task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 0, 9, 0, 4 | 0+9=9 ; 9+0=9 ; 9+4=13 |
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:right-to-left-carry | 876+643 | d2:6+3+0=9→w9,c0 ; d1:7+4+0=11→w1,c1 ; d0:8+6+1=15→w5,c1 ; sum=1519 |
list_summation | list_summation:left-to-right | 7, 0, 7, 0 | 7+0=7 ; 7+7=14 ; 14+0=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-35=-35 | 7x-35=-35 ; x+-5=-5 ; x=-5--5 ; x=0 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
base_conversion | base_conversion:decomposition | n=130,base=16 | TERM:8*16^1=128 ; TERM:2*16^0=2 ; OUT:82 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 9, 6, 1 | [4,8,6,9,1] ; [4,6,8,9,1] ; [1,4,6,8,9] |
base_conversion | base_conversion:via-binary | n=63,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; OUT:333 |
multidigit_addition | multidigit_addition:rounding-decomposition | 499+695 | round:500+695=1195 ; adjust:1195-1=1194 ; sum=1194 |
list_summation | list_summation:right-to-left | 4, 3, 1, 9 | 1+9=10 ; 3+10=13 ; 4+13=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 257+506 | round:260+506=766 ; adjust:766-3=763 ; sum=763 |
list_summation | list_summation:pairwise | 7, 3, 2, 3 | 7+3=10 ; 2+3=5 ; 10+5=15 |
list_summation | list_summation:left-to-right | 8, 8, 4, 2 | 8+8=16 ; 16+4=20 ; 20+2=22 |
list_summation | list_summation:right-to-left | 9, 3, 9, 8 | 9+8=17 ; 3+17=20 ; 9+20=29 |
base_conversion | base_conversion:decomposition | n=45,base=4 | TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:231 |
base_conversion | base_conversion:repeated-division | n=15,base=8 | DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 356+532 | d2:6+2+0=8→w8,c0 ; d1:5+3+0=8→w8,c0 ; d0:3+5+0=8→w8,c0 ; sum=888 |
base_conversion | base_conversion:repeated-division | n=47,base=8 | DIV:47/8=5,r:7 ; DIV:5/8=0,r:5 ; OUT:57 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 3, 5, 6, 0 | [0,1,3,5,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 990+728 | p100:900+700=1600 ; p10:90+20=110 ; p1:0+8=8 ; sum=1600+110+8=1718 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=56 | 4x+28=56 ; x=(56-28)/4 ; x=28/4 ; x=7 |
list_summation | list_summation:left-to-right | 1, 9, 4, 2 | 1+9=10 ; 10+4=14 ; 14+2=16 |
list_summation | list_summation:pairwise | 3, 4, 2, 2 | 3+4=7 ; 2+2=4 ; 7+4=11 |
list_summation | list_summation:pairwise | 9, 4, 6, 7 | 9+4=13 ; 6+7=13 ; 13+13=26 |
base_conversion | base_conversion:repeated-division | n=172,base=16 | DIV:172/16=10,r:12 ; DIV:10/16=0,r:10 ; OUT:AC |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=64,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:1000 |
list_summation | list_summation:left-to-right | 0, 7, 6, 9 | 0+7=7 ; 7+6=13 ; 13+9=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 158+347 | d2:8+7+0=15→w5,c1 ; d1:5+4+1=10→w0,c1 ; d0:1+3+1=5→w5,c0 ; sum=505 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=-24 | 3x-12=-24 ; x+-4=-8 ; x=-8--4 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=53,base=4 | DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:311 |
multidigit_addition | multidigit_addition:left-to-right-partials | 831+417 | p100:800+400=1200 ; p10:30+10=40 ; p1:1+7=8 ; sum=1200+40+8=1248 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 120+255 | d2:0+5+0=5→w5,c0 ; d1:2+5+0=7→w7,c0 ; d0:1+2+0=3→w3,c0 ; sum=375 |
list_summation | list_summation:pairwise | 1, 7, 3, 9 | 1+7=8 ; 3+9=12 ; 8+12=20 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+36=108 | 9x+36=108 ; x+4=12 ; x=12-4 ; x=8 |
list_summation | list_summation:pairwise | 4, 4, 4, 3 | 4+4=8 ; 4+3=7 ; 8+7=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 694+750 | round:700+750=1450 ; adjust:1450-6=1444 ; sum=1444 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 5, 7, 6 | [0,4,5,7,6] ; [0,4,5,7,6] ; [0,4,5,7,6] ; [0,4,5,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
list_summation | list_summation:left-to-right | 8, 0, 1, 8 | 8+0=8 ; 8+1=9 ; 9+8=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 165+977 | round:170+977=1147 ; adjust:1147-5=1142 ; sum=1142 |
list_summation | list_summation:pairwise | 3, 7, 1, 0 | 3+7=10 ; 1+0=1 ; 10+1=11 |
multidigit_addition | multidigit_addition:right-to-left-carry | 854+960 | d2:4+0+0=4→w4,c0 ; d1:5+6+0=11→w1,c1 ; d0:8+9+1=18→w8,c1 ; sum=1814 |
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) |
list_summation | list_summation:left-to-right | 6, 3, 5, 0 | 6+3=9 ; 9+5=14 ; 14+0=14 |
base_conversion | base_conversion:via-binary | n=201,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11001001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 671+814 | d2:1+4+0=5→w5,c0 ; d1:7+1+0=8→w8,c0 ; d0:6+8+0=14→w4,c1 ; sum=1485 |
base_conversion | base_conversion:decomposition | n=245,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:5*8^0=5 ; OUT:365 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 3, 3, 7, 8 | 7+8=15 ; 3+15=18 ; 3+18=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=-96 | 8x-64=-96 ; x=(-96--64)/8 ; x=-32/8 ; x=-4 |
