task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 8, 5, 4, 0 | 8+5=13 ; 4+0=4 ; 13+4=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 4, 5, 9 | [2,8,4,5,9] ; [2,4,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=-54 | 9x-45=-54 ; 9x=-9 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 531+282 | p100:500+200=700 ; p10:30+80=110 ; p1:1+2=3 ; sum=700+110+3=813 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-12=-24 | 3x-12=-24 ; 3x=-12 ; x=-4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 3, 9, 7 | [4,6,3,9,7] ; [4,3,6,9,7] ; [4,3,6,7,9] ; [3,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=132,base=16 | TERM:8*16^1=128 ; TERM:4*16^0=4 ; OUT:84 |
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 | 713+709 | p100:700+700=1400 ; p10:10+0=10 ; p1:3+9=12 ; sum=1400+10+12=1422 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 0, 9, 5, 4 | [0,1,9,5,4] ; [0,1,5,9,4] ; [0,1,4,5,9] |
base_conversion | base_conversion:via-binary | n=20,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:4 ; OUT:24 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 7, 9, 3, 6 | [9,7,8,3,6] ; [6,7,8,3,9] ; [8,7,6,3,9] ; [3,7,6,8,9] ; [7,3,6,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=8 | 2x+0=8 ; 2x=8 ; x=4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 6, 3, 8 | [1,5,3,6,8] ; [1,3,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=-15 | 5x-15=-15 ; 5x=0 ; x=0 |
base_conversion | base_conversion:repeated-division | n=103,base=8 | DIV:103/8=12,r:7 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:147 |
list_summation | list_summation:left-to-right | 7, 8, 8, 2 | 7+8=15 ; 15+8=23 ; 23+2=25 |
list_summation | list_summation:left-to-right | 1, 0, 4, 0 | 1+0=1 ; 1+4=5 ; 5+0=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=-66 | 6x-42=-66 ; x=(-66--42)/6 ; x=-24/6 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 681+124 | d2:1+4+0=5→w5,c0 ; d1:8+2+0=10→w0,c1 ; d0:6+1+1=8→w8,c0 ; sum=805 |
multidigit_addition | multidigit_addition:left-to-right-partials | 849+476 | p100:800+400=1200 ; p10:40+70=110 ; p1:9+6=15 ; sum=1200+110+15=1325 |
base_conversion | base_conversion:via-binary | n=192,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:0 ; OUT:C0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 297+619 | round:300+619=919 ; adjust:919-3=916 ; sum=916 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 0, 8, 7 | [0,5,8,9,7] ; [0,5,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=55 | 5x+25=55 ; x=(55-25)/5 ; x=30/5 ; x=6 |
base_conversion | base_conversion:decomposition | n=166,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:2212 |
base_conversion | base_conversion:decomposition | n=62,base=16 | TERM:3*16^1=48 ; TERM:14*16^0=14 ; OUT:3E |
list_summation | list_summation:pairwise | 9, 5, 2, 4 | 9+5=14 ; 2+4=6 ; 14+6=20 |
base_conversion | base_conversion:repeated-division | n=199,base=4 | DIV:199/4=49,r:3 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3013 |
base_conversion | base_conversion:decomposition | n=162,base=16 | TERM:10*16^1=160 ; TERM:2*16^0=2 ; OUT:A2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-12=-2 | 2x-12=-2 ; x=(-2--12)/2 ; x=10/2 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,5) | 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:pairwise | 4, 3, 5, 7 | 4+3=7 ; 5+7=12 ; 7+12=19 |
base_conversion | base_conversion:decomposition | n=48,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:110000 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 7, 5, 2 | [6,8,5,7,2] ; [5,6,7,8,2] ; [2,5,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=-70 | 7x-49=-70 ; x+-7=-10 ; x=-10--7 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 2, 0, 7 | [8,7,2,0,5] ; [5,7,2,0,8] ; [7,5,2,0,8] ; [0,5,2,7,8] ; [5,0,2,7,8] ; [2,0,5,7,8] ; [0,2,5,7,8] |
list_summation | list_summation:pairwise | 6, 6, 8, 5 | 6+6=12 ; 8+5=13 ; 12+13=25 |
list_summation | list_summation:pairwise | 9, 6, 6, 5 | 9+6=15 ; 6+5=11 ; 15+11=26 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 6, 4, 0, 3 | [0,6,4,1,3] ; [0,1,4,6,3] ; [0,1,3,6,4] ; [0,1,3,4,6] |
list_summation | list_summation:pairwise | 9, 7, 7, 7 | 9+7=16 ; 7+7=14 ; 16+14=30 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=18 | 9x+27=18 ; 9x=-9 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 7, 2, 0 | [1,3,7,2,0] ; [1,3,2,7,0] ; [1,3,2,0,7] ; [1,2,3,0,7] ; [1,2,0,3,7] ; [1,0,2,3,7] ; [0,1,2,3,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 800+425 | d2:0+5+0=5→w5,c0 ; d1:0+2+0=2→w2,c0 ; d0:8+4+0=12→w2,c1 ; sum=1225 |
