task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-32=-28
4x-32=-28 ; 4x=4 ; x=1
list_summation
list_summation:pairwise
0, 1, 6, 5
0+1=1 ; 6+5=11 ; 1+11=12
list_summation
list_summation:left-to-right
6, 9, 0, 0
6+9=15 ; 15+0=15 ; 15+0=15
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-16=-14
2x-16=-14 ; x+-8=-7 ; x=-7--8 ; x=1
multidigit_addition
multidigit_addition:rounding-decomposition
869+386
round:870+386=1256 ; adjust:1256-1=1255 ; sum=1255
base_conversion
base_conversion:via-binary
n=73,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111
base_conversion
base_conversion:decomposition
n=23,base=4
TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:113
list_summation
list_summation:pairwise
0, 4, 8, 3
0+4=4 ; 8+3=11 ; 4+11=15
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,1)
D:(3,0) ; R:(3,1)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+8=-20
4x+8=-20 ; 4x=-28 ; x=-7
multidigit_addition
multidigit_addition:right-to-left-carry
519+916
d2:9+6+0=15→w5,c1 ; d1:1+1+1=3→w3,c0 ; d0:5+9+0=14→w4,c1 ; sum=1435
base_conversion
base_conversion:via-binary
n=212,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:3110
sorting_algorithms
sorting_algorithms:heap-sort
0, 2, 8, 4, 1
[0,4,8,2,1] ; [8,4,0,2,1] ; [1,4,0,2,8] ; [4,1,0,2,8] ; [4,2,0,1,8] ; [1,2,0,4,8] ; [2,1,0,4,8] ; [0,1,2,4,8] ; [1,0,2,4,8] ; [0,1,2,4,8]
base_conversion
base_conversion:repeated-division
n=13,base=16
DIV:13/16=0,r:13 ; OUT:D
sorting_algorithms
sorting_algorithms:selection-sort
8, 9, 6, 4, 2
[2,9,6,4,8] ; [2,4,6,9,8] ; [2,4,6,9,8] ; [2,4,6,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
6, 9, 1, 5, 0
[0,9,1,5,6] ; [0,1,9,5,6] ; [0,1,5,9,6] ; [0,1,5,6,9]
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:selection-sort
5, 9, 1, 2, 8
[1,9,5,2,8] ; [1,2,5,9,8] ; [1,2,5,9,8] ; [1,2,5,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+24=80
8x+24=80 ; x+3=10 ; x=10-3 ; x=7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,2)
D:(4,1) ; R:(4,2)
sorting_algorithms
sorting_algorithms:selection-sort
6, 3, 7, 4, 1
[1,3,7,4,6] ; [1,3,7,4,6] ; [1,3,4,7,6] ; [1,3,4,6,7]
multidigit_addition
multidigit_addition:left-to-right-partials
268+816
p100:200+800=1000 ; p10:60+10=70 ; p1:8+6=14 ; sum=1000+70+14=1084
sorting_algorithms
sorting_algorithms:selection-sort
7, 3, 8, 1, 5
[1,3,8,7,5] ; [1,3,8,7,5] ; [1,3,5,7,8] ; [1,3,5,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(1,3)
D:(1,2) ; R:(1,3)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+24=64
8x+24=64 ; 8x=40 ; x=5
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-49=-42
7x-49=-42 ; 7x=7 ; x=1
multidigit_addition
multidigit_addition:rounding-decomposition
432+262
round:440+262=702 ; adjust:702-8=694 ; sum=694
base_conversion
base_conversion:decomposition
n=188,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10111100
sorting_algorithms
sorting_algorithms:selection-sort
1, 4, 7, 9, 5
[1,4,7,9,5] ; [1,4,7,9,5] ; [1,4,5,9,7] ; [1,4,5,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+24=60
6x+24=60 ; x+4=10 ; x=10-4 ; x=6
base_conversion
base_conversion:repeated-division
n=218,base=16
DIV:218/16=13,r:10 ; DIV:13/16=0,r:13 ; OUT:DA
linear_equation_solving
linear_equation_solving:inverse-ops
7x+56=-7
7x+56=-7 ; x=(-7-56)/7 ; x=-63/7 ; x=-9
base_conversion
base_conversion:via-binary
n=207,base=8
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:317
list_summation
