task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=239,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:3233 |
multidigit_addition | multidigit_addition:rounding-decomposition | 341+271 | round:350+271=621 ; adjust:621-9=612 ; sum=612 |
multidigit_addition | multidigit_addition:rounding-decomposition | 261+484 | round:270+484=754 ; adjust:754-9=745 ; sum=745 |
list_summation | list_summation:left-to-right | 2, 0, 4, 7 | 2+0=2 ; 2+4=6 ; 6+7=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-50 | 5x-35=-50 ; x=(-50--35)/5 ; x=-15/5 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=96 | 6x+42=96 ; 6x=54 ; x=9 |
list_summation | list_summation:left-to-right | 5, 8, 1, 4 | 5+8=13 ; 13+1=14 ; 14+4=18 |
base_conversion | base_conversion:repeated-division | n=61,base=8 | DIV:61/8=7,r:5 ; DIV:7/8=0,r:7 ; OUT:75 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=0 | 5x-15=0 ; x=(0--15)/5 ; x=15/5 ; x=3 |
list_summation | list_summation:right-to-left | 4, 4, 8, 3 | 8+3=11 ; 4+11=15 ; 4+15=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 308+838 | d2:8+8+0=16→w6,c1 ; d1:0+3+1=4→w4,c0 ; d0:3+8+0=11→w1,c1 ; sum=1146 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 8, 2, 9 | [1,7,2,8,9] ; [1,2,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 609+260 | p100:600+200=800 ; p10:0+60=60 ; p1:9+0=9 ; sum=800+60+9=869 |
multidigit_addition | multidigit_addition:right-to-left-carry | 361+356 | d2:1+6+0=7→w7,c0 ; d1:6+5+0=11→w1,c1 ; d0:3+3+1=7→w7,c0 ; sum=717 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=12 | 6x-36=12 ; 6x=48 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 6, 2, 0 | [7,3,6,2,0] ; [0,3,6,2,7] ; [6,3,0,2,7] ; [2,3,0,6,7] ; [3,2,0,6,7] ; [0,2,3,6,7] ; [2,0,3,6,7] ; [0,2,3,6,7] |
list_summation | list_summation:right-to-left | 3, 8, 4, 9 | 4+9=13 ; 8+13=21 ; 3+21=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=104 | 8x+64=104 ; 8x=40 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 5, 2, 8, 9 | [5,6,2,8,9] ; [2,5,6,8,9] ; [2,5,6,8,9] ; [2,5,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 586+935 | round:590+935=1525 ; adjust:1525-4=1521 ; sum=1521 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 122+119 | round:130+119=249 ; adjust:249-8=241 ; sum=241 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 1, 7, 9 | [1,2,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,4) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 3, 7, 3, 5 | 3+5=8 ; 7+8=15 ; 3+15=18 |
list_summation | list_summation:pairwise | 7, 0, 2, 6 | 7+0=7 ; 2+6=8 ; 7+8=15 |
base_conversion | base_conversion:repeated-division | n=112,base=2 | 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:1110000 |
list_summation | list_summation:left-to-right | 0, 4, 5, 9 | 0+4=4 ; 4+5=9 ; 9+9=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,5) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=62,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:6 ; OUT:76 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=24 | 2x+18=24 ; x+9=12 ; x=12-9 ; x=3 |
list_summation | list_summation:right-to-left | 1, 4, 1, 5 | 1+5=6 ; 4+6=10 ; 1+10=11 |
base_conversion | base_conversion:repeated-division | n=5,base=4 | DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,5) | D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 4, 9, 9, 8 | 4+9=13 ; 13+9=22 ; 22+8=30 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(2,3) | D:(2,1) ; R:(2,2) ; R:(2,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=80 | 8x+8=80 ; x+1=10 ; x=10-1 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 196+201 | p100:100+200=300 ; p10:90+0=90 ; p1:6+1=7 ; sum=300+90+7=397 |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-45 | 9x-72=-45 ; x+-8=-5 ; x=-5--8 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 3, 1, 9 | [6,8,1,3,9] ; [1,3,6,8,9] |
base_conversion | base_conversion:repeated-division | n=147,base=4 | DIV:147/4=36,r:3 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2103 |
multidigit_addition | multidigit_addition:left-to-right-partials | 642+965 | p100:600+900=1500 ; p10:40+60=100 ; p1:2+5=7 ; sum=1500+100+7=1607 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 6, 9, 7 | [2,5,6,9,7] ; [2,5,6,9,7] ; [2,5,6,9,7] ; [2,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=15 | 3x+6=15 ; x+2=5 ; x=5-2 ; x=3 |
list_summation | list_summation:left-to-right | 3, 5, 1, 7 | 3+5=8 ; 8+1=9 ; 9+7=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 4, 9, 0 | [1,7,4,9,0] ; [1,4,7,9,0] ; [0,1,4,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=12 | 2x+18=12 ; 2x=-6 ; x=-3 |
