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 | 952+472 | round:960+472=1432 ; adjust:1432-8=1424 ; sum=1424 |
multidigit_addition | multidigit_addition:left-to-right-partials | 297+383 | p100:200+300=500 ; p10:90+80=170 ; p1:7+3=10 ; sum=500+170+10=680 |
multidigit_addition | multidigit_addition:rounding-decomposition | 287+255 | round:290+255=545 ; adjust:545-3=542 ; sum=542 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=-88 | 8x-32=-88 ; x+-4=-11 ; x=-11--4 ; x=-7 |
base_conversion | base_conversion:decomposition | n=158,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:6*8^0=6 ; OUT:236 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 1, 5, 9, 3 | [1,7,5,9,3] ; [1,5,7,9,3] ; [1,3,5,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 7, 0, 4 | [3,4,7,0,2] ; [7,4,3,0,2] ; [2,4,3,0,7] ; [4,2,3,0,7] ; [0,2,3,4,7] ; [3,2,0,4,7] ; [0,2,3,4,7] ; [2,0,3,4,7] ; [0,2,3,4,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=0 | 9x-9=0 ; 9x=9 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=55 | 5x+30=55 ; x+6=11 ; x=11-6 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 7, 8, 3 | [6,7,9,8,3] ; [6,7,8,9,3] ; [6,7,8,3,9] ; [6,7,3,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+45=126 | 9x+45=126 ; x=(126-45)/9 ; x=81/9 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=12 | 2x+2=12 ; x+1=6 ; x=6-1 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 7, 3, 2, 1 | [5,7,3,2,1] ; [3,5,7,2,1] ; [2,3,5,7,1] ; [1,2,3,5,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 5, 6, 0, 8 | [3,8,6,0,5] ; [8,3,6,0,5] ; [8,5,6,0,3] ; [3,5,6,0,8] ; [6,5,3,0,8] ; [0,5,3,6,8] ; [5,0,3,6,8] ; [3,0,5,6,8] ; [0,3,5,6,8] |
base_conversion | base_conversion:via-binary | n=182,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:6 ; OUT:B6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 711+461 | round:720+461=1181 ; adjust:1181-9=1172 ; sum=1172 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+21=-35 | 7x+21=-35 ; x+3=-5 ; x=-5-3 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; R:(0,4) ; D:(1,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 3, 2, 0 | [6,7,3,2,0] ; [3,6,7,2,0] ; [2,3,6,7,0] ; [0,2,3,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 485+504 | round:490+504=994 ; adjust:994-5=989 ; sum=989 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 3, 1, 7 | [4,3,6,1,7] ; [4,3,1,6,7] ; [3,4,1,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
list_summation | list_summation:pairwise | 4, 9, 6, 8 | 4+9=13 ; 6+8=14 ; 13+14=27 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-26 | 2x-12=-26 ; x+-6=-13 ; x=-13--6 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 7, 3, 8, 6 | [3,7,9,8,6] ; [3,6,9,8,7] ; [3,6,7,8,9] ; [3,6,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) |
base_conversion | base_conversion:repeated-division | n=95,base=2 | DIV:95/2=47,r:1 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; 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:1011111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 111+144 | d2:1+4+0=5→w5,c0 ; d1:1+4+0=5→w5,c0 ; d0:1+1+0=2→w2,c0 ; sum=255 |
list_summation | list_summation:pairwise | 7, 8, 6, 9 | 7+8=15 ; 6+9=15 ; 15+15=30 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-4=-6 | 2x-4=-6 ; 2x=-2 ; x=-1 |
base_conversion | base_conversion:decomposition | n=71,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:7*8^0=7 ; OUT:107 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-8=-12 | 4x-8=-12 ; x+-2=-3 ; x=-3--2 ; x=-1 |
list_summation | list_summation:pairwise | 7, 9, 9, 8 | 7+9=16 ; 9+8=17 ; 16+17=33 |
multidigit_addition | multidigit_addition:left-to-right-partials | 407+162 | p100:400+100=500 ; p10:0+60=60 ; p1:7+2=9 ; sum=500+60+9=569 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=-80 | 8x-56=-80 ; x=(-80--56)/8 ; x=-24/8 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=15,base=2 | DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111 |
list_summation | list_summation:pairwise | 6, 4, 8, 4 | 6+4=10 ; 8+4=12 ; 10+12=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 181+148 | p100:100+100=200 ; p10:80+40=120 ; p1:1+8=9 ; sum=200+120+9=329 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=10 | 5x-15=10 ; x=(10--15)/5 ; x=25/5 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 230+359 | round:230+359=589 ; adjust:589-0=589 ; sum=589 |
list_summation | list_summation:right-to-left | 5, 5, 1, 6 | 1+6=7 ; 5+7=12 ; 5+12=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-49 | 7x-42=-49 ; x+-6=-7 ; x=-7--6 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
