task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=137,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:2021 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 8, 7, 9 | [4,6,8,7,9] ; [4,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=99,base=16 | DIV:99/16=6,r:3 ; DIV:6/16=0,r:6 ; OUT:63 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 0, 9, 4 | [0,1,7,9,4] ; [0,1,7,9,4] ; [0,1,4,9,7] ; [0,1,4,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 0, 9, 8 | [2,3,0,9,8] ; [0,2,3,9,8] ; [0,2,3,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 0, 3, 2 | [6,8,0,3,2] ; [0,6,8,3,2] ; [0,3,6,8,2] ; [0,2,3,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=8 | 8x+64=8 ; 8x=-56 ; x=-7 |
base_conversion | base_conversion:decomposition | n=172,base=16 | TERM:10*16^1=160 ; TERM:12*16^0=12 ; OUT:AC |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 3, 6, 0 | [7,6,3,4,0] ; [0,6,3,4,7] ; [6,0,3,4,7] ; [6,4,3,0,7] ; [0,4,3,6,7] ; [4,0,3,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,3) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 5, 6, 1 | [0,5,6,8,1] ; [0,1,5,6,8] |
list_summation | list_summation:left-to-right | 6, 1, 4, 8 | 6+1=7 ; 7+4=11 ; 11+8=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-9=-54 | 9x-9=-54 ; x+-1=-6 ; x=-6--1 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 8, 7, 5 | [2,6,7,8,5] ; [2,6,7,5,8] ; [2,6,5,7,8] ; [2,5,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 0, 2, 7, 4 | 0+2=2 ; 7+4=11 ; 2+11=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 278+722 | round:280+722=1002 ; adjust:1002-2=1000 ; sum=1000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-24 | 3x-15=-24 ; 3x=-9 ; x=-3 |
list_summation | list_summation:pairwise | 0, 3, 7, 1 | 0+3=3 ; 7+1=8 ; 3+8=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 201+260 | p100:200+200=400 ; p10:0+60=60 ; p1:1+0=1 ; sum=400+60+1=461 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=65 | 5x+40=65 ; x+8=13 ; x=13-8 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 5, 3, 8 | [3,4,5,7,8] ; [3,4,5,7,8] ; [3,4,5,7,8] ; [3,4,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=0 | 9x-45=0 ; 9x=45 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 6, 9, 8 | [1,4,6,9,8] ; [1,4,6,9,8] ; [1,4,6,9,8] ; [1,4,6,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=244,base=2 | DIV:244/2=122,r:0 ; DIV:122/2=61,r:0 ; DIV:61/2=30,r:1 ; 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:11110100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-20 | 5x-45=-20 ; 5x=25 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 618+942 | round:620+942=1562 ; adjust:1562-2=1560 ; sum=1560 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=80 | 8x+56=80 ; x=(80-56)/8 ; x=24/8 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+48=78 | 6x+48=78 ; 6x=30 ; x=5 |
list_summation | list_summation:left-to-right | 5, 9, 3, 6 | 5+9=14 ; 14+3=17 ; 17+6=23 |
list_summation | list_summation:left-to-right | 0, 4, 2, 8 | 0+4=4 ; 4+2=6 ; 6+8=14 |
list_summation | list_summation:right-to-left | 4, 1, 8, 0 | 8+0=8 ; 1+8=9 ; 4+9=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=32 | 4x+4=32 ; x+1=8 ; x=8-1 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,5) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
list_summation | list_summation:pairwise | 0, 5, 9, 2 | 0+5=5 ; 9+2=11 ; 5+11=16 |
base_conversion | base_conversion:decomposition | n=102,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1100110 |
multidigit_addition | multidigit_addition:right-to-left-carry | 289+604 | d2:9+4+0=13→w3,c1 ; d1:8+0+1=9→w9,c0 ; d0:2+6+0=8→w8,c0 ; sum=893 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=48 | 4x+32=48 ; x=(48-32)/4 ; x=16/4 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=32 | 4x+8=32 ; x+2=8 ; x=8-2 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 653+721 | round:660+721=1381 ; adjust:1381-7=1374 ; sum=1374 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-10=20 | 5x-10=20 ; x=(20--10)/5 ; x=30/5 ; x=6 |
base_conversion | base_conversion:repeated-division | n=12,base=8 | DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:14 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 3, 8, 5, 1 | [0,5,8,3,1] ; [8,5,0,3,1] ; [1,5,0,3,8] ; [5,1,0,3,8] ; [5,3,0,1,8] ; [1,3,0,5,8] ; [3,1,0,5,8] ; [0,1,3,5,8] ; [1,0,3,5,8] ; [0,1,3,5,8] |
base_conversion | base_conversion:decomposition | n=27,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:123 |
list_summation | list_summation:pairwise | 4, 9, 6, 3 | 4+9=13 ; 6+3=9 ; 13+9=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,2) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=63 | 9x+27=63 ; x+3=7 ; x=7-3 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 535+800 | round:540+800=1340 ; adjust:1340-5=1335 ; sum=1335 |
