task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 964+697 | d2:4+7+0=11→w1,c1 ; d1:6+9+1=16→w6,c1 ; d0:9+6+1=16→w6,c1 ; sum=1661 |
base_conversion | base_conversion:repeated-division | n=128,base=2 | DIV:128/2=64,r:0 ; DIV:64/2=32,r:0 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000000 |
multidigit_addition | multidigit_addition:right-to-left-carry | 189+425 | d2:9+5+0=14→w4,c1 ; d1:8+2+1=11→w1,c1 ; d0:1+4+1=6→w6,c0 ; sum=614 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 0, 5, 9, 4 | [0,1,5,9,4] ; [0,1,5,9,4] ; [0,1,5,9,4] ; [0,1,4,5,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 748+338 | round:750+338=1088 ; adjust:1088-2=1086 ; sum=1086 |
base_conversion | base_conversion:decomposition | n=142,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10001110 |
multidigit_addition | multidigit_addition:rounding-decomposition | 163+901 | round:170+901=1071 ; adjust:1071-7=1064 ; sum=1064 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 0, 3, 2 | [0,1,7,3,2] ; [0,1,7,3,2] ; [0,1,2,3,7] ; [0,1,2,3,7] |
base_conversion | base_conversion:decomposition | n=142,base=16 | TERM:8*16^1=128 ; TERM:14*16^0=14 ; OUT:8E |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-25=10 | 5x-25=10 ; x=(10--25)/5 ; x=35/5 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(1,2) | D:(1,0) ; R:(1,1) ; R:(1,2) |
base_conversion | base_conversion:decomposition | n=26,base=8 | TERM:3*8^1=24 ; TERM:2*8^0=2 ; OUT:32 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-12=4 | 2x-12=4 ; x=(4--12)/2 ; x=16/2 ; x=8 |
list_summation | list_summation:right-to-left | 8, 7, 0, 9 | 0+9=9 ; 7+9=16 ; 8+16=24 |
list_summation | list_summation:right-to-left | 4, 8, 8, 1 | 8+1=9 ; 8+9=17 ; 4+17=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 993+430 | round:1000+430=1430 ; adjust:1430-7=1423 ; sum=1423 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+63=63 | 7x+63=63 ; x=(63-63)/7 ; x=0/7 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 4, 8, 2 | [9,8,4,3,2] ; [2,8,4,3,9] ; [8,2,4,3,9] ; [8,3,4,2,9] ; [2,3,4,8,9] ; [4,3,2,8,9] ; [2,3,4,8,9] ; [3,2,4,8,9] ; [2,3,4,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 4, 1, 6 | [8,9,1,4,6] ; [1,4,8,9,6] ; [1,4,6,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-30=-25 | 5x-30=-25 ; x+-6=-5 ; x=-5--6 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 0, 9, 5, 3 | [4,5,9,0,3] ; [9,5,4,0,3] ; [3,5,4,0,9] ; [5,3,4,0,9] ; [0,3,4,5,9] ; [4,3,0,5,9] ; [0,3,4,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
list_summation | list_summation:right-to-left | 5, 7, 1, 3 | 1+3=4 ; 7+4=11 ; 5+11=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=-48 | 8x+8=-48 ; 8x=-56 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 584+199 | d2:4+9+0=13→w3,c1 ; d1:8+9+1=18→w8,c1 ; d0:5+1+1=7→w7,c0 ; sum=783 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=48 | 6x+24=48 ; x=(48-24)/6 ; x=24/6 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(3,4) | D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 135+691 | round:140+691=831 ; adjust:831-5=826 ; sum=826 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 3, 9, 2, 1 | [3,4,9,2,1] ; [3,4,2,9,1] ; [2,3,4,9,1] ; [1,2,3,4,9] |
base_conversion | base_conversion:repeated-division | n=24,base=8 | DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:30 |
multidigit_addition | multidigit_addition:right-to-left-carry | 544+318 | d2:4+8+0=12→w2,c1 ; d1:4+1+1=6→w6,c0 ; d0:5+3+0=8→w8,c0 ; sum=862 |
multidigit_addition | multidigit_addition:rounding-decomposition | 714+838 | round:720+838=1558 ; adjust:1558-6=1552 ; sum=1552 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 0, 4, 7 | [3,9,0,4,7] ; [3,0,9,4,7] ; [3,0,4,9,7] ; [3,0,4,7,9] ; [0,3,4,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-4=-4 | 4x-4=-4 ; x=(-4--4)/4 ; x=0/4 ; x=0 |
list_summation | list_summation:left-to-right | 2, 1, 0, 5 | 2+1=3 ; 3+0=3 ; 3+5=8 |
list_summation | list_summation:pairwise | 4, 8, 8, 4 | 4+8=12 ; 8+4=12 ; 12+12=24 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,2) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 305+539 | p100:300+500=800 ; p10:0+30=30 ; p1:5+9=14 ; sum=800+30+14=844 |
base_conversion | base_conversion:repeated-division | n=19,base=2 | 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:10011 |
list_summation | list_summation:pairwise | 5, 1, 9, 8 | 5+1=6 ; 9+8=17 ; 6+17=23 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=-6 | 6x+30=-6 ; x+5=-1 ; x=-1-5 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,3) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 3, 7, 6 | [5,9,3,7,6] ; [5,3,9,7,6] ; [5,3,7,9,6] ; [5,3,7,6,9] ; [3,5,7,6,9] ; [3,5,6,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+72=90 | 9x+72=90 ; 9x=18 ; x=2 |
base_conversion | base_conversion:repeated-division | n=19,base=2 | 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:10011 |
multidigit_addition | multidigit_addition:rounding-decomposition | 759+727 | round:760+727=1487 ; adjust:1487-1=1486 ; sum=1486 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 5, 3, 0 | [8,9,5,3,0] ; [5,8,9,3,0] ; [3,5,8,9,0] ; [0,3,5,8,9] |
