task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 4, 8, 9 | [2,5,4,8,9] ; [2,4,5,8,9] ; [2,4,5,8,9] ; [2,4,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=-66 | 6x-48=-66 ; x=(-66--48)/6 ; x=-18/6 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-42 | 3x-21=-42 ; x+-7=-14 ; x=-14--7 ; x=-7 |
list_summation | list_summation:pairwise | 8, 3, 8, 5 | 8+3=11 ; 8+5=13 ; 11+13=24 |
multidigit_addition | multidigit_addition:left-to-right-partials | 422+596 | p100:400+500=900 ; p10:20+90=110 ; p1:2+6=8 ; sum=900+110+8=1018 |
base_conversion | base_conversion:repeated-division | n=224,base=2 | DIV:224/2=112,r:0 ; DIV:112/2=56,r:0 ; DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11100000 |
list_summation | list_summation:left-to-right | 7, 4, 8, 6 | 7+4=11 ; 11+8=19 ; 19+6=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=15 | 5x+30=15 ; x+6=3 ; x=3-6 ; x=-3 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 1, 7, 8 | [1,4,6,7,8] |
list_summation | list_summation:pairwise | 1, 2, 2, 8 | 1+2=3 ; 2+8=10 ; 3+10=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 740+571 | d2:0+1+0=1→w1,c0 ; d1:4+7+0=11→w1,c1 ; d0:7+5+1=13→w3,c1 ; sum=1311 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 2, 4, 8 | [1,7,2,4,8] ; [1,2,7,4,8] ; [1,2,4,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 3, 0, 7 | [6,7,3,0,4] ; [7,6,3,0,4] ; [4,6,3,0,7] ; [6,4,3,0,7] ; [0,4,3,6,7] ; [4,0,3,6,7] ; [3,0,4,6,7] ; [0,3,4,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 141+845 | round:150+845=995 ; adjust:995-9=986 ; sum=986 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=12 | 6x-36=12 ; 6x=48 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+81=126 | 9x+81=126 ; x=(126-81)/9 ; x=45/9 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+0=-4 | 2x+0=-4 ; x+0=-2 ; x=-2-0 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=144,base=16 | DIV:144/16=9,r:0 ; DIV:9/16=0,r:9 ; OUT:90 |
base_conversion | base_conversion:repeated-division | n=234,base=4 | DIV:234/4=58,r:2 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3222 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-63=-91 | 7x-63=-91 ; x+-9=-13 ; x=-13--9 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 773+917 | round:780+917=1697 ; adjust:1697-7=1690 ; sum=1690 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 2, 5, 9, 3 | [2,4,5,9,3] ; [2,3,4,5,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 9, 7, 5 | [0,6,9,7,5] ; [0,6,9,7,5] ; [0,6,7,9,5] ; [0,5,6,7,9] |
base_conversion | base_conversion:repeated-division | n=177,base=2 | DIV:177/2=88,r:1 ; DIV:88/2=44,r:0 ; DIV:44/2=22,r:0 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10110001 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
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:inverse-ops | 5x+20=0 | 5x+20=0 ; x=(0-20)/5 ; x=-20/5 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 690+646 | round:690+646=1336 ; adjust:1336-0=1336 ; sum=1336 |
multidigit_addition | multidigit_addition:left-to-right-partials | 605+113 | p100:600+100=700 ; p10:0+10=10 ; p1:5+3=8 ; sum=700+10+8=718 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-6=6 | 2x-6=6 ; x=(6--6)/2 ; x=12/2 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 2, 9, 3, 6 | [2,5,9,3,6] ; [2,5,3,9,6] ; [2,3,5,9,6] ; [2,3,5,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,4) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 540+340 | p100:500+300=800 ; p10:40+40=80 ; p1:0+0=0 ; sum=800+80+0=880 |
base_conversion | base_conversion:via-binary | n=140,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:4 ; OUT:214 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 784+453 | p100:700+400=1100 ; p10:80+50=130 ; p1:4+3=7 ; sum=1100+130+7=1237 |
multidigit_addition | multidigit_addition:rounding-decomposition | 298+705 | round:300+705=1005 ; adjust:1005-2=1003 ; sum=1003 |
base_conversion | base_conversion:via-binary | n=184,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:0 ; OUT:270 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 9, 3, 4 | [2,7,9,3,4] ; [2,7,9,3,4] ; [2,3,7,9,4] ; [2,3,4,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 0, 2, 4 | [3,5,0,2,4] ; [0,2,3,5,4] ; [0,2,3,4,5] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=12 | 2x-6=12 ; 2x=18 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 807+348 | round:810+348=1158 ; adjust:1158-3=1155 ; sum=1155 |
list_summation | list_summation:pairwise | 8, 3, 2, 2 | 8+3=11 ; 2+2=4 ; 11+4=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 345+238 | p100:300+200=500 ; p10:40+30=70 ; p1:5+8=13 ; sum=500+70+13=583 |
