task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 316+606 | round:320+606=926 ; adjust:926-4=922 ; sum=922 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 6, 8, 5, 2 | [0,6,8,5,2] ; [0,6,8,5,2] ; [0,5,6,8,2] ; [0,2,5,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 7, 5, 6 | [0,3,7,5,6] ; [0,3,7,5,6] ; [0,3,5,7,6] ; [0,3,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=-24 | 4x+8=-24 ; x+2=-6 ; x=-6-2 ; x=-8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 9, 1, 7 | [0,6,9,1,7] ; [0,6,9,1,7] ; [0,1,6,9,7] ; [0,1,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(1,4) | R:(0,4) ; D:(1,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=14 | 7x+63=14 ; x+9=2 ; x=2-9 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 906+237 | round:910+237=1147 ; adjust:1147-4=1143 ; sum=1143 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 1, 8, 0 | [0,3,1,8,4] ; [0,1,3,8,4] ; [0,1,3,8,4] ; [0,1,3,4,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,2) | R:(0,2) ; D:(1,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 991+980 | d2:1+0+0=1→w1,c0 ; d1:9+8+0=17→w7,c1 ; d0:9+9+1=19→w9,c1 ; sum=1971 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 3, 1, 6, 0 | [3,5,1,6,0] ; [1,3,5,6,0] ; [1,3,5,6,0] ; [0,1,3,5,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 204+318 | d2:4+8+0=12→w2,c1 ; d1:0+1+1=2→w2,c0 ; d0:2+3+0=5→w5,c0 ; sum=522 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-32=-72 | 8x-32=-72 ; x=(-72--32)/8 ; x=-40/8 ; x=-5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 138+323 | p100:100+300=400 ; p10:30+20=50 ; p1:8+3=11 ; sum=400+50+11=461 |
base_conversion | base_conversion:via-binary | n=121,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:1321 |
list_summation | list_summation:right-to-left | 1, 1, 7, 7 | 7+7=14 ; 1+14=15 ; 1+15=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=-42 | 7x-7=-42 ; 7x=-35 ; x=-5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-112 | 8x-48=-112 ; 8x=-64 ; x=-8 |
base_conversion | base_conversion:via-binary | n=88,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1011000 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 0, 8, 2 | [3,8,0,7,2] ; [8,3,0,7,2] ; [8,7,0,3,2] ; [2,7,0,3,8] ; [7,2,0,3,8] ; [7,3,0,2,8] ; [2,3,0,7,8] ; [3,2,0,7,8] ; [0,2,3,7,8] ; [2,0,3,7,8] ; [0,2,3,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=6 | 2x+6=6 ; x+3=3 ; x=3-3 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 161+515 | p100:100+500=600 ; p10:60+10=70 ; p1:1+5=6 ; sum=600+70+6=676 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 1, 2, 4 | [3,6,1,2,4] ; [1,3,6,2,4] ; [1,2,3,6,4] ; [1,2,3,4,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 594+159 | p100:500+100=600 ; p10:90+50=140 ; p1:4+9=13 ; sum=600+140+13=753 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-10=5 | 5x-10=5 ; x+-2=1 ; x=1--2 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 8, 4, 9, 5 | [6,9,4,8,5] ; [9,6,4,8,5] ; [9,8,4,6,5] ; [5,8,4,6,9] ; [8,5,4,6,9] ; [8,6,4,5,9] ; [5,6,4,8,9] ; [6,5,4,8,9] ; [4,5,6,8,9] ; [5,4,6,8,9] ; [4,5,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 544+855 | d2:4+5+0=9→w9,c0 ; d1:4+5+0=9→w9,c0 ; d0:5+8+0=13→w3,c1 ; sum=1399 |
base_conversion | base_conversion:via-binary | n=11,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:3 ; OUT:13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 704+118 | p100:700+100=800 ; p10:0+10=10 ; p1:4+8=12 ; sum=800+10+12=822 |
