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:inverse-ops | 6x-6=-42 | 6x-6=-42 ; x=(-42--6)/6 ; x=-36/6 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+36=0 | 6x+36=0 ; x+6=0 ; x=0-6 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 0, 5, 8 | [1,0,7,5,8] ; [1,0,5,7,8] ; [0,1,5,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-20=0 | 5x-20=0 ; 5x=20 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 6, 7, 8 | [4,8,6,7,2] ; [8,4,6,7,2] ; [8,7,6,4,2] ; [2,7,6,4,8] ; [7,2,6,4,8] ; [7,4,6,2,8] ; [2,4,6,7,8] ; [6,4,2,7,8] ; [2,4,6,7,8] ; [4,2,6,7,8] ; [2,4,6,7,8] |
base_conversion | base_conversion:decomposition | n=127,base=16 | TERM:7*16^1=112 ; TERM:15*16^0=15 ; OUT:7F |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=5,base=8 | DIV:5/8=0,r:5 ; OUT:5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 199+444 | round:200+444=644 ; adjust:644-1=643 ; sum=643 |
base_conversion | base_conversion:decomposition | n=43,base=16 | TERM:2*16^1=32 ; TERM:11*16^0=11 ; OUT:2B |
multidigit_addition | multidigit_addition:right-to-left-carry | 858+157 | d2:8+7+0=15→w5,c1 ; d1:5+5+1=11→w1,c1 ; d0:8+1+1=10→w0,c1 ; sum=1015 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+48=96 | 8x+48=96 ; 8x=48 ; x=6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 1, 0, 7 | [3,4,1,0,7] ; [1,3,4,0,7] ; [0,1,3,4,7] ; [0,1,3,4,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(1,5) | D:(1,3) ; R:(1,4) ; R:(1,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=96 | 6x+48=96 ; x=(96-48)/6 ; x=48/6 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 209+873 | d2:9+3+0=12→w2,c1 ; d1:0+7+1=8→w8,c0 ; d0:2+8+0=10→w0,c1 ; sum=1082 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,3) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,1) | R:(1,1) ; D:(2,1) ; D:(3,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-30=15 | 5x-30=15 ; x+-6=3 ; x=3--6 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 628+626 | round:630+626=1256 ; adjust:1256-2=1254 ; sum=1254 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 8, 2, 4 | [4,5,8,2,9] ; [8,5,4,2,9] ; [2,5,4,8,9] ; [5,2,4,8,9] ; [4,2,5,8,9] ; [2,4,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 298+263 | p100:200+200=400 ; p10:90+60=150 ; p1:8+3=11 ; sum=400+150+11=561 |
list_summation | list_summation:left-to-right | 7, 6, 8, 0 | 7+6=13 ; 13+8=21 ; 21+0=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+18=60 | 6x+18=60 ; x=(60-18)/6 ; x=42/6 ; x=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,4) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 9, 5, 2, 6 | [9,3,5,2,6] ; [9,6,5,2,3] ; [3,6,5,2,9] ; [6,3,5,2,9] ; [2,3,5,6,9] ; [5,3,2,6,9] ; [2,3,5,6,9] ; [3,2,5,6,9] ; [2,3,5,6,9] |
base_conversion | base_conversion:via-binary | n=33,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:100001 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 7, 1, 6, 8 | [1,7,2,6,8] ; [1,2,7,6,8] ; [1,2,6,7,8] ; [1,2,6,7,8] |
base_conversion | base_conversion:repeated-division | n=104,base=8 | DIV:104/8=13,r:0 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:150 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 0, 9, 2 | [6,8,0,9,2] ; [0,6,8,9,2] ; [0,6,8,9,2] ; [0,2,6,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 0, 6, 7 | [0,9,2,6,7] ; [0,2,9,6,7] ; [0,2,6,9,7] ; [0,2,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=-25 | 5x+15=-25 ; x=(-25-15)/5 ; x=-40/5 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=177,base=4 | DIV:177/4=44,r:1 ; DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2301 |
