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=122,base=2 | 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:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1111010 |
base_conversion | base_conversion:via-binary | n=130,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:2002 |
multidigit_addition | multidigit_addition:left-to-right-partials | 896+168 | p100:800+100=900 ; p10:90+60=150 ; p1:6+8=14 ; sum=900+150+14=1064 |
base_conversion | base_conversion:repeated-division | n=101,base=2 | DIV:101/2=50,r:1 ; DIV:50/2=25,r:0 ; 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:1100101 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 3, 2, 9, 5 | [1,3,2,9,5] ; [1,2,3,9,5] ; [1,2,3,9,5] ; [1,2,3,5,9] |
base_conversion | base_conversion:repeated-division | n=30,base=8 | DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:36 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=4 | 2x+0=4 ; x=(4-0)/2 ; x=4/2 ; x=2 |
base_conversion | base_conversion:repeated-division | n=205,base=4 | DIV:205/4=51,r:1 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3031 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 7, 9, 6, 1 | 6+1=7 ; 9+7=16 ; 7+16=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=0 | 5x+45=0 ; 5x=-45 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=40 | 5x+25=40 ; 5x=15 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=24 | 6x+48=24 ; x+8=4 ; x=4-8 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 577+733 | d2:7+3+0=10→w0,c1 ; d1:7+3+1=11→w1,c1 ; d0:5+7+1=13→w3,c1 ; sum=1310 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,5) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 1, 0, 2, 6 | [3,6,0,2,1] ; [6,3,0,2,1] ; [1,3,0,2,6] ; [3,1,0,2,6] ; [3,2,0,1,6] ; [1,2,0,3,6] ; [2,1,0,3,6] ; [0,1,2,3,6] ; [1,0,2,3,6] ; [0,1,2,3,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-56 | 4x-32=-56 ; 4x=-24 ; x=-6 |
list_summation | list_summation:left-to-right | 8, 9, 7, 7 | 8+9=17 ; 17+7=24 ; 24+7=31 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=24 | 2x+18=24 ; 2x=6 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 715+943 | d2:5+3+0=8→w8,c0 ; d1:1+4+0=5→w5,c0 ; d0:7+9+0=16→w6,c1 ; sum=1658 |
list_summation | list_summation:left-to-right | 6, 8, 5, 7 | 6+8=14 ; 14+5=19 ; 19+7=26 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 3, 5, 8 | [0,3,9,5,8] ; [0,3,5,9,8] ; [0,3,5,8,9] |
list_summation | list_summation:pairwise | 2, 1, 2, 0 | 2+1=3 ; 2+0=2 ; 3+2=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 249+217 | round:250+217=467 ; adjust:467-1=466 ; sum=466 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-63=-28 | 7x-63=-28 ; 7x=35 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 892+739 | round:900+739=1639 ; adjust:1639-8=1631 ; sum=1631 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 1, 2, 1, 8 | 1+8=9 ; 2+9=11 ; 1+11=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 553+953 | p100:500+900=1400 ; p10:50+50=100 ; p1:3+3=6 ; sum=1400+100+6=1506 |
list_summation | list_summation:left-to-right | 6, 3, 9, 6 | 6+3=9 ; 9+9=18 ; 18+6=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 754+954 | round:760+954=1714 ; adjust:1714-6=1708 ; sum=1708 |
list_summation | list_summation:pairwise | 1, 9, 6, 8 | 1+9=10 ; 6+8=14 ; 10+14=24 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 9, 1, 2 | [7,2,9,1,0] ; [9,2,7,1,0] ; [0,2,7,1,9] ; [7,2,0,1,9] ; [1,2,0,7,9] ; [2,1,0,7,9] ; [0,1,2,7,9] ; [1,0,2,7,9] ; [0,1,2,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 562+598 | d2:2+8+0=10→w0,c1 ; d1:6+9+1=16→w6,c1 ; d0:5+5+1=11→w1,c1 ; sum=1160 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 8, 1, 0, 5 | [3,8,1,0,5] ; [1,3,8,0,5] ; [0,1,3,8,5] ; [0,1,3,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 131+718 | round:140+718=858 ; adjust:858-9=849 ; sum=849 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 4, 9, 7 | [3,5,4,9,7] ; [3,4,5,9,7] ; [3,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=24,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11000 |
base_conversion | base_conversion:decomposition | n=92,base=16 | TERM:5*16^1=80 ; TERM:12*16^0=12 ; OUT:5C |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(1,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; R:(1,4) |
list_summation | list_summation:left-to-right | 6, 4, 3, 9 | 6+4=10 ; 10+3=13 ; 13+9=22 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 0, 4, 1 | [0,5,8,4,1] ; [0,1,8,4,5] ; [0,1,4,8,5] ; [0,1,4,5,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 6, 8, 9 | [0,2,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 979+409 | d2:9+9+0=18→w8,c1 ; d1:7+0+1=8→w8,c0 ; d0:9+4+0=13→w3,c1 ; sum=1388 |
