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=15,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:7 ; OUT:17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 9, 2, 6, 3 | [1,9,2,6,3] ; [1,2,9,6,3] ; [1,2,3,6,9] ; [1,2,3,6,9] |
base_conversion | base_conversion:decomposition | n=111,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1233 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=0 | 3x+21=0 ; x+7=0 ; x=0-7 ; x=-7 |
list_summation | list_summation:pairwise | 7, 6, 5, 7 | 7+6=13 ; 5+7=12 ; 13+12=25 |
base_conversion | base_conversion:decomposition | n=246,base=16 | TERM:15*16^1=240 ; TERM:6*16^0=6 ; OUT:F6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-55 | 5x-40=-55 ; x+-8=-11 ; x=-11--8 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=27,base=16 | DIV:27/16=1,r:11 ; DIV:1/16=0,r:1 ; OUT:1B |
list_summation | list_summation:left-to-right | 1, 1, 1, 2 | 1+1=2 ; 2+1=3 ; 3+2=5 |
base_conversion | base_conversion:repeated-division | n=65,base=16 | DIV:65/16=4,r:1 ; DIV:4/16=0,r:4 ; OUT:41 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(3,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:via-binary | n=255,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:3333 |
base_conversion | base_conversion:decomposition | n=55,base=2 | 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:110111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=-60 | 6x-30=-60 ; x=(-60--30)/6 ; x=-30/6 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-42 | 7x-42=-42 ; x+-6=-6 ; x=-6--6 ; x=0 |
base_conversion | base_conversion:repeated-division | n=54,base=16 | DIV:54/16=3,r:6 ; DIV:3/16=0,r:3 ; OUT:36 |
multidigit_addition | multidigit_addition:rounding-decomposition | 213+785 | round:220+785=1005 ; adjust:1005-7=998 ; sum=998 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 9, 1, 4 | [5,6,1,9,4] ; [1,5,6,9,4] ; [1,4,5,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 8, 9, 6, 0 | [9,8,7,6,0] ; [0,8,7,6,9] ; [8,0,7,6,9] ; [8,6,7,0,9] ; [0,6,7,8,9] ; [7,6,0,8,9] ; [0,6,7,8,9] ; [6,0,7,8,9] ; [0,6,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 831+260 | d2:1+0+0=1→w1,c0 ; d1:3+6+0=9→w9,c0 ; d0:8+2+0=10→w0,c1 ; sum=1091 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=32 | 8x+32=32 ; x=(32-32)/8 ; x=0/8 ; x=0 |
list_summation | list_summation:left-to-right | 7, 2, 6, 8 | 7+2=9 ; 9+6=15 ; 15+8=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 5, 4, 0, 9 | [5,8,4,0,9] ; [5,4,8,0,9] ; [5,4,0,8,9] ; [4,5,0,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=28 | 4x-4=28 ; 4x=32 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 197+246 | round:200+246=446 ; adjust:446-3=443 ; sum=443 |
multidigit_addition | multidigit_addition:rounding-decomposition | 717+508 | round:720+508=1228 ; adjust:1228-3=1225 ; sum=1225 |
list_summation | list_summation:left-to-right | 8, 5, 6, 3 | 8+5=13 ; 13+6=19 ; 19+3=22 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 3, 2, 5, 9 | [4,9,2,5,3] ; [9,4,2,5,3] ; [9,5,2,4,3] ; [3,5,2,4,9] ; [5,3,2,4,9] ; [5,4,2,3,9] ; [3,4,2,5,9] ; [4,3,2,5,9] ; [2,3,4,5,9] ; [3,2,4,5,9] ; [2,3,4,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 137+406 | d2:7+6+0=13→w3,c1 ; d1:3+0+1=4→w4,c0 ; d0:1+4+0=5→w5,c0 ; sum=543 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 0, 7, 3, 8 | [1,8,7,3,0] ; [8,1,7,3,0] ; [8,3,7,1,0] ; [0,3,7,1,8] ; [7,3,0,1,8] ; [1,3,0,7,8] ; [3,1,0,7,8] ; [0,1,3,7,8] ; [1,0,3,7,8] ; [0,1,3,7,8] |
