task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 284+268 | p100:200+200=400 ; p10:80+60=140 ; p1:4+8=12 ; sum=400+140+12=552 |
multidigit_addition | multidigit_addition:left-to-right-partials | 576+478 | p100:500+400=900 ; p10:70+70=140 ; p1:6+8=14 ; sum=900+140+14=1054 |
multidigit_addition | multidigit_addition:left-to-right-partials | 950+870 | p100:900+800=1700 ; p10:50+70=120 ; p1:0+0=0 ; sum=1700+120+0=1820 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=-27 | 3x-3=-27 ; 3x=-24 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=-10 | 5x+20=-10 ; x=(-10-20)/5 ; x=-30/5 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=-20 | 5x+0=-20 ; x=(-20-0)/5 ; x=-20/5 ; x=-4 |
list_summation | list_summation:pairwise | 9, 9, 5, 2 | 9+9=18 ; 5+2=7 ; 18+7=25 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,5) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=2 | 2x+16=2 ; 2x=-14 ; x=-7 |
list_summation | list_summation:right-to-left | 0, 5, 4, 1 | 4+1=5 ; 5+5=10 ; 0+10=10 |
multidigit_addition | multidigit_addition:right-to-left-carry | 658+848 | d2:8+8+0=16→w6,c1 ; d1:5+4+1=10→w0,c1 ; d0:6+8+1=15→w5,c1 ; sum=1506 |
base_conversion | base_conversion:repeated-division | n=106,base=2 | DIV:106/2=53,r:0 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; 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:1101010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 119+154 | round:120+154=274 ; adjust:274-1=273 ; sum=273 |
multidigit_addition | multidigit_addition:left-to-right-partials | 776+758 | p100:700+700=1400 ; p10:70+50=120 ; p1:6+8=14 ; sum=1400+120+14=1534 |
base_conversion | base_conversion:decomposition | n=38,base=8 | TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:46 |
multidigit_addition | multidigit_addition:right-to-left-carry | 947+261 | d2:7+1+0=8→w8,c0 ; d1:4+6+0=10→w0,c1 ; d0:9+2+1=12→w2,c1 ; sum=1208 |
multidigit_addition | multidigit_addition:right-to-left-carry | 505+235 | d2:5+5+0=10→w0,c1 ; d1:0+3+1=4→w4,c0 ; d0:5+2+0=7→w7,c0 ; sum=740 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 1, 6, 4 | [1,2,5,6,4] ; [1,2,4,5,6] |
list_summation | list_summation:pairwise | 6, 2, 8, 6 | 6+2=8 ; 8+6=14 ; 8+14=22 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=72,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1001000 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 5, 8, 4 | [7,8,5,3,4] ; [8,7,5,3,4] ; [4,7,5,3,8] ; [7,4,5,3,8] ; [3,4,5,7,8] ; [5,4,3,7,8] ; [3,4,5,7,8] ; [4,3,5,7,8] ; [3,4,5,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 9, 6, 1, 4 | [9,0,6,1,4] ; [9,4,6,1,0] ; [0,4,6,1,9] ; [6,4,0,1,9] ; [1,4,0,6,9] ; [4,1,0,6,9] ; [0,1,4,6,9] ; [1,0,4,6,9] ; [0,1,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 3, 6, 9, 7 | 9+7=16 ; 6+16=22 ; 3+22=25 |
list_summation | list_summation:pairwise | 9, 2, 9, 1 | 9+2=11 ; 9+1=10 ; 11+10=21 |
base_conversion | base_conversion:via-binary | n=9,base=2 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1001 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=24 | 8x+56=24 ; 8x=-32 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+72=54 | 9x+72=54 ; x=(54-72)/9 ; x=-18/9 ; x=-2 |
list_summation | list_summation:right-to-left | 5, 0, 5, 5 | 5+5=10 ; 0+10=10 ; 5+10=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 652+173 | p100:600+100=700 ; p10:50+70=120 ; p1:2+3=5 ; sum=700+120+5=825 |
base_conversion | base_conversion:repeated-division | n=56,base=4 | DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:320 |
multidigit_addition | multidigit_addition:left-to-right-partials | 837+293 | p100:800+200=1000 ; p10:30+90=120 ; p1:7+3=10 ; sum=1000+120+10=1130 |
multidigit_addition | multidigit_addition:left-to-right-partials | 481+400 | p100:400+400=800 ; p10:80+0=80 ; p1:1+0=1 ; sum=800+80+1=881 |
base_conversion | base_conversion:via-binary | n=146,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2102 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,5) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 160+782 | p100:100+700=800 ; p10:60+80=140 ; p1:0+2=2 ; sum=800+140+2=942 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=8 | 4x+20=8 ; 4x=-12 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 6, 7, 4 | [8,2,6,7,4] ; [8,7,6,2,4] ; [4,7,6,2,8] ; [7,4,6,2,8] ; [2,4,6,7,8] ; [6,4,2,7,8] ; [2,4,6,7,8] ; [4,2,6,7,8] ; [2,4,6,7,8] |
base_conversion | base_conversion:repeated-division | n=97,base=16 | DIV:97/16=6,r:1 ; DIV:6/16=0,r:6 ; OUT:61 |
multidigit_addition | multidigit_addition:right-to-left-carry | 353+211 | d2:3+1+0=4→w4,c0 ; d1:5+1+0=6→w6,c0 ; d0:3+2+0=5→w5,c0 ; sum=564 |
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) |
base_conversion | base_conversion:decomposition | n=162,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:242 |
multidigit_addition | multidigit_addition:rounding-decomposition | 384+147 | round:390+147=537 ; adjust:537-6=531 ; sum=531 |
