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 | 738+916 | p100:700+900=1600 ; p10:30+10=40 ; p1:8+6=14 ; sum=1600+40+14=1654 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 6, 3, 2, 5 | [1,3,6,2,5] ; [1,3,2,6,5] ; [1,3,2,5,6] ; [1,2,3,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 103+195 | d2:3+5+0=8→w8,c0 ; d1:0+9+0=9→w9,c0 ; d0:1+1+0=2→w2,c0 ; sum=298 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 9, 5, 6 | [2,4,9,5,6] ; [2,4,9,5,6] ; [2,4,5,9,6] ; [2,4,5,6,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 1, 0, 7 | [4,6,1,0,7] ; [1,4,6,0,7] ; [0,1,4,6,7] ; [0,1,4,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 0, 2, 9, 8 | [0,6,2,9,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(4,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,5) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 5, 0, 1 | [8,3,5,0,1] ; [1,3,5,0,8] ; [5,3,1,0,8] ; [0,3,1,5,8] ; [3,0,1,5,8] ; [1,0,3,5,8] ; [0,1,3,5,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 7, 8, 5 | [2,6,7,8,5] ; [2,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+9=15 | 3x+9=15 ; 3x=6 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+12=66 | 6x+12=66 ; x=(66-12)/6 ; x=54/6 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-42 | 6x-48=-42 ; 6x=6 ; x=1 |
base_conversion | base_conversion:decomposition | n=7,base=8 | TERM:7*8^0=7 ; OUT:7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 825+530 | d2:5+0+0=5→w5,c0 ; d1:2+3+0=5→w5,c0 ; d0:8+5+0=13→w3,c1 ; sum=1355 |
base_conversion | base_conversion:via-binary | n=165,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:2211 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(3,1) | R:(1,1) ; D:(2,1) ; D:(3,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 990+147 | d2:0+7+0=7→w7,c0 ; d1:9+4+0=13→w3,c1 ; d0:9+1+1=11→w1,c1 ; sum=1137 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 6, 5, 4 | [8,0,6,5,4] ; [8,5,6,0,4] ; [4,5,6,0,8] ; [6,5,4,0,8] ; [0,5,4,6,8] ; [5,0,4,6,8] ; [4,0,5,6,8] ; [0,4,5,6,8] |
list_summation | list_summation:pairwise | 5, 1, 0, 8 | 5+1=6 ; 0+8=8 ; 6+8=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+27=-27 | 9x+27=-27 ; x+3=-3 ; x=-3-3 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=0 | 9x-81=0 ; x=(0--81)/9 ; x=81/9 ; x=9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 313+808 | p100:300+800=1100 ; p10:10+0=10 ; p1:3+8=11 ; sum=1100+10+11=1121 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=28 | 7x+14=28 ; 7x=14 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 555+292 | d2:5+2+0=7→w7,c0 ; d1:5+9+0=14→w4,c1 ; d0:5+2+1=8→w8,c0 ; sum=847 |
list_summation | list_summation:right-to-left | 1, 6, 3, 4 | 3+4=7 ; 6+7=13 ; 1+13=14 |
base_conversion | base_conversion:via-binary | n=158,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:14 ; OUT:9E |
multidigit_addition | multidigit_addition:left-to-right-partials | 897+500 | p100:800+500=1300 ; p10:90+0=90 ; p1:7+0=7 ; sum=1300+90+7=1397 |
