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
7x-28=-7
7x-28=-7 ; x=(-7--28)/7 ; x=21/7 ; x=3
sorting_algorithms
sorting_algorithms:insertion-sort
6, 1, 9, 5, 3
[1,6,9,5,3] ; [1,6,9,5,3] ; [1,5,6,9,3] ; [1,3,5,6,9]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 3, 7, 0, 2
[3,5,7,0,2] ; [3,5,0,7,2] ; [3,5,0,2,7] ; [3,0,5,2,7] ; [3,0,2,5,7] ; [0,3,2,5,7] ; [0,2,3,5,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x-63=-45
9x-63=-45 ; x+-7=-5 ; x=-5--7 ; x=2
sorting_algorithms
sorting_algorithms:merge-sort
9, 5, 1, 6, 3
[5,9,1,6,3] ; [1,5,6,9,3] ; [1,3,5,6,9]
base_conversion
base_conversion:repeated-division
n=236,base=16
DIV:236/16=14,r:12 ; DIV:14/16=0,r:14 ; OUT:EC
base_conversion
base_conversion:repeated-division
n=125,base=2
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:1111101
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+45=15
5x+45=15 ; x+9=3 ; x=3-9 ; x=-6
list_summation
list_summation:right-to-left
7, 8, 2, 5
2+5=7 ; 8+7=15 ; 7+15=22
list_summation
list_summation:left-to-right
3, 1, 3, 9
3+1=4 ; 4+3=7 ; 7+9=16
sorting_algorithms
sorting_algorithms:merge-sort
1, 2, 6, 0, 3
[1,2,0,6,3] ; [0,1,2,6,3] ; [0,1,2,3,6]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(1,4)
R:(0,4) ; D:(1,4)
multidigit_addition
multidigit_addition:right-to-left-carry
862+904
d2:2+4+0=6→w6,c0 ; d1:6+0+0=6→w6,c0 ; d0:8+9+0=17→w7,c1 ; sum=1766
sorting_algorithms
sorting_algorithms:bubble-sort
3, 9, 7, 5, 6
[3,7,9,5,6] ; [3,7,5,9,6] ; [3,7,5,6,9] ; [3,5,7,6,9] ; [3,5,6,7,9]
sorting_algorithms
sorting_algorithms:selection-sort
6, 1, 4, 8, 7
[1,6,4,8,7] ; [1,4,6,8,7] ; [1,4,6,8,7] ; [1,4,6,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
7, 8, 0, 5, 3
[7,0,8,5,3] ; [7,0,5,8,3] ; [7,0,5,3,8] ; [0,7,5,3,8] ; [0,5,7,3,8] ; [0,5,3,7,8] ; [0,3,5,7,8]
list_summation
list_summation:right-to-left
5, 7, 6, 7
6+7=13 ; 7+13=20 ; 5+20=25
multidigit_addition
multidigit_addition:right-to-left-carry
494+944
d2:4+4+0=8→w8,c0 ; d1:9+4+0=13→w3,c1 ; d0:4+9+1=14→w4,c1 ; sum=1438
multidigit_addition
multidigit_addition:left-to-right-partials
365+101
p100:300+100=400 ; p10:60+0=60 ; p1:5+1=6 ; sum=400+60+6=466
multidigit_addition
multidigit_addition:left-to-right-partials
911+115
p100:900+100=1000 ; p10:10+10=20 ; p1:1+5=6 ; sum=1000+20+6=1026
list_summation
list_summation:pairwise
6, 5, 9, 0
6+5=11 ; 9+0=9 ; 11+9=20
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x-35=-77
7x-35=-77 ; 7x=-42 ; x=-6
sorting_algorithms
sorting_algorithms:insertion-sort
9, 4, 1, 3, 2
[4,9,1,3,2] ; [1,4,9,3,2] ; [1,3,4,9,2] ; [1,2,3,4,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+18=-9
3x+18=-9 ; x+6=-3 ; x=-3-6 ; x=-9
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(5,5)
R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:bubble-sort
5, 7, 1, 0, 2
[5,1,7,0,2] ; [5,1,0,7,2] ; [5,1,0,2,7] ; [1,5,0,2,7] ; [1,0,5,2,7] ; [1,0,2,5,7] ; [0,1,2,5,7]
multidigit_addition
multidigit_addition:left-to-right-partials
321+711
p100:300+700=1000 ; p10:20+10=30 ; p1:1+1=2 ; sum=1000+30+2=1032
base_conversion
base_conversion:via-binary
n=117,base=4
BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:1311
list_summation
list_summation:pairwise
7, 7, 1, 6
7+7=14 ; 1+6=7 ; 14+7=21
base_conversion
base_conversion:decomposition
n=20,base=4
TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:110
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,1) ; G=(5,5)
R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
multidigit_addition
multidigit_addition:left-to-right-partials
906+128
