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:subtract-then-divide | 9x+9=63 | 9x+9=63 ; 9x=54 ; x=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 3, 6, 0 | [5,3,8,6,0] ; [5,3,6,8,0] ; [5,3,6,0,8] ; [3,5,6,0,8] ; [3,5,0,6,8] ; [3,0,5,6,8] ; [0,3,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-20=20 | 5x-20=20 ; x=(20--20)/5 ; x=40/5 ; x=8 |
base_conversion | base_conversion:via-binary | n=139,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10001011 |
list_summation | list_summation:left-to-right | 6, 7, 2, 2 | 6+7=13 ; 13+2=15 ; 15+2=17 |
base_conversion | base_conversion:via-binary | n=125,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:175 |
list_summation | list_summation:pairwise | 1, 8, 7, 6 | 1+8=9 ; 7+6=13 ; 9+13=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 1, 6, 5 | [1,4,6,7,5] ; [1,4,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:repeated-division | n=32,base=4 | DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:200 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 7, 1, 5 | [1,2,7,3,5] ; [1,2,7,3,5] ; [1,2,3,7,5] ; [1,2,3,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-36 | 4x-36=-36 ; x=(-36--36)/4 ; x=0/4 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-40=-8 | 8x-40=-8 ; 8x=32 ; x=4 |
base_conversion | base_conversion:repeated-division | n=221,base=2 | DIV:221/2=110,r:1 ; DIV:110/2=55,r:0 ; 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:11011101 |
list_summation | list_summation:right-to-left | 0, 7, 4, 9 | 4+9=13 ; 7+13=20 ; 0+20=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-8=-32 | 4x-8=-32 ; x+-2=-8 ; x=-8--2 ; x=-6 |
list_summation | list_summation:right-to-left | 7, 5, 7, 3 | 7+3=10 ; 5+10=15 ; 7+15=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 407+573 | round:410+573=983 ; adjust:983-3=980 ; sum=980 |
list_summation | list_summation:left-to-right | 7, 7, 6, 0 | 7+7=14 ; 14+6=20 ; 20+0=20 |
list_summation | list_summation:pairwise | 9, 8, 3, 4 | 9+8=17 ; 3+4=7 ; 17+7=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 6, 1, 7 | [8,7,6,1,0] ; [0,7,6,1,8] ; [7,0,6,1,8] ; [7,1,6,0,8] ; [0,1,6,7,8] ; [6,1,0,7,8] ; [0,1,6,7,8] ; [1,0,6,7,8] ; [0,1,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 5, 9, 7 | [0,4,5,9,7] ; [0,4,5,9,7] ; [0,4,5,9,7] ; [0,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=135 | 9x+81=135 ; x+9=15 ; x=15-9 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 893+703 | d2:3+3+0=6→w6,c0 ; d1:9+0+0=9→w9,c0 ; d0:8+7+0=15→w5,c1 ; sum=1596 |
list_summation | list_summation:left-to-right | 0, 5, 2, 4 | 0+5=5 ; 5+2=7 ; 7+4=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 3, 0, 2, 9 | [1,3,0,2,9] ; [0,1,3,2,9] ; [0,1,2,3,9] ; [0,1,2,3,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 1, 4, 2 | [6,7,1,4,2] ; [1,6,7,4,2] ; [1,4,6,7,2] ; [1,2,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 629+354 | p100:600+300=900 ; p10:20+50=70 ; p1:9+4=13 ; sum=900+70+13=983 |
base_conversion | base_conversion:via-binary | n=90,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:1122 |
list_summation | list_summation:pairwise | 3, 9, 2, 1 | 3+9=12 ; 2+1=3 ; 12+3=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 5, 8, 7 | [0,3,5,8,7] ; [0,3,5,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=78,base=8 | DIV:78/8=9,r:6 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:116 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 7, 2, 8 | [9,8,7,2,5] ; [5,8,7,2,9] ; [8,5,7,2,9] ; [2,5,7,8,9] ; [7,5,2,8,9] ; [2,5,7,8,9] ; [5,2,7,8,9] ; [2,5,7,8,9] |
base_conversion | base_conversion:repeated-division | n=206,base=4 | DIV:206/4=51,r:2 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3032 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(2,5) | D:(1,4) ; D:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=213,base=2 | DIV:213/2=106,r:1 ; DIV:106/2=53,r:0 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; 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:11010101 |
base_conversion | base_conversion:repeated-division | n=133,base=2 | DIV:133/2=66,r:1 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000101 |
list_summation | list_summation:left-to-right | 4, 5, 6, 7 | 4+5=9 ; 9+6=15 ; 15+7=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=-8 | 2x-12=-8 ; 2x=4 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 592+762 | d2:2+2+0=4→w4,c0 ; d1:9+6+0=15→w5,c1 ; d0:5+7+1=13→w3,c1 ; sum=1354 |
list_summation | list_summation:right-to-left | 1, 9, 4, 8 | 4+8=12 ; 9+12=21 ; 1+21=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=-8 | 2x+6=-8 ; x=(-8-6)/2 ; x=-14/2 ; x=-7 |
list_summation | list_summation:pairwise | 3, 4, 5, 1 | 3+4=7 ; 5+1=6 ; 7+6=13 |