base_conversion | base_conversion:decomposition | n=150,base=16 | TERM:9*16^1=144 ; TERM:6*16^0=6 ; OUT:96 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,3) | R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 664+416 | d2:4+6+0=10→w0,c1 ; d1:6+1+1=8→w8,c0 ; d0:6+4+0=10→w0,c1 ; sum=1080 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 3, 0, 9, 6 | [1,9,0,3,6] ; [9,1,0,3,6] ; [9,6,0,3,1] ; [1,6,0,3,9] ; [6,1,0,3,9] ; [6,3,0,1,9] ; [1,3,0,6,9] ; [3,1,0,6,9] ; [0,1,3,6,9] ; [1,0,3,6,9] ; [0,1,3,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 8, 2, 1, 7 | [8,0,2,1,7] ; [8,7,2,1,0] ; [0,7,2,1,8] ; [7,0,2,1,8] ; [7,1,2,0,8] ; [0,1,2,7,8] ; [2,1,0,7,8] ; [0,1,2,7,8] ; [1,0,2,7,8] ; [0,1,2,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-4 | 2x-16=-4 ; 2x=12 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=12 | 2x+2=12 ; 2x=10 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-36=27 | 9x-36=27 ; x+-4=3 ; x=3--4 ; x=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 9, 3, 6 | [4,7,9,3,6] ; [4,7,9,3,6] ; [3,4,7,9,6] ; [3,4,6,7,9] |
list_summation | list_summation:left-to-right | 4, 3, 8, 2 | 4+3=7 ; 7+8=15 ; 15+2=17 |
base_conversion | base_conversion:decomposition | n=13,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1101 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 1, 2, 7, 5 | [1,6,2,7,5] ; [1,2,6,7,5] ; [1,2,6,5,7] ; [1,2,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
base_conversion | base_conversion:repeated-division | n=83,base=2 | DIV:83/2=41,r:1 ; DIV:41/2=20,r:1 ; 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:1010011 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 5, 4, 8, 2 | [2,5,4,8,7] ; [2,4,5,8,7] ; [2,4,5,8,7] ; [2,4,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=-28 | 7x+7=-28 ; x=(-28-7)/7 ; x=-35/7 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 0, 8, 4 | [1,0,9,8,4] ; [1,0,8,9,4] ; [1,0,8,4,9] ; [0,1,8,4,9] ; [0,1,4,8,9] |
list_summation | list_summation:right-to-left | 5, 8, 2, 6 | 2+6=8 ; 8+8=16 ; 5+16=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+12=28 | 4x+12=28 ; x=(28-12)/4 ; x=16/4 ; x=4 |
base_conversion | base_conversion:via-binary | n=205,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:315 |
base_conversion | base_conversion:decomposition | n=52,base=2 | TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:110100 |
list_summation | list_summation:left-to-right | 2, 7, 6, 9 | 2+7=9 ; 9+6=15 ; 15+9=24 |
base_conversion | base_conversion:via-binary | n=255,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:3333 |
list_summation | list_summation:pairwise | 1, 8, 3, 5 | 1+8=9 ; 3+5=8 ; 9+8=17 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 5, 7, 8, 2 | [3,5,7,8,2] ; [3,5,7,8,2] ; [3,5,7,8,2] ; [2,3,5,7,8] |
base_conversion | base_conversion:decomposition | n=15,base=4 | TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:33 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-16 | 8x-56=-16 ; 8x=40 ; x=5 |
base_conversion | base_conversion:repeated-division | n=197,base=16 | DIV:197/16=12,r:5 ; DIV:12/16=0,r:12 ; OUT:C5 |
list_summation | list_summation:pairwise | 4, 7, 1, 8 | 4+7=11 ; 1+8=9 ; 11+9=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 128+955 | round:130+955=1085 ; adjust:1085-2=1083 ; sum=1083 |
base_conversion | base_conversion:via-binary | n=136,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2020 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=-22 | 2x-8=-22 ; 2x=-14 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
list_summation | list_summation:pairwise | 5, 7, 6, 8 | 5+7=12 ; 6+8=14 ; 12+14=26 |
list_summation | list_summation:pairwise | 2, 2, 3, 4 | 2+2=4 ; 3+4=7 ; 4+7=11 |
