task_name
stringclasses
6 values
strategy_id
stringclasses
20 values
input_text
stringlengths
6
26
reasoning_trace
stringlengths
11
152
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(4,4) ; G=(5,5)
D:(5,4) ; R:(5,5)
base_conversion
base_conversion:decomposition
n=225,base=4
TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:3201
sorting_algorithms
sorting_algorithms:heap-sort
9, 0, 7, 3, 8
[9,8,7,3,0] ; [0,8,7,3,9] ; [8,0,7,3,9] ; [8,3,7,0,9] ; [0,3,7,8,9] ; [7,3,0,8,9] ; [0,3,7,8,9] ; [3,0,7,8,9] ; [0,3,7,8,9]
base_conversion
base_conversion:decomposition
n=249,base=4
TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:3321
list_summation
list_summation:pairwise
8, 3, 9, 9
8+3=11 ; 9+9=18 ; 11+18=29
sorting_algorithms
sorting_algorithms:heap-sort
4, 2, 8, 6, 1
[4,6,8,2,1] ; [8,6,4,2,1] ; [1,6,4,2,8] ; [6,1,4,2,8] ; [6,2,4,1,8] ; [1,2,4,6,8] ; [4,2,1,6,8] ; [1,2,4,6,8] ; [2,1,4,6,8] ; [1,2,4,6,8]
multidigit_addition
multidigit_addition:right-to-left-carry
600+484
d2:0+4+0=4→w4,c0 ; d1:0+8+0=8→w8,c0 ; d0:6+4+0=10→w0,c1 ; sum=1084
list_summation
list_summation:pairwise
2, 7, 5, 7
2+7=9 ; 5+7=12 ; 9+12=21
list_summation
list_summation:left-to-right
1, 0, 8, 5
1+0=1 ; 1+8=9 ; 9+5=14
base_conversion
base_conversion:via-binary
n=29,base=4
BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:131
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=(0,2) ; G=(2,5)
R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5)
multidigit_addition
multidigit_addition:rounding-decomposition
294+121
round:300+121=421 ; adjust:421-6=415 ; sum=415
list_summation
list_summation:pairwise
5, 1, 8, 0
5+1=6 ; 8+0=8 ; 6+8=14
multidigit_addition
multidigit_addition:rounding-decomposition
379+368
round:380+368=748 ; adjust:748-1=747 ; sum=747
linear_equation_solving
linear_equation_solving:inverse-ops
9x+18=72
9x+18=72 ; x=(72-18)/9 ; x=54/9 ; x=6
sorting_algorithms
sorting_algorithms:bubble-sort
8, 6, 1, 5, 9
[6,8,1,5,9] ; [6,1,8,5,9] ; [6,1,5,8,9] ; [1,6,5,8,9] ; [1,5,6,8,9]
sorting_algorithms
sorting_algorithms:bubble-sort
2, 5, 0, 3, 4
[2,0,5,3,4] ; [2,0,3,5,4] ; [2,0,3,4,5] ; [0,2,3,4,5]
linear_equation_solving
linear_equation_solving:divide-then-subtract
9x+9=54
9x+9=54 ; x+1=6 ; x=6-1 ; x=5
linear_equation_solving
linear_equation_solving:inverse-ops
3x+9=-9
3x+9=-9 ; x=(-9-9)/3 ; x=-18/3 ; x=-6
list_summation
list_summation:left-to-right
3, 8, 8, 1
3+8=11 ; 11+8=19 ; 19+1=20
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-18=-8
2x-18=-8 ; x+-9=-4 ; x=-4--9 ; x=5
linear_equation_solving
linear_equation_solving:inverse-ops
7x-63=-63
7x-63=-63 ; x=(-63--63)/7 ; x=0/7 ; x=0
list_summation
list_summation:left-to-right
4, 4, 5, 8
4+4=8 ; 8+5=13 ; 13+8=21
base_conversion
base_conversion:decomposition
n=9,base=4
TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:21
sorting_algorithms
sorting_algorithms:bubble-sort
4, 5, 9, 2, 8
[4,5,2,9,8] ; [4,5,2,8,9] ; [4,2,5,8,9] ; [2,4,5,8,9]
linear_equation_solving
linear_equation_solving:inverse-ops
4x+4=24
4x+4=24 ; x=(24-4)/4 ; x=20/4 ; x=5
list_summation
list_summation:right-to-left
5, 8, 9, 6
9+6=15 ; 8+15=23 ; 5+23=28
base_conversion
base_conversion:decomposition
n=180,base=4
TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:2310
multidigit_addition
multidigit_addition:rounding-decomposition
160+157
round:160+157=317 ; adjust:317-0=317 ; sum=317
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x-14=-2
2x-14=-2 ; x+-7=-1 ; x=-1--7 ; x=6
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(5,2)
