task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 2, 4, 0 | [2,4,5,9,0] ; [0,2,4,5,9] |
list_summation | list_summation:pairwise | 4, 0, 2, 3 | 4+0=4 ; 2+3=5 ; 4+5=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-56=-104 | 8x-56=-104 ; x+-7=-13 ; x=-13--7 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=108,base=2 | DIV:108/2=54,r:0 ; DIV:54/2=27,r:0 ; DIV:27/2=13,r:1 ; 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:1101100 |
multidigit_addition | multidigit_addition:rounding-decomposition | 935+582 | round:940+582=1522 ; adjust:1522-5=1517 ; sum=1517 |
base_conversion | base_conversion:via-binary | n=108,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:4 ; OUT:154 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,5) | R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=9 | 9x+0=9 ; x=(9-0)/9 ; x=9/9 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 9, 0, 5 | [0,8,9,3,5] ; [0,3,9,8,5] ; [0,3,5,8,9] ; [0,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=132,base=16 | TERM:8*16^1=128 ; TERM:4*16^0=4 ; OUT:84 |
base_conversion | base_conversion:via-binary | n=223,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:7 ; OUT:337 |
multidigit_addition | multidigit_addition:right-to-left-carry | 310+163 | d2:0+3+0=3→w3,c0 ; d1:1+6+0=7→w7,c0 ; d0:3+1+0=4→w4,c0 ; sum=473 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 4, 7, 6, 8 | [1,4,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-49 | 7x-49=-49 ; 7x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 673+372 | p100:600+300=900 ; p10:70+70=140 ; p1:3+2=5 ; sum=900+140+5=1045 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=54 | 9x+9=54 ; 9x=45 ; x=5 |
list_summation | list_summation:left-to-right | 7, 8, 3, 0 | 7+8=15 ; 15+3=18 ; 18+0=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=15 | 5x+10=15 ; x=(15-10)/5 ; x=5/5 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=42 | 7x-7=42 ; x+-1=6 ; x=6--1 ; x=7 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 1, 4, 8 | [0,1,4,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 2, 6, 4 | [8,1,2,6,4] ; [8,6,2,1,4] ; [4,6,2,1,8] ; [6,4,2,1,8] ; [1,4,2,6,8] ; [4,1,2,6,8] ; [2,1,4,6,8] ; [1,2,4,6,8] |
list_summation | list_summation:pairwise | 5, 1, 6, 8 | 5+1=6 ; 6+8=14 ; 6+14=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 0, 8, 1, 3 | [0,7,8,1,3] ; [0,7,8,1,3] ; [0,1,7,8,3] ; [0,1,3,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-20=-65 | 5x-20=-65 ; x=(-65--20)/5 ; x=-45/5 ; x=-9 |
list_summation | list_summation:pairwise | 9, 8, 5, 0 | 9+8=17 ; 5+0=5 ; 17+5=22 |
base_conversion | base_conversion:decomposition | n=128,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:0*8^0=0 ; OUT:200 |
base_conversion | base_conversion:repeated-division | n=31,base=16 | DIV:31/16=1,r:15 ; DIV:1/16=0,r:1 ; OUT:1F |
multidigit_addition | multidigit_addition:left-to-right-partials | 281+331 | p100:200+300=500 ; p10:80+30=110 ; p1:1+1=2 ; sum=500+110+2=612 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(1,4) | D:(1,3) ; R:(1,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(2,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,4) | D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=-18 | 9x+0=-18 ; 9x=-18 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 661+639 | d2:1+9+0=10→w0,c1 ; d1:6+3+1=10→w0,c1 ; d0:6+6+1=13→w3,c1 ; sum=1300 |
base_conversion | base_conversion:decomposition | n=225,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:3201 |
base_conversion | base_conversion:repeated-division | n=129,base=8 | DIV:129/8=16,r:1 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:201 |
multidigit_addition | multidigit_addition:left-to-right-partials | 165+251 | p100:100+200=300 ; p10:60+50=110 ; p1:5+1=6 ; sum=300+110+6=416 |
multidigit_addition | multidigit_addition:right-to-left-carry | 648+465 | d2:8+5+0=13→w3,c1 ; d1:4+6+1=11→w1,c1 ; d0:6+4+1=11→w1,c1 ; sum=1113 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 9, 8, 2 | [2,6,9,8,5] ; [2,5,9,8,6] ; [2,5,6,8,9] ; [2,5,6,8,9] |
list_summation | list_summation:right-to-left | 1, 9, 3, 2 | 3+2=5 ; 9+5=14 ; 1+14=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
list_summation | list_summation:pairwise | 1, 4, 5, 3 | 1+4=5 ; 5+3=8 ; 5+8=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 7, 3, 8 | [4,5,3,7,8] ; [3,4,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=21 | 7x+7=21 ; 7x=14 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-96 | 8x-24=-96 ; x=(-96--24)/8 ; x=-72/8 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 441+133 | round:450+133=583 ; adjust:583-9=574 ; sum=574 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+18=36 | 3x+18=36 ; x+6=12 ; x=12-6 ; x=6 |
