task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 735+212 | round:740+212=952 ; adjust:952-5=947 ; sum=947 |
multidigit_addition | multidigit_addition:left-to-right-partials | 509+164 | p100:500+100=600 ; p10:0+60=60 ; p1:9+4=13 ; sum=600+60+13=673 |
list_summation | list_summation:right-to-left | 2, 1, 5, 1 | 5+1=6 ; 1+6=7 ; 2+7=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 5, 8, 4, 6 | [1,5,4,8,6] ; [1,4,5,8,6] ; [1,4,5,6,8] |
base_conversion | base_conversion:repeated-division | n=142,base=4 | DIV:142/4=35,r:2 ; DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2032 |
base_conversion | base_conversion:repeated-division | n=203,base=4 | DIV:203/4=50,r:3 ; DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3023 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=-81 | 9x-18=-81 ; 9x=-63 ; x=-7 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 9, 7, 6, 8 | [9,2,7,6,8] ; [9,8,7,6,2] ; [2,8,7,6,9] ; [8,2,7,6,9] ; [8,6,7,2,9] ; [2,6,7,8,9] ; [7,6,2,8,9] ; [2,6,7,8,9] ; [6,2,7,8,9] ; [2,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=175,base=4 | DIV:175/4=43,r:3 ; DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2233 |
list_summation | list_summation:right-to-left | 3, 8, 3, 2 | 3+2=5 ; 8+5=13 ; 3+13=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 1, 8, 0 | [3,9,1,8,0] ; [1,3,9,8,0] ; [1,3,8,9,0] ; [0,1,3,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=-15 | 5x+5=-15 ; 5x=-20 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 634+875 | d2:4+5+0=9→w9,c0 ; d1:3+7+0=10→w0,c1 ; d0:6+8+1=15→w5,c1 ; sum=1509 |
list_summation | list_summation:left-to-right | 3, 8, 7, 4 | 3+8=11 ; 11+7=18 ; 18+4=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 769+869 | round:770+869=1639 ; adjust:1639-1=1638 ; sum=1638 |
list_summation | list_summation:right-to-left | 5, 2, 5, 7 | 5+7=12 ; 2+12=14 ; 5+14=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=-7 | 7x-35=-7 ; x=(-7--35)/7 ; x=28/7 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 9, 5, 3 | [0,6,5,9,3] ; [0,6,5,3,9] ; [0,5,6,3,9] ; [0,5,3,6,9] ; [0,3,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-65 | 5x-30=-65 ; x=(-65--30)/5 ; x=-35/5 ; x=-7 |
list_summation | list_summation:left-to-right | 6, 1, 0, 4 | 6+1=7 ; 7+0=7 ; 7+4=11 |
base_conversion | base_conversion:via-binary | n=236,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3230 |
list_summation | list_summation:right-to-left | 6, 3, 5, 8 | 5+8=13 ; 3+13=16 ; 6+16=22 |
base_conversion | base_conversion:via-binary | n=157,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:2131 |
multidigit_addition | multidigit_addition:right-to-left-carry | 936+241 | d2:6+1+0=7→w7,c0 ; d1:3+4+0=7→w7,c0 ; d0:9+2+0=11→w1,c1 ; sum=1177 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 4, 1, 9, 7 | [1,2,4,9,7] ; [1,2,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=56 | 8x+72=56 ; 8x=-16 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(5,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 0, 3, 5 | [1,8,0,3,5] ; [0,1,8,3,5] ; [0,1,3,8,5] ; [0,1,3,5,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 6, 5, 9 | [3,7,6,5,9] ; [3,6,7,5,9] ; [3,6,5,7,9] ; [3,5,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=182,base=16 | DIV:182/16=11,r:6 ; DIV:11/16=0,r:11 ; OUT:B6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(1,4) | R:(0,4) ; D:(1,4) |
