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 | 690+367 | p100:600+300=900 ; p10:90+60=150 ; p1:0+7=7 ; sum=900+150+7=1057 |
base_conversion | base_conversion:decomposition | n=162,base=16 | TERM:10*16^1=160 ; TERM:2*16^0=2 ; OUT:A2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=-72 | 9x-45=-72 ; x=(-72--45)/9 ; x=-27/9 ; x=-3 |
base_conversion | base_conversion:via-binary | n=238,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:6 ; OUT:356 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=35 | 5x+15=35 ; 5x=20 ; x=4 |
list_summation | list_summation:pairwise | 2, 7, 5, 2 | 2+7=9 ; 5+2=7 ; 9+7=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+40=45 | 5x+40=45 ; x+8=9 ; x=9-8 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 4, 6, 7, 0 | [0,1,4,6,7] |
list_summation | list_summation:right-to-left | 2, 2, 3, 9 | 3+9=12 ; 2+12=14 ; 2+14=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-54=-96 | 6x-54=-96 ; x+-9=-16 ; x=-16--9 ; x=-7 |
base_conversion | base_conversion:via-binary | n=204,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3030 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=-72 | 9x+9=-72 ; 9x=-81 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,2) | D:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
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 |
list_summation | list_summation:right-to-left | 9, 5, 5, 7 | 5+7=12 ; 5+12=17 ; 9+17=26 |
base_conversion | base_conversion:decomposition | n=35,base=8 | TERM:4*8^1=32 ; TERM:3*8^0=3 ; OUT:43 |
multidigit_addition | multidigit_addition:right-to-left-carry | 109+187 | d2:9+7+0=16→w6,c1 ; d1:0+8+1=9→w9,c0 ; d0:1+1+0=2→w2,c0 ; sum=296 |
base_conversion | base_conversion:via-binary | n=90,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:132 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 2, 4, 5 | [2,4,8,9,5] ; [2,4,5,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 4, 7, 0, 6 | [4,8,7,0,6] ; [4,7,8,0,6] ; [4,7,0,8,6] ; [4,7,0,6,8] ; [4,0,7,6,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 280+847 | p100:200+800=1000 ; p10:80+40=120 ; p1:0+7=7 ; sum=1000+120+7=1127 |
base_conversion | base_conversion:decomposition | n=80,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1100 |
list_summation | list_summation:right-to-left | 0, 5, 5, 8 | 5+8=13 ; 5+13=18 ; 0+18=18 |
base_conversion | base_conversion:repeated-division | n=243,base=8 | DIV:243/8=30,r:3 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:363 |
base_conversion | base_conversion:via-binary | n=155,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:10011011 |
list_summation | list_summation:right-to-left | 2, 9, 5, 8 | 5+8=13 ; 9+13=22 ; 2+22=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=84 | 6x+30=84 ; 6x=54 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=-36 | 4x-36=-36 ; x+-9=-9 ; x=-9--9 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 273+647 | round:280+647=927 ; adjust:927-7=920 ; sum=920 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 2, 6, 9, 0 | [7,9,6,2,0] ; [9,7,6,2,0] ; [0,7,6,2,9] ; [7,0,6,2,9] ; [7,2,6,0,9] ; [0,2,6,7,9] ; [6,2,0,7,9] ; [0,2,6,7,9] ; [2,0,6,7,9] ; [0,2,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,1) | R:(1,1) ; D:(2,1) ; D:(3,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=18 | 6x+36=18 ; 6x=-18 ; x=-3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 7, 8, 5 | [1,9,7,8,5] ; [1,7,9,8,5] ; [1,7,8,9,5] ; [1,7,8,5,9] ; [1,7,5,8,9] ; [1,5,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 911+864 | round:920+864=1784 ; adjust:1784-9=1775 ; sum=1775 |
list_summation | list_summation:pairwise | 4, 4, 3, 1 | 4+4=8 ; 3+1=4 ; 8+4=12 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=32 | 8x+24=32 ; x=(32-24)/8 ; x=8/8 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 6, 0, 1 | [7,9,6,0,1] ; [7,9,0,6,1] ; [0,6,7,9,1] ; [0,1,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 8, 2, 4 | [5,4,8,2,3] ; [8,4,5,2,3] ; [3,4,5,2,8] ; [5,4,3,2,8] ; [2,4,3,5,8] ; [4,2,3,5,8] ; [3,2,4,5,8] ; [2,3,4,5,8] |
base_conversion | base_conversion:decomposition | n=100,base=16 | TERM:6*16^1=96 ; TERM:4*16^0=4 ; OUT:64 |
base_conversion | base_conversion:repeated-division | n=160,base=16 | DIV:160/16=10,r:0 ; DIV:10/16=0,r:10 ; OUT:A0 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 8, 9, 1 | [1,4,5,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 0, 9, 2 | [0,3,1,9,2] ; [0,1,3,9,2] ; [0,1,2,9,3] ; [0,1,2,3,9] |
list_summation | list_summation:left-to-right | 1, 4, 7, 7 | 1+4=5 ; 5+7=12 ; 12+7=19 |
base_conversion | base_conversion:repeated-division | n=27,base=16 | DIV:27/16=1,r:11 ; DIV:1/16=0,r:1 ; OUT:1B |
list_summation | list_summation:right-to-left | 7, 5, 1, 5 | 1+5=6 ; 5+6=11 ; 7+11=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 449+504 | round:450+504=954 ; adjust:954-1=953 ; sum=953 |
