Datasets:
awni00
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multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
xet
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1
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:divide-then-subtract
6x+18=-12
6x+18=-12 ; x+3=-2 ; x=-2-3 ; x=-5
list_summation
list_summation:right-to-left
1, 3, 8, 8
8+8=16 ; 3+16=19 ; 1+19=20
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-21=-24
3x-21=-24 ; x+-7=-8 ; x=-8--7 ; x=-1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,2)
D:(5,0) ; R:(5,1) ; R:(5,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-40=-48
8x-40=-48 ; 8x=-8 ; x=-1
linear_equation_solving
linear_equation_solving:inverse-ops
7x+56=112
7x+56=112 ; x=(112-56)/7 ; x=56/7 ; x=8
sorting_algorithms
sorting_algorithms:merge-sort
9, 4, 1, 8, 5
[4,9,1,8,5] ; [1,4,8,9,5] ; [1,4,5,8,9]
list_summation
list_summation:left-to-right
2, 9, 4, 9
2+9=11 ; 11+4=15 ; 15+9=24
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:right-to-left
4, 9, 6, 6
6+6=12 ; 9+12=21 ; 4+21=25
base_conversion
base_conversion:via-binary
n=161,base=16
BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:1 ; OUT:A1
list_summation
list_summation:pairwise
7, 7, 6, 1
7+7=14 ; 6+1=7 ; 14+7=21
multidigit_addition
multidigit_addition:left-to-right-partials
137+307
p100:100+300=400 ; p10:30+0=30 ; p1:7+7=14 ; sum=400+30+14=444
multidigit_addition
multidigit_addition:rounding-decomposition
527+126
round:530+126=656 ; adjust:656-3=653 ; sum=653
linear_equation_solving
linear_equation_solving:inverse-ops
7x-28=-14
7x-28=-14 ; x=(-14--28)/7 ; x=14/7 ; x=2
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-25=-40
5x-25=-40 ; 5x=-15 ; x=-3
list_summation
list_summation:left-to-right
8, 4, 2, 6
8+4=12 ; 12+2=14 ; 14+6=20
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(5,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
4x-28=-56
4x-28=-56 ; x=(-56--28)/4 ; x=-28/4 ; x=-7
sorting_algorithms
sorting_algorithms:insertion-sort
5, 7, 3, 9, 6
[5,7,3,9,6] ; [3,5,7,9,6] ; [3,5,7,9,6] ; [3,5,6,7,9]
list_summation
list_summation:pairwise
8, 0, 5, 1
8+0=8 ; 5+1=6 ; 8+6=14
multidigit_addition
multidigit_addition:rounding-decomposition
874+514
round:880+514=1394 ; adjust:1394-6=1388 ; sum=1388
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(5,5)
D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+14=-2
2x+14=-2 ; x+7=-1 ; x=-1-7 ; x=-8
multidigit_addition
multidigit_addition:rounding-decomposition
865+810
round:870+810=1680 ; adjust:1680-5=1675 ; sum=1675
list_summation
list_summation:pairwise
6, 1, 2, 9
6+1=7 ; 2+9=11 ; 7+11=18
multidigit_addition
multidigit_addition:rounding-decomposition
733+368
round:740+368=1108 ; adjust:1108-7=1101 ; sum=1101
list_summation
list_summation:left-to-right
3, 8, 3, 7
3+8=11 ; 11+3=14 ; 14+7=21
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(3,2)
R:(1,2) ; D:(2,2) ; D:(3,2)
linear_equation_solving
linear_equation_solving:inverse-ops
2x+10=22
2x+10=22 ; x=(22-10)/2 ; x=12/2 ; x=6
base_conversion
base_conversion:via-binary
n=180,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:4 ; OUT:B4
sorting_algorithms
sorting_algorithms:merge-sort
2, 1, 7, 8, 5
[1,2,7,8,5] ; [1,2,5,7,8]
base_conversion
base_conversion:via-binary
n=100,base=16
BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:4 ; OUT:64
base_conversion
