task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=77,base=16 | TERM:4*16^1=64 ; TERM:13*16^0=13 ; OUT:4D |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=9 | 3x-9=9 ; x=(9--9)/3 ; x=18/3 ; x=6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 4, 0, 3 | [6,7,4,0,3] ; [4,6,7,0,3] ; [0,4,6,7,3] ; [0,3,4,6,7] |
list_summation | list_summation:right-to-left | 6, 8, 2, 6 | 2+6=8 ; 8+8=16 ; 6+16=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 229+284 | d2:9+4+0=13→w3,c1 ; d1:2+8+1=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=513 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 1, 0, 2, 8 | [0,1,9,2,8] ; [0,1,9,2,8] ; [0,1,2,9,8] ; [0,1,2,8,9] |
base_conversion | base_conversion:repeated-division | n=164,base=8 | DIV:164/8=20,r:4 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:244 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 4, 0, 1, 8 | 1+8=9 ; 0+9=9 ; 4+9=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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 247+957 | d2:7+7+0=14→w4,c1 ; d1:4+5+1=10→w0,c1 ; d0:2+9+1=12→w2,c1 ; sum=1204 |
base_conversion | base_conversion:repeated-division | n=236,base=16 | DIV:236/16=14,r:12 ; DIV:14/16=0,r:14 ; OUT:EC |
list_summation | list_summation:right-to-left | 4, 4, 0, 8 | 0+8=8 ; 4+8=12 ; 4+12=16 |
base_conversion | base_conversion:decomposition | n=31,base=4 | TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:133 |
base_conversion | base_conversion:via-binary | n=62,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:111110 |
multidigit_addition | multidigit_addition:rounding-decomposition | 750+121 | round:750+121=871 ; adjust:871-0=871 ; sum=871 |
multidigit_addition | multidigit_addition:rounding-decomposition | 507+283 | round:510+283=793 ; adjust:793-3=790 ; sum=790 |
multidigit_addition | multidigit_addition:right-to-left-carry | 881+863 | d2:1+3+0=4→w4,c0 ; d1:8+6+0=14→w4,c1 ; d0:8+8+1=17→w7,c1 ; sum=1744 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 0, 8, 1 | [6,0,9,8,1] ; [6,0,8,9,1] ; [6,0,8,1,9] ; [0,6,8,1,9] ; [0,6,1,8,9] ; [0,1,6,8,9] |
base_conversion | base_conversion:via-binary | n=177,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2301 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-6 | 3x-12=-6 ; x=(-6--12)/3 ; x=6/3 ; x=2 |
base_conversion | base_conversion:via-binary | n=96,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:0 ; OUT:60 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=32 | 8x+40=32 ; x=(32-40)/8 ; x=-8/8 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 5, 4, 6 | [0,3,5,4,6] ; [0,3,5,4,6] ; [0,3,4,5,6] ; [0,3,4,5,6] |
list_summation | list_summation:pairwise | 2, 8, 7, 6 | 2+8=10 ; 7+6=13 ; 10+13=23 |
list_summation | list_summation:pairwise | 6, 8, 4, 1 | 6+8=14 ; 4+1=5 ; 14+5=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 348+825 | d2:8+5+0=13→w3,c1 ; d1:4+2+1=7→w7,c0 ; d0:3+8+0=11→w1,c1 ; sum=1173 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 5, 0, 9 | [0,3,5,4,9] ; [0,3,5,4,9] ; [0,3,4,5,9] ; [0,3,4,5,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 221+167 | round:230+167=397 ; adjust:397-9=388 ; sum=388 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(3,1) | D:(2,0) ; D:(3,0) ; R:(3,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-35=-40 | 5x-35=-40 ; 5x=-5 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=204,base=2 | DIV:204/2=102,r:0 ; DIV:102/2=51,r:0 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11001100 |
multidigit_addition | multidigit_addition:rounding-decomposition | 357+182 | round:360+182=542 ; adjust:542-3=539 ; sum=539 |
list_summation | list_summation:left-to-right | 4, 3, 3, 5 | 4+3=7 ; 7+3=10 ; 10+5=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 1, 2, 0 | [0,9,1,2,6] ; [0,1,9,2,6] ; [0,1,2,9,6] ; [0,1,2,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 9, 5, 6 | [4,6,9,5,1] ; [9,6,4,5,1] ; [1,6,4,5,9] ; [6,1,4,5,9] ; [6,5,4,1,9] ; [1,5,4,6,9] ; [5,1,4,6,9] ; [4,1,5,6,9] ; [1,4,5,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 5, 8, 7 | [2,5,6,8,7] ; [2,5,6,7,8] |
list_summation | list_summation:pairwise | 4, 1, 8, 9 | 4+1=5 ; 8+9=17 ; 5+17=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 926+540 | round:930+540=1470 ; adjust:1470-4=1466 ; sum=1466 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 9, 1, 4 | [9,6,8,1,4] ; [4,6,8,1,9] ; [8,6,4,1,9] ; [1,6,4,8,9] ; [6,1,4,8,9] ; [4,1,6,8,9] ; [1,4,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 519+289 | round:520+289=809 ; adjust:809-1=808 ; sum=808 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 0, 5, 7 | [9,7,0,5,6] ; [6,7,0,5,9] ; [7,6,0,5,9] ; [5,6,0,7,9] ; [6,5,0,7,9] ; [0,5,6,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9] |
list_summation | list_summation:left-to-right | 4, 0, 5, 6 | 4+0=4 ; 4+5=9 ; 9+6=15 |
base_conversion | base_conversion:decomposition | n=144,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:220 |
