task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-18=-30 | 3x-18=-30 ; x=(-30--18)/3 ; x=-12/3 ; x=-4 |
base_conversion | base_conversion:decomposition | n=176,base=16 | TERM:11*16^1=176 ; TERM:0*16^0=0 ; OUT:B0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 788+207 | p100:700+200=900 ; p10:80+0=80 ; p1:8+7=15 ; sum=900+80+15=995 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(4,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 0, 3, 0, 9 | 0+3=3 ; 3+0=3 ; 3+9=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-48 | 8x-64=-48 ; 8x=16 ; x=2 |
base_conversion | base_conversion:repeated-division | n=30,base=4 | DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:132 |
list_summation | list_summation:pairwise | 0, 6, 6, 4 | 0+6=6 ; 6+4=10 ; 6+10=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 3, 4, 5 | [0,7,3,4,5] ; [0,3,4,7,5] ; [0,3,4,5,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-70 | 5x-30=-70 ; 5x=-40 ; x=-8 |
base_conversion | base_conversion:decomposition | n=56,base=8 | TERM:7*8^1=56 ; TERM:0*8^0=0 ; OUT:70 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=18 | 3x-6=18 ; x+-2=6 ; x=6--2 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-40=-80 | 8x-40=-80 ; 8x=-40 ; x=-5 |
base_conversion | base_conversion:decomposition | n=78,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:1032 |
multidigit_addition | multidigit_addition:right-to-left-carry | 269+514 | d2:9+4+0=13→w3,c1 ; d1:6+1+1=8→w8,c0 ; d0:2+5+0=7→w7,c0 ; sum=783 |
multidigit_addition | multidigit_addition:right-to-left-carry | 238+166 | d2:8+6+0=14→w4,c1 ; d1:3+6+1=10→w0,c1 ; d0:2+1+1=4→w4,c0 ; sum=404 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 0, 5, 8 | [3,9,0,5,8] ; [3,0,9,5,8] ; [3,0,5,9,8] ; [3,0,5,8,9] ; [0,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=119,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1110111 |
multidigit_addition | multidigit_addition:left-to-right-partials | 543+557 | p100:500+500=1000 ; p10:40+50=90 ; p1:3+7=10 ; sum=1000+90+10=1100 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,2) | D:(3,1) ; R:(3,2) |
list_summation | list_summation:pairwise | 6, 0, 0, 9 | 6+0=6 ; 0+9=9 ; 6+9=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 948+307 | d2:8+7+0=15→w5,c1 ; d1:4+0+1=5→w5,c0 ; d0:9+3+0=12→w2,c1 ; sum=1255 |
multidigit_addition | multidigit_addition:rounding-decomposition | 323+777 | round:330+777=1107 ; adjust:1107-7=1100 ; sum=1100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 723+119 | p100:700+100=800 ; p10:20+10=30 ; p1:3+9=12 ; sum=800+30+12=842 |
multidigit_addition | multidigit_addition:right-to-left-carry | 484+287 | d2:4+7+0=11→w1,c1 ; d1:8+8+1=17→w7,c1 ; d0:4+2+1=7→w7,c0 ; sum=771 |
multidigit_addition | multidigit_addition:rounding-decomposition | 228+512 | round:230+512=742 ; adjust:742-2=740 ; sum=740 |
list_summation | list_summation:pairwise | 8, 9, 6, 3 | 8+9=17 ; 6+3=9 ; 17+9=26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 960+712 | round:960+712=1672 ; adjust:1672-0=1672 ; sum=1672 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-8=-12 | 4x-8=-12 ; x+-2=-3 ; x=-3--2 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
list_summation | list_summation:left-to-right | 9, 6, 5, 5 | 9+6=15 ; 15+5=20 ; 20+5=25 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 350+248 | round:350+248=598 ; adjust:598-0=598 ; sum=598 |
multidigit_addition | multidigit_addition:right-to-left-carry | 566+311 | d2:6+1+0=7→w7,c0 ; d1:6+1+0=7→w7,c0 ; d0:5+3+0=8→w8,c0 ; sum=877 |
base_conversion | base_conversion:decomposition | n=172,base=16 | TERM:10*16^1=160 ; TERM:12*16^0=12 ; OUT:AC |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=18 | 2x+2=18 ; 2x=16 ; x=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 449+386 | p100:400+300=700 ; p10:40+80=120 ; p1:9+6=15 ; sum=700+120+15=835 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=18 | 9x+36=18 ; x+4=2 ; x=2-4 ; x=-2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 8, 4, 5 | [2,6,8,4,5] ; [2,6,4,8,5] ; [2,6,4,5,8] ; [2,4,6,5,8] ; [2,4,5,6,8] |
base_conversion | base_conversion:decomposition | n=116,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:1310 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=16 | 2x+10=16 ; x+5=8 ; x=8-5 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 8, 6, 7 | [2,7,8,6,5] ; [8,7,2,6,5] ; [5,7,2,6,8] ; [7,5,2,6,8] ; [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] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(1,3) | R:(0,2) ; D:(1,2) ; R:(1,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 640+130 | d2:0+0+0=0→w0,c0 ; d1:4+3+0=7→w7,c0 ; d0:6+1+0=7→w7,c0 ; sum=770 |
list_summation | list_summation:right-to-left | 9, 2, 6, 6 | 6+6=12 ; 2+12=14 ; 9+14=23 |
