task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 1, 7, 9 | [4,6,1,7,9] ; [1,4,6,7,9] ; [1,4,6,7,9] ; [1,4,6,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 3, 0, 2 | [0,1,3,7,2] ; [0,1,3,7,2] ; [0,1,2,7,3] ; [0,1,2,3,7] |
base_conversion | base_conversion:via-binary | n=15,base=4 | BINLEN:4 ; CHUNK:0:3 ; CHUNK:1:3 ; OUT:33 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=-45 | 9x+0=-45 ; x+0=-5 ; x=-5-0 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 448+490 | p100:400+400=800 ; p10:40+90=130 ; p1:8+0=8 ; sum=800+130+8=938 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 1, 9, 5 | [3,9,1,4,5] ; [9,3,1,4,5] ; [9,5,1,4,3] ; [3,5,1,4,9] ; [5,3,1,4,9] ; [5,4,1,3,9] ; [3,4,1,5,9] ; [4,3,1,5,9] ; [1,3,4,5,9] ; [3,1,4,5,9] ; [1,3,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=35 | 5x-5=35 ; x+-1=7 ; x=7--1 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 271+337 | round:280+337=617 ; adjust:617-9=608 ; sum=608 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 4, 2, 6 | [5,4,7,2,6] ; [5,4,2,7,6] ; [5,4,2,6,7] ; [4,5,2,6,7] ; [4,2,5,6,7] ; [2,4,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=-72 | 9x-18=-72 ; x=(-72--18)/9 ; x=-54/9 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=216,base=8 | DIV:216/8=27,r:0 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:330 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=15 | 5x+20=15 ; x+4=3 ; x=3-4 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 624+945 | p100:600+900=1500 ; p10:20+40=60 ; p1:4+5=9 ; sum=1500+60+9=1569 |
multidigit_addition | multidigit_addition:right-to-left-carry | 366+547 | d2:6+7+0=13→w3,c1 ; d1:6+4+1=11→w1,c1 ; d0:3+5+1=9→w9,c0 ; sum=913 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=-4 | 2x-2=-4 ; 2x=-2 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(5,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 9, 5, 4 | [1,2,9,5,4] ; [1,2,9,5,4] ; [1,2,4,5,9] ; [1,2,4,5,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 8, 0, 4 | [5,7,8,0,4] ; [5,7,0,8,4] ; [0,5,7,8,4] ; [0,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=255,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11111111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 923+503 | round:930+503=1433 ; adjust:1433-7=1426 ; sum=1426 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-6 | 6x-30=-6 ; 6x=24 ; x=4 |
list_summation | list_summation:left-to-right | 2, 4, 2, 8 | 2+4=6 ; 6+2=8 ; 8+8=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 303+351 | p100:300+300=600 ; p10:0+50=50 ; p1:3+1=4 ; sum=600+50+4=654 |
list_summation | list_summation:left-to-right | 7, 7, 8, 7 | 7+7=14 ; 14+8=22 ; 22+7=29 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-12 | 2x-10=-12 ; x+-5=-6 ; x=-6--5 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 893+955 | round:900+955=1855 ; adjust:1855-7=1848 ; sum=1848 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 962+761 | round:970+761=1731 ; adjust:1731-8=1723 ; sum=1723 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 0, 3, 2 | [1,7,0,3,2] ; [1,0,7,3,2] ; [1,0,3,7,2] ; [1,0,3,2,7] ; [0,1,3,2,7] ; [0,1,2,3,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=-40 | 8x+0=-40 ; x=(-40-0)/8 ; x=-40/8 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 610+770 | round:610+770=1380 ; adjust:1380-0=1380 ; sum=1380 |
base_conversion | base_conversion:via-binary | n=6,base=16 | BINLEN:3 ; CHUNK:0:6 ; OUT:6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 1, 2, 2, 4 | 2+4=6 ; 2+6=8 ; 1+8=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 9, 5, 0 | [3,4,9,5,0] ; [3,4,5,9,0] ; [0,3,4,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 1, 1, 6, 7 | 1+1=2 ; 6+7=13 ; 2+13=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 1, 8, 4, 3 | [1,5,8,4,3] ; [1,3,8,4,5] ; [1,3,4,8,5] ; [1,3,4,5,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,5) | D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:pairwise | 7, 8, 2, 4 | 7+8=15 ; 2+4=6 ; 15+6=21 |
base_conversion | base_conversion:via-binary | n=71,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:7 ; OUT:107 |
list_summation | list_summation:left-to-right | 0, 3, 9, 8 | 0+3=3 ; 3+9=12 ; 12+8=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 6, 2, 7 | [1,5,6,2,7] ; [1,5,6,2,7] ; [1,2,5,6,7] ; [1,2,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+0=-16 | 4x+0=-16 ; x=(-16-0)/4 ; x=-16/4 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 554+509 | p100:500+500=1000 ; p10:50+0=50 ; p1:4+9=13 ; sum=1000+50+13=1063 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 3, 0, 6 | [5,7,0,3,6] ; [0,3,5,7,6] ; [0,3,5,6,7] |
