task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 385+564 | round:390+564=954 ; adjust:954-5=949 ; sum=949 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 7, 8, 2 | [5,8,7,6,2] ; [8,5,7,6,2] ; [8,6,7,5,2] ; [2,6,7,5,8] ; [7,6,2,5,8] ; [5,6,2,7,8] ; [6,5,2,7,8] ; [2,5,6,7,8] ; [5,2,6,7,8] ; [2,5,6,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 5, 0, 2 | [3,7,5,0,2] ; [3,5,7,0,2] ; [0,3,5,7,2] ; [0,2,3,5,7] |
list_summation | list_summation:pairwise | 9, 8, 4, 2 | 9+8=17 ; 4+2=6 ; 17+6=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 207+223 | p100:200+200=400 ; p10:0+20=20 ; p1:7+3=10 ; sum=400+20+10=430 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 2, 8, 4, 8 | 2+8=10 ; 4+8=12 ; 10+12=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 4, 6, 9, 0 | [4,5,6,9,0] ; [0,4,5,6,9] |
base_conversion | base_conversion:decomposition | n=252,base=16 | TERM:15*16^1=240 ; TERM:12*16^0=12 ; OUT:FC |
multidigit_addition | multidigit_addition:rounding-decomposition | 103+586 | round:110+586=696 ; adjust:696-7=689 ; sum=689 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 4, 0, 3, 9 | [0,2,3,4,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 929+781 | p100:900+700=1600 ; p10:20+80=100 ; p1:9+1=10 ; sum=1600+100+10=1710 |
base_conversion | base_conversion:decomposition | n=123,base=16 | TERM:7*16^1=112 ; TERM:11*16^0=11 ; OUT:7B |
base_conversion | base_conversion:repeated-division | n=202,base=8 | DIV:202/8=25,r:2 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:312 |
list_summation | list_summation:right-to-left | 9, 5, 6, 4 | 6+4=10 ; 5+10=15 ; 9+15=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-48 | 8x-40=-48 ; x=(-48--40)/8 ; x=-8/8 ; x=-1 |
list_summation | list_summation:left-to-right | 5, 3, 9, 7 | 5+3=8 ; 8+9=17 ; 17+7=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=-10 | 5x+0=-10 ; x=(-10-0)/5 ; x=-10/5 ; x=-2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 3, 4, 6 | [1,9,3,4,6] ; [1,3,9,4,6] ; [1,3,4,9,6] ; [1,3,4,6,9] |
list_summation | list_summation:pairwise | 9, 2, 2, 0 | 9+2=11 ; 2+0=2 ; 11+2=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-70 | 7x-28=-70 ; x+-4=-10 ; x=-10--4 ; x=-6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,1) | R:(0,1) ; D:(1,1) ; D:(2,1) |
list_summation | list_summation:right-to-left | 2, 0, 0, 4 | 0+4=4 ; 0+4=4 ; 2+4=6 |
list_summation | list_summation:pairwise | 0, 4, 4, 0 | 0+4=4 ; 4+0=4 ; 4+4=8 |
list_summation | list_summation:right-to-left | 8, 5, 4, 5 | 4+5=9 ; 5+9=14 ; 8+14=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-4=20 | 4x-4=20 ; x=(20--4)/4 ; x=24/4 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 528+870 | p100:500+800=1300 ; p10:20+70=90 ; p1:8+0=8 ; sum=1300+90+8=1398 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 0, 5, 2 | [8,9,0,5,2] ; [0,8,9,5,2] ; [0,5,8,9,2] ; [0,2,5,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 9, 8, 3 | [5,8,9,0,3] ; [9,8,5,0,3] ; [3,8,5,0,9] ; [8,3,5,0,9] ; [0,3,5,8,9] ; [5,3,0,8,9] ; [0,3,5,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-15 | 5x-35=-15 ; x=(-15--35)/5 ; x=20/5 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
list_summation | list_summation:left-to-right | 6, 7, 7, 1 | 6+7=13 ; 13+7=20 ; 20+1=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 1, 4, 7, 2 | [0,1,4,7,2] ; [0,1,4,7,2] ; [0,1,4,7,2] ; [0,1,2,4,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=36 | 6x+54=36 ; x=(36-54)/6 ; x=-18/6 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 156+138 | p100:100+100=200 ; p10:50+30=80 ; p1:6+8=14 ; sum=200+80+14=294 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 8, 9, 3 | [4,6,8,3,9] ; [4,6,3,8,9] ; [4,3,6,8,9] ; [3,4,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 419+330 | round:420+330=750 ; adjust:750-1=749 ; sum=749 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 3, 5, 8 | [0,9,3,5,8] ; [0,3,9,5,8] ; [0,3,5,9,8] ; [0,3,5,8,9] |
list_summation | list_summation:right-to-left | 7, 0, 4, 9 | 4+9=13 ; 0+13=13 ; 7+13=20 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=-36 | 6x-42=-36 ; x=(-36--42)/6 ; x=6/6 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 887+410 | d2:7+0+0=7→w7,c0 ; d1:8+1+0=9→w9,c0 ; d0:8+4+0=12→w2,c1 ; sum=1297 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 6, 7, 5, 0 | [7,6,3,5,0] ; [0,6,3,5,7] ; [6,0,3,5,7] ; [6,5,3,0,7] ; [0,5,3,6,7] ; [5,0,3,6,7] ; [3,0,5,6,7] ; [0,3,5,6,7] |
base_conversion | base_conversion:repeated-division | n=193,base=2 | DIV:193/2=96,r:1 ; DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11000001 |
list_summation | list_summation:left-to-right | 1, 9, 5, 6 | 1+9=10 ; 10+5=15 ; 15+6=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-36 | 6x-48=-36 ; 6x=12 ; x=2 |
