task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=134,base=16 | TERM:8*16^1=128 ; TERM:6*16^0=6 ; OUT:86 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 7, 4, 3 | [3,5,7,4,8] ; [3,4,7,5,8] ; [3,4,5,7,8] ; [3,4,5,7,8] |
list_summation | list_summation:right-to-left | 7, 4, 1, 1 | 1+1=2 ; 4+2=6 ; 7+6=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; R:(0,5) ; D:(1,5) |
base_conversion | base_conversion:via-binary | n=30,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:14 ; OUT:1E |
list_summation | list_summation:pairwise | 2, 9, 0, 5 | 2+9=11 ; 0+5=5 ; 11+5=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 748+853 | p100:700+800=1500 ; p10:40+50=90 ; p1:8+3=11 ; sum=1500+90+11=1601 |
list_summation | list_summation:left-to-right | 6, 1, 5, 7 | 6+1=7 ; 7+5=12 ; 12+7=19 |
list_summation | list_summation:right-to-left | 6, 2, 2, 7 | 2+7=9 ; 2+9=11 ; 6+11=17 |
list_summation | list_summation:pairwise | 6, 6, 1, 2 | 6+6=12 ; 1+2=3 ; 12+3=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 9, 4, 3, 8 | [9,1,4,3,8] ; [9,8,4,3,1] ; [1,8,4,3,9] ; [8,1,4,3,9] ; [8,3,4,1,9] ; [1,3,4,8,9] ; [4,3,1,8,9] ; [1,3,4,8,9] ; [3,1,4,8,9] ; [1,3,4,8,9] |
list_summation | list_summation:left-to-right | 8, 1, 7, 5 | 8+1=9 ; 9+7=16 ; 16+5=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=18 | 6x-36=18 ; 6x=54 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 739+230 | round:740+230=970 ; adjust:970-1=969 ; sum=969 |
list_summation | list_summation:right-to-left | 2, 0, 9, 1 | 9+1=10 ; 0+10=10 ; 2+10=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=21,base=8 | DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:25 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 457+159 | p100:400+100=500 ; p10:50+50=100 ; p1:7+9=16 ; sum=500+100+16=616 |
multidigit_addition | multidigit_addition:left-to-right-partials | 525+278 | p100:500+200=700 ; p10:20+70=90 ; p1:5+8=13 ; sum=700+90+13=803 |
list_summation | list_summation:right-to-left | 9, 9, 0, 5 | 0+5=5 ; 9+5=14 ; 9+14=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 406+480 | p100:400+400=800 ; p10:0+80=80 ; p1:6+0=6 ; sum=800+80+6=886 |
multidigit_addition | multidigit_addition:right-to-left-carry | 856+903 | d2:6+3+0=9→w9,c0 ; d1:5+0+0=5→w5,c0 ; d0:8+9+0=17→w7,c1 ; sum=1759 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 3, 5, 8 | [0,9,3,5,8] ; [0,3,9,5,8] ; [0,3,5,9,8] ; [0,3,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 472+862 | round:480+862=1342 ; adjust:1342-8=1334 ; sum=1334 |
list_summation | list_summation:left-to-right | 1, 2, 7, 9 | 1+2=3 ; 3+7=10 ; 10+9=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=-18 | 2x+0=-18 ; x=(-18-0)/2 ; x=-18/2 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 588+940 | round:590+940=1530 ; adjust:1530-2=1528 ; sum=1528 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 2, 6, 3, 8 | [0,2,6,3,8] ; [0,2,6,3,8] ; [0,2,3,6,8] ; [0,2,3,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(1,2) | D:(1,1) ; R:(1,2) |
base_conversion | base_conversion:decomposition | n=13,base=4 | TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:31 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
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 |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 943+537 | d2:3+7+0=10→w0,c1 ; d1:4+3+1=8→w8,c0 ; d0:9+5+0=14→w4,c1 ; sum=1480 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-126 | 9x-81=-126 ; x=(-126--81)/9 ; x=-45/9 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-21=-28 | 7x-21=-28 ; x=(-28--21)/7 ; x=-7/7 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=214,base=16 | DIV:214/16=13,r:6 ; DIV:13/16=0,r:13 ; OUT:D6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 1, 4, 7, 8 | [3,8,4,7,1] ; [8,3,4,7,1] ; [8,7,4,3,1] ; [1,7,4,3,8] ; [7,1,4,3,8] ; [7,3,4,1,8] ; [1,3,4,7,8] ; [4,3,1,7,8] ; [1,3,4,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
base_conversion | base_conversion:via-binary | n=5,base=16 | BINLEN:3 ; CHUNK:0:5 ; OUT:5 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 6, 4, 5 | [4,8,6,7,5] ; [4,5,6,7,8] ; [4,5,6,7,8] ; [4,5,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-18 | 3x-21=-18 ; x=(-18--21)/3 ; x=3/3 ; x=1 |
base_conversion | base_conversion:decomposition | n=134,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:0*2^0=0 ; OUT:10000110 |
