversion:repeated-division | n=80,base=16 | DIV:80/16=5,r:0 ; DIV:5/16=0,r:5 ; OUT:50 |
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 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 6, 0, 5 | [3,9,0,6,5] ; [0,3,6,9,5] ; [0,3,5,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+6=20 | 2x+6=20 ; 2x=14 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=6,base=4 | TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=21 | 7x+0=21 ; 7x=21 ; x=3 |
base_conversion | base_conversion:decomposition | n=65,base=16 | TERM:4*16^1=64 ; TERM:1*16^0=1 ; OUT:41 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 441+361 | d2:1+1+0=2→w2,c0 ; d1:4+6+0=10→w0,c1 ; d0:4+3+1=8→w8,c0 ; sum=802 |
multidigit_addition | multidigit_addition:right-to-left-carry | 991+885 | d2:1+5+0=6→w6,c0 ; d1:9+8+0=17→w7,c1 ; d0:9+8+1=18→w8,c1 ; sum=1876 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 834+203 | round:840+203=1043 ; adjust:1043-6=1037 ; sum=1037 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 2, 3, 5 | [9,7,2,3,5] ; [5,7,2,3,9] ; [7,5,2,3,9] ; [3,5,2,7,9] ; [5,3,2,7,9] ; [2,3,5,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 6, 7, 2 | [9,7,6,0,2] ; [2,7,6,0,9] ; [7,2,6,0,9] ; [0,2,6,7,9] ; [6,2,0,7,9] ; [0,2,6,7,9] ; [2,0,6,7,9] ; [0,2,6,7,9] |
list_summation | list_summation:left-to-right | 7, 5, 0, 2 | 7+5=12 ; 12+0=12 ; 12+2=14 |
list_summation | list_summation:left-to-right | 1, 7, 0, 4 | 1+7=8 ; 8+0=8 ; 8+4=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 361+775 | p100:300+700=1000 ; p10:60+70=130 ; p1:1+5=6 ; sum=1000+130+6=1136 |
list_summation | list_summation:pairwise | 2, 5, 1, 5 | 2+5=7 ; 1+5=6 ; 7+6=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 634+153 | d2:4+3+0=7→w7,c0 ; d1:3+5+0=8→w8,c0 ; d0:6+1+0=7→w7,c0 ; sum=787 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=7 | 7x+28=7 ; x=(7-28)/7 ; x=-21/7 ; x=-3 |
list_summation | list_summation:pairwise | 4, 5, 7, 6 | 4+5=9 ; 7+6=13 ; 9+13=22 |
base_conversion | base_conversion:repeated-division | n=249,base=16 | DIV:249/16=15,r:9 ; DIV:15/16=0,r:15 ; OUT:F9 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 7, 9, 6 | [2,4,7,9,6] ; [2,4,7,9,6] ; [2,4,6,9,7] ; [2,4,6,7,9] |
list_summation | list_summation:pairwise | 6, 4, 6, 7 | 6+4=10 ; 6+7=13 ; 10+13=23 |
list_summation | list_summation:pairwise | 0, 6, 9, 8 | 0+6=6 ; 9+8=17 ; 6+17=23 |
base_conversion | base_conversion:decomposition | n=230,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:0*2^0=0 ; OUT:11100110 |
base_conversion | base_conversion:decomposition | n=38,base=4 | TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:212 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=108 | 9x+54=108 ; 9x=54 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 189+723 | round:190+723=913 ; adjust:913-1=912 ; sum=912 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=35 | 7x-21=35 ; x+-3=5 ; x=5--3 ; x=8 |
base_conversion | base_conversion:decomposition | n=5,base=4 | TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:11 |
base_conversion | base_conversion:via-binary | n=221,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3131 |
multidigit_addition | multidigit_addition:right-to-left-carry | 791+144 | d2:1+4+0=5→w5,c0 ; d1:9+4+0=13→w3,c1 ; d0:7+1+1=9→w9,c0 ; sum=935 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; D:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=70 | 7x+28=70 ; x=(70-28)/7 ; x=42/7 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,5) | 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 | 2, 7, 9, 6 | 2+7=9 ; 9+6=15 ; 9+15=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=20 | 5x+20=20 ; 5x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 0, 4, 6, 8 | [0,1,4,6,8] ; [0,1,4,6,8] ; [0,1,4,6,8] ; [0,1,4,6,8] |
