task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 1, 2, 8, 7 | 8+7=15 ; 2+15=17 ; 1+17=18 |
base_conversion | base_conversion:repeated-division | n=94,base=16 | DIV:94/16=5,r:14 ; DIV:5/16=0,r:5 ; OUT:5E |
list_summation | list_summation:right-to-left | 5, 4, 8, 0 | 8+0=8 ; 4+8=12 ; 5+12=17 |
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) |
base_conversion | base_conversion:decomposition | n=231,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:11100111 |
base_conversion | base_conversion:repeated-division | n=91,base=2 | DIV:91/2=45,r:1 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1011011 |
list_summation | list_summation:pairwise | 5, 2, 4, 4 | 5+2=7 ; 4+4=8 ; 7+8=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 752+459 | d2:2+9+0=11→w1,c1 ; d1:5+5+1=11→w1,c1 ; d0:7+4+1=12→w2,c1 ; sum=1211 |
base_conversion | base_conversion:repeated-division | n=199,base=8 | DIV:199/8=24,r:7 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:307 |
multidigit_addition | multidigit_addition:rounding-decomposition | 561+167 | round:570+167=737 ; adjust:737-9=728 ; sum=728 |
base_conversion | base_conversion:repeated-division | n=224,base=4 | DIV:224/4=56,r:0 ; DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3200 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 0, 5, 8 | [1,9,0,5,8] ; [0,1,5,9,8] ; [0,1,5,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+30=25 | 5x+30=25 ; 5x=-5 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
base_conversion | base_conversion:via-binary | n=213,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:5 ; OUT:D5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 7, 0, 5, 1 | [7,8,0,5,1] ; [7,0,8,5,1] ; [7,0,5,8,1] ; [7,0,5,1,8] ; [0,7,5,1,8] ; [0,5,7,1,8] ; [0,5,1,7,8] ; [0,1,5,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 716+809 | p100:700+800=1500 ; p10:10+0=10 ; p1:6+9=15 ; sum=1500+10+15=1525 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=30 | 6x-6=30 ; x+-1=5 ; x=5--1 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-26 | 2x-10=-26 ; x=(-26--10)/2 ; x=-16/2 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 951+135 | d2:1+5+0=6→w6,c0 ; d1:5+3+0=8→w8,c0 ; d0:9+1+0=10→w0,c1 ; sum=1086 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 8, 7, 1, 4 | [5,8,7,1,4] ; [5,7,8,1,4] ; [1,5,7,8,4] ; [1,4,5,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-12=18 | 6x-12=18 ; x+-2=3 ; x=3--2 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=-20 | 5x-35=-20 ; x=(-20--35)/5 ; x=15/5 ; x=3 |
list_summation | list_summation:right-to-left | 5, 1, 4, 1 | 4+1=5 ; 1+5=6 ; 5+6=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 986+166 | p100:900+100=1000 ; p10:80+60=140 ; p1:6+6=12 ; sum=1000+140+12=1152 |
list_summation | list_summation:pairwise | 8, 0, 7, 5 | 8+0=8 ; 7+5=12 ; 8+12=20 |
list_summation | list_summation:right-to-left | 5, 2, 9, 6 | 9+6=15 ; 2+15=17 ; 5+17=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 8, 2, 2, 8 | 8+2=10 ; 2+8=10 ; 10+10=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 581+897 | round:590+897=1487 ; adjust:1487-9=1478 ; sum=1478 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 7, 6, 9 | [2,4,7,6,9] ; [2,4,7,6,9] ; [2,4,6,7,9] ; [2,4,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=65 | 5x+20=65 ; 5x=45 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 471+859 | round:480+859=1339 ; adjust:1339-9=1330 ; sum=1330 |
base_conversion | base_conversion:via-binary | n=168,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2220 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 107+611 | p100:100+600=700 ; p10:0+10=10 ; p1:7+1=8 ; sum=700+10+8=718 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 5, 4, 8 | [0,1,5,4,8] ; [0,1,4,5,8] |
list_summation | list_summation:pairwise | 7, 2, 0, 4 | 7+2=9 ; 0+4=4 ; 9+4=13 |
base_conversion | base_conversion:repeated-division | n=150,base=16 | DIV:150/16=9,r:6 ; DIV:9/16=0,r:9 ; OUT:96 |
multidigit_addition | multidigit_addition:rounding-decomposition | 827+175 | round:830+175=1005 ; adjust:1005-3=1002 ; sum=1002 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-56 | 8x-24=-56 ; x=(-56--24)/8 ; x=-32/8 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 188+785 | d2:8+5+0=13→w3,c1 ; d1:8+8+1=17→w7,c1 ; d0:1+7+1=9→w9,c0 ; sum=973 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+36=64 | 4x+36=64 ; x=(64-36)/4 ; x=28/4 ; x=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=4 | 2x-8=4 ; x=(4--8)/2 ; x=12/2 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 636+536 | round:640+536=1176 ; adjust:1176-4=1172 ; sum=1172 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+16=20 | 4x+16=20 ; x+4=5 ; x=5-4 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=12 | 6x+24=12 ; x=(12-24)/6 ; x=-12/6 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 729+408 | round:730+408=1138 ; adjust:1138-1=1137 ; sum=1137 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=34 | 2x+18=34 ; 2x=16 ; x=8 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 3, 1, 6 | [8,5,3,1,6] ; [8,6,3,1,5] ; [5,6,3,1,8] ; [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] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 3, 7, 9 | [5,8,3,7,9] ; [3,5,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+48=80 | 8x+48=80 ; 8x=32 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 5, 0, 4 | [6,4,5,0,2] ; [2,4,5,0,6] ; [5,4,2,0,6] ; [0,4,2,5,6] ; [4,0,2,5,6] ; [2,0,4,5,6] ; [0,2,4,5,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 9, 1, 8 | [4,5,9,1,8] ; [4,5,9,1,8] ; [1,4,5,9,8] ; [1,4,5,8,9] |
base_conversion | base_conversion:repeated-division | n=83,base=4 | DIV:83/4=20,r:3 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1103 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=-14 | 2x-2=-14 ; 2x=-12 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(5,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 974+531 | d2:4+1+0=5→w5,c0 ; d1:7+3+0=10→w0,c1 ; d0:9+5+1=15→w5,c1 ; sum=1505 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=32 | 8x+72=32 ; 8x=-40 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 461+690 | round:470+690=1160 ; adjust:1160-9=1151 ; sum=1151 |
base_conversion | base_conversion:via-binary | n=180,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:4 ; OUT:B4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 388+516 | d2:8+6+0=14→w4,c1 ; d1:8+1+1=10→w0,c1 ; d0:3+5+1=9→w9,c0 ; sum=904 |
multidigit_addition | multidigit_addition:left-to-right-partials | 666+914 | p100:600+900=1500 ; p10:60+10=70 ; p1:6+4=10 ; sum=1500+70+10=1580 |
list_summation | list_summation:right-to-left | 1, 4, 2, 1 | 2+1=3 ; 4+3=7 ; 1+7=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 674+860 | p100:600+800=1400 ; p10:70+60=130 ; p1:4+0=4 ; sum=1400+130+4=1534 |
base_conversion | base_conversion:via-binary | n=208,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:0 ; OUT:D0 |
list_summation | list_summation:left-to-right | 2, 5, 1, 2 | 2+5=7 ; 7+1=8 ; 8+2=10 |
multidigit_addition | multidigit_addition:right-to-left-carry | 830+844 | d2:0+4+0=4→w4,c0 ; d1:3+4+0=7→w7,c0 ; d0:8+8+0=16→w6,c1 ; sum=1674 |
list_summation | list_summation:pairwise | 0, 4, 6, 0 | 0+4=4 ; 6+0=6 ; 4+6=10 |
list_summation | list_summation:pairwise | 9, 5, 0, 8 | 9+5=14 ; 0+8=8 ; 14+8=22 |
list_summation | list_summation:pairwise | 2, 4, 7, 5 | 2+4=6 ; 7+5=12 ; 6+12=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 9, 0, 1, 7 | 1+7=8 ; 0+8=8 ; 9+8=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=-42 | 6x+6=-42 ; x=(-42-6)/6 ; x=-48/6 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 448+410 | p100:400+400=800 ; p10:40+10=50 ; p1:8+0=8 ; sum=800+50+8=858 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 4, 1, 0 | [5,8,1,4,0] ; [1,4,5,8,0] ; [0,1,4,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 8, 6, 5, 7 | [5,8,6,9,7] ; [5,6,8,9,7] ; [5,6,7,9,8] ; [5,6,7,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-18=-30 | 3x-18=-30 ; x=(-30--18)/3 ; x=-12/3 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 2, 3, 0 | [0,8,2,3,5] ; [0,2,8,3,5] ; [0,2,3,8,5] ; [0,2,3,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+10=26 | 2x+10=26 ; x=(26-10)/2 ; x=16/2 ; x=8 |
list_summation | list_summation:pairwise | 5, 8, 4, 5 | 5+8=13 ; 4+5=9 ; 13+9=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(2,3) | R:(0,3) ; D:(1,3) ; D:(2,3) |
base_conversion | base_conversion:decomposition | n=15,base=8 | TERM:1*8^1=8 ; TERM:7*8^0=7 ; OUT:17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 812+961 | p100:800+900=1700 ; p10:10+60=70 ; p1:2+1=3 ; sum=1700+70+3=1773 |
list_summation | list_summation:right-to-left | 1, 4, 6, 9 | 6+9=15 ; 4+15=19 ; 1+19=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 874+924 | d2:4+4+0=8→w8,c0 ; d1:7+2+0=9→w9,c0 ; d0:8+9+0=17→w7,c1 ; sum=1798 |
multidigit_addition | multidigit_addition:rounding-decomposition | 679+169 | round:680+169=849 ; adjust:849-1=848 ; sum=848 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=24 | 2x+18=24 ; x=(24-18)/2 ; x=6/2 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+5=30 | 5x+5=30 ; x+1=6 ; x=6-1 ; x=5 |
list_summation | list_summation:left-to-right | 5, 3, 4, 4 | 5+3=8 ; 8+4=12 ; 12+4=16 |
base_conversion | base_conversion:via-binary | n=169,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:9 ; OUT:A9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=36 | 9x+27=36 ; 9x=9 ; x=1 |
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