task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 252+689 | round:260+689=949 ; adjust:949-8=941 ; sum=941 |
list_summation | list_summation:left-to-right | 7, 1, 8, 5 | 7+1=8 ; 8+8=16 ; 16+5=21 |
base_conversion | base_conversion:repeated-division | n=35,base=4 | DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:203 |
multidigit_addition | multidigit_addition:right-to-left-carry | 356+120 | d2:6+0+0=6→w6,c0 ; d1:5+2+0=7→w7,c0 ; d0:3+1+0=4→w4,c0 ; sum=476 |
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 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 0, 2, 1, 1 | 1+1=2 ; 2+2=4 ; 0+4=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 303+788 | p100:300+700=1000 ; p10:0+80=80 ; p1:3+8=11 ; sum=1000+80+11=1091 |
base_conversion | base_conversion:repeated-division | n=14,base=4 | DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:32 |
base_conversion | base_conversion:decomposition | n=254,base=16 | TERM:15*16^1=240 ; TERM:14*16^0=14 ; OUT:FE |
list_summation | list_summation:pairwise | 0, 8, 7, 6 | 0+8=8 ; 7+6=13 ; 8+13=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 225+664 | p100:200+600=800 ; p10:20+60=80 ; p1:5+4=9 ; sum=800+80+9=889 |
multidigit_addition | multidigit_addition:left-to-right-partials | 309+104 | p100:300+100=400 ; p10:0+0=0 ; p1:9+4=13 ; sum=400+0+13=413 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,3) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:via-binary | n=190,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10111110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 180+175 | p100:100+100=200 ; p10:80+70=150 ; p1:0+5=5 ; sum=200+150+5=355 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
list_summation | list_summation:pairwise | 5, 3, 9, 5 | 5+3=8 ; 9+5=14 ; 8+14=22 |
base_conversion | base_conversion:via-binary | n=24,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:0 ; OUT:30 |
base_conversion | base_conversion:via-binary | n=76,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:1030 |
base_conversion | base_conversion:decomposition | n=88,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:1120 |
list_summation | list_summation:right-to-left | 6, 7, 4, 9 | 4+9=13 ; 7+13=20 ; 6+20=26 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 3, 9, 0 | [6,9,3,7,0] ; [9,6,3,7,0] ; [9,7,3,6,0] ; [0,7,3,6,9] ; [7,0,3,6,9] ; [7,6,3,0,9] ; [0,6,3,7,9] ; [6,0,3,7,9] ; [3,0,6,7,9] ; [0,3,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-3=15 | 3x-3=15 ; 3x=18 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 8, 6, 2 | [5,7,6,8,2] ; [5,6,7,8,2] ; [2,5,6,7,8] |
list_summation | list_summation:pairwise | 1, 6, 8, 6 | 1+6=7 ; 8+6=14 ; 7+14=21 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 9, 2, 0 | [1,5,9,2,0] ; [1,5,9,2,0] ; [1,2,5,9,0] ; [0,1,2,5,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 7, 3, 5 | [7,6,2,3,5] ; [5,6,2,3,7] ; [6,5,2,3,7] ; [3,5,2,6,7] ; [5,3,2,6,7] ; [2,3,5,6,7] ; [3,2,5,6,7] ; [2,3,5,6,7] |
list_summation | list_summation:right-to-left | 6, 3, 5, 3 | 5+3=8 ; 3+8=11 ; 6+11=17 |
list_summation | list_summation:right-to-left | 7, 9, 4, 0 | 4+0=4 ; 9+4=13 ; 7+13=20 |
base_conversion | base_conversion:decomposition | n=167,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:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10100111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=-8 | 4x-12=-8 ; x=(-8--12)/4 ; x=4/4 ; x=1 |
list_summation | list_summation:pairwise | 1, 7, 4, 9 | 1+7=8 ; 4+9=13 ; 8+13=21 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 4, 2, 0 | [3,9,4,2,0] ; [3,9,2,4,0] ; [2,3,4,9,0] ; [0,2,3,4,9] |
base_conversion | base_conversion:via-binary | n=34,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; OUT:202 |
multidigit_addition | multidigit_addition:right-to-left-carry | 424+143 | d2:4+3+0=7→w7,c0 ; d1:2+4+0=6→w6,c0 ; d0:4+1+0=5→w5,c0 ; sum=567 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 1, 6, 3 | [8,2,1,6,3] ; [8,6,1,2,3] ; [3,6,1,2,8] ; [6,3,1,2,8] ; [2,3,1,6,8] ; [3,2,1,6,8] ; [1,2,3,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 7, 9, 1, 4 | [3,7,1,9,4] ; [1,3,7,9,4] ; [1,3,4,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 395+230 | d2:5+0+0=5→w5,c0 ; d1:9+3+0=12→w2,c1 ; d0:3+2+1=6→w6,c0 ; sum=625 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 6, 0, 2, 3 | [0,1,2,6,3] ; [0,1,2,3,6] |
list_summation | list_summation:pairwise | 6, 2, 7, 1 | 6+2=8 ; 7+1=8 ; 8+8=16 |
list_summation | list_summation:pairwise | 6, 0, 6, 0 | 6+0=6 ; 6+0=6 ; 6+6=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 771+924 | p100:700+900=1600 ; p10:70+20=90 ; p1:1+4=5 ; sum=1600+90+5=1695 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=5 | 5x+25=5 ; 5x=-20 ; x=-4 |