p100:900+100=1000 ; p10:0+20=20 ; p1:6+8=14 ; sum=1000+20+14=1034
linear_equation_solving
linear_equation_solving:inverse-ops
5x+30=45
5x+30=45 ; x=(45-30)/5 ; x=15/5 ; x=3
sorting_algorithms
sorting_algorithms:heap-sort
0, 1, 5, 7, 3
[0,7,5,1,3] ; [7,0,5,1,3] ; [7,3,5,1,0] ; [0,3,5,1,7] ; [5,3,0,1,7] ; [1,3,0,5,7] ; [3,1,0,5,7] ; [0,1,3,5,7] ; [1,0,3,5,7] ; [0,1,3,5,7]
multidigit_addition
multidigit_addition:left-to-right-partials
258+524
p100:200+500=700 ; p10:50+20=70 ; p1:8+4=12 ; sum=700+70+12=782
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,3) ; G=(4,5)
R:(3,4) ; R:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:inverse-ops
9x+27=54
9x+27=54 ; x=(54-27)/9 ; x=27/9 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
168+211
round:170+211=381 ; adjust:381-2=379 ; sum=379
multidigit_addition
multidigit_addition:left-to-right-partials
382+916
p100:300+900=1200 ; p10:80+10=90 ; p1:2+6=8 ; sum=1200+90+8=1298
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-8=64
8x-8=64 ; x+-1=8 ; x=8--1 ; x=9
list_summation
list_summation:right-to-left
3, 9, 0, 4
0+4=4 ; 9+4=13 ; 3+13=16
base_conversion
base_conversion:decomposition
n=144,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:2100
list_summation
list_summation:right-to-left
3, 2, 1, 9
1+9=10 ; 2+10=12 ; 3+12=15
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(5,5)
R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5)
base_conversion
base_conversion:via-binary
n=176,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:0 ; OUT:260
base_conversion
base_conversion:decomposition
n=150,base=4
TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:2112
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,3)
R:(2,2) ; R:(2,3) ; D:(3,3)
list_summation
list_summation:pairwise
1, 4, 8, 6
1+4=5 ; 8+6=14 ; 5+14=19
linear_equation_solving
linear_equation_solving:inverse-ops
3x-6=15
3x-6=15 ; x=(15--6)/3 ; x=21/3 ; x=7
sorting_algorithms
sorting_algorithms:insertion-sort
1, 7, 5, 0, 6
[1,7,5,0,6] ; [1,5,7,0,6] ; [0,1,5,7,6] ; [0,1,5,6,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x+54=72
6x+54=72 ; x+9=12 ; x=12-9 ; x=3
sorting_algorithms
sorting_algorithms:merge-sort
0, 3, 7, 6, 9
[0,3,6,7,9]
list_summation
list_summation:left-to-right
1, 4, 9, 0
1+4=5 ; 5+9=14 ; 14+0=14
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+6=24
3x+6=24 ; 3x=18 ; x=6
list_summation
list_summation:right-to-left
2, 8, 8, 4
8+4=12 ; 8+12=20 ; 2+20=22
list_summation
list_summation:left-to-right
1, 0, 3, 1
1+0=1 ; 1+3=4 ; 4+1=5
linear_equation_solving
linear_equation_solving:inverse-ops
9x-36=-9
9x-36=-9 ; x=(-9--36)/9 ; x=27/9 ; x=3
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
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,5)
R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5)
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:right-to-left-carry
941+163
d2:1+3+0=4→w4,c0 ; d1:4+6+0=10→w0,c1 ; d0:9+1+1=11→w1,c1 ; sum=1104
list_summation
list_summation:pairwise
2, 5, 6, 8
2+5=7 ; 6+8=14 ; 7+14=21
sorting_algorithms
sorting_algorithms:merge-sort
1, 8, 5, 0, 3
[1,8,0,5,3] ; [0,1,5,8,3] ; [0,1,3,5,8]
sorting_algorithms
sorting_algorithms:merge-sort
1, 6, 3, 5, 4
[1,3,5,6,4] ; [1,3,4,5,6]
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-24=-72
8x-24=-72 ; x+-3=-9 ; x=-9--3 ; x=-6
base_conversion
base_conversion:via-binary
n=128,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2000
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
list_summation
list_summation:right-to-left
9, 1, 0, 2
0+2=2 ; 1+2=3 ; 9+3=12
