task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 8, 5, 6, 8 | 8+5=13 ; 13+6=19 ; 19+8=27 |
list_summation | list_summation:pairwise | 1, 9, 3, 7 | 1+9=10 ; 3+7=10 ; 10+10=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 7, 4, 0, 3 | 0+3=3 ; 4+3=7 ; 7+7=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,4) | R:(1,4) ; D:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 254+206 | round:260+206=466 ; adjust:466-6=460 ; sum=460 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 0, 1, 3, 6 | 0+1=1 ; 3+6=9 ; 1+9=10 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-18=-45 | 3x-18=-45 ; x=(-45--18)/3 ; x=-27/3 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+6=-9 | 3x+6=-9 ; x=(-9-6)/3 ; x=-15/3 ; x=-5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-56 | 7x-35=-56 ; 7x=-21 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 540+230 | p100:500+200=700 ; p10:40+30=70 ; p1:0+0=0 ; sum=700+70+0=770 |
list_summation | list_summation:left-to-right | 2, 7, 8, 8 | 2+7=9 ; 9+8=17 ; 17+8=25 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=72 | 6x+48=72 ; x=(72-48)/6 ; x=24/6 ; x=4 |
base_conversion | base_conversion:decomposition | n=105,base=16 | TERM:6*16^1=96 ; TERM:9*16^0=9 ; OUT:69 |
multidigit_addition | multidigit_addition:left-to-right-partials | 602+391 | p100:600+300=900 ; p10:0+90=90 ; p1:2+1=3 ; sum=900+90+3=993 |
list_summation | list_summation:pairwise | 3, 8, 9, 5 | 3+8=11 ; 9+5=14 ; 11+14=25 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 950+686 | d2:0+6+0=6→w6,c0 ; d1:5+8+0=13→w3,c1 ; d0:9+6+1=16→w6,c1 ; sum=1636 |
list_summation | list_summation:left-to-right | 3, 2, 9, 4 | 3+2=5 ; 5+9=14 ; 14+4=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,5) | D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-12 | 2x-10=-12 ; x=(-12--10)/2 ; x=-2/2 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-42=-78 | 6x-42=-78 ; 6x=-36 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 1, 2, 0 | [5,1,7,2,0] ; [5,1,2,7,0] ; [5,1,2,0,7] ; [1,5,2,0,7] ; [1,2,5,0,7] ; [1,2,0,5,7] ; [1,0,2,5,7] ; [0,1,2,5,7] |
list_summation | list_summation:left-to-right | 9, 0, 2, 3 | 9+0=9 ; 9+2=11 ; 11+3=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 503+119 | round:510+119=629 ; adjust:629-7=622 ; sum=622 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 8, 0, 1 | [7,9,8,0,1] ; [7,9,0,8,1] ; [0,7,8,9,1] ; [0,1,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=18 | 3x+9=18 ; x+3=6 ; x=6-3 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 6, 5, 1, 7 | 6+5=11 ; 1+7=8 ; 11+8=19 |
base_conversion | base_conversion:via-binary | n=193,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11000001 |
base_conversion | base_conversion:via-binary | n=250,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:10 ; OUT:FA |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 3, 9, 6, 5 | [0,3,9,6,5] ; [0,3,9,6,5] ; [0,3,5,6,9] ; [0,3,5,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 3, 9, 4 | [2,9,3,8,4] ; [9,2,3,8,4] ; [9,8,3,2,4] ; [4,8,3,2,9] ; [8,4,3,2,9] ; [2,4,3,8,9] ; [4,2,3,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+12=-15 | 3x+12=-15 ; x+4=-5 ; x=-5-4 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 801+592 | p100:800+500=1300 ; p10:0+90=90 ; p1:1+2=3 ; sum=1300+90+3=1393 |
multidigit_addition | multidigit_addition:left-to-right-partials | 574+998 | p100:500+900=1400 ; p10:70+90=160 ; p1:4+8=12 ; sum=1400+160+12=1572 |
multidigit_addition | multidigit_addition:right-to-left-carry | 132+186 | d2:2+6+0=8→w8,c0 ; d1:3+8+0=11→w1,c1 ; d0:1+1+1=3→w3,c0 ; sum=318 |
base_conversion | base_conversion:repeated-division | n=169,base=4 | DIV:169/4=42,r:1 ; DIV:42/4=10,r:2 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2221 |
list_summation | list_summation:right-to-left | 4, 8, 6, 4 | 6+4=10 ; 8+10=18 ; 4+18=22 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 4, 3, 7 | [0,2,4,3,7] ; [0,2,4,3,7] ; [0,2,3,4,7] ; [0,2,3,4,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+30=25 | 5x+30=25 ; 5x=-5 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 1, 5, 7, 8 | [1,6,5,7,8] ; [1,5,6,7,8] |
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=13,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:5 ; OUT:15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 726+634 | p100:700+600=1300 ; p10:20+30=50 ; p1:6+4=10 ; sum=1300+50+10=1360 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 3, 4, 0 | [6,5,3,4,0] ; [0,5,3,4,6] ; [5,0,3,4,6] ; [5,4,3,0,6] ; [0,4,3,5,6] ; [4,0,3,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 2, 8, 3 | [5,9,2,8,3] ; [2,5,9,8,3] ; [2,5,8,9,3] ; [2,3,5,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+18=36 | 9x+18=36 ; x+2=4 ; x=4-2 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(2,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; R:(1,5) ; D:(2,5) |