list_summation | list_summation:right-to-left | 0, 6, 8, 9 | 8+9=17 ; 6+17=23 ; 0+23=23 |
list_summation | list_summation:pairwise | 5, 6, 9, 3 | 5+6=11 ; 9+3=12 ; 11+12=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 827+485 | d2:7+5+0=12→w2,c1 ; d1:2+8+1=11→w1,c1 ; d0:8+4+1=13→w3,c1 ; sum=1312 |
base_conversion | base_conversion:repeated-division | n=19,base=4 | DIV:19/4=4,r:3 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:103 |
multidigit_addition | multidigit_addition:left-to-right-partials | 925+501 | p100:900+500=1400 ; p10:20+0=20 ; p1:5+1=6 ; sum=1400+20+6=1426 |
base_conversion | base_conversion:repeated-division | n=53,base=4 | DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:311 |
list_summation | list_summation:pairwise | 6, 1, 7, 4 | 6+1=7 ; 7+4=11 ; 7+11=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 486+404 | round:490+404=894 ; adjust:894-4=890 ; sum=890 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 7, 9, 3, 3 | 7+9=16 ; 3+3=6 ; 16+6=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,4) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+36=24 | 6x+36=24 ; x=(24-36)/6 ; x=-12/6 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=40,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:101000 |
list_summation | list_summation:left-to-right | 1, 2, 5, 1 | 1+2=3 ; 3+5=8 ; 8+1=9 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=-42 | 6x-18=-42 ; x=(-42--18)/6 ; x=-24/6 ; x=-4 |
base_conversion | base_conversion:decomposition | n=209,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11010001 |
list_summation | list_summation:pairwise | 0, 7, 8, 4 | 0+7=7 ; 8+4=12 ; 7+12=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 376+188 | round:380+188=568 ; adjust:568-4=564 ; sum=564 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=32 | 4x+8=32 ; 4x=24 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=227,base=16 | TERM:14*16^1=224 ; TERM:3*16^0=3 ; OUT:E3 |
list_summation | list_summation:right-to-left | 9, 2, 2, 3 | 2+3=5 ; 2+5=7 ; 9+7=16 |
list_summation | list_summation:right-to-left | 4, 7, 7, 7 | 7+7=14 ; 7+14=21 ; 4+21=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 912+718 | p100:900+700=1600 ; p10:10+10=20 ; p1:2+8=10 ; sum=1600+20+10=1630 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 7, 6, 1, 8 | [1,7,6,5,8] ; [1,5,6,7,8] ; [1,5,6,7,8] ; [1,5,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-42 | 3x-21=-42 ; x=(-42--21)/3 ; x=-21/3 ; x=-7 |
list_summation | list_summation:left-to-right | 6, 0, 0, 1 | 6+0=6 ; 6+0=6 ; 6+1=7 |
base_conversion | base_conversion:via-binary | n=95,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:15 ; OUT:5F |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+4=-2 | 2x+4=-2 ; 2x=-6 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 833+740 | d2:3+0+0=3→w3,c0 ; d1:3+4+0=7→w7,c0 ; d0:8+7+0=15→w5,c1 ; sum=1573 |
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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 0, 1, 6 | [3,9,0,1,6] ; [0,3,9,1,6] ; [0,1,3,9,6] ; [0,1,3,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 9, 7, 3 | [2,8,7,9,3] ; [2,8,7,3,9] ; [2,7,8,3,9] ; [2,7,3,8,9] ; [2,3,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=16 | 8x+16=16 ; 8x=0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 322+967 | p100:300+900=1200 ; p10:20+60=80 ; p1:2+7=9 ; sum=1200+80+9=1289 |
base_conversion | base_conversion:repeated-division | n=184,base=8 | DIV:184/8=23,r:0 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:270 |
multidigit_addition | multidigit_addition:left-to-right-partials | 841+120 | p100:800+100=900 ; p10:40+20=60 ; p1:1+0=1 ; sum=900+60+1=961 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 6, 3, 0, 5 | [2,6,3,0,5] ; [2,3,6,0,5] ; [0,2,3,6,5] ; [0,2,3,5,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=136,base=16 | DIV:136/16=8,r:8 ; DIV:8/16=0,r:8 ; OUT:88 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 3, 3, 4, 3 | 3+3=6 ; 6+4=10 ; 10+3=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-45 | 3x-27=-45 ; 3x=-18 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-32 | 4x-28=-32 ; 4x=-4 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 6, 5, 8 | [4,7,6,5,8] ; [4,6,7,5,8] ; [4,6,5,7,8] ; [4,5,6,7,8] |
base_conversion | base_conversion:repeated-division | n=38,base=8 | DIV:38/8=4,r:6 ; DIV:4/8=0,r:4 ; OUT:46 |
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