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=123,base=8 | TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:3*8^0=3 ; OUT:173 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=32 | 4x+24=32 ; x=(32-24)/4 ; x=8/4 ; x=2 |
base_conversion | base_conversion:via-binary | n=101,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1100101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(5,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 0, 2, 4 | [3,7,0,2,4] ; [3,0,7,2,4] ; [3,0,2,7,4] ; [3,0,2,4,7] ; [0,3,2,4,7] ; [0,2,3,4,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+8=40 | 4x+8=40 ; x=(40-8)/4 ; x=32/4 ; x=8 |
list_summation | list_summation:right-to-left | 4, 2, 5, 7 | 5+7=12 ; 2+12=14 ; 4+14=18 |
base_conversion | base_conversion:decomposition | n=112,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:1300 |
list_summation | list_summation:right-to-left | 5, 3, 6, 9 | 6+9=15 ; 3+15=18 ; 5+18=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-24=24 | 6x-24=24 ; 6x=48 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 823+538 | round:830+538=1368 ; adjust:1368-7=1361 ; sum=1361 |
multidigit_addition | multidigit_addition:left-to-right-partials | 213+709 | p100:200+700=900 ; p10:10+0=10 ; p1:3+9=12 ; sum=900+10+12=922 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=-21 | 3x+0=-21 ; x=(-21-0)/3 ; x=-21/3 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-65 | 5x-40=-65 ; x+-8=-13 ; x=-13--8 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-42 | 3x-24=-42 ; x+-8=-14 ; x=-14--8 ; x=-6 |
list_summation | list_summation:right-to-left | 9, 3, 9, 0 | 9+0=9 ; 3+9=12 ; 9+12=21 |
list_summation | list_summation:right-to-left | 7, 3, 3, 1 | 3+1=4 ; 3+4=7 ; 7+7=14 |
base_conversion | base_conversion:decomposition | n=160,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10100000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=-12 | 2x-8=-12 ; 2x=-4 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=-14 | 2x-8=-14 ; x=(-14--8)/2 ; x=-6/2 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 961+171 | d2:1+1+0=2→w2,c0 ; d1:6+7+0=13→w3,c1 ; d0:9+1+1=11→w1,c1 ; sum=1132 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=21 | 7x+0=21 ; x=(21-0)/7 ; x=21/7 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 6, 3, 5, 0 | [0,6,3,5,7] ; [6,0,3,5,7] ; [6,5,3,0,7] ; [0,5,3,6,7] ; [5,0,3,6,7] ; [3,0,5,6,7] ; [0,3,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 581+483 | p100:500+400=900 ; p10:80+80=160 ; p1:1+3=4 ; sum=900+160+4=1064 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=-48 | 6x-18=-48 ; x+-3=-8 ; x=-8--3 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-27 | 9x-72=-27 ; x+-8=-3 ; x=-3--8 ; x=5 |
base_conversion | base_conversion:repeated-division | n=19,base=2 | DIV:19/2=9,r:1 ; 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:10011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 196+186 | p100:100+100=200 ; p10:90+80=170 ; p1:6+6=12 ; sum=200+170+12=382 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 7, 6, 0, 2 | [1,7,6,0,2] ; [1,6,7,0,2] ; [0,1,6,7,2] ; [0,1,2,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 110+839 | d2:0+9+0=9→w9,c0 ; d1:1+3+0=4→w4,c0 ; d0:1+8+0=9→w9,c0 ; sum=949 |
list_summation | list_summation:pairwise | 8, 7, 5, 5 | 8+7=15 ; 5+5=10 ; 15+10=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 3, 1, 8, 2 | [0,8,1,3,2] ; [8,0,1,3,2] ; [8,3,1,0,2] ; [2,3,1,0,8] ; [3,2,1,0,8] ; [0,2,1,3,8] ; [2,0,1,3,8] ; [1,0,2,3,8] ; [0,1,2,3,8] |
base_conversion | base_conversion:repeated-division | n=81,base=2 | DIV:81/2=40,r:1 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010001 |
list_summation | list_summation:pairwise | 0, 7, 7, 9 | 0+7=7 ; 7+9=16 ; 7+16=23 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 0, 7, 8 | [4,8,0,7,1] ; [8,4,0,7,1] ; [8,7,0,4,1] ; [1,7,0,4,8] ; [7,1,0,4,8] ; [7,4,0,1,8] ; [1,4,0,7,8] ; [4,1,0,7,8] ; [0,1,4,7,8] ; [1,0,4,7,8] ; [0,1,4,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-6 | 3x-21=-6 ; 3x=15 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,3) | R:(1,3) ; D:(2,3) ; D:(3,3) |
base_conversion | base_conversion:repeated-division | n=49,base=2 | DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:110001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 812+405 | p100:800+400=1200 ; p10:10+0=10 ; p1:2+5=7 ; sum=1200+10+7=1217 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 8, 6, 3 | [2,5,8,6,3] ; [2,5,8,6,3] ; [2,5,6,8,3] ; [2,3,5,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 608+973 | d2:8+3+0=11→w1,c1 ; d1:0+7+1=8→w8,c0 ; d0:6+9+0=15→w5,c1 ; sum=1581 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-20=-56 | 4x-20=-56 ; x+-5=-14 ; x=-14--5 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
