task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=188,base=2 | DIV:188/2=94,r:0 ; DIV:94/2=47,r:0 ; DIV:47/2=23,r:1 ; DIV:23/2=11,r:1 ; 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:10111100 |
list_summation | list_summation:right-to-left | 7, 6, 2, 4 | 2+4=6 ; 6+6=12 ; 7+12=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=104 | 8x+64=104 ; x=(104-64)/8 ; x=40/8 ; x=5 |
list_summation | list_summation:left-to-right | 7, 4, 3, 4 | 7+4=11 ; 11+3=14 ; 14+4=18 |
base_conversion | base_conversion:decomposition | n=87,base=2 | TERM:1*2^6=64 ; 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:1010111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=-9 | 3x-12=-9 ; x+-4=-3 ; x=-3--4 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 448+750 | p100:400+700=1100 ; p10:40+50=90 ; p1:8+0=8 ; sum=1100+90+8=1198 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=115,base=8 | DIV:115/8=14,r:3 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:163 |
base_conversion | base_conversion:repeated-division | n=81,base=2 | DIV:81/2=40,r:1 ; DIV:40/2=20,r:0 ; DIV:20/2=10,r:0 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010001 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 0, 4, 5 | [3,7,0,4,5] ; [3,0,7,4,5] ; [3,0,4,7,5] ; [3,0,4,5,7] ; [0,3,4,5,7] |
list_summation | list_summation:pairwise | 0, 5, 8, 4 | 0+5=5 ; 8+4=12 ; 5+12=17 |
list_summation | list_summation:right-to-left | 6, 1, 3, 9 | 3+9=12 ; 1+12=13 ; 6+13=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=205,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3031 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=20 | 5x-5=20 ; x=(20--5)/5 ; x=25/5 ; x=5 |
base_conversion | base_conversion:repeated-division | n=20,base=16 | DIV:20/16=1,r:4 ; DIV:1/16=0,r:1 ; OUT:14 |
list_summation | list_summation:right-to-left | 4, 0, 6, 2 | 6+2=8 ; 0+8=8 ; 4+8=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 7, 1, 0 | [0,6,7,1,8] ; [7,6,0,1,8] ; [1,6,0,7,8] ; [6,1,0,7,8] ; [0,1,6,7,8] ; [1,0,6,7,8] ; [0,1,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 528+117 | d2:8+7+0=15→w5,c1 ; d1:2+1+1=4→w4,c0 ; d0:5+1+0=6→w6,c0 ; sum=645 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+8=-2 | 2x+8=-2 ; 2x=-10 ; x=-5 |
list_summation | list_summation:pairwise | 6, 4, 9, 7 | 6+4=10 ; 9+7=16 ; 10+16=26 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-30=-55 | 5x-30=-55 ; x=(-55--30)/5 ; x=-25/5 ; x=-5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 9, 7, 8, 2 | [0,9,7,8,2] ; [0,7,9,8,2] ; [0,7,8,9,2] ; [0,2,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 706+324 | d2:6+4+0=10→w0,c1 ; d1:0+2+1=3→w3,c0 ; d0:7+3+0=10→w0,c1 ; sum=1030 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-6=0 | 6x-6=0 ; 6x=6 ; x=1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 5, 1, 0, 3 | [5,7,1,0,3] ; [5,1,7,0,3] ; [5,1,0,7,3] ; [5,1,0,3,7] ; [1,5,0,3,7] ; [1,0,5,3,7] ; [1,0,3,5,7] ; [0,1,3,5,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 8, 6, 4, 0 | 8+6=14 ; 4+0=4 ; 14+4=18 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=90 | 9x+9=90 ; 9x=81 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 323+612 | p100:300+600=900 ; p10:20+10=30 ; p1:3+2=5 ; sum=900+30+5=935 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 9, 1, 6 | [2,3,9,1,6] ; [2,3,9,1,6] ; [1,2,3,9,6] ; [1,2,3,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 7, 1, 1, 2 | 7+1=8 ; 8+1=9 ; 9+2=11 |
base_conversion | base_conversion:decomposition | n=39,base=4 | TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:213 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,2) | D:(5,0) ; R:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 4, 7, 5 | [2,6,4,7,5] ; [2,4,6,7,5] ; [2,4,5,7,6] ; [2,4,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 323+407 | d2:3+7+0=10→w0,c1 ; d1:2+0+1=3→w3,c0 ; d0:3+4+0=7→w7,c0 ; sum=730 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 5, 6, 7 | [0,9,5,6,7] ; [0,5,9,6,7] ; [0,5,6,9,7] ; [0,5,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=30 | 5x+25=30 ; 5x=5 ; x=1 |
base_conversion | base_conversion:repeated-division | n=34,base=4 | DIV:34/4=8,r:2 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:202 |
base_conversion | base_conversion:repeated-division | n=44,base=16 | DIV:44/16=2,r:12 ; DIV:2/16=0,r:2 ; OUT:2C |
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:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,5) | R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 899+730 | p100:800+700=1500 ; p10:90+30=120 ; p1:9+0=9 ; sum=1500+120+9=1629 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 3, 2, 8 | [2,4,3,9,8] ; [2,3,4,9,8] ; [2,3,4,9,8] ; [2,3,4,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=51 | 3x+24=51 ; x=(51-24)/3 ; x=27/3 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 102+703 | p100:100+700=800 ; p10:0+0=0 ; p1:2+3=5 ; sum=800+0+5=805 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=20 | 4x+16=20 ; 4x=4 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) |
