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:subtract-then-divide
9x+9=-27
9x+9=-27 ; 9x=-36 ; x=-4
multidigit_addition
multidigit_addition:right-to-left-carry
586+302
d2:6+2+0=8→w8,c0 ; d1:8+0+0=8→w8,c0 ; d0:5+3+0=8→w8,c0 ; sum=888
base_conversion
base_conversion:repeated-division
n=1,base=2
DIV:1/2=0,r:1 ; OUT:1
sorting_algorithms
sorting_algorithms:heap-sort
1, 9, 2, 0, 3
[9,1,2,0,3] ; [9,3,2,0,1] ; [1,3,2,0,9] ; [3,1,2,0,9] ; [0,1,2,3,9] ; [2,1,0,3,9] ; [0,1,2,3,9] ; [1,0,2,3,9] ; [0,1,2,3,9]
multidigit_addition
multidigit_addition:rounding-decomposition
801+447
round:810+447=1257 ; adjust:1257-9=1248 ; sum=1248
base_conversion
base_conversion:repeated-division
n=209,base=16
DIV:209/16=13,r:1 ; DIV:13/16=0,r:13 ; OUT:D1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(5,4)
D:(4,3) ; D:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-25=0
5x-25=0 ; x+-5=0 ; x=0--5 ; x=5
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+18=-9
9x+18=-9 ; 9x=-27 ; x=-3
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+63=98
7x+63=98 ; x+9=14 ; x=14-9 ; x=5
multidigit_addition
multidigit_addition:rounding-decomposition
195+152
round:200+152=352 ; adjust:352-5=347 ; sum=347
multidigit_addition
multidigit_addition:rounding-decomposition
842+818
round:850+818=1668 ; adjust:1668-8=1660 ; sum=1660
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(3,2)
D:(2,1) ; D:(3,1) ; R:(3,2)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,5)
R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:heap-sort
8, 9, 7, 6, 0
[9,8,7,6,0] ; [0,8,7,6,9] ; [8,0,7,6,9] ; [8,6,7,0,9] ; [0,6,7,8,9] ; [7,6,0,8,9] ; [0,6,7,8,9] ; [6,0,7,8,9] ; [0,6,7,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
6x+54=78
6x+54=78 ; x=(78-54)/6 ; x=24/6 ; x=4
list_summation
list_summation:pairwise
4, 3, 4, 3
4+3=7 ; 4+3=7 ; 7+7=14
multidigit_addition
multidigit_addition:right-to-left-carry
975+513
d2:5+3+0=8→w8,c0 ; d1:7+1+0=8→w8,c0 ; d0:9+5+0=14→w4,c1 ; sum=1488
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(4,5)
R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5)
multidigit_addition
multidigit_addition:right-to-left-carry
732+399
d2:2+9+0=11→w1,c1 ; d1:3+9+1=13→w3,c1 ; d0:7+3+1=11→w1,c1 ; sum=1131
multidigit_addition
multidigit_addition:right-to-left-carry
292+766
d2:2+6+0=8→w8,c0 ; d1:9+6+0=15→w5,c1 ; d0:2+7+1=10→w0,c1 ; sum=1058
list_summation
list_summation:pairwise
1, 8, 6, 3
1+8=9 ; 6+3=9 ; 9+9=18
multidigit_addition
multidigit_addition:left-to-right-partials
366+913
p100:300+900=1200 ; p10:60+10=70 ; p1:6+3=9 ; sum=1200+70+9=1279
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+9=-36
9x+9=-36 ; 9x=-45 ; x=-5
base_conversion
base_conversion:decomposition
n=226,base=8
TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:342
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x+8=2
2x+8=2 ; 2x=-6 ; x=-3
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,3) ; G=(3,4)
R:(1,4) ; D:(2,4) ; D:(3,4)
list_summation
list_summation:pairwise
1, 9, 2, 9
1+9=10 ; 2+9=11 ; 10+11=21
list_summation
list_summation:right-to-left
2, 0, 3, 7
3+7=10 ; 0+10=10 ; 2+10=12
list_summation
list_summation:left-to-right
1, 4, 6, 0
1+4=5 ; 5+6=11 ; 11+0=11
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+49=91
7x+49=91 ; 7x=42 ; x=6
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+18=27
9x+18=27 ; x+2=3 ; x=3-2 ; x=1
multidigit_addition
