task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-63=-42 | 7x-63=-42 ; x=(-42--63)/7 ; x=21/7 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 485+658 | p100:400+600=1000 ; p10:80+50=130 ; p1:5+8=13 ; sum=1000+130+13=1143 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 8, 9, 6 | [1,6,7,8,9] |
base_conversion | base_conversion:via-binary | n=213,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:5 ; OUT:325 |
list_summation | list_summation:left-to-right | 0, 3, 8, 3 | 0+3=3 ; 3+8=11 ; 11+3=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 659+405 | round:660+405=1065 ; adjust:1065-1=1064 ; sum=1064 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 7, 4, 8 | [0,5,7,4,8] ; [0,5,7,4,8] ; [0,4,5,7,8] ; [0,4,5,7,8] |
base_conversion | base_conversion:repeated-division | n=188,base=16 | DIV:188/16=11,r:12 ; DIV:11/16=0,r:11 ; OUT:BC |
multidigit_addition | multidigit_addition:left-to-right-partials | 524+710 | p100:500+700=1200 ; p10:20+10=30 ; p1:4+0=4 ; sum=1200+30+4=1234 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 0, 7, 6 | [2,0,9,7,6] ; [2,0,7,9,6] ; [2,0,7,6,9] ; [0,2,7,6,9] ; [0,2,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 890+834 | p100:800+800=1600 ; p10:90+30=120 ; p1:0+4=4 ; sum=1600+120+4=1724 |
list_summation | list_summation:pairwise | 0, 4, 4, 3 | 0+4=4 ; 4+3=7 ; 4+7=11 |
list_summation | list_summation:pairwise | 7, 4, 0, 8 | 7+4=11 ; 0+8=8 ; 11+8=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 3, 4, 2 | [0,3,4,7,2] ; [0,2,3,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=84 | 6x+54=84 ; x+9=14 ; x=14-9 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=-49 | 7x+0=-49 ; x=(-49-0)/7 ; x=-49/7 ; x=-7 |
list_summation | list_summation:pairwise | 8, 0, 1, 1 | 8+0=8 ; 1+1=2 ; 8+2=10 |
base_conversion | base_conversion:repeated-division | n=94,base=8 | DIV:94/8=11,r:6 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:136 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 5, 3, 2 | [7,9,5,3,2] ; [5,7,9,3,2] ; [3,5,7,9,2] ; [2,3,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-24=-56 | 4x-24=-56 ; x=(-56--24)/4 ; x=-32/4 ; x=-8 |
list_summation | list_summation:right-to-left | 7, 5, 4, 6 | 4+6=10 ; 5+10=15 ; 7+15=22 |
list_summation | list_summation:pairwise | 8, 8, 0, 4 | 8+8=16 ; 0+4=4 ; 16+4=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,4) | D:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 4, 2, 7, 6 | [4,9,2,7,6] ; [2,4,9,7,6] ; [2,4,7,9,6] ; [2,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=106,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:2*8^0=2 ; OUT:152 |
list_summation | list_summation:left-to-right | 0, 2, 5, 9 | 0+2=2 ; 2+5=7 ; 7+9=16 |
base_conversion | base_conversion:via-binary | n=197,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:5 ; OUT:305 |
base_conversion | base_conversion:repeated-division | n=241,base=16 | DIV:241/16=15,r:1 ; DIV:15/16=0,r:15 ; OUT:F1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 1, 3, 9, 5 | [0,1,3,9,5] ; [0,1,3,9,5] ; [0,1,3,9,5] ; [0,1,3,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-54 | 9x-81=-54 ; x+-9=-6 ; x=-6--9 ; x=3 |
list_summation | list_summation:left-to-right | 9, 1, 6, 8 | 9+1=10 ; 10+6=16 ; 16+8=24 |
base_conversion | base_conversion:decomposition | n=57,base=8 | TERM:7*8^1=56 ; TERM:1*8^0=1 ; OUT:71 |
multidigit_addition | multidigit_addition:rounding-decomposition | 854+151 | round:860+151=1011 ; adjust:1011-6=1005 ; sum=1005 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 4, 5, 9 | [1,7,4,5,9] ; [1,4,7,5,9] ; [1,4,5,7,9] |
base_conversion | base_conversion:repeated-division | n=174,base=2 | DIV:174/2=87,r:0 ; DIV:87/2=43,r:1 ; DIV:43/2=21,r:1 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10101110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=0 | 7x+21=0 ; x=(0-21)/7 ; x=-21/7 ; x=-3 |
list_summation | list_summation:pairwise | 8, 4, 0, 2 | 8+4=12 ; 0+2=2 ; 12+2=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 238+875 | p100:200+800=1000 ; p10:30+70=100 ; p1:8+5=13 ; sum=1000+100+13=1113 |
list_summation | list_summation:left-to-right | 0, 9, 6, 2 | 0+9=9 ; 9+6=15 ; 15+2=17 |
list_summation | list_summation:left-to-right | 0, 9, 3, 4 | 0+9=9 ; 9+3=12 ; 12+4=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 227+101 | p100:200+100=300 ; p10:20+0=20 ; p1:7+1=8 ; sum=300+20+8=328 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 628+519 | d2:8+9+0=17→w7,c1 ; d1:2+1+1=4→w4,c0 ; d0:6+5+0=11→w1,c1 ; sum=1147 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=9 | 9x-45=9 ; x=(9--45)/9 ; x=54/9 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 4, 7, 6, 2 | [2,4,7,6,3] ; [2,3,7,6,4] ; [2,3,4,6,7] ; [2,3,4,6,7] |
base_conversion | base_conversion:decomposition | n=115,base=16 | TERM:7*16^1=112 ; TERM:3*16^0=3 ; OUT:73 |
list_summation | list_summation:pairwise | 5, 0, 6, 8 | 5+0=5 ; 6+8=14 ; 5+14=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 7, 4, 3, 5 | [5,7,4,3,8] ; [7,5,4,3,8] ; [3,5,4,7,8] ; [5,3,4,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8] |
