task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=94,base=8 | DIV:94/8=11,r:6 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:136 |
list_summation | list_summation:right-to-left | 3, 1, 3, 1 | 3+1=4 ; 1+4=5 ; 3+5=8 |
base_conversion | base_conversion:repeated-division | n=113,base=16 | DIV:113/16=7,r:1 ; DIV:7/16=0,r:7 ; OUT:71 |
list_summation | list_summation:left-to-right | 6, 0, 7, 0 | 6+0=6 ; 6+7=13 ; 13+0=13 |
list_summation | list_summation:left-to-right | 3, 0, 4, 2 | 3+0=3 ; 3+4=7 ; 7+2=9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,2) | D:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 6, 9, 3, 8 | [2,6,9,3,8] ; [2,6,9,3,8] ; [2,3,6,9,8] ; [2,3,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 196+832 | p100:100+800=900 ; p10:90+30=120 ; p1:6+2=8 ; sum=900+120+8=1028 |
multidigit_addition | multidigit_addition:left-to-right-partials | 623+247 | p100:600+200=800 ; p10:20+40=60 ; p1:3+7=10 ; sum=800+60+10=870 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 748+866 | round:750+866=1616 ; adjust:1616-2=1614 ; sum=1614 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 2, 6, 1 | [1,3,2,6,9] ; [1,2,3,6,9] ; [1,2,3,6,9] ; [1,2,3,6,9] |
list_summation | list_summation:pairwise | 8, 0, 9, 3 | 8+0=8 ; 9+3=12 ; 8+12=20 |
list_summation | list_summation:left-to-right | 3, 3, 4, 8 | 3+3=6 ; 6+4=10 ; 10+8=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=48 | 8x-24=48 ; x+-3=6 ; x=6--3 ; x=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 608+635 | round:610+635=1245 ; adjust:1245-2=1243 ; sum=1243 |
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) |
list_summation | list_summation:pairwise | 0, 9, 7, 4 | 0+9=9 ; 7+4=11 ; 9+11=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 772+329 | round:780+329=1109 ; adjust:1109-8=1101 ; sum=1101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 847+550 | round:850+550=1400 ; adjust:1400-3=1397 ; sum=1397 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=9 | 3x-12=9 ; x=(9--12)/3 ; x=21/3 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 385+442 | round:390+442=832 ; adjust:832-5=827 ; sum=827 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-21=-14 | 7x-21=-14 ; x=(-14--21)/7 ; x=7/7 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=42 | 6x+12=42 ; x+2=7 ; x=7-2 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 959+962 | p100:900+900=1800 ; p10:50+60=110 ; p1:9+2=11 ; sum=1800+110+11=1921 |
list_summation | list_summation:left-to-right | 7, 6, 5, 2 | 7+6=13 ; 13+5=18 ; 18+2=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=-36 | 9x+27=-36 ; 9x=-63 ; x=-7 |
base_conversion | base_conversion:via-binary | n=51,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:3 ; OUT:63 |
base_conversion | base_conversion:via-binary | n=91,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1011011 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 205+801 | p100:200+800=1000 ; p10:0+0=0 ; p1:5+1=6 ; sum=1000+0+6=1006 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 4, 0, 8 | [9,8,4,0,5] ; [5,8,4,0,9] ; [8,5,4,0,9] ; [0,5,4,8,9] ; [5,0,4,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
list_summation | list_summation:right-to-left | 7, 7, 3, 3 | 3+3=6 ; 7+6=13 ; 7+13=20 |
base_conversion | base_conversion:via-binary | n=230,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:6 ; OUT:346 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 7, 5, 4 | [2,8,7,5,4] ; [2,7,8,5,4] ; [2,5,7,8,4] ; [2,4,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+15=27 | 3x+15=27 ; 3x=12 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 2, 4, 9 | [5,8,2,4,9] ; [2,5,8,4,9] ; [2,4,5,8,9] ; [2,4,5,8,9] |
list_summation | list_summation:right-to-left | 5, 6, 5, 9 | 5+9=14 ; 6+14=20 ; 5+20=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 8, 5, 1, 2 | [7,8,1,5,2] ; [1,5,7,8,2] ; [1,2,5,7,8] |
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 | 9x+72=144 | 9x+72=144 ; 9x=72 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,1) | D:(4,0) ; R:(4,1) |
list_summation | list_summation:right-to-left | 2, 7, 4, 6 | 4+6=10 ; 7+10=17 ; 2+17=19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 825+389 | p100:800+300=1100 ; p10:20+80=100 ; p1:5+9=14 ; sum=1100+100+14=1214 |
list_summation | list_summation:left-to-right | 6, 4, 8, 2 | 6+4=10 ; 10+8=18 ; 18+2=20 |
base_conversion | base_conversion:via-binary | n=145,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:1 ; OUT:91 |
multidigit_addition | multidigit_addition:rounding-decomposition | 373+531 | round:380+531=911 ; adjust:911-7=904 ; sum=904 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+63=91 | 7x+63=91 ; 7x=28 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 668+294 | round:670+294=964 ; adjust:964-2=962 ; sum=962 |
base_conversion | base_conversion:decomposition | n=165,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:2211 |
