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=63,base=16 | DIV:63/16=3,r:15 ; DIV:3/16=0,r:3 ; OUT:3F |
base_conversion | base_conversion:decomposition | n=78,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:116 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-16=-52 | 4x-16=-52 ; x+-4=-13 ; x=-13--4 ; x=-9 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 3, 0, 5, 4 | [0,3,6,5,4] ; [0,3,6,5,4] ; [0,3,4,5,6] ; [0,3,4,5,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=32 | 8x+72=32 ; 8x=-40 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 3, 6, 9 | [0,4,3,6,9] ; [0,3,4,6,9] ; [0,3,4,6,9] ; [0,3,4,6,9] |
base_conversion | base_conversion:decomposition | n=165,base=16 | TERM:10*16^1=160 ; TERM:5*16^0=5 ; OUT:A5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 3, 6, 5 | [2,3,7,6,5] ; [2,3,6,7,5] ; [2,3,6,5,7] ; [2,3,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 916+127 | round:920+127=1047 ; adjust:1047-4=1043 ; sum=1043 |
multidigit_addition | multidigit_addition:right-to-left-carry | 969+657 | d2:9+7+0=16→w6,c1 ; d1:6+5+1=12→w2,c1 ; d0:9+6+1=16→w6,c1 ; sum=1626 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=-30 | 6x-42=-30 ; x+-7=-5 ; x=-5--7 ; x=2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 446+893 | round:450+893=1343 ; adjust:1343-4=1339 ; sum=1339 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 7, 6, 3 | [1,4,7,6,3] ; [1,4,7,6,3] ; [1,4,6,7,3] ; [1,3,4,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=30 | 2x+18=30 ; 2x=12 ; x=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 6, 5, 9 | [3,6,8,5,9] ; [3,6,5,8,9] ; [3,5,6,8,9] |
list_summation | list_summation:pairwise | 2, 7, 7, 3 | 2+7=9 ; 7+3=10 ; 9+10=19 |
list_summation | list_summation:pairwise | 2, 6, 5, 5 | 2+6=8 ; 5+5=10 ; 8+10=18 |
base_conversion | base_conversion:repeated-division | n=32,base=8 | DIV:32/8=4,r:0 ; DIV:4/8=0,r:4 ; OUT:40 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
base_conversion | base_conversion:decomposition | n=226,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:342 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=36 | 4x+8=36 ; x+2=9 ; x=9-2 ; x=7 |
list_summation | list_summation:pairwise | 0, 6, 6, 8 | 0+6=6 ; 6+8=14 ; 6+14=20 |
list_summation | list_summation:right-to-left | 2, 3, 1, 3 | 1+3=4 ; 3+4=7 ; 2+7=9 |
list_summation | list_summation:pairwise | 9, 5, 4, 2 | 9+5=14 ; 4+2=6 ; 14+6=20 |
base_conversion | base_conversion:via-binary | n=135,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:7 ; OUT:207 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-91 | 7x-35=-91 ; 7x=-56 ; x=-8 |
base_conversion | base_conversion:via-binary | n=106,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:2 ; OUT:152 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=4 | 2x+16=4 ; 2x=-12 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 6, 3, 9, 8 | 6+3=9 ; 9+8=17 ; 9+17=26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-10=35 | 5x-10=35 ; x=(35--10)/5 ; x=45/5 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 752+863 | round:760+863=1623 ; adjust:1623-8=1615 ; sum=1615 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 7, 6, 1 | [2,5,7,6,1] ; [2,5,6,7,1] ; [1,2,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 332+520 | d2:2+0+0=2→w2,c0 ; d1:3+2+0=5→w5,c0 ; d0:3+5+0=8→w8,c0 ; sum=852 |
list_summation | list_summation:pairwise | 3, 3, 1, 2 | 3+3=6 ; 1+2=3 ; 6+3=9 |
list_summation | list_summation:pairwise | 3, 8, 9, 6 | 3+8=11 ; 9+6=15 ; 11+15=26 |
list_summation | list_summation:pairwise | 1, 8, 3, 8 | 1+8=9 ; 3+8=11 ; 9+11=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 184+617 | p100:100+600=700 ; p10:80+10=90 ; p1:4+7=11 ; sum=700+90+11=801 |
list_summation | list_summation:pairwise | 9, 4, 3, 7 | 9+4=13 ; 3+7=10 ; 13+10=23 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 8, 1, 3 | [4,5,1,8,3] ; [1,4,5,8,3] ; [1,3,4,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 246+694 | p100:200+600=800 ; p10:40+90=130 ; p1:6+4=10 ; sum=800+130+10=940 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 7, 4, 5, 6 | [0,7,4,5,6] ; [0,4,7,5,6] ; [0,4,5,7,6] ; [0,4,5,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 7, 9, 3 | [1,4,7,9,3] ; [1,4,7,3,9] ; [1,4,3,7,9] ; [1,3,4,7,9] |
list_summation | list_summation:pairwise | 0, 3, 6, 3 | 0+3=3 ; 6+3=9 ; 3+9=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-32=-68 | 4x-32=-68 ; x+-8=-17 ; x=-17--8 ; x=-9 |
base_conversion | base_conversion:via-binary | n=253,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:375 |
base_conversion | base_conversion:decomposition | n=182,base=16 | TERM:11*16^1=176 ; TERM:6*16^0=6 ; OUT:B6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 930+813 | d2:0+3+0=3→w3,c0 ; d1:3+1+0=4→w4,c0 ; d0:9+8+0=17→w7,c1 ; sum=1743 |
