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 | 9, 4, 3, 1 | 9+4=13 ; 3+1=4 ; 13+4=17 |
list_summation | list_summation:right-to-left | 1, 0, 1, 9 | 1+9=10 ; 0+10=10 ; 1+10=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 149+522 | p100:100+500=600 ; p10:40+20=60 ; p1:9+2=11 ; sum=600+60+11=671 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 9, 1, 6 | [1,2,9,3,6] ; [1,2,9,3,6] ; [1,2,3,9,6] ; [1,2,3,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 6, 8, 1, 2 | 1+2=3 ; 8+3=11 ; 6+11=17 |
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:pairwise | 6, 2, 3, 4 | 6+2=8 ; 3+4=7 ; 8+7=15 |
base_conversion | base_conversion:via-binary | n=37,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:211 |
base_conversion | base_conversion:repeated-division | n=46,base=4 | DIV:46/4=11,r:2 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:232 |
base_conversion | base_conversion:via-binary | n=240,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:0 ; OUT:360 |
base_conversion | base_conversion:via-binary | n=224,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:0 ; OUT:E0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 106+429 | round:110+429=539 ; adjust:539-4=535 ; sum=535 |
multidigit_addition | multidigit_addition:left-to-right-partials | 879+572 | p100:800+500=1300 ; p10:70+70=140 ; p1:9+2=11 ; sum=1300+140+11=1451 |
list_summation | list_summation:right-to-left | 0, 3, 9, 0 | 9+0=9 ; 3+9=12 ; 0+12=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 7, 5, 6 | [8,1,7,5,6] ; [8,6,7,5,1] ; [1,6,7,5,8] ; [7,6,1,5,8] ; [5,6,1,7,8] ; [6,5,1,7,8] ; [1,5,6,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
base_conversion | base_conversion:via-binary | n=105,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:1221 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=35 | 7x+28=35 ; 7x=7 ; x=1 |
list_summation | list_summation:pairwise | 3, 6, 2, 0 | 3+6=9 ; 2+0=2 ; 9+2=11 |
list_summation | list_summation:pairwise | 7, 1, 7, 1 | 7+1=8 ; 7+1=8 ; 8+8=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 841+590 | d2:1+0+0=1→w1,c0 ; d1:4+9+0=13→w3,c1 ; d0:8+5+1=14→w4,c1 ; sum=1431 |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=18 | 6x-30=18 ; x+-5=3 ; x=3--5 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 391+539 | d2:1+9+0=10→w0,c1 ; d1:9+3+1=13→w3,c1 ; d0:3+5+1=9→w9,c0 ; sum=930 |
list_summation | list_summation:right-to-left | 7, 5, 6, 7 | 6+7=13 ; 5+13=18 ; 7+18=25 |
base_conversion | base_conversion:repeated-division | n=210,base=8 | DIV:210/8=26,r:2 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:322 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 2, 4, 8, 7 | [2,6,4,8,7] ; [2,4,6,8,7] ; [2,4,6,8,7] ; [2,4,6,7,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 2, 4, 7 | [1,2,6,4,7] ; [1,2,4,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+21=9 | 3x+21=9 ; 3x=-12 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 0, 8, 7 | [1,3,0,8,7] ; [0,1,3,8,7] ; [0,1,3,8,7] ; [0,1,3,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-26 | 2x-8=-26 ; x+-4=-13 ; x=-13--4 ; x=-9 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 1, 2, 7, 0 | [8,7,2,1,0] ; [0,7,2,1,8] ; [7,0,2,1,8] ; [7,1,2,0,8] ; [0,1,2,7,8] ; [2,1,0,7,8] ; [0,1,2,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 5, 4, 9 | [1,7,5,4,9] ; [1,4,5,7,9] ; [1,4,5,7,9] ; [1,4,5,7,9] |
list_summation | list_summation:right-to-left | 2, 9, 8, 7 | 8+7=15 ; 9+15=24 ; 2+24=26 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 8, 7, 6 | [4,9,8,7,6] ; [4,9,7,8,6] ; [4,7,8,9,6] ; [4,6,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 5, 3, 8 | [0,5,6,3,8] ; [0,5,3,6,8] ; [0,3,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-20=-52 | 4x-20=-52 ; 4x=-32 ; x=-8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=-7 | 7x+28=-7 ; x=(-7-28)/7 ; x=-35/7 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 3, 0, 9 | [1,3,8,0,9] ; [1,3,0,8,9] ; [1,0,3,8,9] ; [0,1,3,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 520+164 | d2:0+4+0=4→w4,c0 ; d1:2+6+0=8→w8,c0 ; d0:5+1+0=6→w6,c0 ; sum=684 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 3, 6, 5 | [8,9,3,6,5] ; [3,8,9,6,5] ; [3,6,8,9,5] ; [3,5,6,8,9] |
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) |
base_conversion | base_conversion:repeated-division | n=118,base=4 | DIV:118/4=29,r:2 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1312 |
list_summation | list_summation:right-to-left | 9, 9, 9, 9 | 9+9=18 ; 9+18=27 ; 9+27=36 |
multidigit_addition | multidigit_addition:rounding-decomposition | 486+785 | round:490+785=1275 ; adjust:1275-4=1271 ; sum=1271 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 0, 9, 6 | [3,7,0,9,6] ; [3,0,7,9,6] ; [3,0,7,6,9] ; [0,3,7,6,9] ; [0,3,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 171+998 | p100:100+900=1000 ; p10:70+90=160 ; p1:1+8=9 ; sum=1000+160+9=1169 |
