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 | 9x-36=-99 | 9x-36=-99 ; x=(-99--36)/9 ; x=-63/9 ; x=-7 |
list_summation | list_summation:left-to-right | 2, 1, 5, 5 | 2+1=3 ; 3+5=8 ; 8+5=13 |
base_conversion | base_conversion:decomposition | n=182,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:0*2^0=0 ; OUT:10110110 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(1,4) | D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 9, 4, 8 | [3,8,9,4,7] ; [9,8,3,4,7] ; [7,8,3,4,9] ; [8,7,3,4,9] ; [4,7,3,8,9] ; [7,4,3,8,9] ; [3,4,7,8,9] ; [4,3,7,8,9] ; [3,4,7,8,9] |
list_summation | list_summation:left-to-right | 3, 3, 7, 5 | 3+3=6 ; 6+7=13 ; 13+5=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-20 | 5x-45=-20 ; x+-9=-4 ; x=-4--9 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 431+344 | d2:1+4+0=5→w5,c0 ; d1:3+4+0=7→w7,c0 ; d0:4+3+0=7→w7,c0 ; sum=775 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=-44 | 4x-16=-44 ; 4x=-28 ; x=-7 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 3, 6, 9, 1 | [2,9,6,3,1] ; [9,2,6,3,1] ; [9,3,6,2,1] ; [1,3,6,2,9] ; [6,3,1,2,9] ; [2,3,1,6,9] ; [3,2,1,6,9] ; [1,2,3,6,9] ; [2,1,3,6,9] ; [1,2,3,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=0 | 9x-27=0 ; x+-3=0 ; x=0--3 ; x=3 |
base_conversion | base_conversion:via-binary | n=104,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:0 ; OUT:150 |
multidigit_addition | multidigit_addition:rounding-decomposition | 377+884 | round:380+884=1264 ; adjust:1264-3=1261 ; sum=1261 |
base_conversion | base_conversion:decomposition | n=142,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:2032 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=-36 | 9x+27=-36 ; x=(-36-27)/9 ; x=-63/9 ; x=-7 |
base_conversion | base_conversion:via-binary | n=255,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:15 ; OUT:FF |
list_summation | list_summation:pairwise | 1, 4, 0, 2 | 1+4=5 ; 0+2=2 ; 5+2=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=-16 | 4x-12=-16 ; x=(-16--12)/4 ; x=-4/4 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 216+675 | round:220+675=895 ; adjust:895-4=891 ; sum=891 |
base_conversion | base_conversion:via-binary | n=158,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10011110 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 9, 0, 8 | [3,4,9,0,8] ; [3,4,0,9,8] ; [3,4,0,8,9] ; [3,0,4,8,9] ; [0,3,4,8,9] |
base_conversion | base_conversion:via-binary | n=40,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:220 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=8 | 8x-32=8 ; x+-4=1 ; x=1--4 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=16 | 2x+10=16 ; x+5=8 ; x=8-5 ; x=3 |
list_summation | list_summation:right-to-left | 2, 3, 8, 6 | 8+6=14 ; 3+14=17 ; 2+17=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=9 | 9x+0=9 ; x+0=1 ; x=1-0 ; x=1 |
list_summation | list_summation:left-to-right | 9, 3, 0, 3 | 9+3=12 ; 12+0=12 ; 12+3=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 2, 0, 4 | [1,9,0,2,4] ; [0,1,2,9,4] ; [0,1,2,4,9] |
base_conversion | base_conversion:decomposition | n=226,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:342 |
multidigit_addition | multidigit_addition:right-to-left-carry | 227+697 | d2:7+7+0=14→w4,c1 ; d1:2+9+1=12→w2,c1 ; d0:2+6+1=9→w9,c0 ; sum=924 |
list_summation | list_summation:right-to-left | 5, 2, 3, 0 | 3+0=3 ; 2+3=5 ; 5+5=10 |
base_conversion | base_conversion:via-binary | n=138,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2022 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 0, 9, 2, 5 | [3,5,9,2,0] ; [9,5,3,2,0] ; [0,5,3,2,9] ; [5,0,3,2,9] ; [5,2,3,0,9] ; [0,2,3,5,9] ; [3,2,0,5,9] ; [0,2,3,5,9] ; [2,0,3,5,9] ; [0,2,3,5,9] |
base_conversion | base_conversion:via-binary | n=71,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:7 ; OUT:47 |
base_conversion | base_conversion:decomposition | n=99,base=16 | TERM:6*16^1=96 ; TERM:3*16^0=3 ; OUT:63 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=-66 | 6x-30=-66 ; x=(-66--30)/6 ; x=-36/6 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=4,base=2 | DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,5) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 1, 6, 0, 4 | 1+6=7 ; 0+4=4 ; 7+4=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=30 | 6x+36=30 ; 6x=-6 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 319+889 | d2:9+9+0=18→w8,c1 ; d1:1+8+1=10→w0,c1 ; d0:3+8+1=12→w2,c1 ; sum=1208 |
list_summation | list_summation:right-to-left | 4, 1, 5, 5 | 5+5=10 ; 1+10=11 ; 4+11=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 770+538 | p100:700+500=1200 ; p10:70+30=100 ; p1:0+8=8 ; sum=1200+100+8=1308 |
