task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 672+989 | p100:600+900=1500 ; p10:70+80=150 ; p1:2+9=11 ; sum=1500+150+11=1661 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 9, 6, 5, 7 | [9,4,6,5,7] ; [9,7,6,5,4] ; [4,7,6,5,9] ; [7,4,6,5,9] ; [7,5,6,4,9] ; [4,5,6,7,9] ; [6,5,4,7,9] ; [4,5,6,7,9] ; [5,4,6,7,9] ; [4,5,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 601+372 | round:610+372=982 ; adjust:982-9=973 ; sum=973 |
base_conversion | base_conversion:repeated-division | n=140,base=2 | DIV:140/2=70,r:0 ; DIV:70/2=35,r:0 ; 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:10001100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; D:(1,4) ; R:(1,5) |
base_conversion | base_conversion:decomposition | n=169,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:2221 |
list_summation | list_summation:right-to-left | 0, 8, 1, 5 | 1+5=6 ; 8+6=14 ; 0+14=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 592+183 | d2:2+3+0=5→w5,c0 ; d1:9+8+0=17→w7,c1 ; d0:5+1+1=7→w7,c0 ; sum=775 |
multidigit_addition | multidigit_addition:right-to-left-carry | 751+920 | d2:1+0+0=1→w1,c0 ; d1:5+2+0=7→w7,c0 ; d0:7+9+0=16→w6,c1 ; sum=1671 |
multidigit_addition | multidigit_addition:right-to-left-carry | 615+441 | d2:5+1+0=6→w6,c0 ; d1:1+4+0=5→w5,c0 ; d0:6+4+0=10→w0,c1 ; sum=1056 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=-35 | 5x+0=-35 ; x=(-35-0)/5 ; x=-35/5 ; x=-7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 0, 3, 2 | [4,0,9,3,2] ; [4,0,3,9,2] ; [4,0,3,2,9] ; [0,4,3,2,9] ; [0,3,4,2,9] ; [0,3,2,4,9] ; [0,2,3,4,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 562+770 | p100:500+700=1200 ; p10:60+70=130 ; p1:2+0=2 ; sum=1200+130+2=1332 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 3, 7, 1 | [8,5,3,7,1] ; [8,7,3,5,1] ; [1,7,3,5,8] ; [7,1,3,5,8] ; [7,5,3,1,8] ; [1,5,3,7,8] ; [5,1,3,7,8] ; [3,1,5,7,8] ; [1,3,5,7,8] |
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:subtract-then-divide | 4x+36=28 | 4x+36=28 ; 4x=-8 ; x=-2 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 6, 0, 4 | [8,1,6,0,4] ; [8,4,6,0,1] ; [1,4,6,0,8] ; [6,4,1,0,8] ; [0,4,1,6,8] ; [4,0,1,6,8] ; [1,0,4,6,8] ; [0,1,4,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 319+507 | d2:9+7+0=16→w6,c1 ; d1:1+0+1=2→w2,c0 ; d0:3+5+0=8→w8,c0 ; sum=826 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 7, 3, 4, 1 | [1,7,3,4,9] ; [1,3,7,4,9] ; [1,3,4,7,9] ; [1,3,4,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=-63 | 7x-21=-63 ; x+-3=-9 ; x=-9--3 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 943+534 | round:950+534=1484 ; adjust:1484-7=1477 ; sum=1477 |
base_conversion | base_conversion:via-binary | n=62,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:332 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 4, 6, 2, 7 | [5,7,6,2,4] ; [7,5,6,2,4] ; [4,5,6,2,7] ; [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:repeated-division | n=88,base=8 | DIV:88/8=11,r:0 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:130 |
list_summation | list_summation:pairwise | 9, 3, 5, 2 | 9+3=12 ; 5+2=7 ; 12+7=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 2, 5, 8 | [4,9,2,5,8] ; [2,4,5,9,8] ; [2,4,5,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 8, 5, 1 | [0,7,8,5,1] ; [0,7,5,8,1] ; [0,7,5,1,8] ; [0,5,7,1,8] ; [0,5,1,7,8] ; [0,1,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 1, 6, 7 | [1,5,6,9,7] ; [1,5,6,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 5, 0, 4 | [0,3,5,1,4] ; [0,1,5,3,4] ; [0,1,3,5,4] ; [0,1,3,4,5] |
list_summation | list_summation:left-to-right | 2, 4, 7, 0 | 2+4=6 ; 6+7=13 ; 13+0=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-56=-72 | 8x-56=-72 ; x+-7=-9 ; x=-9--7 ; x=-2 |