list_summation | list_summation:pairwise | 3, 8, 0, 8 | 3+8=11 ; 0+8=8 ; 11+8=19 |
list_summation | list_summation:pairwise | 5, 5, 9, 1 | 5+5=10 ; 9+1=10 ; 10+10=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:left-to-right | 8, 8, 5, 2 | 8+8=16 ; 16+5=21 ; 21+2=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-80 | 8x-40=-80 ; x=(-80--40)/8 ; x=-40/8 ; x=-5 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 8, 2, 0 | [0,9,8,2,4] ; [0,2,8,9,4] ; [0,2,4,9,8] ; [0,2,4,8,9] |
base_conversion | base_conversion:decomposition | n=87,base=16 | TERM:5*16^1=80 ; TERM:7*16^0=7 ; OUT:57 |
multidigit_addition | multidigit_addition:right-to-left-carry | 321+910 | d2:1+0+0=1→w1,c0 ; d1:2+1+0=3→w3,c0 ; d0:3+9+0=12→w2,c1 ; sum=1231 |
base_conversion | base_conversion:repeated-division | n=205,base=2 | DIV:205/2=102,r:1 ; 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:11001101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 590+515 | d2:0+5+0=5→w5,c0 ; d1:9+1+0=10→w0,c1 ; d0:5+5+1=11→w1,c1 ; sum=1105 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+8=10 | 2x+8=10 ; x+4=5 ; x=5-4 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 200+798 | d2:0+8+0=8→w8,c0 ; d1:0+9+0=9→w9,c0 ; d0:2+7+0=9→w9,c0 ; sum=998 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+4=-28 | 4x+4=-28 ; 4x=-32 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,1) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=5 | 5x+15=5 ; 5x=-10 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 282+436 | round:290+436=726 ; adjust:726-8=718 ; sum=718 |
base_conversion | base_conversion:decomposition | n=188,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:274 |
multidigit_addition | multidigit_addition:left-to-right-partials | 467+613 | p100:400+600=1000 ; p10:60+10=70 ; p1:7+3=10 ; sum=1000+70+10=1080 |
list_summation | list_summation:right-to-left | 1, 9, 8, 2 | 8+2=10 ; 9+10=19 ; 1+19=20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 8, 2, 0 | [6,7,2,8,0] ; [6,7,2,0,8] ; [6,2,7,0,8] ; [6,2,0,7,8] ; [2,6,0,7,8] ; [2,0,6,7,8] ; [0,2,6,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 1, 6, 9 | [4,1,7,6,9] ; [4,1,6,7,9] ; [1,4,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 8, 7, 2 | [9,7,8,5,2] ; [2,7,8,5,9] ; [8,7,2,5,9] ; [5,7,2,8,9] ; [7,5,2,8,9] ; [2,5,7,8,9] ; [5,2,7,8,9] ; [2,5,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=-36 | 6x-30=-36 ; x=(-36--30)/6 ; x=-6/6 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 2, 4, 6 | [1,8,2,4,6] ; [1,2,8,4,6] ; [1,2,4,8,6] ; [1,2,4,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 952+727 | p100:900+700=1600 ; p10:50+20=70 ; p1:2+7=9 ; sum=1600+70+9=1679 |
multidigit_addition | multidigit_addition:right-to-left-carry | 960+144 | d2:0+4+0=4→w4,c0 ; d1:6+4+0=10→w0,c1 ; d0:9+1+1=11→w1,c1 ; sum=1104 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-70 | 7x-56=-70 ; x+-8=-10 ; x=-10--8 ; x=-2 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 0, 1, 6 | [0,1,4,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 382+759 | round:390+759=1149 ; adjust:1149-8=1141 ; sum=1141 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,4) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 5, 4, 2 | [0,1,5,4,2] ; [0,1,4,5,2] ; [0,1,4,2,5] ; [0,1,2,4,5] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=0 | 4x+24=0 ; x=(0-24)/4 ; x=-24/4 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-36=-45 | 9x-36=-45 ; x=(-45--36)/9 ; x=-9/9 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=221,base=8 | DIV:221/8=27,r:5 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:335 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=-48 | 8x+16=-48 ; x=(-48-16)/8 ; x=-64/8 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+63=0 | 9x+63=0 ; 9x=-63 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 5, 7, 0 | [5,7,8,9,0] ; [0,5,7,8,9] |
list_summation | list_summation:right-to-left | 9, 9, 9, 4 | 9+4=13 ; 9+13=22 ; 9+22=31 |
multidigit_addition | multidigit_addition:right-to-left-carry | 717+101 | d2:7+1+0=8→w8,c0 ; d1:1+0+0=1→w1,c0 ; d0:7+1+0=8→w8,c0 ; sum=818 |
base_conversion | base_conversion:decomposition | n=187,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:3*8^0=3 ; OUT:273 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=-18 | 6x+30=-18 ; x=(-18-30)/6 ; x=-48/6 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 3, 6, 0, 5 | [2,3,6,0,5] ; [2,3,6,0,5] ; [0,2,3,6,5] ; [0,2,3,5,6] |
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