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 | 560+342 | p100:500+300=800 ; p10:60+40=100 ; p1:0+2=2 ; sum=800+100+2=902 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 6, 1, 9 | [0,6,7,1,9] ; [0,6,1,7,9] ; [0,1,6,7,9] |
base_conversion | base_conversion:via-binary | n=139,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:3 ; OUT:213 |
multidigit_addition | multidigit_addition:right-to-left-carry | 834+703 | d2:4+3+0=7→w7,c0 ; d1:3+0+0=3→w3,c0 ; d0:8+7+0=15→w5,c1 ; sum=1537 |
list_summation | list_summation:right-to-left | 8, 5, 0, 7 | 0+7=7 ; 5+7=12 ; 8+12=20 |
base_conversion | base_conversion:decomposition | n=45,base=2 | TERM:1*2^5=32 ; 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:101101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 587+172 | d2:7+2+0=9→w9,c0 ; d1:8+7+0=15→w5,c1 ; d0:5+1+1=7→w7,c0 ; sum=759 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 6, 0, 2 | [1,8,6,0,2] ; [1,6,8,0,2] ; [0,1,6,8,2] ; [0,1,2,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 3, 2, 9 | [4,8,2,3,9] ; [2,3,4,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-14=14 | 7x-14=14 ; x=(14--14)/7 ; x=28/7 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 621+749 | d2:1+9+0=10→w0,c1 ; d1:2+4+1=7→w7,c0 ; d0:6+7+0=13→w3,c1 ; sum=1370 |
multidigit_addition | multidigit_addition:left-to-right-partials | 437+379 | p100:400+300=700 ; p10:30+70=100 ; p1:7+9=16 ; sum=700+100+16=816 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 422+705 | p100:400+700=1100 ; p10:20+0=20 ; p1:2+5=7 ; sum=1100+20+7=1127 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=24 | 4x+8=24 ; 4x=16 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-24=-40 | 8x-24=-40 ; x+-3=-5 ; x=-5--3 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 304+742 | d2:4+2+0=6→w6,c0 ; d1:0+4+0=4→w4,c0 ; d0:3+7+0=10→w0,c1 ; sum=1046 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=8 | 2x+12=8 ; 2x=-4 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 6, 3, 5, 1 | 6+3=9 ; 9+5=14 ; 14+1=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 905+816 | p100:900+800=1700 ; p10:0+10=10 ; p1:5+6=11 ; sum=1700+10+11=1721 |
base_conversion | base_conversion:repeated-division | n=196,base=2 | DIV:196/2=98,r:0 ; DIV:98/2=49,r:0 ; 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:11000100 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+72=18 | 9x+72=18 ; x+8=2 ; x=2-8 ; x=-6 |
list_summation | list_summation:right-to-left | 5, 8, 2, 9 | 2+9=11 ; 8+11=19 ; 5+19=24 |
base_conversion | base_conversion:decomposition | n=51,base=16 | TERM:3*16^1=48 ; TERM:3*16^0=3 ; OUT:33 |
multidigit_addition | multidigit_addition:right-to-left-carry | 428+672 | d2:8+2+0=10→w0,c1 ; d1:2+7+1=10→w0,c1 ; d0:4+6+1=11→w1,c1 ; sum=1100 |
list_summation | list_summation:right-to-left | 6, 7, 9, 4 | 9+4=13 ; 7+13=20 ; 6+20=26 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
list_summation | list_summation:right-to-left | 9, 6, 3, 9 | 3+9=12 ; 6+12=18 ; 9+18=27 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+12=10 | 2x+12=10 ; x=(10-12)/2 ; x=-2/2 ; x=-1 |
base_conversion | base_conversion:via-binary | n=127,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:1333 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-16=-80 | 8x-16=-80 ; 8x=-64 ; x=-8 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 6, 7, 1, 4 | [6,8,7,1,4] ; [6,8,1,7,4] ; [1,6,7,8,4] ; [1,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 971+884 | round:980+884=1864 ; adjust:1864-9=1855 ; sum=1855 |
list_summation | list_summation:left-to-right | 8, 0, 9, 8 | 8+0=8 ; 8+9=17 ; 17+8=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 233+565 | p100:200+500=700 ; p10:30+60=90 ; p1:3+5=8 ; sum=700+90+8=798 |
multidigit_addition | multidigit_addition:left-to-right-partials | 900+445 | p100:900+400=1300 ; p10:0+40=40 ; p1:0+5=5 ; sum=1300+40+5=1345 |
base_conversion | base_conversion:repeated-division | n=123,base=4 | DIV:123/4=30,r:3 ; DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1323 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 0, 2, 7 | [8,7,0,2,4] ; [4,7,0,2,8] ; [7,4,0,2,8] ; [2,4,0,7,8] ; [4,2,0,7,8] ; [0,2,4,7,8] ; [2,0,4,7,8] ; [0,2,4,7,8] |
list_summation | list_summation:pairwise | 6, 0, 8, 7 | 6+0=6 ; 8+7=15 ; 6+15=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 6, 7, 9, 3 | [0,3,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-108 | 9x-72=-108 ; x=(-108--72)/9 ; x=-36/9 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 1, 5, 7, 6 | [1,8,5,7,6] ; [1,5,8,7,6] ; [1,5,7,8,6] ; [1,5,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 303+212 | d2:3+2+0=5→w5,c0 ; d1:0+1+0=1→w1,c0 ; d0:3+2+0=5→w5,c0 ; sum=515 |
list_summation | list_summation:pairwise | 2, 8, 5, 8 | 2+8=10 ; 5+8=13 ; 10+13=23 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+8=-56 | 8x+8=-56 ; x=(-56-8)/8 ; x=-64/8 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=182,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:6 ; OUT:B6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-8 | 2x-10=-8 ; x+-5=-4 ; x=-4--5 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=8 | 8x-56=8 ; 8x=64 ; x=8 |