base_conversion | base_conversion:decomposition | n=87,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1010111 |
list_summation | list_summation:right-to-left | 4, 2, 0, 3 | 0+3=3 ; 2+3=5 ; 4+5=9 |
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 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=-30 | 6x+12=-30 ; x=(-30-12)/6 ; x=-42/6 ; x=-7 |
list_summation | list_summation:left-to-right | 2, 3, 3, 5 | 2+3=5 ; 5+3=8 ; 8+5=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=-16 | 2x-6=-16 ; 2x=-10 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 263+227 | p100:200+200=400 ; p10:60+20=80 ; p1:3+7=10 ; sum=400+80+10=490 |
base_conversion | base_conversion:decomposition | n=155,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011011 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 1, 5, 2 | [0,6,1,5,2] ; [0,1,5,6,2] ; [0,1,2,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 681+604 | round:690+604=1294 ; adjust:1294-9=1285 ; sum=1285 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=-24 | 2x-8=-24 ; 2x=-16 ; x=-8 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 5, 2, 9 | [1,4,5,2,9] ; [1,2,5,4,9] ; [1,2,4,5,9] ; [1,2,4,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 971+461 | d2:1+1+0=2→w2,c0 ; d1:7+6+0=13→w3,c1 ; d0:9+4+1=14→w4,c1 ; sum=1432 |
list_summation | list_summation:left-to-right | 3, 8, 7, 2 | 3+8=11 ; 11+7=18 ; 18+2=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=26 | 2x+16=26 ; x+8=13 ; x=13-8 ; x=5 |
list_summation | list_summation:left-to-right | 6, 5, 3, 5 | 6+5=11 ; 11+3=14 ; 14+5=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 818+256 | p100:800+200=1000 ; p10:10+50=60 ; p1:8+6=14 ; sum=1000+60+14=1074 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 6, 4, 0, 8 | [6,9,4,0,8] ; [6,9,0,4,8] ; [0,4,6,9,8] ; [0,4,6,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 5, 8, 7 | [3,5,6,8,7] ; [3,5,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=-3 | 3x-12=-3 ; x+-4=-1 ; x=-1--4 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 6, 1, 3 | [5,9,1,6,3] ; [1,5,6,9,3] ; [1,3,5,6,9] |
list_summation | list_summation:left-to-right | 7, 0, 9, 9 | 7+0=7 ; 7+9=16 ; 16+9=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=5 | 5x+0=5 ; x=(5-0)/5 ; x=5/5 ; x=1 |
base_conversion | base_conversion:via-binary | n=248,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11111000 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,5) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:repeated-division | n=145,base=4 | DIV:145/4=36,r:1 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2101 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 9, 6, 7 | [0,7,9,6,4] ; [9,7,0,6,4] ; [4,7,0,6,9] ; [7,4,0,6,9] ; [7,6,0,4,9] ; [4,6,0,7,9] ; [6,4,0,7,9] ; [0,4,6,7,9] ; [4,0,6,7,9] ; [0,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=240,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:3300 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 6, 9, 3 | [1,9,6,8,3] ; [9,1,6,8,3] ; [9,8,6,1,3] ; [3,8,6,1,9] ; [8,3,6,1,9] ; [1,3,6,8,9] ; [6,3,1,8,9] ; [1,3,6,8,9] ; [3,1,6,8,9] ; [1,3,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 626+970 | d2:6+0+0=6→w6,c0 ; d1:2+7+0=9→w9,c0 ; d0:6+9+0=15→w5,c1 ; sum=1596 |
base_conversion | base_conversion:repeated-division | n=120,base=4 | DIV:120/4=30,r:0 ; DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1320 |
list_summation | list_summation:right-to-left | 7, 9, 5, 0 | 5+0=5 ; 9+5=14 ; 7+14=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 318+711 | round:320+711=1031 ; adjust:1031-2=1029 ; sum=1029 |