list_summation:left-to-right
0, 5, 7, 9
0+5=5 ; 5+7=12 ; 12+9=21
sorting_algorithms
sorting_algorithms:insertion-sort
3, 0, 7, 1, 6
[0,3,7,1,6] ; [0,3,7,1,6] ; [0,1,3,7,6] ; [0,1,3,6,7]
list_summation
list_summation:pairwise
8, 2, 1, 6
8+2=10 ; 1+6=7 ; 10+7=17
sorting_algorithms
sorting_algorithms:selection-sort
8, 1, 0, 6, 2
[0,1,8,6,2] ; [0,1,8,6,2] ; [0,1,2,6,8] ; [0,1,2,6,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-32=-24
8x-32=-24 ; 8x=8 ; x=1
base_conversion
base_conversion:via-binary
n=217,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3121
base_conversion
base_conversion:decomposition
n=132,base=16
TERM:8*16^1=128 ; TERM:4*16^0=4 ; OUT:84
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(4,3)
R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3)
sorting_algorithms
sorting_algorithms:heap-sort
6, 2, 4, 8, 1
[6,8,4,2,1] ; [8,6,4,2,1] ; [1,6,4,2,8] ; [6,1,4,2,8] ; [6,2,4,1,8] ; [1,2,4,6,8] ; [4,2,1,6,8] ; [1,2,4,6,8] ; [2,1,4,6,8] ; [1,2,4,6,8]
base_conversion
base_conversion:repeated-division
n=91,base=8
DIV:91/8=11,r:3 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:133
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-15=-27
3x-15=-27 ; x+-5=-9 ; x=-9--5 ; x=-4
base_conversion
base_conversion:repeated-division
n=90,base=8
DIV:90/8=11,r:2 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:132
sorting_algorithms
sorting_algorithms:merge-sort
3, 5, 7, 2, 6
[3,5,2,7,6] ; [2,3,5,7,6] ; [2,3,5,6,7]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
416+622
p100:400+600=1000 ; p10:10+20=30 ; p1:6+2=8 ; sum=1000+30+8=1038
multidigit_addition
multidigit_addition:left-to-right-partials
325+753
p100:300+700=1000 ; p10:20+50=70 ; p1:5+3=8 ; sum=1000+70+8=1078
base_conversion
base_conversion:repeated-division
n=220,base=8
DIV:220/8=27,r:4 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:334
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,1)
R:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 7, 4, 5, 6
[0,7,4,5,6] ; [0,4,7,5,6] ; [0,4,5,7,6] ; [0,4,5,6,7]
multidigit_addition
multidigit_addition:left-to-right-partials
723+423
p100:700+400=1100 ; p10:20+20=40 ; p1:3+3=6 ; sum=1100+40+6=1146
base_conversion
base_conversion:decomposition
n=195,base=16
TERM:12*16^1=192 ; TERM:3*16^0=3 ; OUT:C3
list_summation
list_summation:left-to-right
3, 8, 1, 1
3+8=11 ; 11+1=12 ; 12+1=13
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 0, 2, 8
[1,5,0,2,8] ; [1,0,5,2,8] ; [1,0,2,5,8] ; [0,1,2,5,8]
base_conversion
base_conversion:repeated-division
n=135,base=4
DIV:135/4=33,r:3 ; DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2013
sorting_algorithms
sorting_algorithms:merge-sort
2, 3, 7, 8, 4
[2,3,4,7,8]
list_summation
list_summation:left-to-right
8, 0, 9, 8
8+0=8 ; 8+9=17 ; 17+8=25
multidigit_addition
multidigit_addition:left-to-right-partials
988+255
p100:900+200=1100 ; p10:80+50=130 ; p1:8+5=13 ; sum=1100+130+13=1243
list_summation
list_summation:pairwise
8, 5, 7, 0
8+5=13 ; 7+0=7 ; 13+7=20
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(5,4)
D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
sorting_algorithms
sorting_algorithms:bubble-sort
8, 9, 1, 0, 3
[8,1,9,0,3] ; [8,1,0,9,3] ; [8,1,0,3,9] ; [1,8,0,3,9] ; [1,0,8,3,9] ; [1,0,3,8,9] ; [0,1,3,8,9]
base_conversion
base_conversion:decomposition
n=175,base=8
TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:7*8^0=7 ; OUT:257
sorting_algorithms