base_conversion | base_conversion:repeated-division | n=149,base=4 | DIV:149/4=37,r:1 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2111 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(2,4) | R:(1,3) ; R:(1,4) ; D:(2,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,5) | D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:pairwise | 8, 1, 9, 1 | 8+1=9 ; 9+1=10 ; 9+10=19 |
list_summation | list_summation:left-to-right | 1, 4, 1, 2 | 1+4=5 ; 5+1=6 ; 6+2=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:left-to-right | 5, 9, 4, 1 | 5+9=14 ; 14+4=18 ; 18+1=19 |
list_summation | list_summation:left-to-right | 5, 9, 0, 7 | 5+9=14 ; 14+0=14 ; 14+7=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-8=28 | 4x-8=28 ; x+-2=7 ; x=7--2 ; x=9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 4, 3, 7 | [1,8,4,3,7] ; [1,4,8,3,7] ; [1,3,4,8,7] ; [1,3,4,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 128+897 | d2:8+7+0=15→w5,c1 ; d1:2+9+1=12→w2,c1 ; d0:1+8+1=10→w0,c1 ; sum=1025 |
base_conversion | base_conversion:decomposition | n=71,base=16 | TERM:4*16^1=64 ; TERM:7*16^0=7 ; OUT:47 |
list_summation | list_summation:pairwise | 9, 3, 3, 0 | 9+3=12 ; 3+0=3 ; 12+3=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=45 | 5x+40=45 ; x=(45-40)/5 ; x=5/5 ; x=1 |
list_summation | list_summation:right-to-left | 7, 6, 3, 5 | 3+5=8 ; 6+8=14 ; 7+14=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 986+160 | round:990+160=1150 ; adjust:1150-4=1146 ; sum=1146 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=-9 | 9x-27=-9 ; x=(-9--27)/9 ; x=18/9 ; x=2 |
list_summation | list_summation:left-to-right | 7, 7, 2, 5 | 7+7=14 ; 14+2=16 ; 16+5=21 |
base_conversion | base_conversion:repeated-division | n=61,base=4 | DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:331 |
multidigit_addition | multidigit_addition:right-to-left-carry | 173+378 | d2:3+8+0=11→w1,c1 ; d1:7+7+1=15→w5,c1 ; d0:1+3+1=5→w5,c0 ; sum=551 |
multidigit_addition | multidigit_addition:left-to-right-partials | 258+425 | p100:200+400=600 ; p10:50+20=70 ; p1:8+5=13 ; sum=600+70+13=683 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+12=-15 | 3x+12=-15 ; x+4=-5 ; x=-5-4 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 289+102 | round:290+102=392 ; adjust:392-1=391 ; sum=391 |
list_summation | list_summation:pairwise | 6, 5, 6, 5 | 6+5=11 ; 6+5=11 ; 11+11=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 5, 6, 9 | [1,4,5,6,9] |
list_summation | list_summation:right-to-left | 7, 7, 4, 4 | 4+4=8 ; 7+8=15 ; 7+15=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-26 | 2x-16=-26 ; x=(-26--16)/2 ; x=-10/2 ; x=-5 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=24 | 6x-12=24 ; x=(24--12)/6 ; x=36/6 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-63=-72 | 9x-63=-72 ; 9x=-9 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 3, 8, 7 | [4,3,5,8,7] ; [4,3,5,7,8] ; [3,4,5,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 7, 3 | [6,9,4,7,3] ; [4,6,9,7,3] ; [4,6,7,9,3] ; [3,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=188,base=16 | TERM:11*16^1=176 ; TERM:12*16^0=12 ; OUT:BC |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=8 | 8x-8=8 ; x=(8--8)/8 ; x=16/8 ; x=2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=18 | 2x+2=18 ; x+1=9 ; x=9-1 ; x=8 |
list_summation | list_summation:left-to-right | 9, 7, 1, 4 | 9+7=16 ; 16+1=17 ; 17+4=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 155+683 | p100:100+600=700 ; p10:50+80=130 ; p1:5+3=8 ; sum=700+130+8=838 |
multidigit_addition | multidigit_addition:right-to-left-carry | 704+860 | d2:4+0+0=4→w4,c0 ; d1:0+6+0=6→w6,c0 ; d0:7+8+0=15→w5,c1 ; sum=1564 |
base_conversion | base_conversion:repeated-division | n=198,base=8 | DIV:198/8=24,r:6 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:306 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 5, 0, 1 | [0,2,5,4,1] ; [0,1,5,4,2] ; [0,1,2,4,5] ; [0,1,2,4,5] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+63=0 | 9x+63=0 ; x+7=0 ; x=0-7 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 4, 1, 9 | [3,8,1,4,9] ; [1,3,4,8,9] |
base_conversion | base_conversion:via-binary | n=117,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:1311 |
base_conversion | base_conversion:via-binary | n=207,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:15 ; OUT:CF |
base_conversion | base_conversion:repeated-division | n=239,base=4 | DIV:239/4=59,r:3 ; DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3233 |
multidigit_addition | multidigit_addition:left-to-right-partials | 518+426 | p100:500+400=900 ; p10:10+20=30 ; p1:8+6=14 ; sum=900+30+14=944 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-4 | 2x-10=-4 ; x=(-4--10)/2 ; x=6/2 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=-18 | 9x-18=-18 ; x=(-18--18)/9 ; x=0/9 ; x=0 |
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