D:(4,1) ; D:(5,1) ; R:(5,2)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,2) ; G=(5,3)
R:(4,3) ; D:(5,3)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,2) ; G=(3,4)
R:(2,3) ; R:(2,4) ; D:(3,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,3) ; G=(5,4)
R:(3,4) ; D:(4,4) ; D:(5,4)
base_conversion
base_conversion:via-binary
n=134,base=16
BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:6 ; OUT:86
list_summation
list_summation:left-to-right
0, 5, 6, 4
0+5=5 ; 5+6=11 ; 11+4=15
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(3,2) ; G=(5,5)
R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5)
multidigit_addition
multidigit_addition:rounding-decomposition
575+854
round:580+854=1434 ; adjust:1434-5=1429 ; sum=1429
base_conversion
base_conversion:via-binary
n=155,base=8
BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; OUT:233
multidigit_addition
multidigit_addition:right-to-left-carry
796+644
d2:6+4+0=10→w0,c1 ; d1:9+4+1=14→w4,c1 ; d0:7+6+1=14→w4,c1 ; sum=1440
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(2,4) ; G=(4,5)
R:(2,5) ; D:(3,5) ; D:(4,5)
grid_pathfinding
grid_pathfinding:right-first
grid=6 ; S=(0,3) ; G=(4,4)
R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4)
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(1,4) ; G=(2,5)
R:(1,5) ; D:(2,5)
list_summation
list_summation:pairwise
1, 1, 2, 5
1+1=2 ; 2+5=7 ; 2+7=9
linear_equation_solving
linear_equation_solving:divide-then-subtract
8x-64=-80
8x-64=-80 ; x+-8=-10 ; x=-10--8 ; x=-2
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
linear_equation_solving
linear_equation_solving:divide-then-subtract
5x+30=0
5x+30=0 ; x+6=0 ; x=0-6 ; x=-6
sorting_algorithms
sorting_algorithms:selection-sort
9, 7, 0, 4, 6
[0,7,9,4,6] ; [0,4,9,7,6] ; [0,4,6,7,9] ; [0,4,6,7,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,2)
D:(4,1) ; R:(4,2)
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
list_summation
list_summation:left-to-right
2, 9, 9, 2
2+9=11 ; 11+9=20 ; 20+2=22
list_summation
list_summation:pairwise
0, 8, 8, 9
0+8=8 ; 8+9=17 ; 8+17=25
base_conversion
base_conversion:repeated-division
n=186,base=8
DIV:186/8=23,r:2 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:272
sorting_algorithms
sorting_algorithms:bubble-sort
0, 1, 8, 6, 7
[0,1,6,8,7] ; [0,1,6,7,8]
base_conversion
base_conversion:decomposition
n=200,base=8
TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:0*8^0=0 ; OUT:310
base_conversion
base_conversion:decomposition
n=144,base=16
TERM:9*16^1=144 ; TERM:0*16^0=0 ; OUT:90
base_conversion
base_conversion:repeated-division
n=179,base=8
DIV:179/8=22,r:3 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:263
multidigit_addition
multidigit_addition:right-to-left-carry
844+973
d2:4+3+0=7→w7,c0 ; d1:4+7+0=11→w1,c1 ; d0:8+9+1=18→w8,c1 ; sum=1817
linear_equation_solving
linear_equation_solving:subtract-then-divide
9x-72=-72
9x-72=-72 ; 9x=0 ; x=0
base_conversion
base_conversion:via-binary
n=151,base=16
BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:7 ; OUT:97
list_summation
list_summation:pairwise
5, 9, 0, 6
5+9=14 ; 0+6=6 ; 14+6=20
multidigit_addition
multidigit_addition:right-to-left-carry
205+324
d2:5+4+0=9→w9,c0 ; d1:0+2+0=2→w2,c0 ; d0:2+3+0=5→w5,c0 ; sum=529
list_summation
list_summation:left-to-right
4, 5, 8, 4
4+5=9 ; 9+8=17 ; 17+4=21
multidigit_addition
multidigit_addition:right-to-left-carry
143+342
d2:3+2+0=5→w5,c0 ; d1:4+4+0=8→w8,c0 ; d0:1+3+0=4→w4,c0 ; sum=485
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,1) ; G=(4,3)
D:(4,1) ; R:(4,2) ; R:(4,3)
list_summation
list_summation:pairwise
