task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
list_summation
list_summation:left-to-right
5, 6, 0, 0
5+6=11 ; 11+0=11 ; 11+0=11
base_conversion
base_conversion:decomposition
n=204,base=4
TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:3030
multidigit_addition
multidigit_addition:rounding-decomposition
743+754
round:750+754=1504 ; adjust:1504-7=1497 ; sum=1497
sorting_algorithms
sorting_algorithms:bubble-sort
1, 8, 9, 7, 3
[1,8,7,9,3] ; [1,8,7,3,9] ; [1,7,8,3,9] ; [1,7,3,8,9] ; [1,3,7,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
2, 1, 3, 5, 4
[1,2,3,5,4] ; [1,2,3,4,5]
base_conversion
base_conversion:via-binary
n=84,base=16
BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54
sorting_algorithms
sorting_algorithms:merge-sort
0, 7, 1, 4, 8
[0,1,4,7,8]
list_summation
list_summation:left-to-right
2, 0, 6, 3
2+0=2 ; 2+6=8 ; 8+3=11
multidigit_addition
multidigit_addition:rounding-decomposition
792+151
round:800+151=951 ; adjust:951-8=943 ; sum=943
sorting_algorithms
sorting_algorithms:heap-sort
4, 6, 3, 0, 5
[6,4,3,0,5] ; [6,5,3,0,4] ; [4,5,3,0,6] ; [5,4,3,0,6] ; [0,4,3,5,6] ; [4,0,3,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6]
list_summation
list_summation:left-to-right
1, 9, 9, 2
1+9=10 ; 10+9=19 ; 19+2=21
sorting_algorithms
sorting_algorithms:merge-sort
1, 6, 9, 7, 8
[1,6,7,9,8] ; [1,6,7,8,9]
sorting_algorithms
sorting_algorithms:insertion-sort
6, 4, 8, 1, 7
[4,6,8,1,7] ; [4,6,8,1,7] ; [1,4,6,8,7] ; [1,4,6,7,8]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(5,5)
D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
4, 5, 8, 2, 6
[4,5,2,8,6] ; [4,5,2,6,8] ; [4,2,5,6,8] ; [2,4,5,6,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-81=-135
9x-81=-135 ; 9x=-54 ; x=-6
list_summation
list_summation:left-to-right
0, 0, 7, 0
0+0=0 ; 0+7=7 ; 7+0=7
sorting_algorithms
sorting_algorithms:selection-sort
0, 3, 7, 2, 9
[0,3,7,2,9] ; [0,2,7,3,9] ; [0,2,3,7,9] ; [0,2,3,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(4,5)
R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
223+587
round:230+587=817 ; adjust:817-7=810 ; sum=810
sorting_algorithms
sorting_algorithms:selection-sort
6, 3, 0, 9, 7
[0,3,6,9,7] ; [0,3,6,9,7] ; [0,3,6,9,7] ; [0,3,6,7,9]
multidigit_addition
multidigit_addition:left-to-right-partials
735+980
p100:700+900=1600 ; p10:30+80=110 ; p1:5+0=5 ; sum=1600+110+5=1715
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-9=-18
9x-9=-18 ; x+-1=-2 ; x=-2--1 ; x=-1
sorting_algorithms
sorting_algorithms:insertion-sort
9, 2, 1, 0, 7
[2,9,1,0,7] ; [1,2,9,0,7] ; [0,1,2,9,7] ; [0,1,2,7,9]
base_conversion
base_conversion:repeated-division
n=59,base=16
DIV:59/16=3,r:11 ; DIV:3/16=0,r:3 ; OUT:3B
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+0=45
5x+0=45 ; 5x=45 ; x=9
multidigit_addition
multidigit_addition:rounding-decomposition
377+499
round:380+499=879 ; adjust:879-3=876 ; sum=876
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,2) ; G=(4,4)
R:(3,3) ; R:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:selection-sort
8, 0, 2, 4, 3
[0,8,2,4,3] ; [0,2,8,4,3] ; [0,2,3,4,8] ; [0,2,3,4,8]
sorting_algorithms
sorting_algorithms:selection-sort
9, 4, 5, 1, 6
[1,4,5,9,6] ; [1,4,5,9,6] ; [1,4,5,9,6] ; [1,4,5,6,9]
multidigit_addition
multidigit_addition:left-to-right-partials
945+397
p100:900+300=1200 ; p10:40+90=130 ; p1:5+7=12 ; sum=1200+130+12=1342
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,4) ; G=(4,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,1)