multidigit_addition:right-to-left-carry
253+793
d2:3+3+0=6→w6,c0 ; d1:5+9+0=14→w4,c1 ; d0:2+7+1=10→w0,c1 ; sum=1046
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x+0=-72
9x+0=-72 ; 9x=-72 ; x=-8
multidigit_addition
multidigit_addition:left-to-right-partials
542+806
p100:500+800=1300 ; p10:40+0=40 ; p1:2+6=8 ; sum=1300+40+8=1348
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(4,4)
D:(3,3) ; D:(4,3) ; R:(4,4)
list_summation
list_summation:right-to-left
7, 2, 0, 5
0+5=5 ; 2+5=7 ; 7+7=14
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(3,5)
R:(2,4) ; R:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:rounding-decomposition
233+605
round:240+605=845 ; adjust:845-7=838 ; sum=838
list_summation
list_summation:right-to-left
6, 5, 3, 7
3+7=10 ; 5+10=15 ; 6+15=21
multidigit_addition
multidigit_addition:rounding-decomposition
961+807
round:970+807=1777 ; adjust:1777-9=1768 ; sum=1768
multidigit_addition
multidigit_addition:right-to-left-carry
647+175
d2:7+5+0=12→w2,c1 ; d1:4+7+1=12→w2,c1 ; d0:6+1+1=8→w8,c0 ; sum=822
base_conversion
base_conversion:decomposition
n=221,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:3131
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,4)
D:(5,2) ; R:(5,3) ; R:(5,4)
list_summation
list_summation:pairwise
3, 9, 8, 0
3+9=12 ; 8+0=8 ; 12+8=20
sorting_algorithms
sorting_algorithms:merge-sort
7, 6, 1, 8, 2
[6,7,1,8,2] ; [1,6,7,8,2] ; [1,2,6,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-40=-72
8x-40=-72 ; 8x=-32 ; x=-4
list_summation
list_summation:right-to-left
6, 7, 6, 2
6+2=8 ; 7+8=15 ; 6+15=21
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; D:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,2)
R:(4,2) ; D:(5,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,2) ; G=(5,4)
D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4)
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)
multidigit_addition
multidigit_addition:right-to-left-carry
884+680
d2:4+0+0=4→w4,c0 ; d1:8+8+0=16→w6,c1 ; d0:8+6+1=15→w5,c1 ; sum=1564
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-18=-10
2x-18=-10 ; x+-9=-5 ; x=-5--9 ; x=4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,0) ; G=(5,5)
R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-16=-72
8x-16=-72 ; 8x=-56 ; x=-7
list_summation
list_summation:pairwise
9, 6, 5, 7
9+6=15 ; 5+7=12 ; 15+12=27
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+30=0
6x+30=0 ; x+5=0 ; x=0-5 ; x=-5
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+14=-42
7x+14=-42 ; 7x=-56 ; x=-8
multidigit_addition
multidigit_addition:left-to-right-partials
445+898
p100:400+800=1200 ; p10:40+90=130 ; p1:5+8=13 ; sum=1200+130+13=1343
linear_equation_solving
linear_equation_solving:inverse-ops
2x+14=8
2x+14=8 ; x=(8-14)/2 ; x=-6/2 ; x=-3
sorting_algorithms
sorting_algorithms:selection-sort
9, 2, 5, 4, 1
[1,2,5,4,9] ; [1,2,5,4,9] ; [1,2,4,5,9] ; [1,2,4,5,9]
linear_equation_solving
linear_equation_solving:inverse-ops
5x+15=0
5x+15=0 ; x=(0-15)/5 ; x=-15/5 ; x=-3
list_summation
list_summation:pairwise
6, 6, 9, 2
6+6=12 ; 9+2=11 ; 12+11=23
multidigit_addition
multidigit_addition:rounding-decomposition
775+199
round:780+199=979 ; adjust:979-5=974 ; sum=974
list_summation
list_summation:left-to-right
8, 6, 2, 4
8+6=14 ; 14+2=16 ; 16+4=20
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,1) ; G=(5,3)
R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3)
