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=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=151,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:2113 |
list_summation | list_summation:pairwise | 5, 9, 5, 9 | 5+9=14 ; 5+9=14 ; 14+14=28 |
base_conversion | base_conversion:decomposition | n=98,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1202 |
multidigit_addition | multidigit_addition:left-to-right-partials | 359+844 | p100:300+800=1100 ; p10:50+40=90 ; p1:9+4=13 ; sum=1100+90+13=1203 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 441+255 | d2:1+5+0=6→w6,c0 ; d1:4+5+0=9→w9,c0 ; d0:4+2+0=6→w6,c0 ; sum=696 |
multidigit_addition | multidigit_addition:left-to-right-partials | 570+233 | p100:500+200=700 ; p10:70+30=100 ; p1:0+3=3 ; sum=700+100+3=803 |
multidigit_addition | multidigit_addition:left-to-right-partials | 305+396 | p100:300+300=600 ; p10:0+90=90 ; p1:5+6=11 ; sum=600+90+11=701 |
base_conversion | base_conversion:decomposition | n=180,base=8 | TERM:2*8^2=128 ; TERM:6*8^1=48 ; TERM:4*8^0=4 ; OUT:264 |
multidigit_addition | multidigit_addition:right-to-left-carry | 964+385 | d2:4+5+0=9→w9,c0 ; d1:6+8+0=14→w4,c1 ; d0:9+3+1=13→w3,c1 ; sum=1349 |
multidigit_addition | multidigit_addition:left-to-right-partials | 777+346 | p100:700+300=1000 ; p10:70+40=110 ; p1:7+6=13 ; sum=1000+110+13=1123 |
multidigit_addition | multidigit_addition:rounding-decomposition | 475+272 | round:480+272=752 ; adjust:752-5=747 ; sum=747 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=32 | 2x+18=32 ; 2x=14 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 193+569 | round:200+569=769 ; adjust:769-7=762 ; sum=762 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 0, 3, 4 | [1,6,0,3,4] ; [0,1,6,3,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 774+548 | d2:4+8+0=12→w2,c1 ; d1:7+4+1=12→w2,c1 ; d0:7+5+1=13→w3,c1 ; sum=1322 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=0 | 2x-10=0 ; x=(0--10)/2 ; x=10/2 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 238+579 | p100:200+500=700 ; p10:30+70=100 ; p1:8+9=17 ; sum=700+100+17=817 |
base_conversion | base_conversion:repeated-division | n=29,base=16 | DIV:29/16=1,r:13 ; DIV:1/16=0,r:1 ; OUT:1D |
list_summation | list_summation:right-to-left | 2, 0, 5, 7 | 5+7=12 ; 0+12=12 ; 2+12=14 |
multidigit_addition | multidigit_addition:left-to-right-partials | 133+410 | p100:100+400=500 ; p10:30+10=40 ; p1:3+0=3 ; sum=500+40+3=543 |
base_conversion | base_conversion:repeated-division | n=1,base=8 | DIV:1/8=0,r:1 ; OUT:1 |
base_conversion | base_conversion:via-binary | n=213,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11010101 |
list_summation | list_summation:right-to-left | 0, 0, 2, 1 | 2+1=3 ; 0+3=3 ; 0+3=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 8, 3, 4 | [1,2,8,3,4] ; [1,2,3,8,4] ; [1,2,3,4,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 780+990 | p100:700+900=1600 ; p10:80+90=170 ; p1:0+0=0 ; sum=1600+170+0=1770 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=4 | 2x+14=4 ; 2x=-10 ; x=-5 |
list_summation | list_summation:left-to-right | 4, 8, 6, 4 | 4+8=12 ; 12+6=18 ; 18+4=22 |
base_conversion | base_conversion:via-binary | n=109,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1101101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 694+562 | round:700+562=1262 ; adjust:1262-6=1256 ; sum=1256 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 6, 1, 8, 4 | [6,7,1,8,4] ; [1,6,7,8,4] ; [1,6,7,8,4] ; [1,4,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 3, 6, 0, 3 | 3+6=9 ; 0+3=3 ; 9+3=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 737+100 | round:740+100=840 ; adjust:840-3=837 ; sum=837 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 6, 2, 1 | [4,9,6,2,1] ; [4,6,9,2,1] ; [4,6,2,9,1] ; [4,6,2,1,9] ; [4,2,6,1,9] ; [4,2,1,6,9] ; [2,4,1,6,9] ; [2,1,4,6,9] ; [1,2,4,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 0, 3, 2 | [0,8,7,3,2] ; [0,2,7,3,8] ; [0,2,3,7,8] ; [0,2,3,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+4=-28 | 4x+4=-28 ; 4x=-32 ; x=-8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 738+844 | round:740+844=1584 ; adjust:1584-2=1582 ; sum=1582 |
list_summation | list_summation:left-to-right | 4, 3, 4, 2 | 4+3=7 ; 7+4=11 ; 11+2=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 8, 2, 4 | [5,7,2,8,4] ; [5,7,2,4,8] ; [5,2,7,4,8] ; [5,2,4,7,8] ; [2,5,4,7,8] ; [2,4,5,7,8] |
list_summation | list_summation:right-to-left | 9, 4, 2, 9 | 2+9=11 ; 4+11=15 ; 9+15=24 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 4, 3, 2, 0 | [4,8,3,2,0] ; [3,4,8,2,0] ; [2,3,4,8,0] ; [0,2,3,4,8] |
list_summation | list_summation:pairwise | 6, 3, 9, 5 | 6+3=9 ; 9+5=14 ; 9+14=23 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=14 | 7x-49=14 ; x+-7=2 ; x=2--7 ; x=9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 8, 5, 7 | [0,4,8,5,7] ; [0,4,8,5,7] ; [0,4,5,8,7] ; [0,4,5,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 7, 3, 6 | [4,7,9,3,6] ; [4,7,3,9,6] ; [4,7,3,6,9] ; [4,3,7,6,9] ; [4,3,6,7,9] ; [3,4,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 720+848 | p100:700+800=1500 ; p10:20+40=60 ; p1:0+8=8 ; sum=1500+60+8=1568 |
