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 | 7x-42=-42 | 7x-42=-42 ; 7x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 3, 8, 9 | [2,7,3,8,9] ; [2,3,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 6, 0, 4 | [8,5,6,0,4] ; [4,5,6,0,8] ; [6,5,4,0,8] ; [0,5,4,6,8] ; [5,0,4,6,8] ; [4,0,5,6,8] ; [0,4,5,6,8] |
base_conversion | base_conversion:decomposition | n=197,base=16 | TERM:12*16^1=192 ; TERM:5*16^0=5 ; OUT:C5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=21 | 7x+28=21 ; 7x=-7 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+64=48 | 8x+64=48 ; x+8=6 ; x=6-8 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=222,base=2 | DIV:222/2=111,r:0 ; 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:11011110 |
base_conversion | base_conversion:decomposition | n=195,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11000011 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=-77 | 7x-28=-77 ; 7x=-49 ; x=-7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=141,base=16 | DIV:141/16=8,r:13 ; DIV:8/16=0,r:8 ; OUT:8D |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 9, 3, 1 | [0,6,9,3,1] ; [0,6,3,9,1] ; [0,3,6,9,1] ; [0,1,3,6,9] |
list_summation | list_summation:left-to-right | 9, 6, 6, 2 | 9+6=15 ; 15+6=21 ; 21+2=23 |
list_summation | list_summation:pairwise | 2, 6, 1, 4 | 2+6=8 ; 1+4=5 ; 8+5=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+12=36 | 3x+12=36 ; x+4=12 ; x=12-4 ; x=8 |
base_conversion | base_conversion:repeated-division | n=90,base=2 | DIV:90/2=45,r:0 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; 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:1011010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 833+835 | round:840+835=1675 ; adjust:1675-7=1668 ; sum=1668 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 2, 9, 6 | [1,4,2,9,6] ; [1,2,4,9,6] ; [1,2,4,9,6] ; [1,2,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 911+427 | d2:1+7+0=8→w8,c0 ; d1:1+2+0=3→w3,c0 ; d0:9+4+0=13→w3,c1 ; sum=1338 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=9 | 9x+0=9 ; x=(9-0)/9 ; x=9/9 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-32=-32 | 8x-32=-32 ; 8x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-18=-48 | 6x-18=-48 ; 6x=-30 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 237+885 | d2:7+5+0=12→w2,c1 ; d1:3+8+1=12→w2,c1 ; d0:2+8+1=11→w1,c1 ; sum=1122 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,2) | R:(2,1) ; R:(2,2) ; D:(3,2) |
list_summation | list_summation:pairwise | 3, 7, 2, 7 | 3+7=10 ; 2+7=9 ; 10+9=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 670+190 | p100:600+100=700 ; p10:70+90=160 ; p1:0+0=0 ; sum=700+160+0=860 |
base_conversion | base_conversion:decomposition | n=105,base=16 | TERM:6*16^1=96 ; TERM:9*16^0=9 ; OUT:69 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 7, 5, 1 | [0,8,7,5,1] ; [0,7,8,5,1] ; [0,5,7,8,1] ; [0,1,5,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,2) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 189+928 | p100:100+900=1000 ; p10:80+20=100 ; p1:9+8=17 ; sum=1000+100+17=1117 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=91 | 7x+56=91 ; 7x=35 ; x=5 |
base_conversion | base_conversion:repeated-division | n=170,base=2 | DIV:170/2=85,r:0 ; DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; 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:10101010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,3) | D:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:via-binary | n=170,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2222 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=40 | 8x+72=40 ; x=(40-72)/8 ; x=-32/8 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 577+456 | round:580+456=1036 ; adjust:1036-3=1033 ; sum=1033 |
list_summation | list_summation:pairwise | 7, 1, 9, 8 | 7+1=8 ; 9+8=17 ; 8+17=25 |
list_summation | list_summation:left-to-right | 0, 7, 9, 5 | 0+7=7 ; 7+9=16 ; 16+5=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 2, 1, 2, 7 | 2+1=3 ; 2+7=9 ; 3+9=12 |
base_conversion | base_conversion:repeated-division | n=166,base=8 | DIV:166/8=20,r:6 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:246 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=40 | 4x+24=40 ; 4x=16 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-60 | 6x-30=-60 ; 6x=-30 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 693+950 | d2:3+0+0=3→w3,c0 ; d1:9+5+0=14→w4,c1 ; d0:6+9+1=16→w6,c1 ; sum=1643 |
