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
7x+35=42
7x+35=42 ; x+5=6 ; x=6-5 ; x=1
list_summation
list_summation:pairwise
5, 2, 9, 5
5+2=7 ; 9+5=14 ; 7+14=21
list_summation
list_summation:right-to-left
4, 8, 8, 1
8+1=9 ; 8+9=17 ; 4+17=21
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
base_conversion
base_conversion:decomposition
n=165,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:2211
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-28=-28
4x-28=-28 ; 4x=0 ; x=0
list_summation
list_summation:right-to-left
0, 2, 9, 6
9+6=15 ; 2+15=17 ; 0+17=17
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(4,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
list_summation
list_summation:right-to-left
4, 6, 4, 9
4+9=13 ; 6+13=19 ; 4+19=23
list_summation
list_summation:right-to-left
9, 6, 7, 9
7+9=16 ; 6+16=22 ; 9+22=31
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-14=-24
2x-14=-24 ; 2x=-10 ; x=-5
multidigit_addition
multidigit_addition:rounding-decomposition
895+753
round:900+753=1653 ; adjust:1653-5=1648 ; sum=1648
list_summation
list_summation:pairwise
7, 4, 4, 5
7+4=11 ; 4+5=9 ; 11+9=20
list_summation
list_summation:pairwise
7, 3, 7, 7
7+3=10 ; 7+7=14 ; 10+14=24
sorting_algorithms
sorting_algorithms:bubble-sort
4, 8, 1, 7, 9
[4,1,8,7,9] ; [4,1,7,8,9] ; [1,4,7,8,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(2,5)
R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5)
linear_equation_solving
linear_equation_solving:inverse-ops
2x+14=30
2x+14=30 ; x=(30-14)/2 ; x=16/2 ; x=8
list_summation
list_summation:right-to-left
0, 4, 4, 6
4+6=10 ; 4+10=14 ; 0+14=14
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,4) ; G=(3,5)
D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-18=-45
3x-18=-45 ; 3x=-27 ; x=-9
base_conversion
base_conversion:decomposition
n=191,base=8
TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:277
list_summation
list_summation:left-to-right
1, 1, 4, 9
1+1=2 ; 2+4=6 ; 6+9=15
list_summation
list_summation:right-to-left
2, 2, 7, 3
7+3=10 ; 2+10=12 ; 2+12=14
base_conversion
base_conversion:decomposition
n=198,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11000110
sorting_algorithms
sorting_algorithms:insertion-sort
7, 9, 2, 3, 4
[7,9,2,3,4] ; [2,7,9,3,4] ; [2,3,7,9,4] ; [2,3,4,7,9]
list_summation
list_summation:right-to-left
9, 9, 4, 8
4+8=12 ; 9+12=21 ; 9+21=30
sorting_algorithms
sorting_algorithms:bubble-sort
7, 2, 4, 8, 5
[2,7,4,8,5] ; [2,4,7,8,5] ; [2,4,7,5,8] ; [2,4,5,7,8]
base_conversion
base_conversion:decomposition
n=182,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10110110
base_conversion
base_conversion:via-binary
n=227,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:3 ; OUT:E3
list_summation
list_summation:left-to-right
9, 2, 9, 4
9+2=11 ; 11+9=20 ; 20+4=24
base_conversion
base_conversion:decomposition
n=2,base=2
TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10
linear_equation_solving
linear_equation_solving:inverse-ops
7x+56=21
7x+56=21 ; x=(21-56)/7 ; x=-35/7 ; x=-5
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,4) ; G=(5,5)
D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+81=135
9x+81=135 ; x+9=15 ; x=15-9 ; x=6
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:repeated-division
n=35,base=2
DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100011
