task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
multidigit_addition
multidigit_addition:rounding-decomposition
995+886
round:1000+886=1886 ; adjust:1886-5=1881 ; sum=1881
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:divide-then-subtract
7x-35=-42
7x-35=-42 ; x+-5=-6 ; x=-6--5 ; x=-1
list_summation
list_summation:left-to-right
1, 1, 8, 9
1+1=2 ; 2+8=10 ; 10+9=19
list_summation
list_summation:pairwise
4, 1, 1, 2
4+1=5 ; 1+2=3 ; 5+3=8
list_summation
list_summation:right-to-left
5, 1, 3, 4
3+4=7 ; 1+7=8 ; 5+8=13
multidigit_addition
multidigit_addition:rounding-decomposition
185+281
round:190+281=471 ; adjust:471-5=466 ; sum=466
linear_equation_solving
linear_equation_solving:divide-then-subtract
7x+0=-28
7x+0=-28 ; x+0=-4 ; x=-4-0 ; x=-4
list_summation
list_summation:left-to-right
0, 5, 2, 7
0+5=5 ; 5+2=7 ; 7+7=14
sorting_algorithms
sorting_algorithms:bubble-sort
6, 4, 9, 5, 2
[4,6,9,5,2] ; [4,6,5,9,2] ; [4,6,5,2,9] ; [4,5,6,2,9] ; [4,5,2,6,9] ; [4,2,5,6,9] ; [2,4,5,6,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(4,5)
R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
sorting_algorithms
sorting_algorithms:bubble-sort
2, 7, 4, 9, 8
[2,4,7,9,8] ; [2,4,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; R:(4,2) ; D:(5,2)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 8, 2, 5, 7
[0,8,2,5,7] ; [0,2,8,5,7] ; [0,2,5,8,7] ; [0,2,5,7,8]
base_conversion
base_conversion:via-binary
n=58,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:322
base_conversion
base_conversion:repeated-division
n=12,base=16
DIV:12/16=0,r:12 ; OUT:C
list_summation
list_summation:right-to-left
1, 0, 4, 3
4+3=7 ; 0+7=7 ; 1+7=8
base_conversion
base_conversion:via-binary
n=139,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:11 ; OUT:8B
multidigit_addition
multidigit_addition:right-to-left-carry
371+576
d2:1+6+0=7→w7,c0 ; d1:7+7+0=14→w4,c1 ; d0:3+5+1=9→w9,c0 ; sum=947
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(5,4)
R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
sorting_algorithms
sorting_algorithms:selection-sort
8, 3, 1, 2, 7
[1,3,8,2,7] ; [1,2,8,3,7] ; [1,2,3,8,7] ; [1,2,3,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
1, 6, 0, 3, 4
[1,0,6,3,4] ; [1,0,3,6,4] ; [1,0,3,4,6] ; [0,1,3,4,6]
sorting_algorithms
sorting_algorithms:bubble-sort
6, 5, 3, 7, 2
[5,6,3,7,2] ; [5,3,6,7,2] ; [5,3,6,2,7] ; [3,5,6,2,7] ; [3,5,2,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7]
multidigit_addition
multidigit_addition:left-to-right-partials
692+560
p100:600+500=1100 ; p10:90+60=150 ; p1:2+0=2 ; sum=1100+150+2=1252
multidigit_addition
multidigit_addition:right-to-left-carry
907+985
d2:7+5+0=12→w2,c1 ; d1:0+8+1=9→w9,c0 ; d0:9+9+0=18→w8,c1 ; sum=1892
list_summation
list_summation:left-to-right
1, 3, 5, 9
1+3=4 ; 4+5=9 ; 9+9=18
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(4,2)
R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2)
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)
linear_equation_solving
linear_equation_solving:inverse-ops
3x+12=30
3x+12=30 ; x=(30-12)/3 ; x=18/3 ; x=6
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,3)
R:(4,2) ; R:(4,3) ; D:(5,3)
multidigit_addition
multidigit_addition:rounding-decomposition
816+778
round:820+778=1598 ; adjust:1598-4=1594 ; sum=1594
linear_equation_solving
linear_equation_solving:inverse-ops
6x+30=42
6x+30=42 ; x=(42-30)/6 ; x=12/6 ; x=2
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x+35=65
5x+35=65 ; 5x=30 ; x=6
