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=206,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11001110 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=-6 | 6x-6=-6 ; x+-1=-1 ; x=-1--1 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 842+723 | d2:2+3+0=5→w5,c0 ; d1:4+2+0=6→w6,c0 ; d0:8+7+0=15→w5,c1 ; sum=1565 |
base_conversion | base_conversion:via-binary | n=203,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:11 ; OUT:CB |
list_summation | list_summation:right-to-left | 0, 1, 2, 4 | 2+4=6 ; 1+6=7 ; 0+7=7 |
base_conversion | base_conversion:repeated-division | n=221,base=2 | DIV:221/2=110,r:1 ; 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:11011101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 514+895 | d2:4+5+0=9→w9,c0 ; d1:1+9+0=10→w0,c1 ; d0:5+8+1=14→w4,c1 ; sum=1409 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=-14 | 7x+7=-14 ; x=(-14-7)/7 ; x=-21/7 ; x=-3 |
base_conversion | base_conversion:via-binary | n=224,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:0 ; OUT:E0 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 2, 7, 9 | [1,4,2,7,9] ; [1,2,4,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 900+188 | d2:0+8+0=8→w8,c0 ; d1:0+8+0=8→w8,c0 ; d0:9+1+0=10→w0,c1 ; sum=1088 |
list_summation | list_summation:left-to-right | 7, 7, 7, 5 | 7+7=14 ; 14+7=21 ; 21+5=26 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 1, 0, 8, 7 | [1,5,0,8,7] ; [0,1,5,8,7] ; [0,1,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 464+409 | round:470+409=879 ; adjust:879-6=873 ; sum=873 |
multidigit_addition | multidigit_addition:right-to-left-carry | 725+350 | d2:5+0+0=5→w5,c0 ; d1:2+5+0=7→w7,c0 ; d0:7+3+0=10→w0,c1 ; sum=1075 |
list_summation | list_summation:left-to-right | 6, 1, 5, 2 | 6+1=7 ; 7+5=12 ; 12+2=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 7, 8, 2 | [9,8,7,6,2] ; [2,8,7,6,9] ; [8,2,7,6,9] ; [8,6,7,2,9] ; [2,6,7,8,9] ; [7,6,2,8,9] ; [2,6,7,8,9] ; [6,2,7,8,9] ; [2,6,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 618+880 | p100:600+800=1400 ; p10:10+80=90 ; p1:8+0=8 ; sum=1400+90+8=1498 |
list_summation | list_summation:left-to-right | 7, 8, 6, 5 | 7+8=15 ; 15+6=21 ; 21+5=26 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=72 | 9x-9=72 ; 9x=81 ; x=9 |
base_conversion | base_conversion:repeated-division | n=13,base=8 | DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:15 |
list_summation | list_summation:left-to-right | 9, 6, 1, 0 | 9+6=15 ; 15+1=16 ; 16+0=16 |
list_summation | list_summation:right-to-left | 4, 9, 4, 6 | 4+6=10 ; 9+10=19 ; 4+19=23 |
base_conversion | base_conversion:via-binary | n=227,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100011 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 0, 7, 5 | [0,8,1,7,5] ; [0,1,8,7,5] ; [0,1,5,7,8] ; [0,1,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 626+246 | round:630+246=876 ; adjust:876-4=872 ; sum=872 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) |
list_summation | list_summation:right-to-left | 8, 4, 9, 8 | 9+8=17 ; 4+17=21 ; 8+21=29 |
list_summation | list_summation:pairwise | 4, 0, 5, 7 | 4+0=4 ; 5+7=12 ; 4+12=16 |
base_conversion | base_conversion:via-binary | n=74,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:10 ; OUT:4A |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
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:repeated-division | n=247,base=4 | DIV:247/4=61,r:3 ; DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3313 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 0, 7, 4 | [0,2,1,7,4] ; [0,1,2,7,4] ; [0,1,2,7,4] ; [0,1,2,4,7] |
list_summation | list_summation:pairwise | 8, 3, 4, 7 | 8+3=11 ; 4+7=11 ; 11+11=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 730+728 | round:730+728=1458 ; adjust:1458-0=1458 ; sum=1458 |
multidigit_addition | multidigit_addition:rounding-decomposition | 786+201 | round:790+201=991 ; adjust:991-4=987 ; sum=987 |
list_summation | list_summation:pairwise | 5, 9, 1, 3 | 5+9=14 ; 1+3=4 ; 14+4=18 |
list_summation | list_summation:pairwise | 0, 9, 1, 1 | 0+9=9 ; 1+1=2 ; 9+2=11 |
list_summation | list_summation:pairwise | 6, 6, 4, 2 | 6+6=12 ; 4+2=6 ; 12+6=18 |
base_conversion | base_conversion:repeated-division | n=41,base=16 | DIV:41/16=2,r:9 ; DIV:2/16=0,r:2 ; OUT:29 |
base_conversion | base_conversion:decomposition | n=52,base=4 | TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:310 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 8, 9, 6 | [0,3,8,9,6] ; [0,3,8,9,6] ; [0,3,6,9,8] ; [0,3,6,8,9] |
list_summation | list_summation:left-to-right | 4, 3, 7, 8 | 4+3=7 ; 7+7=14 ; 14+8=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=35 | 5x+20=35 ; x=(35-20)/5 ; x=15/5 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 833+984 | p100:800+900=1700 ; p10:30+80=110 ; p1:3+4=7 ; sum=1700+110+7=1817 |
multidigit_addition | multidigit_addition:right-to-left-carry | 555+701 | d2:5+1+0=6→w6,c0 ; d1:5+0+0=5→w5,c0 ; d0:5+7+0=12→w2,c1 ; sum=1256 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(2,4) | D:(1,3) ; D:(2,3) ; R:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 827+768 | p100:800+700=1500 ; p10:20+60=80 ; p1:7+8=15 ; sum=1500+80+15=1595 |
