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:inverse-ops
3x-6=-15
3x-6=-15 ; x=(-15--6)/3 ; x=-9/3 ; x=-3
multidigit_addition
multidigit_addition:right-to-left-carry
212+578
d2:2+8+0=10→w0,c1 ; d1:1+7+1=9→w9,c0 ; d0:2+5+0=7→w7,c0 ; sum=790
multidigit_addition
multidigit_addition:left-to-right-partials
152+201
p100:100+200=300 ; p10:50+0=50 ; p1:2+1=3 ; sum=300+50+3=353
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(5,5)
R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-2=-8
2x-2=-8 ; x+-1=-4 ; x=-4--1 ; x=-3
base_conversion
base_conversion:repeated-division
n=17,base=8
DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:21
sorting_algorithms
sorting_algorithms:insertion-sort
1, 4, 0, 8, 7
[1,4,0,8,7] ; [0,1,4,8,7] ; [0,1,4,8,7] ; [0,1,4,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
911+879
d2:1+9+0=10→w0,c1 ; d1:1+7+1=9→w9,c0 ; d0:9+8+0=17→w7,c1 ; sum=1790
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+81=72
9x+81=72 ; 9x=-9 ; x=-1
multidigit_addition
multidigit_addition:right-to-left-carry
512+953
d2:2+3+0=5→w5,c0 ; d1:1+5+0=6→w6,c0 ; d0:5+9+0=14→w4,c1 ; sum=1465
sorting_algorithms
sorting_algorithms:merge-sort
7, 6, 0, 4, 2
[6,7,0,4,2] ; [0,4,6,7,2] ; [0,2,4,6,7]
linear_equation_solving
linear_equation_solving:inverse-ops
4x+4=16
4x+4=16 ; x=(16-4)/4 ; x=12/4 ; x=3
sorting_algorithms
sorting_algorithms:bubble-sort
9, 2, 1, 3, 6
[2,9,1,3,6] ; [2,1,9,3,6] ; [2,1,3,9,6] ; [2,1,3,6,9] ; [1,2,3,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
915+900
round:920+900=1820 ; adjust:1820-5=1815 ; sum=1815
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(3,4)
R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-45=-85
5x-45=-85 ; x+-9=-17 ; x=-17--9 ; x=-8
sorting_algorithms
sorting_algorithms:insertion-sort
7, 6, 4, 3, 0
[6,7,4,3,0] ; [4,6,7,3,0] ; [3,4,6,7,0] ; [0,3,4,6,7]
multidigit_addition
multidigit_addition:rounding-decomposition
476+549
round:480+549=1029 ; adjust:1029-4=1025 ; sum=1025
list_summation
list_summation:left-to-right
8, 4, 1, 0
8+4=12 ; 12+1=13 ; 13+0=13
base_conversion
base_conversion:decomposition
n=67,base=2
TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1000011
sorting_algorithms
sorting_algorithms:bubble-sort
0, 8, 4, 2, 5
[0,4,8,2,5] ; [0,4,2,8,5] ; [0,4,2,5,8] ; [0,2,4,5,8]
sorting_algorithms
sorting_algorithms:selection-sort
8, 4, 3, 5, 9
[3,4,8,5,9] ; [3,4,8,5,9] ; [3,4,5,8,9] ; [3,4,5,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+35=60
5x+35=60 ; x+7=12 ; x=12-7 ; x=5
sorting_algorithms
sorting_algorithms:bubble-sort
5, 9, 7, 8, 0
[5,7,9,8,0] ; [5,7,8,9,0] ; [5,7,8,0,9] ; [5,7,0,8,9] ; [5,0,7,8,9] ; [0,5,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(3,5)
R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5)
list_summation
list_summation:left-to-right
9, 6, 4, 4
9+6=15 ; 15+4=19 ; 19+4=23
sorting_algorithms
sorting_algorithms:selection-sort
1, 0, 7, 4, 5
[0,1,7,4,5] ; [0,1,7,4,5] ; [0,1,4,7,5] ; [0,1,4,5,7]
list_summation
list_summation:right-to-left
4, 0, 0, 5
0+5=5 ; 0+5=5 ; 4+5=9
base_conversion
base_conversion:repeated-division
n=96,base=2
DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100000
linear_equation_solving
linear_equation_solving:inverse-ops
5x-15=5
5x-15=5 ; x=(5--15)/5 ; x=20/5 ; x=4
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+54=99
9x+54=99 ; x+6=11 ; x=11-6 ; x=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:via-binary
