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 | 7, 1, 6, 1 | 7+1=8 ; 6+1=7 ; 8+7=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:pairwise | 0, 2, 3, 2 | 0+2=2 ; 3+2=5 ; 2+5=7 |
base_conversion | base_conversion:repeated-division | n=115,base=16 | DIV:115/16=7,r:3 ; DIV:7/16=0,r:7 ; OUT:73 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 2, 4, 6 | [1,9,2,4,6] ; [1,2,4,9,6] ; [1,2,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 626+452 | round:630+452=1082 ; adjust:1082-4=1078 ; sum=1078 |
multidigit_addition | multidigit_addition:left-to-right-partials | 815+159 | p100:800+100=900 ; p10:10+50=60 ; p1:5+9=14 ; sum=900+60+14=974 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 408+832 | d2:8+2+0=10→w0,c1 ; d1:0+3+1=4→w4,c0 ; d0:4+8+0=12→w2,c1 ; sum=1240 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
base_conversion | base_conversion:repeated-division | n=87,base=2 | DIV:87/2=43,r:1 ; DIV:43/2=21,r:1 ; DIV:21/2=10,r:1 ; 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:1010111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 3, 8, 6 | [2,3,9,8,6] ; [2,3,8,9,6] ; [2,3,8,6,9] ; [2,3,6,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(3,4) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:pairwise | 8, 1, 8, 6 | 8+1=9 ; 8+6=14 ; 9+14=23 |
base_conversion | base_conversion:decomposition | n=139,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:3*8^0=3 ; OUT:213 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-20=-24 | 4x-20=-24 ; 4x=-4 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=45 | 5x+10=45 ; x=(45-10)/5 ; x=35/5 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=84 | 6x+42=84 ; 6x=42 ; x=7 |
base_conversion | base_conversion:repeated-division | n=125,base=2 | DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; 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:1111101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=107,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:5 ; CHUNK:2:3 ; OUT:153 |
base_conversion | base_conversion:repeated-division | n=12,base=4 | DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:30 |
base_conversion | base_conversion:repeated-division | n=161,base=4 | DIV:161/4=40,r:1 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2201 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+3=-9 | 3x+3=-9 ; 3x=-12 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=-3 | 3x+21=-3 ; x+7=-1 ; x=-1-7 ; x=-8 |
list_summation | list_summation:right-to-left | 3, 4, 9, 7 | 9+7=16 ; 4+16=20 ; 3+20=23 |
list_summation | list_summation:right-to-left | 0, 0, 0, 4 | 0+4=4 ; 0+4=4 ; 0+4=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-78 | 6x-36=-78 ; x+-6=-13 ; x=-13--6 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=12 | 3x+6=12 ; x+2=4 ; x=4-2 ; x=2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 505+731 | round:510+731=1241 ; adjust:1241-5=1236 ; sum=1236 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 476+131 | p100:400+100=500 ; p10:70+30=100 ; p1:6+1=7 ; sum=500+100+7=607 |
list_summation | list_summation:left-to-right | 2, 9, 7, 0 | 2+9=11 ; 11+7=18 ; 18+0=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 0, 2, 7, 1 | [0,4,2,7,1] ; [0,2,4,7,1] ; [0,2,4,1,7] ; [0,2,1,4,7] ; [0,1,2,4,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+40=80 | 8x+40=80 ; 8x=40 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 520+964 | d2:0+4+0=4→w4,c0 ; d1:2+6+0=8→w8,c0 ; d0:5+9+0=14→w4,c1 ; sum=1484 |
base_conversion | base_conversion:repeated-division | n=198,base=4 | DIV:198/4=49,r:2 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3012 |
multidigit_addition | multidigit_addition:left-to-right-partials | 615+429 | p100:600+400=1000 ; p10:10+20=30 ; p1:5+9=14 ; sum=1000+30+14=1044 |
base_conversion | base_conversion:decomposition | n=62,base=16 | TERM:3*16^1=48 ; TERM:14*16^0=14 ; OUT:3E |
list_summation | list_summation:left-to-right | 9, 1, 3, 5 | 9+1=10 ; 10+3=13 ; 13+5=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 0, 1, 9 | [5,8,0,1,9] ; [5,0,8,1,9] ; [5,0,1,8,9] ; [0,5,1,8,9] ; [0,1,5,8,9] |
list_summation | list_summation:right-to-left | 0, 6, 8, 5 | 8+5=13 ; 6+13=19 ; 0+19=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 9, 5, 2 | [1,3,9,5,2] ; [1,3,5,9,2] ; [1,2,3,5,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=30 | 6x-12=30 ; x=(30--12)/6 ; x=42/6 ; x=7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 2, 0, 1, 7 | [2,5,0,1,7] ; [2,0,5,1,7] ; [2,0,1,5,7] ; [0,2,1,5,7] ; [0,1,2,5,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 658+673 | d2:8+3+0=11→w1,c1 ; d1:5+7+1=13→w3,c1 ; d0:6+6+1=13→w3,c1 ; sum=1331 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=147,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:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10010011 |
