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=184,base=16 | TERM:11*16^1=176 ; TERM:8*16^0=8 ; OUT:B8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=77 | 7x+42=77 ; 7x=35 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 872+528 | round:880+528=1408 ; adjust:1408-8=1400 ; sum=1400 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=8 | 2x+2=8 ; 2x=6 ; x=3 |
base_conversion | base_conversion:repeated-division | n=135,base=8 | DIV:135/8=16,r:7 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:207 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 966+891 | round:970+891=1861 ; adjust:1861-4=1857 ; sum=1857 |
multidigit_addition | multidigit_addition:right-to-left-carry | 655+853 | d2:5+3+0=8→w8,c0 ; d1:5+5+0=10→w0,c1 ; d0:6+8+1=15→w5,c1 ; sum=1508 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 2, 8, 6 | [5,9,2,8,6] ; [5,2,9,8,6] ; [5,2,8,9,6] ; [5,2,8,6,9] ; [2,5,8,6,9] ; [2,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,5) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 364+985 | p100:300+900=1200 ; p10:60+80=140 ; p1:4+5=9 ; sum=1200+140+9=1349 |
multidigit_addition | multidigit_addition:right-to-left-carry | 346+884 | d2:6+4+0=10→w0,c1 ; d1:4+8+1=13→w3,c1 ; d0:3+8+1=12→w2,c1 ; sum=1230 |
base_conversion | base_conversion:repeated-division | n=237,base=8 | DIV:237/8=29,r:5 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:355 |
base_conversion | base_conversion:via-binary | n=43,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:3 ; OUT:53 |
multidigit_addition | multidigit_addition:left-to-right-partials | 578+477 | p100:500+400=900 ; p10:70+70=140 ; p1:8+7=15 ; sum=900+140+15=1055 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 8, 6, 3 | [0,9,8,6,3] ; [0,8,9,6,3] ; [0,6,8,9,3] ; [0,3,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 5, 8, 7 | [9,8,5,3,7] ; [7,8,5,3,9] ; [8,7,5,3,9] ; [3,7,5,8,9] ; [7,3,5,8,9] ; [5,3,7,8,9] ; [3,5,7,8,9] |
list_summation | list_summation:pairwise | 7, 2, 3, 7 | 7+2=9 ; 3+7=10 ; 9+10=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,3) | D:(4,2) ; D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 6, 5, 2 | [8,9,6,5,2] ; [8,9,5,6,2] ; [5,6,8,9,2] ; [2,5,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 620+885 | p100:600+800=1400 ; p10:20+80=100 ; p1:0+5=5 ; sum=1400+100+5=1505 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 2, 1, 8 | [0,7,1,2,8] ; [0,1,2,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 339+742 | round:340+742=1082 ; adjust:1082-1=1081 ; sum=1081 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 4, 0, 8 | [6,8,4,0,1] ; [8,6,4,0,1] ; [1,6,4,0,8] ; [6,1,4,0,8] ; [0,1,4,6,8] ; [4,1,0,6,8] ; [0,1,4,6,8] ; [1,0,4,6,8] ; [0,1,4,6,8] |
base_conversion | base_conversion:repeated-division | n=21,base=4 | DIV:21/4=5,r:1 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:111 |
multidigit_addition | multidigit_addition:rounding-decomposition | 878+917 | round:880+917=1797 ; adjust:1797-2=1795 ; sum=1795 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 5, 4, 0 | [0,7,5,4,3] ; [0,3,5,4,7] ; [0,3,4,5,7] ; [0,3,4,5,7] |
list_summation | list_summation:right-to-left | 2, 5, 4, 3 | 4+3=7 ; 5+7=12 ; 2+12=14 |
list_summation | list_summation:pairwise | 0, 3, 8, 1 | 0+3=3 ; 8+1=9 ; 3+9=12 |
multidigit_addition | multidigit_addition:right-to-left-carry | 459+250 | d2:9+0+0=9→w9,c0 ; d1:5+5+0=10→w0,c1 ; d0:4+2+1=7→w7,c0 ; sum=709 |