2, 5, 4, 5
2+5=7 ; 4+5=9 ; 7+9=16
sorting_algorithms
sorting_algorithms:selection-sort
0, 1, 9, 2, 8
[0,1,9,2,8] ; [0,1,9,2,8] ; [0,1,2,9,8] ; [0,1,2,8,9]
multidigit_addition
multidigit_addition:rounding-decomposition
207+833
round:210+833=1043 ; adjust:1043-3=1040 ; sum=1040
list_summation
list_summation:right-to-left
9, 1, 6, 0
6+0=6 ; 1+6=7 ; 9+7=16
sorting_algorithms
sorting_algorithms:heap-sort
9, 7, 1, 4, 5
[5,7,1,4,9] ; [7,5,1,4,9] ; [4,5,1,7,9] ; [5,4,1,7,9] ; [1,4,5,7,9] ; [4,1,5,7,9] ; [1,4,5,7,9]
multidigit_addition
multidigit_addition:right-to-left-carry
997+953
d2:7+3+0=10→w0,c1 ; d1:9+5+1=15→w5,c1 ; d0:9+9+1=19→w9,c1 ; sum=1950
sorting_algorithms
sorting_algorithms:selection-sort
2, 6, 3, 8, 9
[2,6,3,8,9] ; [2,3,6,8,9] ; [2,3,6,8,9] ; [2,3,6,8,9]
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:repeated-division
n=105,base=16
DIV:105/16=6,r:9 ; DIV:6/16=0,r:6 ; OUT:69
sorting_algorithms
sorting_algorithms:heap-sort
0, 8, 3, 1, 9
[0,9,3,1,8] ; [9,0,3,1,8] ; [9,8,3,1,0] ; [0,8,3,1,9] ; [8,0,3,1,9] ; [8,1,3,0,9] ; [0,1,3,8,9] ; [3,1,0,8,9] ; [0,1,3,8,9] ; [1,0,3,8,9] ; [0,1,3,8,9]
list_summation
list_summation:left-to-right
1, 3, 5, 8
1+3=4 ; 4+5=9 ; 9+8=17
multidigit_addition
multidigit_addition:rounding-decomposition
294+170
round:300+170=470 ; adjust:470-6=464 ; sum=464
linear_equation_solving
linear_equation_solving:inverse-ops
8x-56=-40
8x-56=-40 ; x=(-40--56)/8 ; x=16/8 ; x=2
linear_equation_solving
linear_equation_solving:inverse-ops
8x-64=-8
8x-64=-8 ; x=(-8--64)/8 ; x=56/8 ; x=7
list_summation
list_summation:pairwise
5, 6, 1, 5
5+6=11 ; 1+5=6 ; 11+6=17
linear_equation_solving
linear_equation_solving:inverse-ops
5x-20=-20
5x-20=-20 ; x=(-20--20)/5 ; x=0/5 ; x=0
linear_equation_solving
linear_equation_solving:inverse-ops
5x+45=40
5x+45=40 ; x=(40-45)/5 ; x=-5/5 ; x=-1
grid_pathfinding
grid_pathfinding:down-first
grid=6 ; S=(3,4) ; G=(4,5)
D:(4,4) ; R:(4,5)
base_conversion
base_conversion:repeated-division
n=231,base=8
DIV:231/8=28,r:7 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:347
sorting_algorithms
sorting_algorithms:heap-sort
4, 6, 1, 0, 5
[6,4,1,0,5] ; [6,5,1,0,4] ; [4,5,1,0,6] ; [5,4,1,0,6] ; [0,4,1,5,6] ; [4,0,1,5,6] ; [1,0,4,5,6] ; [0,1,4,5,6]
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:pairwise
4, 5, 0, 9
4+5=9 ; 0+9=9 ; 9+9=18
list_summation
list_summation:left-to-right
5, 4, 7, 6
5+4=9 ; 9+7=16 ; 16+6=22
linear_equation_solving
linear_equation_solving:inverse-ops
5x-30=-20
5x-30=-20 ; x=(-20--30)/5 ; x=10/5 ; x=2
base_conversion
base_conversion:repeated-division
n=197,base=16
DIV:197/16=12,r:5 ; DIV:12/16=0,r:12 ; OUT:C5
list_summation
list_summation:left-to-right
9, 6, 2, 1
9+6=15 ; 15+2=17 ; 17+1=18
base_conversion
base_conversion:via-binary
n=186,base=2
BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10111010
grid_pathfinding
grid_pathfinding:alternating
grid=6 ; S=(4,4) ; G=(5,5)
R:(4,5) ; D:(5,5)
base_conversion
base_conversion:repeated-division
n=190,base=8
DIV:190/8=23,r:6 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:276
linear_equation_solving
linear_equation_solving:divide-then-subtract
2x+16=16
2x+16=16 ; x+8=8 ; x=8-8 ; x=0
sorting_algorithms
sorting_algorithms:merge-sort
4, 6, 5, 2, 0
[4,6,2,5,0] ; [2,4,5,6,0] ; [0,2,4,5,6]
linear_equation_solving
linear_equation_solving:inverse-ops
6x+48=36
6x+48=36 ; x=(36-48)/6 ; x=-12/6 ; x=-2
sorting_algorithms
sorting_algorithms:heap-sort
9, 1, 6, 8, 5
[9,8,6,1,5] ; [5,8,6,1,9] ; [8,5,6,1,9] ; [1,5,6,8,9] ; [6,5,1,8,9] ; [1,5,6,8,9] ; [5,1,6,8,9] ; [1,5,6,8,9]