R:(3,1) ; D:(4,1) ; D:(5,1)
list_summation
list_summation:pairwise
7, 5, 1, 3
7+5=12 ; 1+3=4 ; 12+4=16
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-54=-30
6x-54=-30 ; x+-9=-5 ; x=-5--9 ; x=4
list_summation
list_summation:pairwise
4, 6, 6, 9
4+6=10 ; 6+9=15 ; 10+15=25
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(3,5)
D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5)
sorting_algorithms
sorting_algorithms:selection-sort
0, 1, 4, 8, 7
[0,1,4,8,7] ; [0,1,4,8,7] ; [0,1,4,8,7] ; [0,1,4,7,8]
multidigit_addition
multidigit_addition:rounding-decomposition
581+617
round:590+617=1207 ; adjust:1207-9=1198 ; sum=1198
list_summation
list_summation:left-to-right
9, 5, 6, 4
9+5=14 ; 14+6=20 ; 20+4=24
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:left-to-right-partials
571+844
p100:500+800=1300 ; p10:70+40=110 ; p1:1+4=5 ; sum=1300+110+5=1415
sorting_algorithms
sorting_algorithms:insertion-sort
7, 2, 4, 8, 3
[2,7,4,8,3] ; [2,4,7,8,3] ; [2,4,7,8,3] ; [2,3,4,7,8]
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+14=-49
7x+14=-49 ; 7x=-63 ; x=-9
list_summation
list_summation:pairwise
2, 0, 2, 7
2+0=2 ; 2+7=9 ; 2+9=11
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(1,1) ; G=(3,2)
D:(2,1) ; D:(3,1) ; R:(3,2)
multidigit_addition
multidigit_addition:rounding-decomposition
771+774
round:780+774=1554 ; adjust:1554-9=1545 ; sum=1545
base_conversion
base_conversion:via-binary
n=176,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2300
base_conversion
base_conversion:decomposition
n=236,base=16
TERM:14*16^1=224 ; TERM:12*16^0=12 ; OUT:EC
base_conversion
base_conversion:via-binary
n=86,base=16
BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:6 ; OUT:56
sorting_algorithms
sorting_algorithms:insertion-sort
6, 8, 9, 0, 7
[6,8,9,0,7] ; [6,8,9,0,7] ; [0,6,8,9,7] ; [0,6,7,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
6x-48=-102
6x-48=-102 ; x=(-102--48)/6 ; x=-54/6 ; x=-9
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+21=70
7x+21=70 ; 7x=49 ; x=7
linear_equation_solving
linear_equation_solving:inverse-ops
8x-64=0
8x-64=0 ; x=(0--64)/8 ; x=64/8 ; x=8
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,1) ; G=(4,4)
R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4)
list_summation
list_summation:right-to-left
7, 4, 1, 1
1+1=2 ; 4+2=6 ; 7+6=13
sorting_algorithms
sorting_algorithms:selection-sort
1, 9, 3, 0, 8
[0,9,3,1,8] ; [0,1,3,9,8] ; [0,1,3,9,8] ; [0,1,3,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
911+903
round:920+903=1823 ; adjust:1823-9=1814 ; sum=1814
linear_equation_solving
linear_equation_solving:inverse-ops
7x+42=56
7x+42=56 ; x=(56-42)/7 ; x=14/7 ; x=2
base_conversion
base_conversion:repeated-division
n=29,base=16
DIV:29/16=1,r:13 ; DIV:1/16=0,r:1 ; OUT:1D
list_summation
list_summation:left-to-right
5, 0, 2, 7
5+0=5 ; 5+2=7 ; 7+7=14
base_conversion
base_conversion:decomposition
n=15,base=4
TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:33
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,5)
D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:heap-sort
3, 4, 1, 5, 2
[3,5,1,4,2] ; [5,3,1,4,2] ; [5,4,1,3,2] ; [2,4,1,3,5] ; [4,2,1,3,5] ; [4,3,1,2,5] ; [2,3,1,4,5] ; [3,2,1,4,5] ; [1,2,3,4,5] ; [2,1,3,4,5] ; [1,2,3,4,5]
multidigit_addition
multidigit_addition:right-to-left-carry
727+963
d2:7+3+0=10→w0,c1 ; d1:2+6+1=9→w9,c0 ; d0:7+9+0=16→w6,c1 ; sum=1690
sorting_algorithms
sorting_algorithms:insertion-sort
2, 5, 9, 8, 0
