task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 780+981 | d2:0+1+0=1→w1,c0 ; d1:8+8+0=16→w6,c1 ; d0:7+9+1=17→w7,c1 ; sum=1761 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-24=-66 | 6x-24=-66 ; x=(-66--24)/6 ; x=-42/6 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=14 | 7x+42=14 ; x+6=2 ; x=2-6 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 178+668 | round:180+668=848 ; adjust:848-2=846 ; sum=846 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,4) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=2,base=16 | DIV:2/16=0,r:2 ; OUT:2 |
base_conversion | base_conversion:repeated-division | n=141,base=16 | DIV:141/16=8,r:13 ; DIV:8/16=0,r:8 ; OUT:8D |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=-20 | 4x-16=-20 ; 4x=-4 ; x=-1 |
list_summation | list_summation:right-to-left | 0, 7, 1, 4 | 1+4=5 ; 7+5=12 ; 0+12=12 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 0, 8, 3 | [2,4,0,8,3] ; [0,2,4,8,3] ; [0,2,4,8,3] ; [0,2,3,4,8] |
list_summation | list_summation:left-to-right | 1, 8, 9, 4 | 1+8=9 ; 9+9=18 ; 18+4=22 |
base_conversion | base_conversion:repeated-division | n=198,base=2 | DIV:198/2=99,r:0 ; DIV:99/2=49,r:1 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; 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:11000110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 731+101 | p100:700+100=800 ; p10:30+0=30 ; p1:1+1=2 ; sum=800+30+2=832 |
list_summation | list_summation:right-to-left | 9, 7, 8, 5 | 8+5=13 ; 7+13=20 ; 9+20=29 |
multidigit_addition | multidigit_addition:right-to-left-carry | 890+399 | d2:0+9+0=9→w9,c0 ; d1:9+9+0=18→w8,c1 ; d0:8+3+1=12→w2,c1 ; sum=1289 |
multidigit_addition | multidigit_addition:left-to-right-partials | 600+651 | p100:600+600=1200 ; p10:0+50=50 ; p1:0+1=1 ; sum=1200+50+1=1251 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 6, 5, 2 | [1,7,5,6,2] ; [1,5,6,7,2] ; [1,2,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-32=-20 | 4x-32=-20 ; x+-8=-5 ; x=-5--8 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 455+989 | d2:5+9+0=14→w4,c1 ; d1:5+8+1=14→w4,c1 ; d0:4+9+1=14→w4,c1 ; sum=1444 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=-63 | 9x+0=-63 ; 9x=-63 ; x=-7 |
list_summation | list_summation:pairwise | 0, 5, 6, 3 | 0+5=5 ; 6+3=9 ; 5+9=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=9 | 9x-45=9 ; x=(9--45)/9 ; x=54/9 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 870+815 | d2:0+5+0=5→w5,c0 ; d1:7+1+0=8→w8,c0 ; d0:8+8+0=16→w6,c1 ; sum=1685 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=40 | 4x+4=40 ; x+1=10 ; x=10-1 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=-14 | 7x-14=-14 ; 7x=0 ; x=0 |
base_conversion | base_conversion:repeated-division | n=196,base=16 | DIV:196/16=12,r:4 ; DIV:12/16=0,r:12 ; OUT:C4 |
base_conversion | base_conversion:decomposition | n=241,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:3301 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 7, 4, 9 | [1,6,7,4,9] ; [1,6,7,4,9] ; [1,4,6,7,9] ; [1,4,6,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 883+916 | d2:3+6+0=9→w9,c0 ; d1:8+1+0=9→w9,c0 ; d0:8+9+0=17→w7,c1 ; sum=1799 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 0, 9, 7, 3 | [1,7,9,0,3] ; [9,7,1,0,3] ; [3,7,1,0,9] ; [7,3,1,0,9] ; [0,3,1,7,9] ; [3,0,1,7,9] ; [1,0,3,7,9] ; [0,1,3,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 127+253 | round:130+253=383 ; adjust:383-3=380 ; sum=380 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+54=27 | 9x+54=27 ; x=(27-54)/9 ; x=-27/9 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 9, 1, 3 | [4,5,9,1,3] ; [4,5,9,1,3] ; [1,4,5,9,3] ; [1,3,4,5,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 778+519 | round:780+519=1299 ; adjust:1299-2=1297 ; sum=1297 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-36 | 6x+12=-36 ; x+2=-6 ; x=-6-2 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 891+414 | round:900+414=1314 ; adjust:1314-9=1305 ; sum=1305 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 5, 3, 7 | [1,5,6,3,7] ; [1,5,3,6,7] ; [1,3,5,6,7] |
list_summation | list_summation:right-to-left | 0, 6, 2, 9 | 2+9=11 ; 6+11=17 ; 0+17=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 521+488 | d2:1+8+0=9→w9,c0 ; d1:2+8+0=10→w0,c1 ; d0:5+4+1=10→w0,c1 ; sum=1009 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=0 | 2x+0=0 ; 2x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,5) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 657+179 | p100:600+100=700 ; p10:50+70=120 ; p1:7+9=16 ; sum=700+120+16=836 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 8, 0, 9 | [2,7,0,8,9] ; [2,0,7,8,9] ; [0,2,7,8,9] |
base_conversion | base_conversion:decomposition | n=74,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:1022 |
list_summation | list_summation:pairwise | 6, 3, 7, 2 | 6+3=9 ; 7+2=9 ; 9+9=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 4, 1, 0 | [0,5,4,1,3] ; [0,1,4,5,3] ; [0,1,3,5,4] ; [0,1,3,4,5] |
list_summation | list_summation:pairwise | 8, 2, 5, 7 | 8+2=10 ; 5+7=12 ; 10+12=22 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 8, 5, 0 | [3,7,8,5,0] ; [3,7,8,5,0] ; [3,5,7,8,0] ; [0,3,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 520+524 | round:520+524=1044 ; adjust:1044-0=1044 ; sum=1044 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 696+435 | round:700+435=1135 ; adjust:1135-4=1131 ; sum=1131 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=-8 | 4x+12=-8 ; x+3=-2 ; x=-2-3 ; x=-5 |
base_conversion | base_conversion:decomposition | n=26,base=16 | TERM:1*16^1=16 ; TERM:10*16^0=10 ; OUT:1A |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=56 | 4x+20=56 ; 4x=36 ; x=9 |
base_conversion | base_conversion:decomposition | n=69,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:1011 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 1, 3, 2, 8 | [1,5,3,2,8] ; [1,5,2,3,8] ; [1,2,3,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 683+122 | p100:600+100=700 ; p10:80+20=100 ; p1:3+2=5 ; sum=700+100+5=805 |
list_summation | list_summation:left-to-right | 1, 1, 3, 8 | 1+1=2 ; 2+3=5 ; 5+8=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+54=18 | 6x+54=18 ; x=(18-54)/6 ; x=-36/6 ; x=-6 |
base_conversion | base_conversion:via-binary | n=246,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:6 ; OUT:F6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=14,base=16 | DIV:14/16=0,r:14 ; OUT:E |
multidigit_addition | multidigit_addition:right-to-left-carry | 445+652 | d2:5+2+0=7→w7,c0 ; d1:4+5+0=9→w9,c0 ; d0:4+6+0=10→w0,c1 ; sum=1097 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 882+203 | p100:800+200=1000 ; p10:80+0=80 ; p1:2+3=5 ; sum=1000+80+5=1085 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=-8 | 4x+12=-8 ; x=(-8-12)/4 ; x=-20/4 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 1, 7, 9 | [6,8,1,7,9] ; [1,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-9 | 3x-27=-9 ; 3x=18 ; x=6 |
