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=24,base=4 | DIV:24/4=6,r:0 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:120 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 7, 2 | [6,9,4,7,2] ; [4,6,9,7,2] ; [4,6,7,9,2] ; [2,4,6,7,9] |
base_conversion | base_conversion:decomposition | n=206,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:316 |
multidigit_addition | multidigit_addition:rounding-decomposition | 757+241 | round:760+241=1001 ; adjust:1001-3=998 ; sum=998 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-85 | 5x-40=-85 ; x+-8=-17 ; x=-17--8 ; x=-9 |
base_conversion | base_conversion:via-binary | n=55,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:110111 |
base_conversion | base_conversion:decomposition | n=229,base=16 | TERM:14*16^1=224 ; TERM:5*16^0=5 ; OUT:E5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,3) | D:(1,0) ; R:(1,1) ; R:(1,2) ; R:(1,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 635+662 | p100:600+600=1200 ; p10:30+60=90 ; p1:5+2=7 ; sum=1200+90+7=1297 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=0 | 8x-48=0 ; 8x=48 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=104 | 8x+72=104 ; x+9=13 ; x=13-9 ; x=4 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 2, 6, 8 | [1,9,2,6,8] ; [1,2,6,9,8] ; [1,2,6,8,9] |
base_conversion | base_conversion:repeated-division | n=139,base=8 | DIV:139/8=17,r:3 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:213 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-21=-3 | 3x-21=-3 ; x+-7=-1 ; x=-1--7 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 9, 2, 8 | [0,1,2,9,8] ; [0,1,2,8,9] |
base_conversion | base_conversion:repeated-division | n=10,base=8 | DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 982+587 | p100:900+500=1400 ; p10:80+80=160 ; p1:2+7=9 ; sum=1400+160+9=1569 |
list_summation | list_summation:left-to-right | 5, 6, 4, 8 | 5+6=11 ; 11+4=15 ; 15+8=23 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 130+330 | d2:0+0+0=0→w0,c0 ; d1:3+3+0=6→w6,c0 ; d0:1+3+0=4→w4,c0 ; sum=460 |
base_conversion | base_conversion:via-binary | n=29,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:13 ; OUT:1D |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,4) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 4, 3, 0 | [5,6,4,3,0] ; [5,6,3,4,0] ; [3,4,5,6,0] ; [0,3,4,5,6] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 9, 5, 3 | [0,8,9,5,3] ; [0,3,9,5,8] ; [0,3,5,9,8] ; [0,3,5,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 614+970 | round:620+970=1590 ; adjust:1590-6=1584 ; sum=1584 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 170+127 | d2:0+7+0=7→w7,c0 ; d1:7+2+0=9→w9,c0 ; d0:1+1+0=2→w2,c0 ; sum=297 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 1, 2, 9 | [4,6,1,2,9] ; [1,4,6,2,9] ; [1,2,4,6,9] ; [1,2,4,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=56 | 8x+8=56 ; 8x=48 ; x=6 |
base_conversion | base_conversion:via-binary | n=144,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:0 ; OUT:90 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 9, 0, 5 | [6,8,0,9,5] ; [6,8,0,5,9] ; [6,0,8,5,9] ; [6,0,5,8,9] ; [0,6,5,8,9] ; [0,5,6,8,9] |
list_summation | list_summation:left-to-right | 9, 3, 4, 6 | 9+3=12 ; 12+4=16 ; 16+6=22 |
base_conversion | base_conversion:decomposition | n=253,base=8 | TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:5*8^0=5 ; OUT:375 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 8, 7, 0, 6 | [5,8,7,0,6] ; [5,7,8,0,6] ; [0,5,7,8,6] ; [0,5,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 339+980 | d2:9+0+0=9→w9,c0 ; d1:3+8+0=11→w1,c1 ; d0:3+9+1=13→w3,c1 ; sum=1319 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=27 | 9x+81=27 ; x+9=3 ; x=3-9 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+36=56 | 4x+36=56 ; x+9=14 ; x=14-9 ; x=5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 5, 6, 0 | [8,9,5,6,0] ; [5,8,9,6,0] ; [5,6,8,9,0] ; [0,5,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 297+160 | d2:7+0+0=7→w7,c0 ; d1:9+6+0=15→w5,c1 ; d0:2+1+1=4→w4,c0 ; sum=457 |
list_summation | list_summation:left-to-right | 7, 5, 2, 9 | 7+5=12 ; 12+2=14 ; 14+9=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=44 | 4x+12=44 ; x=(44-12)/4 ; x=32/4 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 2, 1, 6 | [8,3,2,1,6] ; [8,6,2,1,3] ; [3,6,2,1,8] ; [6,3,2,1,8] ; [1,3,2,6,8] ; [3,1,2,6,8] ; [2,1,3,6,8] ; [1,2,3,6,8] |
base_conversion | base_conversion:decomposition | n=95,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1133 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=56 | 8x+8=56 ; 8x=48 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,4) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