n=205,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3031
base_conversion
base_conversion:decomposition
n=144,base=2
TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10010000
list_summation
list_summation:pairwise
7, 1, 0, 8
7+1=8 ; 0+8=8 ; 8+8=16
list_summation
list_summation:pairwise
5, 5, 8, 7
5+5=10 ; 8+7=15 ; 10+15=25
base_conversion
base_conversion:decomposition
n=249,base=16
TERM:15*16^1=240 ; TERM:9*16^0=9 ; OUT:F9
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(2,4)
D:(2,2) ; R:(2,3) ; R:(2,4)
base_conversion
base_conversion:repeated-division
n=58,base=2
DIV:58/2=29,r:0 ; DIV:29/2=14,r:1 ; 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:111010
linear_equation_solving
linear_equation_solving:inverse-ops
2x-8=-10
2x-8=-10 ; x=(-10--8)/2 ; x=-2/2 ; x=-1
multidigit_addition
multidigit_addition:rounding-decomposition
445+448
round:450+448=898 ; adjust:898-5=893 ; sum=893
multidigit_addition
multidigit_addition:rounding-decomposition
662+685
round:670+685=1355 ; adjust:1355-8=1347 ; sum=1347
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,3) ; G=(3,5)
D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
multidigit_addition
multidigit_addition:left-to-right-partials
687+426
p100:600+400=1000 ; p10:80+20=100 ; p1:7+6=13 ; sum=1000+100+13=1113
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+16=40
8x+16=40 ; 8x=24 ; x=3
list_summation
list_summation:right-to-left
4, 3, 1, 5
1+5=6 ; 3+6=9 ; 4+9=13
list_summation
list_summation:pairwise
0, 9, 6, 5
0+9=9 ; 6+5=11 ; 9+11=20
multidigit_addition
multidigit_addition:rounding-decomposition
949+420
round:950+420=1370 ; adjust:1370-1=1369 ; sum=1369
sorting_algorithms
sorting_algorithms:bubble-sort
4, 9, 7, 1, 0
[4,7,9,1,0] ; [4,7,1,9,0] ; [4,7,1,0,9] ; [4,1,7,0,9] ; [4,1,0,7,9] ; [1,4,0,7,9] ; [1,0,4,7,9] ; [0,1,4,7,9]
sorting_algorithms
sorting_algorithms:merge-sort
9, 7, 5, 3, 1
[7,9,5,3,1] ; [7,9,3,5,1] ; [3,5,7,9,1] ; [1,3,5,7,9]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(5,4)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=196,base=16
DIV:196/16=12,r:4 ; DIV:12/16=0,r:12 ; OUT:C4
list_summation
list_summation:right-to-left
8, 0, 3, 0
3+0=3 ; 0+3=3 ; 8+3=11
sorting_algorithms
sorting_algorithms:insertion-sort
7, 0, 8, 2, 4
[0,7,8,2,4] ; [0,7,8,2,4] ; [0,2,7,8,4] ; [0,2,4,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+81=18
9x+81=18 ; 9x=-63 ; x=-7
multidigit_addition
multidigit_addition:left-to-right-partials
484+310
p100:400+300=700 ; p10:80+10=90 ; p1:4+0=4 ; sum=700+90+4=794
linear_equation_solving
linear_equation_solving:inverse-ops
5x+25=25
5x+25=25 ; x=(25-25)/5 ; x=0/5 ; x=0
sorting_algorithms
sorting_algorithms:bubble-sort
2, 1, 9, 6, 0
[1,2,9,6,0] ; [1,2,6,9,0] ; [1,2,6,0,9] ; [1,2,0,6,9] ; [1,0,2,6,9] ; [0,1,2,6,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(5,4)
R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:left-to-right-partials
812+418
p100:800+400=1200 ; p10:10+10=20 ; p1:2+8=10 ; sum=1200+20+10=1230
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)
base_conversion
base_conversion:decomposition
n=96,base=4
TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1200
multidigit_addition
multidigit_addition:right-to-left-carry
958+401
d2:8+1+0=9→w9,c0 ; d1:5+0+0=5→w5,c0 ; d0:9+4+0=13→w3,c1 ; sum=1359
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-35=-35
5x-35=-35 ; 5x=0 ; x=0
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-25=20
5x-25=20 ; 5x=45 ; x=9