multidigit_addition | multidigit_addition:left-to-right-partials | 251+202 | p100:200+200=400 ; p10:50+0=50 ; p1:1+2=3 ; sum=400+50+3=453 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-8=0 | 4x-8=0 ; 4x=8 ; x=2 |
list_summation | list_summation:pairwise | 0, 3, 1, 9 | 0+3=3 ; 1+9=10 ; 3+10=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-88 | 8x-48=-88 ; x+-6=-11 ; x=-11--6 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 200+494 | round:200+494=694 ; adjust:694-0=694 ; sum=694 |
multidigit_addition | multidigit_addition:right-to-left-carry | 816+830 | d2:6+0+0=6→w6,c0 ; d1:1+3+0=4→w4,c0 ; d0:8+8+0=16→w6,c1 ; sum=1646 |
multidigit_addition | multidigit_addition:rounding-decomposition | 288+257 | round:290+257=547 ; adjust:547-2=545 ; sum=545 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,4) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:decomposition | n=95,base=16 | TERM:5*16^1=80 ; TERM:15*16^0=15 ; OUT:5F |
list_summation | list_summation:left-to-right | 2, 7, 0, 1 | 2+7=9 ; 9+0=9 ; 9+1=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 545+991 | p100:500+900=1400 ; p10:40+90=130 ; p1:5+1=6 ; sum=1400+130+6=1536 |
multidigit_addition | multidigit_addition:left-to-right-partials | 841+981 | p100:800+900=1700 ; p10:40+80=120 ; p1:1+1=2 ; sum=1700+120+2=1822 |
multidigit_addition | multidigit_addition:rounding-decomposition | 532+149 | round:540+149=689 ; adjust:689-8=681 ; sum=681 |
base_conversion | base_conversion:repeated-division | n=102,base=4 | DIV:102/4=25,r:2 ; DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1212 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-72=-112 | 8x-72=-112 ; 8x=-40 ; x=-5 |
list_summation | list_summation:pairwise | 8, 0, 4, 6 | 8+0=8 ; 4+6=10 ; 8+10=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,4) | D:(2,3) ; D:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 1, 2, 5 | [0,4,1,2,5] ; [0,1,4,2,5] ; [0,1,2,4,5] ; [0,1,2,4,5] |
list_summation | list_summation:pairwise | 6, 3, 5, 6 | 6+3=9 ; 5+6=11 ; 9+11=20 |
base_conversion | base_conversion:repeated-division | n=219,base=2 | DIV:219/2=109,r:1 ; DIV:109/2=54,r:1 ; DIV:54/2=27,r:0 ; 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:11011011 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 2, 1, 5 | [1,6,2,7,5] ; [1,2,6,7,5] ; [1,2,5,7,6] ; [1,2,5,6,7] |
base_conversion | base_conversion:decomposition | n=180,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:2310 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+63=14 | 7x+63=14 ; 7x=-49 ; x=-7 |
list_summation | list_summation:left-to-right | 2, 2, 1, 7 | 2+2=4 ; 4+1=5 ; 5+7=12 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 6, 8, 5 | [0,4,6,5,8] ; [0,4,5,6,8] |
base_conversion | base_conversion:repeated-division | n=155,base=16 | DIV:155/16=9,r:11 ; DIV:9/16=0,r:9 ; OUT:9B |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 7, 9, 1 | [5,9,7,0,1] ; [9,5,7,0,1] ; [1,5,7,0,9] ; [7,5,1,0,9] ; [0,5,1,7,9] ; [5,0,1,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=-5 | 5x+10=-5 ; x=(-5-10)/5 ; x=-15/5 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 3, 5, 9 | [6,9,3,5,1] ; [9,6,3,5,1] ; [1,6,3,5,9] ; [6,1,3,5,9] ; [6,5,3,1,9] ; [1,5,3,6,9] ; [5,1,3,6,9] ; [3,1,5,6,9] ; [1,3,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 978+971 | d2:8+1+0=9→w9,c0 ; d1:7+7+0=14→w4,c1 ; d0:9+9+1=19→w9,c1 ; sum=1949 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 3, 7, 4 | [6,7,3,2,4] ; [7,6,3,2,4] ; [4,6,3,2,7] ; [6,4,3,2,7] ; [2,4,3,6,7] ; [4,2,3,6,7] ; [3,2,4,6,7] ; [2,3,4,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 439+257 | round:440+257=697 ; adjust:697-1=696 ; sum=696 |