list_summation | list_summation:right-to-left | 3, 0, 4, 0 | 4+0=4 ; 0+4=4 ; 3+4=7 |
list_summation | list_summation:pairwise | 0, 3, 2, 4 | 0+3=3 ; 2+4=6 ; 3+6=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 819+667 | round:820+667=1487 ; adjust:1487-1=1486 ; sum=1486 |
multidigit_addition | multidigit_addition:right-to-left-carry | 707+857 | d2:7+7+0=14→w4,c1 ; d1:0+5+1=6→w6,c0 ; d0:7+8+0=15→w5,c1 ; sum=1564 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+56=7 | 7x+56=7 ; 7x=-49 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,3) | D:(5,2) ; R:(5,3) |
base_conversion | base_conversion:decomposition | n=86,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1010110 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 5, 0, 2 | [7,8,5,0,2] ; [7,8,0,5,2] ; [0,5,7,8,2] ; [0,2,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 8, 0, 7 | [0,2,8,4,7] ; [0,2,8,4,7] ; [0,2,4,8,7] ; [0,2,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=162,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:242 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-18 | 2x-12=-18 ; x+-6=-9 ; x=-9--6 ; x=-3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-70 | 7x-49=-70 ; 7x=-21 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:left-to-right | 9, 0, 5, 6 | 9+0=9 ; 9+5=14 ; 14+6=20 |
base_conversion | base_conversion:via-binary | n=97,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:1 ; OUT:141 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 527+473 | p100:500+400=900 ; p10:20+70=90 ; p1:7+3=10 ; sum=900+90+10=1000 |
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) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 3, 7, 9 | [4,5,3,7,9] ; [3,4,5,7,9] ; [3,4,5,7,9] ; [3,4,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 269+278 | p100:200+200=400 ; p10:60+70=130 ; p1:9+8=17 ; sum=400+130+17=547 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=-35 | 5x-5=-35 ; x+-1=-7 ; x=-7--1 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 325+352 | round:330+352=682 ; adjust:682-5=677 ; sum=677 |
base_conversion | base_conversion:decomposition | n=71,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:1013 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-27 | 9x-81=-27 ; 9x=54 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=6 | 2x+16=6 ; x+8=3 ; x=3-8 ; x=-5 |
base_conversion | base_conversion:decomposition | n=27,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:123 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=-30 | 5x-10=-30 ; 5x=-20 ; x=-4 |
list_summation | list_summation:left-to-right | 1, 7, 8, 6 | 1+7=8 ; 8+8=16 ; 16+6=22 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 5, 6, 1 | [1,9,5,6,4] ; [1,4,5,6,9] ; [1,4,5,6,9] ; [1,4,5,6,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 4, 7, 3, 2 | [0,4,7,3,2] ; [0,2,7,3,4] ; [0,2,3,7,4] ; [0,2,3,4,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 713+805 | round:720+805=1525 ; adjust:1525-7=1518 ; sum=1518 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-35=-21 | 7x-35=-21 ; x=(-21--35)/7 ; x=14/7 ; x=2 |
list_summation | list_summation:right-to-left | 8, 7, 5, 3 | 5+3=8 ; 7+8=15 ; 8+15=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=54 | 9x+72=54 ; 9x=-18 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 4, 6, 0 | [8,9,4,6,0] ; [4,8,9,6,0] ; [4,6,8,9,0] ; [0,4,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=-15 | 5x+5=-15 ; x=(-15-5)/5 ; x=-20/5 ; x=-4 |
list_summation | list_summation:left-to-right | 5, 2, 8, 6 | 5+2=7 ; 7+8=15 ; 15+6=21 |
list_summation | list_summation:left-to-right | 3, 3, 9, 5 | 3+3=6 ; 6+9=15 ; 15+5=20 |
list_summation | list_summation:left-to-right | 8, 7, 0, 2 | 8+7=15 ; 15+0=15 ; 15+2=17 |
base_conversion | base_conversion:decomposition | n=95,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1011111 |
list_summation | list_summation:left-to-right | 4, 5, 1, 1 | 4+5=9 ; 9+1=10 ; 10+1=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=5 | 5x+25=5 ; 5x=-20 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
base_conversion | base_conversion:repeated-division | n=17,base=2 | DIV:17/2=8,r:1 ; 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:10001 |
base_conversion | base_conversion:decomposition | n=88,base=8 | TERM:1*8^2=64 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:130 |
list_summation | list_summation:right-to-left | 2, 2, 1, 8 | 1+8=9 ; 2+9=11 ; 2+11=13 |
base_conversion | base_conversion:decomposition | n=14,base=8 | TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:16 |
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