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:inverse-ops
9x-45=-18
9x-45=-18 ; x=(-18--45)/9 ; x=27/9 ; x=3
base_conversion
base_conversion:repeated-division
n=92,base=2
DIV:92/2=46,r:0 ; DIV:46/2=23,r:0 ; DIV:23/2=11,r:1 ; 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:1011100
list_summation
list_summation:pairwise
9, 5, 9, 0
9+5=14 ; 9+0=9 ; 14+9=23
multidigit_addition
multidigit_addition:right-to-left-carry
313+343
d2:3+3+0=6→w6,c0 ; d1:1+4+0=5→w5,c0 ; d0:3+3+0=6→w6,c0 ; sum=656
base_conversion
base_conversion:decomposition
n=151,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:2113
multidigit_addition
multidigit_addition:right-to-left-carry
269+309
d2:9+9+0=18→w8,c1 ; d1:6+0+1=7→w7,c0 ; d0:2+3+0=5→w5,c0 ; sum=578
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-21=-15
3x-21=-15 ; 3x=6 ; x=2
multidigit_addition
multidigit_addition:left-to-right-partials
962+134
p100:900+100=1000 ; p10:60+30=90 ; p1:2+4=6 ; sum=1000+90+6=1096
sorting_algorithms
sorting_algorithms:bubble-sort
4, 1, 9, 0, 5
[1,4,9,0,5] ; [1,4,0,9,5] ; [1,4,0,5,9] ; [1,0,4,5,9] ; [0,1,4,5,9]
multidigit_addition
multidigit_addition:right-to-left-carry
537+162
d2:7+2+0=9→w9,c0 ; d1:3+6+0=9→w9,c0 ; d0:5+1+0=6→w6,c0 ; sum=699
list_summation
list_summation:left-to-right
7, 9, 9, 8
7+9=16 ; 16+9=25 ; 25+8=33
sorting_algorithms
sorting_algorithms:bubble-sort
7, 2, 1, 0, 4
[2,7,1,0,4] ; [2,1,7,0,4] ; [2,1,0,7,4] ; [2,1,0,4,7] ; [1,2,0,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7]
multidigit_addition
multidigit_addition:rounding-decomposition
954+980
round:960+980=1940 ; adjust:1940-6=1934 ; sum=1934
list_summation
list_summation:right-to-left
1, 6, 9, 5
9+5=14 ; 6+14=20 ; 1+20=21
list_summation
list_summation:pairwise
6, 0, 8, 3
6+0=6 ; 8+3=11 ; 6+11=17
multidigit_addition
multidigit_addition:rounding-decomposition
387+892
round:390+892=1282 ; adjust:1282-3=1279 ; sum=1279
multidigit_addition
multidigit_addition:right-to-left-carry
230+283
d2:0+3+0=3→w3,c0 ; d1:3+8+0=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=513
multidigit_addition
multidigit_addition:right-to-left-carry
750+547
d2:0+7+0=7→w7,c0 ; d1:5+4+0=9→w9,c0 ; d0:7+5+0=12→w2,c1 ; sum=1297
base_conversion
base_conversion:repeated-division
n=17,base=16
DIV:17/16=1,r:1 ; DIV:1/16=0,r:1 ; OUT:11
list_summation
list_summation:left-to-right
0, 6, 2, 0
0+6=6 ; 6+2=8 ; 8+0=8
list_summation
list_summation:right-to-left
3, 4, 2, 1
2+1=3 ; 4+3=7 ; 3+7=10
sorting_algorithms
sorting_algorithms:selection-sort
7, 1, 3, 0, 5
[0,1,3,7,5] ; [0,1,3,7,5] ; [0,1,3,7,5] ; [0,1,3,5,7]
sorting_algorithms
sorting_algorithms:insertion-sort
7, 1, 5, 0, 6
[1,7,5,0,6] ; [1,5,7,0,6] ; [0,1,5,7,6] ; [0,1,5,6,7]
multidigit_addition
multidigit_addition:right-to-left-carry
221+171
d2:1+1+0=2→w2,c0 ; d1:2+7+0=9→w9,c0 ; d0:2+1+0=3→w3,c0 ; sum=392
multidigit_addition
multidigit_addition:left-to-right-partials
209+430
p100:200+400=600 ; p10:0+30=30 ; p1:9+0=9 ; sum=600+30+9=639
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,1)
D:(4,0) ; R:(4,1)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,0) ; G=(3,1)
R:(2,1) ; D:(3,1)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(5,4)
R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:rounding-decomposition
795+353
round:800+353=1153 ; adjust:1153-5=1148 ; sum=1148
sorting_algorithms
sorting_algorithms:heap-sort
3, 7, 5, 4, 2
