task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 9, 1, 0, 9 | 9+1=10 ; 0+9=9 ; 10+9=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 927+650 | round:930+650=1580 ; adjust:1580-3=1577 ; sum=1577 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=75,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:3*8^0=3 ; OUT:113 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 9, 3, 2 | [6,8,9,3,2] ; [6,8,9,3,2] ; [3,6,8,9,2] ; [2,3,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=39 | 3x+15=39 ; x+5=13 ; x=13-5 ; x=8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 4, 7, 8 | [0,5,4,7,8] ; [0,4,5,7,8] ; [0,4,5,7,8] ; [0,4,5,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 505+145 | d2:5+5+0=10→w0,c1 ; d1:0+4+1=5→w5,c0 ; d0:5+1+0=6→w6,c0 ; sum=650 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,4) | R:(0,4) ; D:(1,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 592+751 | d2:2+1+0=3→w3,c0 ; d1:9+5+0=14→w4,c1 ; d0:5+7+1=13→w3,c1 ; sum=1343 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 8, 1, 6 | [5,7,1,8,6] ; [5,7,1,6,8] ; [5,1,7,6,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
base_conversion | base_conversion:repeated-division | n=83,base=2 | DIV:83/2=41,r:1 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010011 |
list_summation | list_summation:right-to-left | 7, 4, 5, 1 | 5+1=6 ; 4+6=10 ; 7+10=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 307+136 | p100:300+100=400 ; p10:0+30=30 ; p1:7+6=13 ; sum=400+30+13=443 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=56 | 8x+40=56 ; x=(56-40)/8 ; x=16/8 ; x=2 |
base_conversion | base_conversion:via-binary | n=89,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1011001 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 3, 9, 4 | [1,3,6,9,4] ; [1,3,6,4,9] ; [1,3,4,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 8, 3, 2 | [7,3,8,1,2] ; [8,3,7,1,2] ; [2,3,7,1,8] ; [7,3,2,1,8] ; [1,3,2,7,8] ; [3,1,2,7,8] ; [2,1,3,7,8] ; [1,2,3,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 0, 5, 3 | [1,6,0,5,3] ; [0,1,6,5,3] ; [0,1,5,6,3] ; [0,1,3,5,6] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 6, 4, 2, 1 | [0,6,2,4,1] ; [0,2,4,6,1] ; [0,1,2,4,6] |
list_summation | list_summation:pairwise | 4, 5, 8, 8 | 4+5=9 ; 8+8=16 ; 9+16=25 |
list_summation | list_summation:pairwise | 3, 8, 6, 1 | 3+8=11 ; 6+1=7 ; 11+7=18 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 9, 7, 5, 8 | [6,9,7,5,8] ; [6,7,9,5,8] ; [5,6,7,9,8] ; [5,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=32 | 8x+56=32 ; 8x=-24 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 5, 2, 8 | [0,9,5,2,8] ; [0,5,9,2,8] ; [0,5,2,9,8] ; [0,5,2,8,9] ; [0,2,5,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 7, 1, 3, 5 | 3+5=8 ; 1+8=9 ; 7+9=16 |
base_conversion | base_conversion:decomposition | n=143,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:2033 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-60 | 6x-48=-60 ; x+-8=-10 ; x=-10--8 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 2, 9, 1 | [3,5,2,9,1] ; [2,3,5,9,1] ; [2,3,5,9,1] ; [1,2,3,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 765+740 | d2:5+0+0=5→w5,c0 ; d1:6+4+0=10→w0,c1 ; d0:7+7+1=15→w5,c1 ; sum=1505 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=-45 | 9x-18=-45 ; x+-2=-5 ; x=-5--2 ; x=-3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 9, 8, 2 | [1,4,9,8,2] ; [1,4,8,9,2] ; [1,4,8,2,9] ; [1,4,2,8,9] ; [1,2,4,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 4, 8, 6, 7 | [3,4,6,8,7] ; [3,4,6,7,8] |
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:insertion-sort | 0, 9, 2, 1, 7 | [0,9,2,1,7] ; [0,2,9,1,7] ; [0,1,2,9,7] ; [0,1,2,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 5, 7, 0 | [1,5,7,9,0] ; [0,1,5,7,9] |
base_conversion | base_conversion:decomposition | n=195,base=16 | TERM:12*16^1=192 ; TERM:3*16^0=3 ; OUT:C3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+2=-16 | 2x+2=-16 ; x=(-16-2)/2 ; x=-18/2 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-9=-36 | 3x-9=-36 ; 3x=-27 ; x=-9 |
list_summation | list_summation:right-to-left | 6, 9, 1, 9 | 1+9=10 ; 9+10=19 ; 6+19=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=18 | 6x+30=18 ; x=(18-30)/6 ; x=-12/6 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=51,base=4 | DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:303 |
base_conversion | base_conversion:decomposition | n=159,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; 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:10011111 |
base_conversion | base_conversion:decomposition | n=95,base=16 | TERM:5*16^1=80 ; TERM:15*16^0=15 ; OUT:5F |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 5, 4, 0 | [9,8,5,4,0] ; [0,8,5,4,9] ; [8,0,5,4,9] ; [8,4,5,0,9] ; [0,4,5,8,9] ; [5,4,0,8,9] ; [0,4,5,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 2, 6, 0, 4 | [5,4,6,0,2] ; [6,4,5,0,2] ; [2,4,5,0,6] ; [5,4,2,0,6] ; [0,4,2,5,6] ; [4,0,2,5,6] ; [2,0,4,5,6] ; [0,2,4,5,6] |
