task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
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 | 5, 5, 3, 2 | 3+2=5 ; 5+5=10 ; 5+10=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-72 | 9x-81=-72 ; x+-9=-8 ; x=-8--9 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 895+720 | round:900+720=1620 ; adjust:1620-5=1615 ; sum=1615 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 8, 6, 3 | [3,9,8,6,4] ; [3,4,8,6,9] ; [3,4,6,8,9] ; [3,4,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 319+518 | d2:9+8+0=17→w7,c1 ; d1:1+1+1=3→w3,c0 ; d0:3+5+0=8→w8,c0 ; sum=837 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=5 | 5x+40=5 ; 5x=-35 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 6, 7, 8, 1 | [1,3,6,7,8] |
base_conversion | base_conversion:decomposition | n=61,base=8 | TERM:7*8^1=56 ; TERM:5*8^0=5 ; OUT:75 |
multidigit_addition | multidigit_addition:rounding-decomposition | 947+886 | round:950+886=1836 ; adjust:1836-3=1833 ; sum=1833 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 6, 3, 7, 2 | [6,8,3,7,2] ; [6,3,8,7,2] ; [6,3,7,8,2] ; [6,3,7,2,8] ; [3,6,7,2,8] ; [3,6,2,7,8] ; [3,2,6,7,8] ; [2,3,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(2,3) | R:(1,3) ; D:(2,3) |
list_summation | list_summation:right-to-left | 4, 4, 2, 9 | 2+9=11 ; 4+11=15 ; 4+15=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 3, 9, 4 | [1,6,3,9,4] ; [1,3,6,9,4] ; [1,3,4,6,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 5, 4, 9 | [0,2,4,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 176+699 | p100:100+600=700 ; p10:70+90=160 ; p1:6+9=15 ; sum=700+160+15=875 |
base_conversion | base_conversion:via-binary | n=29,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:11101 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=198,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:6 ; OUT:306 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 2, 8, 1, 9 | [2,4,8,1,9] ; [2,4,1,8,9] ; [2,1,4,8,9] ; [1,2,4,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 673+360 | round:680+360=1040 ; adjust:1040-7=1033 ; sum=1033 |
list_summation | list_summation:right-to-left | 1, 2, 1, 6 | 1+6=7 ; 2+7=9 ; 1+9=10 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=-26 | 2x-8=-26 ; 2x=-18 ; x=-9 |
base_conversion | base_conversion:decomposition | n=111,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1233 |
multidigit_addition | multidigit_addition:right-to-left-carry | 718+408 | d2:8+8+0=16→w6,c1 ; d1:1+0+1=2→w2,c0 ; d0:7+4+0=11→w1,c1 ; sum=1126 |
list_summation | list_summation:left-to-right | 2, 3, 8, 4 | 2+3=5 ; 5+8=13 ; 13+4=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 8, 0, 2, 0 | 8+0=8 ; 8+2=10 ; 10+0=10 |
base_conversion | base_conversion:decomposition | n=10,base=16 | TERM:10*16^0=10 ; OUT:A |
list_summation | list_summation:right-to-left | 1, 1, 9, 7 | 9+7=16 ; 1+16=17 ; 1+17=18 |
base_conversion | base_conversion:via-binary | n=11,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:3 ; OUT:13 |
list_summation | list_summation:left-to-right | 1, 0, 1, 2 | 1+0=1 ; 1+1=2 ; 2+2=4 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 1, 0, 3, 9 | [1,5,0,3,9] ; [0,1,3,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,4) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
list_summation | list_summation:left-to-right | 8, 6, 6, 6 | 8+6=14 ; 14+6=20 ; 20+6=26 |
base_conversion | base_conversion:repeated-division | n=243,base=4 | DIV:243/4=60,r:3 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3303 |
list_summation | list_summation:right-to-left | 6, 8, 6, 2 | 6+2=8 ; 8+8=16 ; 6+16=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 968+113 | d2:8+3+0=11→w1,c1 ; d1:6+1+1=8→w8,c0 ; d0:9+1+0=10→w0,c1 ; sum=1081 |
list_summation | list_summation:right-to-left | 5, 1, 8, 8 | 8+8=16 ; 1+16=17 ; 5+17=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-14=-16 | 2x-14=-16 ; x=(-16--14)/2 ; x=-2/2 ; x=-1 |
base_conversion | base_conversion:decomposition | n=130,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:2*8^0=2 ; OUT:202 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 7, 1, 6, 8 | [7,9,1,6,8] ; [1,6,7,9,8] ; [1,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=63,base=2 | DIV:63/2=31,r:1 ; 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:111111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 3, 7, 4 | [2,6,3,7,4] ; [2,3,6,7,4] ; [2,3,6,4,7] ; [2,3,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=42 | 3x+27=42 ; x+9=14 ; x=14-9 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+4=-2 | 2x+4=-2 ; x=(-2-4)/2 ; x=-6/2 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+14=0 | 2x+14=0 ; x=(0-14)/2 ; x=-14/2 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-6 | 6x-36=-6 ; 6x=30 ; x=5 |