base_conversion | base_conversion:repeated-division | n=115,base=16 | DIV:115/16=7,r:3 ; DIV:7/16=0,r:7 ; OUT:73 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 101+389 | d2:1+9+0=10→w0,c1 ; d1:0+8+1=9→w9,c0 ; d0:1+3+0=4→w4,c0 ; sum=490 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 6, 2, 9 | [4,5,6,2,9] ; [4,5,6,2,9] ; [2,4,5,6,9] ; [2,4,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 660+132 | round:660+132=792 ; adjust:792-0=792 ; sum=792 |
list_summation | list_summation:pairwise | 7, 8, 2, 0 | 7+8=15 ; 2+0=2 ; 15+2=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 0, 9, 6 | [0,4,7,9,6] ; [0,4,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-9=36 | 9x-9=36 ; x+-1=4 ; x=4--1 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-18 | 6x-36=-18 ; x+-6=-3 ; x=-3--6 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 368+668 | d2:8+8+0=16→w6,c1 ; d1:6+6+1=13→w3,c1 ; d0:3+6+1=10→w0,c1 ; sum=1036 |
list_summation | list_summation:left-to-right | 1, 7, 3, 2 | 1+7=8 ; 8+3=11 ; 11+2=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 458+933 | round:460+933=1393 ; adjust:1393-2=1391 ; sum=1391 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 0, 6, 4, 3 | [0,1,6,4,3] ; [0,1,4,6,3] ; [0,1,3,4,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+4=20 | 2x+4=20 ; x+2=10 ; x=10-2 ; x=8 |
list_summation | list_summation:left-to-right | 0, 5, 7, 8 | 0+5=5 ; 5+7=12 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 552+633 | d2:2+3+0=5→w5,c0 ; d1:5+3+0=8→w8,c0 ; d0:5+6+0=11→w1,c1 ; sum=1185 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=60 | 6x+54=60 ; x=(60-54)/6 ; x=6/6 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 465+757 | d2:5+7+0=12→w2,c1 ; d1:6+5+1=12→w2,c1 ; d0:4+7+1=12→w2,c1 ; sum=1222 |
list_summation | list_summation:left-to-right | 5, 2, 2, 3 | 5+2=7 ; 7+2=9 ; 9+3=12 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 7, 1, 2 | [5,9,7,1,2] ; [5,7,9,1,2] ; [5,7,1,9,2] ; [5,7,1,2,9] ; [5,1,7,2,9] ; [5,1,2,7,9] ; [1,5,2,7,9] ; [1,2,5,7,9] |
list_summation | list_summation:pairwise | 2, 0, 2, 3 | 2+0=2 ; 2+3=5 ; 2+5=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 9, 4, 9, 1 | 9+4=13 ; 13+9=22 ; 22+1=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,3) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
list_summation | list_summation:pairwise | 0, 6, 9, 1 | 0+6=6 ; 9+1=10 ; 6+10=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 4, 0, 3 | [2,6,4,0,3] ; [2,6,0,4,3] ; [0,2,4,6,3] ; [0,2,3,4,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 784+202 | round:790+202=992 ; adjust:992-6=986 ; sum=986 |
multidigit_addition | multidigit_addition:left-to-right-partials | 114+258 | p100:100+200=300 ; p10:10+50=60 ; p1:4+8=12 ; sum=300+60+12=372 |
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 | 4, 9, 8, 2, 1 | [1,9,8,2,4] ; [1,2,8,9,4] ; [1,2,4,9,8] ; [1,2,4,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=7 | 7x+0=7 ; x=(7-0)/7 ; x=7/7 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 7, 4, 6 | [8,0,7,4,6] ; [8,6,7,4,0] ; [0,6,7,4,8] ; [7,6,0,4,8] ; [4,6,0,7,8] ; [6,4,0,7,8] ; [0,4,6,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
base_conversion | base_conversion:decomposition | n=162,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:242 |
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