list_summation | list_summation:right-to-left | 7, 4, 4, 9 | 4+9=13 ; 4+13=17 ; 7+17=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 117+566 | round:120+566=686 ; adjust:686-3=683 ; sum=683 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=110,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:14 ; OUT:6E |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=18 | 3x+21=18 ; x+7=6 ; x=6-7 ; x=-1 |
list_summation | list_summation:left-to-right | 3, 7, 6, 1 | 3+7=10 ; 10+6=16 ; 16+1=17 |
list_summation | list_summation:right-to-left | 7, 0, 1, 2 | 1+2=3 ; 0+3=3 ; 7+3=10 |
list_summation | list_summation:right-to-left | 4, 4, 4, 7 | 4+7=11 ; 4+11=15 ; 4+15=19 |
base_conversion | base_conversion:via-binary | n=170,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:10 ; OUT:AA |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 3, 7, 0 | [8,5,3,7,0] ; [8,7,3,5,0] ; [0,7,3,5,8] ; [7,0,3,5,8] ; [7,5,3,0,8] ; [0,5,3,7,8] ; [5,0,3,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8] |
base_conversion | base_conversion:decomposition | n=112,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1110000 |
list_summation | list_summation:right-to-left | 6, 5, 3, 2 | 3+2=5 ; 5+5=10 ; 6+10=16 |
list_summation | list_summation:right-to-left | 9, 3, 4, 4 | 4+4=8 ; 3+8=11 ; 9+11=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 9, 7, 3, 1 | [5,9,3,7,1] ; [3,5,7,9,1] ; [1,3,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=16 | 2x+0=16 ; x=(16-0)/2 ; x=16/2 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 336+915 | d2:6+5+0=11→w1,c1 ; d1:3+1+1=5→w5,c0 ; d0:3+9+0=12→w2,c1 ; sum=1251 |
base_conversion | base_conversion:decomposition | n=39,base=2 | 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:100111 |
multidigit_addition | multidigit_addition:left-to-right-partials | 609+297 | p100:600+200=800 ; p10:0+90=90 ; p1:9+7=16 ; sum=800+90+16=906 |
base_conversion | base_conversion:decomposition | n=152,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:230 |
list_summation | list_summation:right-to-left | 2, 0, 0, 8 | 0+8=8 ; 0+8=8 ; 2+8=10 |
list_summation | list_summation:pairwise | 2, 9, 9, 7 | 2+9=11 ; 9+7=16 ; 11+16=27 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=-16 | 8x+16=-16 ; x+2=-2 ; x=-2-2 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=116,base=8 | DIV:116/8=14,r:4 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:164 |
base_conversion | base_conversion:via-binary | n=214,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:3112 |
list_summation | list_summation:pairwise | 1, 0, 1, 7 | 1+0=1 ; 1+7=8 ; 1+8=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 877+334 | d2:7+4+0=11→w1,c1 ; d1:7+3+1=11→w1,c1 ; d0:8+3+1=12→w2,c1 ; sum=1211 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 5, 4, 6 | [1,3,5,4,6] ; [1,3,4,5,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 349+649 | p100:300+600=900 ; p10:40+40=80 ; p1:9+9=18 ; sum=900+80+18=998 |
multidigit_addition | multidigit_addition:left-to-right-partials | 117+251 | p100:100+200=300 ; p10:10+50=60 ; p1:7+1=8 ; sum=300+60+8=368 |
base_conversion | base_conversion:repeated-division | n=208,base=8 | DIV:208/8=26,r:0 ; DIV:26/8=3,r:2 ; DIV:3/8=0,r:3 ; OUT:320 |
list_summation | list_summation:pairwise | 1, 6, 3, 6 | 1+6=7 ; 3+6=9 ; 7+9=16 |
base_conversion | base_conversion:repeated-division | n=230,base=8 | DIV:230/8=28,r:6 ; DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:346 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,3) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 879+683 | d2:9+3+0=12→w2,c1 ; d1:7+8+1=16→w6,c1 ; d0:8+6+1=15→w5,c1 ; sum=1562 |