list_summation | list_summation:left-to-right | 9, 5, 1, 5 | 9+5=14 ; 14+1=15 ; 15+5=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 6, 4, 7 | [2,3,6,4,7] ; [2,3,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 4, 2, 6 | [0,7,4,2,6] ; [0,2,4,7,6] ; [0,2,4,7,6] ; [0,2,4,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 8, 4, 9, 2 | [0,8,4,9,2] ; [0,4,8,9,2] ; [0,4,8,9,2] ; [0,2,4,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=-6 | 2x-12=-6 ; 2x=6 ; x=3 |
base_conversion | base_conversion:via-binary | n=254,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11111110 |
multidigit_addition | multidigit_addition:rounding-decomposition | 534+768 | round:540+768=1308 ; adjust:1308-6=1302 ; sum=1302 |
list_summation | list_summation:left-to-right | 4, 9, 4, 8 | 4+9=13 ; 13+4=17 ; 17+8=25 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=105 | 7x+56=105 ; 7x=49 ; x=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 4, 2, 8, 1 | [9,8,2,4,1] ; [1,8,2,4,9] ; [8,1,2,4,9] ; [8,4,2,1,9] ; [1,4,2,8,9] ; [4,1,2,8,9] ; [2,1,4,8,9] ; [1,2,4,8,9] |
base_conversion | base_conversion:repeated-division | n=166,base=4 | DIV:166/4=41,r:2 ; DIV:41/4=10,r:1 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2212 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 3, 2, 8 | [0,4,3,2,8] ; [0,3,4,2,8] ; [0,2,3,4,8] ; [0,2,3,4,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 152+643 | round:160+643=803 ; adjust:803-8=795 ; sum=795 |
multidigit_addition | multidigit_addition:left-to-right-partials | 474+290 | p100:400+200=600 ; p10:70+90=160 ; p1:4+0=4 ; sum=600+160+4=764 |
multidigit_addition | multidigit_addition:rounding-decomposition | 927+229 | round:930+229=1159 ; adjust:1159-3=1156 ; sum=1156 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-6=-22 | 2x-6=-22 ; x=(-22--6)/2 ; x=-16/2 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 711+378 | d2:1+8+0=9→w9,c0 ; d1:1+7+0=8→w8,c0 ; d0:7+3+0=10→w0,c1 ; sum=1089 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,3) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:decomposition | n=12,base=8 | TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:14 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 1, 3, 6 | [0,8,1,3,6] ; [0,1,3,8,6] ; [0,1,3,6,8] |
base_conversion | base_conversion:decomposition | n=89,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1121 |
base_conversion | base_conversion:decomposition | n=110,base=16 | TERM:6*16^1=96 ; TERM:14*16^0=14 ; OUT:6E |
multidigit_addition | multidigit_addition:rounding-decomposition | 437+748 | round:440+748=1188 ; adjust:1188-3=1185 ; sum=1185 |
list_summation | list_summation:right-to-left | 3, 8, 1, 9 | 1+9=10 ; 8+10=18 ; 3+18=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 484+343 | d2:4+3+0=7→w7,c0 ; d1:8+4+0=12→w2,c1 ; d0:4+3+1=8→w8,c0 ; sum=827 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=-16 | 8x+56=-16 ; x+7=-2 ; x=-2-7 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 885+622 | round:890+622=1512 ; adjust:1512-5=1507 ; sum=1507 |
base_conversion | base_conversion:via-binary | n=71,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:7 ; OUT:47 |
base_conversion | base_conversion:via-binary | n=217,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:9 ; OUT:D9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 471+449 | round:480+449=929 ; adjust:929-9=920 ; sum=920 |
list_summation | list_summation:pairwise | 1, 8, 8, 4 | 1+8=9 ; 8+4=12 ; 9+12=21 |
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) |
list_summation | list_summation:left-to-right | 0, 5, 8, 0 | 0+5=5 ; 5+8=13 ; 13+0=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 880+375 | round:880+375=1255 ; adjust:1255-0=1255 ; sum=1255 |
base_conversion | base_conversion:decomposition | n=147,base=16 | TERM:9*16^1=144 ; TERM:3*16^0=3 ; OUT:93 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+10=45 | 5x+10=45 ; x+2=9 ; x=9-2 ; x=7 |
base_conversion | base_conversion:via-binary | n=27,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:11 ; OUT:1B |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 622+341 | d2:2+1+0=3→w3,c0 ; d1:2+4+0=6→w6,c0 ; d0:6+3+0=9→w9,c0 ; sum=963 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 8, 2, 7, 5 | [4,2,8,7,5] ; [4,2,7,8,5] ; [4,2,7,5,8] ; [2,4,7,5,8] ; [2,4,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=-7 | 7x+56=-7 ; 7x=-63 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=86,base=8 | DIV:86/8=10,r:6 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:126 |
list_summation | list_summation:pairwise | 4, 6, 4, 2 | 4+6=10 ; 4+2=6 ; 10+6=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 5, 7, 6 | [1,2,5,7,6] ; [1,2,5,7,6] ; [1,2,5,7,6] ; [1,2,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 688+786 | d2:8+6+0=14→w4,c1 ; d1:8+8+1=17→w7,c1 ; d0:6+7+1=14→w4,c1 ; sum=1474 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
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