base_conversion | base_conversion:decomposition | n=26,base=8 | TERM:3*8^1=24 ; TERM:2*8^0=2 ; OUT:32 |
base_conversion | base_conversion:repeated-division | n=36,base=2 | DIV:36/2=18,r:0 ; 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:100100 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-42=21 | 7x-42=21 ; x=(21--42)/7 ; x=63/7 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=-22 | 2x-14=-22 ; x=(-22--14)/2 ; x=-8/2 ; x=-4 |
base_conversion | base_conversion:via-binary | n=37,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:211 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 953+584 | p100:900+500=1400 ; p10:50+80=130 ; p1:3+4=7 ; sum=1400+130+7=1537 |
list_summation | list_summation:right-to-left | 7, 8, 0, 9 | 0+9=9 ; 8+9=17 ; 7+17=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 4, 5, 9 | [0,4,6,5,9] ; [0,4,5,6,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 9, 6, 3 | [2,7,9,6,3] ; [2,7,6,9,3] ; [2,6,7,9,3] ; [2,3,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=14 | 2x+16=14 ; x=(14-16)/2 ; x=-2/2 ; x=-1 |
base_conversion | base_conversion:decomposition | n=26,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11010 |
base_conversion | base_conversion:decomposition | n=235,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:11101011 |
base_conversion | base_conversion:via-binary | n=81,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:1 ; OUT:51 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 5, 3, 7 | [8,9,3,5,7] ; [3,5,8,9,7] ; [3,5,7,8,9] |
list_summation | list_summation:right-to-left | 0, 0, 1, 3 | 1+3=4 ; 0+4=4 ; 0+4=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
list_summation | list_summation:left-to-right | 3, 6, 8, 5 | 3+6=9 ; 9+8=17 ; 17+5=22 |
list_summation | list_summation:right-to-left | 6, 2, 8, 8 | 8+8=16 ; 2+16=18 ; 6+18=24 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 8, 2, 5 | [1,6,8,2,5] ; [1,6,2,8,5] ; [1,2,6,8,5] ; [1,2,5,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 610+429 | d2:0+9+0=9→w9,c0 ; d1:1+2+0=3→w3,c0 ; d0:6+4+0=10→w0,c1 ; sum=1039 |
multidigit_addition | multidigit_addition:right-to-left-carry | 896+770 | d2:6+0+0=6→w6,c0 ; d1:9+7+0=16→w6,c1 ; d0:8+7+1=16→w6,c1 ; sum=1666 |
base_conversion | base_conversion:decomposition | n=204,base=16 | TERM:12*16^1=192 ; TERM:12*16^0=12 ; OUT:CC |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=-3 | 3x+9=-3 ; x+3=-1 ; x=-1-3 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=24 | 6x+30=24 ; x+5=4 ; x=4-5 ; x=-1 |
list_summation | list_summation:right-to-left | 7, 9, 3, 7 | 3+7=10 ; 9+10=19 ; 7+19=26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=90 | 6x+48=90 ; x=(90-48)/6 ; x=42/6 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 814+541 | round:820+541=1361 ; adjust:1361-6=1355 ; sum=1355 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
base_conversion | base_conversion:decomposition | n=128,base=16 | TERM:8*16^1=128 ; TERM:0*16^0=0 ; OUT:80 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+12=-42 | 6x+12=-42 ; 6x=-54 ; x=-9 |
list_summation | list_summation:right-to-left | 6, 5, 9, 9 | 9+9=18 ; 5+18=23 ; 6+23=29 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 9, 5, 7, 0 | [9,1,5,7,0] ; [9,7,5,1,0] ; [0,7,5,1,9] ; [7,0,5,1,9] ; [7,1,5,0,9] ; [0,1,5,7,9] ; [5,1,0,7,9] ; [0,1,5,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 784+788 | round:790+788=1578 ; adjust:1578-6=1572 ; sum=1572 |
base_conversion | base_conversion:repeated-division | n=177,base=8 | DIV:177/8=22,r:1 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:261 |
list_summation | list_summation:left-to-right | 2, 4, 3, 8 | 2+4=6 ; 6+3=9 ; 9+8=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=36 | 9x+27=36 ; 9x=9 ; x=1 |
list_summation | list_summation:left-to-right | 6, 9, 0, 9 | 6+9=15 ; 15+0=15 ; 15+9=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=14 | 7x+56=14 ; x=(14-56)/7 ; x=-42/7 ; x=-6 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 1, 9, 3 | [2,9,1,8,3] ; [9,2,1,8,3] ; [9,8,1,2,3] ; [3,8,1,2,9] ; [8,3,1,2,9] ; [2,3,1,8,9] ; [3,2,1,8,9] ; [1,2,3,8,9] ; [2,1,3,8,9] ; [1,2,3,8,9] |
base_conversion | base_conversion:via-binary | n=111,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:1233 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 9, 3, 8, 7 | [0,9,3,8,7] ; [0,3,9,8,7] ; [0,3,7,8,9] ; [0,3,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
list_summation | list_summation:left-to-right | 8, 3, 0, 1 | 8+3=11 ; 11+0=11 ; 11+1=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 286+397 | p100:200+300=500 ; p10:80+90=170 ; p1:6+7=13 ; sum=500+170+13=683 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 4, 5, 1 | [3,9,4,5,1] ; [3,4,5,9,1] ; [1,3,4,5,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 502+150 | round:510+150=660 ; adjust:660-8=652 ; sum=652 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.