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
6, 7, 8, 1
6+7=13 ; 8+1=9 ; 13+9=22
list_summation
list_summation:right-to-left
6, 5, 0, 6
0+6=6 ; 5+6=11 ; 6+11=17
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+20=36
4x+20=36 ; x+5=9 ; x=9-5 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
184+578
p100:100+500=600 ; p10:80+70=150 ; p1:4+8=12 ; sum=600+150+12=762
sorting_algorithms
sorting_algorithms:selection-sort
8, 0, 4, 3, 2
[0,8,4,3,2] ; [0,2,4,3,8] ; [0,2,3,4,8] ; [0,2,3,4,8]
sorting_algorithms
sorting_algorithms:heap-sort
0, 7, 8, 5, 1
[8,7,0,5,1] ; [1,7,0,5,8] ; [7,1,0,5,8] ; [7,5,0,1,8] ; [1,5,0,7,8] ; [5,1,0,7,8] ; [0,1,5,7,8] ; [1,0,5,7,8] ; [0,1,5,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(4,2)
R:(2,2) ; D:(3,2) ; D:(4,2)
list_summation
list_summation:pairwise
2, 6, 6, 0
2+6=8 ; 6+0=6 ; 8+6=14
sorting_algorithms
sorting_algorithms:insertion-sort
0, 6, 8, 7, 1
[0,6,8,7,1] ; [0,6,8,7,1] ; [0,6,7,8,1] ; [0,1,6,7,8]
base_conversion
base_conversion:decomposition
n=74,base=16
TERM:4*16^1=64 ; TERM:10*16^0=10 ; OUT:4A
base_conversion
base_conversion:repeated-division
n=96,base=4
DIV:96/4=24,r:0 ; DIV:24/4=6,r:0 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1200
list_summation
list_summation:pairwise
5, 6, 4, 9
5+6=11 ; 4+9=13 ; 11+13=24
linear_equation_solving
linear_equation_solving:inverse-ops
5x-35=-70
5x-35=-70 ; x=(-70--35)/5 ; x=-35/5 ; x=-7
sorting_algorithms
sorting_algorithms:selection-sort
9, 7, 3, 2, 6
[2,7,3,9,6] ; [2,3,7,9,6] ; [2,3,6,9,7] ; [2,3,6,7,9]
list_summation
list_summation:pairwise
4, 9, 0, 3
4+9=13 ; 0+3=3 ; 13+3=16
base_conversion
base_conversion:repeated-division
n=225,base=16
DIV:225/16=14,r:1 ; DIV:14/16=0,r:14 ; OUT:E1
sorting_algorithms
sorting_algorithms:heap-sort
0, 9, 4, 8, 6
[9,0,4,8,6] ; [9,8,4,0,6] ; [6,8,4,0,9] ; [8,6,4,0,9] ; [0,6,4,8,9] ; [6,0,4,8,9] ; [4,0,6,8,9] ; [0,4,6,8,9]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 7, 8, 3, 1
[0,7,8,3,1] ; [0,7,8,3,1] ; [0,3,7,8,1] ; [0,1,3,7,8]
list_summation
list_summation:pairwise
5, 6, 1, 6
5+6=11 ; 1+6=7 ; 11+7=18
list_summation
list_summation:left-to-right
1, 1, 1, 2
1+1=2 ; 2+1=3 ; 3+2=5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,5)
R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
list_summation
list_summation:pairwise
2, 4, 5, 2
2+4=6 ; 5+2=7 ; 6+7=13
base_conversion
base_conversion:via-binary
n=234,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:10 ; OUT:EA
linear_equation_solving
linear_equation_solving:inverse-ops
6x-24=-36
6x-24=-36 ; x=(-36--24)/6 ; x=-12/6 ; x=-2
multidigit_addition
multidigit_addition:left-to-right-partials
403+404
p100:400+400=800 ; p10:0+0=0 ; p1:3+4=7 ; sum=800+0+7=807
multidigit_addition
multidigit_addition:left-to-right-partials
635+100
p100:600+100=700 ; p10:30+0=30 ; p1:5+0=5 ; sum=700+30+5=735
list_summation
list_summation:right-to-left
6, 4, 4, 9
4+9=13 ; 4+13=17 ; 6+17=23
base_conversion
base_conversion:decomposition
n=208,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:3100
sorting_algorithms
sorting_algorithms:selection-sort
6, 8, 2, 0, 7
[0,8,2,6,7] ; [0,2,8,6,7] ; [0,2,6,8,7] ; [0,2,6,7,8]
list_summation
list_summation:left-to-right
7, 8, 4, 1
7+8=15 ; 15+4=19 ; 19+1=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(4,5)
R:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:selection-sort
1, 3, 0, 8, 9
