task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 5, 9, 1, 9 | 1+9=10 ; 9+10=19 ; 5+19=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 677+542 | round:680+542=1222 ; adjust:1222-3=1219 ; sum=1219 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=10 | 2x+0=10 ; x=(10-0)/2 ; x=10/2 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,3) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:decomposition | n=203,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:3*8^0=3 ; OUT:313 |
base_conversion | base_conversion:repeated-division | n=109,base=2 | DIV:109/2=54,r:1 ; DIV:54/2=27,r:0 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1101101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 755+962 | d2:5+2+0=7→w7,c0 ; d1:5+6+0=11→w1,c1 ; d0:7+9+1=17→w7,c1 ; sum=1717 |
base_conversion | base_conversion:repeated-division | n=164,base=4 | DIV:164/4=41,r:0 ; DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2210 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=25 | 5x+10=25 ; x=(25-10)/5 ; x=15/5 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 955+880 | p100:900+800=1700 ; p10:50+80=130 ; p1:5+0=5 ; sum=1700+130+5=1835 |
multidigit_addition | multidigit_addition:rounding-decomposition | 533+495 | round:540+495=1035 ; adjust:1035-7=1028 ; sum=1028 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 7, 5, 1 | [2,3,7,5,1] ; [2,3,7,5,1] ; [2,3,5,7,1] ; [1,2,3,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 717+340 | p100:700+300=1000 ; p10:10+40=50 ; p1:7+0=7 ; sum=1000+50+7=1057 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=-18 | 3x+9=-18 ; 3x=-27 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,3) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,1) | R:(1,1) ; D:(2,1) ; D:(3,1) |
list_summation | list_summation:left-to-right | 8, 9, 6, 9 | 8+9=17 ; 17+6=23 ; 23+9=32 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-42 | 6x-36=-42 ; x+-6=-7 ; x=-7--6 ; x=-1 |
list_summation | list_summation:pairwise | 1, 9, 1, 9 | 1+9=10 ; 1+9=10 ; 10+10=20 |
list_summation | list_summation:pairwise | 9, 4, 1, 2 | 9+4=13 ; 1+2=3 ; 13+3=16 |
list_summation | list_summation:right-to-left | 0, 4, 8, 0 | 8+0=8 ; 4+8=12 ; 0+12=12 |
list_summation | list_summation:left-to-right | 1, 5, 4, 8 | 1+5=6 ; 6+4=10 ; 10+8=18 |
base_conversion | base_conversion:via-binary | n=189,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10111101 |
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:divide-then-subtract | 4x+36=24 | 4x+36=24 ; x+9=6 ; x=6-9 ; x=-3 |
list_summation | list_summation:pairwise | 7, 8, 6, 4 | 7+8=15 ; 6+4=10 ; 15+10=25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 344+604 | round:350+604=954 ; adjust:954-6=948 ; sum=948 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+14=32 | 2x+14=32 ; x=(32-14)/2 ; x=18/2 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=26 | 2x+16=26 ; x+8=13 ; x=13-8 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 829+433 | d2:9+3+0=12→w2,c1 ; d1:2+3+1=6→w6,c0 ; d0:8+4+0=12→w2,c1 ; sum=1262 |
multidigit_addition | multidigit_addition:left-to-right-partials | 705+956 | p100:700+900=1600 ; p10:0+50=50 ; p1:5+6=11 ; sum=1600+50+11=1661 |
base_conversion | base_conversion:via-binary | n=70,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:6 ; OUT:106 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 1, 7, 2 | [1,4,8,7,2] ; [1,2,8,7,4] ; [1,2,4,7,8] ; [1,2,4,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 8, 5, 0 | [0,2,8,5,4] ; [0,2,8,5,4] ; [0,2,4,5,8] ; [0,2,4,5,8] |
base_conversion | base_conversion:repeated-division | n=3,base=16 | DIV:3/16=0,r:3 ; OUT:3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+6=9 | 3x+6=9 ; x=(9-6)/3 ; x=3/3 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 723+698 | p100:700+600=1300 ; p10:20+90=110 ; p1:3+8=11 ; sum=1300+110+11=1421 |
multidigit_addition | multidigit_addition:rounding-decomposition | 313+912 | round:320+912=1232 ; adjust:1232-7=1225 ; sum=1225 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-40=-112 | 8x-40=-112 ; x+-5=-14 ; x=-14--5 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=104,base=8 | DIV:104/8=13,r:0 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:150 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-55 | 5x-35=-55 ; x=(-55--35)/5 ; x=-20/5 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 296+121 | round:300+121=421 ; adjust:421-4=417 ; sum=417 |
multidigit_addition | multidigit_addition:right-to-left-carry | 223+974 | d2:3+4+0=7→w7,c0 ; d1:2+7+0=9→w9,c0 ; d0:2+9+0=11→w1,c1 ; sum=1197 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+32=0 | 4x+32=0 ; x+8=0 ; x=0-8 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 247+732 | p100:200+700=900 ; p10:40+30=70 ; p1:7+2=9 ; sum=900+70+9=979 |
