task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
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:divide-then-subtract
3x+0=-6
3x+0=-6 ; x+0=-2 ; x=-2-0 ; x=-2
list_summation
list_summation:pairwise
3, 6, 5, 9
3+6=9 ; 5+9=14 ; 9+14=23
sorting_algorithms
sorting_algorithms:merge-sort
7, 2, 1, 3, 0
[2,7,1,3,0] ; [1,2,3,7,0] ; [0,1,2,3,7]
sorting_algorithms
sorting_algorithms:heap-sort
0, 3, 5, 1, 9
[0,9,5,1,3] ; [9,0,5,1,3] ; [9,3,5,1,0] ; [0,3,5,1,9] ; [5,3,0,1,9] ; [1,3,0,5,9] ; [3,1,0,5,9] ; [0,1,3,5,9] ; [1,0,3,5,9] ; [0,1,3,5,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(4,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+45=25
5x+45=25 ; x=(25-45)/5 ; x=-20/5 ; x=-4
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-20=-55
5x-20=-55 ; x+-4=-11 ; x=-11--4 ; x=-7
list_summation
list_summation:pairwise
3, 0, 3, 4
3+0=3 ; 3+4=7 ; 3+7=10
base_conversion
base_conversion:via-binary
n=239,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:15 ; OUT:EF
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(3,4)
D:(2,3) ; D:(3,3) ; R:(3,4)
multidigit_addition
multidigit_addition:right-to-left-carry
439+589
d2:9+9+0=18→w8,c1 ; d1:3+8+1=12→w2,c1 ; d0:4+5+1=10→w0,c1 ; sum=1028
list_summation
list_summation:pairwise
5, 0, 1, 8
5+0=5 ; 1+8=9 ; 5+9=14
multidigit_addition
multidigit_addition:rounding-decomposition
897+872
round:900+872=1772 ; adjust:1772-3=1769 ; sum=1769
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-18=-99
9x-18=-99 ; 9x=-81 ; x=-9
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+21=15
3x+21=15 ; 3x=-6 ; x=-2
multidigit_addition
multidigit_addition:right-to-left-carry
938+892
d2:8+2+0=10→w0,c1 ; d1:3+9+1=13→w3,c1 ; d0:9+8+1=18→w8,c1 ; sum=1830
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
base_conversion
base_conversion:via-binary
n=182,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:266
list_summation
list_summation:pairwise
3, 2, 2, 4
3+2=5 ; 2+4=6 ; 5+6=11
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,2)
D:(5,0) ; R:(5,1) ; R:(5,2)
sorting_algorithms
sorting_algorithms:selection-sort
2, 3, 5, 4, 0
[0,3,5,4,2] ; [0,2,5,4,3] ; [0,2,3,4,5] ; [0,2,3,4,5]
sorting_algorithms
sorting_algorithms:insertion-sort
9, 5, 8, 2, 7
[5,9,8,2,7] ; [5,8,9,2,7] ; [2,5,8,9,7] ; [2,5,7,8,9]
base_conversion
base_conversion:decomposition
n=118,base=16
TERM:7*16^1=112 ; TERM:6*16^0=6 ; OUT:76
sorting_algorithms
sorting_algorithms:insertion-sort
6, 5, 8, 7, 3
[5,6,8,7,3] ; [5,6,8,7,3] ; [5,6,7,8,3] ; [3,5,6,7,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(5,5)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+18=10
2x+18=10 ; x+9=5 ; x=5-9 ; x=-4
list_summation
list_summation:right-to-left
1, 6, 8, 6
8+6=14 ; 6+14=20 ; 1+20=21
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-36=-36
4x-36=-36 ; x+-9=-9 ; x=-9--9 ; x=0
multidigit_addition
multidigit_addition:left-to-right-partials
949+274
p100:900+200=1100 ; p10:40+70=110 ; p1:9+4=13 ; sum=1100+110+13=1223
sorting_algorithms
sorting_algorithms:bubble-sort
0, 7, 9, 3, 4
[0,7,3,9,4] ; [0,7,3,4,9] ; [0,3,7,4,9] ; [0,3,4,7,9]
base_conversion
base_conversion:repeated-division
n=150,base=8
DIV:150/8=18,r:6 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:226
base_conversion
base_conversion:repeated-division
n=120,base=16
DIV:120/16=7,r:8 ; DIV:7/16=0,r:7 ; OUT:78
sorting_algorithms
sorting_algorithms:merge-sort