multidigit_addition | multidigit_addition:right-to-left-carry | 240+202 | d2:0+2+0=2→w2,c0 ; d1:4+0+0=4→w4,c0 ; d0:2+2+0=4→w4,c0 ; sum=442 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 3, 2, 4 | [2,9,3,8,4] ; [2,3,9,8,4] ; [2,3,4,8,9] ; [2,3,4,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=8 | 4x+28=8 ; x=(8-28)/4 ; x=-20/4 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 0, 2, 9 | [0,6,4,2,9] ; [0,2,4,6,9] ; [0,2,4,6,9] ; [0,2,4,6,9] |
list_summation | list_summation:pairwise | 8, 7, 6, 4 | 8+7=15 ; 6+4=10 ; 15+10=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=12 | 3x+24=12 ; x+8=4 ; x=4-8 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 0, 1, 4 | [0,3,7,1,4] ; [0,1,7,3,4] ; [0,1,3,7,4] ; [0,1,3,4,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+14=42 | 7x+14=42 ; x=(42-14)/7 ; x=28/7 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 250+910 | p100:200+900=1100 ; p10:50+10=60 ; p1:0+0=0 ; sum=1100+60+0=1160 |
base_conversion | base_conversion:repeated-division | n=240,base=8 | DIV:240/8=30,r:0 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:360 |
list_summation | list_summation:right-to-left | 0, 7, 1, 3 | 1+3=4 ; 7+4=11 ; 0+11=11 |
base_conversion | base_conversion:decomposition | n=216,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:330 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 638+938 | p100:600+900=1500 ; p10:30+30=60 ; p1:8+8=16 ; sum=1500+60+16=1576 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 7, 3, 8, 9 | [4,7,3,8,9] ; [3,4,7,8,9] ; [3,4,7,8,9] ; [3,4,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 3, 4, 2 | [2,5,3,4,8] ; [2,3,5,4,8] ; [2,3,4,5,8] ; [2,3,4,5,8] |
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=(2,0) ; G=(4,2) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 475+994 | round:480+994=1474 ; adjust:1474-5=1469 ; sum=1469 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
base_conversion | base_conversion:via-binary | n=162,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10100010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 886+758 | round:890+758=1648 ; adjust:1648-4=1644 ; sum=1644 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 7, 3, 4 | [1,5,7,3,4] ; [1,5,7,3,4] ; [1,3,5,7,4] ; [1,3,4,5,7] |
base_conversion | base_conversion:via-binary | n=119,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1313 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 1, 9, 0 | [3,5,1,9,0] ; [1,3,5,9,0] ; [1,3,5,9,0] ; [0,1,3,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 8, 5, 4 | [4,9,8,5,7] ; [4,5,8,9,7] ; [4,5,7,9,8] ; [4,5,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 549+428 | d2:9+8+0=17→w7,c1 ; d1:4+2+1=7→w7,c0 ; d0:5+4+0=9→w9,c0 ; sum=977 |
multidigit_addition | multidigit_addition:rounding-decomposition | 101+963 | round:110+963=1073 ; adjust:1073-9=1064 ; sum=1064 |
base_conversion | base_conversion:repeated-division | n=193,base=8 | DIV:193/8=24,r:1 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:301 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-45=-45 | 9x-45=-45 ; x+-5=-5 ; x=-5--5 ; x=0 |
list_summation | list_summation:pairwise | 3, 0, 8, 1 | 3+0=3 ; 8+1=9 ; 3+9=12 |
base_conversion | base_conversion:repeated-division | n=110,base=2 | 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:1101110 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 1, 9, 4, 7 | [1,2,9,4,7] ; [1,2,4,9,7] ; [1,2,4,7,9] |
base_conversion | base_conversion:decomposition | n=117,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1110101 |
base_conversion | base_conversion:via-binary | n=188,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:12 ; OUT:BC |
list_summation | list_summation:right-to-left | 2, 0, 7, 1 | 7+1=8 ; 0+8=8 ; 2+8=10 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 8, 3, 5 | [1,6,3,8,5] ; [1,3,6,8,5] ; [1,3,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
list_summation | list_summation:pairwise | 8, 0, 1, 7 | 8+0=8 ; 1+7=8 ; 8+8=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 573+591 | round:580+591=1171 ; adjust:1171-7=1164 ; sum=1164 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 0, 7, 8 | [1,4,0,7,8] ; [1,0,4,7,8] ; [0,1,4,7,8] |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=16 | 8x+72=16 ; x+9=2 ; x=2-9 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 566+475 | d2:6+5+0=11→w1,c1 ; d1:6+7+1=14→w4,c1 ; d0:5+4+1=10→w0,c1 ; sum=1041 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=25 | 5x-15=25 ; 5x=40 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-24=-28 | 4x-24=-28 ; 4x=-4 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=151,base=8 | DIV:151/8=18,r:7 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:227 |
base_conversion | base_conversion:via-binary | n=221,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3131 |
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