base_conversion | base_conversion:decomposition | n=63,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:333 |
list_summation | list_summation:left-to-right | 4, 2, 8, 1 | 4+2=6 ; 6+8=14 ; 14+1=15 |
list_summation | list_summation:right-to-left | 9, 2, 8, 7 | 8+7=15 ; 2+15=17 ; 9+17=26 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,3) | D:(4,2) ; D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 6, 2, 1 | [0,8,2,6,1] ; [0,2,6,8,1] ; [0,1,2,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(3,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 4, 7, 9 | [5,6,4,7,9] ; [4,5,6,7,9] ; [4,5,6,7,9] ; [4,5,6,7,9] |
base_conversion | base_conversion:decomposition | n=63,base=16 | TERM:3*16^1=48 ; TERM:15*16^0=15 ; OUT:3F |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 2, 4, 0 | [2,4,6,8,0] ; [0,2,4,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 1, 8, 7, 9 | [1,6,8,7,9] ; [1,6,8,7,9] ; [1,6,7,8,9] ; [1,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=124,base=8 | DIV:124/8=15,r:4 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:174 |
multidigit_addition | multidigit_addition:right-to-left-carry | 572+207 | d2:2+7+0=9→w9,c0 ; d1:7+0+0=7→w7,c0 ; d0:5+2+0=7→w7,c0 ; sum=779 |
multidigit_addition | multidigit_addition:rounding-decomposition | 852+573 | round:860+573=1433 ; adjust:1433-8=1425 ; sum=1425 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 8, 2, 4, 9 | [0,8,2,4,9] ; [0,2,8,4,9] ; [0,2,4,8,9] ; [0,2,4,8,9] |
base_conversion | base_conversion:repeated-division | n=99,base=4 | DIV:99/4=24,r:3 ; DIV:24/4=6,r:0 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1203 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-14=-18 | 2x-14=-18 ; x+-7=-9 ; x=-9--7 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:left-to-right | 0, 9, 8, 8 | 0+9=9 ; 9+8=17 ; 17+8=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=-10 | 2x+8=-10 ; x=(-10-8)/2 ; x=-18/2 ; x=-9 |
list_summation | list_summation:pairwise | 1, 8, 8, 3 | 1+8=9 ; 8+3=11 ; 9+11=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 9, 4, 3 | [1,7,9,4,3] ; [1,3,9,4,7] ; [1,3,4,9,7] ; [1,3,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+63=91 | 7x+63=91 ; 7x=28 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 945+164 | d2:5+4+0=9→w9,c0 ; d1:4+6+0=10→w0,c1 ; d0:9+1+1=11→w1,c1 ; sum=1109 |
multidigit_addition | multidigit_addition:right-to-left-carry | 386+719 | d2:6+9+0=15→w5,c1 ; d1:8+1+1=10→w0,c1 ; d0:3+7+1=11→w1,c1 ; sum=1105 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 4, 8, 3 | [0,2,4,8,3] ; [0,2,4,8,3] ; [0,2,3,8,4] ; [0,2,3,4,8] |
base_conversion | base_conversion:decomposition | n=88,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1011000 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 5, 1, 3 | [1,6,5,9,3] ; [1,3,5,9,6] ; [1,3,5,9,6] ; [1,3,5,6,9] |
list_summation | list_summation:left-to-right | 1, 0, 6, 8 | 1+0=1 ; 1+6=7 ; 7+8=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 514+755 | round:520+755=1275 ; adjust:1275-6=1269 ; sum=1269 |
list_summation | list_summation:right-to-left | 1, 9, 0, 3 | 0+3=3 ; 9+3=12 ; 1+12=13 |
list_summation | list_summation:pairwise | 3, 2, 3, 3 | 3+2=5 ; 3+3=6 ; 5+6=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+8=0 | 4x+8=0 ; x=(0-8)/4 ; x=-8/4 ; x=-2 |
base_conversion | base_conversion:via-binary | n=21,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:5 ; OUT:25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 314+156 | round:320+156=476 ; adjust:476-6=470 ; sum=470 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=36 | 6x+42=36 ; 6x=-6 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=3 | 3x+24=3 ; x+8=1 ; x=1-8 ; x=-7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 438+304 | p100:400+300=700 ; p10:30+0=30 ; p1:8+4=12 ; sum=700+30+12=742 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,1) | R:(0,1) ; D:(1,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-6=21 | 3x-6=21 ; 3x=27 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 494+754 | p100:400+700=1100 ; p10:90+50=140 ; p1:4+4=8 ; sum=1100+140+8=1248 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 4, 6, 3 | [2,7,4,6,3] ; [2,4,7,6,3] ; [2,4,6,7,3] ; [2,3,4,6,7] |
base_conversion | base_conversion:via-binary | n=80,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1010000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 2, 6, 7, 8 | [2,4,6,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 9, 5, 6 | [3,4,9,5,6] ; [3,4,5,9,6] ; [3,4,5,6,9] |
list_summation | list_summation:left-to-right | 2, 8, 7, 1 | 2+8=10 ; 10+7=17 ; 17+1=18 |
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