list_summation | list_summation:left-to-right | 2, 2, 7, 4 | 2+2=4 ; 4+7=11 ; 11+4=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 103+419 | p100:100+400=500 ; p10:0+10=10 ; p1:3+9=12 ; sum=500+10+12=522 |
base_conversion | base_conversion:repeated-division | n=74,base=16 | DIV:74/16=4,r:10 ; DIV:4/16=0,r:4 ; OUT:4A |
base_conversion | base_conversion:decomposition | n=245,base=16 | TERM:15*16^1=240 ; TERM:5*16^0=5 ; OUT:F5 |
base_conversion | base_conversion:repeated-division | n=102,base=8 | DIV:102/8=12,r:6 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:146 |
base_conversion | base_conversion:repeated-division | n=66,base=4 | DIV:66/4=16,r:2 ; DIV:16/4=4,r:0 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1002 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-25=15 | 5x-25=15 ; x+-5=3 ; x=3--5 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-84 | 6x-30=-84 ; 6x=-54 ; x=-9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,2) | R:(1,1) ; R:(1,2) ; D:(2,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 1, 2, 0, 7 | [0,1,2,9,7] ; [0,1,2,9,7] ; [0,1,2,9,7] ; [0,1,2,7,9] |
list_summation | list_summation:pairwise | 5, 5, 5, 1 | 5+5=10 ; 5+1=6 ; 10+6=16 |
list_summation | list_summation:left-to-right | 5, 0, 3, 9 | 5+0=5 ; 5+3=8 ; 8+9=17 |
list_summation | list_summation:right-to-left | 0, 4, 9, 6 | 9+6=15 ; 4+15=19 ; 0+19=19 |
base_conversion | base_conversion:decomposition | n=47,base=16 | TERM:2*16^1=32 ; TERM:15*16^0=15 ; OUT:2F |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=8 | 4x+32=8 ; x=(8-32)/4 ; x=-24/4 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+27=27 | 3x+27=27 ; 3x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=91 | 7x+28=91 ; x=(91-28)/7 ; x=63/7 ; x=9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 0, 2, 7 | [1,9,0,2,7] ; [0,1,9,2,7] ; [0,1,2,9,7] ; [0,1,2,7,9] |
list_summation | list_summation:right-to-left | 5, 6, 4, 8 | 4+8=12 ; 6+12=18 ; 5+18=23 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 3, 7, 0 | [1,7,3,4,0] ; [7,1,3,4,0] ; [7,4,3,1,0] ; [0,4,3,1,7] ; [4,0,3,1,7] ; [4,1,3,0,7] ; [0,1,3,4,7] ; [3,1,0,4,7] ; [0,1,3,4,7] ; [1,0,3,4,7] ; [0,1,3,4,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=-15 | 3x+9=-15 ; 3x=-24 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,3) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 3, 7, 2 | [1,4,3,7,2] ; [1,3,4,7,2] ; [1,3,4,2,7] ; [1,3,2,4,7] ; [1,2,3,4,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 8, 3, 8, 2 | 8+2=10 ; 3+10=13 ; 8+13=21 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 8, 6, 5 | [7,6,8,0,5] ; [8,6,7,0,5] ; [5,6,7,0,8] ; [7,6,5,0,8] ; [0,6,5,7,8] ; [6,0,5,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=-27 | 9x-18=-27 ; 9x=-9 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 2, 4, 1 | [3,7,2,4,1] ; [2,3,7,4,1] ; [2,3,4,7,1] ; [1,2,3,4,7] |
base_conversion | base_conversion:via-binary | n=100,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1210 |
base_conversion | base_conversion:decomposition | n=93,base=16 | TERM:5*16^1=80 ; TERM:13*16^0=13 ; OUT:5D |