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,4) ; G=(3,5)
D:(3,4) ; R:(3,5)
base_conversion
base_conversion:decomposition
n=223,base=16
TERM:13*16^1=208 ; TERM:15*16^0=15 ; OUT:DF
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+42=84
6x+42=84 ; 6x=42 ; x=7
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,0) ; G=(3,2)
D:(3,0) ; R:(3,1) ; R:(3,2)
base_conversion
base_conversion:via-binary
n=211,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:7:1 ; OUT:11010011
linear_equation_solving
linear_equation_solving:inverse-ops
6x-48=-48
6x-48=-48 ; x=(-48--48)/6 ; x=0/6 ; x=0
list_summation
list_summation:left-to-right
0, 7, 6, 7
0+7=7 ; 7+6=13 ; 13+7=20
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(5,4)
R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
list_summation
list_summation:left-to-right
0, 4, 1, 6
0+4=4 ; 4+1=5 ; 5+6=11
list_summation
list_summation:left-to-right
7, 1, 2, 4
7+1=8 ; 8+2=10 ; 10+4=14
list_summation
list_summation:right-to-left
5, 2, 2, 8
2+8=10 ; 2+10=12 ; 5+12=17
base_conversion
base_conversion:decomposition
n=211,base=4
TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:3103
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x-25=10
5x-25=10 ; x+-5=2 ; x=2--5 ; x=7
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(4,4)
R:(2,4) ; D:(3,4) ; D:(4,4)
base_conversion
base_conversion:decomposition
n=53,base=4
TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:311
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)
multidigit_addition
multidigit_addition:right-to-left-carry
583+571
d2:3+1+0=4→w4,c0 ; d1:8+7+0=15→w5,c1 ; d0:5+5+1=11→w1,c1 ; sum=1154
base_conversion
base_conversion:via-binary
n=167,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:2213
sorting_algorithms
sorting_algorithms:bubble-sort
1, 3, 2, 0, 7
[1,2,3,0,7] ; [1,2,0,3,7] ; [1,0,2,3,7] ; [0,1,2,3,7]
multidigit_addition
multidigit_addition:right-to-left-carry
216+958
d2:6+8+0=14→w4,c1 ; d1:1+5+1=7→w7,c0 ; d0:2+9+0=11→w1,c1 ; sum=1174
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,2) ; G=(2,5)
R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5)
sorting_algorithms
sorting_algorithms:heap-sort
4, 2, 3, 6, 7
[4,7,3,6,2] ; [7,4,3,6,2] ; [7,6,3,4,2] ; [2,6,3,4,7] ; [6,2,3,4,7] ; [6,4,3,2,7] ; [2,4,3,6,7] ; [4,2,3,6,7] ; [3,2,4,6,7] ; [2,3,4,6,7]
sorting_algorithms
sorting_algorithms:merge-sort
2, 8, 6, 1, 9
[2,8,1,6,9] ; [1,2,6,8,9]
list_summation
list_summation:right-to-left
0, 8, 4, 3
4+3=7 ; 8+7=15 ; 0+15=15
sorting_algorithms
sorting_algorithms:selection-sort
5, 3, 8, 1, 4
[1,3,8,5,4] ; [1,3,8,5,4] ; [1,3,4,5,8] ; [1,3,4,5,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(4,5)
R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:inverse-ops
6x+18=36
6x+18=36 ; x=(36-18)/6 ; x=18/6 ; x=3
multidigit_addition
multidigit_addition:left-to-right-partials
440+176
p100:400+100=500 ; p10:40+70=110 ; p1:0+6=6 ; sum=500+110+6=616
linear_equation_solving
linear_equation_solving:subtract-then-divide
5x-40=-80
5x-40=-80 ; 5x=-40 ; x=-8
sorting_algorithms
sorting_algorithms:bubble-sort
5, 9, 8, 6, 1
[5,8,9,6,1] ; [5,8,6,9,1] ; [5,8,6,1,9] ; [5,6,8,1,9] ; [5,6,1,8,9] ; [5,1,6,8,9] ; [1,5,6,8,9]
base_conversion
base_conversion:decomposition
n=174,base=4
TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:2232
list_summation
list_summation:right-to-left
3, 2, 0, 1
0+1=1 ; 2+1=3 ; 3+3=6
base_conversion
base_conversion:via-binary
n=23,base=8
BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:7 ; OUT:27
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,3)
D:(5,1) ; R:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:left-to-right-partials
207+126
p100:200+100=300 ; p10:0+20=20 ; p1:7+6=13 ; sum=300+20+13=333
list_summation
list_summation:left-to-right
8, 0, 4, 6
8+0=8 ; 8+4=12 ; 12+6=18
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; R:(4,4) ; D:(5,4)
multidigit_addition
multidigit_addition:right-to-left-carry
192+225
d2:2+5+0=7→w7,c0 ; d1:9+2+0=11→w1,c1 ; d0:1+2+1=4→w4,c0 ; sum=417
list_summation
list_summation:right-to-left
2, 3, 1, 9
1+9=10 ; 3+10=13 ; 2+13=15
linear_equation_solving
linear_equation_solving:inverse-ops
7x+14=28
7x+14=28 ; x=(28-14)/7 ; x=14/7 ; x=2
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; R:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
8x-40=8
8x-40=8 ; 8x=48 ; x=6
multidigit_addition
multidigit_addition:right-to-left-carry
612+450
d2:2+0+0=2→w2,c0 ; d1:1+5+0=6→w6,c0 ; d0:6+4+0=10→w0,c1 ; sum=1062
list_summation
list_summation:left-to-right
5, 2, 6, 8
5+2=7 ; 7+6=13 ; 13+8=21
multidigit_addition
multidigit_addition:rounding-decomposition
815+499
round:820+499=1319 ; adjust:1319-5=1314 ; sum=1314
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; D:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
4x+32=20
4x+32=20 ; x+8=5 ; x=5-8 ; x=-3
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,2) ; G=(2,5)
R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
list_summation
list_summation:left-to-right
5, 8, 3, 8
5+8=13 ; 13+3=16 ; 16+8=24
base_conversion
base_conversion:decomposition
n=97,base=8
TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:1*8^0=1 ; OUT:141
multidigit_addition
multidigit_addition:rounding-decomposition
355+420
round:360+420=780 ; adjust:780-5=775 ; sum=775
base_conversion
base_conversion:repeated-division
n=52,base=8
DIV:52/8=6,r:4 ; DIV:6/8=0,r:6 ; OUT:64
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(4,2)
D:(3,1) ; D:(4,1) ; R:(4,2)
base_conversion
base_conversion:repeated-division
n=62,base=16
DIV:62/16=3,r:14 ; DIV:3/16=0,r:3 ; OUT:3E
multidigit_addition
multidigit_addition:right-to-left-carry
435+437
d2:5+7+0=12→w2,c1 ; d1:3+3+1=7→w7,c0 ; d0:4+4+0=8→w8,c0 ; sum=872
sorting_algorithms
sorting_algorithms:insertion-sort
8, 9, 3, 6, 1
[8,9,3,6,1] ; [3,8,9,6,1] ; [3,6,8,9,1] ; [1,3,6,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
list_summation
list_summation:pairwise
9, 3, 9, 0
9+3=12 ; 9+0=9 ; 12+9=21
multidigit_addition
multidigit_addition:left-to-right-partials
736+967
p100:700+900=1600 ; p10:30+60=90 ; p1:6+7=13 ; sum=1600+90+13=1703
linear_equation_solving
linear_equation_solving:inverse-ops
8x+40=40
8x+40=40 ; x=(40-40)/8 ; x=0/8 ; x=0
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,1) ; G=(5,2)
R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2)
list_summation
list_summation:left-to-right
6, 2, 3, 7
6+2=8 ; 8+3=11 ; 11+7=18
base_conversion
base_conversion:repeated-division
n=250,base=2
DIV:250/2=125,r:0 ; DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111010
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,1) ; G=(5,3)
D:(5,1) ; R:(5,2) ; R:(5,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(1,5)
R:(0,5) ; D:(1,5)
multidigit_addition
multidigit_addition:right-to-left-carry
671+695
d2:1+5+0=6→w6,c0 ; d1:7+9+0=16→w6,c1 ; d0:6+6+1=13→w3,c1 ; sum=1366
list_summation
list_summation:left-to-right
0, 5, 2, 0
0+5=5 ; 5+2=7 ; 7+0=7