task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
sorting_algorithms
sorting_algorithms:bubble-sort
2, 5, 3, 6, 4
[2,3,5,6,4] ; [2,3,5,4,6] ; [2,3,4,5,6]
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,2) ; G=(5,4)
R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:subtract-then-divide
3x+3=-15
3x+3=-15 ; 3x=-18 ; x=-6
sorting_algorithms
sorting_algorithms:heap-sort
7, 9, 3, 5, 2
[9,7,3,5,2] ; [2,7,3,5,9] ; [7,2,3,5,9] ; [7,5,3,2,9] ; [2,5,3,7,9] ; [5,2,3,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(3,0) ; G=(4,4)
R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,0) ; G=(5,5)
R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5)
sorting_algorithms
sorting_algorithms:merge-sort
7, 0, 1, 4, 6
[0,7,1,4,6] ; [0,1,4,7,6] ; [0,1,4,6,7]
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+2=10
2x+2=10 ; x+1=5 ; x=5-1 ; x=4
multidigit_addition
multidigit_addition:right-to-left-carry
339+446
d2:9+6+0=15→w5,c1 ; d1:3+4+1=8→w8,c0 ; d0:3+4+0=7→w7,c0 ; sum=785
base_conversion
base_conversion:via-binary
n=240,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11110000
linear_equation_solving
linear_equation_solving:divide-then-subtract
3x+9=27
3x+9=27 ; x+3=9 ; x=9-3 ; x=6
sorting_algorithms
sorting_algorithms:bubble-sort
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]
list_summation
list_summation:right-to-left
9, 4, 9, 8
9+8=17 ; 4+17=21 ; 9+21=30
linear_equation_solving
linear_equation_solving:subtract-then-divide
7x+21=14
7x+21=14 ; 7x=-7 ; x=-1
list_summation
list_summation:right-to-left
1, 6, 6, 5
6+5=11 ; 6+11=17 ; 1+17=18
multidigit_addition
multidigit_addition:rounding-decomposition
429+287
round:430+287=717 ; adjust:717-1=716 ; sum=716
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,4) ; G=(3,5)
R:(1,5) ; D:(2,5) ; D:(3,5)
base_conversion
base_conversion:repeated-division
n=72,base=16
DIV:72/16=4,r:8 ; DIV:4/16=0,r:4 ; OUT:48
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(5,2)
D:(4,1) ; D:(5,1) ; R:(5,2)
base_conversion
base_conversion:repeated-division
n=163,base=8
DIV:163/8=20,r:3 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:243
sorting_algorithms
sorting_algorithms:merge-sort
2, 0, 1, 8, 7
[0,2,1,8,7] ; [0,1,2,8,7] ; [0,1,2,7,8]
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(2,5)
R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-12=-42
6x-12=-42 ; 6x=-30 ; x=-5
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,0) ; G=(4,2)
R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2)
sorting_algorithms
sorting_algorithms:bubble-sort
5, 2, 8, 7, 6
[2,5,8,7,6] ; [2,5,7,8,6] ; [2,5,7,6,8] ; [2,5,6,7,8]
sorting_algorithms
sorting_algorithms:bubble-sort
8, 1, 2, 9, 5
[1,8,2,9,5] ; [1,2,8,9,5] ; [1,2,8,5,9] ; [1,2,5,8,9]
linear_equation_solving
linear_equation_solving:divide-then-subtract
6x-42=-66
6x-42=-66 ; x+-7=-11 ; x=-11--7 ; x=-4
list_summation
list_summation:right-to-left
3, 4, 4, 5
4+5=9 ; 4+9=13 ; 3+13=16
sorting_algorithms
sorting_algorithms:bubble-sort
9, 1, 6, 4, 8
[1,9,6,4,8] ; [1,6,9,4,8] ; [1,6,4,9,8] ; [1,6,4,8,9] ; [1,4,6,8,9]
sorting_algorithms
sorting_algorithms:selection-sort
9, 1, 7, 5, 4
[1,9,7,5,4] ; [1,4,7,5,9] ; [1,4,5,7,9] ; [1,4,5,7,9]
base_conversion
base_conversion:repeated-division
n=2,base=2
DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10
list_summation
list_summation:pairwise
9, 5, 0, 3
9+5=14 ; 0+3=3 ; 14+3=17
list_summation
list_summation:left-to-right
9, 3, 4, 6
9+3=12 ; 12+4=16 ; 16+6=22
multidigit_addition
multidigit_addition:left-to-right-partials
502+725
p100:500+700=1200 ; p10:0+20=20 ; p1:2+5=7 ; sum=1200+20+7=1227
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(2,4) ; G=(5,5)
