task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-24=4 | 4x-24=4 ; x+-6=1 ; x=1--6 ; x=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 9, 8, 7 | [6,8,9,4,7] ; [9,8,6,4,7] ; [7,8,6,4,9] ; [8,7,6,4,9] ; [4,7,6,8,9] ; [7,4,6,8,9] ; [6,4,7,8,9] ; [4,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=2 | 2x+12=2 ; 2x=-10 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 0, 6, 4 | [2,9,0,6,4] ; [2,0,9,6,4] ; [2,0,6,9,4] ; [2,0,6,4,9] ; [0,2,6,4,9] ; [0,2,4,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=-15 | 5x+0=-15 ; x=(-15-0)/5 ; x=-15/5 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 6, 9, 4 | [2,8,6,9,4] ; [2,4,6,9,8] ; [2,4,6,9,8] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 909+207 | d2:9+7+0=16→w6,c1 ; d1:0+0+1=1→w1,c0 ; d0:9+2+0=11→w1,c1 ; sum=1116 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 7, 8, 3, 6 | [3,7,8,5,6] ; [3,5,8,7,6] ; [3,5,6,7,8] ; [3,5,6,7,8] |
base_conversion | base_conversion:decomposition | n=247,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11110111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=-14 | 7x-14=-14 ; x=(-14--14)/7 ; x=0/7 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+32=24 | 8x+32=24 ; x+4=3 ; x=3-4 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 978+367 | d2:8+7+0=15→w5,c1 ; d1:7+6+1=14→w4,c1 ; d0:9+3+1=13→w3,c1 ; sum=1345 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=102 | 6x+48=102 ; x+8=17 ; x=17-8 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-8 | 8x-48=-8 ; x=(-8--48)/8 ; x=40/8 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=0 | 5x-15=0 ; x+-3=0 ; x=0--3 ; x=3 |
list_summation | list_summation:right-to-left | 4, 5, 8, 9 | 8+9=17 ; 5+17=22 ; 4+22=26 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=-49 | 7x+0=-49 ; 7x=-49 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 8, 9, 0 | [3,4,8,9,0] ; [3,4,8,9,0] ; [3,4,8,9,0] ; [0,3,4,8,9] |
base_conversion | base_conversion:decomposition | n=60,base=8 | TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:74 |
multidigit_addition | multidigit_addition:rounding-decomposition | 506+237 | round:510+237=747 ; adjust:747-4=743 ; sum=743 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-64=-80 | 8x-64=-80 ; x+-8=-10 ; x=-10--8 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 814+807 | d2:4+7+0=11→w1,c1 ; d1:1+0+1=2→w2,c0 ; d0:8+8+0=16→w6,c1 ; sum=1621 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 5, 8, 6 | [4,7,5,8,6] ; [4,5,7,8,6] ; [4,5,6,8,7] ; [4,5,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+36=108 | 9x+36=108 ; 9x=72 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=-64 | 8x-8=-64 ; x=(-64--8)/8 ; x=-56/8 ; x=-7 |
base_conversion | base_conversion:via-binary | n=17,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; OUT:11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=51,base=16 | DIV:51/16=3,r:3 ; DIV:3/16=0,r:3 ; OUT:33 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,4) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 6, 5, 7, 4 | [3,5,6,7,4] ; [3,4,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 118+760 | round:120+760=880 ; adjust:880-2=878 ; sum=878 |
multidigit_addition | multidigit_addition:left-to-right-partials | 862+114 | p100:800+100=900 ; p10:60+10=70 ; p1:2+4=6 ; sum=900+70+6=976 |
multidigit_addition | multidigit_addition:rounding-decomposition | 160+327 | round:160+327=487 ; adjust:487-0=487 ; sum=487 |
list_summation | list_summation:right-to-left | 0, 9, 6, 7 | 6+7=13 ; 9+13=22 ; 0+22=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=27 | 9x+18=27 ; 9x=9 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=42 | 7x+0=42 ; 7x=42 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=32 | 8x+24=32 ; 8x=8 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=62,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:6 ; OUT:76 |
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:divide-then-subtract | 3x-15=-6 | 3x-15=-6 ; x+-5=-2 ; x=-2--5 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-66 | 6x-54=-66 ; x=(-66--54)/6 ; x=-12/6 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=24 | 8x+56=24 ; 8x=-32 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-22 | 2x-10=-22 ; x=(-22--10)/2 ; x=-12/2 ; x=-6 |
base_conversion | base_conversion:repeated-division | n=252,base=2 | DIV:252/2=126,r:0 ; DIV:126/2=63,r:0 ; DIV:63/2=31,r:1 ; DIV:31/2=15,r:1 ; 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:11111100 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 0, 3, 1 | [4,3,0,2,1] ; [1,3,0,2,4] ; [3,1,0,2,4] ; [3,2,0,1,4] ; [1,2,0,3,4] ; [2,1,0,3,4] ; [0,1,2,3,4] ; [1,0,2,3,4] ; [0,1,2,3,4] |