list_summation | list_summation:right-to-left | 4, 2, 4, 7 | 4+7=11 ; 2+11=13 ; 4+13=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=233,base=16 | DIV:233/16=14,r:9 ; DIV:14/16=0,r:14 ; OUT:E9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=56 | 7x+63=56 ; x+9=8 ; x=8-9 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=191,base=8 | DIV:191/8=23,r:7 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:277 |
multidigit_addition | multidigit_addition:left-to-right-partials | 173+901 | p100:100+900=1000 ; p10:70+0=70 ; p1:3+1=4 ; sum=1000+70+4=1074 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-4 | 2x-18=-4 ; 2x=14 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 995+343 | p100:900+300=1200 ; p10:90+40=130 ; p1:5+3=8 ; sum=1200+130+8=1338 |
multidigit_addition | multidigit_addition:left-to-right-partials | 740+958 | p100:700+900=1600 ; p10:40+50=90 ; p1:0+8=8 ; sum=1600+90+8=1698 |
base_conversion | base_conversion:decomposition | n=34,base=8 | TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:42 |
list_summation | list_summation:right-to-left | 9, 7, 8, 9 | 8+9=17 ; 7+17=24 ; 9+24=33 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 8, 1, 6 | [0,3,8,1,6] ; [0,1,8,3,6] ; [0,1,3,8,6] ; [0,1,3,6,8] |
base_conversion | base_conversion:repeated-division | n=130,base=16 | DIV:130/16=8,r:2 ; DIV:8/16=0,r:8 ; OUT:82 |
base_conversion | base_conversion:decomposition | n=219,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11011011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 651+704 | p100:600+700=1300 ; p10:50+0=50 ; p1:1+4=5 ; sum=1300+50+5=1355 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=60 | 5x+20=60 ; 5x=40 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-45 | 9x+18=-45 ; 9x=-63 ; x=-7 |
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 |
base_conversion | base_conversion:decomposition | n=146,base=16 | TERM:9*16^1=144 ; TERM:2*16^0=2 ; OUT:92 |
list_summation | list_summation:right-to-left | 2, 6, 5, 3 | 5+3=8 ; 6+8=14 ; 2+14=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,5) | D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 959+191 | p100:900+100=1000 ; p10:50+90=140 ; p1:9+1=10 ; sum=1000+140+10=1150 |
base_conversion | base_conversion:repeated-division | n=3,base=16 | DIV:3/16=0,r:3 ; OUT:3 |
list_summation | list_summation:pairwise | 6, 5, 8, 5 | 6+5=11 ; 8+5=13 ; 11+13=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=90 | 9x+72=90 ; 9x=18 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 0, 5, 4 | [0,7,3,5,4] ; [0,3,7,5,4] ; [0,3,4,5,7] ; [0,3,4,5,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 5, 6, 1 | [1,9,5,6,4] ; [1,4,5,6,9] ; [1,4,5,6,9] ; [1,4,5,6,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 7, 3, 2 | [8,9,3,7,2] ; [3,7,8,9,2] ; [2,3,7,8,9] |
list_summation | list_summation:left-to-right | 2, 9, 7, 5 | 2+9=11 ; 11+7=18 ; 18+5=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 556+157 | p100:500+100=600 ; p10:50+50=100 ; p1:6+7=13 ; sum=600+100+13=713 |
list_summation | list_summation:left-to-right | 3, 3, 6, 7 | 3+3=6 ; 6+6=12 ; 12+7=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=6 | 3x+6=6 ; x+2=2 ; x=2-2 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-16 | 2x-12=-16 ; x+-6=-8 ; x=-8--6 ; x=-2 |
base_conversion | base_conversion:via-binary | n=61,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:13 ; OUT:3D |
base_conversion | base_conversion:repeated-division | n=245,base=16 | DIV:245/16=15,r:5 ; DIV:15/16=0,r:15 ; OUT:F5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=54 | 9x-18=54 ; x=(54--18)/9 ; x=72/9 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=-54 | 9x+0=-54 ; 9x=-54 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 499+356 | d2:9+6+0=15→w5,c1 ; d1:9+5+1=15→w5,c1 ; d0:4+3+1=8→w8,c0 ; sum=855 |
list_summation | list_summation:left-to-right | 2, 7, 0, 9 | 2+7=9 ; 9+0=9 ; 9+9=18 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 4, 2, 8 | [0,8,4,2,5] ; [8,0,4,2,5] ; [8,5,4,2,0] ; [0,5,4,2,8] ; [5,0,4,2,8] ; [5,2,4,0,8] ; [0,2,4,5,8] ; [4,2,0,5,8] ; [0,2,4,5,8] ; [2,0,4,5,8] ; [0,2,4,5,8] |
list_summation | list_summation:left-to-right | 2, 5, 7, 0 | 2+5=7 ; 7+7=14 ; 14+0=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 577+809 | round:580+809=1389 ; adjust:1389-3=1386 ; sum=1386 |
base_conversion | base_conversion:via-binary | n=102,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:6 ; OUT:146 |
multidigit_addition | multidigit_addition:rounding-decomposition | 321+585 | round:330+585=915 ; adjust:915-9=906 ; sum=906 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; R:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 6, 1, 4, 6 | 4+6=10 ; 1+10=11 ; 6+11=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-20=-40 | 4x-20=-40 ; x=(-40--20)/4 ; x=-20/4 ; x=-5 |
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