base_conversion | base_conversion:repeated-division | n=47,base=16 | DIV:47/16=2,r:15 ; DIV:2/16=0,r:2 ; OUT:2F |
multidigit_addition | multidigit_addition:right-to-left-carry | 220+834 | d2:0+4+0=4→w4,c0 ; d1:2+3+0=5→w5,c0 ; d0:2+8+0=10→w0,c1 ; sum=1054 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 4, 5, 4, 2 | 4+5=9 ; 4+2=6 ; 9+6=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 397+938 | d2:7+8+0=15→w5,c1 ; d1:9+3+1=13→w3,c1 ; d0:3+9+1=13→w3,c1 ; sum=1335 |
list_summation | list_summation:left-to-right | 5, 7, 8, 8 | 5+7=12 ; 12+8=20 ; 20+8=28 |
list_summation | list_summation:left-to-right | 7, 0, 0, 1 | 7+0=7 ; 7+0=7 ; 7+1=8 |
list_summation | list_summation:right-to-left | 8, 1, 7, 0 | 7+0=7 ; 1+7=8 ; 8+8=16 |
list_summation | list_summation:left-to-right | 1, 5, 0, 7 | 1+5=6 ; 6+0=6 ; 6+7=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=70,base=16 | DIV:70/16=4,r:6 ; DIV:4/16=0,r:4 ; OUT:46 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 9, 7, 8, 5 | [6,9,7,8,5] ; [6,7,9,8,5] ; [6,7,8,9,5] ; [5,6,7,8,9] |
list_summation | list_summation:pairwise | 8, 2, 0, 8 | 8+2=10 ; 0+8=8 ; 10+8=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 9, 0, 1 | [0,7,9,3,1] ; [0,1,9,3,7] ; [0,1,3,9,7] ; [0,1,3,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=14 | 7x+56=14 ; x=(14-56)/7 ; x=-42/7 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 7, 0, 6 | [2,7,9,0,6] ; [2,7,0,9,6] ; [2,7,0,6,9] ; [2,0,7,6,9] ; [2,0,6,7,9] ; [0,2,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=0 | 6x-36=0 ; 6x=36 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=24 | 8x+64=24 ; 8x=-40 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 2, 1, 4 | [6,2,9,1,4] ; [6,2,1,9,4] ; [6,2,1,4,9] ; [2,6,1,4,9] ; [2,1,6,4,9] ; [2,1,4,6,9] ; [1,2,4,6,9] |
base_conversion | base_conversion:via-binary | n=254,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:14 ; OUT:FE |
list_summation | list_summation:pairwise | 9, 9, 9, 2 | 9+9=18 ; 9+2=11 ; 18+11=29 |
list_summation | list_summation:left-to-right | 8, 0, 5, 1 | 8+0=8 ; 8+5=13 ; 13+1=14 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 8, 6, 7 | [0,9,8,6,7] ; [0,8,9,6,7] ; [0,8,6,9,7] ; [0,8,6,7,9] ; [0,6,8,7,9] ; [0,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=54 | 6x+42=54 ; 6x=12 ; x=2 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 8, 0, 6 | [4,9,8,0,6] ; [4,9,0,8,6] ; [0,4,8,9,6] ; [0,4,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=10 | 2x-8=10 ; x=(10--8)/2 ; x=18/2 ; x=9 |
base_conversion | base_conversion:repeated-division | n=77,base=2 | DIV:77/2=38,r:1 ; DIV:38/2=19,r:0 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1001101 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 9, 3, 0, 2 | [9,5,3,0,2] ; [2,5,3,0,9] ; [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] |
multidigit_addition | multidigit_addition:right-to-left-carry | 848+202 | d2:8+2+0=10→w0,c1 ; d1:4+0+1=5→w5,c0 ; d0:8+2+0=10→w0,c1 ; sum=1050 |
base_conversion | base_conversion:via-binary | n=139,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:2023 |
base_conversion | base_conversion:via-binary | n=12,base=4 | BINLEN:4 ; CHUNK:0:3 ; CHUNK:1:0 ; OUT:30 |
base_conversion | base_conversion:decomposition | n=40,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:101000 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 1, 9, 0 | [0,5,1,9,7] ; [0,1,5,9,7] ; [0,1,5,9,7] ; [0,1,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 870+527 | d2:0+7+0=7→w7,c0 ; d1:7+2+0=9→w9,c0 ; d0:8+5+0=13→w3,c1 ; sum=1397 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-42 | 3x-21=-42 ; x=(-42--21)/3 ; x=-21/3 ; x=-7 |
base_conversion | base_conversion:via-binary | n=116,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:4 ; OUT:164 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-45 | 3x-27=-45 ; x+-9=-15 ; x=-15--9 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-25=-55 | 5x-25=-55 ; 5x=-30 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-24 | 8x-24=-24 ; x=(-24--24)/8 ; x=0/8 ; x=0 |
base_conversion | base_conversion:via-binary | n=176,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:0 ; OUT:B0 |
base_conversion | base_conversion:via-binary | n=102,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:6 ; OUT:146 |
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=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,4) | D:(1,0) ; R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-24=-8 | 4x-24=-8 ; x+-6=-2 ; x=-2--6 ; x=4 |
list_summation | list_summation:right-to-left | 1, 8, 5, 5 | 5+5=10 ; 8+10=18 ; 1+18=19 |
list_summation | list_summation:left-to-right | 8, 3, 0, 7 | 8+3=11 ; 11+0=11 ; 11+7=18 |
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