Datasets:
awni00
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multi-strategy-algorithmic-tasks

Dataset card Data Studio Files
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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
9x-63=-117
9x-63=-117 ; x+-7=-13 ; x=-13--7 ; x=-6
base_conversion
base_conversion:via-binary
n=191,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2333
linear_equation_solving
linear_equation_solving:inverse-ops
8x-64=-104
8x-64=-104 ; x=(-104--64)/8 ; x=-40/8 ; x=-5
sorting_algorithms
sorting_algorithms:bubble-sort
5, 9, 6, 7, 1
[5,6,9,7,1] ; [5,6,7,9,1] ; [5,6,7,1,9] ; [5,6,1,7,9] ; [5,1,6,7,9] ; [1,5,6,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+48=48
8x+48=48 ; x+6=6 ; x=6-6 ; x=0
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(2,5)
R:(0,5) ; D:(1,5) ; D:(2,5)
multidigit_addition
multidigit_addition:rounding-decomposition
541+354
round:550+354=904 ; adjust:904-9=895 ; sum=895
sorting_algorithms
sorting_algorithms:selection-sort
7, 4, 8, 2, 5
[2,4,8,7,5] ; [2,4,8,7,5] ; [2,4,5,7,8] ; [2,4,5,7,8]
base_conversion
base_conversion:repeated-division
n=179,base=8
DIV:179/8=22,r:3 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:263
multidigit_addition
multidigit_addition:right-to-left-carry
442+838
d2:2+8+0=10→w0,c1 ; d1:4+3+1=8→w8,c0 ; d0:4+8+0=12→w2,c1 ; sum=1280
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+20=-12
4x+20=-12 ; x+5=-3 ; x=-3-5 ; x=-8
linear_equation_solving
linear_equation_solving:inverse-ops
5x-15=-5
5x-15=-5 ; x=(-5--15)/5 ; x=10/5 ; x=2
multidigit_addition
multidigit_addition:rounding-decomposition
718+186
round:720+186=906 ; adjust:906-2=904 ; sum=904
list_summation
list_summation:right-to-left
4, 3, 2, 0
2+0=2 ; 3+2=5 ; 4+5=9
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+81=162
9x+81=162 ; x+9=18 ; x=18-9 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,2)
D:(5,1) ; R:(5,2)
multidigit_addition
multidigit_addition:left-to-right-partials
390+575
p100:300+500=800 ; p10:90+70=160 ; p1:0+5=5 ; sum=800+160+5=965
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x-20=-44
4x-20=-44 ; x+-5=-11 ; x=-11--5 ; x=-6
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-72=-16
8x-72=-16 ; 8x=56 ; x=7
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x-6=12
3x-6=12 ; x+-2=4 ; x=4--2 ; x=6
list_summation
list_summation:left-to-right
6, 3, 8, 1
6+3=9 ; 9+8=17 ; 17+1=18
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+0=12
3x+0=12 ; x+0=4 ; x=4-0 ; x=4
multidigit_addition
multidigit_addition:left-to-right-partials
694+265
p100:600+200=800 ; p10:90+60=150 ; p1:4+5=9 ; sum=800+150+9=959
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+0=18
6x+0=18 ; x+0=3 ; x=3-0 ; x=3
linear_equation_solving
linear_equation_solving:inverse-ops
9x+81=90
9x+81=90 ; x=(90-81)/9 ; x=9/9 ; x=1
multidigit_addition
multidigit_addition:rounding-decomposition
583+345
round:590+345=935 ; adjust:935-7=928 ; sum=928
base_conversion
base_conversion:via-binary
n=176,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:0 ; OUT:260
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)
multidigit_addition
multidigit_addition:left-to-right-partials
172+119
p100:100+100=200 ; p10:70+10=80 ; p1:2+9=11 ; sum=200+80+11=291
sorting_algorithms
sorting_algorithms:bubble-sort
7, 1, 8, 9, 6
[1,7,8,9,6] ; [1,7,8,6,9] ; [1,7,6,8,9] ; [1,6,7,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
list_summation
list_summation:right-to-left
0, 4, 4, 3
4+3=7 ; 4+7=11 ; 0+11=11
sorting_algorithms