base_conversion
base_conversion:repeated-division
n=112,base=8
DIV:112/8=14,r:0 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:160
base_conversion
base_conversion:repeated-division
n=165,base=8
DIV:165/8=20,r:5 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:245
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(4,3)
R:(2,3) ; D:(3,3) ; D:(4,3)
multidigit_addition
multidigit_addition:rounding-decomposition
933+697
round:940+697=1637 ; adjust:1637-7=1630 ; sum=1630
multidigit_addition
multidigit_addition:right-to-left-carry
538+423
d2:8+3+0=11→w1,c1 ; d1:3+2+1=6→w6,c0 ; d0:5+4+0=9→w9,c0 ; sum=961
sorting_algorithms
sorting_algorithms:merge-sort
5, 0, 8, 4, 9
[0,5,8,4,9] ; [0,5,4,8,9] ; [0,4,5,8,9]
multidigit_addition
multidigit_addition:right-to-left-carry
917+872
d2:7+2+0=9→w9,c0 ; d1:1+7+0=8→w8,c0 ; d0:9+8+0=17→w7,c1 ; sum=1789
base_conversion
base_conversion:via-binary
n=56,base=4
BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:320
sorting_algorithms
sorting_algorithms:selection-sort
4, 3, 9, 8, 7
[3,4,9,8,7] ; [3,4,9,8,7] ; [3,4,7,8,9] ; [3,4,7,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,0) ; G=(3,3)
R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(0,1) ; G=(4,3)
D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3)
sorting_algorithms
sorting_algorithms:heap-sort
5, 0, 4, 8, 1
[5,8,4,0,1] ; [8,5,4,0,1] ; [1,5,4,0,8] ; [5,1,4,0,8] ; [0,1,4,5,8] ; [4,1,0,5,8] ; [0,1,4,5,8] ; [1,0,4,5,8] ; [0,1,4,5,8]
linear_equation_solving
linear_equation_solving:inverse-ops
3x+12=3
3x+12=3 ; x=(3-12)/3 ; x=-9/3 ; x=-3
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,4) ; G=(3,5)
R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5)
multidigit_addition
multidigit_addition:left-to-right-partials
658+371
p100:600+300=900 ; p10:50+70=120 ; p1:8+1=9 ; sum=900+120+9=1029
list_summation
list_summation:pairwise
2, 5, 7, 2
2+5=7 ; 7+2=9 ; 7+9=16
base_conversion
base_conversion:via-binary
n=131,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:3 ; OUT:83
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-4=-20
4x-4=-20 ; 4x=-16 ; x=-4
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(0,3) ; G=(1,5)
R:(0,4) ; D:(1,4) ; R:(1,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+20=-20
5x+20=-20 ; x+4=-4 ; x=-4-4 ; x=-8
base_conversion
base_conversion:repeated-division
n=238,base=4
DIV:238/4=59,r:2 ; DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3232
sorting_algorithms
sorting_algorithms:merge-sort
9, 5, 7, 4, 0
[5,9,7,4,0] ; [5,9,4,7,0] ; [4,5,7,9,0] ; [0,4,5,7,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+0=81
9x+0=81 ; x+0=9 ; x=9-0 ; x=9
list_summation
list_summation:left-to-right
8, 3, 3, 9
8+3=11 ; 11+3=14 ; 14+9=23
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,0) ; G=(5,2)
R:(4,1) ; D:(5,1) ; R:(5,2)
base_conversion
base_conversion:via-binary
n=60,base=8
BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:4 ; OUT:74
sorting_algorithms
sorting_algorithms:bubble-sort
5, 4, 0, 7, 8
[4,5,0,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8]
multidigit_addition
multidigit_addition:right-to-left-carry
958+236
d2:8+6+0=14→w4,c1 ; d1:5+3+1=9→w9,c0 ; d0:9+2+0=11→w1,c1 ; sum=1194
sorting_algorithms
sorting_algorithms:merge-sort
2, 9, 5, 4, 6
[2,9,4,5,6] ; [2,4,5,9,6] ; [2,4,5,6,9]
base_conversion
base_conversion:decomposition
n=194,base=8
TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:2*8^0=2 ; OUT:302
linear_equation_solving
linear_equation_solving:subtract-then-divide
2x-6=-18
2x-6=-18 ; 2x=-12 ; x=-6