base_conversion | base_conversion:via-binary | n=104,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1101000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 2, 4, 8, 1 | [2,7,4,8,1] ; [2,4,7,8,1] ; [2,4,7,1,8] ; [2,4,1,7,8] ; [2,1,4,7,8] ; [1,2,4,7,8] |
list_summation | list_summation:left-to-right | 7, 8, 8, 8 | 7+8=15 ; 15+8=23 ; 23+8=31 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=24 | 4x-4=24 ; x+-1=6 ; x=6--1 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 338+181 | p100:300+100=400 ; p10:30+80=110 ; p1:8+1=9 ; sum=400+110+9=519 |
list_summation | list_summation:left-to-right | 4, 2, 9, 0 | 4+2=6 ; 6+9=15 ; 15+0=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-32=-72 | 8x-32=-72 ; 8x=-40 ; x=-5 |
base_conversion | base_conversion:decomposition | n=62,base=16 | TERM:3*16^1=48 ; TERM:14*16^0=14 ; OUT:3E |
base_conversion | base_conversion:repeated-division | n=131,base=16 | DIV:131/16=8,r:3 ; DIV:8/16=0,r:8 ; OUT:83 |
base_conversion | base_conversion:repeated-division | n=38,base=8 | DIV:38/8=4,r:6 ; DIV:4/8=0,r:4 ; OUT:46 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=0 | 7x+7=0 ; 7x=-7 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=222,base=8 | DIV:222/8=27,r:6 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:336 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 760+853 | p100:700+800=1500 ; p10:60+50=110 ; p1:0+3=3 ; sum=1500+110+3=1613 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=-35 | 7x-7=-35 ; x+-1=-5 ; x=-5--1 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 9, 6, 6, 3 | 6+3=9 ; 6+9=15 ; 9+15=24 |
base_conversion | base_conversion:repeated-division | n=82,base=4 | DIV:82/4=20,r:2 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1102 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 0, 6, 4 | [7,0,8,6,4] ; [7,0,6,8,4] ; [7,0,6,4,8] ; [0,7,6,4,8] ; [0,6,7,4,8] ; [0,6,4,7,8] ; [0,4,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=12 | 4x+28=12 ; x=(12-28)/4 ; x=-16/4 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=-10 | 2x-6=-10 ; x+-3=-5 ; x=-5--3 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(4,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 922+654 | p100:900+600=1500 ; p10:20+50=70 ; p1:2+4=6 ; sum=1500+70+6=1576 |
multidigit_addition | multidigit_addition:rounding-decomposition | 586+357 | round:590+357=947 ; adjust:947-4=943 ; sum=943 |
list_summation | list_summation:pairwise | 2, 2, 6, 2 | 2+2=4 ; 6+2=8 ; 4+8=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 876+462 | p100:800+400=1200 ; p10:70+60=130 ; p1:6+2=8 ; sum=1200+130+8=1338 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=-15 | 5x+20=-15 ; x+4=-3 ; x=-3-4 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 6, 4, 2 | [8,9,6,4,2] ; [8,9,4,6,2] ; [4,6,8,9,2] ; [2,4,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=0 | 3x-24=0 ; x+-8=0 ; x=0--8 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(4,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=136,base=8 | DIV:136/8=17,r:0 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:210 |
list_summation | list_summation:left-to-right | 9, 2, 2, 1 | 9+2=11 ; 11+2=13 ; 13+1=14 |
base_conversion | base_conversion:repeated-division | n=100,base=8 | DIV:100/8=12,r:4 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:144 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-15 | 3x-27=-15 ; x+-9=-5 ; x=-5--9 ; x=4 |
list_summation | list_summation:right-to-left | 5, 0, 8, 6 | 8+6=14 ; 0+14=14 ; 5+14=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 876+896 | round:880+896=1776 ; adjust:1776-4=1772 ; sum=1772 |
list_summation | list_summation:pairwise | 9, 5, 7, 9 | 9+5=14 ; 7+9=16 ; 14+16=30 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=55 | 5x+40=55 ; x=(55-40)/5 ; x=15/5 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 107+163 | round:110+163=273 ; adjust:273-3=270 ; sum=270 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 370+469 | round:370+469=839 ; adjust:839-0=839 ; sum=839 |
base_conversion | base_conversion:decomposition | n=29,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11101 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-25 | 5x-45=-25 ; x=(-25--45)/5 ; x=20/5 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 535+758 | round:540+758=1298 ; adjust:1298-5=1293 ; sum=1293 |
base_conversion | base_conversion:repeated-division | n=39,base=4 | DIV:39/4=9,r:3 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:213 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 4, 3, 7 | [8,9,4,3,7] ; [8,9,3,4,7] ; [3,4,8,9,7] ; [3,4,7,8,9] |
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