task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,1) ; G=(5,2)
R:(4,2) ; D:(5,2)
sorting_algorithms
sorting_algorithms:insertion-sort
0, 3, 8, 5, 2
[0,3,8,5,2] ; [0,3,8,5,2] ; [0,3,5,8,2] ; [0,2,3,5,8]
list_summation
list_summation:left-to-right
8, 3, 8, 6
8+3=11 ; 11+8=19 ; 19+6=25
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(4,4)
R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4)
list_summation
list_summation:right-to-left
7, 2, 5, 9
5+9=14 ; 2+14=16 ; 7+16=23
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(3,3)
R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,3) ; G=(4,5)
R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+56=0
7x+56=0 ; 7x=-56 ; x=-8
list_summation
list_summation:right-to-left
9, 9, 4, 9
4+9=13 ; 9+13=22 ; 9+22=31
sorting_algorithms
sorting_algorithms:bubble-sort
2, 0, 4, 9, 6
[0,2,4,9,6] ; [0,2,4,6,9]
base_conversion
base_conversion:repeated-division
n=236,base=2
DIV:236/2=118,r:0 ; DIV:118/2=59,r:0 ; DIV:59/2=29,r:1 ; 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:11101100
multidigit_addition
multidigit_addition:left-to-right-partials
647+457
p100:600+400=1000 ; p10:40+50=90 ; p1:7+7=14 ; sum=1000+90+14=1104
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-14=-6
2x-14=-6 ; x+-7=-3 ; x=-3--7 ; x=4
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(5,4)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=62,base=4
DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:332
base_conversion
base_conversion:decomposition
n=252,base=2
TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11111100
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x+48=78
6x+48=78 ; 6x=30 ; x=5
multidigit_addition
multidigit_addition:left-to-right-partials
508+612
p100:500+600=1100 ; p10:0+10=10 ; p1:8+2=10 ; sum=1100+10+10=1120
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,3) ; G=(5,4)
D:(5,3) ; R:(5,4)
linear_equation_solving
linear_equation_solving:inverse-ops
4x+8=-4
4x+8=-4 ; x=(-4-8)/4 ; x=-12/4 ; x=-3
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:inverse-ops
3x+27=45
3x+27=45 ; x=(45-27)/3 ; x=18/3 ; x=6
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)
linear_equation_solving
linear_equation_solving:inverse-ops
2x+0=16
2x+0=16 ; x=(16-0)/2 ; x=16/2 ; x=8
base_conversion
base_conversion:decomposition
n=217,base=8
TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:331
sorting_algorithms
sorting_algorithms:merge-sort
0, 3, 9, 4, 2
[0,3,4,9,2] ; [0,2,3,4,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,1) ; G=(4,4)
R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4)
linear_equation_solving
linear_equation_solving:inverse-ops
5x-30=-75
5x-30=-75 ; x=(-75--30)/5 ; x=-45/5 ; x=-9
multidigit_addition
multidigit_addition:left-to-right-partials
661+303
p100:600+300=900 ; p10:60+0=60 ; p1:1+3=4 ; sum=900+60+4=964
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-48=-88
8x-48=-88 ; x+-6=-11 ; x=-11--6 ; x=-5
base_conversion
base_conversion:via-binary
n=20,base=4
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:110
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,3) ; G=(5,5)
R:(4,4) ; D:(5,4) ; R:(5,5)
linear_equation_solving
linear_equation_solving:inverse-ops
5x+10=15
5x+10=15 ; x=(15-10)/5 ; x=5/5 ; x=1
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-24=-48
3x-24=-48 ; 3x=-24 ; x=-8
multidigit_addition
multidigit_addition:rounding-decomposition
823+434