list_summation | list_summation:pairwise | 0, 8, 7, 2 | 0+8=8 ; 7+2=9 ; 8+9=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
list_summation | list_summation:left-to-right | 8, 0, 9, 3 | 8+0=8 ; 8+9=17 ; 17+3=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=-14 | 2x-6=-14 ; 2x=-8 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=35 | 5x+20=35 ; x=(35-20)/5 ; x=15/5 ; x=3 |
base_conversion | base_conversion:via-binary | n=154,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:232 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=48 | 4x+24=48 ; 4x=24 ; x=6 |
list_summation | list_summation:left-to-right | 9, 0, 0, 3 | 9+0=9 ; 9+0=9 ; 9+3=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 290+407 | p100:200+400=600 ; p10:90+0=90 ; p1:0+7=7 ; sum=600+90+7=697 |
list_summation | list_summation:left-to-right | 0, 5, 7, 0 | 0+5=5 ; 5+7=12 ; 12+0=12 |
base_conversion | base_conversion:decomposition | n=98,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:1202 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 9, 5, 7 | [2,3,9,5,7] ; [2,3,9,5,7] ; [2,3,5,9,7] ; [2,3,5,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 147+642 | round:150+642=792 ; adjust:792-3=789 ; sum=789 |
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) |
base_conversion | base_conversion:via-binary | n=27,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:11 ; OUT:1B |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 2, 0, 4 | [0,9,2,7,4] ; [0,2,9,7,4] ; [0,2,4,7,9] ; [0,2,4,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
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:merge-sort | 5, 9, 1, 3, 2 | [1,3,5,9,2] ; [1,2,3,5,9] |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+28=28 | 4x+28=28 ; x+7=7 ; x=7-7 ; x=0 |
list_summation | list_summation:pairwise | 8, 4, 2, 3 | 8+4=12 ; 2+3=5 ; 12+5=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=18 | 6x+36=18 ; 6x=-18 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 1, 8, 2 | [0,5,1,8,2] ; [0,1,5,8,2] ; [0,1,5,8,2] ; [0,1,2,5,8] |
base_conversion | base_conversion:via-binary | n=226,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:3202 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=18 | 3x+3=18 ; x=(18-3)/3 ; x=15/3 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
base_conversion | base_conversion:repeated-division | n=137,base=2 | DIV:137/2=68,r:1 ; DIV:68/2=34,r:0 ; 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:10001001 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 9, 4, 3 | [9,6,2,4,3] ; [3,6,2,4,9] ; [6,3,2,4,9] ; [6,4,2,3,9] ; [3,4,2,6,9] ; [4,3,2,6,9] ; [2,3,4,6,9] ; [3,2,4,6,9] ; [2,3,4,6,9] |
base_conversion | base_conversion:repeated-division | n=131,base=16 | DIV:131/16=8,r:3 ; DIV:8/16=0,r:8 ; OUT:83 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 9, 5, 1 | [1,7,9,5,3] ; [1,3,9,5,7] ; [1,3,5,9,7] ; [1,3,5,7,9] |
list_summation | list_summation:pairwise | 0, 6, 9, 4 | 0+6=6 ; 9+4=13 ; 6+13=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+8=12 | 4x+8=12 ; x=(12-8)/4 ; x=4/4 ; x=1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 629+130 | p100:600+100=700 ; p10:20+30=50 ; p1:9+0=9 ; sum=700+50+9=759 |
list_summation | list_summation:right-to-left | 0, 3, 3, 3 | 3+3=6 ; 3+6=9 ; 0+9=9 |
base_conversion | base_conversion:repeated-division | n=128,base=2 | DIV:128/2=64,r:0 ; DIV:64/2=32,r:0 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; 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:10000000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-30=10 | 5x-30=10 ; 5x=40 ; x=8 |
base_conversion | base_conversion:repeated-division | n=181,base=4 | DIV:181/4=45,r:1 ; DIV:45/4=11,r:1 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2311 |
multidigit_addition | multidigit_addition:rounding-decomposition | 812+814 | round:820+814=1634 ; adjust:1634-8=1626 ; sum=1626 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 4, 6, 9 | [1,7,4,6,9] ; [1,4,7,6,9] ; [1,4,6,7,9] ; [1,4,6,7,9] |
base_conversion | base_conversion:repeated-division | n=25,base=4 | DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:121 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 5, 2, 0 | [9,7,5,2,0] ; [0,7,5,2,9] ; [7,0,5,2,9] ; [7,2,5,0,9] ; [0,2,5,7,9] ; [5,2,0,7,9] ; [0,2,5,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 9, 3, 5, 2 | [6,9,3,5,2] ; [3,6,9,5,2] ; [3,5,6,9,2] ; [2,3,5,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 3, 8, 4 | [0,3,7,8,4] ; [0,3,7,4,8] ; [0,3,4,7,8] |
base_conversion | base_conversion:via-binary | n=211,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:323 |
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