task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=164,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:2210 |
base_conversion | base_conversion:via-binary | n=125,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1111101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,3) | R:(0,3) ; D:(1,3) ; D:(2,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 0, 1, 3 | [5,8,0,1,3] ; [0,1,5,8,3] ; [0,1,3,5,8] |
base_conversion | base_conversion:repeated-division | n=35,base=8 | DIV:35/8=4,r:3 ; DIV:4/8=0,r:4 ; OUT:43 |
multidigit_addition | multidigit_addition:right-to-left-carry | 823+146 | d2:3+6+0=9→w9,c0 ; d1:2+4+0=6→w6,c0 ; d0:8+1+0=9→w9,c0 ; sum=969 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 6, 7, 4 | [1,3,6,7,4] ; [1,3,6,4,7] ; [1,3,4,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=125,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1111101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=-6 | 6x+6=-6 ; x+1=-1 ; x=-1-1 ; x=-2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 664+692 | p100:600+600=1200 ; p10:60+90=150 ; p1:4+2=6 ; sum=1200+150+6=1356 |
base_conversion | base_conversion:repeated-division | n=213,base=4 | DIV:213/4=53,r:1 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3111 |
list_summation | list_summation:right-to-left | 9, 1, 1, 7 | 1+7=8 ; 1+8=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 792+170 | p100:700+100=800 ; p10:90+70=160 ; p1:2+0=2 ; sum=800+160+2=962 |
base_conversion | base_conversion:via-binary | n=169,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:9 ; OUT:A9 |
base_conversion | base_conversion:repeated-division | n=138,base=2 | DIV:138/2=69,r:0 ; DIV:69/2=34,r:1 ; DIV:34/2=17,r:0 ; 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:10001010 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-40 | 5x-40=-40 ; x+-8=-8 ; x=-8--8 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=0 | 7x-49=0 ; x+-7=0 ; x=0--7 ; x=7 |
base_conversion | base_conversion:decomposition | n=177,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:2301 |
list_summation | list_summation:pairwise | 6, 1, 0, 4 | 6+1=7 ; 0+4=4 ; 7+4=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 488+671 | p100:400+600=1000 ; p10:80+70=150 ; p1:8+1=9 ; sum=1000+150+9=1159 |
multidigit_addition | multidigit_addition:right-to-left-carry | 982+267 | d2:2+7+0=9→w9,c0 ; d1:8+6+0=14→w4,c1 ; d0:9+2+1=12→w2,c1 ; sum=1249 |
list_summation | list_summation:left-to-right | 8, 4, 8, 9 | 8+4=12 ; 12+8=20 ; 20+9=29 |
multidigit_addition | multidigit_addition:left-to-right-partials | 718+443 | p100:700+400=1100 ; p10:10+40=50 ; p1:8+3=11 ; sum=1100+50+11=1161 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 3, 4, 2 | [2,9,3,4,6] ; [2,3,9,4,6] ; [2,3,4,9,6] ; [2,3,4,6,9] |
base_conversion | base_conversion:via-binary | n=253,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3331 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 8, 6, 3, 4 | [0,8,6,3,4] ; [0,3,6,8,4] ; [0,3,4,8,6] ; [0,3,4,6,8] |
list_summation | list_summation:pairwise | 0, 4, 9, 7 | 0+4=4 ; 9+7=16 ; 4+16=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=81 | 9x+36=81 ; x+4=9 ; x=9-4 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
base_conversion | base_conversion:repeated-division | n=3,base=2 | DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 169+700 | round:170+700=870 ; adjust:870-1=869 ; sum=869 |
multidigit_addition | multidigit_addition:right-to-left-carry | 476+267 | d2:6+7+0=13→w3,c1 ; d1:7+6+1=14→w4,c1 ; d0:4+2+1=7→w7,c0 ; sum=743 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-91 | 7x-42=-91 ; x+-6=-13 ; x=-13--6 ; x=-7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; D:(1,4) ; R:(1,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 592+376 | round:600+376=976 ; adjust:976-8=968 ; sum=968 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 6, 9, 0, 8 | [2,6,9,0,8] ; [2,6,9,0,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
list_summation | list_summation:pairwise | 5, 8, 4, 9 | 5+8=13 ; 4+9=13 ; 13+13=26 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-55 | 5x-35=-55 ; x=(-55--35)/5 ; x=-20/5 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=156,base=8 | DIV:156/8=19,r:4 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:234 |
base_conversion | base_conversion:via-binary | n=64,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:0 ; OUT:40 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 6, 4, 0 | [1,9,6,4,0] ; [1,9,4,6,0] ; [1,4,6,9,0] ; [0,1,4,6,9] |