R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,2) ; G=(5,4)
R:(4,3) ; R:(4,4) ; D:(5,4)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+20=50
5x+20=50 ; x+4=10 ; x=10-4 ; x=6
linear_equation_solving
linear_equation_solving:inverse-ops
9x-9=27
9x-9=27 ; x=(27--9)/9 ; x=36/9 ; x=4
list_summation
list_summation:left-to-right
3, 9, 2, 7
3+9=12 ; 12+2=14 ; 14+7=21
sorting_algorithms
sorting_algorithms:insertion-sort
8, 6, 2, 5, 3
[6,8,2,5,3] ; [2,6,8,5,3] ; [2,5,6,8,3] ; [2,3,5,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
940+326
d2:0+6+0=6→w6,c0 ; d1:4+2+0=6→w6,c0 ; d0:9+3+0=12→w2,c1 ; sum=1266
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(1,1) ; G=(3,2)
R:(1,2) ; D:(2,2) ; D:(3,2)
base_conversion
base_conversion:repeated-division
n=6,base=16
DIV:6/16=0,r:6 ; OUT:6
list_summation
list_summation:left-to-right
4, 0, 7, 4
4+0=4 ; 4+7=11 ; 11+4=15
multidigit_addition
multidigit_addition:rounding-decomposition
952+607
round:960+607=1567 ; adjust:1567-8=1559 ; sum=1559
list_summation
list_summation:pairwise
9, 6, 2, 6
9+6=15 ; 2+6=8 ; 15+8=23
sorting_algorithms
sorting_algorithms:heap-sort
1, 6, 7, 8, 3
[1,8,7,6,3] ; [8,1,7,6,3] ; [8,6,7,1,3] ; [3,6,7,1,8] ; [7,6,3,1,8] ; [1,6,3,7,8] ; [6,1,3,7,8] ; [3,1,6,7,8] ; [1,3,6,7,8]
multidigit_addition
multidigit_addition:left-to-right-partials
463+250
p100:400+200=600 ; p10:60+50=110 ; p1:3+0=3 ; sum=600+110+3=713
sorting_algorithms
sorting_algorithms:selection-sort
1, 7, 8, 9, 2
[1,7,8,9,2] ; [1,2,8,9,7] ; [1,2,7,9,8] ; [1,2,7,8,9]
list_summation
list_summation:pairwise
0, 9, 4, 7
0+9=9 ; 4+7=11 ; 9+11=20
multidigit_addition
multidigit_addition:rounding-decomposition
634+286
round:640+286=926 ; adjust:926-6=920 ; sum=920
list_summation
list_summation:pairwise
1, 2, 4, 1
1+2=3 ; 4+1=5 ; 3+5=8
sorting_algorithms
sorting_algorithms:bubble-sort
1, 5, 7, 4, 2
[1,5,4,7,2] ; [1,5,4,2,7] ; [1,4,5,2,7] ; [1,4,2,5,7] ; [1,2,4,5,7]
sorting_algorithms
sorting_algorithms:heap-sort
6, 9, 8, 4, 2
[9,6,8,4,2] ; [2,6,8,4,9] ; [8,6,2,4,9] ; [4,6,2,8,9] ; [6,4,2,8,9] ; [2,4,6,8,9] ; [4,2,6,8,9] ; [2,4,6,8,9]
base_conversion
base_conversion:decomposition
n=55,base=4
TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:313
multidigit_addition
multidigit_addition:left-to-right-partials
276+681
p100:200+600=800 ; p10:70+80=150 ; p1:6+1=7 ; sum=800+150+7=957
base_conversion
base_conversion:decomposition
n=2,base=2
TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10
multidigit_addition
multidigit_addition:left-to-right-partials
999+159
p100:900+100=1000 ; p10:90+50=140 ; p1:9+9=18 ; sum=1000+140+18=1158
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,1) ; G=(4,4)
R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4)
sorting_algorithms
sorting_algorithms:insertion-sort
1, 9, 4, 8, 3
[1,9,4,8,3] ; [1,4,9,8,3] ; [1,4,8,9,3] ; [1,3,4,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
6x-30=12
6x-30=12 ; x=(12--30)/6 ; x=42/6 ; x=7
sorting_algorithms
sorting_algorithms:bubble-sort
6, 0, 7, 4, 3
[0,6,7,4,3] ; [0,6,4,7,3] ; [0,6,4,3,7] ; [0,4,6,3,7] ; [0,4,3,6,7] ; [0,3,4,6,7]
base_conversion
base_conversion:decomposition
n=99,base=4
TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:1203
linear_equation_solving
linear_equation_solving:inverse-ops
3x+9=-15
3x+9=-15 ; x=(-15-9)/3 ; x=-24/3 ; x=-8
sorting_algorithms
sorting_algorithms:heap-sort
4, 0, 9, 6, 5
[4,6,9,0,5] ; [9,6,4,0,5] ; [5,6,4,0,9] ; [6,5,4,0,9] ; [0,5,4,6,9] ; [5,0,4,6,9] ; [4,0,5,6,9] ; [0,4,5,6,9]
multidigit_addition
multidigit_addition:rounding-decomposition
471+897
round:480+897=1377 ; adjust:1377-9=1368 ; sum=1368
linear_equation_solving
linear_equation_solving:inverse-ops
8x+8=-64
