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=40,base=16 | TERM:2*16^1=32 ; TERM:8*16^0=8 ; OUT:28 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=55 | 5x+45=55 ; x+9=11 ; x=11-9 ; x=2 |
base_conversion | base_conversion:decomposition | n=232,base=16 | TERM:14*16^1=224 ; TERM:8*16^0=8 ; OUT:E8 |
base_conversion | base_conversion:decomposition | n=107,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:3*8^0=3 ; OUT:153 |
list_summation | list_summation:pairwise | 8, 7, 3, 4 | 8+7=15 ; 3+4=7 ; 15+7=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 294+374 | round:300+374=674 ; adjust:674-6=668 ; sum=668 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-135 | 9x-63=-135 ; x+-7=-15 ; x=-15--7 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 3, 1, 8 | [7,9,3,1,8] ; [3,7,9,1,8] ; [1,3,7,9,8] ; [1,3,7,8,9] |
list_summation | list_summation:left-to-right | 9, 9, 4, 7 | 9+9=18 ; 18+4=22 ; 22+7=29 |
multidigit_addition | multidigit_addition:right-to-left-carry | 288+137 | d2:8+7+0=15→w5,c1 ; d1:8+3+1=12→w2,c1 ; d0:2+1+1=4→w4,c0 ; sum=425 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 3, 2, 1, 0 | [3,8,2,1,0] ; [2,3,8,1,0] ; [1,2,3,8,0] ; [0,1,2,3,8] |
list_summation | list_summation:left-to-right | 5, 0, 4, 3 | 5+0=5 ; 5+4=9 ; 9+3=12 |
base_conversion | base_conversion:via-binary | n=43,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:3 ; OUT:53 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(3,4) | D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=16 | 8x+72=16 ; x=(16-72)/8 ; x=-56/8 ; x=-7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 828+896 | round:830+896=1726 ; adjust:1726-2=1724 ; sum=1724 |
list_summation | list_summation:left-to-right | 4, 1, 1, 0 | 4+1=5 ; 5+1=6 ; 6+0=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=65 | 5x+45=65 ; x+9=13 ; x=13-9 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 435+954 | round:440+954=1394 ; adjust:1394-5=1389 ; sum=1389 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 4, 9, 8 | [6,7,4,9,8] ; [4,6,7,9,8] ; [4,6,7,9,8] ; [4,6,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=-9 | 9x-27=-9 ; x+-3=-1 ; x=-1--3 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 451+520 | p100:400+500=900 ; p10:50+20=70 ; p1:1+0=1 ; sum=900+70+1=971 |
multidigit_addition | multidigit_addition:left-to-right-partials | 844+487 | p100:800+400=1200 ; p10:40+80=120 ; p1:4+7=11 ; sum=1200+120+11=1331 |
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 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 3, 9, 5 | [1,8,3,9,5] ; [1,3,8,9,5] ; [1,3,8,5,9] ; [1,3,5,8,9] |
base_conversion | base_conversion:via-binary | n=118,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:166 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 2, 9, 6, 8 | [0,2,9,6,8] ; [0,2,9,6,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-7=21 | 7x-7=21 ; x=(21--7)/7 ; x=28/7 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 355+777 | d2:5+7+0=12→w2,c1 ; d1:5+7+1=13→w3,c1 ; d0:3+7+1=11→w1,c1 ; sum=1132 |
base_conversion | base_conversion:via-binary | n=27,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:11011 |
list_summation | list_summation:right-to-left | 7, 6, 1, 0 | 1+0=1 ; 6+1=7 ; 7+7=14 |
list_summation | list_summation:pairwise | 2, 7, 8, 3 | 2+7=9 ; 8+3=11 ; 9+11=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 288+647 | round:290+647=937 ; adjust:937-2=935 ; sum=935 |
multidigit_addition | multidigit_addition:left-to-right-partials | 119+223 | p100:100+200=300 ; p10:10+20=30 ; p1:9+3=12 ; sum=300+30+12=342 |
base_conversion | base_conversion:decomposition | n=235,base=16 | TERM:14*16^1=224 ; TERM:11*16^0=11 ; OUT:EB |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,4) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
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:subtract-then-divide | 5x+0=45 | 5x+0=45 ; 5x=45 ; x=9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 1, 9, 8, 3 | [1,5,9,8,3] ; [1,5,8,9,3] ; [1,5,8,3,9] ; [1,5,3,8,9] ; [1,3,5,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+0=63 | 7x+0=63 ; x+0=9 ; x=9-0 ; x=9 |
base_conversion | base_conversion:via-binary | n=237,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11101101 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 6, 8, 7 | [2,4,6,8,7] ; [2,4,6,8,7] ; [2,4,6,8,7] ; [2,4,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-45 | 5x-35=-45 ; x=(-45--35)/5 ; x=-10/5 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+27=39 | 3x+27=39 ; 3x=12 ; x=4 |