list_summation | list_summation:right-to-left | 5, 0, 2, 4 | 2+4=6 ; 0+6=6 ; 5+6=11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 992+447 | d2:2+7+0=9→w9,c0 ; d1:9+4+0=13→w3,c1 ; d0:9+4+1=14→w4,c1 ; sum=1439 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 0, 4, 3, 8 | 3+8=11 ; 4+11=15 ; 0+15=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+5=-25 | 5x+5=-25 ; x+1=-5 ; x=-5-1 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 856+681 | d2:6+1+0=7→w7,c0 ; d1:5+8+0=13→w3,c1 ; d0:8+6+1=15→w5,c1 ; sum=1537 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+4=22 | 2x+4=22 ; x+2=11 ; x=11-2 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 856+130 | p100:800+100=900 ; p10:50+30=80 ; p1:6+0=6 ; sum=900+80+6=986 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 8, 6, 5 | [4,7,6,8,5] ; [4,6,7,8,5] ; [4,5,6,7,8] |
list_summation | list_summation:pairwise | 0, 2, 4, 8 | 0+2=2 ; 4+8=12 ; 2+12=14 |
base_conversion | base_conversion:decomposition | n=152,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10011000 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 6, 8, 6, 9 | 6+8=14 ; 14+6=20 ; 20+9=29 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-45 | 9x-81=-45 ; x=(-45--81)/9 ; x=36/9 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=24 | 4x-4=24 ; 4x=28 ; x=7 |
base_conversion | base_conversion:repeated-division | n=181,base=8 | DIV:181/8=22,r:5 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:265 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=108 | 9x+27=108 ; 9x=81 ; x=9 |
list_summation | list_summation:right-to-left | 2, 5, 0, 0 | 0+0=0 ; 5+0=5 ; 2+5=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 402+782 | p100:400+700=1100 ; p10:0+80=80 ; p1:2+2=4 ; sum=1100+80+4=1184 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-9 | 9x-81=-9 ; x=(-9--81)/9 ; x=72/9 ; x=8 |
base_conversion | base_conversion:repeated-division | n=209,base=8 | DIV:209/8=26,r:1 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:321 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 8, 0, 3 | [4,9,8,0,3] ; [4,8,9,0,3] ; [0,4,8,9,3] ; [0,3,4,8,9] |
list_summation | list_summation:pairwise | 0, 8, 7, 7 | 0+8=8 ; 7+7=14 ; 8+14=22 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 9, 6, 7, 2 | [1,9,6,7,2] ; [1,2,6,7,9] ; [1,2,6,7,9] ; [1,2,6,7,9] |
base_conversion | base_conversion:decomposition | n=166,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:246 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 5, 6, 7 | [1,4,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 897+487 | round:900+487=1387 ; adjust:1387-3=1384 ; sum=1384 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+12=39 | 3x+12=39 ; x=(39-12)/3 ; x=27/3 ; x=9 |
base_conversion | base_conversion:repeated-division | n=107,base=16 | DIV:107/16=6,r:11 ; DIV:6/16=0,r:6 ; OUT:6B |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 8, 1, 0 | [2,4,8,1,0] ; [2,4,8,1,0] ; [1,2,4,8,0] ; [0,1,2,4,8] |
list_summation | list_summation:left-to-right | 4, 2, 3, 3 | 4+2=6 ; 6+3=9 ; 9+3=12 |
list_summation | list_summation:pairwise | 5, 0, 3, 6 | 5+0=5 ; 3+6=9 ; 5+9=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 790+615 | d2:0+5+0=5→w5,c0 ; d1:9+1+0=10→w0,c1 ; d0:7+6+1=14→w4,c1 ; sum=1405 |
list_summation | list_summation:left-to-right | 8, 0, 3, 7 | 8+0=8 ; 8+3=11 ; 11+7=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
base_conversion | base_conversion:repeated-division | n=55,base=16 | DIV:55/16=3,r:7 ; DIV:3/16=0,r:3 ; OUT:37 |
base_conversion | base_conversion:via-binary | n=60,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:330 |
list_summation | list_summation:left-to-right | 3, 0, 2, 9 | 3+0=3 ; 3+2=5 ; 5+9=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 8, 7, 8, 5 | 8+5=13 ; 7+13=20 ; 8+20=28 |
base_conversion | base_conversion:via-binary | n=88,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:130 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=0 | 9x+81=0 ; 9x=-81 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=18 | 2x+12=18 ; x+6=9 ; x=9-6 ; x=3 |
base_conversion | base_conversion:repeated-division | n=79,base=2 | DIV:79/2=39,r:1 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; 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:1001111 |
base_conversion | base_conversion:repeated-division | n=51,base=8 | DIV:51/8=6,r:3 ; DIV:6/8=0,r:6 ; OUT:63 |
multidigit_addition | multidigit_addition:rounding-decomposition | 727+677 | round:730+677=1407 ; adjust:1407-3=1404 ; sum=1404 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 5, 0, 1 | [7,6,5,0,1] ; [1,6,5,0,7] ; [6,1,5,0,7] ; [0,1,5,6,7] ; [5,1,0,6,7] ; [0,1,5,6,7] ; [1,0,5,6,7] ; [0,1,5,6,7] |
base_conversion | base_conversion:decomposition | n=53,base=4 | TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:311 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=2 | 2x+0=2 ; 2x=2 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-72=-8 | 8x-72=-8 ; x+-9=-1 ; x=-1--9 ; x=8 |
list_summation | list_summation:left-to-right | 2, 3, 1, 1 | 2+3=5 ; 5+1=6 ; 6+1=7 |
base_conversion | base_conversion:via-binary | n=92,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:134 |
list_summation | list_summation:left-to-right | 3, 3, 2, 5 | 3+3=6 ; 6+2=8 ; 8+5=13 |
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