2, 5, 7, 4, 8
[2,5,4,7,8] ; [2,4,5,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
266+465
d2:6+5+0=11→w1,c1 ; d1:6+6+1=13→w3,c1 ; d0:2+4+1=7→w7,c0 ; sum=731
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-72=9
9x-72=9 ; 9x=81 ; x=9
base_conversion
base_conversion:decomposition
n=31,base=8
TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:37
multidigit_addition
multidigit_addition:right-to-left-carry
444+787
d2:4+7+0=11→w1,c1 ; d1:4+8+1=13→w3,c1 ; d0:4+7+1=12→w2,c1 ; sum=1231
multidigit_addition
multidigit_addition:right-to-left-carry
533+819
d2:3+9+0=12→w2,c1 ; d1:3+1+1=5→w5,c0 ; d0:5+8+0=13→w3,c1 ; sum=1352
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+15=-9
3x+15=-9 ; 3x=-24 ; x=-8
multidigit_addition
multidigit_addition:right-to-left-carry
168+564
d2:8+4+0=12→w2,c1 ; d1:6+6+1=13→w3,c1 ; d0:1+5+1=7→w7,c0 ; sum=732
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(3,4)
R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(3,5)
R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
sorting_algorithms
sorting_algorithms:merge-sort
9, 3, 0, 6, 4
[3,9,0,6,4] ; [0,3,6,9,4] ; [0,3,4,6,9]
list_summation
list_summation:left-to-right
9, 4, 0, 3
9+4=13 ; 13+0=13 ; 13+3=16
sorting_algorithms
sorting_algorithms:bubble-sort
4, 3, 7, 8, 1
[3,4,7,8,1] ; [3,4,7,1,8] ; [3,4,1,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8]
list_summation
list_summation:right-to-left
7, 5, 2, 4
2+4=6 ; 5+6=11 ; 7+11=18
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-18=-36
6x-18=-36 ; x+-3=-6 ; x=-6--3 ; x=-3
base_conversion
base_conversion:repeated-division
n=44,base=4
DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:230
multidigit_addition
multidigit_addition:rounding-decomposition
121+501
round:130+501=631 ; adjust:631-9=622 ; sum=622
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(4,4)
R:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,4)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
6x-18=-60
6x-18=-60 ; x=(-60--18)/6 ; x=-42/6 ; x=-7
multidigit_addition
multidigit_addition:left-to-right-partials
758+416
p100:700+400=1100 ; p10:50+10=60 ; p1:8+6=14 ; sum=1100+60+14=1174
list_summation
list_summation:pairwise
6, 7, 2, 0
6+7=13 ; 2+0=2 ; 13+2=15
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(4,4)
D:(4,3) ; R:(4,4)
linear_equation_solving
linear_equation_solving:inverse-ops
7x+42=21
7x+42=21 ; x=(21-42)/7 ; x=-21/7 ; x=-3
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+0=20
4x+0=20 ; x+0=5 ; x=5-0 ; x=5
linear_equation_solving
linear_equation_solving:inverse-ops
8x-32=-56
8x-32=-56 ; x=(-56--32)/8 ; x=-24/8 ; x=-3
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,5)
D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+16=-24
8x+16=-24 ; 8x=-40 ; x=-5
sorting_algorithms
sorting_algorithms:selection-sort
6, 4, 3, 2, 1
[1,4,3,2,6] ; [1,2,3,4,6] ; [1,2,3,4,6] ; [1,2,3,4,6]
multidigit_addition
multidigit_addition:left-to-right-partials
931+328
p100:900+300=1200 ; p10:30+20=50 ; p1:1+8=9 ; sum=1200+50+9=1259
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-24=-42
6x-24=-42 ; x+-4=-7 ; x=-7--4 ; x=-3
list_summation
list_summation:right-to-left
7, 1, 7, 1
7+1=8 ; 1+8=9 ; 7+9=16
multidigit_addition
multidigit_addition:left-to-right-partials
465+773
p100:400+700=1100 ; p10:60+70=130 ; p1:5+3=8 ; sum=1100+130+8=1238
base_conversion