base_conversion | base_conversion:repeated-division | n=203,base=4 | DIV:203/4=50,r:3 ; DIV:50/4=12,r:2 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3023 |
list_summation | list_summation:left-to-right | 1, 1, 1, 2 | 1+1=2 ; 2+1=3 ; 3+2=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=-18 | 6x-48=-18 ; x=(-18--48)/6 ; x=30/6 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 4, 8, 6 | [1,2,4,8,6] ; [1,2,4,8,6] ; [1,2,4,8,6] ; [1,2,4,6,8] |
base_conversion | base_conversion:repeated-division | n=51,base=2 | DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; 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:110011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=-36 | 4x-12=-36 ; x=(-36--12)/4 ; x=-24/4 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 3, 9, 0 | [4,3,5,9,0] ; [4,3,5,0,9] ; [3,4,5,0,9] ; [3,4,0,5,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,5) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 406+831 | d2:6+1+0=7→w7,c0 ; d1:0+3+0=3→w3,c0 ; d0:4+8+0=12→w2,c1 ; sum=1237 |
list_summation | list_summation:right-to-left | 6, 0, 9, 8 | 9+8=17 ; 0+17=17 ; 6+17=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,4) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:left-to-right | 3, 9, 3, 0 | 3+9=12 ; 12+3=15 ; 15+0=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 247+971 | round:250+971=1221 ; adjust:1221-3=1218 ; sum=1218 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=-24 | 4x+0=-24 ; 4x=-24 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=48 | 6x-6=48 ; x+-1=8 ; x=8--1 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 864+227 | p100:800+200=1000 ; p10:60+20=80 ; p1:4+7=11 ; sum=1000+80+11=1091 |
multidigit_addition | multidigit_addition:left-to-right-partials | 705+298 | p100:700+200=900 ; p10:0+90=90 ; p1:5+8=13 ; sum=900+90+13=1003 |
list_summation | list_summation:pairwise | 0, 8, 2, 6 | 0+8=8 ; 2+6=8 ; 8+8=16 |
base_conversion | base_conversion:decomposition | n=169,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:2221 |
multidigit_addition | multidigit_addition:left-to-right-partials | 795+864 | p100:700+800=1500 ; p10:90+60=150 ; p1:5+4=9 ; sum=1500+150+9=1659 |
base_conversion | base_conversion:repeated-division | n=7,base=8 | DIV:7/8=0,r:7 ; OUT:7 |
list_summation | list_summation:left-to-right | 2, 2, 4, 5 | 2+2=4 ; 4+4=8 ; 8+5=13 |
base_conversion | base_conversion:decomposition | n=246,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11110110 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=16 | 8x+8=16 ; 8x=8 ; x=1 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 8, 9, 7 | [2,6,8,9,7] ; [2,6,8,9,7] ; [2,6,7,9,8] ; [2,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=-35 | 7x+7=-35 ; 7x=-42 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 2, 7, 5 | [2,6,3,7,5] ; [2,3,6,7,5] ; [2,3,5,7,6] ; [2,3,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 575+133 | round:580+133=713 ; adjust:713-5=708 ; sum=708 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(3,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-24=0 | 3x-24=0 ; x=(0--24)/3 ; x=24/3 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(2,5) | D:(1,4) ; D:(2,4) ; R:(2,5) |
base_conversion | base_conversion:via-binary | n=225,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:1 ; OUT:341 |
multidigit_addition | multidigit_addition:left-to-right-partials | 487+553 | p100:400+500=900 ; p10:80+50=130 ; p1:7+3=10 ; sum=900+130+10=1040 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=70 | 7x+49=70 ; 7x=21 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+14=12 | 2x+14=12 ; x+7=6 ; x=6-7 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 851+409 | d2:1+9+0=10→w0,c1 ; d1:5+0+1=6→w6,c0 ; d0:8+4+0=12→w2,c1 ; sum=1260 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-36=-81 | 9x-36=-81 ; x=(-81--36)/9 ; x=-45/9 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 492+208 | p100:400+200=600 ; p10:90+0=90 ; p1:2+8=10 ; sum=600+90+10=700 |
base_conversion | base_conversion:via-binary | n=227,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3203 |
base_conversion | base_conversion:decomposition | n=61,base=4 | TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:331 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(4,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=96,base=2 | DIV:96/2=48,r:0 ; DIV:48/2=24,r:0 ; 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:1100000 |
multidigit_addition | multidigit_addition:right-to-left-carry | 931+419 | d2:1+9+0=10→w0,c1 ; d1:3+1+1=5→w5,c0 ; d0:9+4+0=13→w3,c1 ; sum=1350 |
list_summation | list_summation:left-to-right | 2, 7, 0, 8 | 2+7=9 ; 9+0=9 ; 9+8=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 744+288 | round:750+288=1038 ; adjust:1038-6=1032 ; sum=1032 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 2, 3, 0, 7 | [1,2,0,3,7] ; [0,1,2,3,7] |
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