list_summation | list_summation:left-to-right | 6, 5, 1, 7 | 6+5=11 ; 11+1=12 ; 12+7=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 612+805 | p100:600+800=1400 ; p10:10+0=10 ; p1:2+5=7 ; sum=1400+10+7=1417 |
multidigit_addition | multidigit_addition:right-to-left-carry | 129+664 | d2:9+4+0=13→w3,c1 ; d1:2+6+1=9→w9,c0 ; d0:1+6+0=7→w7,c0 ; sum=793 |
list_summation | list_summation:right-to-left | 2, 0, 2, 2 | 2+2=4 ; 0+4=4 ; 2+4=6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 5, 2, 7 | [1,8,5,2,7] ; [1,5,8,2,7] ; [1,2,5,8,7] ; [1,2,5,7,8] |
base_conversion | base_conversion:repeated-division | n=44,base=8 | DIV:44/8=5,r:4 ; DIV:5/8=0,r:5 ; OUT:54 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
base_conversion | base_conversion:repeated-division | n=10,base=8 | DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:12 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 1, 3, 0 | [0,9,1,3,4] ; [0,1,9,3,4] ; [0,1,3,9,4] ; [0,1,3,4,9] |
list_summation | list_summation:right-to-left | 2, 1, 9, 6 | 9+6=15 ; 1+15=16 ; 2+16=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 5, 1, 6, 7 | [0,5,1,6,7] ; [0,1,5,6,7] ; [0,1,5,6,7] ; [0,1,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=4 | 4x+36=4 ; 4x=-32 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=0 | 3x-27=0 ; x+-9=0 ; x=0--9 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=-8 | 8x+56=-8 ; 8x=-64 ; x=-8 |
list_summation | list_summation:left-to-right | 6, 8, 0, 8 | 6+8=14 ; 14+0=14 ; 14+8=22 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 7, 3, 9 | [6,9,7,3,4] ; [9,6,7,3,4] ; [4,6,7,3,9] ; [7,6,4,3,9] ; [3,6,4,7,9] ; [6,3,4,7,9] ; [4,3,6,7,9] ; [3,4,6,7,9] |
list_summation | list_summation:pairwise | 2, 4, 2, 4 | 2+4=6 ; 2+4=6 ; 6+6=12 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 8, 5, 1 | [1,6,8,5,2] ; [1,2,8,5,6] ; [1,2,5,8,6] ; [1,2,5,6,8] |
base_conversion | base_conversion:decomposition | n=255,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:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11111111 |
base_conversion | base_conversion:via-binary | n=205,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:13 ; OUT:CD |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 9, 3, 5 | [0,6,9,3,5] ; [0,6,9,3,5] ; [0,3,6,9,5] ; [0,3,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 668+806 | round:670+806=1476 ; adjust:1476-2=1474 ; sum=1474 |
list_summation | list_summation:left-to-right | 0, 8, 4, 0 | 0+8=8 ; 8+4=12 ; 12+0=12 |
base_conversion | base_conversion:repeated-division | n=158,base=8 | DIV:158/8=19,r:6 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:236 |
multidigit_addition | multidigit_addition:right-to-left-carry | 156+510 | d2:6+0+0=6→w6,c0 ; d1:5+1+0=6→w6,c0 ; d0:1+5+0=6→w6,c0 ; sum=666 |
list_summation | list_summation:left-to-right | 8, 6, 2, 6 | 8+6=14 ; 14+2=16 ; 16+6=22 |
base_conversion | base_conversion:via-binary | n=235,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:3223 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 685+946 | p100:600+900=1500 ; p10:80+40=120 ; p1:5+6=11 ; sum=1500+120+11=1631 |
multidigit_addition | multidigit_addition:left-to-right-partials | 947+785 | p100:900+700=1600 ; p10:40+80=120 ; p1:7+5=12 ; sum=1600+120+12=1732 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-44 | 4x-36=-44 ; x=(-44--36)/4 ; x=-8/4 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=0 | 5x+45=0 ; x+9=0 ; x=0-9 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,3) | R:(0,3) ; D:(1,3) |
list_summation | list_summation:pairwise | 8, 6, 8, 7 | 8+6=14 ; 8+7=15 ; 14+15=29 |
base_conversion | base_conversion:via-binary | n=216,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11011000 |
base_conversion | base_conversion:decomposition | n=97,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1100001 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 6, 2, 1 | [0,8,6,2,1] ; [0,8,2,6,1] ; [0,2,6,8,1] ; [0,1,2,6,8] |
base_conversion | base_conversion:decomposition | n=116,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1110100 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=-21 | 7x+42=-21 ; x+6=-3 ; x=-3-6 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=-18 | 9x-45=-18 ; 9x=27 ; x=3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 5, 9, 8, 7 | [5,6,9,8,7] ; [5,6,9,8,7] ; [5,6,8,9,7] ; [5,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-24=-8 | 4x-24=-8 ; 4x=16 ; x=4 |
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 |
multidigit_addition | multidigit_addition:left-to-right-partials | 829+726 | p100:800+700=1500 ; p10:20+20=40 ; p1:9+6=15 ; sum=1500+40+15=1555 |
multidigit_addition | multidigit_addition:right-to-left-carry | 876+565 | d2:6+5+0=11→w1,c1 ; d1:7+6+1=14→w4,c1 ; d0:8+5+1=14→w4,c1 ; sum=1441 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(2,5) | D:(1,4) ; D:(2,4) ; R:(2,5) |
list_summation | list_summation:pairwise | 2, 4, 3, 7 | 2+4=6 ; 3+7=10 ; 6+10=16 |
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