base_conversion:via-binary
n=44,base=16
BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:12 ; OUT:2C
linear_equation_solving
linear_equation_solving:inverse-ops
2x-4=4
2x-4=4 ; x=(4--4)/2 ; x=8/2 ; x=4
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-63=-108
9x-63=-108 ; x+-7=-12 ; x=-12--7 ; x=-5
multidigit_addition
multidigit_addition:rounding-decomposition
617+471
round:620+471=1091 ; adjust:1091-3=1088 ; sum=1088
list_summation
list_summation:left-to-right
5, 0, 3, 0
5+0=5 ; 5+3=8 ; 8+0=8
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)
base_conversion
base_conversion:decomposition
n=78,base=8
TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:116
sorting_algorithms
sorting_algorithms:insertion-sort
0, 6, 1, 4, 2
[0,6,1,4,2] ; [0,1,6,4,2] ; [0,1,4,6,2] ; [0,1,2,4,6]
multidigit_addition
multidigit_addition:rounding-decomposition
108+671
round:110+671=781 ; adjust:781-2=779 ; sum=779
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+20=15
5x+20=15 ; x+4=3 ; x=3-4 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
750+757
d2:0+7+0=7→w7,c0 ; d1:5+5+0=10→w0,c1 ; d0:7+7+1=15→w5,c1 ; sum=1507
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,5)
R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=41,base=4
DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:221
sorting_algorithms
sorting_algorithms:bubble-sort
1, 4, 8, 2, 9
[1,4,2,8,9] ; [1,2,4,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
6x-12=-30
6x-12=-30 ; x=(-30--12)/6 ; x=-18/6 ; x=-3
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:right-to-left-carry
585+618
d2:5+8+0=13→w3,c1 ; d1:8+1+1=10→w0,c1 ; d0:5+6+1=12→w2,c1 ; sum=1203
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,5)
D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
235+342
round:240+342=582 ; adjust:582-5=577 ; sum=577
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+72=153
9x+72=153 ; x+8=17 ; x=17-8 ; x=9
multidigit_addition
multidigit_addition:rounding-decomposition
517+714
round:520+714=1234 ; adjust:1234-3=1231 ; sum=1231
base_conversion
base_conversion:repeated-division
n=158,base=4
DIV:158/4=39,r:2 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2132
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(5,1)
D:(4,0) ; D:(5,0) ; R:(5,1)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+30=55
5x+30=55 ; x=(55-30)/5 ; x=25/5 ; x=5
linear_equation_solving
linear_equation_solving:inverse-ops
9x+36=0
9x+36=0 ; x=(0-36)/9 ; x=-36/9 ; x=-4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
base_conversion
base_conversion:via-binary
n=166,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:6 ; OUT:A6
base_conversion
base_conversion:via-binary
n=162,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:2 ; OUT:A2
multidigit_addition
multidigit_addition:right-to-left-carry
111+371
d2:1+1+0=2→w2,c0 ; d1:1+7+0=8→w8,c0 ; d0:1+3+0=4→w4,c0 ; sum=482
sorting_algorithms
sorting_algorithms:bubble-sort
5, 7, 8, 2, 1
[5,7,2,8,1] ; [5,7,2,1,8] ; [5,2,7,1,8] ; [5,2,1,7,8] ; [2,5,1,7,8] ; [2,1,5,7,8] ; [1,2,5,7,8]
multidigit_addition
multidigit_addition:left-to-right-partials
881+705
p100:800+700=1500 ; p10:80+0=80 ; p1:1+5=6 ; sum=1500+80+6=1586
list_summation
list_summation:left-to-right
8, 6, 8, 3
8+6=14 ; 14+8=22 ; 22+3=25
base_conversion
base_conversion:via-binary
n=159,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:7 ; OUT:237