base_conversion | base_conversion:decomposition | n=20,base=8 | TERM:2*8^1=16 ; TERM:4*8^0=4 ; OUT:24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=-70 | 5x-30=-70 ; 5x=-40 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 1, 3, 8 | [9,8,1,3,7] ; [7,8,1,3,9] ; [8,7,1,3,9] ; [3,7,1,8,9] ; [7,3,1,8,9] ; [1,3,7,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9] |
list_summation | list_summation:right-to-left | 7, 7, 9, 6 | 9+6=15 ; 7+15=22 ; 7+22=29 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+32=-40 | 8x+32=-40 ; 8x=-72 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 325+676 | round:330+676=1006 ; adjust:1006-5=1001 ; sum=1001 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 1, 3, 4 | [8,9,1,3,4] ; [1,8,9,3,4] ; [1,3,8,9,4] ; [1,3,4,8,9] |
list_summation | list_summation:right-to-left | 3, 8, 2, 8 | 2+8=10 ; 8+10=18 ; 3+18=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=49 | 7x+28=49 ; 7x=21 ; x=3 |
base_conversion | base_conversion:via-binary | n=81,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:1 ; OUT:51 |
multidigit_addition | multidigit_addition:right-to-left-carry | 606+519 | d2:6+9+0=15→w5,c1 ; d1:0+1+1=2→w2,c0 ; d0:6+5+0=11→w1,c1 ; sum=1125 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-4=-20 | 2x-4=-20 ; 2x=-16 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 4, 8, 9 | [2,5,4,8,9] ; [2,4,5,8,9] ; [2,4,5,8,9] ; [2,4,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 248+423 | p100:200+400=600 ; p10:40+20=60 ; p1:8+3=11 ; sum=600+60+11=671 |
list_summation | list_summation:pairwise | 3, 3, 1, 5 | 3+3=6 ; 1+5=6 ; 6+6=12 |
list_summation | list_summation:left-to-right | 8, 8, 4, 4 | 8+8=16 ; 16+4=20 ; 20+4=24 |
multidigit_addition | multidigit_addition:right-to-left-carry | 763+807 | d2:3+7+0=10→w0,c1 ; d1:6+0+1=7→w7,c0 ; d0:7+8+0=15→w5,c1 ; sum=1570 |
multidigit_addition | multidigit_addition:rounding-decomposition | 670+214 | round:670+214=884 ; adjust:884-0=884 ; sum=884 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; R:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 0, 5, 9 | [7,8,0,5,9] ; [0,5,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 4, 7, 8 | [2,5,4,7,8] ; [2,4,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 8, 2, 2, 2 | 2+2=4 ; 2+4=6 ; 8+6=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+14=-42 | 7x+14=-42 ; x=(-42-14)/7 ; x=-56/7 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=14 | 7x-49=14 ; 7x=63 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 175+861 | p100:100+800=900 ; p10:70+60=130 ; p1:5+1=6 ; sum=900+130+6=1036 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 2, 0, 4 | [0,9,2,7,4] ; [0,2,9,7,4] ; [0,2,4,7,9] ; [0,2,4,7,9] |
base_conversion | base_conversion:repeated-division | n=136,base=16 | DIV:136/16=8,r:8 ; DIV:8/16=0,r:8 ; OUT:88 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=-4 | 2x+6=-4 ; x=(-4-6)/2 ; x=-10/2 ; x=-5 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 2, 5, 0 | [0,3,2,5,9] ; [0,2,3,5,9] ; [0,2,3,5,9] ; [0,2,3,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 400+197 | p100:400+100=500 ; p10:0+90=90 ; p1:0+7=7 ; sum=500+90+7=597 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+72=9 | 9x+72=9 ; x+8=1 ; x=1-8 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=41,base=2 | DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-16=-52 | 4x-16=-52 ; x+-4=-13 ; x=-13--4 ; x=-9 |
list_summation | list_summation:pairwise | 8, 1, 1, 4 | 8+1=9 ; 1+4=5 ; 9+5=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=96 | 8x+72=96 ; 8x=24 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-36=-27 | 9x-36=-27 ; 9x=9 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 632+420 | round:640+420=1060 ; adjust:1060-8=1052 ; sum=1052 |
list_summation | list_summation:pairwise | 8, 6, 4, 9 | 8+6=14 ; 4+9=13 ; 14+13=27 |
base_conversion | base_conversion:decomposition | n=51,base=8 | TERM:6*8^1=48 ; TERM:3*8^0=3 ; OUT:63 |
base_conversion | base_conversion:decomposition | n=67,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:1*2^0=1 ; OUT:1000011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=-2 | 2x+8=-2 ; x=(-2-8)/2 ; x=-10/2 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,2) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 474+814 | round:480+814=1294 ; adjust:1294-6=1288 ; sum=1288 |
multidigit_addition | multidigit_addition:left-to-right-partials | 326+595 | p100:300+500=800 ; p10:20+90=110 ; p1:6+5=11 ; sum=800+110+11=921 |
base_conversion | base_conversion:decomposition | n=162,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:2202 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.