list_summation | list_summation:right-to-left | 8, 8, 8, 3 | 8+3=11 ; 8+11=19 ; 8+19=27 |
base_conversion | base_conversion:decomposition | n=25,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:121 |
list_summation | list_summation:pairwise | 5, 2, 6, 7 | 5+2=7 ; 6+7=13 ; 7+13=20 |
base_conversion | base_conversion:repeated-division | n=3,base=2 | DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11 |
base_conversion | base_conversion:repeated-division | n=121,base=16 | DIV:121/16=7,r:9 ; DIV:7/16=0,r:7 ; OUT:79 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-12=-28 | 4x-12=-28 ; x+-3=-7 ; x=-7--3 ; x=-4 |
list_summation | list_summation:right-to-left | 8, 6, 4, 6 | 4+6=10 ; 6+10=16 ; 8+16=24 |
base_conversion | base_conversion:via-binary | n=24,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:120 |
multidigit_addition | multidigit_addition:rounding-decomposition | 907+394 | round:910+394=1304 ; adjust:1304-3=1301 ; sum=1301 |
list_summation | list_summation:left-to-right | 2, 8, 2, 6 | 2+8=10 ; 10+2=12 ; 12+6=18 |
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 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 0, 5, 0, 3 | 0+3=3 ; 5+3=8 ; 0+8=8 |
list_summation | list_summation:right-to-left | 0, 1, 2, 8 | 2+8=10 ; 1+10=11 ; 0+11=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 257+909 | round:260+909=1169 ; adjust:1169-3=1166 ; sum=1166 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 8, 0, 3, 4 | [5,8,0,3,4] ; [0,5,8,3,4] ; [0,3,5,8,4] ; [0,3,4,5,8] |
list_summation | list_summation:left-to-right | 4, 5, 1, 3 | 4+5=9 ; 9+1=10 ; 10+3=13 |
base_conversion | base_conversion:repeated-division | n=111,base=2 | DIV:111/2=55,r:1 ; DIV:55/2=27,r:1 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1101111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=-72 | 9x+9=-72 ; x+1=-8 ; x=-8-1 ; x=-9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 574+335 | d2:4+5+0=9→w9,c0 ; d1:7+3+0=10→w0,c1 ; d0:5+3+1=9→w9,c0 ; sum=909 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 9, 6, 4 | [8,6,9,5,4] ; [9,6,8,5,4] ; [4,6,8,5,9] ; [8,6,4,5,9] ; [5,6,4,8,9] ; [6,5,4,8,9] ; [4,5,6,8,9] ; [5,4,6,8,9] ; [4,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 2, 4, 6 | [0,8,2,4,6] ; [0,2,8,4,6] ; [0,2,4,8,6] ; [0,2,4,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 3, 5, 2, 7 | 2+7=9 ; 5+9=14 ; 3+14=17 |
list_summation | list_summation:right-to-left | 5, 4, 6, 9 | 6+9=15 ; 4+15=19 ; 5+19=24 |
list_summation | list_summation:right-to-left | 6, 4, 7, 9 | 7+9=16 ; 4+16=20 ; 6+20=26 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 2, 1, 8 | [0,7,2,1,8] ; [0,1,2,7,8] ; [0,1,2,7,8] ; [0,1,2,7,8] |
list_summation | list_summation:right-to-left | 4, 2, 9, 3 | 9+3=12 ; 2+12=14 ; 4+14=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=96 | 8x+64=96 ; x=(96-64)/8 ; x=32/8 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 216+861 | p100:200+800=1000 ; p10:10+60=70 ; p1:6+1=7 ; sum=1000+70+7=1077 |
base_conversion | base_conversion:repeated-division | n=241,base=2 | DIV:241/2=120,r:1 ; DIV:120/2=60,r:0 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; 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:11110001 |
base_conversion | base_conversion:via-binary | n=166,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:2212 |
list_summation | list_summation:pairwise | 1, 3, 5, 0 | 1+3=4 ; 5+0=5 ; 4+5=9 |
