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, 4, 6, 3 | 9+4=13 ; 6+3=9 ; 13+9=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 563+884 | round:570+884=1454 ; adjust:1454-7=1447 ; sum=1447 |
list_summation | list_summation:right-to-left | 3, 0, 7, 3 | 7+3=10 ; 0+10=10 ; 3+10=13 |
list_summation | list_summation:left-to-right | 8, 7, 4, 6 | 8+7=15 ; 15+4=19 ; 19+6=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=-24 | 8x+48=-24 ; x+6=-3 ; x=-3-6 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 112+824 | p100:100+800=900 ; p10:10+20=30 ; p1:2+4=6 ; sum=900+30+6=936 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-25=-65 | 5x-25=-65 ; 5x=-40 ; x=-8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=-54 | 9x-27=-54 ; x=(-54--27)/9 ; x=-27/9 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-33 | 3x-27=-33 ; x=(-33--27)/3 ; x=-6/3 ; x=-2 |
base_conversion | base_conversion:decomposition | n=153,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:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10011001 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 2, 0, 8, 0 | 2+0=2 ; 8+0=8 ; 2+8=10 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=60 | 5x+25=60 ; x+5=12 ; x=12-5 ; x=7 |
list_summation | list_summation:right-to-left | 0, 1, 4, 3 | 4+3=7 ; 1+7=8 ; 0+8=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,1) | D:(3,0) ; R:(3,1) |
base_conversion | base_conversion:decomposition | n=218,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:2*8^0=2 ; OUT:332 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | 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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=27 | 3x+9=27 ; x+3=9 ; x=9-3 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
list_summation | list_summation:left-to-right | 5, 5, 1, 6 | 5+5=10 ; 10+1=11 ; 11+6=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 5, 1, 7, 0 | [4,7,1,5,0] ; [7,4,1,5,0] ; [7,5,1,4,0] ; [0,5,1,4,7] ; [5,0,1,4,7] ; [5,4,1,0,7] ; [0,4,1,5,7] ; [4,0,1,5,7] ; [1,0,4,5,7] ; [0,1,4,5,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-36 | 6x-36=-36 ; 6x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=14 | 7x+63=14 ; x+9=2 ; x=2-9 ; x=-7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 183+496 | p100:100+400=500 ; p10:80+90=170 ; p1:3+6=9 ; sum=500+170+9=679 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 0, 7, 5 | [6,8,0,7,5] ; [0,6,7,8,5] ; [0,5,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=2 | 2x+6=2 ; x=(2-6)/2 ; x=-4/2 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
base_conversion | base_conversion:via-binary | n=174,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:14 ; OUT:AE |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:left-to-right | 5, 6, 0, 2 | 5+6=11 ; 11+0=11 ; 11+2=13 |
list_summation | list_summation:pairwise | 3, 4, 6, 0 | 3+4=7 ; 6+0=6 ; 7+6=13 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,2) | R:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:pairwise | 8, 4, 1, 6 | 8+4=12 ; 1+6=7 ; 12+7=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 127+142 | p100:100+100=200 ; p10:20+40=60 ; p1:7+2=9 ; sum=200+60+9=269 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-18 | 3x-27=-18 ; x+-9=-6 ; x=-6--9 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 951+835 | d2:1+5+0=6→w6,c0 ; d1:5+3+0=8→w8,c0 ; d0:9+8+0=17→w7,c1 ; sum=1786 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 9, 9, 3, 4 | 9+9=18 ; 18+3=21 ; 21+4=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 9, 1, 7, 8 | [9,2,1,7,8] ; [9,8,1,7,2] ; [2,8,1,7,9] ; [8,2,1,7,9] ; [8,7,1,2,9] ; [2,7,1,8,9] ; [7,2,1,8,9] ; [1,2,7,8,9] ; [2,1,7,8,9] ; [1,2,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 9, 2, 8, 0 | [9,4,2,8,0] ; [9,8,2,4,0] ; [0,8,2,4,9] ; [8,0,2,4,9] ; [8,4,2,0,9] ; [0,4,2,8,9] ; [4,0,2,8,9] ; [2,0,4,8,9] ; [0,2,4,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 2, 6, 1 | [5,2,9,6,1] ; [5,2,6,9,1] ; [5,2,6,1,9] ; [2,5,6,1,9] ; [2,5,1,6,9] ; [2,1,5,6,9] ; [1,2,5,6,9] |
base_conversion | base_conversion:repeated-division | n=75,base=4 | DIV:75/4=18,r:3 ; DIV:18/4=4,r:2 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1023 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+4=8 | 4x+4=8 ; x+1=2 ; x=2-1 ; x=1 |
base_conversion | base_conversion:via-binary | n=165,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10100101 |
list_summation | list_summation:left-to-right | 9, 8, 4, 8 | 9+8=17 ; 17+4=21 ; 21+8=29 |
base_conversion | base_conversion:via-binary | n=153,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10011001 |
list_summation | list_summation:left-to-right | 9, 0, 7, 8 | 9+0=9 ; 9+7=16 ; 16+8=24 |
