task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+20=52 | 4x+20=52 ; x+5=13 ; x=13-5 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=65 | 5x+25=65 ; x=(65-25)/5 ; x=40/5 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 1, 8, 0, 2 | [3,2,8,0,1] ; [8,2,3,0,1] ; [1,2,3,0,8] ; [3,2,1,0,8] ; [0,2,1,3,8] ; [2,0,1,3,8] ; [1,0,2,3,8] ; [0,1,2,3,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 401+159 | p100:400+100=500 ; p10:0+50=50 ; p1:1+9=10 ; sum=500+50+10=560 |
multidigit_addition | multidigit_addition:right-to-left-carry | 353+499 | d2:3+9+0=12→w2,c1 ; d1:5+9+1=15→w5,c1 ; d0:3+4+1=8→w8,c0 ; sum=852 |
multidigit_addition | multidigit_addition:rounding-decomposition | 528+282 | round:530+282=812 ; adjust:812-2=810 ; sum=810 |
multidigit_addition | multidigit_addition:rounding-decomposition | 784+472 | round:790+472=1262 ; adjust:1262-6=1256 ; sum=1256 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=88 | 8x+64=88 ; x=(88-64)/8 ; x=24/8 ; x=3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 362+886 | p100:300+800=1100 ; p10:60+80=140 ; p1:2+6=8 ; sum=1100+140+8=1248 |
list_summation | list_summation:right-to-left | 0, 6, 1, 3 | 1+3=4 ; 6+4=10 ; 0+10=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 109+691 | p100:100+600=700 ; p10:0+90=90 ; p1:9+1=10 ; sum=700+90+10=800 |
base_conversion | base_conversion:via-binary | n=200,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:8 ; OUT:C8 |
list_summation | list_summation:pairwise | 1, 1, 3, 3 | 1+1=2 ; 3+3=6 ; 2+6=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 822+276 | round:830+276=1106 ; adjust:1106-8=1098 ; sum=1098 |
list_summation | list_summation:left-to-right | 6, 1, 9, 4 | 6+1=7 ; 7+9=16 ; 16+4=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 733+880 | d2:3+0+0=3→w3,c0 ; d1:3+8+0=11→w1,c1 ; d0:7+8+1=16→w6,c1 ; sum=1613 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-18=-24 | 3x-18=-24 ; 3x=-6 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 9, 1, 2 | [5,8,9,1,2] ; [5,8,1,9,2] ; [1,5,8,9,2] ; [1,2,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 751+246 | p100:700+200=900 ; p10:50+40=90 ; p1:1+6=7 ; sum=900+90+7=997 |
multidigit_addition | multidigit_addition:left-to-right-partials | 446+466 | p100:400+400=800 ; p10:40+60=100 ; p1:6+6=12 ; sum=800+100+12=912 |
list_summation | list_summation:left-to-right | 2, 6, 3, 0 | 2+6=8 ; 8+3=11 ; 11+0=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+45=50 | 5x+45=50 ; x=(50-45)/5 ; x=5/5 ; x=1 |
base_conversion | base_conversion:decomposition | n=26,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11010 |
multidigit_addition | multidigit_addition:right-to-left-carry | 487+520 | d2:7+0+0=7→w7,c0 ; d1:8+2+0=10→w0,c1 ; d0:4+5+1=10→w0,c1 ; sum=1007 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 3, 0, 6 | [1,2,3,0,6] ; [1,2,0,3,6] ; [1,0,2,3,6] ; [0,1,2,3,6] |
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 |
base_conversion | base_conversion:repeated-division | n=122,base=8 | DIV:122/8=15,r:2 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:172 |
base_conversion | base_conversion:via-binary | n=252,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:11111100 |
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) |
list_summation | list_summation:right-to-left | 5, 9, 6, 3 | 6+3=9 ; 9+9=18 ; 5+18=23 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 8, 6, 5 | [0,1,8,6,5] ; [0,1,6,8,5] ; [0,1,6,5,8] ; [0,1,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
base_conversion | base_conversion:repeated-division | n=33,base=4 | DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:201 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-18 | 3x-12=-18 ; x=(-18--12)/3 ; x=-6/3 ; x=-2 |
base_conversion | base_conversion:via-binary | n=7,base=2 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; OUT:111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=15 | 3x-12=15 ; x+-4=5 ; x=5--4 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 761+651 | d2:1+1+0=2→w2,c0 ; d1:6+5+0=11→w1,c1 ; d0:7+6+1=14→w4,c1 ; sum=1412 |
base_conversion | base_conversion:decomposition | n=151,base=16 | TERM:9*16^1=144 ; TERM:7*16^0=7 ; OUT:97 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:right-to-left | 0, 4, 3, 6 | 3+6=9 ; 4+9=13 ; 0+13=13 |
list_summation | list_summation:left-to-right | 2, 8, 3, 1 | 2+8=10 ; 10+3=13 ; 13+1=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 6, 1, 8, 4 | [1,6,9,8,4] ; [1,4,9,8,6] ; [1,4,6,8,9] ; [1,4,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,1) | D:(3,0) ; D:(4,0) ; R:(4,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 868+789 | round:870+789=1659 ; adjust:1659-2=1657 ; sum=1657 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 7, 9, 4 | [2,8,7,9,4] ; [2,7,8,9,4] ; [2,7,8,4,9] ; [2,7,4,8,9] ; [2,4,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=-27 | 9x+0=-27 ; x=(-27-0)/9 ; x=-27/9 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=18 | 3x-9=18 ; x=(18--9)/3 ; x=27/3 ; x=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(2,4) | D:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) |