sorting_algorithms:insertion-sort
6, 4, 3, 9, 0
[4,6,3,9,0] ; [3,4,6,9,0] ; [3,4,6,9,0] ; [0,3,4,6,9]
base_conversion
base_conversion:decomposition
n=245,base=4
TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3311
base_conversion
base_conversion:repeated-division
n=254,base=16
DIV:254/16=15,r:14 ; DIV:15/16=0,r:15 ; OUT:FE
sorting_algorithms
sorting_algorithms:selection-sort
0, 8, 2, 3, 5
[0,8,2,3,5] ; [0,2,8,3,5] ; [0,2,3,8,5] ; [0,2,3,5,8]
multidigit_addition
multidigit_addition:right-to-left-carry
594+956
d2:4+6+0=10→w0,c1 ; d1:9+5+1=15→w5,c1 ; d0:5+9+1=15→w5,c1 ; sum=1550
sorting_algorithms
sorting_algorithms:bubble-sort
0, 9, 6, 2, 4
[0,6,9,2,4] ; [0,6,2,9,4] ; [0,6,2,4,9] ; [0,2,6,4,9] ; [0,2,4,6,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; D:(5,3) ; R:(5,4)
list_summation
list_summation:left-to-right
6, 5, 1, 2
6+5=11 ; 11+1=12 ; 12+2=14
linear_equation_solving
linear_equation_solving:inverse-ops
9x+81=90
9x+81=90 ; x=(90-81)/9 ; x=9/9 ; x=1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
5, 2, 6, 9, 1
[2,5,6,9,1] ; [1,2,5,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+15=6
3x+15=6 ; x=(6-15)/3 ; x=-9/3 ; x=-3
list_summation
list_summation:left-to-right
5, 7, 2, 4
5+7=12 ; 12+2=14 ; 14+4=18
sorting_algorithms
sorting_algorithms:bubble-sort
7, 1, 9, 0, 8
[1,7,9,0,8] ; [1,7,0,9,8] ; [1,7,0,8,9] ; [1,0,7,8,9] ; [0,1,7,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
5, 6, 0, 1, 3
[0,1,5,6,3] ; [0,1,3,5,6]
sorting_algorithms
sorting_algorithms:bubble-sort
3, 9, 0, 8, 7
[3,0,9,8,7] ; [3,0,8,9,7] ; [3,0,8,7,9] ; [0,3,8,7,9] ; [0,3,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(3,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+0=24
6x+0=24 ; 6x=24 ; x=4
base_conversion
base_conversion:via-binary
n=85,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:5 ; OUT:125
base_conversion
base_conversion:decomposition
n=119,base=8
TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:167
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,5)
R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(2,4)
R:(0,4) ; D:(1,4) ; D:(2,4)
list_summation
list_summation:right-to-left
3, 1, 3, 0
3+0=3 ; 1+3=4 ; 3+4=7
sorting_algorithms
sorting_algorithms:merge-sort
9, 1, 7, 8, 4
[1,9,7,8,4] ; [1,7,8,9,4] ; [1,4,7,8,9]
list_summation
list_summation:right-to-left
2, 0, 1, 3
1+3=4 ; 0+4=4 ; 2+4=6
linear_equation_solving
linear_equation_solving:inverse-ops
2x-18=0
2x-18=0 ; x=(0--18)/2 ; x=18/2 ; x=9
list_summation
list_summation:pairwise
2, 7, 7, 4
2+7=9 ; 7+4=11 ; 9+11=20
sorting_algorithms
sorting_algorithms:insertion-sort
2, 7, 3, 8, 0
[2,7,3,8,0] ; [2,3,7,8,0] ; [2,3,7,8,0] ; [0,2,3,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
8, 5, 2, 4, 1
[5,8,2,4,1] ; [2,4,5,8,1] ; [1,2,4,5,8]
list_summation
list_summation:pairwise
4, 8, 2, 7
4+8=12 ; 2+7=9 ; 12+9=21
multidigit_addition
multidigit_addition:rounding-decomposition
403+725
round:410+725=1135 ; adjust:1135-7=1128 ; sum=1128
multidigit_addition
multidigit_addition:right-to-left-carry
848+874
d2:8+4+0=12→w2,c1 ; d1:4+7+1=12→w2,c1 ; d0:8+8+1=17→w7,c1 ; sum=1722
list_summation
list_summation:left-to-right
7, 8, 9, 0
7+8=15 ; 15+9=24 ; 24+0=24
base_conversion
base_conversion:decomposition
n=109,base=8
TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:155
base_conversion
base_conversion:decomposition
n=255,base=8
TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:377