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 | 865+721 | p100:800+700=1500 ; p10:60+20=80 ; p1:5+1=6 ; sum=1500+80+6=1586 |
multidigit_addition | multidigit_addition:right-to-left-carry | 170+149 | d2:0+9+0=9→w9,c0 ; d1:7+4+0=11→w1,c1 ; d0:1+1+1=3→w3,c0 ; sum=319 |
multidigit_addition | multidigit_addition:right-to-left-carry | 514+795 | d2:4+5+0=9→w9,c0 ; d1:1+9+0=10→w0,c1 ; d0:5+7+1=13→w3,c1 ; sum=1309 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 5, 1, 2, 0 | [5,9,1,2,0] ; [1,2,5,9,0] ; [0,1,2,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=-35 | 7x-49=-35 ; x+-7=-5 ; x=-5--7 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 494+225 | p100:400+200=600 ; p10:90+20=110 ; p1:4+5=9 ; sum=600+110+9=719 |
base_conversion | base_conversion:via-binary | n=158,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10011110 |
multidigit_addition | multidigit_addition:right-to-left-carry | 490+503 | d2:0+3+0=3→w3,c0 ; d1:9+0+0=9→w9,c0 ; d0:4+5+0=9→w9,c0 ; sum=993 |
base_conversion | base_conversion:via-binary | n=79,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:1033 |
base_conversion | base_conversion:via-binary | n=181,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:5 ; OUT:B5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,2) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) |
base_conversion | base_conversion:decomposition | n=86,base=16 | TERM:5*16^1=80 ; TERM:6*16^0=6 ; OUT:56 |
base_conversion | base_conversion:repeated-division | n=152,base=2 | DIV:152/2=76,r:0 ; DIV:76/2=38,r:0 ; DIV:38/2=19,r:0 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10011000 |
multidigit_addition | multidigit_addition:right-to-left-carry | 613+834 | d2:3+4+0=7→w7,c0 ; d1:1+3+0=4→w4,c0 ; d0:6+8+0=14→w4,c1 ; sum=1447 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; R:(3,4) ; D:(4,4) |
list_summation | list_summation:left-to-right | 8, 5, 7, 4 | 8+5=13 ; 13+7=20 ; 20+4=24 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 2, 4, 3, 6 | 2+4=6 ; 3+6=9 ; 6+9=15 |
list_summation | list_summation:right-to-left | 0, 5, 7, 1 | 7+1=8 ; 5+8=13 ; 0+13=13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+63=-9 | 9x+63=-9 ; x+7=-1 ; x=-1-7 ; x=-8 |
base_conversion | base_conversion:repeated-division | n=114,base=16 | DIV:114/16=7,r:2 ; DIV:7/16=0,r:7 ; OUT:72 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 270+681 | round:270+681=951 ; adjust:951-0=951 ; sum=951 |
multidigit_addition | multidigit_addition:left-to-right-partials | 777+754 | p100:700+700=1400 ; p10:70+50=120 ; p1:7+4=11 ; sum=1400+120+11=1531 |
base_conversion | base_conversion:via-binary | n=136,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:210 |
multidigit_addition | multidigit_addition:left-to-right-partials | 646+938 | p100:600+900=1500 ; p10:40+30=70 ; p1:6+8=14 ; sum=1500+70+14=1584 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-15 | 3x-21=-15 ; 3x=6 ; x=2 |
list_summation | list_summation:pairwise | 9, 4, 9, 7 | 9+4=13 ; 9+7=16 ; 13+16=29 |
base_conversion | base_conversion:repeated-division | n=48,base=16 | DIV:48/16=3,r:0 ; DIV:3/16=0,r:3 ; OUT:30 |
base_conversion | base_conversion:decomposition | n=38,base=16 | TERM:2*16^1=32 ; TERM:6*16^0=6 ; OUT:26 |
multidigit_addition | multidigit_addition:left-to-right-partials | 150+622 | p100:100+600=700 ; p10:50+20=70 ; p1:0+2=2 ; sum=700+70+2=772 |
multidigit_addition | multidigit_addition:rounding-decomposition | 293+316 | round:300+316=616 ; adjust:616-7=609 ; sum=609 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 7, 8, 6 | [1,4,7,6,8] ; [1,4,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,4) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:via-binary | n=39,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:7 ; OUT:27 |
list_summation | list_summation:right-to-left | 0, 8, 7, 6 | 7+6=13 ; 8+13=21 ; 0+21=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+72=81 | 9x+72=81 ; x=(81-72)/9 ; x=9/9 ; x=1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=25 | 5x+35=25 ; x=(25-35)/5 ; x=-10/5 ; x=-2 |
base_conversion | base_conversion:decomposition | n=14,base=8 | TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:16 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 4, 2, 9 | [1,9,4,2,6] ; [9,1,4,2,6] ; [9,6,4,2,1] ; [1,6,4,2,9] ; [6,1,4,2,9] ; [6,2,4,1,9] ; [1,2,4,6,9] ; [4,2,1,6,9] ; [1,2,4,6,9] ; [2,1,4,6,9] ; [1,2,4,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-64 | 8x-48=-64 ; 8x=-16 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 7, 9, 1 | [2,4,7,9,1] ; [2,4,7,9,1] ; [2,4,7,9,1] ; [1,2,4,7,9] |
list_summation | list_summation:left-to-right | 9, 3, 9, 8 | 9+3=12 ; 12+9=21 ; 21+8=29 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,5) | D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 6, 7, 5 | [0,6,9,7,5] ; [0,6,7,9,5] ; [0,6,7,5,9] ; [0,6,5,7,9] ; [0,5,6,7,9] |