8x+8=-64 ; x=(-64-8)/8 ; x=-72/8 ; x=-9
list_summation
list_summation:left-to-right
7, 4, 1, 9
7+4=11 ; 11+1=12 ; 12+9=21
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,3) ; G=(4,4)
D:(4,3) ; R:(4,4)
list_summation
list_summation:right-to-left
9, 4, 8, 2
8+2=10 ; 4+10=14 ; 9+14=23
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,3) ; G=(5,4)
R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:repeated-division
n=48,base=4
DIV:48/4=12,r:0 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:300
sorting_algorithms
sorting_algorithms:selection-sort
3, 9, 0, 6, 5
[0,9,3,6,5] ; [0,3,9,6,5] ; [0,3,5,6,9] ; [0,3,5,6,9]
base_conversion
base_conversion:decomposition
n=74,base=16
TERM:4*16^1=64 ; TERM:10*16^0=10 ; OUT:4A
linear_equation_solving
linear_equation_solving:inverse-ops
9x+0=-63
9x+0=-63 ; x=(-63-0)/9 ; x=-63/9 ; x=-7
multidigit_addition
multidigit_addition:rounding-decomposition
570+515
round:570+515=1085 ; adjust:1085-0=1085 ; sum=1085
multidigit_addition
multidigit_addition:left-to-right-partials
228+829
p100:200+800=1000 ; p10:20+20=40 ; p1:8+9=17 ; sum=1000+40+17=1057
sorting_algorithms
sorting_algorithms:heap-sort
7, 8, 6, 5, 0
[8,7,6,5,0] ; [0,7,6,5,8] ; [7,0,6,5,8] ; [7,5,6,0,8] ; [0,5,6,7,8] ; [6,5,0,7,8] ; [0,5,6,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8]
list_summation
list_summation:left-to-right
4, 9, 5, 8
4+9=13 ; 13+5=18 ; 18+8=26
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-6=-10
2x-6=-10 ; x+-3=-5 ; x=-5--3 ; x=-2
base_conversion
base_conversion:repeated-division
n=105,base=4
DIV:105/4=26,r:1 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1221
linear_equation_solving
linear_equation_solving:inverse-ops
2x-6=-22
2x-6=-22 ; x=(-22--6)/2 ; x=-16/2 ; x=-8
linear_equation_solving
linear_equation_solving:inverse-ops
9x-81=-54
9x-81=-54 ; x=(-54--81)/9 ; x=27/9 ; x=3
list_summation
list_summation:left-to-right
8, 9, 3, 5
8+9=17 ; 17+3=20 ; 20+5=25
sorting_algorithms
sorting_algorithms:insertion-sort
1, 6, 7, 9, 0
[1,6,7,9,0] ; [1,6,7,9,0] ; [1,6,7,9,0] ; [0,1,6,7,9]
multidigit_addition
multidigit_addition:rounding-decomposition
874+620
round:880+620=1500 ; adjust:1500-6=1494 ; sum=1494
base_conversion
base_conversion:repeated-division
n=5,base=2
DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101
linear_equation_solving
linear_equation_solving:subtract-then-divide
6x-18=-42
6x-18=-42 ; 6x=-24 ; x=-4
base_conversion
base_conversion:repeated-division
n=231,base=2
DIV:231/2=115,r:1 ; DIV:115/2=57,r:1 ; DIV:57/2=28,r:1 ; DIV:28/2=14,r:0 ; 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:11100111
list_summation
list_summation:right-to-left
0, 0, 0, 2
0+2=2 ; 0+2=2 ; 0+2=2
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(5,4)
D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4)
multidigit_addition
multidigit_addition:right-to-left-carry
599+276
d2:9+6+0=15→w5,c1 ; d1:9+7+1=17→w7,c1 ; d0:5+2+1=8→w8,c0 ; sum=875
sorting_algorithms
sorting_algorithms:selection-sort
0, 6, 9, 5, 8
[0,6,9,5,8] ; [0,5,9,6,8] ; [0,5,6,9,8] ; [0,5,6,8,9]
sorting_algorithms
sorting_algorithms:merge-sort
4, 2, 0, 1, 9
[2,4,0,1,9] ; [0,1,2,4,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(2,2) ; G=(4,3)
D:(3,2) ; D:(4,2) ; R:(4,3)
linear_equation_solving
linear_equation_solving:subtract-then-divide
4x-36=-24
4x-36=-24 ; 4x=12 ; x=3
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(4,3) ; G=(5,4)
R:(4,4) ; D:(5,4)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:right-to-left-carry
995+615
d2:5+5+0=10→w0,c1 ; d1:9+1+1=11→w1,c1 ; d0:9+6+1=16→w6,c1 ; sum=1610
multidigit_addition
multidigit_addition:rounding-decomposition
654+663
round:660+663=1323 ; adjust:1323-6=1317 ; sum=1317