list_summation | list_summation:left-to-right | 2, 2, 4, 1 | 2+2=4 ; 4+4=8 ; 8+1=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+20=0 | 4x+20=0 ; x=(0-20)/4 ; x=-20/4 ; x=-5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+3=-24 | 3x+3=-24 ; 3x=-27 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 740+389 | d2:0+9+0=9→w9,c0 ; d1:4+8+0=12→w2,c1 ; d0:7+3+1=11→w1,c1 ; sum=1129 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
list_summation | list_summation:left-to-right | 9, 8, 1, 4 | 9+8=17 ; 17+1=18 ; 18+4=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 449+510 | d2:9+0+0=9→w9,c0 ; d1:4+1+0=5→w5,c0 ; d0:4+5+0=9→w9,c0 ; sum=959 |
list_summation | list_summation:pairwise | 5, 2, 1, 5 | 5+2=7 ; 1+5=6 ; 7+6=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 987+553 | round:990+553=1543 ; adjust:1543-3=1540 ; sum=1540 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,4) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 657+605 | d2:7+5+0=12→w2,c1 ; d1:5+0+1=6→w6,c0 ; d0:6+6+0=12→w2,c1 ; sum=1262 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-6=-24 | 3x-6=-24 ; 3x=-18 ; x=-6 |
list_summation | list_summation:left-to-right | 7, 0, 4, 8 | 7+0=7 ; 7+4=11 ; 11+8=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-5=-30 | 5x-5=-30 ; 5x=-25 ; x=-5 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 8, 3, 5 | [3,7,8,4,5] ; [3,4,8,7,5] ; [3,4,5,7,8] ; [3,4,5,7,8] |
base_conversion | base_conversion:via-binary | n=103,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:7 ; OUT:147 |
multidigit_addition | multidigit_addition:left-to-right-partials | 356+535 | p100:300+500=800 ; p10:50+30=80 ; p1:6+5=11 ; sum=800+80+11=891 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=33 | 3x+27=33 ; x+9=11 ; x=11-9 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 986+388 | d2:6+8+0=14→w4,c1 ; d1:8+8+1=17→w7,c1 ; d0:9+3+1=13→w3,c1 ; sum=1374 |
base_conversion | base_conversion:repeated-division | n=223,base=2 | DIV:223/2=111,r:1 ; DIV:111/2=55,r:1 ; DIV:55/2=27,r:1 ; DIV:27/2=13,r:1 ; 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:11011111 |
base_conversion | base_conversion:repeated-division | n=219,base=16 | DIV:219/16=13,r:11 ; DIV:13/16=0,r:13 ; OUT:DB |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-63 | 9x-63=-63 ; x+-7=-7 ; x=-7--7 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=-72 | 6x-18=-72 ; x=(-72--18)/6 ; x=-54/6 ; x=-9 |
base_conversion | base_conversion:decomposition | n=235,base=16 | TERM:14*16^1=224 ; TERM:11*16^0=11 ; OUT:EB |
base_conversion | base_conversion:via-binary | n=28,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:4 ; OUT:34 |
list_summation | list_summation:pairwise | 7, 5, 3, 8 | 7+5=12 ; 3+8=11 ; 12+11=23 |
base_conversion | base_conversion:via-binary | n=237,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:5 ; OUT:355 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=-15 | 3x+0=-15 ; 3x=-15 ; x=-5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 3, 1, 8 | [5,9,3,1,8] ; [3,5,9,1,8] ; [1,3,5,9,8] ; [1,3,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=-14 | 2x+2=-14 ; 2x=-16 ; x=-8 |
list_summation | list_summation:pairwise | 3, 8, 5, 2 | 3+8=11 ; 5+2=7 ; 11+7=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 0, 2, 3, 2 | 3+2=5 ; 2+5=7 ; 0+7=7 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 5, 0, 1 | [0,9,5,2,1] ; [0,1,5,2,9] ; [0,1,2,5,9] ; [0,1,2,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 121+782 | d2:1+2+0=3→w3,c0 ; d1:2+8+0=10→w0,c1 ; d0:1+7+1=9→w9,c0 ; sum=903 |
list_summation | list_summation:pairwise | 4, 1, 7, 8 | 4+1=5 ; 7+8=15 ; 5+15=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 307+244 | d2:7+4+0=11→w1,c1 ; d1:0+4+1=5→w5,c0 ; d0:3+2+0=5→w5,c0 ; sum=551 |
multidigit_addition | multidigit_addition:left-to-right-partials | 766+220 | p100:700+200=900 ; p10:60+20=80 ; p1:6+0=6 ; sum=900+80+6=986 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 8, 7, 4 | [0,6,8,7,4] ; [0,4,8,7,6] ; [0,4,6,7,8] ; [0,4,6,7,8] |
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 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=54 | 6x+30=54 ; x+5=9 ; x=9-5 ; x=4 |
base_conversion | base_conversion:via-binary | n=49,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:1 ; OUT:61 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 792+914 | p100:700+900=1600 ; p10:90+10=100 ; p1:2+4=6 ; sum=1600+100+6=1706 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-72=0 | 9x-72=0 ; 9x=72 ; x=8 |
list_summation | list_summation:left-to-right | 5, 8, 5, 6 | 5+8=13 ; 13+5=18 ; 18+6=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=-18 | 6x+30=-18 ; x+5=-3 ; x=-3-5 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 4, 5, 3 | [6,8,4,5,3] ; [6,4,8,5,3] ; [6,4,5,8,3] ; [6,4,5,3,8] ; [4,6,5,3,8] ; [4,5,6,3,8] ; [4,5,3,6,8] ; [4,3,5,6,8] ; [3,4,5,6,8] |
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