task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 1, 5, 9, 4 | 1+5=6 ; 9+4=13 ; 6+13=19 |
base_conversion | base_conversion:decomposition | n=52,base=8 | TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:64 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 4, 0, 8 | [2,8,4,0,6] ; [8,2,4,0,6] ; [8,6,4,0,2] ; [2,6,4,0,8] ; [6,2,4,0,8] ; [0,2,4,6,8] ; [4,2,0,6,8] ; [0,2,4,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=5 | 5x-35=5 ; x+-7=1 ; x=1--7 ; x=8 |
list_summation | list_summation:right-to-left | 5, 5, 3, 3 | 3+3=6 ; 5+6=11 ; 5+11=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 0, 8, 7 | [0,1,6,8,7] ; [0,1,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 2, 4, 7 | [0,6,2,4,7] ; [0,2,6,4,7] ; [0,2,4,6,7] ; [0,2,4,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 8, 9, 5 | [1,4,8,9,5] ; [1,4,5,8,9] |
base_conversion | base_conversion:decomposition | n=250,base=8 | TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:2*8^0=2 ; OUT:372 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+2=6 | 2x+2=6 ; x=(6-2)/2 ; x=4/2 ; x=2 |
base_conversion | base_conversion:via-binary | n=61,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:5 ; OUT:75 |
base_conversion | base_conversion:repeated-division | n=215,base=16 | DIV:215/16=13,r:7 ; DIV:13/16=0,r:13 ; OUT:D7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 904+177 | round:910+177=1087 ; adjust:1087-6=1081 ; sum=1081 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 0, 8, 3 | [1,9,0,8,3] ; [0,1,9,8,3] ; [0,1,8,9,3] ; [0,1,3,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 4, 5, 0, 2 | [4,6,5,0,2] ; [4,6,0,5,2] ; [0,4,5,6,2] ; [0,2,4,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
base_conversion | base_conversion:via-binary | n=47,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:7 ; OUT:57 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=-25 | 5x+10=-25 ; x+2=-5 ; x=-5-2 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 406+996 | d2:6+6+0=12→w2,c1 ; d1:0+9+1=10→w0,c1 ; d0:4+9+1=14→w4,c1 ; sum=1402 |
multidigit_addition | multidigit_addition:right-to-left-carry | 266+390 | d2:6+0+0=6→w6,c0 ; d1:6+9+0=15→w5,c1 ; d0:2+3+1=6→w6,c0 ; sum=656 |
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 |
base_conversion | base_conversion:decomposition | n=118,base=8 | TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:6*8^0=6 ; OUT:166 |
list_summation | list_summation:pairwise | 7, 7, 5, 4 | 7+7=14 ; 5+4=9 ; 14+9=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 569+170 | d2:9+0+0=9→w9,c0 ; d1:6+7+0=13→w3,c1 ; d0:5+1+1=7→w7,c0 ; sum=739 |
list_summation | list_summation:right-to-left | 9, 1, 5, 2 | 5+2=7 ; 1+7=8 ; 9+8=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 340+253 | round:340+253=593 ; adjust:593-0=593 ; sum=593 |
base_conversion | base_conversion:decomposition | n=98,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1100010 |
list_summation | list_summation:pairwise | 9, 8, 3, 3 | 9+8=17 ; 3+3=6 ; 17+6=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=117 | 9x+54=117 ; 9x=63 ; x=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 3, 0, 5 | [4,6,3,0,5] ; [3,4,6,0,5] ; [0,3,4,6,5] ; [0,3,4,5,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 336+627 | p100:300+600=900 ; p10:30+20=50 ; p1:6+7=13 ; sum=900+50+13=963 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 6, 2, 3 | [1,7,6,2,3] ; [1,6,7,2,3] ; [1,6,2,7,3] ; [1,6,2,3,7] ; [1,2,6,3,7] ; [1,2,3,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 527+216 | p100:500+200=700 ; p10:20+10=30 ; p1:7+6=13 ; sum=700+30+13=743 |
base_conversion | base_conversion:via-binary | n=148,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10010100 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(1,3) | D:(1,1) ; R:(1,2) ; R:(1,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 6, 5, 2, 4 | [6,0,5,2,4] ; [6,4,5,2,0] ; [0,4,5,2,6] ; [5,4,0,2,6] ; [2,4,0,5,6] ; [4,2,0,5,6] ; [0,2,4,5,6] ; [2,0,4,5,6] ; [0,2,4,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=40 | 4x+24=40 ; x+6=10 ; x=10-6 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-9=36 | 9x-9=36 ; x=(36--9)/9 ; x=45/9 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-3=-9 | 3x-3=-9 ; x+-1=-3 ; x=-3--1 ; x=-2 |
list_summation | list_summation:right-to-left | 8, 1, 7, 5 | 7+5=12 ; 1+12=13 ; 8+13=21 |
list_summation | list_summation:right-to-left | 0, 5, 7, 1 | 7+1=8 ; 5+8=13 ; 0+13=13 |
base_conversion | base_conversion:via-binary | n=211,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3103 |
list_summation | list_summation:left-to-right | 6, 3, 6, 6 | 6+3=9 ; 9+6=15 ; 15+6=21 |
list_summation | list_summation:pairwise | 9, 6, 4, 6 | 9+6=15 ; 4+6=10 ; 15+10=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 3, 5, 1 | [8,5,3,2,1] ; [1,5,3,2,8] ; [5,1,3,2,8] ; [5,2,3,1,8] ; [1,2,3,5,8] ; [3,2,1,5,8] ; [1,2,3,5,8] ; [2,1,3,5,8] ; [1,2,3,5,8] |