sorting_algorithms:selection-sort
9, 5, 8, 1, 7
[1,5,8,9,7] ; [1,5,8,9,7] ; [1,5,7,9,8] ; [1,5,7,8,9]
base_conversion
base_conversion:repeated-division
n=103,base=4
DIV:103/4=25,r:3 ; DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1213
sorting_algorithms
sorting_algorithms:selection-sort
1, 6, 0, 5, 9
[0,6,1,5,9] ; [0,1,6,5,9] ; [0,1,5,6,9] ; [0,1,5,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
747+353
p100:700+300=1000 ; p10:40+50=90 ; p1:7+3=10 ; sum=1000+90+10=1100
sorting_algorithms
sorting_algorithms:selection-sort
1, 8, 6, 3, 4
[1,8,6,3,4] ; [1,3,6,8,4] ; [1,3,4,8,6] ; [1,3,4,6,8]
multidigit_addition
multidigit_addition:rounding-decomposition
738+239
round:740+239=979 ; adjust:979-2=977 ; sum=977
sorting_algorithms
sorting_algorithms:heap-sort
8, 3, 2, 1, 7
[8,7,2,1,3] ; [3,7,2,1,8] ; [7,3,2,1,8] ; [1,3,2,7,8] ; [3,1,2,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8]
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)
list_summation
list_summation:right-to-left
8, 2, 4, 4
4+4=8 ; 2+8=10 ; 8+10=18
list_summation
list_summation:right-to-left
9, 7, 5, 1
5+1=6 ; 7+6=13 ; 9+13=22
multidigit_addition
multidigit_addition:right-to-left-carry
376+645
d2:6+5+0=11→w1,c1 ; d1:7+4+1=12→w2,c1 ; d0:3+6+1=10→w0,c1 ; sum=1021
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:selection-sort
5, 4, 0, 2, 6
[0,4,5,2,6] ; [0,2,5,4,6] ; [0,2,4,5,6] ; [0,2,4,5,6]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(3,5)
D:(3,3) ; R:(3,4) ; R:(3,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-20=-56
4x-20=-56 ; 4x=-36 ; x=-9
list_summation
list_summation:right-to-left
9, 3, 5, 8
5+8=13 ; 3+13=16 ; 9+16=25
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(5,4)
D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-54=-45
9x-54=-45 ; x+-6=-5 ; x=-5--6 ; x=1
sorting_algorithms
sorting_algorithms:bubble-sort
5, 8, 1, 0, 9
[5,1,8,0,9] ; [5,1,0,8,9] ; [1,5,0,8,9] ; [1,0,5,8,9] ; [0,1,5,8,9]
list_summation
list_summation:left-to-right
3, 5, 5, 9
3+5=8 ; 8+5=13 ; 13+9=22
base_conversion
base_conversion:repeated-division
n=83,base=4
DIV:83/4=20,r:3 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1103
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
sorting_algorithms
sorting_algorithms:selection-sort
7, 5, 4, 6, 1
[1,5,4,6,7] ; [1,4,5,6,7] ; [1,4,5,6,7] ; [1,4,5,6,7]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=200,base=8
DIV:200/8=25,r:0 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:310
list_summation
list_summation:left-to-right
4, 4, 8, 9
4+4=8 ; 8+8=16 ; 16+9=25
list_summation
list_summation:left-to-right
7, 1, 0, 8
7+1=8 ; 8+0=8 ; 8+8=16
base_conversion
base_conversion:decomposition
n=94,base=2
TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1011110
linear_equation_solving
linear_equation_solving:inverse-ops
3x+9=-6
3x+9=-6 ; x=(-6-9)/3 ; x=-15/3 ; x=-5
base_conversion
base_conversion:repeated-division
n=53,base=2
DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:110101
multidigit_addition
multidigit_addition:right-to-left-carry
133+597
d2:3+7+0=10→w0,c1 ; d1:3+9+1=13→w3,c1 ; d0:1+5+1=7→w7,c0 ; sum=730
multidigit_addition
multidigit_addition:left-to-right-partials
151+180
p100:100+100=200 ; p10:50+80=130 ; p1:1+0=1 ; sum=200+130+1=331
list_summation
list_summation:pairwise
6, 9, 4, 8
6+9=15 ; 4+8=12 ; 15+12=27
sorting_algorithms
sorting_algorithms:selection-sort
2, 9, 8, 5, 1
[1,9,8,5,2] ; [1,2,8,5,9] ; [1,2,5,8,9] ; [1,2,5,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
678+575