base_conversion | base_conversion:via-binary | n=242,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:3302 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+27=63 | 9x+27=63 ; 9x=36 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 5, 7 | [6,9,4,5,7] ; [4,6,9,5,7] ; [4,5,6,9,7] ; [4,5,6,7,9] |
list_summation | list_summation:right-to-left | 6, 2, 7, 4 | 7+4=11 ; 2+11=13 ; 6+13=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 3, 5, 2 | [1,4,3,5,2] ; [1,3,4,5,2] ; [1,3,4,5,2] ; [1,2,3,4,5] |
base_conversion | base_conversion:repeated-division | n=145,base=2 | DIV:145/2=72,r:1 ; DIV:72/2=36,r:0 ; DIV:36/2=18,r:0 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 660+569 | p100:600+500=1100 ; p10:60+60=120 ; p1:0+9=9 ; sum=1100+120+9=1229 |
base_conversion | base_conversion:repeated-division | n=31,base=8 | DIV:31/8=3,r:7 ; DIV:3/8=0,r:3 ; OUT:37 |
multidigit_addition | multidigit_addition:left-to-right-partials | 564+814 | p100:500+800=1300 ; p10:60+10=70 ; p1:4+4=8 ; sum=1300+70+8=1378 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+40=88 | 8x+40=88 ; 8x=48 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 6, 7, 3 | [1,6,7,8,3] ; [1,3,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 2, 9, 1, 6 | 1+6=7 ; 9+7=16 ; 2+16=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=2 | 2x-16=2 ; 2x=18 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 501+277 | p100:500+200=700 ; p10:0+70=70 ; p1:1+7=8 ; sum=700+70+8=778 |
multidigit_addition | multidigit_addition:left-to-right-partials | 844+275 | p100:800+200=1000 ; p10:40+70=110 ; p1:4+5=9 ; sum=1000+110+9=1119 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+54=42 | 6x+54=42 ; 6x=-12 ; x=-2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 492+651 | d2:2+1+0=3→w3,c0 ; d1:9+5+0=14→w4,c1 ; d0:4+6+1=11→w1,c1 ; sum=1143 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-63=-105 | 7x-63=-105 ; x+-9=-15 ; x=-15--9 ; x=-6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 616+884 | round:620+884=1504 ; adjust:1504-4=1500 ; sum=1500 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 9, 7, 3 | [0,4,9,7,3] ; [0,4,9,7,3] ; [0,4,7,9,3] ; [0,3,4,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 0, 7, 4, 2 | [0,5,7,4,2] ; [0,5,4,7,2] ; [0,4,5,7,2] ; [0,2,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 482+702 | round:490+702=1192 ; adjust:1192-8=1184 ; sum=1184 |
list_summation | list_summation:pairwise | 0, 5, 1, 8 | 0+5=5 ; 1+8=9 ; 5+9=14 |
base_conversion | base_conversion:repeated-division | n=72,base=16 | DIV:72/16=4,r:8 ; DIV:4/16=0,r:4 ; OUT:48 |
multidigit_addition | multidigit_addition:rounding-decomposition | 532+808 | round:540+808=1348 ; adjust:1348-8=1340 ; sum=1340 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 9, 2, 5, 8 | [2,5,6,9,8] ; [2,5,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 5, 3, 8, 6 | [0,5,3,8,6] ; [0,3,5,8,6] ; [0,3,5,8,6] ; [0,3,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-14 | 7x-35=-14 ; 7x=21 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=30 | 3x+21=30 ; x+7=10 ; x=10-7 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 7, 4, 2 | [1,9,7,4,2] ; [1,9,4,7,2] ; [1,4,7,9,2] ; [1,2,4,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-144 | 8x-72=-144 ; x=(-144--72)/8 ; x=-72/8 ; x=-9 |
list_summation | list_summation:right-to-left | 9, 3, 8, 8 | 8+8=16 ; 3+16=19 ; 9+19=28 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 0, 9, 6, 4 | [0,3,9,6,4] ; [0,3,6,9,4] ; [0,3,6,4,9] ; [0,3,4,6,9] |
list_summation | list_summation:left-to-right | 8, 8, 5, 9 | 8+8=16 ; 16+5=21 ; 21+9=30 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-24=-42 | 3x-24=-42 ; 3x=-18 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=96 | 6x+54=96 ; x+9=16 ; x=16-9 ; x=7 |
base_conversion | base_conversion:repeated-division | n=170,base=4 | DIV:170/4=42,r:2 ; DIV:42/4=10,r:2 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2222 |
base_conversion | base_conversion:repeated-division | n=113,base=8 | DIV:113/8=14,r:1 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:161 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 4, 5, 6, 3 | [0,4,5,6,3] ; [0,4,5,6,3] ; [0,4,5,6,3] ; [0,3,4,5,6] |
base_conversion | base_conversion:repeated-division | n=38,base=2 | DIV:38/2=19,r:0 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100110 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=0 | 3x+6=0 ; x+2=0 ; x=0-2 ; x=-2 |
base_conversion | base_conversion:decomposition | n=67,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1000011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 973+913 | p100:900+900=1800 ; p10:70+10=80 ; p1:3+3=6 ; sum=1800+80+6=1886 |
list_summation | list_summation:pairwise | 8, 1, 4, 0 | 8+1=9 ; 4+0=4 ; 9+4=13 |
list_summation | list_summation:right-to-left | 2, 6, 7, 7 | 7+7=14 ; 6+14=20 ; 2+20=22 |
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