base_conversion | base_conversion:via-binary | n=46,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:6 ; OUT:56 |
base_conversion | base_conversion:repeated-division | n=230,base=16 | DIV:230/16=14,r:6 ; DIV:14/16=0,r:14 ; OUT:E6 |
base_conversion | base_conversion:decomposition | n=146,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:2102 |
base_conversion | base_conversion:repeated-division | n=236,base=4 | DIV:236/4=59,r:0 ; DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3230 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-63=-126 | 7x-63=-126 ; 7x=-63 ; x=-9 |
list_summation | list_summation:left-to-right | 6, 2, 9, 9 | 6+2=8 ; 8+9=17 ; 17+9=26 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 4, 5, 3 | [7,6,4,5,3] ; [3,6,4,5,7] ; [6,3,4,5,7] ; [6,5,4,3,7] ; [3,5,4,6,7] ; [5,3,4,6,7] ; [4,3,5,6,7] ; [3,4,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-35=-45 | 5x-35=-45 ; 5x=-10 ; x=-2 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 0, 9, 2, 4 | [1,4,9,2,0] ; [9,4,1,2,0] ; [0,4,1,2,9] ; [4,0,1,2,9] ; [4,2,1,0,9] ; [0,2,1,4,9] ; [2,0,1,4,9] ; [1,0,2,4,9] ; [0,1,2,4,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+8=20 | 4x+8=20 ; x=(20-8)/4 ; x=12/4 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-48 | 6x-36=-48 ; x+-6=-8 ; x=-8--6 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+24=8 | 4x+24=8 ; x=(8-24)/4 ; x=-16/4 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=-8 | 2x+0=-8 ; 2x=-8 ; x=-4 |
list_summation | list_summation:left-to-right | 4, 8, 6, 4 | 4+8=12 ; 12+6=18 ; 18+4=22 |
list_summation | list_summation:left-to-right | 9, 1, 9, 6 | 9+1=10 ; 10+9=19 ; 19+6=25 |
base_conversion | base_conversion:via-binary | n=121,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:1321 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,4) | D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=157,base=16 | DIV:157/16=9,r:13 ; DIV:9/16=0,r:9 ; OUT:9D |
list_summation | list_summation:right-to-left | 0, 9, 1, 6 | 1+6=7 ; 9+7=16 ; 0+16=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 8, 4, 3 | [9,7,8,4,3] ; [3,7,8,4,9] ; [8,7,3,4,9] ; [4,7,3,8,9] ; [7,4,3,8,9] ; [3,4,7,8,9] ; [4,3,7,8,9] ; [3,4,7,8,9] |
list_summation | list_summation:pairwise | 8, 2, 9, 2 | 8+2=10 ; 9+2=11 ; 10+11=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=9 | 3x-15=9 ; 3x=24 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 218+123 | round:220+123=343 ; adjust:343-2=341 ; sum=341 |
multidigit_addition | multidigit_addition:rounding-decomposition | 719+372 | round:720+372=1092 ; adjust:1092-1=1091 ; sum=1091 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 1, 4, 5, 0 | [1,3,4,5,0] ; [1,3,4,5,0] ; [1,3,4,5,0] ; [0,1,3,4,5] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 6, 7, 9, 0 | [2,6,7,9,0] ; [2,6,7,9,0] ; [2,6,7,9,0] ; [0,2,6,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 8, 2, 1 | [4,7,8,2,1] ; [4,7,2,8,1] ; [4,7,2,1,8] ; [4,2,7,1,8] ; [4,2,1,7,8] ; [2,4,1,7,8] ; [2,1,4,7,8] ; [1,2,4,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 5, 6, 3 | [7,9,5,6,3] ; [5,7,9,6,3] ; [5,6,7,9,3] ; [3,5,6,7,9] |
list_summation | list_summation:right-to-left | 9, 4, 4, 6 | 4+6=10 ; 4+10=14 ; 9+14=23 |
list_summation | list_summation:left-to-right | 3, 4, 3, 5 | 3+4=7 ; 7+3=10 ; 10+5=15 |
list_summation | list_summation:left-to-right | 4, 4, 0, 4 | 4+4=8 ; 8+0=8 ; 8+4=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 349+963 | p100:300+900=1200 ; p10:40+60=100 ; p1:9+3=12 ; sum=1200+100+12=1312 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=42 | 7x+35=42 ; x=(42-35)/7 ; x=7/7 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 177+224 | round:180+224=404 ; adjust:404-3=401 ; sum=401 |
multidigit_addition | multidigit_addition:left-to-right-partials | 598+445 | p100:500+400=900 ; p10:90+40=130 ; p1:8+5=13 ; sum=900+130+13=1043 |
base_conversion | base_conversion:repeated-division | n=161,base=4 | DIV:161/4=40,r:1 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2201 |
list_summation | list_summation:left-to-right | 1, 8, 3, 9 | 1+8=9 ; 9+3=12 ; 12+9=21 |
base_conversion | base_conversion:decomposition | n=142,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:6*8^0=6 ; OUT:216 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+14=0 | 7x+14=0 ; x=(0-14)/7 ; x=-14/7 ; x=-2 |
list_summation | list_summation:right-to-left | 8, 3, 2, 3 | 2+3=5 ; 3+5=8 ; 8+8=16 |
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