task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 555+801 | p100:500+800=1300 ; p10:50+0=50 ; p1:5+1=6 ; sum=1300+50+6=1356 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=24 | 3x+9=24 ; 3x=15 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 8, 0, 4, 2 | [8,9,0,4,2] ; [8,0,9,4,2] ; [8,0,4,9,2] ; [8,0,4,2,9] ; [0,8,4,2,9] ; [0,4,8,2,9] ; [0,4,2,8,9] ; [0,2,4,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 102+124 | d2:2+4+0=6→w6,c0 ; d1:0+2+0=2→w2,c0 ; d0:1+1+0=2→w2,c0 ; sum=226 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 4, 1, 2 | [8,4,9,1,2] ; [8,4,1,9,2] ; [8,4,1,2,9] ; [4,8,1,2,9] ; [4,1,8,2,9] ; [4,1,2,8,9] ; [1,4,2,8,9] ; [1,2,4,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 134+952 | p100:100+900=1000 ; p10:30+50=80 ; p1:4+2=6 ; sum=1000+80+6=1086 |
list_summation | list_summation:left-to-right | 7, 5, 3, 8 | 7+5=12 ; 12+3=15 ; 15+8=23 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 8, 5, 3 | [0,2,8,5,3] ; [0,2,5,8,3] ; [0,2,3,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 209+199 | p100:200+100=300 ; p10:0+90=90 ; p1:9+9=18 ; sum=300+90+18=408 |
list_summation | list_summation:left-to-right | 9, 4, 4, 8 | 9+4=13 ; 13+4=17 ; 17+8=25 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 9, 4, 8, 5 | [2,9,4,8,5] ; [2,4,9,8,5] ; [2,4,5,8,9] ; [2,4,5,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 1, 0, 4 | [0,7,1,3,4] ; [0,1,7,3,4] ; [0,1,3,7,4] ; [0,1,3,4,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 351+244 | p100:300+200=500 ; p10:50+40=90 ; p1:1+4=5 ; sum=500+90+5=595 |
multidigit_addition | multidigit_addition:left-to-right-partials | 928+730 | p100:900+700=1600 ; p10:20+30=50 ; p1:8+0=8 ; sum=1600+50+8=1658 |
list_summation | list_summation:right-to-left | 9, 3, 4, 6 | 4+6=10 ; 3+10=13 ; 9+13=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 468+785 | round:470+785=1255 ; adjust:1255-2=1253 ; sum=1253 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; D:(4,1) ; R:(4,2) |
list_summation | list_summation:pairwise | 3, 0, 7, 2 | 3+0=3 ; 7+2=9 ; 3+9=12 |
base_conversion | base_conversion:repeated-division | n=69,base=2 | DIV:69/2=34,r:1 ; DIV:34/2=17,r:0 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1000101 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 1, 2, 7 | [0,9,1,2,7] ; [0,1,9,2,7] ; [0,1,2,9,7] ; [0,1,2,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+0=4 | 2x+0=4 ; x+0=2 ; x=2-0 ; x=2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 5, 8, 8, 0 | 8+0=8 ; 8+8=16 ; 5+16=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 105+377 | d2:5+7+0=12→w2,c1 ; d1:0+7+1=8→w8,c0 ; d0:1+3+0=4→w4,c0 ; sum=482 |
base_conversion | base_conversion:repeated-division | n=73,base=2 | DIV:73/2=36,r:1 ; 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:1001001 |
multidigit_addition | multidigit_addition:rounding-decomposition | 848+128 | round:850+128=978 ; adjust:978-2=976 ; sum=976 |
multidigit_addition | multidigit_addition:rounding-decomposition | 739+635 | round:740+635=1375 ; adjust:1375-1=1374 ; sum=1374 |
list_summation | list_summation:pairwise | 5, 3, 6, 1 | 5+3=8 ; 6+1=7 ; 8+7=15 |
list_summation | list_summation:left-to-right | 5, 8, 7, 9 | 5+8=13 ; 13+7=20 ; 20+9=29 |
multidigit_addition | multidigit_addition:left-to-right-partials | 407+482 | p100:400+400=800 ; p10:0+80=80 ; p1:7+2=9 ; sum=800+80+9=889 |
base_conversion | base_conversion:decomposition | n=81,base=2 | 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:1010001 |
base_conversion | base_conversion:repeated-division | n=141,base=8 | DIV:141/8=17,r:5 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:215 |
base_conversion | base_conversion:repeated-division | n=157,base=8 | DIV:157/8=19,r:5 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:235 |
multidigit_addition | multidigit_addition:rounding-decomposition | 760+444 | round:760+444=1204 ; adjust:1204-0=1204 ; sum=1204 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=30 | 6x+30=30 ; x=(30-30)/6 ; x=0/6 ; x=0 |
list_summation | list_summation:pairwise | 3, 5, 2, 8 | 3+5=8 ; 2+8=10 ; 8+10=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-24=8 | 8x-24=8 ; 8x=32 ; x=4 |
base_conversion | base_conversion:repeated-division | n=10,base=16 | DIV:10/16=0,r:10 ; OUT:A |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-8=20 | 4x-8=20 ; x=(20--8)/4 ; x=28/4 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-16 | 2x-8=-16 ; x+-4=-8 ; x=-8--4 ; x=-4 |
list_summation | list_summation:pairwise | 5, 0, 5, 6 | 5+0=5 ; 5+6=11 ; 5+11=16 |
list_summation | list_summation:right-to-left | 1, 8, 9, 8 | 9+8=17 ; 8+17=25 ; 1+25=26 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+28=24 | 4x+28=24 ; 4x=-4 ; x=-1 |
base_conversion | base_conversion:decomposition | n=85,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:1111 |
base_conversion | base_conversion:decomposition | n=152,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:0*2^0=0 ; OUT:10011000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 0, 8, 2, 5 | [0,3,8,2,5] ; [0,3,2,8,5] ; [0,3,2,5,8] ; [0,2,3,5,8] |