[2,5,9,8,0] ; [2,5,9,8,0] ; [2,5,8,9,0] ; [0,2,5,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
8, 9, 1, 5, 0
[1,5,8,9,0] ; [0,1,5,8,9]
list_summation
list_summation:right-to-left
1, 5, 0, 9
0+9=9 ; 5+9=14 ; 1+14=15
list_summation
list_summation:left-to-right
7, 9, 5, 7
7+9=16 ; 16+5=21 ; 21+7=28
multidigit_addition
multidigit_addition:right-to-left-carry
572+344
d2:2+4+0=6→w6,c0 ; d1:7+4+0=11→w1,c1 ; d0:5+3+1=9→w9,c0 ; sum=916
linear_equation_solving
linear_equation_solving:inverse-ops
4x+36=56
4x+36=56 ; x=(56-36)/4 ; x=20/4 ; x=5
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,0) ; G=(4,5)
R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(5,5)
D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5)
sorting_algorithms
sorting_algorithms:insertion-sort
2, 6, 7, 5, 9
[2,6,7,5,9] ; [2,6,7,5,9] ; [2,5,6,7,9] ; [2,5,6,7,9]
base_conversion
base_conversion:repeated-division
n=233,base=8
DIV:233/8=29,r:1 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:351
sorting_algorithms
sorting_algorithms:selection-sort
7, 8, 3, 4, 5
[3,8,7,4,5] ; [3,4,7,8,5] ; [3,4,5,8,7] ; [3,4,5,7,8]
list_summation
list_summation:pairwise
2, 9, 6, 5
2+9=11 ; 6+5=11 ; 11+11=22
list_summation
list_summation:left-to-right
6, 4, 1, 5
6+4=10 ; 10+1=11 ; 11+5=16
sorting_algorithms
sorting_algorithms:bubble-sort
5, 1, 3, 4, 6
[1,5,3,4,6] ; [1,3,5,4,6] ; [1,3,4,5,6]
list_summation
list_summation:left-to-right
1, 2, 4, 1
1+2=3 ; 3+4=7 ; 7+1=8
multidigit_addition
multidigit_addition:right-to-left-carry
542+774
d2:2+4+0=6→w6,c0 ; d1:4+7+0=11→w1,c1 ; d0:5+7+1=13→w3,c1 ; sum=1316
base_conversion
base_conversion:repeated-division
n=233,base=2
DIV:233/2=116,r:1 ; DIV:116/2=58,r:0 ; 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:11101001
multidigit_addition
multidigit_addition:left-to-right-partials
957+615
p100:900+600=1500 ; p10:50+10=60 ; p1:7+5=12 ; sum=1500+60+12=1572
list_summation
list_summation:left-to-right
3, 1, 2, 0
3+1=4 ; 4+2=6 ; 6+0=6
multidigit_addition
multidigit_addition:rounding-decomposition
967+437
round:970+437=1407 ; adjust:1407-3=1404 ; sum=1404
sorting_algorithms
sorting_algorithms:insertion-sort
5, 0, 4, 8, 7
[0,5,4,8,7] ; [0,4,5,8,7] ; [0,4,5,8,7] ; [0,4,5,7,8]
list_summation
list_summation:right-to-left
1, 5, 0, 9
0+9=9 ; 5+9=14 ; 1+14=15
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-81=-153
9x-81=-153 ; 9x=-72 ; x=-8
sorting_algorithms
sorting_algorithms:heap-sort
2, 0, 4, 3, 9
[2,9,4,3,0] ; [9,2,4,3,0] ; [9,3,4,2,0] ; [0,3,4,2,9] ; [4,3,0,2,9] ; [2,3,0,4,9] ; [3,2,0,4,9] ; [0,2,3,4,9] ; [2,0,3,4,9] ; [0,2,3,4,9]
list_summation
list_summation:pairwise
1, 6, 8, 3
1+6=7 ; 8+3=11 ; 7+11=18
list_summation
list_summation:left-to-right
7, 4, 8, 2
7+4=11 ; 11+8=19 ; 19+2=21
list_summation
list_summation:pairwise
0, 5, 4, 0
0+5=5 ; 4+0=4 ; 5+4=9
multidigit_addition
multidigit_addition:left-to-right-partials
219+750
p100:200+700=900 ; p10:10+50=60 ; p1:9+0=9 ; sum=900+60+9=969
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,0) ; G=(5,2)
D:(5,0) ; R:(5,1) ; R:(5,2)
base_conversion
base_conversion:repeated-division
n=116,base=16
DIV:116/16=7,r:4 ; DIV:7/16=0,r:7 ; OUT:74
list_summation
list_summation:pairwise
3, 5, 6, 8
3+5=8 ; 6+8=14 ; 8+14=22
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,2) ; G=(2,5)
R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,0) ; G=(1,1)
R:(0,1) ; D:(1,1)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,2) ; G=(2,4)
R:(1,3) ; D:(2,3) ; R:(2,4)
list_summation
list_summation:pairwise
7, 2, 5, 8
7+2=9 ; 5+8=13 ; 9+13=22