[7,3,5,4,2] ; [7,4,5,3,2] ; [2,4,5,3,7] ; [5,4,2,3,7] ; [3,4,2,5,7] ; [4,3,2,5,7] ; [2,3,4,5,7] ; [3,2,4,5,7] ; [2,3,4,5,7]
list_summation
list_summation:left-to-right
7, 7, 5, 6
7+7=14 ; 14+5=19 ; 19+6=25
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
linear_equation_solving
linear_equation_solving:inverse-ops
6x-6=-24
6x-6=-24 ; x=(-24--6)/6 ; x=-18/6 ; x=-3
list_summation
list_summation:pairwise
8, 8, 8, 0
8+8=16 ; 8+0=8 ; 16+8=24
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+18=12
3x+18=12 ; 3x=-6 ; x=-2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x-49=-112
7x-49=-112 ; x+-7=-16 ; x=-16--7 ; x=-9
sorting_algorithms
sorting_algorithms:heap-sort
8, 4, 3, 9, 6
[8,9,3,4,6] ; [9,8,3,4,6] ; [6,8,3,4,9] ; [8,6,3,4,9] ; [4,6,3,8,9] ; [6,4,3,8,9] ; [3,4,6,8,9] ; [4,3,6,8,9] ; [3,4,6,8,9]
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-10=-35
5x-10=-35 ; 5x=-25 ; x=-5
base_conversion
base_conversion:repeated-division
n=208,base=2
DIV:208/2=104,r:0 ; DIV:104/2=52,r:0 ; DIV:52/2=26,r:0 ; 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:11010000
multidigit_addition
multidigit_addition:left-to-right-partials
959+283
p100:900+200=1100 ; p10:50+80=130 ; p1:9+3=12 ; sum=1100+130+12=1242
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,0) ; G=(4,4)
D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4)
multidigit_addition
multidigit_addition:left-to-right-partials
394+296
p100:300+200=500 ; p10:90+90=180 ; p1:4+6=10 ; sum=500+180+10=690
multidigit_addition
multidigit_addition:left-to-right-partials
580+694
p100:500+600=1100 ; p10:80+90=170 ; p1:0+4=4 ; sum=1100+170+4=1274
list_summation
list_summation:left-to-right
5, 6, 4, 4
5+6=11 ; 11+4=15 ; 15+4=19
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(3,5)
D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5)
list_summation
list_summation:left-to-right
4, 6, 3, 5
4+6=10 ; 10+3=13 ; 13+5=18
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,4) ; G=(5,5)
D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:selection-sort
7, 3, 2, 6, 9
[2,3,7,6,9] ; [2,3,7,6,9] ; [2,3,6,7,9] ; [2,3,6,7,9]
multidigit_addition
multidigit_addition:left-to-right-partials
356+439
p100:300+400=700 ; p10:50+30=80 ; p1:6+9=15 ; sum=700+80+15=795
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; D:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
333+972
d2:3+2+0=5→w5,c0 ; d1:3+7+0=10→w0,c1 ; d0:3+9+1=13→w3,c1 ; sum=1305
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,4)
R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
base_conversion
base_conversion:repeated-division
n=49,base=4
DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:301
sorting_algorithms
sorting_algorithms:merge-sort
5, 0, 6, 9, 4
[0,5,6,9,4] ; [0,4,5,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
590+654
round:590+654=1244 ; adjust:1244-0=1244 ; sum=1244
list_summation
list_summation:pairwise
8, 5, 2, 4
8+5=13 ; 2+4=6 ; 13+6=19
base_conversion
base_conversion:via-binary
n=14,base=4
BINLEN:4 ; CHUNK:0:3 ; CHUNK:1:2 ; OUT:32
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x+72=56
8x+72=56 ; x+9=7 ; x=7-9 ; x=-2
linear_equation_solving
linear_equation_solving:inverse-ops
5x+30=-5
5x+30=-5 ; x=(-5-30)/5 ; x=-35/5 ; x=-7
sorting_algorithms
sorting_algorithms:merge-sort
8, 5, 1, 7, 3
[5,8,1,7,3] ; [1,5,7,8,3] ; [1,3,5,7,8]
linear_equation_solving
linear_equation_solving:inverse-ops
2x+16=10
2x+16=10 ; x=(10-16)/2 ; x=-6/2 ; x=-3