list_summation | list_summation:pairwise | 4, 5, 4, 2 | 4+5=9 ; 4+2=6 ; 9+6=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 778+970 | p100:700+900=1600 ; p10:70+70=140 ; p1:8+0=8 ; sum=1600+140+8=1748 |
list_summation | list_summation:left-to-right | 1, 4, 4, 2 | 1+4=5 ; 5+4=9 ; 9+2=11 |
base_conversion | base_conversion:repeated-division | n=102,base=2 | DIV:102/2=51,r:0 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100110 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 3, 5, 6 | [1,8,3,5,6] ; [1,3,8,5,6] ; [1,3,5,8,6] ; [1,3,5,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=0 | 8x+56=0 ; x+7=0 ; x=0-7 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=4 | 4x-12=4 ; x=(4--12)/4 ; x=16/4 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 442+654 | round:450+654=1104 ; adjust:1104-8=1096 ; sum=1096 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+14=20 | 2x+14=20 ; x=(20-14)/2 ; x=6/2 ; x=3 |
base_conversion | base_conversion:repeated-division | n=237,base=16 | DIV:237/16=14,r:13 ; DIV:14/16=0,r:14 ; OUT:ED |
multidigit_addition | multidigit_addition:left-to-right-partials | 641+568 | p100:600+500=1100 ; p10:40+60=100 ; p1:1+8=9 ; sum=1100+100+9=1209 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 3, 7, 1 | [4,6,3,7,1] ; [3,4,6,7,1] ; [3,4,6,7,1] ; [1,3,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 7, 9, 1 | [0,3,7,9,1] ; [0,1,7,9,3] ; [0,1,3,9,7] ; [0,1,3,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 9, 1, 7 | [0,4,9,1,7] ; [0,4,9,1,7] ; [0,1,4,9,7] ; [0,1,4,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 492+384 | p100:400+300=700 ; p10:90+80=170 ; p1:2+4=6 ; sum=700+170+6=876 |
list_summation | list_summation:right-to-left | 4, 7, 3, 8 | 3+8=11 ; 7+11=18 ; 4+18=22 |
base_conversion | base_conversion:decomposition | n=152,base=16 | TERM:9*16^1=144 ; TERM:8*16^0=8 ; OUT:98 |
base_conversion | base_conversion:via-binary | n=23,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:7 ; OUT:27 |
base_conversion | base_conversion:decomposition | n=98,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:142 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=158,base=4 | DIV:158/4=39,r:2 ; DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2132 |
multidigit_addition | multidigit_addition:right-to-left-carry | 580+342 | d2:0+2+0=2→w2,c0 ; d1:8+4+0=12→w2,c1 ; d0:5+3+1=9→w9,c0 ; sum=922 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 8, 6, 3, 1 | [0,8,6,3,1] ; [0,6,8,3,1] ; [0,3,6,8,1] ; [0,1,3,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 6, 1, 4, 2 | [2,6,1,4,7] ; [6,2,1,4,7] ; [6,4,1,2,7] ; [2,4,1,6,7] ; [4,2,1,6,7] ; [1,2,4,6,7] ; [2,1,4,6,7] ; [1,2,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 8, 5, 2, 0 | [0,8,5,2,7] ; [0,2,5,8,7] ; [0,2,5,8,7] ; [0,2,5,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=3 | 3x+21=3 ; x+7=1 ; x=1-7 ; x=-6 |
base_conversion | base_conversion:via-binary | n=144,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2100 |
list_summation | list_summation:pairwise | 3, 6, 0, 3 | 3+6=9 ; 0+3=3 ; 9+3=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,1) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
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) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 3, 5, 9 | [0,3,5,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 4, 9, 7, 3 | [4,6,9,7,3] ; [4,6,9,7,3] ; [4,6,7,9,3] ; [3,4,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) |
list_summation | list_summation:right-to-left | 6, 4, 0, 6 | 0+6=6 ; 4+6=10 ; 6+10=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 2, 9, 0 | [6,7,2,9,0] ; [2,6,7,9,0] ; [2,6,7,9,0] ; [0,2,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 9, 0, 1, 7 | [0,1,6,9,7] ; [0,1,6,7,9] |
base_conversion | base_conversion:via-binary | n=26,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:122 |
multidigit_addition | multidigit_addition:rounding-decomposition | 457+535 | round:460+535=995 ; adjust:995-3=992 ; sum=992 |
multidigit_addition | multidigit_addition:left-to-right-partials | 482+591 | p100:400+500=900 ; p10:80+90=170 ; p1:2+1=3 ; sum=900+170+3=1073 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=32 | 2x+18=32 ; x=(32-18)/2 ; x=14/2 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 1, 8, 0 | [0,5,1,8,7] ; [0,1,5,8,7] ; [0,1,5,8,7] ; [0,1,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-63=-36 | 9x-63=-36 ; 9x=27 ; x=3 |
list_summation | list_summation:right-to-left | 6, 6, 5, 2 | 5+2=7 ; 6+7=13 ; 6+13=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 2, 8, 9, 5 | [2,3,8,9,5] ; [2,3,8,5,9] ; [2,3,5,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 117+137 | d2:7+7+0=14→w4,c1 ; d1:1+3+1=5→w5,c0 ; d0:1+1+0=2→w2,c0 ; sum=254 |
list_summation | list_summation:pairwise | 3, 0, 3, 7 | 3+0=3 ; 3+7=10 ; 3+10=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 305+283 | round:310+283=593 ; adjust:593-5=588 ; sum=588 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.