list_summation | list_summation:right-to-left | 3, 3, 2, 9 | 2+9=11 ; 3+11=14 ; 3+14=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 907+182 | p100:900+100=1000 ; p10:0+80=80 ; p1:7+2=9 ; sum=1000+80+9=1089 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 4, 9, 0, 6 | [0,4,9,5,6] ; [0,4,9,5,6] ; [0,4,5,9,6] ; [0,4,5,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=-6 | 2x+0=-6 ; 2x=-6 ; x=-3 |
base_conversion | base_conversion:via-binary | n=113,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1110001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 352+419 | d2:2+9+0=11→w1,c1 ; d1:5+1+1=7→w7,c0 ; d0:3+4+0=7→w7,c0 ; sum=771 |
multidigit_addition | multidigit_addition:right-to-left-carry | 406+995 | d2:6+5+0=11→w1,c1 ; d1:0+9+1=10→w0,c1 ; d0:4+9+1=14→w4,c1 ; sum=1401 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 2, 6, 5 | [1,2,3,6,5] ; [1,2,3,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 580+380 | d2:0+0+0=0→w0,c0 ; d1:8+8+0=16→w6,c1 ; d0:5+3+1=9→w9,c0 ; sum=960 |
multidigit_addition | multidigit_addition:left-to-right-partials | 882+408 | p100:800+400=1200 ; p10:80+0=80 ; p1:2+8=10 ; sum=1200+80+10=1290 |
list_summation | list_summation:right-to-left | 4, 4, 9, 6 | 9+6=15 ; 4+15=19 ; 4+19=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=12 | 6x+12=12 ; x=(12-12)/6 ; x=0/6 ; x=0 |
base_conversion | base_conversion:repeated-division | n=32,base=16 | DIV:32/16=2,r:0 ; DIV:2/16=0,r:2 ; OUT:20 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 7, 9, 3 | [1,9,7,8,3] ; [9,1,7,8,3] ; [9,8,7,1,3] ; [3,8,7,1,9] ; [8,3,7,1,9] ; [1,3,7,8,9] ; [7,3,1,8,9] ; [1,3,7,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 9, 2, 0 | [4,5,9,2,0] ; [4,5,9,2,0] ; [2,4,5,9,0] ; [0,2,4,5,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-18=-36 | 6x-18=-36 ; 6x=-18 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 320+152 | p100:300+100=400 ; p10:20+50=70 ; p1:0+2=2 ; sum=400+70+2=472 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 3, 9, 1 | [1,8,3,9,2] ; [1,2,3,9,8] ; [1,2,3,9,8] ; [1,2,3,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 282+260 | round:290+260=550 ; adjust:550-8=542 ; sum=542 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 1, 4, 9 | [1,2,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=0 | 6x+24=0 ; x=(0-24)/6 ; x=-24/6 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 617+324 | round:620+324=944 ; adjust:944-3=941 ; sum=941 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 3, 0, 8, 2 | 8+2=10 ; 0+10=10 ; 3+10=13 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=36 | 9x+27=36 ; x+3=4 ; x=4-3 ; x=1 |
base_conversion | base_conversion:repeated-division | n=31,base=16 | DIV:31/16=1,r:15 ; DIV:1/16=0,r:1 ; OUT:1F |
list_summation | list_summation:right-to-left | 9, 7, 1, 9 | 1+9=10 ; 7+10=17 ; 9+17=26 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 5, 1, 3, 2 | [5,7,1,3,2] ; [5,1,7,3,2] ; [5,1,3,7,2] ; [5,1,3,2,7] ; [1,5,3,2,7] ; [1,3,5,2,7] ; [1,3,2,5,7] ; [1,2,3,5,7] |
list_summation | list_summation:right-to-left | 1, 1, 8, 7 | 8+7=15 ; 1+15=16 ; 1+16=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 757+581 | d2:7+1+0=8→w8,c0 ; d1:5+8+0=13→w3,c1 ; d0:7+5+1=13→w3,c1 ; sum=1338 |
list_summation | list_summation:right-to-left | 2, 7, 4, 1 | 4+1=5 ; 7+5=12 ; 2+12=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 6, 1, 4 | [9,4,6,1,3] ; [3,4,6,1,9] ; [6,4,3,1,9] ; [1,4,3,6,9] ; [4,1,3,6,9] ; [3,1,4,6,9] ; [1,3,4,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+0=-40 | 8x+0=-40 ; 8x=-40 ; x=-5 |
list_summation | list_summation:right-to-left | 9, 2, 0, 8 | 0+8=8 ; 2+8=10 ; 9+10=19 |
base_conversion | base_conversion:decomposition | n=231,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11100111 |
list_summation | list_summation:left-to-right | 9, 8, 9, 3 | 9+8=17 ; 17+9=26 ; 26+3=29 |
multidigit_addition | multidigit_addition:rounding-decomposition | 769+551 | round:770+551=1321 ; adjust:1321-1=1320 ; sum=1320 |
base_conversion | base_conversion:via-binary | n=228,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11100100 |
list_summation | list_summation:right-to-left | 6, 3, 1, 9 | 1+9=10 ; 3+10=13 ; 6+13=19 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 8, 2, 6 | [1,7,8,2,6] ; [1,2,8,7,6] ; [1,2,6,7,8] ; [1,2,6,7,8] |
base_conversion | base_conversion:via-binary | n=113,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:1 ; OUT:71 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-4=4 | 4x-4=4 ; x=(4--4)/4 ; x=8/4 ; x=2 |
base_conversion | base_conversion:decomposition | n=96,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1200 |
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