task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 786+783 | p100:700+700=1400 ; p10:80+80=160 ; p1:6+3=9 ; sum=1400+160+9=1569 |
list_summation | list_summation:right-to-left | 9, 7, 5, 0 | 5+0=5 ; 7+5=12 ; 9+12=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-6 | 6x-30=-6 ; 6x=24 ; x=4 |
base_conversion | base_conversion:repeated-division | n=140,base=16 | DIV:140/16=8,r:12 ; DIV:8/16=0,r:8 ; OUT:8C |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 6, 7, 9 | [1,2,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+24=-18 | 6x+24=-18 ; 6x=-42 ; x=-7 |
list_summation | list_summation:right-to-left | 0, 1, 1, 2 | 1+2=3 ; 1+3=4 ; 0+4=4 |
list_summation | list_summation:right-to-left | 9, 1, 1, 0 | 1+0=1 ; 1+1=2 ; 9+2=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 502+529 | p100:500+500=1000 ; p10:0+20=20 ; p1:2+9=11 ; sum=1000+20+11=1031 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,5) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 642+749 | round:650+749=1399 ; adjust:1399-8=1391 ; sum=1391 |
list_summation | list_summation:right-to-left | 9, 6, 2, 2 | 2+2=4 ; 6+4=10 ; 9+10=19 |
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) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 0, 9, 2 | [1,0,3,9,2] ; [1,0,3,2,9] ; [0,1,3,2,9] ; [0,1,2,3,9] |
base_conversion | base_conversion:decomposition | n=210,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:2*8^0=2 ; OUT:322 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-30 | 2x-16=-30 ; 2x=-14 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 2, 4, 3 | [6,7,2,4,3] ; [2,4,6,7,3] ; [2,3,4,6,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,5) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 433+307 | p100:400+300=700 ; p10:30+0=30 ; p1:3+7=10 ; sum=700+30+10=740 |
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 | 669+148 | round:670+148=818 ; adjust:818-1=817 ; sum=817 |
multidigit_addition | multidigit_addition:right-to-left-carry | 776+251 | d2:6+1+0=7→w7,c0 ; d1:7+5+0=12→w2,c1 ; d0:7+2+1=10→w0,c1 ; sum=1027 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 9, 4, 0 | [1,6,9,4,0] ; [1,6,4,9,0] ; [1,4,6,9,0] ; [0,1,4,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 980+777 | round:980+777=1757 ; adjust:1757-0=1757 ; sum=1757 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(2,5) | D:(2,4) ; R:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(5,5) | D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=194,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:2*8^0=2 ; OUT:302 |
list_summation | list_summation:left-to-right | 3, 8, 3, 0 | 3+8=11 ; 11+3=14 ; 14+0=14 |
base_conversion | base_conversion:repeated-division | n=39,base=8 | DIV:39/8=4,r:7 ; DIV:4/8=0,r:4 ; OUT:47 |
multidigit_addition | multidigit_addition:rounding-decomposition | 562+690 | round:570+690=1260 ; adjust:1260-8=1252 ; sum=1252 |
multidigit_addition | multidigit_addition:left-to-right-partials | 132+632 | p100:100+600=700 ; p10:30+30=60 ; p1:2+2=4 ; sum=700+60+4=764 |
list_summation | list_summation:left-to-right | 3, 2, 6, 8 | 3+2=5 ; 5+6=11 ; 11+8=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 186+676 | d2:6+6+0=12→w2,c1 ; d1:8+7+1=16→w6,c1 ; d0:1+6+1=8→w8,c0 ; sum=862 |
list_summation | list_summation:left-to-right | 8, 3, 5, 0 | 8+3=11 ; 11+5=16 ; 16+0=16 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 3, 2, 0 | [4,2,3,1,0] ; [0,2,3,1,4] ; [3,2,0,1,4] ; [1,2,0,3,4] ; [2,1,0,3,4] ; [0,1,2,3,4] ; [1,0,2,3,4] ; [0,1,2,3,4] |
multidigit_addition | multidigit_addition:rounding-decomposition | 982+965 | round:990+965=1955 ; adjust:1955-8=1947 ; sum=1947 |
list_summation | list_summation:pairwise | 1, 6, 4, 2 | 1+6=7 ; 4+2=6 ; 7+6=13 |
base_conversion | base_conversion:repeated-division | n=23,base=16 | DIV:23/16=1,r:7 ; DIV:1/16=0,r:1 ; OUT:17 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 7, 2, 6, 8 | [7,9,2,6,8] ; [7,2,9,6,8] ; [7,2,6,9,8] ; [7,2,6,8,9] ; [2,7,6,8,9] ; [2,6,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 4, 5, 9 | [0,4,7,5,9] ; [0,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=136,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10001000 |
list_summation | list_summation:left-to-right | 1, 7, 0, 0 | 1+7=8 ; 8+0=8 ; 8+0=8 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 3, 9, 7, 8 | [3,6,9,7,8] ; [3,6,9,7,8] ; [3,6,7,9,8] ; [3,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=6 | 2x-6=6 ; 2x=12 ; x=6 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 8, 0, 3 | [8,6,2,0,3] ; [3,6,2,0,8] ; [6,3,2,0,8] ; [0,3,2,6,8] ; [3,0,2,6,8] ; [2,0,3,6,8] ; [0,2,3,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-28=-21 | 7x-28=-21 ; x=(-21--28)/7 ; x=7/7 ; x=1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,3) | D:(5,1) ; R:(5,2) ; R:(5,3) |
base_conversion | base_conversion:via-binary | n=208,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:0 ; OUT:D0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+3=-12 | 3x+3=-12 ; 3x=-15 ; x=-5 |