base_conversion | base_conversion:repeated-division | n=218,base=8 | DIV:218/8=27,r:2 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:332 |
base_conversion | base_conversion:decomposition | n=249,base=2 | TERM:1*2^7=128 ; 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:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11111001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=-5 | 5x+25=-5 ; x+5=-1 ; x=-1-5 ; x=-6 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 7, 2, 0, 9 | [0,7,2,1,9] ; [0,1,2,7,9] ; [0,1,2,7,9] ; [0,1,2,7,9] |
list_summation | list_summation:left-to-right | 1, 1, 1, 8 | 1+1=2 ; 2+1=3 ; 3+8=11 |
list_summation | list_summation:pairwise | 0, 9, 3, 2 | 0+9=9 ; 3+2=5 ; 9+5=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 799+914 | round:800+914=1714 ; adjust:1714-1=1713 ; sum=1713 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 7, 0, 8 | [2,5,7,0,8] ; [2,5,7,0,8] ; [0,2,5,7,8] ; [0,2,5,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 399+734 | p100:300+700=1000 ; p10:90+30=120 ; p1:9+4=13 ; sum=1000+120+13=1133 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 263+669 | round:270+669=939 ; adjust:939-7=932 ; sum=932 |
multidigit_addition | multidigit_addition:left-to-right-partials | 389+300 | p100:300+300=600 ; p10:80+0=80 ; p1:9+0=9 ; sum=600+80+9=689 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 4, 2, 9 | [7,9,4,2,3] ; [9,7,4,2,3] ; [3,7,4,2,9] ; [7,3,4,2,9] ; [2,3,4,7,9] ; [4,3,2,7,9] ; [2,3,4,7,9] ; [3,2,4,7,9] ; [2,3,4,7,9] |
base_conversion | base_conversion:decomposition | n=206,base=2 | TERM:1*2^7=128 ; 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:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11001110 |
base_conversion | base_conversion:via-binary | n=107,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:11 ; OUT:6B |
multidigit_addition | multidigit_addition:left-to-right-partials | 457+274 | p100:400+200=600 ; p10:50+70=120 ; p1:7+4=11 ; sum=600+120+11=731 |
base_conversion | base_conversion:repeated-division | n=38,base=16 | DIV:38/16=2,r:6 ; DIV:2/16=0,r:2 ; OUT:26 |
multidigit_addition | multidigit_addition:rounding-decomposition | 443+100 | round:450+100=550 ; adjust:550-7=543 ; sum=543 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
base_conversion | base_conversion:via-binary | n=222,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:2 ; OUT:3132 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 9, 4, 1 | [2,6,4,9,1] ; [2,4,6,9,1] ; [1,2,4,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 5, 0, 1 | [0,4,5,6,1] ; [0,1,5,6,4] ; [0,1,4,6,5] ; [0,1,4,5,6] |
list_summation | list_summation:right-to-left | 6, 6, 2, 4 | 2+4=6 ; 6+6=12 ; 6+12=18 |
list_summation | list_summation:pairwise | 7, 0, 2, 8 | 7+0=7 ; 2+8=10 ; 7+10=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 9, 5, 8, 0 | [9,3,5,8,0] ; [9,8,5,3,0] ; [0,8,5,3,9] ; [8,0,5,3,9] ; [8,3,5,0,9] ; [0,3,5,8,9] ; [5,3,0,8,9] ; [0,3,5,8,9] ; [3,0,5,8,9] ; [0,3,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=-72 | 9x+0=-72 ; x=(-72-0)/9 ; x=-72/9 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 6, 9, 5, 1 | [4,6,5,9,1] ; [4,5,6,9,1] ; [1,4,5,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,2) | D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) |
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