base_conversion | base_conversion:via-binary | n=244,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:3310 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=54 | 6x+0=54 ; 6x=54 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=-27 | 9x+27=-27 ; x+3=-3 ; x=-3-3 ; x=-6 |
base_conversion | base_conversion:via-binary | n=98,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1100010 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 2, 5, 6, 4 | 2+5=7 ; 6+4=10 ; 7+10=17 |
list_summation | list_summation:pairwise | 3, 5, 6, 1 | 3+5=8 ; 6+1=7 ; 8+7=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-21 | 3x-27=-21 ; x=(-21--27)/3 ; x=6/3 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 408+861 | d2:8+1+0=9→w9,c0 ; d1:0+6+0=6→w6,c0 ; d0:4+8+0=12→w2,c1 ; sum=1269 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=77 | 7x+28=77 ; x=(77-28)/7 ; x=49/7 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 935+345 | round:940+345=1285 ; adjust:1285-5=1280 ; sum=1280 |
list_summation | list_summation:right-to-left | 0, 9, 0, 3 | 0+3=3 ; 9+3=12 ; 0+12=12 |
base_conversion | base_conversion:repeated-division | n=222,base=2 | DIV:222/2=111,r:0 ; DIV:111/2=55,r:1 ; DIV:55/2=27,r:1 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11011110 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-25 | 5x-45=-25 ; x+-9=-5 ; x=-5--9 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 682+113 | d2:2+3+0=5→w5,c0 ; d1:8+1+0=9→w9,c0 ; d0:6+1+0=7→w7,c0 ; sum=795 |
list_summation | list_summation:pairwise | 1, 6, 7, 0 | 1+6=7 ; 7+0=7 ; 7+7=14 |
base_conversion | base_conversion:via-binary | n=48,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:300 |
list_summation | list_summation:left-to-right | 3, 4, 1, 7 | 3+4=7 ; 7+1=8 ; 8+7=15 |
base_conversion | base_conversion:decomposition | n=75,base=16 | TERM:4*16^1=64 ; TERM:11*16^0=11 ; OUT:4B |
base_conversion | base_conversion:repeated-division | n=31,base=2 | DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111 |
list_summation | list_summation:left-to-right | 7, 0, 5, 8 | 7+0=7 ; 7+5=12 ; 12+8=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-18=-12 | 6x-18=-12 ; 6x=6 ; x=1 |
base_conversion | base_conversion:decomposition | n=150,base=16 | TERM:9*16^1=144 ; TERM:6*16^0=6 ; OUT:96 |
list_summation | list_summation:pairwise | 0, 9, 7, 9 | 0+9=9 ; 7+9=16 ; 9+16=25 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+5=30 | 5x+5=30 ; x+1=6 ; x=6-1 ; x=5 |
list_summation | list_summation:right-to-left | 1, 6, 3, 7 | 3+7=10 ; 6+10=16 ; 1+16=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 745+102 | p100:700+100=800 ; p10:40+0=40 ; p1:5+2=7 ; sum=800+40+7=847 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=99 | 9x+54=99 ; 9x=45 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 2, 6, 1 | [4,9,2,6,1] ; [2,4,6,9,1] ; [1,2,4,6,9] |
base_conversion | base_conversion:decomposition | n=61,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:331 |
multidigit_addition | multidigit_addition:right-to-left-carry | 528+774 | d2:8+4+0=12→w2,c1 ; d1:2+7+1=10→w0,c1 ; d0:5+7+1=13→w3,c1 ; sum=1302 |
list_summation | list_summation:pairwise | 3, 0, 6, 5 | 3+0=3 ; 6+5=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=2 | 2x+0=2 ; 2x=2 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=48 | 8x+24=48 ; x=(48-24)/8 ; x=24/8 ; x=3 |
list_summation | list_summation:pairwise | 9, 1, 9, 9 | 9+1=10 ; 9+9=18 ; 10+18=28 |
list_summation | list_summation:right-to-left | 5, 1, 6, 9 | 6+9=15 ; 1+15=16 ; 5+16=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 356+132 | p100:300+100=400 ; p10:50+30=80 ; p1:6+2=8 ; sum=400+80+8=488 |
list_summation | list_summation:left-to-right | 0, 2, 6, 5 | 0+2=2 ; 2+6=8 ; 8+5=13 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 1, 5, 9 | [2,9,1,5,8] ; [9,2,1,5,8] ; [9,8,1,5,2] ; [2,8,1,5,9] ; [8,2,1,5,9] ; [8,5,1,2,9] ; [2,5,1,8,9] ; [5,2,1,8,9] ; [1,2,5,8,9] ; [2,1,5,8,9] ; [1,2,5,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 2, 8, 9 | [6,9,2,8,4] ; [9,6,2,8,4] ; [9,8,2,6,4] ; [4,8,2,6,9] ; [8,4,2,6,9] ; [8,6,2,4,9] ; [4,6,2,8,9] ; [6,4,2,8,9] ; [2,4,6,8,9] ; [4,2,6,8,9] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 172+301 | d2:2+1+0=3→w3,c0 ; d1:7+0+0=7→w7,c0 ; d0:1+3+0=4→w4,c0 ; sum=473 |
base_conversion | base_conversion:via-binary | n=149,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:5 ; OUT:95 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 3, 6, 2 | [0,7,3,6,2] ; [0,2,3,6,7] ; [0,2,3,6,7] ; [0,2,3,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,4) | D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 8, 2, 6 | [0,3,8,2,6] ; [0,3,2,8,6] ; [0,2,3,8,6] ; [0,2,3,6,8] |
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