base_conversion | base_conversion:repeated-division | n=142,base=2 | DIV:142/2=71,r:0 ; DIV:71/2=35,r:1 ; DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; 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:10001110 |
list_summation | list_summation:pairwise | 3, 8, 0, 9 | 3+8=11 ; 0+9=9 ; 11+9=20 |
base_conversion | base_conversion:repeated-division | n=163,base=16 | DIV:163/16=10,r:3 ; DIV:10/16=0,r:10 ; OUT:A3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 5, 4, 0, 2 | 5+4=9 ; 9+0=9 ; 9+2=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-96 | 8x-24=-96 ; x=(-96--24)/8 ; x=-72/8 ; x=-9 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 8, 2, 3 | [1,9,8,2,3] ; [1,9,2,8,3] ; [1,2,8,9,3] ; [1,2,3,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-24=-30 | 6x-24=-30 ; x+-4=-5 ; x=-5--4 ; x=-1 |
base_conversion | base_conversion:via-binary | n=207,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:15 ; OUT:CF |
base_conversion | base_conversion:repeated-division | n=126,base=2 | DIV:126/2=63,r:0 ; DIV:63/2=31,r:1 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111110 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-20 | 4x-32=-20 ; 4x=12 ; x=3 |
base_conversion | base_conversion:repeated-division | n=12,base=2 | 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:1100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 638+722 | round:640+722=1362 ; adjust:1362-2=1360 ; sum=1360 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-72 | 4x-36=-72 ; 4x=-36 ; x=-9 |
list_summation | list_summation:right-to-left | 1, 7, 1, 3 | 1+3=4 ; 7+4=11 ; 1+11=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 7, 4, 0 | [9,4,7,3,0] ; [0,4,7,3,9] ; [7,4,0,3,9] ; [3,4,0,7,9] ; [4,3,0,7,9] ; [0,3,4,7,9] ; [3,0,4,7,9] ; [0,3,4,7,9] |
base_conversion | base_conversion:decomposition | n=41,base=8 | TERM:5*8^1=40 ; TERM:1*8^0=1 ; OUT:51 |
list_summation | list_summation:left-to-right | 7, 7, 6, 9 | 7+7=14 ; 14+6=20 ; 20+9=29 |
base_conversion | base_conversion:decomposition | n=10,base=4 | TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:22 |
list_summation | list_summation:right-to-left | 9, 6, 2, 9 | 2+9=11 ; 6+11=17 ; 9+17=26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 162+518 | d2:2+8+0=10→w0,c1 ; d1:6+1+1=8→w8,c0 ; d0:1+5+0=6→w6,c0 ; sum=680 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=-10 | 5x+25=-10 ; x+5=-2 ; x=-2-5 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-18=-6 | 2x-18=-6 ; x=(-6--18)/2 ; x=12/2 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=0 | 6x+54=0 ; x=(0-54)/6 ; x=-54/6 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(4,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 2, 1, 4 | [4,5,2,1,6] ; [5,4,2,1,6] ; [1,4,2,5,6] ; [4,1,2,5,6] ; [2,1,4,5,6] ; [1,2,4,5,6] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 6, 4, 3 | [3,7,6,4,9] ; [7,3,6,4,9] ; [7,4,6,3,9] ; [3,4,6,7,9] ; [6,4,3,7,9] ; [3,4,6,7,9] ; [4,3,6,7,9] ; [3,4,6,7,9] |
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:decomposition | n=236,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:4*8^0=4 ; OUT:354 |
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