task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=112,base=8 | TERM:1*8^2=64 ; TERM:6*8^1=48 ; TERM:0*8^0=0 ; OUT:160 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 5, 8, 6, 0 | [3,5,6,8,0] ; [3,5,6,0,8] ; [3,5,0,6,8] ; [3,0,5,6,8] ; [0,3,5,6,8] |
list_summation | list_summation:pairwise | 6, 8, 3, 3 | 6+8=14 ; 3+3=6 ; 14+6=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 979+275 | round:980+275=1255 ; adjust:1255-1=1254 ; sum=1254 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 2, 5, 3 | [4,7,2,5,3] ; [4,2,7,5,3] ; [4,2,5,7,3] ; [4,2,5,3,7] ; [2,4,5,3,7] ; [2,4,3,5,7] ; [2,3,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 672+913 | round:680+913=1593 ; adjust:1593-8=1585 ; sum=1585 |
list_summation | list_summation:left-to-right | 9, 2, 3, 8 | 9+2=11 ; 11+3=14 ; 14+8=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 5, 3, 2 | [0,9,5,3,2] ; [0,9,3,5,2] ; [0,3,5,9,2] ; [0,2,3,5,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+36=-9 | 9x+36=-9 ; x=(-9-36)/9 ; x=-45/9 ; x=-5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) |
base_conversion | base_conversion:via-binary | n=171,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:11 ; OUT:AB |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 6, 7, 9 | [2,8,6,7,9] ; [2,6,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 738+932 | p100:700+900=1600 ; p10:30+30=60 ; p1:8+2=10 ; sum=1600+60+10=1670 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=90 | 9x+36=90 ; x+4=10 ; x=10-4 ; x=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=2 | 2x-12=2 ; 2x=14 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 3, 8, 4 | [0,7,3,8,4] ; [0,3,7,8,4] ; [0,3,4,8,7] ; [0,3,4,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 6, 8, 7 | [5,8,6,3,7] ; [8,5,6,3,7] ; [8,7,6,3,5] ; [5,7,6,3,8] ; [7,5,6,3,8] ; [3,5,6,7,8] ; [6,5,3,7,8] ; [3,5,6,7,8] ; [5,3,6,7,8] ; [3,5,6,7,8] |
base_conversion | base_conversion:repeated-division | n=180,base=16 | DIV:180/16=11,r:4 ; DIV:11/16=0,r:11 ; OUT:B4 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 8, 1, 2 | [5,2,8,1,0] ; [8,2,5,1,0] ; [0,2,5,1,8] ; [5,2,0,1,8] ; [1,2,0,5,8] ; [2,1,0,5,8] ; [0,1,2,5,8] ; [1,0,2,5,8] ; [0,1,2,5,8] |
list_summation | list_summation:pairwise | 3, 5, 1, 4 | 3+5=8 ; 1+4=5 ; 8+5=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=65 | 5x+35=65 ; x=(65-35)/5 ; x=30/5 ; x=6 |
list_summation | list_summation:pairwise | 0, 6, 6, 8 | 0+6=6 ; 6+8=14 ; 6+14=20 |
base_conversion | base_conversion:decomposition | n=173,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:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10101101 |
list_summation | list_summation:pairwise | 7, 6, 8, 3 | 7+6=13 ; 8+3=11 ; 13+11=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-48 | 8x-16=-48 ; 8x=-32 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 427+798 | d2:7+8+0=15→w5,c1 ; d1:2+9+1=12→w2,c1 ; d0:4+7+1=12→w2,c1 ; sum=1225 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+63=0 | 9x+63=0 ; 9x=-63 ; x=-7 |
base_conversion | base_conversion:decomposition | n=6,base=8 | TERM:6*8^0=6 ; OUT:6 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 9, 4, 6, 7 | [3,4,6,9,7] ; [3,4,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 628+586 | round:630+586=1216 ; adjust:1216-2=1214 ; sum=1214 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=18 | 9x+45=18 ; 9x=-27 ; x=-3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 3, 8, 6 | [2,9,3,8,6] ; [2,3,9,8,6] ; [2,3,8,9,6] ; [2,3,8,6,9] ; [2,3,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=-8 | 2x-14=-8 ; x=(-8--14)/2 ; x=6/2 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 3, 8, 4 | [3,5,7,8,4] ; [3,4,5,7,8] |
base_conversion | base_conversion:via-binary | n=129,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:201 |
multidigit_addition | multidigit_addition:left-to-right-partials | 476+596 | p100:400+500=900 ; p10:70+90=160 ; p1:6+6=12 ; sum=900+160+12=1072 |
multidigit_addition | multidigit_addition:right-to-left-carry | 638+295 | d2:8+5+0=13→w3,c1 ; d1:3+9+1=13→w3,c1 ; d0:6+2+1=9→w9,c0 ; sum=933 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=-96 | 6x-42=-96 ; x+-7=-16 ; x=-16--7 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-72=-96 | 8x-72=-96 ; x+-9=-12 ; x=-12--9 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=10 | 5x-35=10 ; x=(10--35)/5 ; x=45/5 ; x=9 |
list_summation | list_summation:right-to-left | 0, 2, 0, 4 | 0+4=4 ; 2+4=6 ; 0+6=6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=60 | 5x+15=60 ; 5x=45 ; x=9 |
list_summation | list_summation:left-to-right | 4, 6, 2, 4 | 4+6=10 ; 10+2=12 ; 12+4=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=24 | 6x-12=24 ; x=(24--12)/6 ; x=36/6 ; x=6 |
list_summation | list_summation:left-to-right | 6, 8, 1, 6 | 6+8=14 ; 14+1=15 ; 15+6=21 |
list_summation | list_summation:left-to-right | 2, 0, 1, 1 | 2+0=2 ; 2+1=3 ; 3+1=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=80 | 8x+8=80 ; 8x=72 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=-10 | 5x-10=-10 ; 5x=0 ; x=0 |