base_conversion | base_conversion:via-binary | n=250,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:10 ; OUT:FA |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 5, 0, 1, 6 | 1+6=7 ; 0+7=7 ; 5+7=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=4 | 2x+14=4 ; 2x=-10 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 596+705 | round:600+705=1305 ; adjust:1305-4=1301 ; sum=1301 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=-6 | 6x+30=-6 ; x+5=-1 ; x=-1-5 ; x=-6 |
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:down-first | grid=6 ; S=(2,1) ; G=(3,5) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=47,base=16 | TERM:2*16^1=32 ; TERM:15*16^0=15 ; OUT:2F |
multidigit_addition | multidigit_addition:rounding-decomposition | 959+677 | round:960+677=1637 ; adjust:1637-1=1636 ; sum=1636 |
multidigit_addition | multidigit_addition:rounding-decomposition | 601+840 | round:610+840=1450 ; adjust:1450-9=1441 ; sum=1441 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 3, 5, 4 | [0,2,3,5,4] ; [0,2,3,5,4] ; [0,2,3,5,4] ; [0,2,3,4,5] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 0, 6, 4 | [2,0,5,6,4] ; [2,0,5,4,6] ; [0,2,5,4,6] ; [0,2,4,5,6] |
base_conversion | base_conversion:repeated-division | n=129,base=4 | DIV:129/4=32,r:1 ; DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2001 |
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:inverse-ops | 8x-56=0 | 8x-56=0 ; x=(0--56)/8 ; x=56/8 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=2 | 2x+12=2 ; 2x=-10 ; x=-5 |
list_summation | list_summation:left-to-right | 1, 1, 3, 6 | 1+1=2 ; 2+3=5 ; 5+6=11 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 9, 8, 3 | [2,8,9,7,3] ; [9,8,2,7,3] ; [3,8,2,7,9] ; [8,3,2,7,9] ; [8,7,2,3,9] ; [3,7,2,8,9] ; [7,3,2,8,9] ; [2,3,7,8,9] ; [3,2,7,8,9] ; [2,3,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-30 | 5x-45=-30 ; x=(-30--45)/5 ; x=15/5 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 4, 8, 0 | [4,6,7,8,0] ; [0,4,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 983+470 | d2:3+0+0=3→w3,c0 ; d1:8+7+0=15→w5,c1 ; d0:9+4+1=14→w4,c1 ; sum=1453 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=0 | 7x-14=0 ; 7x=14 ; x=2 |
base_conversion | base_conversion:via-binary | n=195,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:303 |
multidigit_addition | multidigit_addition:left-to-right-partials | 437+526 | p100:400+500=900 ; p10:30+20=50 ; p1:7+6=13 ; sum=900+50+13=963 |
multidigit_addition | multidigit_addition:right-to-left-carry | 593+414 | d2:3+4+0=7→w7,c0 ; d1:9+1+0=10→w0,c1 ; d0:5+4+1=10→w0,c1 ; sum=1007 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 6, 2, 3, 5 | [5,6,2,3,9] ; [6,5,2,3,9] ; [3,5,2,6,9] ; [5,3,2,6,9] ; [2,3,5,6,9] ; [3,2,5,6,9] ; [2,3,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 620+236 | round:620+236=856 ; adjust:856-0=856 ; sum=856 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+9=9 | 3x+9=9 ; x+3=3 ; x=3-3 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 418+989 | p100:400+900=1300 ; p10:10+80=90 ; p1:8+9=17 ; sum=1300+90+17=1407 |
base_conversion | base_conversion:repeated-division | n=149,base=8 | DIV:149/8=18,r:5 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:225 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=131,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:2003 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=-21 | 7x+21=-21 ; 7x=-42 ; x=-6 |
list_summation | list_summation:left-to-right | 1, 4, 6, 9 | 1+4=5 ; 5+6=11 ; 11+9=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-3=-3 | 3x-3=-3 ; x+-1=-1 ; x=-1--1 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-16=-28 | 2x-16=-28 ; x+-8=-14 ; x=-14--8 ; x=-6 |
list_summation | list_summation:pairwise | 7, 8, 8, 0 | 7+8=15 ; 8+0=8 ; 15+8=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 410+640 | round:410+640=1050 ; adjust:1050-0=1050 ; sum=1050 |
multidigit_addition | multidigit_addition:right-to-left-carry | 773+921 | d2:3+1+0=4→w4,c0 ; d1:7+2+0=9→w9,c0 ; d0:7+9+0=16→w6,c1 ; sum=1694 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 1, 9, 3 | [5,7,1,9,3] ; [1,5,7,9,3] ; [1,5,7,9,3] ; [1,3,5,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 469+877 | p100:400+800=1200 ; p10:60+70=130 ; p1:9+7=16 ; sum=1200+130+16=1346 |
list_summation | list_summation:right-to-left | 0, 1, 1, 0 | 1+0=1 ; 1+1=2 ; 0+2=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=12 | 6x+42=12 ; x=(12-42)/6 ; x=-30/6 ; x=-5 |
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