list_summation | list_summation:left-to-right | 4, 3, 7, 0 | 4+3=7 ; 7+7=14 ; 14+0=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 8, 2, 4, 9 | 8+2=10 ; 10+4=14 ; 14+9=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 233+723 | round:240+723=963 ; adjust:963-7=956 ; sum=956 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 0, 7, 8 | [1,3,0,7,8] ; [0,1,3,7,8] ; [0,1,3,7,8] ; [0,1,3,7,8] |
list_summation | list_summation:right-to-left | 3, 0, 5, 7 | 5+7=12 ; 0+12=12 ; 3+12=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=4 | 4x-16=4 ; 4x=20 ; x=5 |
list_summation | list_summation:right-to-left | 4, 0, 0, 0 | 0+0=0 ; 0+0=0 ; 4+0=4 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+81=81 | 9x+81=81 ; x=(81-81)/9 ; x=0/9 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=0 | 8x-16=0 ; x=(0--16)/8 ; x=16/8 ; x=2 |
base_conversion | base_conversion:repeated-division | n=154,base=2 | DIV:154/2=77,r:0 ; DIV:77/2=38,r:1 ; DIV:38/2=19,r:0 ; DIV:19/2=9,r:1 ; 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:10011010 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=-12 | 4x+24=-12 ; 4x=-36 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 755+374 | round:760+374=1134 ; adjust:1134-5=1129 ; sum=1129 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 1, 4, 3, 7 | [1,6,4,3,7] ; [1,3,4,6,7] ; [1,3,4,6,7] ; [1,3,4,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 310+342 | d2:0+2+0=2→w2,c0 ; d1:1+4+0=5→w5,c0 ; d0:3+3+0=6→w6,c0 ; sum=652 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 0, 9, 6 | [7,0,8,9,6] ; [7,0,8,6,9] ; [0,7,8,6,9] ; [0,7,6,8,9] ; [0,6,7,8,9] |
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) |
list_summation | list_summation:left-to-right | 7, 1, 4, 5 | 7+1=8 ; 8+4=12 ; 12+5=17 |
list_summation | list_summation:right-to-left | 2, 2, 2, 4 | 2+4=6 ; 2+6=8 ; 2+8=10 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 4, 5, 0 | [1,2,4,5,0] ; [1,2,4,5,0] ; [1,2,4,5,0] ; [0,1,2,4,5] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+0=8 | 4x+0=8 ; x=(8-0)/4 ; x=8/4 ; x=2 |
base_conversion | base_conversion:repeated-division | n=250,base=16 | DIV:250/16=15,r:10 ; DIV:15/16=0,r:15 ; OUT:FA |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 319+428 | round:320+428=748 ; adjust:748-1=747 ; sum=747 |
list_summation | list_summation:left-to-right | 2, 8, 2, 2 | 2+8=10 ; 10+2=12 ; 12+2=14 |
base_conversion | base_conversion:repeated-division | n=178,base=16 | DIV:178/16=11,r:2 ; DIV:11/16=0,r:11 ; OUT:B2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 551+660 | p100:500+600=1100 ; p10:50+60=110 ; p1:1+0=1 ; sum=1100+110+1=1211 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=-42 | 7x-7=-42 ; 7x=-35 ; x=-5 |
list_summation | list_summation:right-to-left | 6, 4, 0, 7 | 0+7=7 ; 4+7=11 ; 6+11=17 |
list_summation | list_summation:pairwise | 1, 2, 6, 2 | 1+2=3 ; 6+2=8 ; 3+8=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 444+553 | round:450+553=1003 ; adjust:1003-6=997 ; sum=997 |
base_conversion | base_conversion:via-binary | n=237,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11101101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 365+373 | d2:5+3+0=8→w8,c0 ; d1:6+7+0=13→w3,c1 ; d0:3+3+1=7→w7,c0 ; sum=738 |
base_conversion | base_conversion:repeated-division | n=50,base=16 | DIV:50/16=3,r:2 ; DIV:3/16=0,r:3 ; OUT:32 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-24=0 | 3x-24=0 ; x=(0--24)/3 ; x=24/3 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 5, 6, 3 | [2,5,6,7,3] ; [2,3,5,6,7] |
base_conversion | base_conversion:decomposition | n=210,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:2*8^0=2 ; OUT:322 |
list_summation | list_summation:right-to-left | 4, 4, 0, 8 | 0+8=8 ; 4+8=12 ; 4+12=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 551+148 | d2:1+8+0=9→w9,c0 ; d1:5+4+0=9→w9,c0 ; d0:5+1+0=6→w6,c0 ; sum=699 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 8, 0, 2, 7 | [4,0,8,2,7] ; [4,0,2,8,7] ; [4,0,2,7,8] ; [0,4,2,7,8] ; [0,2,4,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 903+697 | d2:3+7+0=10→w0,c1 ; d1:0+9+1=10→w0,c1 ; d0:9+6+1=16→w6,c1 ; sum=1600 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 1, 6, 9 | [0,7,1,6,9] ; [0,1,7,6,9] ; [0,1,6,7,9] ; [0,1,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=25 | 5x-15=25 ; 5x=40 ; x=8 |
base_conversion | base_conversion:via-binary | n=4,base=16 | BINLEN:3 ; CHUNK:0:4 ; OUT:4 |
list_summation | list_summation:pairwise | 8, 9, 5, 9 | 8+9=17 ; 5+9=14 ; 17+14=31 |
base_conversion | base_conversion:repeated-division | n=24,base=8 | DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:30 |
list_summation | list_summation:left-to-right | 6, 4, 8, 2 | 6+4=10 ; 10+8=18 ; 18+2=20 |
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