task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(2,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) |
list_summation | list_summation:left-to-right | 7, 5, 1, 5 | 7+5=12 ; 12+1=13 ; 13+5=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+0=25 | 5x+0=25 ; x+0=5 ; x=5-0 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=3 | 3x-9=3 ; x=(3--9)/3 ; x=12/3 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-27 | 3x-12=-27 ; x=(-27--12)/3 ; x=-15/3 ; x=-5 |
list_summation | list_summation:left-to-right | 9, 1, 7, 6 | 9+1=10 ; 10+7=17 ; 17+6=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=25 | 5x+10=25 ; 5x=15 ; x=3 |
base_conversion | base_conversion:via-binary | n=39,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:7 ; OUT:27 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=12 | 6x+6=12 ; x=(12-6)/6 ; x=6/6 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-12 | 2x-12=-12 ; x+-6=-6 ; x=-6--6 ; x=0 |
list_summation | list_summation:right-to-left | 2, 8, 9, 6 | 9+6=15 ; 8+15=23 ; 2+23=25 |
list_summation | list_summation:pairwise | 7, 6, 9, 3 | 7+6=13 ; 9+3=12 ; 13+12=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 167+160 | p100:100+100=200 ; p10:60+60=120 ; p1:7+0=7 ; sum=200+120+7=327 |
multidigit_addition | multidigit_addition:rounding-decomposition | 401+856 | round:410+856=1266 ; adjust:1266-9=1257 ; sum=1257 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 5, 9, 1, 6 | [0,5,9,1,6] ; [0,1,9,5,6] ; [0,1,5,9,6] ; [0,1,5,6,9] |
list_summation | list_summation:left-to-right | 6, 7, 5, 8 | 6+7=13 ; 13+5=18 ; 18+8=26 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=-12 | 3x-3=-12 ; 3x=-9 ; x=-3 |
base_conversion | base_conversion:decomposition | n=15,base=16 | TERM:15*16^0=15 ; OUT:F |
multidigit_addition | multidigit_addition:left-to-right-partials | 140+335 | p100:100+300=400 ; p10:40+30=70 ; p1:0+5=5 ; sum=400+70+5=475 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=-36 | 4x+0=-36 ; x+0=-9 ; x=-9-0 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 817+656 | p100:800+600=1400 ; p10:10+50=60 ; p1:7+6=13 ; sum=1400+60+13=1473 |
multidigit_addition | multidigit_addition:rounding-decomposition | 681+487 | round:690+487=1177 ; adjust:1177-9=1168 ; sum=1168 |
base_conversion | base_conversion:decomposition | n=110,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1101110 |
list_summation | list_summation:pairwise | 1, 5, 9, 8 | 1+5=6 ; 9+8=17 ; 6+17=23 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 0, 3, 6, 8 | [4,8,3,6,0] ; [8,4,3,6,0] ; [8,6,3,4,0] ; [0,6,3,4,8] ; [6,0,3,4,8] ; [6,4,3,0,8] ; [0,4,3,6,8] ; [4,0,3,6,8] ; [3,0,4,6,8] ; [0,3,4,6,8] |
list_summation | list_summation:pairwise | 0, 0, 4, 3 | 0+0=0 ; 4+3=7 ; 0+7=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 305+330 | d2:5+0+0=5→w5,c0 ; d1:0+3+0=3→w3,c0 ; d0:3+3+0=6→w6,c0 ; sum=635 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
base_conversion | base_conversion:decomposition | n=170,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:10101010 |
list_summation | list_summation:right-to-left | 2, 1, 5, 4 | 5+4=9 ; 1+9=10 ; 2+10=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 297+722 | p100:200+700=900 ; p10:90+20=110 ; p1:7+2=9 ; sum=900+110+9=1019 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 8, 5, 9 | [0,2,8,5,9] ; [0,2,5,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 723+836 | round:730+836=1566 ; adjust:1566-7=1559 ; sum=1559 |
multidigit_addition | multidigit_addition:left-to-right-partials | 763+463 | p100:700+400=1100 ; p10:60+60=120 ; p1:3+3=6 ; sum=1100+120+6=1226 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,2) | D:(2,1) ; D:(3,1) ; R:(3,2) |
list_summation | list_summation:pairwise | 3, 4, 0, 3 | 3+4=7 ; 0+3=3 ; 7+3=10 |
base_conversion | base_conversion:decomposition | n=115,base=8 | TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:3*8^0=3 ; OUT:163 |
list_summation | list_summation:right-to-left | 2, 6, 4, 3 | 4+3=7 ; 6+7=13 ; 2+13=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 486+778 | p100:400+700=1100 ; p10:80+70=150 ; p1:6+8=14 ; sum=1100+150+14=1264 |
list_summation | list_summation:left-to-right | 5, 3, 5, 6 | 5+3=8 ; 8+5=13 ; 13+6=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 119+640 | p100:100+600=700 ; p10:10+40=50 ; p1:9+0=9 ; sum=700+50+9=759 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-72=-104 | 8x-72=-104 ; 8x=-32 ; x=-4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 3, 7, 4 | [6,8,3,7,4] ; [3,6,7,8,4] ; [3,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 194+222 | round:200+222=422 ; adjust:422-6=416 ; sum=416 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=-24 | 3x+0=-24 ; x=(-24-0)/3 ; x=-24/3 ; x=-8 |
