task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 339+659 | p100:300+600=900 ; p10:30+50=80 ; p1:9+9=18 ; sum=900+80+18=998 |
list_summation | list_summation:right-to-left | 7, 9, 6, 1 | 6+1=7 ; 9+7=16 ; 7+16=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+14=-35 | 7x+14=-35 ; x=(-35-14)/7 ; x=-49/7 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 1, 9, 4, 6 | 4+6=10 ; 9+10=19 ; 1+19=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=65 | 5x+20=65 ; x=(65-20)/5 ; x=45/5 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-56=-105 | 7x-56=-105 ; 7x=-49 ; x=-7 |
base_conversion | base_conversion:repeated-division | n=171,base=8 | DIV:171/8=21,r:3 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:253 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,3) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:decomposition | n=42,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:101010 |
base_conversion | base_conversion:repeated-division | n=91,base=16 | DIV:91/16=5,r:11 ; DIV:5/16=0,r:5 ; OUT:5B |
multidigit_addition | multidigit_addition:rounding-decomposition | 776+143 | round:780+143=923 ; adjust:923-4=919 ; sum=919 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 6, 5, 9 | [0,1,5,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 5, 2, 8 | [3,4,5,2,8] ; [3,4,5,2,8] ; [2,3,4,5,8] ; [2,3,4,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 5, 3, 8 | [2,4,5,3,8] ; [2,3,5,4,8] ; [2,3,4,5,8] ; [2,3,4,5,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=45,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; OUT:231 |
multidigit_addition | multidigit_addition:rounding-decomposition | 900+964 | round:900+964=1864 ; adjust:1864-0=1864 ; sum=1864 |
list_summation | list_summation:right-to-left | 0, 0, 2, 5 | 2+5=7 ; 0+7=7 ; 0+7=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 7, 3, 4, 5 | 4+5=9 ; 3+9=12 ; 7+12=19 |
list_summation | list_summation:right-to-left | 3, 4, 3, 0 | 3+0=3 ; 4+3=7 ; 3+7=10 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 3, 6, 1 | [8,9,3,6,1] ; [3,6,8,9,1] ; [1,3,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 551+159 | d2:1+9+0=10→w0,c1 ; d1:5+5+1=11→w1,c1 ; d0:5+1+1=7→w7,c0 ; sum=710 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,4) | D:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=6 | 2x-2=6 ; 2x=8 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(1,4) | D:(1,3) ; R:(1,4) |
base_conversion | base_conversion:via-binary | n=220,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:12 ; OUT:DC |
multidigit_addition | multidigit_addition:right-to-left-carry | 559+962 | d2:9+2+0=11→w1,c1 ; d1:5+6+1=12→w2,c1 ; d0:5+9+1=15→w5,c1 ; sum=1521 |
list_summation | list_summation:pairwise | 2, 2, 4, 4 | 2+2=4 ; 4+4=8 ; 4+8=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 685+505 | round:690+505=1195 ; adjust:1195-5=1190 ; sum=1190 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 9, 2, 3 | [2,8,9,4,3] ; [2,3,9,4,8] ; [2,3,4,9,8] ; [2,3,4,8,9] |
list_summation | list_summation:left-to-right | 8, 7, 9, 3 | 8+7=15 ; 15+9=24 ; 24+3=27 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 6, 8, 1 | [2,5,6,8,1] ; [2,5,6,8,1] ; [2,5,6,8,1] ; [1,2,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=-72 | 8x-8=-72 ; x=(-72--8)/8 ; x=-64/8 ; x=-8 |
base_conversion | base_conversion:decomposition | n=215,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:7*8^0=7 ; OUT:327 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 8, 3, 9 | [5,9,8,3,6] ; [9,5,8,3,6] ; [9,6,8,3,5] ; [5,6,8,3,9] ; [8,6,5,3,9] ; [3,6,5,8,9] ; [6,3,5,8,9] ; [5,3,6,8,9] ; [3,5,6,8,9] |
list_summation | list_summation:left-to-right | 1, 9, 6, 9 | 1+9=10 ; 10+6=16 ; 16+9=25 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 1, 9, 7 | [2,5,1,9,7] ; [1,2,5,9,7] ; [1,2,5,9,7] ; [1,2,5,7,9] |
base_conversion | base_conversion:via-binary | n=214,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:3112 |
list_summation | list_summation:pairwise | 1, 4, 7, 7 | 1+4=5 ; 7+7=14 ; 5+14=19 |
list_summation | list_summation:right-to-left | 0, 9, 5, 4 | 5+4=9 ; 9+9=18 ; 0+18=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-42=-42 | 7x-42=-42 ; x=(-42--42)/7 ; x=0/7 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=32,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:200 |
multidigit_addition | multidigit_addition:left-to-right-partials | 332+790 | p100:300+700=1000 ; p10:30+90=120 ; p1:2+0=2 ; sum=1000+120+2=1122 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 6, 2, 4, 9 | [2,6,8,4,9] ; [2,4,8,6,9] ; [2,4,6,8,9] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 294+393 | p100:200+300=500 ; p10:90+90=180 ; p1:4+3=7 ; sum=500+180+7=687 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 0, 1, 7 | [9,7,0,1,5] ; [5,7,0,1,9] ; [7,5,0,1,9] ; [1,5,0,7,9] ; [5,1,0,7,9] ; [0,1,5,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