round:680+575=1255 ; adjust:1255-2=1253 ; sum=1253
base_conversion
base_conversion:via-binary
n=53,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:110101
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(3,2)
R:(2,2) ; D:(3,2)
base_conversion
base_conversion:repeated-division
n=65,base=4
DIV:65/4=16,r:1 ; DIV:16/4=4,r:0 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1001
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(1,3)
D:(1,2) ; R:(1,3)
base_conversion
base_conversion:decomposition
n=150,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:2112
sorting_algorithms
sorting_algorithms:heap-sort
3, 8, 0, 5, 1
[8,3,0,5,1] ; [8,5,0,3,1] ; [1,5,0,3,8] ; [5,1,0,3,8] ; [5,3,0,1,8] ; [1,3,0,5,8] ; [3,1,0,5,8] ; [0,1,3,5,8] ; [1,0,3,5,8] ; [0,1,3,5,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(3,3)
R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3)
linear_equation_solving
linear_equation_solving:inverse-ops
7x+14=77
7x+14=77 ; x=(77-14)/7 ; x=63/7 ; x=9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(3,4)
D:(2,3) ; D:(3,3) ; R:(3,4)
list_summation
list_summation:pairwise
2, 2, 1, 3
2+2=4 ; 1+3=4 ; 4+4=8
list_summation
list_summation:left-to-right
1, 9, 6, 0
1+9=10 ; 10+6=16 ; 16+0=16
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+36=44
4x+36=44 ; x+9=11 ; x=11-9 ; x=2
base_conversion
base_conversion:decomposition
n=148,base=16
TERM:9*16^1=144 ; TERM:4*16^0=4 ; OUT:94
sorting_algorithms
sorting_algorithms:merge-sort
0, 3, 9, 1, 2
[0,3,1,9,2] ; [0,1,3,9,2] ; [0,1,2,3,9]
base_conversion
base_conversion:decomposition
n=176,base=4
TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:2300
list_summation
list_summation:left-to-right
1, 4, 2, 0
1+4=5 ; 5+2=7 ; 7+0=7
base_conversion
base_conversion:via-binary
n=141,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:215
linear_equation_solving
linear_equation_solving:inverse-ops
4x+36=40
4x+36=40 ; x=(40-36)/4 ; x=4/4 ; x=1
base_conversion
base_conversion:repeated-division
n=179,base=4
DIV:179/4=44,r:3 ; DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2303
list_summation
list_summation:right-to-left
5, 3, 1, 7
1+7=8 ; 3+8=11 ; 5+11=16
base_conversion
base_conversion:decomposition
n=183,base=16
TERM:11*16^1=176 ; TERM:7*16^0=7 ; OUT:B7
list_summation
list_summation:right-to-left
6, 2, 3, 7
3+7=10 ; 2+10=12 ; 6+12=18
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(3,4)
R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
list_summation
list_summation:left-to-right
6, 0, 5, 5
6+0=6 ; 6+5=11 ; 11+5=16
linear_equation_solving
linear_equation_solving:inverse-ops
3x-18=-27
3x-18=-27 ; x=(-27--18)/3 ; x=-9/3 ; x=-3
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-30=-70
5x-30=-70 ; x+-6=-14 ; x=-14--6 ; x=-8
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(4,4)
R:(2,4) ; D:(3,4) ; D:(4,4)
list_summation
list_summation:left-to-right
0, 9, 2, 7
0+9=9 ; 9+2=11 ; 11+7=18
base_conversion
base_conversion:via-binary
n=21,base=8
BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:5 ; OUT:25
sorting_algorithms
sorting_algorithms:heap-sort
8, 7, 5, 4, 3
[3,7,5,4,8] ; [7,3,5,4,8] ; [7,4,5,3,8] ; [3,4,5,7,8] ; [5,4,3,7,8] ; [3,4,5,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8]
base_conversion
base_conversion:repeated-division
n=193,base=4
DIV:193/4=48,r:1 ; DIV:48/4=12,r:0 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3001
base_conversion
base_conversion:repeated-division
n=200,base=4
DIV:200/4=50,r:0 ; DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3020