task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 602+740 | round:610+740=1350 ; adjust:1350-8=1342 ; sum=1342 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 2, 3, 1, 6 | [2,4,3,1,6] ; [2,3,4,1,6] ; [2,3,1,4,6] ; [2,1,3,4,6] ; [1,2,3,4,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 564+873 | d2:4+3+0=7→w7,c0 ; d1:6+7+0=13→w3,c1 ; d0:5+8+1=14→w4,c1 ; sum=1437 |
multidigit_addition | multidigit_addition:left-to-right-partials | 751+755 | p100:700+700=1400 ; p10:50+50=100 ; p1:1+5=6 ; sum=1400+100+6=1506 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 6, 0, 3 | [0,4,6,9,3] ; [0,3,6,9,4] ; [0,3,4,9,6] ; [0,3,4,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 5, 3, 7, 2 | [5,6,3,7,2] ; [3,5,6,7,2] ; [3,5,6,7,2] ; [2,3,5,6,7] |
list_summation | list_summation:right-to-left | 5, 6, 0, 1 | 0+1=1 ; 6+1=7 ; 5+7=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
base_conversion | base_conversion:repeated-division | n=170,base=8 | DIV:170/8=21,r:2 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:252 |
list_summation | list_summation:left-to-right | 7, 9, 2, 9 | 7+9=16 ; 16+2=18 ; 18+9=27 |
base_conversion | base_conversion:repeated-division | n=202,base=4 | DIV:202/4=50,r:2 ; DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3022 |
base_conversion | base_conversion:decomposition | n=151,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:1*2^0=1 ; OUT:10010111 |
base_conversion | base_conversion:decomposition | n=104,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:1220 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 916+866 | d2:6+6+0=12→w2,c1 ; d1:1+6+1=8→w8,c0 ; d0:9+8+0=17→w7,c1 ; sum=1782 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 4, 0, 1 | [2,3,4,0,1] ; [2,3,4,0,1] ; [0,2,3,4,1] ; [0,1,2,3,4] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=22 | 2x+16=22 ; 2x=6 ; x=3 |
list_summation | list_summation:left-to-right | 2, 5, 1, 3 | 2+5=7 ; 7+1=8 ; 8+3=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 5, 7, 0, 0 | 5+7=12 ; 12+0=12 ; 12+0=12 |
multidigit_addition | multidigit_addition:right-to-left-carry | 226+476 | d2:6+6+0=12→w2,c1 ; d1:2+7+1=10→w0,c1 ; d0:2+4+1=7→w7,c0 ; sum=702 |
multidigit_addition | multidigit_addition:left-to-right-partials | 938+650 | p100:900+600=1500 ; p10:30+50=80 ; p1:8+0=8 ; sum=1500+80+8=1588 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 4, 2, 5 | [6,1,4,2,5] ; [6,5,4,2,1] ; [1,5,4,2,6] ; [5,1,4,2,6] ; [5,2,4,1,6] ; [1,2,4,5,6] ; [4,2,1,5,6] ; [1,2,4,5,6] ; [2,1,4,5,6] ; [1,2,4,5,6] |
base_conversion | base_conversion:via-binary | n=70,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1000110 |
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:right-to-left-carry | 565+161 | d2:5+1+0=6→w6,c0 ; d1:6+6+0=12→w2,c1 ; d0:5+1+1=7→w7,c0 ; sum=726 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 8, 5, 1 | [2,7,5,8,1] ; [2,7,5,1,8] ; [2,5,7,1,8] ; [2,5,1,7,8] ; [2,1,5,7,8] ; [1,2,5,7,8] |
list_summation | list_summation:pairwise | 6, 7, 0, 5 | 6+7=13 ; 0+5=5 ; 13+5=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 545+375 | round:550+375=925 ; adjust:925-5=920 ; sum=920 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=120,base=4 | DIV:120/4=30,r:0 ; DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1320 |
list_summation | list_summation:right-to-left | 0, 6, 2, 8 | 2+8=10 ; 6+10=16 ; 0+16=16 |
list_summation | list_summation:right-to-left | 1, 7, 2, 7 | 2+7=9 ; 7+9=16 ; 1+16=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=4 | 2x+2=4 ; 2x=2 ; x=1 |
list_summation | list_summation:right-to-left | 0, 4, 1, 0 | 1+0=1 ; 4+1=5 ; 0+5=5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 374+445 | d2:4+5+0=9→w9,c0 ; d1:7+4+0=11→w1,c1 ; d0:3+4+1=8→w8,c0 ; sum=819 |
list_summation | list_summation:left-to-right | 6, 8, 1, 0 | 6+8=14 ; 14+1=15 ; 15+0=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+28=8 | 4x+28=8 ; x+7=2 ; x=2-7 ; x=-5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=96 | 6x+42=96 ; 6x=54 ; x=9 |
list_summation | list_summation:pairwise | 0, 2, 6, 4 | 0+2=2 ; 6+4=10 ; 2+10=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-64 | 8x-72=-64 ; x=(-64--72)/8 ; x=8/8 ; x=1 |
base_conversion | base_conversion:decomposition | n=137,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:2021 |
base_conversion | base_conversion:decomposition | n=21,base=8 | TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:25 |
base_conversion | base_conversion:decomposition | n=63,base=16 | TERM:3*16^1=48 ; TERM:15*16^0=15 ; OUT:3F |
list_summation | list_summation:right-to-left | 7, 1, 9, 5 | 9+5=14 ; 1+14=15 ; 7+15=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,2) | R:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:left-to-right | 6, 4, 7, 3 | 6+4=10 ; 10+7=17 ; 17+3=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=18 | 9x+18=18 ; 9x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=0 | 6x+42=0 ; 6x=-42 ; x=-7 |