base_conversion | base_conversion:decomposition | n=71,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1000111 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 1, 0, 8 | [3,5,1,0,8] ; [1,3,5,0,8] ; [0,1,3,5,8] ; [0,1,3,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-4=28 | 4x-4=28 ; x=(28--4)/4 ; x=32/4 ; x=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 9, 2, 8 | [4,6,9,2,8] ; [4,6,2,9,8] ; [4,6,2,8,9] ; [4,2,6,8,9] ; [2,4,6,8,9] |
list_summation | list_summation:left-to-right | 1, 8, 4, 2 | 1+8=9 ; 9+4=13 ; 13+2=15 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 5, 6, 9 | [3,9,5,6,7] ; [9,3,5,6,7] ; [9,7,5,6,3] ; [3,7,5,6,9] ; [7,3,5,6,9] ; [7,6,5,3,9] ; [3,6,5,7,9] ; [6,3,5,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+0=-24 | 6x+0=-24 ; x+0=-4 ; x=-4-0 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 809+539 | p100:800+500=1300 ; p10:0+30=30 ; p1:9+9=18 ; sum=1300+30+18=1348 |
base_conversion | base_conversion:via-binary | n=199,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:7 ; OUT:307 |
list_summation | list_summation:left-to-right | 1, 0, 1, 5 | 1+0=1 ; 1+1=2 ; 2+5=7 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 4, 0, 6 | [3,9,4,0,6] ; [3,9,0,4,6] ; [0,3,4,9,6] ; [0,3,4,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 982+988 | p100:900+900=1800 ; p10:80+80=160 ; p1:2+8=10 ; sum=1800+160+10=1970 |
multidigit_addition | multidigit_addition:right-to-left-carry | 486+472 | d2:6+2+0=8→w8,c0 ; d1:8+7+0=15→w5,c1 ; d0:4+4+1=9→w9,c0 ; sum=958 |
list_summation | list_summation:left-to-right | 3, 4, 3, 3 | 3+4=7 ; 7+3=10 ; 10+3=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 256+317 | d2:6+7+0=13→w3,c1 ; d1:5+1+1=7→w7,c0 ; d0:2+3+0=5→w5,c0 ; sum=573 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-40=-88 | 8x-40=-88 ; x+-5=-11 ; x=-11--5 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=52 | 4x+24=52 ; x=(52-24)/4 ; x=28/4 ; x=7 |
base_conversion | base_conversion:via-binary | n=44,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-10 | 5x-30=-10 ; x=(-10--30)/5 ; x=20/5 ; x=4 |
list_summation | list_summation:right-to-left | 2, 2, 8, 0 | 8+0=8 ; 2+8=10 ; 2+10=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 4, 3, 6 | [2,5,3,4,6] ; [2,3,4,5,6] |
base_conversion | base_conversion:via-binary | n=30,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:14 ; OUT:1E |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 7, 2, 6, 9 | [1,9,2,6,7] ; [9,1,2,6,7] ; [9,7,2,6,1] ; [1,7,2,6,9] ; [7,1,2,6,9] ; [7,6,2,1,9] ; [1,6,2,7,9] ; [6,1,2,7,9] ; [2,1,6,7,9] ; [1,2,6,7,9] |
base_conversion | base_conversion:repeated-division | n=37,base=4 | DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:211 |
multidigit_addition | multidigit_addition:right-to-left-carry | 856+155 | d2:6+5+0=11→w1,c1 ; d1:5+5+1=11→w1,c1 ; d0:8+1+1=10→w0,c1 ; sum=1011 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 5, 6, 9 | [2,3,5,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 351+847 | p100:300+800=1100 ; p10:50+40=90 ; p1:1+7=8 ; sum=1100+90+8=1198 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 9, 0, 7 | [5,6,0,9,7] ; [5,6,0,7,9] ; [5,0,6,7,9] ; [0,5,6,7,9] |
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