multidigit_addition | multidigit_addition:right-to-left-carry | 192+858 | d2:2+8+0=10→w0,c1 ; d1:9+5+1=15→w5,c1 ; d0:1+8+1=10→w0,c1 ; sum=1050 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=-48 | 6x+0=-48 ; 6x=-48 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=162,base=16 | DIV:162/16=10,r:2 ; DIV:10/16=0,r:10 ; OUT:A2 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 1, 5, 8, 6 | [0,1,5,8,6] ; [0,1,5,8,6] ; [0,1,5,8,6] ; [0,1,5,6,8] |
base_conversion | base_conversion:via-binary | n=1,base=8 | BINLEN:1 ; CHUNK:0:1 ; OUT:1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 381+459 | p100:300+400=700 ; p10:80+50=130 ; p1:1+9=10 ; sum=700+130+10=840 |
multidigit_addition | multidigit_addition:left-to-right-partials | 862+522 | p100:800+500=1300 ; p10:60+20=80 ; p1:2+2=4 ; sum=1300+80+4=1384 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 5, 0, 3 | [6,1,5,0,3] ; [6,3,5,0,1] ; [1,3,5,0,6] ; [5,3,1,0,6] ; [0,3,1,5,6] ; [3,0,1,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 6, 9, 7, 4 | 6+9=15 ; 7+4=11 ; 15+11=26 |
base_conversion | base_conversion:via-binary | n=90,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1011010 |
list_summation | list_summation:pairwise | 5, 2, 8, 6 | 5+2=7 ; 8+6=14 ; 7+14=21 |
base_conversion | base_conversion:via-binary | n=128,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:200 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:left-to-right | 1, 6, 2, 9 | 1+6=7 ; 7+2=9 ; 9+9=18 |
base_conversion | base_conversion:via-binary | n=84,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1110 |
list_summation | list_summation:pairwise | 4, 7, 7, 7 | 4+7=11 ; 7+7=14 ; 11+14=25 |
list_summation | list_summation:left-to-right | 7, 6, 8, 1 | 7+6=13 ; 13+8=21 ; 21+1=22 |
base_conversion | base_conversion:repeated-division | n=107,base=8 | DIV:107/8=13,r:3 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:153 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-32=-8 | 8x-32=-8 ; 8x=24 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 206+371 | p100:200+300=500 ; p10:0+70=70 ; p1:6+1=7 ; sum=500+70+7=577 |
multidigit_addition | multidigit_addition:left-to-right-partials | 914+359 | p100:900+300=1200 ; p10:10+50=60 ; p1:4+9=13 ; sum=1200+60+13=1273 |
multidigit_addition | multidigit_addition:right-to-left-carry | 253+378 | d2:3+8+0=11→w1,c1 ; d1:5+7+1=13→w3,c1 ; d0:2+3+1=6→w6,c0 ; sum=631 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=30 | 3x+15=30 ; x+5=10 ; x=10-5 ; x=5 |
base_conversion | base_conversion:repeated-division | n=26,base=4 | DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:122 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 0, 6, 9 | [0,3,4,6,9] ; [0,3,4,6,9] ; [0,3,4,6,9] ; [0,3,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
base_conversion | base_conversion:repeated-division | n=61,base=16 | DIV:61/16=3,r:13 ; DIV:3/16=0,r:3 ; OUT:3D |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 1, 6, 8, 5 | [3,8,6,1,5] ; [8,3,6,1,5] ; [8,5,6,1,3] ; [3,5,6,1,8] ; [6,5,3,1,8] ; [1,5,3,6,8] ; [5,1,3,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8] |
list_summation | list_summation:left-to-right | 1, 7, 9, 7 | 1+7=8 ; 8+9=17 ; 17+7=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=-10 | 5x+5=-10 ; 5x=-15 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,3) | R:(2,3) ; D:(3,3) ; D:(4,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 5, 6, 0, 8 | [5,9,6,0,8] ; [5,9,0,6,8] ; [0,5,6,9,8] ; [0,5,6,8,9] |
base_conversion | base_conversion:repeated-division | n=215,base=2 | DIV:215/2=107,r:1 ; DIV:107/2=53,r:1 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; 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:11010111 |