base_conversion | base_conversion:repeated-division | n=191,base=2 | DIV:191/2=95,r:1 ; DIV:95/2=47,r:1 ; 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:10111111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-72=-24 | 8x-72=-24 ; x=(-24--72)/8 ; x=48/8 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,3) | R:(4,2) ; D:(5,2) ; R:(5,3) |
list_summation | list_summation:pairwise | 8, 9, 7, 8 | 8+9=17 ; 7+8=15 ; 17+15=32 |
multidigit_addition | multidigit_addition:right-to-left-carry | 612+930 | d2:2+0+0=2→w2,c0 ; d1:1+3+0=4→w4,c0 ; d0:6+9+0=15→w5,c1 ; sum=1542 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 6, 0, 9 | [8,9,6,0,2] ; [9,8,6,0,2] ; [2,8,6,0,9] ; [8,2,6,0,9] ; [0,2,6,8,9] ; [6,2,0,8,9] ; [0,2,6,8,9] ; [2,0,6,8,9] ; [0,2,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 4, 1, 3, 5 | [8,5,1,3,4] ; [4,5,1,3,8] ; [5,4,1,3,8] ; [3,4,1,5,8] ; [4,3,1,5,8] ; [1,3,4,5,8] ; [3,1,4,5,8] ; [1,3,4,5,8] |
base_conversion | base_conversion:via-binary | n=119,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1110111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-21 | 3x-15=-21 ; x+-5=-7 ; x=-7--5 ; x=-2 |
list_summation | list_summation:pairwise | 3, 7, 2, 9 | 3+7=10 ; 2+9=11 ; 10+11=21 |
list_summation | list_summation:left-to-right | 4, 7, 1, 8 | 4+7=11 ; 11+1=12 ; 12+8=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+48=80 | 8x+48=80 ; x+6=10 ; x=10-6 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=-72 | 8x-56=-72 ; x=(-72--56)/8 ; x=-16/8 ; x=-2 |
base_conversion | base_conversion:decomposition | n=11,base=4 | TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:23 |
base_conversion | base_conversion:repeated-division | n=150,base=4 | DIV:150/4=37,r:2 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2112 |
base_conversion | base_conversion:via-binary | n=59,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:3 ; OUT:323 |
base_conversion | base_conversion:repeated-division | n=92,base=2 | DIV:92/2=46,r:0 ; DIV:46/2=23,r:0 ; 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:1011100 |
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 | 870+179 | d2:0+9+0=9→w9,c0 ; d1:7+7+0=14→w4,c1 ; d0:8+1+1=10→w0,c1 ; sum=1049 |
list_summation | list_summation:pairwise | 1, 1, 4, 7 | 1+1=2 ; 4+7=11 ; 2+11=13 |
list_summation | list_summation:pairwise | 5, 8, 7, 1 | 5+8=13 ; 7+1=8 ; 13+8=21 |
list_summation | list_summation:left-to-right | 4, 6, 9, 1 | 4+6=10 ; 10+9=19 ; 19+1=20 |
list_summation | list_summation:right-to-left | 2, 7, 0, 8 | 0+8=8 ; 7+8=15 ; 2+15=17 |
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 |
base_conversion | base_conversion:repeated-division | n=86,base=8 | DIV:86/8=10,r:6 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:126 |
multidigit_addition | multidigit_addition:rounding-decomposition | 833+673 | round:840+673=1513 ; adjust:1513-7=1506 ; sum=1506 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=70 | 7x+42=70 ; x+6=10 ; x=10-6 ; x=4 |
base_conversion | base_conversion:via-binary | n=30,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:132 |
list_summation | list_summation:right-to-left | 3, 9, 8, 3 | 8+3=11 ; 9+11=20 ; 3+20=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 892+998 | p100:800+900=1700 ; p10:90+90=180 ; p1:2+8=10 ; sum=1700+180+10=1890 |
list_summation | list_summation:right-to-left | 9, 4, 0, 0 | 0+0=0 ; 4+0=4 ; 9+4=13 |
list_summation | list_summation:right-to-left | 4, 8, 5, 6 | 5+6=11 ; 8+11=19 ; 4+19=23 |
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