base_conversion | base_conversion:decomposition | n=43,base=4 | TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:223 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 4, 1, 7, 9 | [2,9,1,7,4] ; [9,2,1,7,4] ; [9,7,1,2,4] ; [4,7,1,2,9] ; [7,4,1,2,9] ; [2,4,1,7,9] ; [4,2,1,7,9] ; [1,2,4,7,9] ; [2,1,4,7,9] ; [1,2,4,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 0, 6, 1, 4 | [0,3,6,1,4] ; [0,3,6,1,4] ; [0,1,3,6,4] ; [0,1,3,4,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=0 | 3x-21=0 ; x=(0--21)/3 ; x=21/3 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 997+678 | p100:900+600=1500 ; p10:90+70=160 ; p1:7+8=15 ; sum=1500+160+15=1675 |
base_conversion | base_conversion:decomposition | n=251,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:3323 |
list_summation | list_summation:right-to-left | 4, 2, 1, 3 | 1+3=4 ; 2+4=6 ; 4+6=10 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(1,5) | R:(0,4) ; R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=55 | 5x+25=55 ; 5x=30 ; x=6 |
base_conversion | base_conversion:repeated-division | n=72,base=2 | DIV:72/2=36,r:0 ; DIV:36/2=18,r:0 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1001000 |
base_conversion | base_conversion:repeated-division | n=107,base=8 | DIV:107/8=13,r:3 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:153 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-12=-28 | 4x-12=-28 ; 4x=-16 ; x=-4 |
base_conversion | base_conversion:via-binary | n=125,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:175 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 4, 3, 6 | [2,9,4,3,6] ; [2,4,9,3,6] ; [2,4,3,9,6] ; [2,4,3,6,9] ; [2,3,4,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-48 | 4x-36=-48 ; 4x=-12 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 197+254 | p100:100+200=300 ; p10:90+50=140 ; p1:7+4=11 ; sum=300+140+11=451 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:via-binary | n=49,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; OUT:110001 |
list_summation | list_summation:left-to-right | 1, 9, 7, 0 | 1+9=10 ; 10+7=17 ; 17+0=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,2) | D:(4,0) ; R:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 799+164 | d2:9+4+0=13→w3,c1 ; d1:9+6+1=16→w6,c1 ; d0:7+1+1=9→w9,c0 ; sum=963 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-63=0 | 7x-63=0 ; x+-9=0 ; x=0--9 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 685+595 | p100:600+500=1100 ; p10:80+90=170 ; p1:5+5=10 ; sum=1100+170+10=1280 |
multidigit_addition | multidigit_addition:left-to-right-partials | 488+611 | p100:400+600=1000 ; p10:80+10=90 ; p1:8+1=9 ; sum=1000+90+9=1099 |
multidigit_addition | multidigit_addition:right-to-left-carry | 571+979 | d2:1+9+0=10→w0,c1 ; d1:7+7+1=15→w5,c1 ; d0:5+9+1=15→w5,c1 ; sum=1550 |
list_summation | list_summation:left-to-right | 4, 4, 9, 3 | 4+4=8 ; 8+9=17 ; 17+3=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
list_summation | list_summation:left-to-right | 2, 2, 5, 2 | 2+2=4 ; 4+5=9 ; 9+2=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 902+243 | p100:900+200=1100 ; p10:0+40=40 ; p1:2+3=5 ; sum=1100+40+5=1145 |
base_conversion | base_conversion:via-binary | n=32,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:0 ; OUT:20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 828+687 | d2:8+7+0=15→w5,c1 ; d1:2+8+1=11→w1,c1 ; d0:8+6+1=15→w5,c1 ; sum=1515 |
multidigit_addition | multidigit_addition:right-to-left-carry | 674+464 | d2:4+4+0=8→w8,c0 ; d1:7+6+0=13→w3,c1 ; d0:6+4+1=11→w1,c1 ; sum=1138 |
list_summation | list_summation:left-to-right | 3, 7, 5, 8 | 3+7=10 ; 10+5=15 ; 15+8=23 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 4, 7, 6 | [2,9,4,7,6] ; [2,4,7,9,6] ; [2,4,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 9, 6, 8, 4 | 9+6=15 ; 8+4=12 ; 15+12=27 |
base_conversion | base_conversion:decomposition | n=123,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; 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:1111011 |
base_conversion | base_conversion:repeated-division | n=214,base=8 | DIV:214/8=26,r:6 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:326 |
list_summation | list_summation:left-to-right | 6, 3, 5, 4 | 6+3=9 ; 9+5=14 ; 14+4=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=56 | 4x+32=56 ; x=(56-32)/4 ; x=24/4 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-54=-48 | 6x-54=-48 ; x+-9=-8 ; x=-8--9 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=0 | 3x-21=0 ; 3x=21 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 878+280 | p100:800+200=1000 ; p10:70+80=150 ; p1:8+0=8 ; sum=1000+150+8=1158 |
base_conversion | base_conversion:repeated-division | n=96,base=8 | DIV:96/8=12,r:0 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:140 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-35 | 7x-35=-35 ; 7x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-28 | 7x-35=-28 ; 7x=7 ; x=1 |
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