list_summation | list_summation:right-to-left | 3, 9, 9, 8 | 9+8=17 ; 9+17=26 ; 3+26=29 |
base_conversion | base_conversion:decomposition | n=17,base=4 | TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:101 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,3) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:repeated-division | n=216,base=2 | DIV:216/2=108,r:0 ; DIV:108/2=54,r:0 ; 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:11011000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 7, 3, 2 | [5,7,9,3,2] ; [5,7,3,9,2] ; [5,7,3,2,9] ; [5,3,7,2,9] ; [5,3,2,7,9] ; [3,5,2,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9] |
list_summation | list_summation:pairwise | 0, 3, 8, 3 | 0+3=3 ; 8+3=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=18 | 3x+24=18 ; x=(18-24)/3 ; x=-6/3 ; x=-2 |
list_summation | list_summation:left-to-right | 9, 2, 8, 7 | 9+2=11 ; 11+8=19 ; 19+7=26 |
list_summation | list_summation:left-to-right | 9, 8, 2, 6 | 9+8=17 ; 17+2=19 ; 19+6=25 |
list_summation | list_summation:pairwise | 6, 5, 3, 8 | 6+5=11 ; 3+8=11 ; 11+11=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 374+798 | p100:300+700=1000 ; p10:70+90=160 ; p1:4+8=12 ; sum=1000+160+12=1172 |
list_summation | list_summation:right-to-left | 0, 2, 8, 3 | 8+3=11 ; 2+11=13 ; 0+13=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=-10 | 5x-10=-10 ; 5x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=46,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:14 ; OUT:2E |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=202,base=16 | TERM:12*16^1=192 ; TERM:10*16^0=10 ; OUT:CA |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=5,base=16 | BINLEN:3 ; CHUNK:0:5 ; OUT:5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+21=39 | 3x+21=39 ; x=(39-21)/3 ; x=18/3 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 546+817 | d2:6+7+0=13→w3,c1 ; d1:4+1+1=6→w6,c0 ; d0:5+8+0=13→w3,c1 ; sum=1363 |
multidigit_addition | multidigit_addition:rounding-decomposition | 107+563 | round:110+563=673 ; adjust:673-3=670 ; sum=670 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 4, 3, 1 | [8,5,4,3,1] ; [1,5,4,3,8] ; [5,1,4,3,8] ; [5,3,4,1,8] ; [1,3,4,5,8] ; [4,3,1,5,8] ; [1,3,4,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8] |
base_conversion | base_conversion:decomposition | n=149,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; 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:10010101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 641+768 | p100:600+700=1300 ; p10:40+60=100 ; p1:1+8=9 ; sum=1300+100+9=1409 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(3,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:pairwise | 4, 7, 4, 1 | 4+7=11 ; 4+1=5 ; 11+5=16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-14 | 2x-8=-14 ; x+-4=-7 ; x=-7--4 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 118+749 | d2:8+9+0=17→w7,c1 ; d1:1+4+1=6→w6,c0 ; d0:1+7+0=8→w8,c0 ; sum=867 |
multidigit_addition | multidigit_addition:rounding-decomposition | 905+439 | round:910+439=1349 ; adjust:1349-5=1344 ; sum=1344 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=-28 | 4x-20=-28 ; x+-5=-7 ; x=-7--5 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 607+550 | round:610+550=1160 ; adjust:1160-3=1157 ; sum=1157 |
multidigit_addition | multidigit_addition:left-to-right-partials | 438+233 | p100:400+200=600 ; p10:30+30=60 ; p1:8+3=11 ; sum=600+60+11=671 |
base_conversion | base_conversion:decomposition | n=104,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1101000 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=-14 | 2x+0=-14 ; 2x=-14 ; x=-7 |
base_conversion | base_conversion:decomposition | n=215,base=2 | TERM:1*2^7=128 ; 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:11010111 |
base_conversion | base_conversion:via-binary | n=205,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:13 ; OUT:CD |
base_conversion | base_conversion:decomposition | n=55,base=2 | TERM:1*2^5=32 ; 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:110111 |
list_summation | list_summation:left-to-right | 9, 3, 4, 7 | 9+3=12 ; 12+4=16 ; 16+7=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 939+880 | p100:900+800=1700 ; p10:30+80=110 ; p1:9+0=9 ; sum=1700+110+9=1819 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=9 | 9x-27=9 ; x=(9--27)/9 ; x=36/9 ; x=4 |
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