task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=-63 | 7x-14=-63 ; 7x=-49 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 7, 0, 1 | [5,6,0,7,1] ; [0,5,6,7,1] ; [0,1,5,6,7] |
base_conversion | base_conversion:repeated-division | n=13,base=16 | DIV:13/16=0,r:13 ; OUT:D |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; R:(0,5) ; D:(1,5) |
list_summation | list_summation:right-to-left | 8, 8, 4, 2 | 4+2=6 ; 8+6=14 ; 8+14=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 362+382 | round:370+382=752 ; adjust:752-8=744 ; sum=744 |
multidigit_addition | multidigit_addition:right-to-left-carry | 183+873 | d2:3+3+0=6→w6,c0 ; d1:8+7+0=15→w5,c1 ; d0:1+8+1=10→w0,c1 ; sum=1056 |
list_summation | list_summation:right-to-left | 9, 9, 3, 1 | 3+1=4 ; 9+4=13 ; 9+13=22 |
base_conversion | base_conversion:repeated-division | n=150,base=2 | DIV:150/2=75,r:0 ; DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010110 |
list_summation | list_summation:pairwise | 0, 2, 9, 0 | 0+2=2 ; 9+0=9 ; 2+9=11 |
base_conversion | base_conversion:decomposition | n=15,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 9, 1, 5 | [1,3,9,7,5] ; [1,3,9,7,5] ; [1,3,5,7,9] ; [1,3,5,7,9] |
base_conversion | base_conversion:decomposition | n=13,base=8 | TERM:1*8^1=8 ; TERM:5*8^0=5 ; OUT:15 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 3, 7, 0 | [3,6,7,8,0] ; [0,3,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 0, 5, 3, 7 | 0+5=5 ; 5+3=8 ; 8+7=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 307+605 | round:310+605=915 ; adjust:915-3=912 ; sum=912 |
base_conversion | base_conversion:repeated-division | n=126,base=4 | DIV:126/4=31,r:2 ; DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1332 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 2, 4, 0 | [9,4,2,1,0] ; [0,4,2,1,9] ; [4,0,2,1,9] ; [4,1,2,0,9] ; [0,1,2,4,9] ; [2,1,0,4,9] ; [0,1,2,4,9] ; [1,0,2,4,9] ; [0,1,2,4,9] |
list_summation | list_summation:right-to-left | 7, 8, 5, 6 | 5+6=11 ; 8+11=19 ; 7+19=26 |
base_conversion | base_conversion:decomposition | n=145,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10010001 |
base_conversion | base_conversion:repeated-division | n=191,base=16 | DIV:191/16=11,r:15 ; DIV:11/16=0,r:11 ; OUT:BF |
list_summation | list_summation:left-to-right | 0, 8, 0, 0 | 0+8=8 ; 8+0=8 ; 8+0=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 622+999 | round:630+999=1629 ; adjust:1629-8=1621 ; sum=1621 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
list_summation | list_summation:pairwise | 2, 1, 2, 9 | 2+1=3 ; 2+9=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-99 | 9x-81=-99 ; 9x=-18 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 536+846 | d2:6+6+0=12→w2,c1 ; d1:3+4+1=8→w8,c0 ; d0:5+8+0=13→w3,c1 ; sum=1382 |
list_summation | list_summation:pairwise | 5, 3, 3, 4 | 5+3=8 ; 3+4=7 ; 8+7=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-24=-44 | 4x-24=-44 ; x+-6=-11 ; x=-11--6 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 6, 9, 0 | [1,6,7,9,0] ; [0,1,6,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 8, 0, 3 | [2,6,0,8,3] ; [2,6,0,3,8] ; [2,0,6,3,8] ; [2,0,3,6,8] ; [0,2,3,6,8] |
list_summation | list_summation:left-to-right | 6, 8, 9, 5 | 6+8=14 ; 14+9=23 ; 23+5=28 |
list_summation | list_summation:right-to-left | 5, 3, 4, 0 | 4+0=4 ; 3+4=7 ; 5+7=12 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 2, 0, 1 | [0,7,2,8,1] ; [0,1,2,8,7] ; [0,1,2,8,7] ; [0,1,2,7,8] |
list_summation | list_summation:pairwise | 8, 0, 0, 6 | 8+0=8 ; 0+6=6 ; 8+6=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
base_conversion | base_conversion:repeated-division | n=24,base=16 | DIV:24/16=1,r:8 ; DIV:1/16=0,r:1 ; OUT:18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 1, 7, 3 | [2,1,5,7,3] ; [2,1,5,3,7] ; [1,2,5,3,7] ; [1,2,3,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 416+556 | p100:400+500=900 ; p10:10+50=60 ; p1:6+6=12 ; sum=900+60+12=972 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 0, 2, 8 | [4,7,0,2,8] ; [0,4,7,2,8] ; [0,2,4,7,8] ; [0,2,4,7,8] |
base_conversion | base_conversion:decomposition | n=138,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:2022 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 1, 7, 0 | [2,1,8,7,0] ; [2,1,7,8,0] ; [2,1,7,0,8] ; [1,2,7,0,8] ; [1,2,0,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 413+808 | d2:3+8+0=11→w1,c1 ; d1:1+0+1=2→w2,c0 ; d0:4+8+0=12→w2,c1 ; sum=1221 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=-4 | 4x+12=-4 ; x=(-4-12)/4 ; x=-16/4 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-6=18 | 6x-6=18 ; x=(18--6)/6 ; x=24/6 ; x=4 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 8, 5, 0 | [0,6,8,5,4] ; [0,4,8,5,6] ; [0,4,5,8,6] ; [0,4,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 487+875 | round:490+875=1365 ; adjust:1365-3=1362 ; sum=1362 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 4, 1, 8 | [2,3,4,1,8] ; [2,3,4,1,8] ; [1,2,3,4,8] ; [1,2,3,4,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 3, 5, 6 | [2,8,3,5,6] ; [2,3,8,5,6] ; [2,3,5,8,6] ; [2,3,5,6,8] |