list_summation | list_summation:pairwise | 2, 7, 5, 2 | 2+7=9 ; 5+2=7 ; 9+7=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-12 | 2x-12=-12 ; x+-6=-6 ; x=-6--6 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=-8 | 2x-2=-8 ; 2x=-6 ; x=-3 |
base_conversion | base_conversion:via-binary | n=226,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:342 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 7, 3, 0, 8 | [4,7,3,0,8] ; [3,4,7,0,8] ; [0,3,4,7,8] ; [0,3,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=-2 | 2x+6=-2 ; x+3=-1 ; x=-1-3 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=-42 | 6x+0=-42 ; 6x=-42 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 217+746 | d2:7+6+0=13→w3,c1 ; d1:1+4+1=6→w6,c0 ; d0:2+7+0=9→w9,c0 ; sum=963 |
multidigit_addition | multidigit_addition:rounding-decomposition | 259+662 | round:260+662=922 ; adjust:922-1=921 ; sum=921 |
base_conversion | base_conversion:decomposition | n=106,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:2*8^0=2 ; OUT:152 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 7, 4, 0 | [2,7,9,4,0] ; [2,7,4,9,0] ; [2,7,4,0,9] ; [2,4,7,0,9] ; [2,4,0,7,9] ; [2,0,4,7,9] ; [0,2,4,7,9] |
base_conversion | base_conversion:repeated-division | n=171,base=4 | DIV:171/4=42,r:3 ; DIV:42/4=10,r:2 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2223 |
base_conversion | base_conversion:decomposition | n=155,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:2123 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-88 | 8x-64=-88 ; 8x=-24 ; x=-3 |
base_conversion | base_conversion:via-binary | n=145,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:2101 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 0, 1, 8, 4 | [0,7,1,8,4] ; [0,1,7,8,4] ; [0,1,4,8,7] ; [0,1,4,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 5, 6, 4, 9 | [0,5,4,6,9] ; [0,4,5,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=23,base=16 | TERM:1*16^1=16 ; TERM:7*16^0=7 ; OUT:17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+21=28 | 7x+21=28 ; x+3=4 ; x=4-3 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+12=24 | 3x+12=24 ; x+4=8 ; x=8-4 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=-30 | 5x+10=-30 ; 5x=-40 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=-9 | 9x+72=-9 ; 9x=-81 ; x=-9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 2, 6, 7, 1 | [0,1,2,6,7] |
base_conversion | base_conversion:repeated-division | n=123,base=2 | DIV:123/2=61,r:1 ; DIV:61/2=30,r:1 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111011 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 1, 4, 5 | [1,4,8,9,5] ; [1,4,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-63=-77 | 7x-63=-77 ; x=(-77--63)/7 ; x=-14/7 ; x=-2 |
list_summation | list_summation:right-to-left | 3, 7, 0, 6 | 0+6=6 ; 7+6=13 ; 3+13=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 821+351 | round:830+351=1181 ; adjust:1181-9=1172 ; sum=1172 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-10 | 5x-35=-10 ; x+-7=-2 ; x=-2--7 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 246+147 | round:250+147=397 ; adjust:397-4=393 ; sum=393 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 1, 3, 6 | [8,6,1,3,0] ; [0,6,1,3,8] ; [6,0,1,3,8] ; [6,3,1,0,8] ; [0,3,1,6,8] ; [3,0,1,6,8] ; [1,0,3,6,8] ; [0,1,3,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 5, 0, 1 | [7,2,5,0,1] ; [1,2,5,0,7] ; [5,2,1,0,7] ; [0,2,1,5,7] ; [2,0,1,5,7] ; [1,0,2,5,7] ; [0,1,2,5,7] |
base_conversion | base_conversion:via-binary | n=21,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:5 ; OUT:25 |
base_conversion | base_conversion:decomposition | n=132,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10000100 |
list_summation | list_summation:pairwise | 2, 7, 1, 0 | 2+7=9 ; 1+0=1 ; 9+1=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 627+293 | p100:600+200=800 ; p10:20+90=110 ; p1:7+3=10 ; sum=800+110+10=920 |
multidigit_addition | multidigit_addition:rounding-decomposition | 359+960 | round:360+960=1320 ; adjust:1320-1=1319 ; sum=1319 |
base_conversion | base_conversion:via-binary | n=74,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:2 ; OUT:1022 |
multidigit_addition | multidigit_addition:rounding-decomposition | 853+464 | round:860+464=1324 ; adjust:1324-7=1317 ; sum=1317 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 4, 8, 9, 3 | [1,9,8,4,3] ; [9,1,8,4,3] ; [9,4,8,1,3] ; [3,4,8,1,9] ; [8,4,3,1,9] ; [1,4,3,8,9] ; [4,1,3,8,9] ; [3,1,4,8,9] ; [1,3,4,8,9] |
base_conversion | base_conversion:decomposition | n=61,base=16 | TERM:3*16^1=48 ; TERM:13*16^0=13 ; OUT:3D |
base_conversion | base_conversion:repeated-division | n=92,base=4 | DIV:92/4=23,r:0 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1130 |
multidigit_addition | multidigit_addition:rounding-decomposition | 930+191 | round:930+191=1121 ; adjust:1121-0=1121 ; sum=1121 |
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