task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 9, 0, 2, 7 | 2+7=9 ; 0+9=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 556+549 | round:560+549=1109 ; adjust:1109-4=1105 ; sum=1105 |
base_conversion | base_conversion:decomposition | n=34,base=2 | TERM:1*2^5=32 ; 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:100010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 345+614 | p100:300+600=900 ; p10:40+10=50 ; p1:5+4=9 ; sum=900+50+9=959 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+30=-5 | 5x+30=-5 ; 5x=-35 ; x=-7 |
list_summation | list_summation:left-to-right | 0, 4, 1, 8 | 0+4=4 ; 4+1=5 ; 5+8=13 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 6, 3, 5 | [9,8,6,3,5] ; [5,8,6,3,9] ; [8,5,6,3,9] ; [3,5,6,8,9] ; [6,5,3,8,9] ; [3,5,6,8,9] ; [5,3,6,8,9] ; [3,5,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=6 | 6x+6=6 ; x+1=1 ; x=1-1 ; x=0 |
list_summation | list_summation:left-to-right | 5, 4, 7, 6 | 5+4=9 ; 9+7=16 ; 16+6=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 4, 5, 8 | [6,4,9,5,8] ; [6,4,5,9,8] ; [6,4,5,8,9] ; [4,6,5,8,9] ; [4,5,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 890+929 | p100:800+900=1700 ; p10:90+20=110 ; p1:0+9=9 ; sum=1700+110+9=1819 |
list_summation | list_summation:left-to-right | 2, 2, 7, 7 | 2+2=4 ; 4+7=11 ; 11+7=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=-70 | 7x-7=-70 ; 7x=-63 ; x=-9 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 4, 3, 9, 5 | [2,3,4,9,5] ; [2,3,4,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-24 | 8x-16=-24 ; 8x=-8 ; x=-1 |
base_conversion | base_conversion:via-binary | n=136,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2020 |
multidigit_addition | multidigit_addition:left-to-right-partials | 624+730 | p100:600+700=1300 ; p10:20+30=50 ; p1:4+0=4 ; sum=1300+50+4=1354 |
base_conversion | base_conversion:decomposition | n=203,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:3023 |
multidigit_addition | multidigit_addition:rounding-decomposition | 524+992 | round:530+992=1522 ; adjust:1522-6=1516 ; sum=1516 |
multidigit_addition | multidigit_addition:rounding-decomposition | 240+531 | round:240+531=771 ; adjust:771-0=771 ; sum=771 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=40 | 5x+35=40 ; x=(40-35)/5 ; x=5/5 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 494+808 | d2:4+8+0=12→w2,c1 ; d1:9+0+1=10→w0,c1 ; d0:4+8+1=13→w3,c1 ; sum=1302 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 3, 4, 0, 2 | [3,6,4,0,2] ; [3,6,0,4,2] ; [0,3,4,6,2] ; [0,2,3,4,6] |
list_summation | list_summation:right-to-left | 0, 3, 7, 6 | 7+6=13 ; 3+13=16 ; 0+16=16 |
list_summation | list_summation:left-to-right | 0, 2, 7, 5 | 0+2=2 ; 2+7=9 ; 9+5=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 8, 6, 1 | [7,6,8,2,1] ; [8,6,7,2,1] ; [1,6,7,2,8] ; [7,6,1,2,8] ; [2,6,1,7,8] ; [6,2,1,7,8] ; [1,2,6,7,8] ; [2,1,6,7,8] ; [1,2,6,7,8] |
base_conversion | base_conversion:via-binary | n=84,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
base_conversion | base_conversion:decomposition | n=69,base=16 | TERM:4*16^1=64 ; TERM:5*16^0=5 ; OUT:45 |
base_conversion | base_conversion:decomposition | n=90,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:1011010 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 1, 9, 7 | [3,5,1,9,7] ; [1,3,5,9,7] ; [1,3,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 593+705 | round:600+705=1305 ; adjust:1305-7=1298 ; sum=1298 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 4, 6, 2, 1 | [4,5,6,2,1] ; [4,5,2,6,1] ; [2,4,5,6,1] ; [1,2,4,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-72 | 8x-48=-72 ; x+-6=-9 ; x=-9--6 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=121,base=2 | DIV:121/2=60,r:1 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111001 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=231,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:3213 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+0=-12 | 2x+0=-12 ; x+0=-6 ; x=-6-0 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 0, 1, 3 | [5,7,0,1,3] ; [0,5,7,1,3] ; [0,1,5,7,3] ; [0,1,3,5,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 2, 6, 9 | [1,8,2,6,9] ; [1,2,8,6,9] ; [1,2,6,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 8, 9, 4 | [0,1,8,9,4] ; [0,1,8,4,9] ; [0,1,4,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 865+101 | p100:800+100=900 ; p10:60+0=60 ; p1:5+1=6 ; sum=900+60+6=966 |