list_summation | list_summation:right-to-left | 4, 2, 8, 9 | 8+9=17 ; 2+17=19 ; 4+19=23 |
base_conversion | base_conversion:decomposition | n=184,base=16 | TERM:11*16^1=176 ; TERM:8*16^0=8 ; OUT:B8 |
list_summation | list_summation:left-to-right | 6, 6, 0, 3 | 6+6=12 ; 12+0=12 ; 12+3=15 |
list_summation | list_summation:right-to-left | 8, 4, 4, 3 | 4+3=7 ; 4+7=11 ; 8+11=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 3, 1, 8 | [5,7,3,1,8] ; [5,7,1,3,8] ; [1,3,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 0, 4, 8, 1 | [0,5,4,8,1] ; [0,4,5,8,1] ; [0,1,4,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-12 | 6x+12=-12 ; x+2=-2 ; x=-2-2 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 451+831 | p100:400+800=1200 ; p10:50+30=80 ; p1:1+1=2 ; sum=1200+80+2=1282 |
multidigit_addition | multidigit_addition:left-to-right-partials | 726+765 | p100:700+700=1400 ; p10:20+60=80 ; p1:6+5=11 ; sum=1400+80+11=1491 |
multidigit_addition | multidigit_addition:rounding-decomposition | 961+910 | round:970+910=1880 ; adjust:1880-9=1871 ; sum=1871 |
base_conversion | base_conversion:decomposition | n=159,base=16 | TERM:9*16^1=144 ; TERM:15*16^0=15 ; OUT:9F |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 1, 6, 8 | [2,5,1,6,8] ; [1,2,5,6,8] ; [1,2,5,6,8] ; [1,2,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=-32 | 2x-14=-32 ; x=(-32--14)/2 ; x=-18/2 ; x=-9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 6, 5, 0 | [3,6,8,5,0] ; [3,6,5,8,0] ; [3,6,5,0,8] ; [3,5,6,0,8] ; [3,5,0,6,8] ; [3,0,5,6,8] ; [0,3,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-24=-51 | 3x-24=-51 ; 3x=-27 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=-64 | 8x-8=-64 ; x=(-64--8)/8 ; x=-56/8 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=20 | 5x+25=20 ; x=(20-25)/5 ; x=-5/5 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 2, 4, 3 | [0,2,6,4,3] ; [0,2,4,6,3] ; [0,2,4,3,6] ; [0,2,3,4,6] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-8 | 2x-18=-8 ; 2x=10 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,2) | R:(0,2) ; D:(1,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 960+579 | p100:900+500=1400 ; p10:60+70=130 ; p1:0+9=9 ; sum=1400+130+9=1539 |
list_summation | list_summation:pairwise | 7, 9, 0, 2 | 7+9=16 ; 0+2=2 ; 16+2=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 597+804 | round:600+804=1404 ; adjust:1404-3=1401 ; sum=1401 |
list_summation | list_summation:left-to-right | 0, 4, 3, 9 | 0+4=4 ; 4+3=7 ; 7+9=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=15 | 5x+30=15 ; x+6=3 ; x=3-6 ; x=-3 |
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:merge-sort | 2, 0, 4, 7, 6 | [0,2,4,7,6] ; [0,2,4,6,7] |
base_conversion | base_conversion:repeated-division | n=139,base=16 | DIV:139/16=8,r:11 ; DIV:8/16=0,r:8 ; OUT:8B |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 0, 7, 6, 9 | [0,1,7,6,9] ; [0,1,7,6,9] ; [0,1,6,7,9] ; [0,1,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 990+658 | p100:900+600=1500 ; p10:90+50=140 ; p1:0+8=8 ; sum=1500+140+8=1648 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 0, 8, 4, 6 | 0+8=8 ; 8+4=12 ; 12+6=18 |
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