base_conversion | base_conversion:via-binary | n=94,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1011110 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,3) | D:(4,2) ; D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+45=117 | 9x+45=117 ; x+5=13 ; x=13-5 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-48 | 6x-36=-48 ; 6x=-12 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 904+908 | round:910+908=1818 ; adjust:1818-6=1812 ; sum=1812 |
list_summation | list_summation:right-to-left | 7, 8, 9, 3 | 9+3=12 ; 8+12=20 ; 7+20=27 |
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:subtract-then-divide | 7x+35=-7 | 7x+35=-7 ; 7x=-42 ; x=-6 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 3, 5, 2 | [0,8,3,5,2] ; [0,2,3,5,8] ; [0,2,3,5,8] ; [0,2,3,5,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 8, 5, 3, 7 | [7,8,5,3,9] ; [8,7,5,3,9] ; [3,7,5,8,9] ; [7,3,5,8,9] ; [5,3,7,8,9] ; [3,5,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=45 | 9x+54=45 ; x+6=5 ; x=5-6 ; x=-1 |
list_summation | list_summation:right-to-left | 9, 9, 3, 3 | 3+3=6 ; 9+6=15 ; 9+15=24 |
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) |
base_conversion | base_conversion:repeated-division | n=189,base=16 | DIV:189/16=11,r:13 ; DIV:11/16=0,r:11 ; OUT:BD |
multidigit_addition | multidigit_addition:right-to-left-carry | 469+635 | d2:9+5+0=14→w4,c1 ; d1:6+3+1=10→w0,c1 ; d0:4+6+1=11→w1,c1 ; sum=1104 |
list_summation | list_summation:left-to-right | 9, 1, 8, 5 | 9+1=10 ; 10+8=18 ; 18+5=23 |
list_summation | list_summation:pairwise | 3, 0, 1, 6 | 3+0=3 ; 1+6=7 ; 3+7=10 |
base_conversion | base_conversion:decomposition | n=75,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:1023 |
multidigit_addition | multidigit_addition:right-to-left-carry | 197+836 | d2:7+6+0=13→w3,c1 ; d1:9+3+1=13→w3,c1 ; d0:1+8+1=10→w0,c1 ; sum=1033 |
list_summation | list_summation:right-to-left | 6, 5, 2, 8 | 2+8=10 ; 5+10=15 ; 6+15=21 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 7, 0, 4 | [0,5,7,2,4] ; [0,2,7,5,4] ; [0,2,4,5,7] ; [0,2,4,5,7] |
list_summation | list_summation:right-to-left | 6, 5, 0, 9 | 0+9=9 ; 5+9=14 ; 6+14=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 974+612 | d2:4+2+0=6→w6,c0 ; d1:7+1+0=8→w8,c0 ; d0:9+6+0=15→w5,c1 ; sum=1586 |
list_summation | list_summation:right-to-left | 7, 0, 8, 1 | 8+1=9 ; 0+9=9 ; 7+9=16 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 5, 3, 0 | [2,3,5,1,0] ; [5,3,2,1,0] ; [0,3,2,1,5] ; [3,0,2,1,5] ; [3,1,2,0,5] ; [0,1,2,3,5] ; [2,1,0,3,5] ; [0,1,2,3,5] ; [1,0,2,3,5] ; [0,1,2,3,5] |
list_summation | list_summation:left-to-right | 2, 2, 0, 3 | 2+2=4 ; 4+0=4 ; 4+3=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 950+653 | p100:900+600=1500 ; p10:50+50=100 ; p1:0+3=3 ; sum=1500+100+3=1603 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-45 | 3x-21=-45 ; 3x=-24 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=0 | 2x-4=0 ; x+-2=0 ; x=0--2 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=48 | 3x+24=48 ; x=(48-24)/3 ; x=24/3 ; x=8 |
base_conversion | base_conversion:decomposition | n=61,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:331 |
base_conversion | base_conversion:via-binary | n=60,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:4 ; OUT:74 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.