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:inverse-ops | 5x-10=-40 | 5x-10=-40 ; x=(-40--10)/5 ; x=-30/5 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 293+476 | round:300+476=776 ; adjust:776-7=769 ; sum=769 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 4, 6, 9, 5 | [4,8,6,9,5] ; [4,6,8,9,5] ; [4,6,8,5,9] ; [4,6,5,8,9] ; [4,5,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+0=21 | 3x+0=21 ; x+0=7 ; x=7-0 ; x=7 |
base_conversion | base_conversion:via-binary | n=151,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:2113 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 2, 1, 7 | [5,2,9,1,7] ; [5,2,1,9,7] ; [5,2,1,7,9] ; [2,5,1,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9] |
base_conversion | base_conversion:via-binary | n=27,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:3 ; OUT:33 |
list_summation | list_summation:pairwise | 6, 2, 0, 7 | 6+2=8 ; 0+7=7 ; 8+7=15 |
base_conversion | base_conversion:via-binary | n=242,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11110010 |
list_summation | list_summation:left-to-right | 0, 8, 0, 3 | 0+8=8 ; 8+0=8 ; 8+3=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 646+908 | p100:600+900=1500 ; p10:40+0=40 ; p1:6+8=14 ; sum=1500+40+14=1554 |
multidigit_addition | multidigit_addition:left-to-right-partials | 581+279 | p100:500+200=700 ; p10:80+70=150 ; p1:1+9=10 ; sum=700+150+10=860 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=30 | 5x+20=30 ; 5x=10 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(3,5) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 1, 3, 4 | [0,1,7,3,4] ; [0,1,3,7,4] ; [0,1,3,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-5 | 5x-5=-5 ; x+-1=-1 ; x=-1--1 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-72 | 4x-36=-72 ; 4x=-36 ; x=-9 |
base_conversion | base_conversion:via-binary | n=115,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1303 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 8, 1, 9 | [1,7,8,4,9] ; [1,4,8,7,9] ; [1,4,7,8,9] ; [1,4,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=9 | 9x+81=9 ; 9x=-72 ; 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 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=55 | 5x+45=55 ; x+9=11 ; x=11-9 ; x=2 |
list_summation | list_summation:right-to-left | 4, 7, 8, 8 | 8+8=16 ; 7+16=23 ; 4+23=27 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 5, 8, 4 | [1,5,7,8,4] ; [1,5,7,4,8] ; [1,5,4,7,8] ; [1,4,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-102 | 6x-54=-102 ; x=(-102--54)/6 ; x=-48/6 ; x=-8 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 3, 4, 0 | [0,5,3,4,8] ; [0,3,5,4,8] ; [0,3,4,5,8] ; [0,3,4,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=-24 | 6x+6=-24 ; x+1=-4 ; x=-4-1 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 524+896 | round:530+896=1426 ; adjust:1426-6=1420 ; sum=1420 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+45=80 | 5x+45=80 ; x=(80-45)/5 ; x=35/5 ; x=7 |
list_summation | list_summation:right-to-left | 1, 9, 1, 7 | 1+7=8 ; 9+8=17 ; 1+17=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+3=6 | 3x+3=6 ; x+1=2 ; x=2-1 ; x=1 |
base_conversion | base_conversion:via-binary | n=178,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:2 ; OUT:262 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=0 | 7x-7=0 ; x+-1=0 ; x=0--1 ; x=1 |
base_conversion | base_conversion:decomposition | n=253,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:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11111101 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=-24 | 3x+3=-24 ; x=(-24-3)/3 ; x=-27/3 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 340+875 | d2:0+5+0=5→w5,c0 ; d1:4+7+0=11→w1,c1 ; d0:3+8+1=12→w2,c1 ; sum=1215 |
base_conversion | base_conversion:via-binary | n=93,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1131 |
list_summation | list_summation:right-to-left | 3, 4, 1, 8 | 1+8=9 ; 4+9=13 ; 3+13=16 |
base_conversion | base_conversion:decomposition | n=243,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3303 |
multidigit_addition | multidigit_addition:left-to-right-partials | 871+401 | p100:800+400=1200 ; p10:70+0=70 ; p1:1+1=2 ; sum=1200+70+2=1272 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+63=7 | 7x+63=7 ; x=(7-63)/7 ; x=-56/7 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 2, 4, 6, 7 | [5,7,4,6,2] ; [7,5,4,6,2] ; [7,6,4,5,2] ; [2,6,4,5,7] ; [6,2,4,5,7] ; [6,5,4,2,7] ; [2,5,4,6,7] ; [5,2,4,6,7] ; [4,2,5,6,7] ; [2,4,5,6,7] |
base_conversion | base_conversion:decomposition | n=118,base=16 | TERM:7*16^1=112 ; TERM:6*16^0=6 ; OUT:76 |
base_conversion | base_conversion:repeated-division | n=220,base=4 | DIV:220/4=55,r:0 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3130 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=16 | 4x+4=16 ; x+1=4 ; x=4-1 ; x=3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
base_conversion | base_conversion:repeated-division | n=136,base=16 | DIV:136/16=8,r:8 ; DIV:8/16=0,r:8 ; OUT:88 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-10=-5 | 5x-10=-5 ; x=(-5--10)/5 ; x=5/5 ; x=1 |
list_summation | list_summation:left-to-right | 0, 0, 2, 4 | 0+0=0 ; 0+2=2 ; 2+4=6 |
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