base_conversion | base_conversion:via-binary | n=11,base=16 | BINLEN:4 ; CHUNK:0:11 ; OUT:B |
multidigit_addition | multidigit_addition:right-to-left-carry | 634+840 | d2:4+0+0=4→w4,c0 ; d1:3+4+0=7→w7,c0 ; d0:6+8+0=14→w4,c1 ; sum=1474 |
base_conversion | base_conversion:via-binary | n=220,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:12 ; OUT:DC |
list_summation | list_summation:left-to-right | 1, 3, 1, 0 | 1+3=4 ; 4+1=5 ; 5+0=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 3, 6, 9 | [1,3,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 153+528 | p100:100+500=600 ; p10:50+20=70 ; p1:3+8=11 ; sum=600+70+11=681 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,3) | D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 798+107 | round:800+107=907 ; adjust:907-2=905 ; sum=905 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 3, 6, 1 | [8,5,3,6,1] ; [8,6,3,5,1] ; [1,6,3,5,8] ; [6,1,3,5,8] ; [6,5,3,1,8] ; [1,5,3,6,8] ; [5,1,3,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-77 | 7x-56=-77 ; x=(-77--56)/7 ; x=-21/7 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 1, 2, 6 | [1,9,5,2,6] ; [1,2,5,9,6] ; [1,2,5,9,6] ; [1,2,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 665+874 | round:670+874=1544 ; adjust:1544-5=1539 ; sum=1539 |
multidigit_addition | multidigit_addition:right-to-left-carry | 606+227 | d2:6+7+0=13→w3,c1 ; d1:0+2+1=3→w3,c0 ; d0:6+2+0=8→w8,c0 ; sum=833 |
list_summation | list_summation:pairwise | 0, 7, 8, 1 | 0+7=7 ; 8+1=9 ; 7+9=16 |
base_conversion | base_conversion:via-binary | n=228,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:4 ; OUT:E4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+35=42 | 7x+35=42 ; x+5=6 ; x=6-5 ; x=1 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 5, 3, 2, 4 | [0,5,2,3,4] ; [0,2,3,5,4] ; [0,2,3,4,5] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=27 | 9x+54=27 ; x+6=3 ; x=3-6 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 5, 1, 9 | [1,6,5,4,9] ; [1,4,5,6,9] ; [1,4,5,6,9] ; [1,4,5,6,9] |
list_summation | list_summation:left-to-right | 5, 4, 5, 7 | 5+4=9 ; 9+5=14 ; 14+7=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 7, 4, 2, 0 | [7,9,4,2,0] ; [7,4,9,2,0] ; [7,4,2,9,0] ; [7,4,2,0,9] ; [4,7,2,0,9] ; [4,2,7,0,9] ; [4,2,0,7,9] ; [2,4,0,7,9] ; [2,0,4,7,9] ; [0,2,4,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=39 | 3x+24=39 ; x=(39-24)/3 ; x=15/3 ; x=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 214+634 | d2:4+4+0=8→w8,c0 ; d1:1+3+0=4→w4,c0 ; d0:2+6+0=8→w8,c0 ; sum=848 |
list_summation | list_summation:left-to-right | 0, 2, 8, 6 | 0+2=2 ; 2+8=10 ; 10+6=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-75 | 5x-30=-75 ; x=(-75--30)/5 ; x=-45/5 ; x=-9 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 8, 6, 9, 0 | [2,6,8,9,0] ; [0,2,6,8,9] |
base_conversion | base_conversion:repeated-division | n=24,base=2 | 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:11000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+18=30 | 3x+18=30 ; 3x=12 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 570+989 | p100:500+900=1400 ; p10:70+80=150 ; p1:0+9=9 ; sum=1400+150+9=1559 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=0 | 4x-36=0 ; 4x=36 ; x=9 |
base_conversion | base_conversion:via-binary | n=123,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:11 ; OUT:7B |
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:divide-then-subtract | 9x-72=-9 | 9x-72=-9 ; x+-8=-1 ; x=-1--8 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=-4 | 2x+0=-4 ; x=(-4-0)/2 ; x=-4/2 ; x=-2 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 1, 4, 2, 5 | [1,6,4,2,5] ; [1,6,2,4,5] ; [1,2,4,6,5] ; [1,2,4,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 836+737 | d2:6+7+0=13→w3,c1 ; d1:3+3+1=7→w7,c0 ; d0:8+7+0=15→w5,c1 ; sum=1573 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 9, 5, 7, 2 | [5,6,7,9,2] ; [2,5,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) |
list_summation | list_summation:pairwise | 4, 1, 0, 4 | 4+1=5 ; 0+4=4 ; 5+4=9 |
base_conversion | base_conversion:repeated-division | n=218,base=2 | DIV:218/2=109,r:0 ; DIV:109/2=54,r:1 ; DIV:54/2=27,r:0 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11011010 |
list_summation | list_summation:right-to-left | 7, 2, 8, 0 | 8+0=8 ; 2+8=10 ; 7+10=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 859+103 | d2:9+3+0=12→w2,c1 ; d1:5+0+1=6→w6,c0 ; d0:8+1+0=9→w9,c0 ; sum=962 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 7, 9, 6 | [1,8,7,9,6] ; [1,7,8,9,6] ; [1,7,8,9,6] ; [1,6,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-4=-12 | 2x-4=-12 ; x=(-12--4)/2 ; x=-8/2 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 507+528 | d2:7+8+0=15→w5,c1 ; d1:0+2+1=3→w3,c0 ; d0:5+5+0=10→w0,c1 ; sum=1035 |
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