task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=109,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:155 |
base_conversion | base_conversion:decomposition | n=126,base=16 | TERM:7*16^1=112 ; TERM:14*16^0=14 ; OUT:7E |
list_summation | list_summation:pairwise | 8, 0, 8, 4 | 8+0=8 ; 8+4=12 ; 8+12=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; R:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=-45 | 5x+0=-45 ; 5x=-45 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-18 | 6x+12=-18 ; x+2=-3 ; x=-3-2 ; x=-5 |
list_summation | list_summation:pairwise | 2, 9, 6, 4 | 2+9=11 ; 6+4=10 ; 11+10=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 490+627 | round:490+627=1117 ; adjust:1117-0=1117 ; sum=1117 |
multidigit_addition | multidigit_addition:right-to-left-carry | 421+747 | d2:1+7+0=8→w8,c0 ; d1:2+4+0=6→w6,c0 ; d0:4+7+0=11→w1,c1 ; sum=1168 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,1) | R:(0,1) ; D:(1,1) ; D:(2,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 453+364 | d2:3+4+0=7→w7,c0 ; d1:5+6+0=11→w1,c1 ; d0:4+3+1=8→w8,c0 ; sum=817 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 1, 7, 4 | [1,5,3,7,4] ; [1,3,5,7,4] ; [1,3,4,7,5] ; [1,3,4,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=60 | 5x+15=60 ; x=(60-15)/5 ; x=45/5 ; x=9 |
list_summation | list_summation:pairwise | 0, 1, 9, 1 | 0+1=1 ; 9+1=10 ; 1+10=11 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 4, 9, 1, 8 | [3,4,1,9,8] ; [3,4,1,8,9] ; [3,1,4,8,9] ; [1,3,4,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 7, 4, 8, 9 | [1,9,4,8,7] ; [9,1,4,8,7] ; [9,8,4,1,7] ; [7,8,4,1,9] ; [8,7,4,1,9] ; [1,7,4,8,9] ; [7,1,4,8,9] ; [4,1,7,8,9] ; [1,4,7,8,9] |
base_conversion | base_conversion:decomposition | n=235,base=16 | TERM:14*16^1=224 ; TERM:11*16^0=11 ; OUT:EB |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=32 | 4x-4=32 ; x+-1=8 ; x=8--1 ; x=9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 9, 4, 1 | [2,8,4,9,1] ; [2,8,4,1,9] ; [2,4,8,1,9] ; [2,4,1,8,9] ; [2,1,4,8,9] ; [1,2,4,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-144 | 9x-72=-144 ; x=(-144--72)/9 ; x=-72/9 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 911+420 | d2:1+0+0=1→w1,c0 ; d1:1+2+0=3→w3,c0 ; d0:9+4+0=13→w3,c1 ; sum=1331 |
multidigit_addition | multidigit_addition:left-to-right-partials | 356+544 | p100:300+500=800 ; p10:50+40=90 ; p1:6+4=10 ; sum=800+90+10=900 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-65 | 5x-30=-65 ; x=(-65--30)/5 ; x=-35/5 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 2, 6, 1, 8 | [0,2,6,1,8] ; [0,1,6,2,8] ; [0,1,2,6,8] ; [0,1,2,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,4) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 799+859 | d2:9+9+0=18→w8,c1 ; d1:9+5+1=15→w5,c1 ; d0:7+8+1=16→w6,c1 ; sum=1658 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-6=-36 | 6x-6=-36 ; x=(-36--6)/6 ; x=-30/6 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(1,5) | D:(1,4) ; R:(1,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=80 | 5x+45=80 ; x+9=16 ; x=16-9 ; x=7 |
base_conversion | base_conversion:via-binary | n=125,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1111101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 1, 8, 2, 9 | [1,5,8,2,9] ; [1,5,8,2,9] ; [1,2,5,8,9] ; [1,2,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-7=14 | 7x-7=14 ; x=(14--7)/7 ; x=21/7 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 760+913 | d2:0+3+0=3→w3,c0 ; d1:6+1+0=7→w7,c0 ; d0:7+9+0=16→w6,c1 ; sum=1673 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 8, 7, 1 | [0,6,8,7,1] ; [0,6,7,8,1] ; [0,6,7,1,8] ; [0,6,1,7,8] ; [0,1,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=72 | 9x+54=72 ; 9x=18 ; x=2 |
list_summation | list_summation:right-to-left | 2, 5, 1, 7 | 1+7=8 ; 5+8=13 ; 2+13=15 |
list_summation | list_summation:pairwise | 5, 5, 4, 3 | 5+5=10 ; 4+3=7 ; 10+7=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 325+696 | p100:300+600=900 ; p10:20+90=110 ; p1:5+6=11 ; sum=900+110+11=1021 |
base_conversion | base_conversion:via-binary | n=121,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:9 ; OUT:79 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 4, 5, 3, 8 | [4,9,5,3,8] ; [4,5,9,3,8] ; [3,4,5,9,8] ; [3,4,5,8,9] |
base_conversion | base_conversion:via-binary | n=208,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11010000 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=81 | 9x+36=81 ; x=(81-36)/9 ; x=45/9 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+14=28 | 7x+14=28 ; x+2=4 ; x=4-2 ; x=2 |
base_conversion | base_conversion:via-binary | n=86,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:6 ; OUT:56 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=42 | 7x+42=42 ; x+6=6 ; x=6-6 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+4=-4 | 2x+4=-4 ; 2x=-8 ; x=-4 |