list_summation | list_summation:pairwise | 2, 5, 0, 9 | 2+5=7 ; 0+9=9 ; 7+9=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=72 | 8x+48=72 ; x+6=9 ; x=9-6 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 100+845 | round:100+845=945 ; adjust:945-0=945 ; sum=945 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=49 | 7x+28=49 ; x=(49-28)/7 ; x=21/7 ; x=3 |
base_conversion | base_conversion:repeated-division | n=196,base=4 | DIV:196/4=49,r:0 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 9, 0, 7 | [3,5,9,0,7] ; [3,5,0,9,7] ; [3,5,0,7,9] ; [3,0,5,7,9] ; [0,3,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:right-to-left | 5, 8, 8, 8 | 8+8=16 ; 8+16=24 ; 5+24=29 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+8=20 | 2x+8=20 ; 2x=12 ; x=6 |
base_conversion | base_conversion:repeated-division | n=129,base=2 | DIV:129/2=64,r:1 ; DIV:64/2=32,r:0 ; DIV:32/2=16,r:0 ; 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:10000001 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=0 | 3x-15=0 ; 3x=15 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+32=-8 | 8x+32=-8 ; x+4=-1 ; x=-1-4 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 119+937 | p100:100+900=1000 ; p10:10+30=40 ; p1:9+7=16 ; sum=1000+40+16=1056 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,5) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 188+892 | d2:8+2+0=10→w0,c1 ; d1:8+9+1=18→w8,c1 ; d0:1+8+1=10→w0,c1 ; sum=1080 |
list_summation | list_summation:left-to-right | 8, 2, 1, 7 | 8+2=10 ; 10+1=11 ; 11+7=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 349+509 | round:350+509=859 ; adjust:859-1=858 ; sum=858 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=112 | 8x+64=112 ; x=(112-64)/8 ; x=48/8 ; x=6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 560+621 | d2:0+1+0=1→w1,c0 ; d1:6+2+0=8→w8,c0 ; d0:5+6+0=11→w1,c1 ; sum=1181 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 9, 8, 7, 4 | [6,9,7,8,4] ; [6,7,8,9,4] ; [4,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=55,base=16 | DIV:55/16=3,r:7 ; DIV:3/16=0,r:3 ; OUT:37 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 8, 1, 6 | [3,9,8,1,6] ; [3,8,9,1,6] ; [3,8,1,9,6] ; [3,8,1,6,9] ; [3,1,8,6,9] ; [3,1,6,8,9] ; [1,3,6,8,9] |
base_conversion | base_conversion:via-binary | n=115,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1303 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=4 | 4x+8=4 ; 4x=-4 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 8, 5, 2 | [0,3,8,5,2] ; [0,3,5,8,2] ; [0,2,3,5,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 561+656 | p100:500+600=1100 ; p10:60+50=110 ; p1:1+6=7 ; sum=1100+110+7=1217 |
base_conversion | base_conversion:via-binary | n=207,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11001111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 1, 0, 0, 8 | 1+0=1 ; 1+0=1 ; 1+8=9 |
base_conversion | base_conversion:via-binary | n=150,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:2112 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 8, 4, 6, 1 | [5,8,4,6,1] ; [4,5,8,6,1] ; [4,5,6,8,1] ; [1,4,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-21=-15 | 3x-21=-15 ; x=(-15--21)/3 ; x=6/3 ; x=2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 590+392 | round:590+392=982 ; adjust:982-0=982 ; sum=982 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 1, 3, 5, 4 | [1,2,3,5,4] ; [1,2,3,4,5] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 7, 8, 6 | [4,7,9,8,6] ; [4,7,8,9,6] ; [4,7,8,6,9] ; [4,7,6,8,9] ; [4,6,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 7, 0, 5 | [1,8,7,0,5] ; [1,7,8,0,5] ; [1,7,0,8,5] ; [1,7,0,5,8] ; [1,0,7,5,8] ; [1,0,5,7,8] ; [0,1,5,7,8] |
base_conversion | base_conversion:repeated-division | n=150,base=4 | DIV:150/4=37,r:2 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2112 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 9, 5, 0 | [1,6,9,5,0] ; [1,6,9,5,0] ; [1,5,6,9,0] ; [0,1,5,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=27 | 3x+15=27 ; x+5=9 ; x=9-5 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,4) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 485+336 | d2:5+6+0=11→w1,c1 ; d1:8+3+1=12→w2,c1 ; d0:4+3+1=8→w8,c0 ; sum=821 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,2) | D:(1,0) ; R:(1,1) ; R:(1,2) |
base_conversion | base_conversion:via-binary | n=154,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:10 ; OUT:9A |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+8=22 | 2x+8=22 ; 2x=14 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 141+901 | d2:1+1+0=2→w2,c0 ; d1:4+0+0=4→w4,c0 ; d0:1+9+0=10→w0,c1 ; sum=1042 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 6, 1, 7, 4 | [3,7,1,6,4] ; [7,3,1,6,4] ; [7,6,1,3,4] ; [4,6,1,3,7] ; [6,4,1,3,7] ; [3,4,1,6,7] ; [4,3,1,6,7] ; [1,3,4,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
list_summation | list_summation:left-to-right | 6, 7, 6, 1 | 6+7=13 ; 13+6=19 ; 19+1=20 |
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