base_conversion | base_conversion:decomposition | n=253,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11111101 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 1, 8, 5 | [1,3,7,8,5] ; [1,3,7,8,5] ; [1,3,5,8,7] ; [1,3,5,7,8] |
base_conversion | base_conversion:repeated-division | n=72,base=16 | DIV:72/16=4,r:8 ; DIV:4/16=0,r:4 ; OUT:48 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 9, 2, 4 | [0,6,9,2,4] ; [0,2,9,6,4] ; [0,2,4,6,9] ; [0,2,4,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 653+661 | round:660+661=1321 ; adjust:1321-7=1314 ; sum=1314 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 9, 0, 7 | [6,8,9,0,7] ; [6,8,9,0,7] ; [0,6,8,9,7] ; [0,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=241,base=8 | DIV:241/8=30,r:1 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:361 |
multidigit_addition | multidigit_addition:right-to-left-carry | 897+958 | d2:7+8+0=15→w5,c1 ; d1:9+5+1=15→w5,c1 ; d0:8+9+1=18→w8,c1 ; sum=1855 |
list_summation | list_summation:right-to-left | 7, 0, 8, 5 | 8+5=13 ; 0+13=13 ; 7+13=20 |
multidigit_addition | multidigit_addition:left-to-right-partials | 953+860 | p100:900+800=1700 ; p10:50+60=110 ; p1:3+0=3 ; sum=1700+110+3=1813 |
base_conversion | base_conversion:repeated-division | n=36,base=4 | DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:210 |
multidigit_addition | multidigit_addition:rounding-decomposition | 829+757 | round:830+757=1587 ; adjust:1587-1=1586 ; sum=1586 |
multidigit_addition | multidigit_addition:left-to-right-partials | 306+159 | p100:300+100=400 ; p10:0+50=50 ; p1:6+9=15 ; sum=400+50+15=465 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=0 | 5x-15=0 ; x=(0--15)/5 ; x=15/5 ; x=3 |
base_conversion | base_conversion:decomposition | n=45,base=8 | TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:55 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+45=80 | 5x+45=80 ; x=(80-45)/5 ; x=35/5 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=28 | 7x+49=28 ; x+7=4 ; x=4-7 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 781+889 | d2:1+9+0=10→w0,c1 ; d1:8+8+1=17→w7,c1 ; d0:7+8+1=16→w6,c1 ; sum=1670 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 4, 7, 6, 0 | [3,4,6,7,0] ; [3,4,6,0,7] ; [3,4,0,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
base_conversion | base_conversion:decomposition | n=91,base=16 | TERM:5*16^1=80 ; TERM:11*16^0=11 ; OUT:5B |
list_summation | list_summation:right-to-left | 2, 1, 3, 3 | 3+3=6 ; 1+6=7 ; 2+7=9 |
list_summation | list_summation:left-to-right | 9, 4, 0, 6 | 9+4=13 ; 13+0=13 ; 13+6=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-60 | 6x-54=-60 ; 6x=-6 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 183+537 | p100:100+500=600 ; p10:80+30=110 ; p1:3+7=10 ; sum=600+110+10=720 |
base_conversion | base_conversion:repeated-division | n=140,base=8 | DIV:140/8=17,r:4 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:214 |
list_summation | list_summation:right-to-left | 9, 4, 7, 9 | 7+9=16 ; 4+16=20 ; 9+20=29 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 2, 9, 8 | [4,7,2,9,8] ; [4,2,7,9,8] ; [4,2,7,8,9] ; [2,4,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 356+714 | p100:300+700=1000 ; p10:50+10=60 ; p1:6+4=10 ; sum=1000+60+10=1070 |
list_summation | list_summation:pairwise | 9, 0, 3, 5 | 9+0=9 ; 3+5=8 ; 9+8=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 491+584 | round:500+584=1084 ; adjust:1084-9=1075 ; sum=1075 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=99,base=16 | TERM:6*16^1=96 ; TERM:3*16^0=3 ; OUT:63 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
base_conversion | base_conversion:repeated-division | n=78,base=8 | DIV:78/8=9,r:6 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:116 |
base_conversion | base_conversion:repeated-division | n=188,base=4 | DIV:188/4=47,r:0 ; DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2330 |
base_conversion | base_conversion:via-binary | n=178,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:2 ; OUT:B2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=80 | 8x+8=80 ; x+1=10 ; x=10-1 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 617+473 | d2:7+3+0=10→w0,c1 ; d1:1+7+1=9→w9,c0 ; d0:6+4+0=10→w0,c1 ; sum=1090 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:decomposition | n=38,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:0*2^0=0 ; OUT:100110 |
base_conversion | base_conversion:via-binary | n=225,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11100001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=-6 | 2x+6=-6 ; x+3=-3 ; x=-3-3 ; x=-6 |
list_summation | list_summation:right-to-left | 9, 2, 1, 8 | 1+8=9 ; 2+9=11 ; 9+11=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=-9 | 3x-3=-9 ; 3x=-6 ; x=-2 |
list_summation | list_summation:left-to-right | 0, 1, 4, 1 | 0+1=1 ; 1+4=5 ; 5+1=6 |
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