round:830+434=1264 ; adjust:1264-7=1257 ; sum=1257
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x-9=-21
3x-9=-21 ; 3x=-12 ; x=-4
list_summation
list_summation:left-to-right
5, 0, 7, 5
5+0=5 ; 5+7=12 ; 12+5=17
base_conversion
base_conversion:decomposition
n=130,base=8
TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:2*8^0=2 ; OUT:202
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+35=84
7x+35=84 ; 7x=49 ; x=7
multidigit_addition
multidigit_addition:rounding-decomposition
420+979
round:420+979=1399 ; adjust:1399-0=1399 ; sum=1399
list_summation
list_summation:right-to-left
7, 2, 0, 8
0+8=8 ; 2+8=10 ; 7+10=17
sorting_algorithms
sorting_algorithms:bubble-sort
0, 5, 1, 6, 2
[0,1,5,6,2] ; [0,1,5,2,6] ; [0,1,2,5,6]
sorting_algorithms
sorting_algorithms:selection-sort
6, 2, 8, 9, 4
[2,6,8,9,4] ; [2,4,8,9,6] ; [2,4,6,9,8] ; [2,4,6,8,9]
list_summation
list_summation:pairwise
3, 0, 4, 4
3+0=3 ; 4+4=8 ; 3+8=11
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,1) ; G=(3,4)
R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4)
list_summation
list_summation:pairwise
3, 4, 1, 9
3+4=7 ; 1+9=10 ; 7+10=17
sorting_algorithms
sorting_algorithms:heap-sort
0, 7, 2, 6, 5
[7,0,2,6,5] ; [7,6,2,0,5] ; [5,6,2,0,7] ; [6,5,2,0,7] ; [0,5,2,6,7] ; [5,0,2,6,7] ; [2,0,5,6,7] ; [0,2,5,6,7]
sorting_algorithms
sorting_algorithms:bubble-sort
5, 7, 4, 8, 9
[5,4,7,8,9] ; [4,5,7,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
6, 2, 7, 3, 0
[2,6,7,3,0] ; [2,6,3,7,0] ; [2,6,3,0,7] ; [2,3,6,0,7] ; [2,3,0,6,7] ; [2,0,3,6,7] ; [0,2,3,6,7]
sorting_algorithms
sorting_algorithms:merge-sort
9, 0, 8, 4, 6
[0,9,8,4,6] ; [0,9,4,8,6] ; [0,4,8,9,6] ; [0,4,6,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
5x+0=-15
5x+0=-15 ; x=(-15-0)/5 ; x=-15/5 ; x=-3
base_conversion
base_conversion:repeated-division
n=39,base=2
DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100111
multidigit_addition
multidigit_addition:right-to-left-carry
308+417
d2:8+7+0=15→w5,c1 ; d1:0+1+1=2→w2,c0 ; d0:3+4+0=7→w7,c0 ; sum=725
multidigit_addition
multidigit_addition:left-to-right-partials
387+867
p100:300+800=1100 ; p10:80+60=140 ; p1:7+7=14 ; sum=1100+140+14=1254
linear_equation_solving
linear_equation_solving:inverse-ops
9x+18=-45
9x+18=-45 ; x=(-45-18)/9 ; x=-63/9 ; x=-7
list_summation
list_summation:left-to-right
3, 3, 8, 4
3+3=6 ; 6+8=14 ; 14+4=18
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,3) ; G=(5,4)
D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:right-to-left-carry
673+178
d2:3+8+0=11→w1,c1 ; d1:7+7+1=15→w5,c1 ; d0:6+1+1=8→w8,c0 ; sum=851
multidigit_addition
multidigit_addition:left-to-right-partials
426+750
p100:400+700=1100 ; p10:20+50=70 ; p1:6+0=6 ; sum=1100+70+6=1176
sorting_algorithms
sorting_algorithms:bubble-sort
1, 5, 0, 2, 3
[1,0,5,2,3] ; [1,0,2,5,3] ; [1,0,2,3,5] ; [0,1,2,3,5]
sorting_algorithms
sorting_algorithms:insertion-sort
0, 9, 4, 3, 7
[0,9,4,3,7] ; [0,4,9,3,7] ; [0,3,4,9,7] ; [0,3,4,7,9]
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
list_summation
list_summation:left-to-right
7, 0, 8, 9
7+0=7 ; 7+8=15 ; 15+9=24
multidigit_addition
multidigit_addition:left-to-right-partials
208+190
p100:200+100=300 ; p10:0+90=90 ; p1:8+0=8 ; sum=300+90+8=398
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,2) ; G=(5,3)
D:(5,2) ; R:(5,3)
multidigit_addition
multidigit_addition:right-to-left-carry
210+922
d2:0+2+0=2→w2,c0 ; d1:1+2+0=3→w3,c0 ; d0:2+9+0=11→w1,c1 ; sum=1132
base_conversion
base_conversion:via-binary