[0,3,1,8,9] ; [0,1,3,8,9] ; [0,1,3,8,9] ; [0,1,3,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,3)
R:(3,3) ; D:(4,3) ; D:(5,3)
list_summation
list_summation:pairwise
7, 5, 2, 9
7+5=12 ; 2+9=11 ; 12+11=23
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x+8=-8
4x+8=-8 ; 4x=-16 ; x=-4
list_summation
list_summation:pairwise
3, 2, 6, 4
3+2=5 ; 6+4=10 ; 5+10=15
sorting_algorithms
sorting_algorithms:merge-sort
3, 5, 6, 2, 9
[3,5,2,6,9] ; [2,3,5,6,9]
multidigit_addition
multidigit_addition:right-to-left-carry
881+608
d2:1+8+0=9→w9,c0 ; d1:8+0+0=8→w8,c0 ; d0:8+6+0=14→w4,c1 ; sum=1489
linear_equation_solving
linear_equation_solving:inverse-ops
8x-56=-56
8x-56=-56 ; x=(-56--56)/8 ; x=0/8 ; x=0
list_summation
list_summation:left-to-right
2, 8, 1, 4
2+8=10 ; 10+1=11 ; 11+4=15
list_summation
list_summation:pairwise
0, 4, 3, 6
0+4=4 ; 3+6=9 ; 4+9=13
multidigit_addition
multidigit_addition:left-to-right-partials
528+138
p100:500+100=600 ; p10:20+30=50 ; p1:8+8=16 ; sum=600+50+16=666
base_conversion
base_conversion:repeated-division
n=180,base=2
DIV:180/2=90,r:0 ; 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:10110100
list_summation
list_summation:right-to-left
8, 4, 2, 4
2+4=6 ; 4+6=10 ; 8+10=18
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+4=8
2x+4=8 ; 2x=4 ; x=2
sorting_algorithms
sorting_algorithms:heap-sort
6, 3, 4, 9, 5
[6,9,4,3,5] ; [9,6,4,3,5] ; [5,6,4,3,9] ; [6,5,4,3,9] ; [3,5,4,6,9] ; [5,3,4,6,9] ; [4,3,5,6,9] ; [3,4,5,6,9]
base_conversion
base_conversion:via-binary
n=14,base=2
BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1110
base_conversion
base_conversion:via-binary
n=236,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:12 ; OUT:EC
sorting_algorithms
sorting_algorithms:merge-sort
9, 7, 3, 4, 6
[7,9,3,4,6] ; [3,4,7,9,6] ; [3,4,6,7,9]
sorting_algorithms
sorting_algorithms:bubble-sort
1, 2, 5, 9, 4
[1,2,5,4,9] ; [1,2,4,5,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(3,4)
R:(1,4) ; D:(2,4) ; D:(3,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
350+696
d2:0+6+0=6→w6,c0 ; d1:5+9+0=14→w4,c1 ; d0:3+6+1=10→w0,c1 ; sum=1046
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(1,3)
R:(0,3) ; D:(1,3)
multidigit_addition
multidigit_addition:rounding-decomposition
839+304
round:840+304=1144 ; adjust:1144-1=1143 ; sum=1143
multidigit_addition
multidigit_addition:right-to-left-carry
204+872
d2:4+2+0=6→w6,c0 ; d1:0+7+0=7→w7,c0 ; d0:2+8+0=10→w0,c1 ; sum=1076
multidigit_addition
multidigit_addition:rounding-decomposition
955+734
round:960+734=1694 ; adjust:1694-5=1689 ; sum=1689
list_summation
list_summation:pairwise
6, 9, 1, 0
6+9=15 ; 1+0=1 ; 15+1=16
sorting_algorithms
sorting_algorithms:selection-sort
5, 6, 1, 9, 8
[1,6,5,9,8] ; [1,5,6,9,8] ; [1,5,6,9,8] ; [1,5,6,8,9]
multidigit_addition
multidigit_addition:left-to-right-partials
244+294
p100:200+200=400 ; p10:40+90=130 ; p1:4+4=8 ; sum=400+130+8=538
list_summation
list_summation:right-to-left
5, 5, 6, 1
6+1=7 ; 5+7=12 ; 5+12=17
list_summation
list_summation:right-to-left
0, 4, 1, 5
1+5=6 ; 4+6=10 ; 0+10=10
base_conversion
base_conversion:via-binary
n=164,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:4 ; OUT:A4
multidigit_addition
multidigit_addition:right-to-left-carry
340+355
d2:0+5+0=5→w5,c0 ; d1:4+5+0=9→w9,c0 ; d0:3+3+0=6→w6,c0 ; sum=695
list_summation
list_summation:left-to-right
1, 5, 5, 0
1+5=6 ; 6+5=11 ; 11+0=11
sorting_algorithms
sorting_algorithms:insertion-sort
9, 4, 8, 6, 3
