task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 923+297 | d2:3+7+0=10→w0,c1 ; d1:2+9+1=12→w2,c1 ; d0:9+2+1=12→w2,c1 ; sum=1220 |
multidigit_addition | multidigit_addition:right-to-left-carry | 180+603 | d2:0+3+0=3→w3,c0 ; d1:8+0+0=8→w8,c0 ; d0:1+6+0=7→w7,c0 ; sum=783 |
multidigit_addition | multidigit_addition:rounding-decomposition | 646+788 | round:650+788=1438 ; adjust:1438-4=1434 ; sum=1434 |
multidigit_addition | multidigit_addition:right-to-left-carry | 829+997 | d2:9+7+0=16→w6,c1 ; d1:2+9+1=12→w2,c1 ; d0:8+9+1=18→w8,c1 ; sum=1826 |
base_conversion | base_conversion:decomposition | n=184,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:2320 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 854+693 | p100:800+600=1400 ; p10:50+90=140 ; p1:4+3=7 ; sum=1400+140+7=1547 |
base_conversion | base_conversion:decomposition | n=66,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1000010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,5) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 839+359 | p100:800+300=1100 ; p10:30+50=80 ; p1:9+9=18 ; sum=1100+80+18=1198 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-12 | 3x-15=-12 ; x+-5=-4 ; x=-4--5 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 785+845 | p100:700+800=1500 ; p10:80+40=120 ; p1:5+5=10 ; sum=1500+120+10=1630 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+8=26 | 2x+8=26 ; x+4=13 ; x=13-4 ; x=9 |
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 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 6, 3, 2 | [1,5,6,3,2] ; [1,5,6,3,2] ; [1,3,5,6,2] ; [1,2,3,5,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 2, 5, 7, 6 | [1,2,5,6,7] |
list_summation | list_summation:pairwise | 7, 7, 1, 5 | 7+7=14 ; 1+5=6 ; 14+6=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 898+967 | d2:8+7+0=15→w5,c1 ; d1:9+6+1=16→w6,c1 ; d0:8+9+1=18→w8,c1 ; sum=1865 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=-54 | 6x+0=-54 ; 6x=-54 ; x=-9 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 8, 5, 3, 4 | [0,8,5,3,4] ; [0,3,5,8,4] ; [0,3,4,8,5] ; [0,3,4,5,8] |
list_summation | list_summation:right-to-left | 2, 7, 0, 0 | 0+0=0 ; 7+0=7 ; 2+7=9 |
base_conversion | base_conversion:decomposition | n=160,base=16 | TERM:10*16^1=160 ; TERM:0*16^0=0 ; OUT:A0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=30 | 3x+21=30 ; x+7=10 ; x=10-7 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=16 | 4x-4=16 ; x+-1=4 ; x=4--1 ; x=5 |
base_conversion | base_conversion:decomposition | n=123,base=8 | TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:3*8^0=3 ; OUT:173 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 5, 3, 4 | [6,4,5,3,2] ; [2,4,5,3,6] ; [5,4,2,3,6] ; [3,4,2,5,6] ; [4,3,2,5,6] ; [2,3,4,5,6] ; [3,2,4,5,6] ; [2,3,4,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+45=-9 | 9x+45=-9 ; x+5=-1 ; x=-1-5 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=77 | 7x+35=77 ; x=(77-35)/7 ; x=42/7 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 1, 4, 9 | [0,7,1,4,9] ; [0,1,7,4,9] ; [0,1,4,7,9] ; [0,1,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=81 | 9x+9=81 ; 9x=72 ; x=8 |
base_conversion | base_conversion:via-binary | n=154,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:2122 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 6, 4, 1 | [0,9,6,4,1] ; [0,9,4,6,1] ; [0,4,6,9,1] ; [0,1,4,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 306+889 | round:310+889=1199 ; adjust:1199-4=1195 ; sum=1195 |
list_summation | list_summation:pairwise | 6, 6, 5, 3 | 6+6=12 ; 5+3=8 ; 12+8=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 313+147 | round:320+147=467 ; adjust:467-7=460 ; sum=460 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,3) | D:(2,2) ; D:(3,2) ; R:(3,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,3) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=16 | 8x-48=16 ; x+-6=2 ; x=2--6 ; x=8 |
base_conversion | base_conversion:via-binary | n=74,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:10 ; OUT:4A |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=-4 | 2x-6=-4 ; 2x=2 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 654+499 | round:660+499=1159 ; adjust:1159-6=1153 ; sum=1153 |
multidigit_addition | multidigit_addition:rounding-decomposition | 501+988 | round:510+988=1498 ; adjust:1498-9=1489 ; sum=1489 |
base_conversion | base_conversion:decomposition | n=67,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:3*8^0=3 ; OUT:103 |
multidigit_addition | multidigit_addition:left-to-right-partials | 937+871 | p100:900+800=1700 ; p10:30+70=100 ; p1:7+1=8 ; sum=1700+100+8=1808 |
base_conversion | base_conversion:repeated-division | n=125,base=16 | DIV:125/16=7,r:13 ; DIV:7/16=0,r:7 ; OUT:7D |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 8, 6, 0, 2 | [8,7,6,0,2] ; [2,7,6,0,8] ; [7,2,6,0,8] ; [0,2,6,7,8] ; [6,2,0,7,8] ; [0,2,6,7,8] ; [2,0,6,7,8] ; [0,2,6,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 0, 8, 6 | [0,1,3,8,6] ; [0,1,3,6,8] |