n=39,base=2
BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:100111
sorting_algorithms
sorting_algorithms:selection-sort
1, 4, 3, 7, 8
[1,4,3,7,8] ; [1,3,4,7,8] ; [1,3,4,7,8] ; [1,3,4,7,8]
list_summation
list_summation:pairwise
5, 6, 9, 2
5+6=11 ; 9+2=11 ; 11+11=22
linear_equation_solving
linear_equation_solving:inverse-ops
8x+24=-24
8x+24=-24 ; x=(-24-24)/8 ; x=-48/8 ; x=-6
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+21=9
3x+21=9 ; 3x=-12 ; x=-4
sorting_algorithms
sorting_algorithms:merge-sort
8, 1, 4, 6, 5
[1,8,4,6,5] ; [1,4,6,8,5] ; [1,4,5,6,8]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,3) ; G=(4,5)
R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5)
multidigit_addition
multidigit_addition:rounding-decomposition
460+635
round:460+635=1095 ; adjust:1095-0=1095 ; sum=1095
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(4,5)
R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+0=27
9x+0=27 ; x+0=3 ; x=3-0 ; x=3
multidigit_addition
multidigit_addition:rounding-decomposition
490+700
round:490+700=1190 ; adjust:1190-0=1190 ; sum=1190
linear_equation_solving
linear_equation_solving:inverse-ops
5x-20=0
5x-20=0 ; x=(0--20)/5 ; x=20/5 ; x=4
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,1) ; G=(3,4)
D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4)
multidigit_addition
multidigit_addition:right-to-left-carry
635+461
d2:5+1+0=6→w6,c0 ; d1:3+6+0=9→w9,c0 ; d0:6+4+0=10→w0,c1 ; sum=1096
multidigit_addition
multidigit_addition:rounding-decomposition
774+715
round:780+715=1495 ; adjust:1495-6=1489 ; sum=1489
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
list_summation
list_summation:left-to-right
7, 2, 2, 2
7+2=9 ; 9+2=11 ; 11+2=13
sorting_algorithms
sorting_algorithms:insertion-sort
9, 8, 0, 6, 5
[8,9,0,6,5] ; [0,8,9,6,5] ; [0,6,8,9,5] ; [0,5,6,8,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,4) ; G=(5,5)
R:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,1) ; G=(2,2)
R:(0,2) ; D:(1,2) ; D:(2,2)
list_summation
list_summation:right-to-left
4, 0, 7, 9
7+9=16 ; 0+16=16 ; 4+16=20
multidigit_addition
multidigit_addition:right-to-left-carry
197+973
d2:7+3+0=10→w0,c1 ; d1:9+7+1=17→w7,c1 ; d0:1+9+1=11→w1,c1 ; sum=1170
base_conversion
base_conversion:decomposition
n=92,base=8
TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:4*8^0=4 ; OUT:134
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)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
list_summation
list_summation:right-to-left
6, 8, 6, 1
6+1=7 ; 8+7=15 ; 6+15=21
base_conversion
base_conversion:via-binary
n=140,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10001100
linear_equation_solving
linear_equation_solving:inverse-ops
3x+0=-15
3x+0=-15 ; x=(-15-0)/3 ; x=-15/3 ; x=-5
multidigit_addition
multidigit_addition:rounding-decomposition
961+367
round:970+367=1337 ; adjust:1337-9=1328 ; sum=1328
base_conversion
base_conversion:repeated-division
n=246,base=16
DIV:246/16=15,r:6 ; DIV:15/16=0,r:15 ; OUT:F6
base_conversion
base_conversion:via-binary
n=133,base=4
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:2011
multidigit_addition
multidigit_addition:rounding-decomposition
371+599
round:380+599=979 ; adjust:979-9=970 ; sum=970
sorting_algorithms
sorting_algorithms:merge-sort
5, 8, 4, 7, 2
[4,5,7,8,2] ; [2,4,5,7,8]
base_conversion
base_conversion:repeated-division
n=197,base=8
DIV:197/8=24,r:5 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:305