list_summation | list_summation:right-to-left | 1, 5, 2, 9 | 2+9=11 ; 5+11=16 ; 1+16=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 4, 1, 7, 2 | [4,6,1,7,2] ; [1,4,6,7,2] ; [1,2,4,6,7] |
list_summation | list_summation:left-to-right | 2, 0, 9, 0 | 2+0=2 ; 2+9=11 ; 11+0=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-36 | 2x-18=-36 ; 2x=-18 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=30 | 3x+24=30 ; x=(30-24)/3 ; x=6/3 ; x=2 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 6, 0, 4 | [1,3,0,6,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-35=0 | 5x-35=0 ; 5x=35 ; x=7 |
list_summation | list_summation:right-to-left | 4, 7, 1, 9 | 1+9=10 ; 7+10=17 ; 4+17=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 910+106 | round:910+106=1016 ; adjust:1016-0=1016 ; sum=1016 |
list_summation | list_summation:left-to-right | 3, 4, 9, 3 | 3+4=7 ; 7+9=16 ; 16+3=19 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 8, 2, 1, 4 | [0,8,2,1,4] ; [0,1,2,8,4] ; [0,1,2,8,4] ; [0,1,2,4,8] |
list_summation | list_summation:pairwise | 4, 8, 9, 4 | 4+8=12 ; 9+4=13 ; 12+13=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=-18 | 2x-4=-18 ; x+-2=-9 ; x=-9--2 ; x=-7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=201,base=16 | DIV:201/16=12,r:9 ; DIV:12/16=0,r:12 ; OUT:C9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,1) | D:(4,0) ; D:(5,0) ; R:(5,1) |
list_summation | list_summation:pairwise | 7, 1, 6, 5 | 7+1=8 ; 6+5=11 ; 8+11=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+14=14 | 2x+14=14 ; x=(14-14)/2 ; x=0/2 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-21 | 3x-24=-21 ; x+-8=-7 ; x=-7--8 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 551+503 | d2:1+3+0=4→w4,c0 ; d1:5+0+0=5→w5,c0 ; d0:5+5+0=10→w0,c1 ; sum=1054 |
list_summation | list_summation:left-to-right | 5, 7, 8, 2 | 5+7=12 ; 12+8=20 ; 20+2=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-12 | 6x-30=-12 ; x+-5=-2 ; x=-2--5 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-28 | 2x-16=-28 ; 2x=-12 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 460+813 | p100:400+800=1200 ; p10:60+10=70 ; p1:0+3=3 ; sum=1200+70+3=1273 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 190+397 | d2:0+7+0=7→w7,c0 ; d1:9+9+0=18→w8,c1 ; d0:1+3+1=5→w5,c0 ; sum=587 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=24 | 8x-40=24 ; x=(24--40)/8 ; x=64/8 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 733+712 | d2:3+2+0=5→w5,c0 ; d1:3+1+0=4→w4,c0 ; d0:7+7+0=14→w4,c1 ; sum=1445 |
multidigit_addition | multidigit_addition:rounding-decomposition | 194+231 | round:200+231=431 ; adjust:431-6=425 ; sum=425 |
base_conversion | base_conversion:via-binary | n=142,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:14 ; OUT:8E |
multidigit_addition | multidigit_addition:left-to-right-partials | 722+194 | p100:700+100=800 ; p10:20+90=110 ; p1:2+4=6 ; sum=800+110+6=916 |
base_conversion | base_conversion:via-binary | n=68,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1000100 |
multidigit_addition | multidigit_addition:left-to-right-partials | 160+378 | p100:100+300=400 ; p10:60+70=130 ; p1:0+8=8 ; sum=400+130+8=538 |
multidigit_addition | multidigit_addition:right-to-left-carry | 531+410 | d2:1+0+0=1→w1,c0 ; d1:3+1+0=4→w4,c0 ; d0:5+4+0=9→w9,c0 ; sum=941 |
list_summation | list_summation:pairwise | 6, 0, 6, 5 | 6+0=6 ; 6+5=11 ; 6+11=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 5, 8, 2, 3 | [8,5,7,2,3] ; [3,5,7,2,8] ; [7,5,3,2,8] ; [2,5,3,7,8] ; [5,2,3,7,8] ; [3,2,5,7,8] ; [2,3,5,7,8] |
base_conversion | base_conversion:decomposition | n=213,base=4 | TERM:3*4^3=192 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:3111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 166+753 | d2:6+3+0=9→w9,c0 ; d1:6+5+0=11→w1,c1 ; d0:1+7+1=9→w9,c0 ; sum=919 |
multidigit_addition | multidigit_addition:right-to-left-carry | 249+391 | d2:9+1+0=10→w0,c1 ; d1:4+9+1=14→w4,c1 ; d0:2+3+1=6→w6,c0 ; sum=640 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-4=-14 | 2x-4=-14 ; x=(-14--4)/2 ; x=-10/2 ; x=-5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 7, 0, 9 | [2,5,7,0,9] ; [2,5,7,0,9] ; [0,2,5,7,9] ; [0,2,5,7,9] |
list_summation | list_summation:right-to-left | 3, 3, 4, 5 | 4+5=9 ; 3+9=12 ; 3+12=15 |
list_summation | list_summation:right-to-left | 3, 7, 9, 3 | 9+3=12 ; 7+12=19 ; 3+19=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=12 | 6x-30=12 ; x=(12--30)/6 ; x=42/6 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 279+748 | round:280+748=1028 ; adjust:1028-1=1027 ; sum=1027 |
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