list_summation | list_summation:right-to-left | 6, 8, 0, 6 | 0+6=6 ; 8+6=14 ; 6+14=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-10=25 | 5x-10=25 ; x=(25--10)/5 ; x=35/5 ; x=7 |
base_conversion | base_conversion:via-binary | n=234,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:2 ; OUT:352 |
multidigit_addition | multidigit_addition:rounding-decomposition | 292+528 | round:300+528=828 ; adjust:828-8=820 ; sum=820 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,4) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:pairwise | 4, 8, 0, 9 | 4+8=12 ; 0+9=9 ; 12+9=21 |
list_summation | list_summation:right-to-left | 7, 7, 3, 2 | 3+2=5 ; 7+5=12 ; 7+12=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=10 | 5x+35=10 ; x=(10-35)/5 ; x=-25/5 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
base_conversion | base_conversion:decomposition | n=252,base=16 | TERM:15*16^1=240 ; TERM:12*16^0=12 ; OUT:FC |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=36 | 6x+18=36 ; 6x=18 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(4,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-21=-42 | 7x-21=-42 ; x=(-42--21)/7 ; x=-21/7 ; x=-3 |
list_summation | list_summation:left-to-right | 0, 2, 6, 6 | 0+2=2 ; 2+6=8 ; 8+6=14 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 1, 7, 4 | [3,9,1,7,4] ; [1,3,9,7,4] ; [1,3,7,9,4] ; [1,3,4,7,9] |
base_conversion | base_conversion:repeated-division | n=11,base=2 | DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 3, 4, 9 | [5,7,3,4,9] ; [3,5,7,4,9] ; [3,4,5,7,9] ; [3,4,5,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 214+310 | p100:200+300=500 ; p10:10+10=20 ; p1:4+0=4 ; sum=500+20+4=524 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 1, 6, 9 | [1,7,3,6,9] ; [1,3,7,6,9] ; [1,3,6,7,9] ; [1,3,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-14=-20 | 2x-14=-20 ; 2x=-6 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 8, 9, 9, 2 | 9+2=11 ; 9+11=20 ; 8+20=28 |
multidigit_addition | multidigit_addition:rounding-decomposition | 871+127 | round:880+127=1007 ; adjust:1007-9=998 ; sum=998 |
base_conversion | base_conversion:via-binary | n=94,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1011110 |
list_summation | list_summation:left-to-right | 1, 4, 1, 8 | 1+4=5 ; 5+1=6 ; 6+8=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 221+504 | d2:1+4+0=5→w5,c0 ; d1:2+0+0=2→w2,c0 ; d0:2+5+0=7→w7,c0 ; sum=725 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 1, 7, 4 | [0,2,1,7,4] ; [0,1,2,7,4] ; [0,1,2,7,4] ; [0,1,2,4,7] |
list_summation | list_summation:pairwise | 7, 6, 5, 4 | 7+6=13 ; 5+4=9 ; 13+9=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 305+926 | d2:5+6+0=11→w1,c1 ; d1:0+2+1=3→w3,c0 ; d0:3+9+0=12→w2,c1 ; sum=1231 |
multidigit_addition | multidigit_addition:left-to-right-partials | 528+398 | p100:500+300=800 ; p10:20+90=110 ; p1:8+8=16 ; sum=800+110+16=926 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 2, 0, 2, 5 | 2+5=7 ; 0+7=7 ; 2+7=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 585+770 | p100:500+700=1200 ; p10:80+70=150 ; p1:5+0=5 ; sum=1200+150+5=1355 |
base_conversion | base_conversion:decomposition | n=154,base=16 | TERM:9*16^1=144 ; TERM:10*16^0=10 ; OUT:9A |
multidigit_addition | multidigit_addition:left-to-right-partials | 271+432 | p100:200+400=600 ; p10:70+30=100 ; p1:1+2=3 ; sum=600+100+3=703 |
list_summation | list_summation:left-to-right | 2, 6, 8, 9 | 2+6=8 ; 8+8=16 ; 16+9=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 0, 9, 8 | [7,9,0,4,8] ; [9,7,0,4,8] ; [9,8,0,4,7] ; [7,8,0,4,9] ; [8,7,0,4,9] ; [4,7,0,8,9] ; [7,4,0,8,9] ; [0,4,7,8,9] ; [4,0,7,8,9] ; [0,4,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 0, 7, 3, 2 | 0+7=7 ; 3+2=5 ; 7+5=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 0, 6, 8 | [7,8,0,6,1] ; [8,7,0,6,1] ; [1,7,0,6,8] ; [7,1,0,6,8] ; [7,6,0,1,8] ; [1,6,0,7,8] ; [6,1,0,7,8] ; [0,1,6,7,8] ; [1,0,6,7,8] ; [0,1,6,7,8] |
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 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 9, 6, 4 | [3,8,9,6,4] ; [3,4,9,6,8] ; [3,4,6,9,8] ; [3,4,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+63=112 | 7x+63=112 ; 7x=49 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 714+581 | p100:700+500=1200 ; p10:10+80=90 ; p1:4+1=5 ; sum=1200+90+5=1295 |
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