base_conversion:decomposition
n=49,base=4
TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:301
list_summation
list_summation:left-to-right
1, 8, 1, 4
1+8=9 ; 9+1=10 ; 10+4=14
multidigit_addition
multidigit_addition:right-to-left-carry
300+403
d2:0+3+0=3→w3,c0 ; d1:0+0+0=0→w0,c0 ; d0:3+4+0=7→w7,c0 ; sum=703
list_summation
list_summation:left-to-right
6, 9, 3, 9
6+9=15 ; 15+3=18 ; 18+9=27
linear_equation_solving
linear_equation_solving:inverse-ops
6x+30=60
6x+30=60 ; x=(60-30)/6 ; x=30/6 ; x=5
base_conversion
base_conversion:decomposition
n=159,base=16
TERM:9*16^1=144 ; TERM:15*16^0=15 ; OUT:9F
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(4,3)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3)
linear_equation_solving
linear_equation_solving:inverse-ops
4x+20=16
4x+20=16 ; x=(16-20)/4 ; x=-4/4 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
693+586
d2:3+6+0=9→w9,c0 ; d1:9+8+0=17→w7,c1 ; d0:6+5+1=12→w2,c1 ; sum=1279
base_conversion
base_conversion:decomposition
n=203,base=16
TERM:12*16^1=192 ; TERM:11*16^0=11 ; OUT:CB
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(4,3)
R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,3)
R:(3,2) ; D:(4,2) ; R:(4,3)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,5)
R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
6x-12=6
6x-12=6 ; x=(6--12)/6 ; x=18/6 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
736+183
round:740+183=923 ; adjust:923-4=919 ; sum=919
list_summation
list_summation:left-to-right
7, 8, 4, 7
7+8=15 ; 15+4=19 ; 19+7=26
multidigit_addition
multidigit_addition:right-to-left-carry
992+652
d2:2+2+0=4→w4,c0 ; d1:9+5+0=14→w4,c1 ; d0:9+6+1=16→w6,c1 ; sum=1644
sorting_algorithms
sorting_algorithms:bubble-sort
6, 0, 7, 3, 4
[0,6,7,3,4] ; [0,6,3,7,4] ; [0,6,3,4,7] ; [0,3,6,4,7] ; [0,3,4,6,7]
sorting_algorithms
sorting_algorithms:heap-sort
4, 0, 7, 2, 6
[4,6,7,2,0] ; [7,6,4,2,0] ; [0,6,4,2,7] ; [6,0,4,2,7] ; [6,2,4,0,7] ; [0,2,4,6,7] ; [4,2,0,6,7] ; [0,2,4,6,7] ; [2,0,4,6,7] ; [0,2,4,6,7]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(4,5)
D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
list_summation
list_summation:pairwise
8, 3, 2, 1
8+3=11 ; 2+1=3 ; 11+3=14
sorting_algorithms
sorting_algorithms:selection-sort
9, 7, 2, 8, 3
[2,7,9,8,3] ; [2,3,9,8,7] ; [2,3,7,8,9] ; [2,3,7,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
4, 6, 9, 5, 1
[4,6,5,9,1] ; [4,6,5,1,9] ; [4,5,6,1,9] ; [4,5,1,6,9] ; [4,1,5,6,9] ; [1,4,5,6,9]
list_summation
list_summation:right-to-left
1, 4, 3, 0
3+0=3 ; 4+3=7 ; 1+7=8
linear_equation_solving
linear_equation_solving:inverse-ops
8x+16=64
8x+16=64 ; x=(64-16)/8 ; x=48/8 ; x=6
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,5)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
974+968
d2:4+8+0=12→w2,c1 ; d1:7+6+1=14→w4,c1 ; d0:9+9+1=19→w9,c1 ; sum=1942
base_conversion
base_conversion:via-binary
n=156,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10011100
multidigit_addition
multidigit_addition:right-to-left-carry
211+310
d2:1+0+0=1→w1,c0 ; d1:1+1+0=2→w2,c0 ; d0:2+3+0=5→w5,c0 ; sum=521
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,3)
R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,2) ; G=(2,5)
R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-9=-90
9x-9=-90 ; x+-1=-10 ; x=-10--1 ; x=-9
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-10=-12