base_conversion | base_conversion:via-binary | n=231,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:7 ; OUT:E7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 3, 4, 2 | [0,3,8,4,2] ; [0,3,4,8,2] ; [0,3,4,2,8] ; [0,3,2,4,8] ; [0,2,3,4,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 859+224 | round:860+224=1084 ; adjust:1084-1=1083 ; sum=1083 |
multidigit_addition | multidigit_addition:right-to-left-carry | 378+401 | d2:8+1+0=9→w9,c0 ; d1:7+0+0=7→w7,c0 ; d0:3+4+0=7→w7,c0 ; sum=779 |
multidigit_addition | multidigit_addition:rounding-decomposition | 726+711 | round:730+711=1441 ; adjust:1441-4=1437 ; sum=1437 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 7, 2, 1, 4 | 7+2=9 ; 9+1=10 ; 10+4=14 |
list_summation | list_summation:right-to-left | 9, 7, 0, 2 | 0+2=2 ; 7+2=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 489+340 | d2:9+0+0=9→w9,c0 ; d1:8+4+0=12→w2,c1 ; d0:4+3+1=8→w8,c0 ; sum=829 |
list_summation | list_summation:pairwise | 7, 6, 7, 6 | 7+6=13 ; 7+6=13 ; 13+13=26 |
list_summation | list_summation:pairwise | 8, 6, 9, 3 | 8+6=14 ; 9+3=12 ; 14+12=26 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 6, 7, 5 | [2,3,6,7,5] ; [2,3,6,7,5] ; [2,3,5,7,6] ; [2,3,5,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 6, 2, 7 | [0,4,6,2,7] ; [0,4,6,2,7] ; [0,2,4,6,7] ; [0,2,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 734+925 | p100:700+900=1600 ; p10:30+20=50 ; p1:4+5=9 ; sum=1600+50+9=1659 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 8, 6, 3, 0 | [5,6,8,3,0] ; [5,6,3,8,0] ; [5,6,3,0,8] ; [5,3,6,0,8] ; [5,3,0,6,8] ; [3,5,0,6,8] ; [3,0,5,6,8] ; [0,3,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 0, 2, 5, 7 | [0,1,2,5,7] ; [0,1,2,5,7] ; [0,1,2,5,7] ; [0,1,2,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 670+288 | round:670+288=958 ; adjust:958-0=958 ; sum=958 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+32=-16 | 8x+32=-16 ; x+4=-2 ; x=-2-4 ; x=-6 |
list_summation | list_summation:pairwise | 0, 6, 1, 8 | 0+6=6 ; 1+8=9 ; 6+9=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 708+825 | d2:8+5+0=13→w3,c1 ; d1:0+2+1=3→w3,c0 ; d0:7+8+0=15→w5,c1 ; sum=1533 |
list_summation | list_summation:pairwise | 5, 7, 9, 7 | 5+7=12 ; 9+7=16 ; 12+16=28 |
base_conversion | base_conversion:decomposition | n=77,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1001101 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 3, 5, 7 | [1,4,3,5,7] ; [1,3,4,5,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 9, 8, 6 | [3,5,9,8,6] ; [3,5,8,9,6] ; [3,5,8,6,9] ; [3,5,6,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 3, 7, 6 | [2,3,7,9,6] ; [2,3,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=9 | 9x+27=9 ; x=(9-27)/9 ; x=-18/9 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 304+824 | round:310+824=1134 ; adjust:1134-6=1128 ; sum=1128 |
multidigit_addition | multidigit_addition:left-to-right-partials | 828+850 | p100:800+800=1600 ; p10:20+50=70 ; p1:8+0=8 ; sum=1600+70+8=1678 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=229,base=16 | TERM:14*16^1=224 ; TERM:5*16^0=5 ; OUT:E5 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 4, 9, 8 | [1,6,4,9,8] ; [1,4,6,9,8] ; [1,4,6,8,9] |
base_conversion | base_conversion:repeated-division | n=2,base=4 | DIV:2/4=0,r:2 ; OUT:2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,1) | D:(3,0) ; R:(3,1) |
multidigit_addition | multidigit_addition:left-to-right-partials | 505+936 | p100:500+900=1400 ; p10:0+30=30 ; p1:5+6=11 ; sum=1400+30+11=1441 |
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 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 1, 4, 8 | [1,9,6,4,8] ; [1,4,6,9,8] ; [1,4,6,9,8] ; [1,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 254+341 | p100:200+300=500 ; p10:50+40=90 ; p1:4+1=5 ; sum=500+90+5=595 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 793+170 | round:800+170=970 ; adjust:970-7=963 ; sum=963 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=48 | 8x+32=48 ; x=(48-32)/8 ; x=16/8 ; x=2 |
base_conversion | base_conversion:decomposition | n=23,base=16 | TERM:1*16^1=16 ; TERM:7*16^0=7 ; OUT:17 |
base_conversion | base_conversion:via-binary | n=218,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11011010 |
multidigit_addition | multidigit_addition:left-to-right-partials | 883+391 | p100:800+300=1100 ; p10:80+90=170 ; p1:3+1=4 ; sum=1100+170+4=1274 |
multidigit_addition | multidigit_addition:right-to-left-carry | 415+351 | d2:5+1+0=6→w6,c0 ; d1:1+5+0=6→w6,c0 ; d0:4+3+0=7→w7,c0 ; sum=766 |
list_summation | list_summation:left-to-right | 1, 0, 3, 3 | 1+0=1 ; 1+3=4 ; 4+3=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=0 | 2x+0=0 ; x=(0-0)/2 ; x=0/2 ; x=0 |
base_conversion | base_conversion:via-binary | n=148,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:4 ; OUT:224 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 2, 9, 0 | [0,1,2,9,7] ; [0,1,2,9,7] ; [0,1,2,9,7] ; [0,1,2,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
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