task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,4) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
base_conversion | base_conversion:decomposition | n=237,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:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11101101 |
list_summation | list_summation:right-to-left | 5, 4, 5, 0 | 5+0=5 ; 4+5=9 ; 5+9=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 529+502 | round:530+502=1032 ; adjust:1032-1=1031 ; sum=1031 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=16 | 4x+8=16 ; x+2=4 ; x=4-2 ; x=2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 113+206 | round:120+206=326 ; adjust:326-7=319 ; sum=319 |
base_conversion | base_conversion:decomposition | n=130,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10000010 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=25 | 5x+25=25 ; x=(25-25)/5 ; x=0/5 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=45 | 5x+0=45 ; 5x=45 ; x=9 |
base_conversion | base_conversion:repeated-division | n=56,base=16 | DIV:56/16=3,r:8 ; DIV:3/16=0,r:3 ; OUT:38 |
list_summation | list_summation:left-to-right | 3, 6, 7, 6 | 3+6=9 ; 9+7=16 ; 16+6=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=-12 | 4x+16=-12 ; 4x=-28 ; x=-7 |
list_summation | list_summation:right-to-left | 1, 7, 4, 7 | 4+7=11 ; 7+11=18 ; 1+18=19 |
grid_pathfinding | grid_pathfinding:right-first | 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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 9, 3, 0 | [2,5,9,3,0] ; [2,5,9,3,0] ; [2,3,5,9,0] ; [0,2,3,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-12 | 3x-15=-12 ; x+-5=-4 ; x=-4--5 ; x=1 |
list_summation | list_summation:right-to-left | 0, 9, 2, 6 | 2+6=8 ; 9+8=17 ; 0+17=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 6, 0, 3 | [4,3,6,0,1] ; [6,3,4,0,1] ; [1,3,4,0,6] ; [4,3,1,0,6] ; [0,3,1,4,6] ; [3,0,1,4,6] ; [1,0,3,4,6] ; [0,1,3,4,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 102+572 | p100:100+500=600 ; p10:0+70=70 ; p1:2+2=4 ; sum=600+70+4=674 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+24=72 | 6x+24=72 ; x+4=12 ; x=12-4 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 2, 4, 2, 6 | 2+4=6 ; 2+6=8 ; 6+8=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 235+630 | round:240+630=870 ; adjust:870-5=865 ; sum=865 |
multidigit_addition | multidigit_addition:rounding-decomposition | 104+274 | round:110+274=384 ; adjust:384-6=378 ; sum=378 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 9, 6, 8 | [1,3,9,6,8] ; [1,3,9,6,8] ; [1,3,6,9,8] ; [1,3,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 119+842 | p100:100+800=900 ; p10:10+40=50 ; p1:9+2=11 ; sum=900+50+11=961 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=32 | 8x+24=32 ; 8x=8 ; x=1 |
base_conversion | base_conversion:repeated-division | n=119,base=16 | DIV:119/16=7,r:7 ; DIV:7/16=0,r:7 ; OUT:77 |
multidigit_addition | multidigit_addition:rounding-decomposition | 443+119 | round:450+119=569 ; adjust:569-7=562 ; sum=562 |
base_conversion | base_conversion:via-binary | n=44,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
list_summation | list_summation:left-to-right | 6, 5, 4, 9 | 6+5=11 ; 11+4=15 ; 15+9=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-24=24 | 6x-24=24 ; 6x=48 ; x=8 |
base_conversion | base_conversion:via-binary | n=252,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:12 ; OUT:FC |
base_conversion | base_conversion:repeated-division | n=182,base=8 | DIV:182/8=22,r:6 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:266 |
list_summation | list_summation:pairwise | 5, 0, 8, 7 | 5+0=5 ; 8+7=15 ; 5+15=20 |
base_conversion | base_conversion:repeated-division | n=107,base=4 | DIV:107/4=26,r:3 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1223 |
multidigit_addition | multidigit_addition:right-to-left-carry | 287+407 | d2:7+7+0=14→w4,c1 ; d1:8+0+1=9→w9,c0 ; d0:2+4+0=6→w6,c0 ; sum=694 |
list_summation | list_summation:pairwise | 3, 0, 2, 9 | 3+0=3 ; 2+9=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+14=14 | 7x+14=14 ; x+2=2 ; x=2-2 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 1, 7, 9 | [8,9,1,7,5] ; [9,8,1,7,5] ; [5,8,1,7,9] ; [8,5,1,7,9] ; [8,7,1,5,9] ; [5,7,1,8,9] ; [7,5,1,8,9] ; [1,5,7,8,9] ; [5,1,7,8,9] ; [1,5,7,8,9] |
list_summation | list_summation:pairwise | 3, 7, 2, 8 | 3+7=10 ; 2+8=10 ; 10+10=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 324+116 | d2:4+6+0=10→w0,c1 ; d1:2+1+1=4→w4,c0 ; d0:3+1+0=4→w4,c0 ; sum=440 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 9, 6, 0 | [0,8,9,6,2] ; [0,2,9,6,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
base_conversion | base_conversion:repeated-division | n=92,base=16 | DIV:92/16=5,r:12 ; DIV:5/16=0,r:5 ; OUT:5C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=18 | 6x+36=18 ; 6x=-18 ; x=-3 |
base_conversion | base_conversion:via-binary | n=117,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:5 ; OUT:75 |