multidigit_addition | multidigit_addition:left-to-right-partials | 901+139 | p100:900+100=1000 ; p10:0+30=30 ; p1:1+9=10 ; sum=1000+30+10=1040 |
base_conversion | base_conversion:decomposition | n=118,base=16 | TERM:7*16^1=112 ; TERM:6*16^0=6 ; OUT:76 |
list_summation | list_summation:right-to-left | 4, 6, 3, 1 | 3+1=4 ; 6+4=10 ; 4+10=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=-20 | 5x+5=-20 ; x=(-20-5)/5 ; x=-25/5 ; x=-5 |
list_summation | list_summation:pairwise | 0, 7, 7, 5 | 0+7=7 ; 7+5=12 ; 7+12=19 |
base_conversion | base_conversion:via-binary | n=224,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:0 ; OUT:340 |
multidigit_addition | multidigit_addition:rounding-decomposition | 983+358 | round:990+358=1348 ; adjust:1348-7=1341 ; sum=1341 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 8, 7, 4 | [0,2,7,8,4] ; [0,2,7,4,8] ; [0,2,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=30 | 5x+25=30 ; x+5=6 ; x=6-5 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 553+366 | p100:500+300=800 ; p10:50+60=110 ; p1:3+6=9 ; sum=800+110+9=919 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-56 | 8x-40=-56 ; x=(-56--40)/8 ; x=-16/8 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=12 | 6x+18=12 ; 6x=-6 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=178,base=16 | TERM:11*16^1=176 ; TERM:2*16^0=2 ; OUT:B2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-45 | 5x-45=-45 ; x+-9=-9 ; x=-9--9 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 1, 3, 9 | [0,9,1,3,4] ; [9,0,1,3,4] ; [9,4,1,3,0] ; [0,4,1,3,9] ; [4,0,1,3,9] ; [4,3,1,0,9] ; [0,3,1,4,9] ; [3,0,1,4,9] ; [1,0,3,4,9] ; [0,1,3,4,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 5, 0, 3, 6 | [0,1,3,5,6] |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 5, 9, 6, 7 | [1,5,6,9,7] ; [1,5,6,7,9] |
list_summation | list_summation:pairwise | 7, 8, 2, 8 | 7+8=15 ; 2+8=10 ; 15+10=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 9, 5, 7 | [4,7,9,5,6] ; [9,7,4,5,6] ; [6,7,4,5,9] ; [7,6,4,5,9] ; [5,6,4,7,9] ; [6,5,4,7,9] ; [4,5,6,7,9] ; [5,4,6,7,9] ; [4,5,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 671+670 | round:680+670=1350 ; adjust:1350-9=1341 ; sum=1341 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=20 | 2x+18=20 ; x+9=10 ; x=10-9 ; x=1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 421+600 | p100:400+600=1000 ; p10:20+0=20 ; p1:1+0=1 ; sum=1000+20+1=1021 |
list_summation | list_summation:right-to-left | 6, 3, 4, 6 | 4+6=10 ; 3+10=13 ; 6+13=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+81=18 | 9x+81=18 ; x=(18-81)/9 ; x=-63/9 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 9, 1, 0, 3 | [6,9,0,1,3] ; [0,1,6,9,3] ; [0,1,3,6,9] |
list_summation | list_summation:left-to-right | 9, 7, 0, 5 | 9+7=16 ; 16+0=16 ; 16+5=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-24 | 2x-12=-24 ; x+-6=-12 ; x=-12--6 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 7, 4, 3 | [5,7,9,4,3] ; [5,7,4,9,3] ; [5,7,4,3,9] ; [5,4,7,3,9] ; [5,4,3,7,9] ; [4,5,3,7,9] ; [4,3,5,7,9] ; [3,4,5,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+35=0 | 7x+35=0 ; x+5=0 ; x=0-5 ; x=-5 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 0, 3, 2 | [9,8,0,3,2] ; [2,8,0,3,9] ; [8,2,0,3,9] ; [8,3,0,2,9] ; [2,3,0,8,9] ; [3,2,0,8,9] ; [0,2,3,8,9] ; [2,0,3,8,9] ; [0,2,3,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 234+553 | d2:4+3+0=7→w7,c0 ; d1:3+5+0=8→w8,c0 ; d0:2+5+0=7→w7,c0 ; sum=787 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-2 | 2x-12=-2 ; x+-6=-1 ; x=-1--6 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 495+638 | d2:5+8+0=13→w3,c1 ; d1:9+3+1=13→w3,c1 ; d0:4+6+1=11→w1,c1 ; sum=1133 |
base_conversion | base_conversion:decomposition | n=34,base=16 | TERM:2*16^1=32 ; TERM:2*16^0=2 ; OUT:22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 775+662 | round:780+662=1442 ; adjust:1442-5=1437 ; sum=1437 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=-56 | 7x-28=-56 ; 7x=-28 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 652+165 | p100:600+100=700 ; p10:50+60=110 ; p1:2+5=7 ; sum=700+110+7=817 |
list_summation | list_summation:left-to-right | 4, 1, 6, 8 | 4+1=5 ; 5+6=11 ; 11+8=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-42=7 | 7x-42=7 ; x=(7--42)/7 ; x=49/7 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 918+385 | d2:8+5+0=13→w3,c1 ; d1:1+8+1=10→w0,c1 ; d0:9+3+1=13→w3,c1 ; sum=1303 |
base_conversion | base_conversion:decomposition | n=177,base=16 | TERM:11*16^1=176 ; TERM:1*16^0=1 ; OUT:B1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 5, 4, 9, 0 | [3,5,4,9,0] ; [3,4,5,9,0] ; [3,4,5,9,0] ; [0,3,4,5,9] |
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