list_summation | list_summation:right-to-left | 6, 2, 7, 9 | 7+9=16 ; 2+16=18 ; 6+18=24 |
base_conversion | base_conversion:decomposition | n=246,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:3312 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 9, 0, 2 | [6,8,9,0,2] ; [6,8,0,9,2] ; [6,8,0,2,9] ; [6,0,8,2,9] ; [6,0,2,8,9] ; [0,6,2,8,9] ; [0,2,6,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(3,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 1, 9, 5 | [3,9,1,2,5] ; [9,3,1,2,5] ; [9,5,1,2,3] ; [3,5,1,2,9] ; [5,3,1,2,9] ; [2,3,1,5,9] ; [3,2,1,5,9] ; [1,2,3,5,9] ; [2,1,3,5,9] ; [1,2,3,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=12 | 3x-15=12 ; x+-5=4 ; x=4--5 ; x=9 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 1, 6, 8 | [1,7,4,6,8] ; [1,4,7,6,8] ; [1,4,6,7,8] ; [1,4,6,7,8] |
list_summation | list_summation:right-to-left | 4, 4, 2, 0 | 2+0=2 ; 4+2=6 ; 4+6=10 |
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=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:via-binary | n=255,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:15 ; OUT:FF |
list_summation | list_summation:right-to-left | 0, 9, 7, 7 | 7+7=14 ; 9+14=23 ; 0+23=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,2) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+12=-20 | 4x+12=-20 ; 4x=-32 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-4=0 | 2x-4=0 ; x=(0--4)/2 ; x=4/2 ; x=2 |
list_summation | list_summation:pairwise | 1, 3, 3, 5 | 1+3=4 ; 3+5=8 ; 4+8=12 |
list_summation | list_summation:left-to-right | 0, 4, 4, 8 | 0+4=4 ; 4+4=8 ; 8+8=16 |
multidigit_addition | multidigit_addition:left-to-right-partials | 648+314 | p100:600+300=900 ; p10:40+10=50 ; p1:8+4=12 ; sum=900+50+12=962 |
list_summation | list_summation:right-to-left | 2, 3, 9, 7 | 9+7=16 ; 3+16=19 ; 2+19=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 606+441 | round:610+441=1051 ; adjust:1051-4=1047 ; sum=1047 |
base_conversion | base_conversion:via-binary | n=174,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:14 ; OUT:AE |
base_conversion | base_conversion:via-binary | n=36,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:210 |
base_conversion | base_conversion:via-binary | n=63,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:15 ; OUT:3F |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=2 | 2x+8=2 ; x=(2-8)/2 ; x=-6/2 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 4, 6, 1 | [0,3,4,6,1] ; [0,3,4,6,1] ; [0,3,4,6,1] ; [0,1,3,4,6] |
base_conversion | base_conversion:via-binary | n=118,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:166 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=20 | 5x+20=20 ; x+4=4 ; x=4-4 ; x=0 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 6, 5, 0 | [3,9,6,5,0] ; [3,6,9,5,0] ; [3,6,5,9,0] ; [3,6,5,0,9] ; [3,5,6,0,9] ; [3,5,0,6,9] ; [3,0,5,6,9] ; [0,3,5,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
base_conversion | base_conversion:decomposition | n=110,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:6*8^0=6 ; OUT:156 |
list_summation | list_summation:right-to-left | 6, 4, 3, 1 | 3+1=4 ; 4+4=8 ; 6+8=14 |
base_conversion | base_conversion:via-binary | n=228,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11100100 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-24=-36 | 6x-24=-36 ; x+-4=-6 ; x=-6--4 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=-16 | 4x+16=-16 ; 4x=-32 ; x=-8 |
list_summation | list_summation:right-to-left | 9, 8, 7, 5 | 7+5=12 ; 8+12=20 ; 9+20=29 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=-49 | 7x-7=-49 ; 7x=-42 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-63=-56 | 7x-63=-56 ; x=(-56--63)/7 ; x=7/7 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=7 | 7x+7=7 ; x=(7-7)/7 ; x=0/7 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 3, 4, 0 | [1,3,5,4,0] ; [1,3,4,5,0] ; [1,3,4,0,5] ; [1,3,0,4,5] ; [1,0,3,4,5] ; [0,1,3,4,5] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 3, 8, 9, 4 | [0,9,8,3,4] ; [9,0,8,3,4] ; [9,4,8,3,0] ; [0,4,8,3,9] ; [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] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=-12 | 3x-12=-12 ; x+-4=-4 ; x=-4--4 ; x=0 |
base_conversion | base_conversion:via-binary | n=69,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1000101 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 5, 9, 1 | [2,3,5,9,1] ; [1,2,3,5,9] |
list_summation | list_summation:pairwise | 0, 4, 8, 7 | 0+4=4 ; 8+7=15 ; 4+15=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 6, 8, 0 | [1,2,6,8,0] ; [1,2,6,0,8] ; [1,2,0,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-6 | 3x-21=-6 ; 3x=15 ; x=5 |
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