list_summation | list_summation:pairwise | 5, 8, 5, 0 | 5+8=13 ; 5+0=5 ; 13+5=18 |
base_conversion | base_conversion:repeated-division | n=150,base=2 | DIV:150/2=75,r:0 ; DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010110 |
base_conversion | base_conversion:decomposition | n=102,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1100110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-126 | 9x-81=-126 ; x=(-126--81)/9 ; x=-45/9 ; x=-5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=-25 | 5x-5=-25 ; x=(-25--5)/5 ; x=-20/5 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 9, 0, 9, 4 | 9+0=9 ; 9+4=13 ; 9+13=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-12 | 3x-15=-12 ; x+-5=-4 ; x=-4--5 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=161,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2201 |
base_conversion | base_conversion:decomposition | n=147,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:3*8^0=3 ; OUT:223 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-20=8 | 4x-20=8 ; x=(8--20)/4 ; x=28/4 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 1, 1, 7, 2 | 7+2=9 ; 1+9=10 ; 1+10=11 |
base_conversion | base_conversion:decomposition | n=159,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:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011111 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 171+213 | round:180+213=393 ; adjust:393-9=384 ; sum=384 |
multidigit_addition | multidigit_addition:right-to-left-carry | 429+264 | d2:9+4+0=13→w3,c1 ; d1:2+6+1=9→w9,c0 ; d0:4+2+0=6→w6,c0 ; sum=693 |
base_conversion | base_conversion:via-binary | n=104,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1101000 |
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 |
base_conversion | base_conversion:repeated-division | n=255,base=16 | DIV:255/16=15,r:15 ; DIV:15/16=0,r:15 ; OUT:FF |
list_summation | list_summation:left-to-right | 9, 9, 8, 5 | 9+9=18 ; 18+8=26 ; 26+5=31 |
list_summation | list_summation:left-to-right | 0, 6, 7, 6 | 0+6=6 ; 6+7=13 ; 13+6=19 |
list_summation | list_summation:left-to-right | 7, 1, 0, 6 | 7+1=8 ; 8+0=8 ; 8+6=14 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 3, 4, 7 | [2,6,3,4,7] ; [2,3,6,4,7] ; [2,3,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 567+505 | p100:500+500=1000 ; p10:60+0=60 ; p1:7+5=12 ; sum=1000+60+12=1072 |
multidigit_addition | multidigit_addition:rounding-decomposition | 328+709 | round:330+709=1039 ; adjust:1039-2=1037 ; sum=1037 |
base_conversion | base_conversion:via-binary | n=152,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2120 |
multidigit_addition | multidigit_addition:rounding-decomposition | 455+468 | round:460+468=928 ; adjust:928-5=923 ; sum=923 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 9, 5, 3 | [1,2,9,5,3] ; [1,2,9,5,3] ; [1,2,3,5,9] ; [1,2,3,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,5) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 968+412 | round:970+412=1382 ; adjust:1382-2=1380 ; sum=1380 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 3, 6, 9, 0 | [1,3,6,9,0] ; [1,3,6,9,0] ; [1,3,6,9,0] ; [0,1,3,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 715+650 | round:720+650=1370 ; adjust:1370-5=1365 ; sum=1365 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 4, 2, 8 | [3,8,4,2,5] ; [8,3,4,2,5] ; [8,5,4,2,3] ; [3,5,4,2,8] ; [5,3,4,2,8] ; [2,3,4,5,8] ; [4,3,2,5,8] ; [2,3,4,5,8] ; [3,2,4,5,8] ; [2,3,4,5,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
list_summation | list_summation:right-to-left | 3, 6, 9, 3 | 9+3=12 ; 6+12=18 ; 3+18=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 791+770 | d2:1+0+0=1→w1,c0 ; d1:9+7+0=16→w6,c1 ; d0:7+7+1=15→w5,c1 ; sum=1561 |
multidigit_addition | multidigit_addition:right-to-left-carry | 867+982 | d2:7+2+0=9→w9,c0 ; d1:6+8+0=14→w4,c1 ; d0:8+9+1=18→w8,c1 ; sum=1849 |
base_conversion | base_conversion:decomposition | n=45,base=4 | TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:231 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 0, 7, 2 | [4,7,0,1,2] ; [7,4,0,1,2] ; [2,4,0,1,7] ; [4,2,0,1,7] ; [1,2,0,4,7] ; [2,1,0,4,7] ; [0,1,2,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 609+613 | p100:600+600=1200 ; p10:0+10=10 ; p1:9+3=12 ; sum=1200+10+12=1222 |
list_summation | list_summation:left-to-right | 8, 0, 2, 7 | 8+0=8 ; 8+2=10 ; 10+7=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+16=-4 | 4x+16=-4 ; x=(-4-16)/4 ; x=-20/4 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=71,base=8 | DIV:71/8=8,r:7 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:107 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=25 | 5x+5=25 ; x=(25-5)/5 ; x=20/5 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=66 | 6x+24=66 ; x=(66-24)/6 ; x=42/6 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 943+279 | d2:3+9+0=12→w2,c1 ; d1:4+7+1=12→w2,c1 ; d0:9+2+1=12→w2,c1 ; sum=1222 |
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