2x-10=-12 ; x+-5=-6 ; x=-6--5 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
242+144
d2:2+4+0=6→w6,c0 ; d1:4+4+0=8→w8,c0 ; d0:2+1+0=3→w3,c0 ; sum=386
list_summation
list_summation:right-to-left
7, 7, 8, 8
8+8=16 ; 7+16=23 ; 7+23=30
linear_equation_solving
linear_equation_solving:inverse-ops
8x+24=16
8x+24=16 ; x=(16-24)/8 ; x=-8/8 ; x=-1
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(3,5)
R:(2,5) ; D:(3,5)
linear_equation_solving
linear_equation_solving:inverse-ops
8x+56=56
8x+56=56 ; x=(56-56)/8 ; x=0/8 ; x=0
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
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(4,3)
D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3)
base_conversion
base_conversion:via-binary
n=110,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:1232
list_summation
list_summation:left-to-right
6, 8, 4, 1
6+8=14 ; 14+4=18 ; 18+1=19
base_conversion
base_conversion:via-binary
n=33,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:100001
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,5)
D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 8, 7, 6, 5
[0,8,7,6,5] ; [0,7,8,6,5] ; [0,6,7,8,5] ; [0,5,6,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
7x-35=0
7x-35=0 ; x=(0--35)/7 ; x=35/7 ; x=5
base_conversion
base_conversion:via-binary
n=119,base=8
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:7 ; OUT:167
list_summation
list_summation:right-to-left
1, 7, 8, 7
8+7=15 ; 7+15=22 ; 1+22=23
base_conversion
base_conversion:decomposition
n=101,base=8
TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:5*8^0=5 ; OUT:145
list_summation
list_summation:left-to-right
4, 2, 2, 8
4+2=6 ; 6+2=8 ; 8+8=16
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(2,2)
D:(2,1) ; R:(2,2)
list_summation
list_summation:right-to-left
9, 1, 6, 5
6+5=11 ; 1+11=12 ; 9+12=21
linear_equation_solving
linear_equation_solving:inverse-ops
8x-24=48
8x-24=48 ; x=(48--24)/8 ; x=72/8 ; x=9
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:left-to-right-partials
633+802
p100:600+800=1400 ; p10:30+0=30 ; p1:3+2=5 ; sum=1400+30+5=1435
base_conversion
base_conversion:decomposition
n=89,base=4
TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1121
list_summation
list_summation:right-to-left
4, 4, 0, 9
0+9=9 ; 4+9=13 ; 4+13=17
sorting_algorithms
sorting_algorithms:merge-sort
8, 9, 2, 7, 0
[2,7,8,9,0] ; [0,2,7,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,5)
R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
base_conversion
base_conversion:via-binary
n=145,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2101
base_conversion
base_conversion:decomposition
n=60,base=8
TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:74
base_conversion
base_conversion:repeated-division
n=36,base=16
DIV:36/16=2,r:4 ; DIV:2/16=0,r:2 ; OUT:24
multidigit_addition
multidigit_addition:right-to-left-carry
976+427
d2:6+7+0=13→w3,c1 ; d1:7+2+1=10→w0,c1 ; d0:9+4+1=14→w4,c1 ; sum=1403
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,0) ; G=(5,3)
D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:left-to-right-partials
634+440
p100:600+400=1000 ; p10:30+40=70 ; p1:4+0=4 ; sum=1000+70+4=1074
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+72=153
9x+72=153 ; 9x=81 ; x=9
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-14=-4
2x-14=-4 ; x+-7=-2 ; x=-2--7 ; x=5