base_conversion | base_conversion:via-binary | n=69,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:1011 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 4, 8, 6, 0 | [2,4,6,8,0] ; [2,4,6,0,8] ; [2,4,0,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8] |
base_conversion | base_conversion:via-binary | n=119,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1313 |
list_summation | list_summation:left-to-right | 9, 3, 3, 1 | 9+3=12 ; 12+3=15 ; 15+1=16 |
list_summation | list_summation:right-to-left | 1, 4, 0, 3 | 0+3=3 ; 4+3=7 ; 1+7=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 658+467 | p100:600+400=1000 ; p10:50+60=110 ; p1:8+7=15 ; sum=1000+110+15=1125 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 669+110 | p100:600+100=700 ; p10:60+10=70 ; p1:9+0=9 ; sum=700+70+9=779 |
multidigit_addition | multidigit_addition:left-to-right-partials | 246+302 | p100:200+300=500 ; p10:40+0=40 ; p1:6+2=8 ; sum=500+40+8=548 |
base_conversion | base_conversion:via-binary | n=194,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:2 ; OUT:C2 |
list_summation | list_summation:pairwise | 2, 1, 8, 5 | 2+1=3 ; 8+5=13 ; 3+13=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+14=12 | 2x+14=12 ; x+7=6 ; x=6-7 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 6, 3, 2, 1 | 6+3=9 ; 9+2=11 ; 11+1=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:decomposition | n=192,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:3000 |
base_conversion | base_conversion:repeated-division | n=247,base=16 | DIV:247/16=15,r:7 ; DIV:15/16=0,r:15 ; OUT:F7 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 9, 4, 1 | [6,7,9,4,1] ; [6,7,4,9,1] ; [4,6,7,9,1] ; [1,4,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=67,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:3 ; OUT:43 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=4 | 2x+14=4 ; 2x=-10 ; x=-5 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 8, 4, 0 | [0,9,8,4,2] ; [0,2,8,4,9] ; [0,2,4,8,9] ; [0,2,4,8,9] |
list_summation | list_summation:right-to-left | 5, 1, 7, 0 | 7+0=7 ; 1+7=8 ; 5+8=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+18=-18 | 9x+18=-18 ; x+2=-2 ; x=-2-2 ; x=-4 |
list_summation | list_summation:right-to-left | 6, 2, 9, 6 | 9+6=15 ; 2+15=17 ; 6+17=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=-45 | 9x-27=-45 ; x=(-45--27)/9 ; x=-18/9 ; x=-2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 719+527 | p100:700+500=1200 ; p10:10+20=30 ; p1:9+7=16 ; sum=1200+30+16=1246 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=56 | 4x+36=56 ; 4x=20 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 5, 3, 9, 7 | 9+7=16 ; 3+16=19 ; 5+19=24 |
list_summation | list_summation:pairwise | 8, 1, 8, 0 | 8+1=9 ; 8+0=8 ; 9+8=17 |
base_conversion | base_conversion:via-binary | n=230,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:6 ; OUT:E6 |
list_summation | list_summation:pairwise | 3, 6, 3, 4 | 3+6=9 ; 3+4=7 ; 9+7=16 |
base_conversion | base_conversion:decomposition | n=110,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1101110 |
base_conversion | base_conversion:via-binary | n=150,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:6 ; OUT:96 |
multidigit_addition | multidigit_addition:left-to-right-partials | 663+505 | p100:600+500=1100 ; p10:60+0=60 ; p1:3+5=8 ; sum=1100+60+8=1168 |
base_conversion | base_conversion:repeated-division | n=67,base=4 | DIV:67/4=16,r:3 ; DIV:16/4=4,r:0 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1003 |
base_conversion | base_conversion:via-binary | n=53,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:110101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+18=18 | 3x+18=18 ; 3x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 2, 3, 1 | [1,9,2,3,5] ; [1,2,9,3,5] ; [1,2,3,9,5] ; [1,2,3,5,9] |
list_summation | list_summation:pairwise | 3, 8, 5, 5 | 3+8=11 ; 5+5=10 ; 11+10=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 539+490 | d2:9+0+0=9→w9,c0 ; d1:3+9+0=12→w2,c1 ; d0:5+4+1=10→w0,c1 ; sum=1029 |
list_summation | list_summation:left-to-right | 6, 9, 8, 1 | 6+9=15 ; 15+8=23 ; 23+1=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+8=8 | 2x+8=8 ; x=(8-8)/2 ; x=0/2 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 2, 3, 0 | [0,4,2,3,6] ; [4,0,2,3,6] ; [4,3,2,0,6] ; [0,3,2,4,6] ; [3,0,2,4,6] ; [2,0,3,4,6] ; [0,2,3,4,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,2) | D:(1,0) ; R:(1,1) ; R:(1,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=14 | 7x-14=14 ; x=(14--14)/7 ; x=28/7 ; x=4 |
base_conversion | base_conversion:decomposition | n=249,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11111001 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 8, 4, 0 | [0,6,8,4,5] ; [0,4,8,6,5] ; [0,4,5,6,8] ; [0,4,5,6,8] |
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