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-6=-21
3x-6=-21 ; 3x=-15 ; x=-5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(4,4)
R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
linear_equation_solving
linear_equation_solving:inverse-ops
6x+18=30
6x+18=30 ; x=(30-18)/6 ; x=12/6 ; x=2
linear_equation_solving
linear_equation_solving:inverse-ops
6x-12=-60
6x-12=-60 ; x=(-60--12)/6 ; x=-48/6 ; x=-8
list_summation
list_summation:left-to-right
8, 3, 4, 5
8+3=11 ; 11+4=15 ; 15+5=20
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(3,5)
D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:right-to-left
0, 3, 3, 8
3+8=11 ; 3+11=14 ; 0+14=14
base_conversion
base_conversion:repeated-division
n=79,base=4
DIV:79/4=19,r:3 ; DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1033
linear_equation_solving
linear_equation_solving:inverse-ops
8x+8=-24
8x+8=-24 ; x=(-24-8)/8 ; x=-32/8 ; x=-4
multidigit_addition
multidigit_addition:left-to-right-partials
967+385
p100:900+300=1200 ; p10:60+80=140 ; p1:7+5=12 ; sum=1200+140+12=1352
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,2) ; G=(1,4)
D:(1,2) ; R:(1,3) ; R:(1,4)
base_conversion
base_conversion:decomposition
n=212,base=16
TERM:13*16^1=208 ; TERM:4*16^0=4 ; OUT:D4
base_conversion
base_conversion:via-binary
n=184,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2320
sorting_algorithms
sorting_algorithms:selection-sort
7, 8, 6, 4, 2
[2,8,6,4,7] ; [2,4,6,8,7] ; [2,4,6,8,7] ; [2,4,6,7,8]
sorting_algorithms
sorting_algorithms:merge-sort
2, 8, 0, 9, 5
[0,2,8,9,5] ; [0,2,5,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
sorting_algorithms
sorting_algorithms:heap-sort
6, 8, 7, 5, 4
[8,6,7,5,4] ; [4,6,7,5,8] ; [7,6,4,5,8] ; [5,6,4,7,8] ; [6,5,4,7,8] ; [4,5,6,7,8] ; [5,4,6,7,8] ; [4,5,6,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
list_summation
list_summation:left-to-right
9, 8, 5, 9
9+8=17 ; 17+5=22 ; 22+9=31
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-24=-64
8x-24=-64 ; 8x=-40 ; x=-5
list_summation
list_summation:left-to-right
3, 5, 2, 6
3+5=8 ; 8+2=10 ; 10+6=16
list_summation
list_summation:pairwise
0, 6, 4, 4
0+6=6 ; 4+4=8 ; 6+8=14
multidigit_addition
multidigit_addition:rounding-decomposition
195+236
round:200+236=436 ; adjust:436-5=431 ; sum=431
list_summation
list_summation:right-to-left
9, 8, 4, 8
4+8=12 ; 8+12=20 ; 9+20=29
base_conversion
base_conversion:repeated-division
n=216,base=4
DIV:216/4=54,r:0 ; DIV:54/4=13,r:2 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3120
multidigit_addition
multidigit_addition:rounding-decomposition
801+178
round:810+178=988 ; adjust:988-9=979 ; sum=979
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(4,3)
D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3)
list_summation
list_summation:right-to-left
8, 2, 6, 0
6+0=6 ; 2+6=8 ; 8+8=16
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+0=24
3x+0=24 ; x+0=8 ; x=8-0 ; x=8
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,2) ; G=(4,3)
D:(4,2) ; R:(4,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(5,3)
R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3)
base_conversion
base_conversion:via-binary
n=213,base=4
BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3111
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,3)
R:(3,3) ; D:(4,3) ; D:(5,3)
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)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)