list_summation | list_summation:left-to-right | 6, 8, 3, 6 | 6+8=14 ; 14+3=17 ; 17+6=23 |
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 |
multidigit_addition | multidigit_addition:rounding-decomposition | 299+284 | round:300+284=584 ; adjust:584-1=583 ; sum=583 |
multidigit_addition | multidigit_addition:left-to-right-partials | 898+962 | p100:800+900=1700 ; p10:90+60=150 ; p1:8+2=10 ; sum=1700+150+10=1860 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 2, 1, 6 | [1,7,2,3,6] ; [1,2,7,3,6] ; [1,2,3,7,6] ; [1,2,3,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 1, 2, 8, 2 | 1+2=3 ; 3+8=11 ; 11+2=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 9, 0, 8 | [5,7,0,9,8] ; [5,7,0,8,9] ; [5,0,7,8,9] ; [0,5,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-12=-33 | 3x-12=-33 ; 3x=-21 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 7, 1, 8 | [0,6,7,1,8] ; [0,1,7,6,8] ; [0,1,6,7,8] ; [0,1,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 430+892 | p100:400+800=1200 ; p10:30+90=120 ; p1:0+2=2 ; sum=1200+120+2=1322 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-128 | 8x-64=-128 ; 8x=-64 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+4=-16 | 4x+4=-16 ; 4x=-20 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+3=3 | 3x+3=3 ; 3x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=192,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:7:0 ; OUT:11000000 |
multidigit_addition | multidigit_addition:rounding-decomposition | 448+730 | round:450+730=1180 ; adjust:1180-2=1178 ; sum=1178 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 1, 9, 2 | [1,3,8,9,2] ; [1,2,8,9,3] ; [1,2,3,9,8] ; [1,2,3,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 4, 7, 9 | [1,3,4,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 7, 6, 9 | [2,5,6,7,9] |
base_conversion | base_conversion:via-binary | n=67,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1000011 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,5) | D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=175,base=8 | TERM:2*8^2=128 ; TERM:5*8^1=40 ; TERM:7*8^0=7 ; OUT:257 |
list_summation | list_summation:left-to-right | 1, 3, 3, 9 | 1+3=4 ; 4+3=7 ; 7+9=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 981+461 | round:990+461=1451 ; adjust:1451-9=1442 ; sum=1442 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 5, 2, 3 | [7,6,5,2,3] ; [3,6,5,2,7] ; [6,3,5,2,7] ; [2,3,5,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7] |
base_conversion | base_conversion:decomposition | n=200,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:3020 |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; D:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 0, 5, 7 | [0,3,4,5,7] ; [0,3,4,5,7] ; [0,3,4,5,7] ; [0,3,4,5,7] |
list_summation | list_summation:right-to-left | 1, 0, 0, 8 | 0+8=8 ; 0+8=8 ; 1+8=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=-7 | 7x-49=-7 ; x+-7=-1 ; x=-1--7 ; x=6 |
base_conversion | base_conversion:decomposition | n=118,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1312 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 0, 8, 5 | [3,8,0,2,5] ; [8,3,0,2,5] ; [8,5,0,2,3] ; [3,5,0,2,8] ; [5,3,0,2,8] ; [2,3,0,5,8] ; [3,2,0,5,8] ; [0,2,3,5,8] ; [2,0,3,5,8] ; [0,2,3,5,8] |
list_summation | list_summation:pairwise | 2, 9, 5, 9 | 2+9=11 ; 5+9=14 ; 11+14=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 635+268 | p100:600+200=800 ; p10:30+60=90 ; p1:5+8=13 ; sum=800+90+13=903 |
base_conversion | base_conversion:via-binary | n=135,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10000111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 1, 2, 3, 5 | [1,6,2,3,5] ; [1,2,6,3,5] ; [1,2,3,6,5] ; [1,2,3,5,6] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 1, 8, 9 | [0,9,1,8,5] ; [9,0,1,8,5] ; [9,8,1,0,5] ; [5,8,1,0,9] ; [8,5,1,0,9] ; [0,5,1,8,9] ; [5,0,1,8,9] ; [1,0,5,8,9] ; [0,1,5,8,9] |
base_conversion | base_conversion:repeated-division | n=145,base=4 | DIV:145/4=36,r:1 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2101 |
base_conversion | base_conversion:repeated-division | n=113,base=4 | DIV:113/4=28,r:1 ; DIV:28/4=7,r:0 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1301 |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 279+858 | d2:9+8+0=17→w7,c1 ; d1:7+5+1=13→w3,c1 ; d0:2+8+1=11→w1,c1 ; sum=1137 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+0=-45 | 5x+0=-45 ; x+0=-9 ; x=-9-0 ; x=-9 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 3, 7, 4 | [9,7,3,0,4] ; [4,7,3,0,9] ; [7,4,3,0,9] ; [0,4,3,7,9] ; [4,0,3,7,9] ; [3,0,4,7,9] ; [0,3,4,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+81=108 | 9x+81=108 ; x=(108-81)/9 ; x=27/9 ; x=3 |
base_conversion | base_conversion:via-binary | n=97,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:1 ; OUT:141 |
list_summation | list_summation:pairwise | 0, 0, 9, 6 | 0+0=0 ; 9+6=15 ; 0+15=15 |
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