list_summation | list_summation:right-to-left | 4, 7, 5, 7 | 5+7=12 ; 7+12=19 ; 4+19=23 |
list_summation | list_summation:left-to-right | 9, 5, 3, 8 | 9+5=14 ; 14+3=17 ; 17+8=25 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 4, 0, 4, 3 | 4+0=4 ; 4+3=7 ; 4+7=11 |
list_summation | list_summation:right-to-left | 9, 1, 7, 5 | 7+5=12 ; 1+12=13 ; 9+13=22 |
list_summation | list_summation:pairwise | 1, 9, 0, 3 | 1+9=10 ; 0+3=3 ; 10+3=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 414+354 | round:420+354=774 ; adjust:774-6=768 ; sum=768 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=14 | 2x+18=14 ; x=(14-18)/2 ; x=-4/2 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 640+965 | d2:0+5+0=5→w5,c0 ; d1:4+6+0=10→w0,c1 ; d0:6+9+1=16→w6,c1 ; sum=1605 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-80 | 5x-35=-80 ; x+-7=-16 ; x=-16--7 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 803+603 | d2:3+3+0=6→w6,c0 ; d1:0+0+0=0→w0,c0 ; d0:8+6+0=14→w4,c1 ; sum=1406 |
multidigit_addition | multidigit_addition:right-to-left-carry | 887+888 | d2:7+8+0=15→w5,c1 ; d1:8+8+1=17→w7,c1 ; d0:8+8+1=17→w7,c1 ; sum=1775 |
base_conversion | base_conversion:decomposition | n=229,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11100101 |
list_summation | list_summation:left-to-right | 8, 1, 5, 3 | 8+1=9 ; 9+5=14 ; 14+3=17 |
list_summation | list_summation:right-to-left | 9, 4, 2, 7 | 2+7=9 ; 4+9=13 ; 9+13=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 717+890 | round:720+890=1610 ; adjust:1610-3=1607 ; sum=1607 |
base_conversion | base_conversion:via-binary | n=237,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11101101 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 4, 0, 7 | [1,8,4,0,7] ; [1,4,8,0,7] ; [0,1,4,8,7] ; [0,1,4,7,8] |
list_summation | list_summation:left-to-right | 2, 9, 6, 1 | 2+9=11 ; 11+6=17 ; 17+1=18 |
base_conversion | base_conversion:decomposition | n=159,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011111 |
list_summation | list_summation:right-to-left | 2, 0, 5, 1 | 5+1=6 ; 0+6=6 ; 2+6=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 215+287 | round:220+287=507 ; adjust:507-5=502 ; sum=502 |
list_summation | list_summation:pairwise | 8, 7, 0, 1 | 8+7=15 ; 0+1=1 ; 15+1=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-105 | 7x-49=-105 ; x=(-105--49)/7 ; x=-56/7 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=40 | 8x+16=40 ; 8x=24 ; x=3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=-56 | 7x-35=-56 ; x=(-56--35)/7 ; x=-21/7 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-36 | 6x-48=-36 ; x+-8=-6 ; x=-6--8 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 626+224 | p100:600+200=800 ; p10:20+20=40 ; p1:6+4=10 ; sum=800+40+10=850 |
list_summation | list_summation:pairwise | 7, 8, 7, 5 | 7+8=15 ; 7+5=12 ; 15+12=27 |
multidigit_addition | multidigit_addition:left-to-right-partials | 697+459 | p100:600+400=1000 ; p10:90+50=140 ; p1:7+9=16 ; sum=1000+140+16=1156 |
multidigit_addition | multidigit_addition:left-to-right-partials | 927+777 | p100:900+700=1600 ; p10:20+70=90 ; p1:7+7=14 ; sum=1600+90+14=1704 |
base_conversion | base_conversion:via-binary | n=197,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:5 ; OUT:305 |
base_conversion | base_conversion:via-binary | n=207,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11001111 |
base_conversion | base_conversion:via-binary | n=182,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:266 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-56=-28 | 7x-56=-28 ; 7x=28 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
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 | 4x-16=-36 | 4x-16=-36 ; 4x=-20 ; x=-5 |
base_conversion | base_conversion:repeated-division | n=186,base=8 | DIV:186/8=23,r:2 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:272 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 3, 5, 4, 2 | [3,6,5,4,2] ; [3,5,6,4,2] ; [3,4,5,6,2] ; [2,3,4,5,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=8 | 2x-2=8 ; 2x=10 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-25 | 5x-5=-25 ; x+-1=-5 ; x=-5--1 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+36=30 | 6x+36=30 ; x=(30-36)/6 ; x=-6/6 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=8 | 2x-10=8 ; x+-5=4 ; x=4--5 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 325+225 | round:330+225=555 ; adjust:555-5=550 ; sum=550 |
base_conversion | base_conversion:via-binary | n=51,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; OUT:33 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=99 | 9x+27=99 ; 9x=72 ; x=8 |
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