base_conversion | base_conversion:decomposition | n=127,base=2 | 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:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 598+125 | d2:8+5+0=13→w3,c1 ; d1:9+2+1=12→w2,c1 ; d0:5+1+1=7→w7,c0 ; sum=723 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=55 | 5x+20=55 ; 5x=35 ; x=7 |
list_summation | list_summation:pairwise | 9, 7, 8, 7 | 9+7=16 ; 8+7=15 ; 16+15=31 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,5) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 235+229 | round:240+229=469 ; adjust:469-5=464 ; sum=464 |
base_conversion | base_conversion:repeated-division | n=20,base=16 | DIV:20/16=1,r:4 ; DIV:1/16=0,r:1 ; OUT:14 |
base_conversion | base_conversion:decomposition | n=171,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10101011 |
list_summation | list_summation:pairwise | 6, 7, 8, 6 | 6+7=13 ; 8+6=14 ; 13+14=27 |
list_summation | list_summation:pairwise | 6, 4, 3, 4 | 6+4=10 ; 3+4=7 ; 10+7=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=5 | 5x+20=5 ; x=(5-20)/5 ; x=-15/5 ; x=-3 |
base_conversion | base_conversion:via-binary | n=163,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10100011 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) |
list_summation | list_summation:left-to-right | 3, 8, 1, 7 | 3+8=11 ; 11+1=12 ; 12+7=19 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 6, 4, 9 | [0,7,6,4,9] ; [0,4,6,7,9] ; [0,4,6,7,9] ; [0,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=227,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3203 |
multidigit_addition | multidigit_addition:right-to-left-carry | 166+640 | d2:6+0+0=6→w6,c0 ; d1:6+4+0=10→w0,c1 ; d0:1+6+1=8→w8,c0 ; sum=806 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(3,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-20=5 | 5x-20=5 ; 5x=25 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-16 | 2x-12=-16 ; x+-6=-8 ; x=-8--6 ; x=-2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-72 | 6x-30=-72 ; x+-5=-12 ; x=-12--5 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 331+396 | d2:1+6+0=7→w7,c0 ; d1:3+9+0=12→w2,c1 ; d0:3+3+1=7→w7,c0 ; sum=727 |
list_summation | list_summation:left-to-right | 3, 4, 8, 5 | 3+4=7 ; 7+8=15 ; 15+5=20 |
base_conversion | base_conversion:via-binary | n=25,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:9 ; OUT:19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=208,base=16 | TERM:13*16^1=208 ; TERM:0*16^0=0 ; OUT:D0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 752+177 | d2:2+7+0=9→w9,c0 ; d1:5+7+0=12→w2,c1 ; d0:7+1+1=9→w9,c0 ; sum=929 |
multidigit_addition | multidigit_addition:right-to-left-carry | 308+745 | d2:8+5+0=13→w3,c1 ; d1:0+4+1=5→w5,c0 ; d0:3+7+0=10→w0,c1 ; sum=1053 |
multidigit_addition | multidigit_addition:right-to-left-carry | 319+203 | d2:9+3+0=12→w2,c1 ; d1:1+0+1=2→w2,c0 ; d0:3+2+0=5→w5,c0 ; sum=522 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=50 | 5x+10=50 ; x+2=10 ; x=10-2 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 563+196 | d2:3+6+0=9→w9,c0 ; d1:6+9+0=15→w5,c1 ; d0:5+1+1=7→w7,c0 ; sum=759 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-51 | 3x-24=-51 ; x+-8=-17 ; x=-17--8 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 903+756 | d2:3+6+0=9→w9,c0 ; d1:0+5+0=5→w5,c0 ; d0:9+7+0=16→w6,c1 ; sum=1659 |
base_conversion | base_conversion:decomposition | n=196,base=16 | TERM:12*16^1=192 ; TERM:4*16^0=4 ; OUT:C4 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 5, 2, 7 | [2,8,5,3,7] ; [2,3,5,8,7] ; [2,3,5,8,7] ; [2,3,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 3, 6, 7 | [0,3,5,6,7] |
list_summation | list_summation:pairwise | 1, 5, 3, 3 | 1+5=6 ; 3+3=6 ; 6+6=12 |
base_conversion | base_conversion:repeated-division | n=178,base=16 | DIV:178/16=11,r:2 ; DIV:11/16=0,r:11 ; OUT:B2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=0 | 7x+0=0 ; 7x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 0, 2, 4 | [0,2,5,6,4] ; [0,2,4,5,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-34 | 2x-18=-34 ; 2x=-16 ; x=-8 |
base_conversion | base_conversion:via-binary | n=61,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:111101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 740+278 | round:740+278=1018 ; adjust:1018-0=1018 ; sum=1018 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-48 | 8x-24=-48 ; x=(-48--24)/8 ; x=-24/8 ; x=-3 |
list_summation | list_summation:left-to-right | 4, 9, 5, 2 | 4+9=13 ; 13+5=18 ; 18+2=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-20=-44 | 4x-20=-44 ; 4x=-24 ; x=-6 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 8, 6, 9 | [1,7,8,6,9] ; [1,7,6,8,9] ; [1,6,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 597+459 | round:600+459=1059 ; adjust:1059-3=1056 ; sum=1056 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=21 | 3x+6=21 ; x+2=7 ; x=7-2 ; x=5 |
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