base_conversion | base_conversion:decomposition | n=164,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:244 |
base_conversion | base_conversion:decomposition | n=205,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11001101 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 4, 8, 0 | [1,5,4,8,0] ; [1,4,5,8,0] ; [1,4,5,8,0] ; [0,1,4,5,8] |
base_conversion | base_conversion:via-binary | n=103,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1100111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=96 | 8x+64=96 ; x=(96-64)/8 ; x=32/8 ; x=4 |
list_summation | list_summation:pairwise | 6, 3, 1, 6 | 6+3=9 ; 1+6=7 ; 9+7=16 |
base_conversion | base_conversion:repeated-division | n=30,base=4 | DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:132 |
multidigit_addition | multidigit_addition:right-to-left-carry | 141+520 | d2:1+0+0=1→w1,c0 ; d1:4+2+0=6→w6,c0 ; d0:1+5+0=6→w6,c0 ; sum=661 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 7, 4, 1 | [2,3,4,7,1] ; [1,2,3,4,7] |
list_summation | list_summation:right-to-left | 0, 0, 2, 4 | 2+4=6 ; 0+6=6 ; 0+6=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-30 | 5x-20=-30 ; x+-4=-6 ; x=-6--4 ; x=-2 |
base_conversion | base_conversion:via-binary | n=102,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1100110 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 6, 7, 0, 8 | [6,9,7,0,8] ; [6,9,0,7,8] ; [0,6,7,9,8] ; [0,6,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 520+697 | p100:500+600=1100 ; p10:20+90=110 ; p1:0+7=7 ; sum=1100+110+7=1217 |
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 |
multidigit_addition | multidigit_addition:left-to-right-partials | 328+829 | p100:300+800=1100 ; p10:20+20=40 ; p1:8+9=17 ; sum=1100+40+17=1157 |
base_conversion | base_conversion:repeated-division | n=235,base=16 | DIV:235/16=14,r:11 ; DIV:14/16=0,r:14 ; OUT:EB |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 6, 1, 2 | [9,7,6,1,2] ; [2,7,6,1,9] ; [7,2,6,1,9] ; [1,2,6,7,9] ; [6,2,1,7,9] ; [1,2,6,7,9] ; [2,1,6,7,9] ; [1,2,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 724+664 | p100:700+600=1300 ; p10:20+60=80 ; p1:4+4=8 ; sum=1300+80+8=1388 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 694+286 | p100:600+200=800 ; p10:90+80=170 ; p1:4+6=10 ; sum=800+170+10=980 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-81 | 9x-63=-81 ; x+-7=-9 ; x=-9--7 ; x=-2 |
base_conversion | base_conversion:via-binary | n=9,base=4 | BINLEN:4 ; CHUNK:0:2 ; CHUNK:1:1 ; OUT:21 |
list_summation | list_summation:pairwise | 4, 3, 5, 7 | 4+3=7 ; 5+7=12 ; 7+12=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=4 | 2x-12=4 ; 2x=16 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 7, 6, 0, 4 | 0+4=4 ; 6+4=10 ; 7+10=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=-36 | 9x-9=-36 ; 9x=-27 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=67,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:103 |
base_conversion | base_conversion:repeated-division | n=163,base=2 | DIV:163/2=81,r:1 ; DIV:81/2=40,r:1 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; 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:10100011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 875+269 | round:880+269=1149 ; adjust:1149-5=1144 ; sum=1144 |
list_summation | list_summation:right-to-left | 1, 0, 8, 9 | 8+9=17 ; 0+17=17 ; 1+17=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=12 | 4x-4=12 ; 4x=16 ; x=4 |
list_summation | list_summation:right-to-left | 9, 8, 4, 4 | 4+4=8 ; 8+8=16 ; 9+16=25 |
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