list_summation | list_summation:left-to-right | 1, 3, 4, 0 | 1+3=4 ; 4+4=8 ; 8+0=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 146+299 | round:150+299=449 ; adjust:449-4=445 ; sum=445 |
base_conversion | base_conversion:decomposition | n=31,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-72=-63 | 9x-72=-63 ; 9x=9 ; x=1 |
base_conversion | base_conversion:via-binary | n=255,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11111111 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 9, 8, 6 | [4,8,9,3,6] ; [9,8,4,3,6] ; [6,8,4,3,9] ; [8,6,4,3,9] ; [3,6,4,8,9] ; [6,3,4,8,9] ; [4,3,6,8,9] ; [3,4,6,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 8, 5, 4 | [3,7,5,8,4] ; [3,7,5,4,8] ; [3,5,7,4,8] ; [3,5,4,7,8] ; [3,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=72,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1001000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=8 | 4x+20=8 ; 4x=-12 ; x=-3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 117+897 | round:120+897=1017 ; adjust:1017-3=1014 ; sum=1014 |
multidigit_addition | multidigit_addition:left-to-right-partials | 702+625 | p100:700+600=1300 ; p10:0+20=20 ; p1:2+5=7 ; sum=1300+20+7=1327 |
base_conversion | base_conversion:via-binary | n=254,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11111110 |
multidigit_addition | multidigit_addition:rounding-decomposition | 683+971 | round:690+971=1661 ; adjust:1661-7=1654 ; sum=1654 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 0, 6, 2 | [0,8,3,6,2] ; [0,2,3,6,8] ; [0,2,3,6,8] ; [0,2,3,6,8] |
base_conversion | base_conversion:repeated-division | n=124,base=4 | DIV:124/4=31,r:0 ; DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1330 |
multidigit_addition | multidigit_addition:left-to-right-partials | 428+715 | p100:400+700=1100 ; p10:20+10=30 ; p1:8+5=13 ; sum=1100+30+13=1143 |
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) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 6, 3, 1 | [0,4,6,3,1] ; [0,4,3,6,1] ; [0,3,4,6,1] ; [0,1,3,4,6] |
base_conversion | base_conversion:via-binary | n=250,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:10 ; OUT:FA |
base_conversion | base_conversion:decomposition | n=247,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:3313 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(1,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; R:(1,4) |
list_summation | list_summation:left-to-right | 3, 5, 3, 7 | 3+5=8 ; 8+3=11 ; 11+7=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 164+430 | round:170+430=600 ; adjust:600-6=594 ; sum=594 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 748+763 | p100:700+700=1400 ; p10:40+60=100 ; p1:8+3=11 ; sum=1400+100+11=1511 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 5, 7, 9 | [1,9,5,7,6] ; [9,1,5,7,6] ; [9,7,5,1,6] ; [6,7,5,1,9] ; [7,6,5,1,9] ; [1,6,5,7,9] ; [6,1,5,7,9] ; [5,1,6,7,9] ; [1,5,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=-28 | 7x+21=-28 ; 7x=-49 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,4) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 343+823 | p100:300+800=1100 ; p10:40+20=60 ; p1:3+3=6 ; sum=1100+60+6=1166 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 5, 4, 8 | [0,7,5,4,8] ; [0,7,4,5,8] ; [0,4,5,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 1, 5, 4 | [2,9,1,5,4] ; [1,2,9,5,4] ; [1,2,5,9,4] ; [1,2,4,5,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 1, 9, 5 | [3,4,1,9,5] ; [1,3,4,9,5] ; [1,3,4,5,9] |
base_conversion | base_conversion:repeated-division | n=207,base=2 | DIV:207/2=103,r:1 ; DIV:103/2=51,r:1 ; 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:11001111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=-14 | 2x+2=-14 ; x+1=-7 ; x=-7-1 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 3, 2, 9 | [6,8,3,2,9] ; [6,8,2,3,9] ; [2,3,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 6, 5, 0, 3 | 6+5=11 ; 11+0=11 ; 11+3=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 860+281 | d2:0+1+0=1→w1,c0 ; d1:6+8+0=14→w4,c1 ; d0:8+2+1=11→w1,c1 ; sum=1141 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+21=-3 | 3x+21=-3 ; x=(-3-21)/3 ; x=-24/3 ; x=-8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=20 | 5x-15=20 ; x=(20--15)/5 ; x=35/5 ; x=7 |
base_conversion | base_conversion:decomposition | n=91,base=16 | TERM:5*16^1=80 ; TERM:11*16^0=11 ; OUT:5B |
list_summation | list_summation:right-to-left | 6, 8, 4, 6 | 4+6=10 ; 8+10=18 ; 6+18=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=-8 | 4x+4=-8 ; x+1=-2 ; x=-2-1 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 9, 4, 3 | [9,8,0,4,3] ; [3,8,0,4,9] ; [8,3,0,4,9] ; [8,4,0,3,9] ; [3,4,0,8,9] ; [4,3,0,8,9] ; [0,3,4,8,9] ; [3,0,4,8,9] ; [0,3,4,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 2, 7, 0 | [2,4,6,7,0] ; [0,2,4,6,7] |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 3, 5, 1 | [6,7,3,5,1] ; [3,5,6,7,1] ; [1,3,5,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,1) | R:(3,1) ; D:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+32=48 | 4x+32=48 ; 4x=16 ; x=4 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.