multidigit_addition | multidigit_addition:right-to-left-carry | 556+547 | d2:6+7+0=13→w3,c1 ; d1:5+4+1=10→w0,c1 ; d0:5+5+1=11→w1,c1 ; sum=1103 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 9, 1, 6 | [3,4,9,1,6] ; [3,4,9,1,6] ; [1,3,4,9,6] ; [1,3,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; R:(1,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=-9 | 3x+15=-9 ; x=(-9-15)/3 ; x=-24/3 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 4, 3, 5 | [6,0,4,3,5] ; [6,5,4,3,0] ; [0,5,4,3,6] ; [5,0,4,3,6] ; [5,3,4,0,6] ; [0,3,4,5,6] ; [4,3,0,5,6] ; [0,3,4,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 714+768 | round:720+768=1488 ; adjust:1488-6=1482 ; sum=1482 |
base_conversion | base_conversion:repeated-division | n=173,base=4 | DIV:173/4=43,r:1 ; DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2231 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=14 | 7x+49=14 ; 7x=-35 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 8, 0, 7 | [1,2,0,8,7] ; [1,2,0,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-80 | 8x-16=-80 ; 8x=-64 ; x=-8 |
base_conversion | base_conversion:via-binary | n=240,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3300 |
multidigit_addition | multidigit_addition:right-to-left-carry | 456+758 | d2:6+8+0=14→w4,c1 ; d1:5+5+1=11→w1,c1 ; d0:4+7+1=12→w2,c1 ; sum=1214 |
multidigit_addition | multidigit_addition:left-to-right-partials | 604+504 | p100:600+500=1100 ; p10:0+0=0 ; p1:4+4=8 ; sum=1100+0+8=1108 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+27=12 | 3x+27=12 ; x=(12-27)/3 ; x=-15/3 ; x=-5 |
base_conversion | base_conversion:via-binary | n=78,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:6 ; OUT:116 |
multidigit_addition | multidigit_addition:left-to-right-partials | 192+941 | p100:100+900=1000 ; p10:90+40=130 ; p1:2+1=3 ; sum=1000+130+3=1133 |
list_summation | list_summation:pairwise | 8, 9, 6, 1 | 8+9=17 ; 6+1=7 ; 17+7=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=25 | 5x-5=25 ; x=(25--5)/5 ; x=30/5 ; x=6 |
list_summation | list_summation:left-to-right | 6, 3, 6, 3 | 6+3=9 ; 9+6=15 ; 15+3=18 |
base_conversion | base_conversion:decomposition | n=85,base=16 | TERM:5*16^1=80 ; TERM:5*16^0=5 ; OUT:55 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-40=-80 | 5x-40=-80 ; 5x=-40 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 227+410 | d2:7+0+0=7→w7,c0 ; d1:2+1+0=3→w3,c0 ; d0:2+4+0=6→w6,c0 ; sum=637 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=0 | 9x-81=0 ; x+-9=0 ; x=0--9 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 838+489 | p100:800+400=1200 ; p10:30+80=110 ; p1:8+9=17 ; sum=1200+110+17=1327 |
multidigit_addition | multidigit_addition:left-to-right-partials | 594+546 | p100:500+500=1000 ; p10:90+40=130 ; p1:4+6=10 ; sum=1000+130+10=1140 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-72=-72 | 9x-72=-72 ; 9x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 8, 6, 4 | [2,7,6,8,4] ; [2,7,6,4,8] ; [2,6,7,4,8] ; [2,6,4,7,8] ; [2,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 195+655 | round:200+655=855 ; adjust:855-5=850 ; sum=850 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 1, 6, 8, 0 | [1,2,6,8,0] ; [0,1,2,6,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 5, 8, 4 | [6,7,5,8,4] ; [6,5,7,8,4] ; [6,5,7,4,8] ; [5,6,7,4,8] ; [5,6,4,7,8] ; [5,4,6,7,8] ; [4,5,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 763+293 | p100:700+200=900 ; p10:60+90=150 ; p1:3+3=6 ; sum=900+150+6=1056 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 3, 0, 1 | [4,6,0,3,1] ; [0,3,4,6,1] ; [0,1,3,4,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=-10 | 5x-15=-10 ; x+-3=-2 ; x=-2--3 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=56 | 4x+36=56 ; 4x=20 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 3, 8, 9, 4 | [2,3,8,9,4] ; [2,3,8,9,4] ; [2,3,8,9,4] ; [2,3,4,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-25=-20 | 5x-25=-20 ; x=(-20--25)/5 ; x=5/5 ; x=1 |
list_summation | list_summation:left-to-right | 5, 9, 0, 5 | 5+9=14 ; 14+0=14 ; 14+5=19 |
base_conversion | base_conversion:repeated-division | n=180,base=16 | DIV:180/16=11,r:4 ; DIV:11/16=0,r:11 ; OUT:B4 |
list_summation | list_summation:right-to-left | 9, 5, 6, 1 | 6+1=7 ; 5+7=12 ; 9+12=21 |
list_summation | list_summation:pairwise | 6, 4, 1, 8 | 6+4=10 ; 1+8=9 ; 10+9=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 0, 4, 2 | [8,9,0,4,2] ; [0,8,9,4,2] ; [0,4,8,9,2] ; [0,2,4,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,4) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) |
list_summation | list_summation:pairwise | 6, 9, 2, 4 | 6+9=15 ; 2+4=6 ; 15+6=21 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 0, 7, 1 | [6,7,0,3,1] ; [7,6,0,3,1] ; [1,6,0,3,7] ; [6,1,0,3,7] ; [6,3,0,1,7] ; [1,3,0,6,7] ; [3,1,0,6,7] ; [0,1,3,6,7] ; [1,0,3,6,7] ; [0,1,3,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=85 | 5x+45=85 ; 5x=40 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
list_summation | list_summation:right-to-left | 4, 3, 4, 6 | 4+6=10 ; 3+10=13 ; 4+13=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=0 | 7x+56=0 ; x=(0-56)/7 ; x=-56/7 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-78 | 6x-54=-78 ; 6x=-24 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
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