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-6=-20
2x-6=-20 ; 2x=-14 ; x=-7
multidigit_addition
multidigit_addition:right-to-left-carry
417+287
d2:7+7+0=14→w4,c1 ; d1:1+8+1=10→w0,c1 ; d0:4+2+1=7→w7,c0 ; sum=704
multidigit_addition
multidigit_addition:right-to-left-carry
118+616
d2:8+6+0=14→w4,c1 ; d1:1+1+1=3→w3,c0 ; d0:1+6+0=7→w7,c0 ; sum=734
base_conversion
base_conversion:decomposition
n=116,base=2
TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1110100
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(2,1)
R:(1,1) ; D:(2,1)
sorting_algorithms
sorting_algorithms:selection-sort
6, 1, 0, 3, 2
[0,1,6,3,2] ; [0,1,6,3,2] ; [0,1,2,3,6] ; [0,1,2,3,6]
multidigit_addition
multidigit_addition:right-to-left-carry
606+718
d2:6+8+0=14→w4,c1 ; d1:0+1+1=2→w2,c0 ; d0:6+7+0=13→w3,c1 ; sum=1324
linear_equation_solving
linear_equation_solving:inverse-ops
7x-49=-84
7x-49=-84 ; x=(-84--49)/7 ; x=-35/7 ; x=-5
base_conversion
base_conversion:decomposition
n=60,base=16
TERM:3*16^1=48 ; TERM:12*16^0=12 ; OUT:3C
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(5,4)
R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(4,4)
D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4)
sorting_algorithms
sorting_algorithms:insertion-sort
5, 0, 1, 2, 3
[0,5,1,2,3] ; [0,1,5,2,3] ; [0,1,2,5,3] ; [0,1,2,3,5]
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-72=-56
8x-72=-56 ; 8x=16 ; x=2
base_conversion
base_conversion:repeated-division
n=72,base=16
DIV:72/16=4,r:8 ; DIV:4/16=0,r:4 ; OUT:48
linear_equation_solving
linear_equation_solving:inverse-ops
7x+14=-28
7x+14=-28 ; x=(-28-14)/7 ; x=-42/7 ; x=-6
sorting_algorithms
sorting_algorithms:merge-sort
1, 9, 6, 8, 5
[1,6,8,9,5] ; [1,5,6,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
171+209
d2:1+9+0=10→w0,c1 ; d1:7+0+1=8→w8,c0 ; d0:1+2+0=3→w3,c0 ; sum=380
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; D:(5,4) ; R:(5,5)
list_summation
list_summation:right-to-left
1, 0, 4, 9
4+9=13 ; 0+13=13 ; 1+13=14
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(2,3)
R:(1,3) ; D:(2,3)
base_conversion
base_conversion:decomposition
n=251,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11111011
base_conversion
base_conversion:repeated-division
n=228,base=2
DIV:228/2=114,r:0 ; DIV:114/2=57,r:0 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100100
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-10=8
2x-10=8 ; 2x=18 ; x=9
list_summation
list_summation:left-to-right
0, 5, 0, 9
0+5=5 ; 5+0=5 ; 5+9=14
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(3,4)
D:(2,3) ; D:(3,3) ; R:(3,4)
sorting_algorithms
sorting_algorithms:heap-sort
5, 3, 7, 2, 0
[7,3,5,2,0] ; [0,3,5,2,7] ; [5,3,0,2,7] ; [2,3,0,5,7] ; [3,2,0,5,7] ; [0,2,3,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7]
base_conversion
base_conversion:decomposition
n=40,base=2
TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:101000
sorting_algorithms
sorting_algorithms:bubble-sort
2, 6, 4, 8, 0
[2,4,6,8,0] ; [2,4,6,0,8] ; [2,4,0,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8]
list_summation
list_summation:pairwise
2, 1, 5, 7
2+1=3 ; 5+7=12 ; 3+12=15
multidigit_addition
multidigit_addition:rounding-decomposition
100+482
round:100+482=582 ; adjust:582-0=582 ; sum=582
base_conversion
base_conversion:via-binary