base_conversion | base_conversion:via-binary | n=220,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3130 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 8, 2, 5 | [2,4,8,7,5] ; [2,4,8,7,5] ; [2,4,5,7,8] ; [2,4,5,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 3, 8, 9 | [2,3,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-4 | 2x-8=-4 ; x+-4=-2 ; x=-2--4 ; x=2 |
list_summation | list_summation:right-to-left | 9, 1, 6, 7 | 6+7=13 ; 1+13=14 ; 9+14=23 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=56 | 8x+24=56 ; x+3=7 ; x=7-3 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 8, 0, 9 | [4,9,8,0,1] ; [9,4,8,0,1] ; [1,4,8,0,9] ; [8,4,1,0,9] ; [0,4,1,8,9] ; [4,0,1,8,9] ; [1,0,4,8,9] ; [0,1,4,8,9] |
base_conversion | base_conversion:decomposition | n=103,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:147 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=-72 | 8x-8=-72 ; x=(-72--8)/8 ; x=-64/8 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 5, 0, 3 | [8,1,5,0,3] ; [8,3,5,0,1] ; [1,3,5,0,8] ; [5,3,1,0,8] ; [0,3,1,5,8] ; [3,0,1,5,8] ; [1,0,3,5,8] ; [0,1,3,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-36 | 3x-21=-36 ; x+-7=-12 ; x=-12--7 ; x=-5 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 6, 4, 2 | [9,4,6,0,2] ; [2,4,6,0,9] ; [6,4,2,0,9] ; [0,4,2,6,9] ; [4,0,2,6,9] ; [2,0,4,6,9] ; [0,2,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 6, 7, 1 | [1,9,6,7,8] ; [1,6,9,7,8] ; [1,6,7,9,8] ; [1,6,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 1, 7, 5 | [3,4,1,7,5] ; [1,3,4,7,5] ; [1,3,4,5,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 5, 7, 6, 2 | [2,5,7,6,8] ; [2,5,7,6,8] ; [2,5,6,7,8] ; [2,5,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-24=-30 | 6x-24=-30 ; x=(-30--24)/6 ; x=-6/6 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 7, 8, 6 | [2,4,7,8,6] ; [2,4,7,8,6] ; [2,4,7,8,6] ; [2,4,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 210+665 | d2:0+5+0=5→w5,c0 ; d1:1+6+0=7→w7,c0 ; d0:2+6+0=8→w8,c0 ; sum=875 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=12 | 6x+30=12 ; x+5=2 ; x=2-5 ; x=-3 |
list_summation | list_summation:pairwise | 5, 1, 5, 9 | 5+1=6 ; 5+9=14 ; 6+14=20 |
list_summation | list_summation:right-to-left | 5, 6, 2, 9 | 2+9=11 ; 6+11=17 ; 5+17=22 |
list_summation | list_summation:pairwise | 3, 1, 8, 0 | 3+1=4 ; 8+0=8 ; 4+8=12 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+6=30 | 6x+6=30 ; 6x=24 ; x=4 |
base_conversion | base_conversion:decomposition | n=100,base=16 | TERM:6*16^1=96 ; TERM:4*16^0=4 ; OUT:64 |
base_conversion | base_conversion:decomposition | n=226,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:342 |
multidigit_addition | multidigit_addition:right-to-left-carry | 695+308 | d2:5+8+0=13→w3,c1 ; d1:9+0+1=10→w0,c1 ; d0:6+3+1=10→w0,c1 ; sum=1003 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 5, 2, 7 | [1,6,5,2,7] ; [1,5,6,2,7] ; [1,2,5,6,7] ; [1,2,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 821+197 | round:830+197=1027 ; adjust:1027-9=1018 ; sum=1018 |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:via-binary | n=238,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:6 ; OUT:356 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 0, 1, 6, 2 | [9,6,1,0,2] ; [2,6,1,0,9] ; [6,2,1,0,9] ; [0,2,1,6,9] ; [2,0,1,6,9] ; [1,0,2,6,9] ; [0,1,2,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 2, 4, 9 | [1,8,2,4,9] ; [1,2,8,4,9] ; [1,2,4,8,9] ; [1,2,4,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
base_conversion | base_conversion:decomposition | n=122,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:0*2^0=0 ; OUT:1111010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 996+492 | round:1000+492=1492 ; adjust:1492-4=1488 ; sum=1488 |
base_conversion | base_conversion:via-binary | n=235,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:3 ; OUT:353 |
list_summation | list_summation:right-to-left | 8, 6, 1, 9 | 1+9=10 ; 6+10=16 ; 8+16=24 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 165+744 | round:170+744=914 ; adjust:914-5=909 ; sum=909 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 178+458 | d2:8+8+0=16→w6,c1 ; d1:7+5+1=13→w3,c1 ; d0:1+4+1=6→w6,c0 ; sum=636 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 7, 5, 2, 1 | [1,7,5,2,9] ; [7,1,5,2,9] ; [7,2,5,1,9] ; [1,2,5,7,9] ; [5,2,1,7,9] ; [1,2,5,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,5) | D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=32,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:100000 |
base_conversion | base_conversion:repeated-division | n=129,base=4 | DIV:129/4=32,r:1 ; DIV:32/4=8,r:0 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2001 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
list_summation | list_summation:pairwise | 5, 9, 9, 8 | 5+9=14 ; 9+8=17 ; 14+17=31 |
list_summation | list_summation:left-to-right | 1, 3, 7, 9 | 1+3=4 ; 4+7=11 ; 11+9=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,1) | R:(0,1) ; D:(1,1) |
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