base_conversion | base_conversion:via-binary | n=104,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1101000 |
list_summation | list_summation:right-to-left | 9, 2, 1, 2 | 1+2=3 ; 2+3=5 ; 9+5=14 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 3, 9, 2, 5 | [3,6,9,2,5] ; [3,6,2,9,5] ; [2,3,6,9,5] ; [2,3,5,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 6, 9, 2 | [2,8,6,9,3] ; [2,3,6,9,8] ; [2,3,6,9,8] ; [2,3,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 4, 1, 0, 3 | [3,4,1,0,9] ; [4,3,1,0,9] ; [0,3,1,4,9] ; [3,0,1,4,9] ; [1,0,3,4,9] ; [0,1,3,4,9] |
base_conversion | base_conversion:via-binary | n=233,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:9 ; OUT:E9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-40 | 4x-28=-40 ; 4x=-12 ; x=-3 |
list_summation | list_summation:pairwise | 0, 1, 9, 7 | 0+1=1 ; 9+7=16 ; 1+16=17 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 8, 7, 4 | [2,9,8,7,4] ; [2,8,9,7,4] ; [2,7,8,9,4] ; [2,4,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=16 | 8x+24=16 ; x=(16-24)/8 ; x=-8/8 ; x=-1 |
base_conversion | base_conversion:decomposition | n=139,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; 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:10001011 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 1, 4, 6, 0 | [1,8,4,6,0] ; [1,4,6,8,0] ; [0,1,4,6,8] |
list_summation | list_summation:pairwise | 7, 2, 9, 5 | 7+2=9 ; 9+5=14 ; 9+14=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 545+224 | d2:5+4+0=9→w9,c0 ; d1:4+2+0=6→w6,c0 ; d0:5+2+0=7→w7,c0 ; sum=769 |
base_conversion | base_conversion:decomposition | n=82,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1102 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 728+526 | round:730+526=1256 ; adjust:1256-2=1254 ; sum=1254 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-16=-80 | 8x-16=-80 ; x+-2=-10 ; x=-10--2 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=40 | 4x+12=40 ; x+3=10 ; x=10-3 ; x=7 |
list_summation | list_summation:right-to-left | 8, 1, 7, 1 | 7+1=8 ; 1+8=9 ; 8+9=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 360+122 | d2:0+2+0=2→w2,c0 ; d1:6+2+0=8→w8,c0 ; d0:3+1+0=4→w4,c0 ; sum=482 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-72 | 9x-81=-72 ; 9x=9 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 791+834 | round:800+834=1634 ; adjust:1634-9=1625 ; sum=1625 |
list_summation | list_summation:right-to-left | 6, 5, 0, 9 | 0+9=9 ; 5+9=14 ; 6+14=20 |
list_summation | list_summation:right-to-left | 6, 3, 3, 3 | 3+3=6 ; 3+6=9 ; 6+9=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 977+269 | p100:900+200=1100 ; p10:70+60=130 ; p1:7+9=16 ; sum=1100+130+16=1246 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 5, 1, 9 | [2,4,5,1,9] ; [2,4,5,1,9] ; [1,2,4,5,9] ; [1,2,4,5,9] |
list_summation | list_summation:pairwise | 9, 9, 3, 7 | 9+9=18 ; 3+7=10 ; 18+10=28 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=27 | 3x+6=27 ; x+2=9 ; x=9-2 ; x=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 0, 1, 3, 5 | [0,8,1,3,5] ; [0,1,8,3,5] ; [0,1,3,8,5] ; [0,1,3,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 771+945 | p100:700+900=1600 ; p10:70+40=110 ; p1:1+5=6 ; sum=1600+110+6=1716 |
base_conversion | base_conversion:repeated-division | n=25,base=16 | DIV:25/16=1,r:9 ; DIV:1/16=0,r:1 ; OUT:19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=-63 | 7x-14=-63 ; x=(-63--14)/7 ; x=-49/7 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=48 | 8x-16=48 ; x=(48--16)/8 ; x=64/8 ; x=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=0 | 3x-15=0 ; x+-5=0 ; x=0--5 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 454+798 | round:460+798=1258 ; adjust:1258-6=1252 ; sum=1252 |
multidigit_addition | multidigit_addition:right-to-left-carry | 831+622 | d2:1+2+0=3→w3,c0 ; d1:3+2+0=5→w5,c0 ; d0:8+6+0=14→w4,c1 ; sum=1453 |
list_summation | list_summation:right-to-left | 6, 4, 8, 2 | 8+2=10 ; 4+10=14 ; 6+14=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 476+892 | d2:6+2+0=8→w8,c0 ; d1:7+9+0=16→w6,c1 ; d0:4+8+1=13→w3,c1 ; sum=1368 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 0, 8, 3 | [1,8,0,6,3] ; [8,1,0,6,3] ; [8,6,0,1,3] ; [3,6,0,1,8] ; [6,3,0,1,8] ; [1,3,0,6,8] ; [3,1,0,6,8] ; [0,1,3,6,8] ; [1,0,3,6,8] ; [0,1,3,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=222,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:6*8^0=6 ; OUT:336 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=45 | 3x+27=45 ; x=(45-27)/3 ; x=18/3 ; x=6 |
base_conversion | base_conversion:decomposition | n=167,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2213 |
base_conversion | base_conversion:decomposition | n=170,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:0*2^0=0 ; OUT:10101010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
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