n=239,base=16
BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:15 ; OUT:EF
multidigit_addition
multidigit_addition:right-to-left-carry
167+446
d2:7+6+0=13→w3,c1 ; d1:6+4+1=11→w1,c1 ; d0:1+4+1=6→w6,c0 ; sum=613
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(1,5)
R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(4,4)
D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4)
base_conversion
base_conversion:repeated-division
n=217,base=16
DIV:217/16=13,r:9 ; DIV:13/16=0,r:13 ; OUT:D9
base_conversion
base_conversion:decomposition
n=203,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11001011
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)
multidigit_addition
multidigit_addition:left-to-right-partials
321+514
p100:300+500=800 ; p10:20+10=30 ; p1:1+4=5 ; sum=800+30+5=835
sorting_algorithms
sorting_algorithms:bubble-sort
8, 6, 3, 9, 5
[6,8,3,9,5] ; [6,3,8,9,5] ; [6,3,8,5,9] ; [3,6,8,5,9] ; [3,6,5,8,9] ; [3,5,6,8,9]
list_summation
list_summation:right-to-left
8, 2, 1, 4
1+4=5 ; 2+5=7 ; 8+7=15
multidigit_addition
multidigit_addition:rounding-decomposition
779+729
round:780+729=1509 ; adjust:1509-1=1508 ; sum=1508
list_summation
list_summation:left-to-right
9, 3, 4, 2
9+3=12 ; 12+4=16 ; 16+2=18
base_conversion
base_conversion:via-binary
n=230,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11100110
sorting_algorithms
sorting_algorithms:merge-sort
4, 2, 3, 7, 0
[2,4,3,7,0] ; [2,3,4,7,0] ; [0,2,3,4,7]
list_summation
list_summation:left-to-right
9, 0, 2, 3
9+0=9 ; 9+2=11 ; 11+3=14
base_conversion
base_conversion:decomposition
n=68,base=4
TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:1010
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)
linear_equation_solving
linear_equation_solving:inverse-ops
9x-54=-117
9x-54=-117 ; x=(-117--54)/9 ; x=-63/9 ; x=-7
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-20=15
5x-20=15 ; x+-4=3 ; x=3--4 ; x=7
multidigit_addition
multidigit_addition:right-to-left-carry
138+331
d2:8+1+0=9→w9,c0 ; d1:3+3+0=6→w6,c0 ; d0:1+3+0=4→w4,c0 ; sum=469
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,2) ; G=(4,4)
R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:merge-sort
5, 6, 7, 2, 4
[5,6,2,7,4] ; [2,5,6,7,4] ; [2,4,5,6,7]
list_summation
list_summation:pairwise
9, 0, 1, 4
9+0=9 ; 1+4=5 ; 9+5=14
list_summation
list_summation:pairwise
9, 5, 9, 7
9+5=14 ; 9+7=16 ; 14+16=30
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+18=63
9x+18=63 ; 9x=45 ; x=5
sorting_algorithms
sorting_algorithms:selection-sort
2, 6, 5, 7, 0
[0,6,5,7,2] ; [0,2,5,7,6] ; [0,2,5,7,6] ; [0,2,5,6,7]
base_conversion
base_conversion:via-binary
n=244,base=16
BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:4 ; OUT:F4
sorting_algorithms
sorting_algorithms:insertion-sort
0, 9, 3, 6, 1
[0,9,3,6,1] ; [0,3,9,6,1] ; [0,3,6,9,1] ; [0,1,3,6,9]
list_summation
list_summation:left-to-right
7, 9, 4, 0
7+9=16 ; 16+4=20 ; 20+0=20
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-72=-16
8x-72=-16 ; 8x=56 ; x=7
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:right-to-left-carry
720+589
d2:0+9+0=9→w9,c0 ; d1:2+8+0=10→w0,c1 ; d0:7+5+1=13→w3,c1 ; sum=1309
list_summation
list_summation:pairwise
4, 8, 7, 6
4+8=12 ; 7+6=13 ; 12+13=25
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,4)
R:(2,4) ; D:(3,4)