list_summation | list_summation:left-to-right | 9, 7, 6, 7 | 9+7=16 ; 16+6=22 ; 22+7=29 |
multidigit_addition | multidigit_addition:rounding-decomposition | 760+431 | round:760+431=1191 ; adjust:1191-0=1191 ; sum=1191 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 9, 5, 6 | [0,2,9,5,6] ; [0,2,9,5,6] ; [0,2,5,9,6] ; [0,2,5,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 4, 1, 8, 2 | 4+1=5 ; 8+2=10 ; 5+10=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,5) | D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 178+641 | round:180+641=821 ; adjust:821-2=819 ; sum=819 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 9, 0, 7 | [2,3,9,0,7] ; [2,3,0,9,7] ; [0,2,3,9,7] ; [0,2,3,7,9] |
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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 9, 4, 6 | [3,5,9,4,6] ; [3,5,9,4,6] ; [3,4,5,9,6] ; [3,4,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 777+269 | round:780+269=1049 ; adjust:1049-3=1046 ; sum=1046 |
list_summation | list_summation:right-to-left | 2, 4, 5, 1 | 5+1=6 ; 4+6=10 ; 2+10=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 7, 3, 6 | [2,6,7,3,1] ; [7,6,2,3,1] ; [1,6,2,3,7] ; [6,1,2,3,7] ; [6,3,2,1,7] ; [1,3,2,6,7] ; [3,1,2,6,7] ; [2,1,3,6,7] ; [1,2,3,6,7] |
base_conversion | base_conversion:repeated-division | n=187,base=16 | DIV:187/16=11,r:11 ; DIV:11/16=0,r:11 ; OUT:BB |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 865+621 | d2:5+1+0=6→w6,c0 ; d1:6+2+0=8→w8,c0 ; d0:8+6+0=14→w4,c1 ; sum=1486 |
multidigit_addition | multidigit_addition:left-to-right-partials | 685+159 | p100:600+100=700 ; p10:80+50=130 ; p1:5+9=14 ; sum=700+130+14=844 |
base_conversion | base_conversion:decomposition | n=164,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10100100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(4,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 1, 5, 2 | [7,9,1,5,2] ; [1,5,7,9,2] ; [1,2,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 0, 2, 1 | [3,5,0,2,1] ; [3,0,5,2,1] ; [3,0,2,5,1] ; [3,0,2,1,5] ; [0,3,2,1,5] ; [0,2,3,1,5] ; [0,2,1,3,5] ; [0,1,2,3,5] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+40=8 | 8x+40=8 ; 8x=-32 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 2, 0, 2, 5 | 2+0=2 ; 2+5=7 ; 2+7=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 211+918 | p100:200+900=1100 ; p10:10+10=20 ; p1:1+8=9 ; sum=1100+20+9=1129 |
list_summation | list_summation:left-to-right | 6, 6, 4, 2 | 6+6=12 ; 12+4=16 ; 16+2=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 3, 2, 0, 8 | [3,4,2,0,8] ; [3,2,4,0,8] ; [3,2,0,4,8] ; [2,3,0,4,8] ; [2,0,3,4,8] ; [0,2,3,4,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-32=-104 | 8x-32=-104 ; x=(-104--32)/8 ; x=-72/8 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 889+182 | p100:800+100=900 ; p10:80+80=160 ; p1:9+2=11 ; sum=900+160+11=1071 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=16 | 8x+56=16 ; 8x=-40 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 521+844 | round:530+844=1374 ; adjust:1374-9=1365 ; sum=1365 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-20 | 5x-30=-20 ; x=(-20--30)/5 ; x=10/5 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 3, 1, 6, 4 | [0,3,1,6,4] ; [0,1,3,6,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
base_conversion | base_conversion:decomposition | n=128,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10000000 |
base_conversion | base_conversion:via-binary | n=57,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:321 |
multidigit_addition | multidigit_addition:left-to-right-partials | 907+717 | p100:900+700=1600 ; p10:0+10=10 ; p1:7+7=14 ; sum=1600+10+14=1624 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 5, 0, 4 | [6,8,5,0,4] ; [6,5,8,0,4] ; [6,5,0,8,4] ; [6,5,0,4,8] ; [5,6,0,4,8] ; [5,0,6,4,8] ; [5,0,4,6,8] ; [0,5,4,6,8] ; [0,4,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(3,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 5, 2, 6 | [4,8,2,5,6] ; [2,4,5,8,6] ; [2,4,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
base_conversion | base_conversion:decomposition | n=27,base=8 | TERM:3*8^1=24 ; TERM:3*8^0=3 ; OUT:33 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 0, 1, 3, 8 | [0,9,1,3,8] ; [0,1,9,3,8] ; [0,1,3,9,8] ; [0,1,3,8,9] |
base_conversion | base_conversion:repeated-division | n=36,base=2 | DIV:36/2=18,r:0 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 660+481 | p100:600+400=1000 ; p10:60+80=140 ; p1:0+1=1 ; sum=1000+140+1=1141 |
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