base_conversion | base_conversion:decomposition | n=5,base=2 | TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:101 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-21 | 7x-56=-21 ; x=(-21--56)/7 ; x=35/7 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 9, 5, 1 | [7,5,9,4,1] ; [9,5,7,4,1] ; [1,5,7,4,9] ; [7,5,1,4,9] ; [4,5,1,7,9] ; [5,4,1,7,9] ; [1,4,5,7,9] ; [4,1,5,7,9] ; [1,4,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 6, 7, 4 | [1,3,6,7,4] ; [1,3,6,4,7] ; [1,3,4,6,7] |
base_conversion | base_conversion:repeated-division | n=94,base=8 | DIV:94/8=11,r:6 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:136 |
base_conversion | base_conversion:repeated-division | n=233,base=8 | DIV:233/8=29,r:1 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:351 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 7, 0, 9 | [0,5,7,2,9] ; [0,2,7,5,9] ; [0,2,5,7,9] ; [0,2,5,7,9] |
list_summation | list_summation:pairwise | 3, 4, 5, 3 | 3+4=7 ; 5+3=8 ; 7+8=15 |
base_conversion | base_conversion:decomposition | n=164,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:244 |
base_conversion | base_conversion:repeated-division | n=192,base=16 | DIV:192/16=12,r:0 ; DIV:12/16=0,r:12 ; OUT:C0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-18=-32 | 2x-18=-32 ; x=(-32--18)/2 ; x=-14/2 ; x=-7 |
base_conversion | base_conversion:decomposition | n=101,base=16 | TERM:6*16^1=96 ; TERM:5*16^0=5 ; OUT:65 |
list_summation | list_summation:pairwise | 2, 2, 2, 2 | 2+2=4 ; 2+2=4 ; 4+4=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 152+637 | d2:2+7+0=9→w9,c0 ; d1:5+3+0=8→w8,c0 ; d0:1+6+0=7→w7,c0 ; sum=789 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,2) | R:(2,2) ; D:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-153 | 9x-72=-153 ; x+-8=-17 ; x=-17--8 ; x=-9 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 0, 6, 5, 9 | [0,1,6,5,9] ; [0,1,6,5,9] ; [0,1,5,6,9] ; [0,1,5,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 9, 5, 2 | [1,5,9,4,2] ; [9,5,1,4,2] ; [2,5,1,4,9] ; [5,2,1,4,9] ; [5,4,1,2,9] ; [2,4,1,5,9] ; [4,2,1,5,9] ; [1,2,4,5,9] ; [2,1,4,5,9] ; [1,2,4,5,9] |
list_summation | list_summation:pairwise | 1, 2, 2, 9 | 1+2=3 ; 2+9=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-14 | 7x-49=-14 ; x=(-14--49)/7 ; x=35/7 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 4, 8, 7, 5 | [1,4,7,8,5] ; [1,4,5,7,8] |
base_conversion | base_conversion:repeated-division | n=133,base=2 | DIV:133/2=66,r:1 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 155+832 | round:160+832=992 ; adjust:992-5=987 ; sum=987 |
base_conversion | base_conversion:via-binary | n=49,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:301 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=-6 | 2x+10=-6 ; x+5=-3 ; x=-3-5 ; x=-8 |
base_conversion | base_conversion:via-binary | n=185,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:1 ; OUT:271 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 4, 0, 5 | [0,8,4,1,5] ; [0,1,4,8,5] ; [0,1,4,8,5] ; [0,1,4,5,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 1, 8, 0 | [2,6,1,8,0] ; [2,1,6,8,0] ; [2,1,6,0,8] ; [1,2,6,0,8] ; [1,2,0,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 7, 3, 5, 4 | [7,8,3,5,4] ; [7,3,8,5,4] ; [7,3,5,8,4] ; [7,3,5,4,8] ; [3,7,5,4,8] ; [3,5,7,4,8] ; [3,5,4,7,8] ; [3,4,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 617+131 | p100:600+100=700 ; p10:10+30=40 ; p1:7+1=8 ; sum=700+40+8=748 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 564+860 | round:570+860=1430 ; adjust:1430-6=1424 ; sum=1424 |
list_summation | list_summation:pairwise | 3, 9, 0, 4 | 3+9=12 ; 0+4=4 ; 12+4=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 8, 2, 4 | [3,5,8,2,4] ; [3,5,2,8,4] ; [2,3,5,8,4] ; [2,3,4,5,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 968+450 | p100:900+400=1300 ; p10:60+50=110 ; p1:8+0=8 ; sum=1300+110+8=1418 |
base_conversion | base_conversion:via-binary | n=22,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; OUT:112 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 5, 1, 7 | [1,4,5,2,7] ; [1,2,5,4,7] ; [1,2,4,5,7] ; [1,2,4,5,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=166,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:2212 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=12 | 3x-12=12 ; x+-4=4 ; x=4--4 ; x=8 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 7, 3, 4 | [3,9,7,5,4] ; [3,4,7,5,9] ; [3,4,5,7,9] ; [3,4,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=-9 | 9x+9=-9 ; x=(-9-9)/9 ; x=-18/9 ; x=-2 |
list_summation | list_summation:pairwise | 4, 3, 7, 5 | 4+3=7 ; 7+5=12 ; 7+12=19 |
list_summation | list_summation:left-to-right | 2, 2, 3, 3 | 2+2=4 ; 4+3=7 ; 7+3=10 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 8, 3, 6 | [0,7,3,8,6] ; [0,7,3,6,8] ; [0,3,7,6,8] ; [0,3,6,7,8] |
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