multidigit_addition | multidigit_addition:left-to-right-partials | 261+380 | p100:200+300=500 ; p10:60+80=140 ; p1:1+0=1 ; sum=500+140+1=641 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 9, 8, 4 | [1,3,8,9,4] ; [1,3,4,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 6, 1, 8 | [3,4,6,1,8] ; [3,4,6,1,8] ; [1,3,4,6,8] ; [1,3,4,6,8] |
base_conversion | base_conversion:repeated-division | n=144,base=4 | DIV:144/4=36,r:0 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2100 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 6, 9, 1 | [7,8,6,9,1] ; [6,7,8,9,1] ; [1,6,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 629+327 | round:630+327=957 ; adjust:957-1=956 ; sum=956 |
multidigit_addition | multidigit_addition:right-to-left-carry | 553+306 | d2:3+6+0=9→w9,c0 ; d1:5+0+0=5→w5,c0 ; d0:5+3+0=8→w8,c0 ; sum=859 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+16=-16 | 4x+16=-16 ; x=(-16-16)/4 ; x=-32/4 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 0, 3, 5 | [0,7,8,3,5] ; [0,3,8,7,5] ; [0,3,5,7,8] ; [0,3,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=-2 | 2x+0=-2 ; 2x=-2 ; x=-1 |
base_conversion | base_conversion:via-binary | n=170,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10101010 |
list_summation | list_summation:right-to-left | 2, 6, 3, 7 | 3+7=10 ; 6+10=16 ; 2+16=18 |
base_conversion | base_conversion:decomposition | n=69,base=16 | TERM:4*16^1=64 ; TERM:5*16^0=5 ; OUT:45 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=3 | 3x+0=3 ; 3x=3 ; x=1 |
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 |
base_conversion | base_conversion:repeated-division | n=26,base=2 | DIV:26/2=13,r:0 ; 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:11010 |
list_summation | list_summation:right-to-left | 5, 6, 9, 1 | 9+1=10 ; 6+10=16 ; 5+16=21 |
list_summation | list_summation:pairwise | 3, 1, 4, 1 | 3+1=4 ; 4+1=5 ; 4+5=9 |
list_summation | list_summation:right-to-left | 6, 7, 3, 9 | 3+9=12 ; 7+12=19 ; 6+19=25 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) |
list_summation | list_summation:left-to-right | 3, 0, 0, 9 | 3+0=3 ; 3+0=3 ; 3+9=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 9, 8, 5 | [1,4,8,9,5] ; [1,4,8,5,9] ; [1,4,5,8,9] |
base_conversion | base_conversion:decomposition | n=216,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:11011000 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 4, 2, 1, 9 | [1,4,2,5,9] ; [1,2,4,5,9] ; [1,2,4,5,9] ; [1,2,4,5,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 759+768 | round:760+768=1528 ; adjust:1528-1=1527 ; sum=1527 |
base_conversion | base_conversion:repeated-division | n=235,base=2 | DIV:235/2=117,r:1 ; DIV:117/2=58,r:1 ; DIV:58/2=29,r:0 ; DIV:29/2=14,r:1 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11101011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 235+745 | round:240+745=985 ; adjust:985-5=980 ; sum=980 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=-9 | 9x+36=-9 ; x+4=-1 ; x=-1-4 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=54 | 3x+27=54 ; x+9=18 ; x=18-9 ; x=9 |
list_summation | list_summation:pairwise | 1, 6, 9, 7 | 1+6=7 ; 9+7=16 ; 7+16=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 7, 1, 2 | [4,9,7,1,2] ; [4,7,9,1,2] ; [4,7,1,9,2] ; [4,7,1,2,9] ; [4,1,7,2,9] ; [4,1,2,7,9] ; [1,4,2,7,9] ; [1,2,4,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 1, 5, 0 | [0,9,1,5,3] ; [0,1,9,5,3] ; [0,1,3,5,9] ; [0,1,3,5,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 9, 5, 2 | [7,5,9,1,2] ; [9,5,7,1,2] ; [2,5,7,1,9] ; [7,5,2,1,9] ; [1,5,2,7,9] ; [5,1,2,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(2,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) |
list_summation | list_summation:pairwise | 9, 4, 9, 8 | 9+4=13 ; 9+8=17 ; 13+17=30 |
multidigit_addition | multidigit_addition:right-to-left-carry | 304+720 | d2:4+0+0=4→w4,c0 ; d1:0+2+0=2→w2,c0 ; d0:3+7+0=10→w0,c1 ; sum=1024 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=9 | 9x+18=9 ; 9x=-9 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=15 | 5x+10=15 ; 5x=5 ; x=1 |
list_summation | list_summation:right-to-left | 6, 7, 4, 6 | 4+6=10 ; 7+10=17 ; 6+17=23 |
list_summation | list_summation:left-to-right | 1, 0, 6, 3 | 1+0=1 ; 1+6=7 ; 7+3=10 |
list_summation | list_summation:pairwise | 6, 1, 5, 8 | 6+1=7 ; 5+8=13 ; 7+13=20 |
base_conversion | base_conversion:repeated-division | n=6,base=4 | DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-12=-12 | 4x-12=-12 ; x+-3=-3 ; x=-3--3 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=120 | 8x+56=120 ; x+7=15 ; x=15-7 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
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