list_summation | list_summation:pairwise | 3, 1, 4, 9 | 3+1=4 ; 4+9=13 ; 4+13=17 |
base_conversion | base_conversion:repeated-division | n=178,base=2 | DIV:178/2=89,r:0 ; DIV:89/2=44,r:1 ; DIV:44/2=22,r:0 ; 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:10110010 |
base_conversion | base_conversion:repeated-division | n=244,base=4 | DIV:244/4=61,r:0 ; DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3310 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,3) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-126 | 9x-72=-126 ; x=(-126--72)/9 ; x=-54/9 ; x=-6 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 9, 2, 1, 8 | [7,9,1,2,8] ; [1,2,7,9,8] ; [1,2,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+14=0 | 7x+14=0 ; x=(0-14)/7 ; x=-14/7 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 141+959 | d2:1+9+0=10→w0,c1 ; d1:4+5+1=10→w0,c1 ; d0:1+9+1=11→w1,c1 ; sum=1100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-28 | 4x-32=-28 ; 4x=4 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 175+632 | round:180+632=812 ; adjust:812-5=807 ; sum=807 |
multidigit_addition | multidigit_addition:right-to-left-carry | 629+812 | d2:9+2+0=11→w1,c1 ; d1:2+1+1=4→w4,c0 ; d0:6+8+0=14→w4,c1 ; sum=1441 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 870+828 | round:870+828=1698 ; adjust:1698-0=1698 ; sum=1698 |
base_conversion | base_conversion:repeated-division | n=155,base=8 | DIV:155/8=19,r:3 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:233 |
base_conversion | base_conversion:decomposition | n=121,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1321 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=2 | 2x-6=2 ; 2x=8 ; x=4 |
base_conversion | base_conversion:via-binary | n=114,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:2 ; OUT:162 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; R:(1,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 2, 6, 3 | [5,7,2,6,3] ; [2,5,7,6,3] ; [2,5,6,7,3] ; [2,3,5,6,7] |
list_summation | list_summation:right-to-left | 5, 1, 4, 0 | 4+0=4 ; 1+4=5 ; 5+5=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 300+970 | p100:300+900=1200 ; p10:0+70=70 ; p1:0+0=0 ; sum=1200+70+0=1270 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=15 | 5x+40=15 ; x=(15-40)/5 ; x=-25/5 ; x=-5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=45 | 9x+0=45 ; 9x=45 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=-54 | 6x-18=-54 ; x+-3=-9 ; x=-9--3 ; x=-6 |
list_summation | list_summation:right-to-left | 4, 3, 0, 8 | 0+8=8 ; 3+8=11 ; 4+11=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 1, 8, 0 | [5,7,1,8,0] ; [1,5,7,8,0] ; [0,1,5,7,8] |
base_conversion | base_conversion:repeated-division | n=131,base=16 | DIV:131/16=8,r:3 ; DIV:8/16=0,r:8 ; OUT:83 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(3,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 3, 7, 9 | [2,3,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=-42 | 6x-42=-42 ; x+-7=-7 ; x=-7--7 ; x=0 |
base_conversion | base_conversion:decomposition | n=79,base=16 | TERM:4*16^1=64 ; TERM:15*16^0=15 ; OUT:4F |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=-12 | 6x+6=-12 ; x=(-12-6)/6 ; x=-18/6 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=20,base=4 | TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 766+898 | p100:700+800=1500 ; p10:60+90=150 ; p1:6+8=14 ; sum=1500+150+14=1664 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 1, 4, 6 | [1,2,4,8,6] ; [1,2,4,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 4, 8, 1, 3 | 1+3=4 ; 8+4=12 ; 4+12=16 |
list_summation | list_summation:right-to-left | 6, 2, 1, 3 | 1+3=4 ; 2+4=6 ; 6+6=12 |
base_conversion | base_conversion:decomposition | n=212,base=16 | TERM:13*16^1=208 ; TERM:4*16^0=4 ; OUT:D4 |
base_conversion | base_conversion:decomposition | n=184,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:0*8^0=0 ; OUT:270 |
base_conversion | base_conversion:decomposition | n=55,base=8 | TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:67 |
list_summation | list_summation:pairwise | 2, 5, 6, 4 | 2+5=7 ; 6+4=10 ; 7+10=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=105 | 7x+42=105 ; 7x=63 ; x=9 |
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