base_conversion
base_conversion:decomposition
n=107,base=16
TERM:6*16^1=96 ; TERM:11*16^0=11 ; OUT:6B
base_conversion
base_conversion:via-binary
n=22,base=8
BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:6 ; OUT:26
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+24=-30
6x+24=-30 ; 6x=-54 ; x=-9
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-5=20
5x-5=20 ; 5x=25 ; x=5
multidigit_addition
multidigit_addition:right-to-left-carry
391+914
d2:1+4+0=5→w5,c0 ; d1:9+1+0=10→w0,c1 ; d0:3+9+1=13→w3,c1 ; sum=1305
linear_equation_solving
linear_equation_solving:inverse-ops
2x+18=12
2x+18=12 ; x=(12-18)/2 ; x=-6/2 ; x=-3
list_summation
list_summation:right-to-left
6, 3, 9, 7
9+7=16 ; 3+16=19 ; 6+19=25
multidigit_addition
multidigit_addition:left-to-right-partials
972+253
p100:900+200=1100 ; p10:70+50=120 ; p1:2+3=5 ; sum=1100+120+5=1225
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,3) ; G=(1,4)
D:(1,3) ; R:(1,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-12=0
6x-12=0 ; 6x=12 ; x=2
sorting_algorithms
sorting_algorithms:merge-sort
9, 7, 8, 3, 4
[7,9,8,3,4] ; [7,9,3,8,4] ; [3,7,8,9,4] ; [3,4,7,8,9]
list_summation
list_summation:right-to-left
2, 6, 8, 5
8+5=13 ; 6+13=19 ; 2+19=21
list_summation
list_summation:left-to-right
3, 7, 5, 2
3+7=10 ; 10+5=15 ; 15+2=17
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
234+888
round:240+888=1128 ; adjust:1128-6=1122 ; sum=1122
multidigit_addition
multidigit_addition:right-to-left-carry
192+871
d2:2+1+0=3→w3,c0 ; d1:9+7+0=16→w6,c1 ; d0:1+8+1=10→w0,c1 ; sum=1063
list_summation
list_summation:pairwise
8, 1, 7, 5
8+1=9 ; 7+5=12 ; 9+12=21
sorting_algorithms
sorting_algorithms:bubble-sort
2, 3, 1, 8, 5
[2,1,3,8,5] ; [2,1,3,5,8] ; [1,2,3,5,8]
multidigit_addition
multidigit_addition:left-to-right-partials
285+455
p100:200+400=600 ; p10:80+50=130 ; p1:5+5=10 ; sum=600+130+10=740
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,0) ; G=(5,4)
R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4)
base_conversion
base_conversion:via-binary
n=144,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:220
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)
base_conversion
base_conversion:repeated-division
n=127,base=16
DIV:127/16=7,r:15 ; DIV:7/16=0,r:7 ; OUT:7F
base_conversion
base_conversion:via-binary
n=178,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2302
sorting_algorithms
sorting_algorithms:selection-sort
9, 7, 3, 1, 6
[1,7,3,9,6] ; [1,3,7,9,6] ; [1,3,6,9,7] ; [1,3,6,7,9]
list_summation
list_summation:right-to-left
1, 6, 9, 5
9+5=14 ; 6+14=20 ; 1+20=21
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(5,5)
D:(4,4) ; D:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(5,5)
R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
705+178
p100:700+100=800 ; p10:0+70=70 ; p1:5+8=13 ; sum=800+70+13=883
linear_equation_solving
linear_equation_solving:inverse-ops
9x+36=27
9x+36=27 ; x=(27-36)/9 ; x=-9/9 ; x=-1
base_conversion
base_conversion:decomposition
n=146,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:2102
sorting_algorithms
sorting_algorithms:merge-sort
6, 7, 8, 5, 9
[6,7,5,8,9] ; [5,6,7,8,9]
base_conversion
base_conversion:decomposition
n=52,base=16
TERM:3*16^1=48 ; TERM:4*16^0=4 ; OUT:34
list_summation
list_summation:pairwise
2, 9, 1, 1
2+9=11 ; 1+1=2 ; 11+2=13
sorting_algorithms
sorting_algorithms:merge-sort
2, 7, 5, 3, 6
[2,7,3,5,6] ; [2,3,5,7,6] ; [2,3,5,6,7]