base_conversion | base_conversion:via-binary | n=113,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:1 ; OUT:71 |
base_conversion | base_conversion:via-binary | n=70,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1000110 |
list_summation | list_summation:left-to-right | 5, 4, 0, 6 | 5+4=9 ; 9+0=9 ; 9+6=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=7 | 7x+0=7 ; x=(7-0)/7 ; x=7/7 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 604+696 | p100:600+600=1200 ; p10:0+90=90 ; p1:4+6=10 ; sum=1200+90+10=1300 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 8, 9, 3 | [1,7,8,3,9] ; [1,7,3,8,9] ; [1,3,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=-8 | 4x-36=-8 ; x+-9=-2 ; x=-2--9 ; x=7 |
list_summation | list_summation:left-to-right | 9, 7, 8, 2 | 9+7=16 ; 16+8=24 ; 24+2=26 |
multidigit_addition | multidigit_addition:left-to-right-partials | 627+473 | p100:600+400=1000 ; p10:20+70=90 ; p1:7+3=10 ; sum=1000+90+10=1100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) |
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=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 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 6, 9, 1 | [4,6,8,9,1] ; [1,4,6,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-40=8 | 8x-40=8 ; x+-5=1 ; x=1--5 ; x=6 |
list_summation | list_summation:pairwise | 0, 6, 4, 7 | 0+6=6 ; 4+7=11 ; 6+11=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,3) | D:(1,2) ; R:(1,3) |
list_summation | list_summation:right-to-left | 7, 7, 6, 4 | 6+4=10 ; 7+10=17 ; 7+17=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 115+912 | p100:100+900=1000 ; p10:10+10=20 ; p1:5+2=7 ; sum=1000+20+7=1027 |
list_summation | list_summation:pairwise | 6, 5, 1, 8 | 6+5=11 ; 1+8=9 ; 11+9=20 |
list_summation | list_summation:left-to-right | 2, 3, 4, 0 | 2+3=5 ; 5+4=9 ; 9+0=9 |
base_conversion | base_conversion:repeated-division | n=51,base=2 | DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; 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:110011 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 7, 0, 3, 4 | 7+0=7 ; 7+3=10 ; 10+4=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; R:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 7, 7, 4, 3 | 4+3=7 ; 7+7=14 ; 7+14=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 674+163 | d2:4+3+0=7→w7,c0 ; d1:7+6+0=13→w3,c1 ; d0:6+1+1=8→w8,c0 ; sum=837 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=136 | 8x+64=136 ; 8x=72 ; x=9 |
list_summation | list_summation:left-to-right | 5, 5, 6, 8 | 5+5=10 ; 10+6=16 ; 16+8=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 462+330 | p100:400+300=700 ; p10:60+30=90 ; p1:2+0=2 ; sum=700+90+2=792 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 3, 9, 6, 3 | 3+9=12 ; 6+3=9 ; 12+9=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 410+638 | round:410+638=1048 ; adjust:1048-0=1048 ; sum=1048 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-12=-18 | 3x-12=-18 ; 3x=-6 ; x=-2 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 0, 6, 2 | [1,9,0,6,2] ; [0,1,6,9,2] ; [0,1,2,6,9] |
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=94,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:6 ; OUT:136 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=2 | 2x-8=2 ; 2x=10 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 710+525 | p100:700+500=1200 ; p10:10+20=30 ; p1:0+5=5 ; sum=1200+30+5=1235 |
list_summation | list_summation:right-to-left | 8, 9, 8, 1 | 8+1=9 ; 9+9=18 ; 8+18=26 |
base_conversion | base_conversion:decomposition | n=165,base=16 | TERM:10*16^1=160 ; TERM:5*16^0=5 ; OUT:A5 |
list_summation | list_summation:left-to-right | 0, 2, 3, 7 | 0+2=2 ; 2+3=5 ; 5+7=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 854+139 | round:860+139=999 ; adjust:999-6=993 ; sum=993 |
base_conversion | base_conversion:repeated-division | n=9,base=8 | DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:11 |
base_conversion | base_conversion:repeated-division | n=14,base=16 | DIV:14/16=0,r:14 ; OUT:E |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 5, 4, 2, 0 | [3,5,4,2,0] ; [3,4,5,2,0] ; [2,3,4,5,0] ; [0,2,3,4,5] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:left-to-right | 3, 8, 1, 5 | 3+8=11 ; 11+1=12 ; 12+5=17 |
base_conversion | base_conversion:decomposition | n=21,base=8 | TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:25 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:via-binary | n=183,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:7 ; OUT:267 |
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