sorting_algorithms
sorting_algorithms:selection-sort
2, 9, 3, 1, 8
[1,9,3,2,8] ; [1,2,3,9,8] ; [1,2,3,9,8] ; [1,2,3,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,5)
D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
4x+8=24
4x+8=24 ; x=(24-8)/4 ; x=16/4 ; x=4
list_summation
list_summation:pairwise
7, 4, 4, 9
7+4=11 ; 4+9=13 ; 11+13=24
multidigit_addition
multidigit_addition:left-to-right-partials
789+151
p100:700+100=800 ; p10:80+50=130 ; p1:9+1=10 ; sum=800+130+10=940
sorting_algorithms
sorting_algorithms:heap-sort
3, 5, 7, 2, 0
[7,5,3,2,0] ; [0,5,3,2,7] ; [5,0,3,2,7] ; [5,2,3,0,7] ; [0,2,3,5,7] ; [3,2,0,5,7] ; [0,2,3,5,7] ; [2,0,3,5,7] ; [0,2,3,5,7]
base_conversion
base_conversion:via-binary
n=189,base=16
BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:13 ; OUT:BD
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+63=-9
9x+63=-9 ; x+7=-1 ; x=-1-7 ; x=-8
sorting_algorithms
sorting_algorithms:merge-sort
6, 4, 9, 0, 1
[4,6,9,0,1] ; [4,6,0,9,1] ; [0,4,6,9,1] ; [0,1,4,6,9]
linear_equation_solving
linear_equation_solving:inverse-ops
6x+24=42
6x+24=42 ; x=(42-24)/6 ; x=18/6 ; x=3
base_conversion
base_conversion:via-binary
n=7,base=4
BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:3 ; OUT:13
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(3,5)
D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
multidigit_addition
multidigit_addition:rounding-decomposition
783+713
round:790+713=1503 ; adjust:1503-7=1496 ; sum=1496
multidigit_addition
multidigit_addition:left-to-right-partials
773+384
p100:700+300=1000 ; p10:70+80=150 ; p1:3+4=7 ; sum=1000+150+7=1157
base_conversion
base_conversion:decomposition
n=53,base=16
TERM:3*16^1=48 ; TERM:5*16^0=5 ; OUT:35
sorting_algorithms
sorting_algorithms:insertion-sort
3, 8, 1, 7, 6
[3,8,1,7,6] ; [1,3,8,7,6] ; [1,3,7,8,6] ; [1,3,6,7,8]
sorting_algorithms
sorting_algorithms:heap-sort
6, 7, 5, 3, 2
[7,6,5,3,2] ; [2,6,5,3,7] ; [6,2,5,3,7] ; [6,3,5,2,7] ; [2,3,5,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7]
base_conversion
base_conversion:via-binary
n=210,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11010010
list_summation
list_summation:right-to-left
0, 8, 6, 0
6+0=6 ; 8+6=14 ; 0+14=14
list_summation
list_summation:pairwise
9, 6, 1, 7
9+6=15 ; 1+7=8 ; 15+8=23
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+0=6
2x+0=6 ; x+0=3 ; x=3-0 ; x=3
sorting_algorithms
sorting_algorithms:merge-sort
2, 1, 6, 9, 8
[1,2,6,9,8] ; [1,2,6,8,9]
base_conversion
base_conversion:decomposition
n=77,base=8
TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:5*8^0=5 ; OUT:115
multidigit_addition
multidigit_addition:right-to-left-carry
612+128
d2:2+8+0=10→w0,c1 ; d1:1+2+1=4→w4,c0 ; d0:6+1+0=7→w7,c0 ; sum=740
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+49=56
7x+49=56 ; x+7=8 ; x=8-7 ; x=1
multidigit_addition
multidigit_addition:right-to-left-carry
449+814
d2:9+4+0=13→w3,c1 ; d1:4+1+1=6→w6,c0 ; d0:4+8+0=12→w2,c1 ; sum=1263
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,2)
R:(2,2) ; D:(3,2)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x+16=40
8x+16=40 ; 8x=24 ; x=3
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+30=60
5x+30=60 ; x+6=12 ; x=12-6 ; x=6
base_conversion
base_conversion:via-binary
n=250,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11111010
list_summation
list_summation:left-to-right
4, 7, 8, 0
4+7=11 ; 11+8=19 ; 19+0=19