list_summation | list_summation:left-to-right | 5, 8, 3, 7 | 5+8=13 ; 13+3=16 ; 16+7=23 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-9=-27 | 9x-9=-27 ; x+-1=-3 ; x=-3--1 ; x=-2 |
base_conversion | base_conversion:repeated-division | n=202,base=8 | DIV:202/8=25,r:2 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:312 |
base_conversion | base_conversion:via-binary | n=242,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:2 ; OUT:362 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=-3 | 3x+9=-3 ; x+3=-1 ; x=-1-3 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=-30 | 6x+6=-30 ; x+1=-5 ; x=-5-1 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 565+982 | d2:5+2+0=7→w7,c0 ; d1:6+8+0=14→w4,c1 ; d0:5+9+1=15→w5,c1 ; sum=1547 |
base_conversion | base_conversion:repeated-division | n=74,base=16 | DIV:74/16=4,r:10 ; DIV:4/16=0,r:4 ; OUT:4A |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
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) |
list_summation | list_summation:left-to-right | 9, 3, 3, 8 | 9+3=12 ; 12+3=15 ; 15+8=23 |
base_conversion | base_conversion:decomposition | n=139,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:2023 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=60 | 5x+35=60 ; x=(60-35)/5 ; x=25/5 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=-84 | 6x-42=-84 ; x=(-84--42)/6 ; x=-42/6 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 1, 7, 6 | [1,5,2,7,6] ; [1,2,5,7,6] ; [1,2,5,7,6] ; [1,2,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 460+471 | p100:400+400=800 ; p10:60+70=130 ; p1:0+1=1 ; sum=800+130+1=931 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 1, 5, 8 | [2,7,1,5,8] ; [2,1,7,5,8] ; [2,1,5,7,8] ; [1,2,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 837+665 | p100:800+600=1400 ; p10:30+60=90 ; p1:7+5=12 ; sum=1400+90+12=1502 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 8, 2, 9 | [0,1,8,2,9] ; [0,1,2,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 2, 0, 9, 8 | [1,9,0,2,8] ; [9,1,0,2,8] ; [9,8,0,2,1] ; [1,8,0,2,9] ; [8,1,0,2,9] ; [8,2,0,1,9] ; [1,2,0,8,9] ; [2,1,0,8,9] ; [0,1,2,8,9] ; [1,0,2,8,9] ; [0,1,2,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 178+375 | d2:8+5+0=13→w3,c1 ; d1:7+7+1=15→w5,c1 ; d0:1+3+1=5→w5,c0 ; sum=553 |
multidigit_addition | multidigit_addition:rounding-decomposition | 120+563 | round:120+563=683 ; adjust:683-0=683 ; sum=683 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 0, 8, 1 | [5,8,0,6,1] ; [8,5,0,6,1] ; [8,6,0,5,1] ; [1,6,0,5,8] ; [6,1,0,5,8] ; [6,5,0,1,8] ; [1,5,0,6,8] ; [5,1,0,6,8] ; [0,1,5,6,8] ; [1,0,5,6,8] ; [0,1,5,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-96 | 8x-48=-96 ; x+-6=-12 ; x=-12--6 ; x=-6 |
list_summation | list_summation:left-to-right | 5, 1, 6, 9 | 5+1=6 ; 6+6=12 ; 12+9=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+35=35 | 7x+35=35 ; x+5=5 ; x=5-5 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 699+520 | d2:9+0+0=9→w9,c0 ; d1:9+2+0=11→w1,c1 ; d0:6+5+1=12→w2,c1 ; sum=1219 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=3 | 3x-15=3 ; 3x=18 ; x=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 7, 2, 4 | [6,8,7,2,4] ; [6,7,8,2,4] ; [6,7,2,8,4] ; [6,7,2,4,8] ; [6,2,7,4,8] ; [6,2,4,7,8] ; [2,6,4,7,8] ; [2,4,6,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 7, 3, 8, 1 | [2,7,3,8,1] ; [2,3,7,8,1] ; [2,3,7,8,1] ; [1,2,3,7,8] |
list_summation | list_summation:left-to-right | 8, 5, 1, 4 | 8+5=13 ; 13+1=14 ; 14+4=18 |
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