[4,9,8,6,3] ; [4,8,9,6,3] ; [4,6,8,9,3] ; [3,4,6,8,9]
base_conversion
base_conversion:repeated-division
n=39,base=16
DIV:39/16=2,r:7 ; DIV:2/16=0,r:2 ; OUT:27
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(3,1)
R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1)
multidigit_addition
multidigit_addition:left-to-right-partials
238+227
p100:200+200=400 ; p10:30+20=50 ; p1:8+7=15 ; sum=400+50+15=465
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(4,4)
R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4)
multidigit_addition
multidigit_addition:rounding-decomposition
321+170
round:330+170=500 ; adjust:500-9=491 ; sum=491
multidigit_addition
multidigit_addition:left-to-right-partials
505+614
p100:500+600=1100 ; p10:0+10=10 ; p1:5+4=9 ; sum=1100+10+9=1119
multidigit_addition
multidigit_addition:left-to-right-partials
554+642
p100:500+600=1100 ; p10:50+40=90 ; p1:4+2=6 ; sum=1100+90+6=1196
linear_equation_solving
linear_equation_solving:inverse-ops
2x+18=36
2x+18=36 ; x=(36-18)/2 ; x=18/2 ; x=9
list_summation
list_summation:pairwise
0, 7, 2, 7
0+7=7 ; 2+7=9 ; 7+9=16
multidigit_addition
multidigit_addition:right-to-left-carry
211+961
d2:1+1+0=2→w2,c0 ; d1:1+6+0=7→w7,c0 ; d0:2+9+0=11→w1,c1 ; sum=1172
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+8=32
4x+8=32 ; x+2=8 ; x=8-2 ; x=6
multidigit_addition
multidigit_addition:rounding-decomposition
817+544
round:820+544=1364 ; adjust:1364-3=1361 ; sum=1361
list_summation
list_summation:pairwise
6, 8, 7, 2
6+8=14 ; 7+2=9 ; 14+9=23
multidigit_addition
multidigit_addition:left-to-right-partials
936+623
p100:900+600=1500 ; p10:30+20=50 ; p1:6+3=9 ; sum=1500+50+9=1559
multidigit_addition
multidigit_addition:right-to-left-carry
316+625
d2:6+5+0=11→w1,c1 ; d1:1+2+1=4→w4,c0 ; d0:3+6+0=9→w9,c0 ; sum=941
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:decomposition
n=108,base=4
TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1230
list_summation
list_summation:right-to-left
1, 4, 8, 6
8+6=14 ; 4+14=18 ; 1+18=19
multidigit_addition
multidigit_addition:rounding-decomposition
906+601
round:910+601=1511 ; adjust:1511-4=1507 ; sum=1507
sorting_algorithms
sorting_algorithms:insertion-sort
7, 8, 3, 5, 4
[7,8,3,5,4] ; [3,7,8,5,4] ; [3,5,7,8,4] ; [3,4,5,7,8]
list_summation
list_summation:right-to-left
7, 8, 6, 2
6+2=8 ; 8+8=16 ; 7+16=23
base_conversion
base_conversion:repeated-division
n=129,base=8
DIV:129/8=16,r:1 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:201
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+56=35
7x+56=35 ; x+8=5 ; x=5-8 ; x=-3
list_summation
list_summation:pairwise
2, 0, 2, 1
2+0=2 ; 2+1=3 ; 2+3=5
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+25=0
5x+25=0 ; x+5=0 ; x=0-5 ; x=-5
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+0=-21
7x+0=-21 ; x+0=-3 ; x=-3-0 ; x=-3
base_conversion
base_conversion:via-binary
n=247,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11110111
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+32=0
8x+32=0 ; x+4=0 ; x=0-4 ; x=-4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; D:(5,1) ; R:(5,2)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
200+337
p100:200+300=500 ; p10:0+30=30 ; p1:0+7=7 ; sum=500+30+7=537
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(5,3)
R:(3,3) ; D:(4,3) ; D:(5,3)
multidigit_addition
multidigit_addition:right-to-left-carry
628+673
d2:8+3+0=11→w1,c1 ; d1:2+7+1=10→w0,c1 ; d0:6+6+1=13→w3,c1 ; sum=1301