base_conversion | base_conversion:via-binary | n=174,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10101110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 630+842 | p100:600+800=1400 ; p10:30+40=70 ; p1:0+2=2 ; sum=1400+70+2=1472 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-10 | 5x-35=-10 ; x+-7=-2 ; x=-2--7 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 330+282 | p100:300+200=500 ; p10:30+80=110 ; p1:0+2=2 ; sum=500+110+2=612 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+0=-48 | 6x+0=-48 ; x=(-48-0)/6 ; x=-48/6 ; x=-8 |
list_summation | list_summation:right-to-left | 1, 9, 2, 4 | 2+4=6 ; 9+6=15 ; 1+15=16 |
list_summation | list_summation:left-to-right | 1, 5, 9, 6 | 1+5=6 ; 6+9=15 ; 15+6=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 8, 4, 0, 2 | 8+4=12 ; 0+2=2 ; 12+2=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 8, 9, 6 | [1,7,8,9,6] ; [1,7,8,9,6] ; [1,7,8,9,6] ; [1,6,7,8,9] |
base_conversion | base_conversion:decomposition | n=47,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:101111 |
base_conversion | base_conversion:repeated-division | n=183,base=16 | DIV:183/16=11,r:7 ; DIV:11/16=0,r:11 ; OUT:B7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=2 | 2x+2=2 ; 2x=0 ; x=0 |
list_summation | list_summation:right-to-left | 4, 0, 4, 1 | 4+1=5 ; 0+5=5 ; 4+5=9 |
base_conversion | base_conversion:repeated-division | n=166,base=4 | DIV:166/4=41,r:2 ; DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2212 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-6 | 3x-27=-6 ; x=(-6--27)/3 ; x=21/3 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+36=45 | 9x+36=45 ; 9x=9 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 4, 9, 2 | [4,5,8,9,2] ; [2,4,5,8,9] |
base_conversion | base_conversion:via-binary | n=146,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:222 |
multidigit_addition | multidigit_addition:left-to-right-partials | 250+399 | p100:200+300=500 ; p10:50+90=140 ; p1:0+9=9 ; sum=500+140+9=649 |
base_conversion | base_conversion:repeated-division | n=242,base=4 | DIV:242/4=60,r:2 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3302 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=90 | 9x+54=90 ; 9x=36 ; x=4 |
base_conversion | base_conversion:repeated-division | n=253,base=4 | DIV:253/4=63,r:1 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3331 |
multidigit_addition | multidigit_addition:right-to-left-carry | 105+632 | d2:5+2+0=7→w7,c0 ; d1:0+3+0=3→w3,c0 ; d0:1+6+0=7→w7,c0 ; sum=737 |
multidigit_addition | multidigit_addition:right-to-left-carry | 868+101 | d2:8+1+0=9→w9,c0 ; d1:6+0+0=6→w6,c0 ; d0:8+1+0=9→w9,c0 ; sum=969 |
list_summation | list_summation:pairwise | 1, 7, 6, 3 | 1+7=8 ; 6+3=9 ; 8+9=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 666+551 | round:670+551=1221 ; adjust:1221-4=1217 ; sum=1217 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 0, 7, 9 | [2,5,0,7,9] ; [0,2,5,7,9] ; [0,2,5,7,9] ; [0,2,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 815+695 | round:820+695=1515 ; adjust:1515-5=1510 ; sum=1510 |
base_conversion | base_conversion:decomposition | n=19,base=16 | TERM:1*16^1=16 ; TERM:3*16^0=3 ; OUT:13 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 5, 6, 1, 2 | [6,5,4,1,2] ; [2,5,4,1,6] ; [5,2,4,1,6] ; [1,2,4,5,6] ; [4,2,1,5,6] ; [1,2,4,5,6] ; [2,1,4,5,6] ; [1,2,4,5,6] |
base_conversion | base_conversion:decomposition | n=103,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:1213 |
base_conversion | base_conversion:repeated-division | n=119,base=4 | DIV:119/4=29,r:3 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1313 |
list_summation | list_summation:left-to-right | 5, 2, 1, 9 | 5+2=7 ; 7+1=8 ; 8+9=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-72 | 8x-16=-72 ; 8x=-56 ; x=-7 |
list_summation | list_summation:pairwise | 7, 6, 0, 9 | 7+6=13 ; 0+9=9 ; 13+9=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 7, 4, 1 | [3,9,7,4,1] ; [3,9,4,7,1] ; [3,4,7,9,1] ; [1,3,4,7,9] |
base_conversion | base_conversion:decomposition | n=126,base=16 | TERM:7*16^1=112 ; TERM:14*16^0=14 ; OUT:7E |
list_summation | list_summation:pairwise | 8, 7, 8, 1 | 8+7=15 ; 8+1=9 ; 15+9=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=56 | 7x+28=56 ; 7x=28 ; x=4 |
base_conversion | base_conversion:via-binary | n=25,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:1 ; OUT:31 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 0, 4, 5 | [7,9,0,4,5] ; [0,7,9,4,5] ; [0,4,7,9,5] ; [0,4,5,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 732+502 | p100:700+500=1200 ; p10:30+0=30 ; p1:2+2=4 ; sum=1200+30+4=1234 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 8, 3, 2, 6 | [6,8,3,2,9] ; [8,6,3,2,9] ; [2,6,3,8,9] ; [6,2,3,8,9] ; [3,2,6,8,9] ; [2,3,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
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