base_conversion | base_conversion:via-binary | n=154,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:7:0 ; OUT:10011010 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-70 | 7x-42=-70 ; 7x=-28 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-20=-36 | 4x-20=-36 ; x=(-36--20)/4 ; x=-16/4 ; x=-4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 269+507 | round:270+507=777 ; adjust:777-1=776 ; sum=776 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=151,base=8 | DIV:151/8=18,r:7 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:227 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 7, 1, 2 | [4,8,7,1,2] ; [4,8,1,7,2] ; [1,4,7,8,2] ; [1,2,4,7,8] |
list_summation | list_summation:left-to-right | 1, 0, 4, 5 | 1+0=1 ; 1+4=5 ; 5+5=10 |
list_summation | list_summation:pairwise | 4, 2, 8, 8 | 4+2=6 ; 8+8=16 ; 6+16=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=-21 | 7x+35=-21 ; x=(-21-35)/7 ; x=-56/7 ; x=-8 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 4, 9, 2 | [2,7,4,9,3] ; [2,3,4,9,7] ; [2,3,4,9,7] ; [2,3,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-36 | 6x-30=-36 ; 6x=-6 ; x=-1 |
list_summation | list_summation:left-to-right | 2, 6, 6, 7 | 2+6=8 ; 8+6=14 ; 14+7=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 6, 3, 4 | [2,9,3,6,4] ; [2,3,6,9,4] ; [2,3,4,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 239+777 | p100:200+700=900 ; p10:30+70=100 ; p1:9+7=16 ; sum=900+100+16=1016 |
multidigit_addition | multidigit_addition:left-to-right-partials | 240+660 | p100:200+600=800 ; p10:40+60=100 ; p1:0+0=0 ; sum=800+100+0=900 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 2, 6, 7 | [8,0,2,6,7] ; [8,7,2,6,0] ; [0,7,2,6,8] ; [7,0,2,6,8] ; [7,6,2,0,8] ; [0,6,2,7,8] ; [6,0,2,7,8] ; [2,0,6,7,8] ; [0,2,6,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 6, 1, 5, 2 | [1,3,5,6,2] ; [1,2,3,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 191+652 | round:200+652=852 ; adjust:852-9=843 ; sum=843 |
base_conversion | base_conversion:decomposition | n=108,base=16 | TERM:6*16^1=96 ; TERM:12*16^0=12 ; OUT:6C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-135 | 9x-81=-135 ; 9x=-54 ; x=-6 |
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 |
multidigit_addition | multidigit_addition:right-to-left-carry | 953+218 | d2:3+8+0=11→w1,c1 ; d1:5+1+1=7→w7,c0 ; d0:9+2+0=11→w1,c1 ; sum=1171 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 1, 7, 3, 1 | 1+7=8 ; 3+1=4 ; 8+4=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+0=49 | 7x+0=49 ; 7x=49 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=0 | 6x-30=0 ; x=(0--30)/6 ; x=30/6 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=93,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1131 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-14=-35 | 7x-14=-35 ; x+-2=-5 ; x=-5--2 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 8, 4, 2 | [8,7,5,4,2] ; [2,7,5,4,8] ; [7,2,5,4,8] ; [7,4,5,2,8] ; [2,4,5,7,8] ; [5,4,2,7,8] ; [2,4,5,7,8] ; [4,2,5,7,8] ; [2,4,5,7,8] |
list_summation | list_summation:right-to-left | 9, 5, 2, 8 | 2+8=10 ; 5+10=15 ; 9+15=24 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 7, 0, 3 | [0,2,7,5,3] ; [0,2,7,5,3] ; [0,2,3,5,7] ; [0,2,3,5,7] |
base_conversion | base_conversion:decomposition | n=39,base=8 | TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:47 |
list_summation | list_summation:right-to-left | 8, 6, 7, 2 | 7+2=9 ; 6+9=15 ; 8+15=23 |
base_conversion | base_conversion:repeated-division | n=188,base=8 | DIV:188/8=23,r:4 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:274 |
multidigit_addition | multidigit_addition:right-to-left-carry | 547+122 | d2:7+2+0=9→w9,c0 ; d1:4+2+0=6→w6,c0 ; d0:5+1+0=6→w6,c0 ; sum=669 |
base_conversion | base_conversion:repeated-division | n=204,base=4 | DIV:204/4=51,r:0 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3030 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 2, 9, 6, 8 | [0,8,9,6,2] ; [9,8,0,6,2] ; [2,8,0,6,9] ; [8,2,0,6,9] ; [8,6,0,2,9] ; [2,6,0,8,9] ; [6,2,0,8,9] ; [0,2,6,8,9] ; [2,0,6,8,9] ; [0,2,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 7, 3, 6 | [2,5,7,3,6] ; [2,5,7,3,6] ; [2,3,5,7,6] ; [2,3,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 7, 8, 6, 2 | 7+8=15 ; 6+2=8 ; 15+8=23 |
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