list_summation | list_summation:left-to-right | 6, 9, 2, 7 | 6+9=15 ; 15+2=17 ; 17+7=24 |
base_conversion | base_conversion:repeated-division | n=179,base=4 | DIV:179/4=44,r:3 ; DIV:44/4=11,r:0 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2303 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+12=3 | 3x+12=3 ; x+4=1 ; x=1-4 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=152,base=2 | DIV:152/2=76,r:0 ; DIV:76/2=38,r:0 ; 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:10011000 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 1, 9, 3, 6 | [0,6,9,3,1] ; [9,6,0,3,1] ; [1,6,0,3,9] ; [6,1,0,3,9] ; [6,3,0,1,9] ; [1,3,0,6,9] ; [3,1,0,6,9] ; [0,1,3,6,9] ; [1,0,3,6,9] ; [0,1,3,6,9] |
base_conversion | base_conversion:repeated-division | n=113,base=16 | DIV:113/16=7,r:1 ; DIV:7/16=0,r:7 ; OUT:71 |
multidigit_addition | multidigit_addition:right-to-left-carry | 278+343 | d2:8+3+0=11→w1,c1 ; d1:7+4+1=12→w2,c1 ; d0:2+3+1=6→w6,c0 ; sum=621 |
multidigit_addition | multidigit_addition:left-to-right-partials | 221+946 | p100:200+900=1100 ; p10:20+40=60 ; p1:1+6=7 ; sum=1100+60+7=1167 |
base_conversion | base_conversion:via-binary | n=161,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2201 |
list_summation | list_summation:left-to-right | 4, 9, 5, 3 | 4+9=13 ; 13+5=18 ; 18+3=21 |
list_summation | list_summation:left-to-right | 6, 6, 6, 7 | 6+6=12 ; 12+6=18 ; 18+7=25 |
list_summation | list_summation:right-to-left | 5, 2, 6, 4 | 6+4=10 ; 2+10=12 ; 5+12=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 339+995 | p100:300+900=1200 ; p10:30+90=120 ; p1:9+5=14 ; sum=1200+120+14=1334 |
multidigit_addition | multidigit_addition:rounding-decomposition | 558+658 | round:560+658=1218 ; adjust:1218-2=1216 ; sum=1216 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 6, 3, 4 | [1,8,6,3,4] ; [1,6,8,3,4] ; [1,6,3,8,4] ; [1,6,3,4,8] ; [1,3,6,4,8] ; [1,3,4,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 5, 1, 6 | [0,3,5,1,6] ; [0,1,5,3,6] ; [0,1,3,5,6] ; [0,1,3,5,6] |
list_summation | list_summation:left-to-right | 8, 3, 9, 3 | 8+3=11 ; 11+9=20 ; 20+3=23 |
base_conversion | base_conversion:via-binary | n=18,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; OUT:12 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 5, 1, 2 | [0,6,5,1,2] ; [0,5,6,1,2] ; [0,1,5,6,2] ; [0,1,2,5,6] |
base_conversion | base_conversion:decomposition | n=165,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:5*8^0=5 ; OUT:245 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 8, 3, 1 | [0,9,8,3,1] ; [0,8,9,3,1] ; [0,3,8,9,1] ; [0,1,3,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
list_summation | list_summation:left-to-right | 3, 7, 3, 0 | 3+7=10 ; 10+3=13 ; 13+0=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(5,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=18 | 3x+15=18 ; x+5=6 ; x=6-5 ; x=1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 0, 4, 5, 2 | [0,8,4,5,2] ; [0,4,8,5,2] ; [0,4,5,8,2] ; [0,2,4,5,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 7, 5, 0 | [4,9,7,5,0] ; [4,7,9,5,0] ; [4,5,7,9,0] ; [0,4,5,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 0, 4, 2 | [0,6,5,4,2] ; [0,2,5,4,6] ; [0,2,4,5,6] ; [0,2,4,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
base_conversion | base_conversion:via-binary | n=118,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1110110 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=49 | 7x+0=49 ; x=(49-0)/7 ; x=49/7 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=49 | 7x-7=49 ; 7x=56 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=12 | 4x-12=12 ; x=(12--12)/4 ; x=24/4 ; x=6 |
base_conversion | base_conversion:decomposition | n=63,base=8 | TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:77 |
list_summation | list_summation:pairwise | 6, 0, 4, 8 | 6+0=6 ; 4+8=12 ; 6+12=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 873+892 | p100:800+800=1600 ; p10:70+90=160 ; p1:3+2=5 ; sum=1600+160+5=1765 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=35 | 5x+20=35 ; 5x=15 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 683+714 | round:690+714=1404 ; adjust:1404-7=1397 ; sum=1397 |
base_conversion | base_conversion:decomposition | n=255,base=8 | TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:377 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 7, 8, 3 | [5,9,7,8,3] ; [5,7,9,8,3] ; [5,7,8,9,3] ; [3,5,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-2=-20 | 2x-2=-20 ; x+-1=-10 ; x=-10--1 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-72 | 9x-81=-72 ; 9x=9 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 261+629 | p100:200+600=800 ; p10:60+20=80 ; p1:1+9=10 ; sum=800+80+10=890 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 595+476 | round:600+476=1076 ; adjust:1076-5=1071 ; sum=1071 |
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