task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=73,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1001001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=9 | 9x-18=9 ; x+-2=1 ; x=1--2 ; x=3 |
base_conversion | base_conversion:repeated-division | n=133,base=2 | DIV:133/2=66,r:1 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; 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:10000101 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,4) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=10 | 5x-15=10 ; x+-3=2 ; x=2--3 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 3, 4, 0, 5 | [0,3,4,7,5] ; [0,3,4,7,5] ; [0,3,4,7,5] ; [0,3,4,5,7] |
base_conversion | base_conversion:decomposition | n=66,base=8 | TERM:1*8^2=64 ; TERM:0*8^1=0 ; TERM:2*8^0=2 ; OUT:102 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,4) | D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
base_conversion | base_conversion:decomposition | n=152,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:230 |
list_summation | list_summation:left-to-right | 0, 8, 6, 1 | 0+8=8 ; 8+6=14 ; 14+1=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+16=88 | 8x+16=88 ; 8x=72 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,1) | R:(2,1) ; D:(3,1) ; D:(4,1) |
base_conversion | base_conversion:repeated-division | n=223,base=16 | DIV:223/16=13,r:15 ; DIV:13/16=0,r:13 ; OUT:DF |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=77 | 7x+49=77 ; x+7=11 ; x=11-7 ; x=4 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 9, 7, 0 | [0,6,9,7,3] ; [0,3,9,7,6] ; [0,3,6,7,9] ; [0,3,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+8=16 | 8x+8=16 ; x=(16-8)/8 ; x=8/8 ; x=1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=-8 | 8x+8=-8 ; 8x=-16 ; x=-2 |
list_summation | list_summation:right-to-left | 2, 6, 4, 7 | 4+7=11 ; 6+11=17 ; 2+17=19 |
list_summation | list_summation:right-to-left | 0, 3, 3, 3 | 3+3=6 ; 3+6=9 ; 0+9=9 |
base_conversion | base_conversion:decomposition | n=213,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:325 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-56 | 7x-56=-56 ; x=(-56--56)/7 ; x=0/7 ; x=0 |
base_conversion | base_conversion:decomposition | n=144,base=16 | TERM:9*16^1=144 ; TERM:0*16^0=0 ; OUT:90 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 4, 8, 3 | [7,8,4,1,3] ; [8,7,4,1,3] ; [3,7,4,1,8] ; [7,3,4,1,8] ; [1,3,4,7,8] ; [4,3,1,7,8] ; [1,3,4,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=45 | 3x+21=45 ; x+7=15 ; x=15-7 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+24=66 | 6x+24=66 ; 6x=42 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-72=-90 | 9x-72=-90 ; 9x=-18 ; x=-2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 554+773 | p100:500+700=1200 ; p10:50+70=120 ; p1:4+3=7 ; sum=1200+120+7=1327 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 1, 4, 6, 9 | [1,7,4,6,9] ; [1,4,7,6,9] ; [1,4,6,7,9] ; [1,4,6,7,9] |
list_summation | list_summation:right-to-left | 0, 2, 3, 5 | 3+5=8 ; 2+8=10 ; 0+10=10 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 5, 4, 0 | [1,9,5,4,0] ; [1,5,9,4,0] ; [1,4,5,9,0] ; [0,1,4,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 944+377 | p100:900+300=1200 ; p10:40+70=110 ; p1:4+7=11 ; sum=1200+110+11=1321 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 1, 8, 2, 9 | [1,7,8,2,9] ; [1,7,2,8,9] ; [1,2,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 4, 6, 2, 5 | [2,4,6,3,5] ; [2,3,6,4,5] ; [2,3,4,6,5] ; [2,3,4,5,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=-27 | 3x+0=-27 ; 3x=-27 ; x=-9 |
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 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 1, 5, 7, 0 | [1,9,5,7,0] ; [1,5,7,9,0] ; [0,1,5,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 210+412 | p100:200+400=600 ; p10:10+10=20 ; p1:0+2=2 ; sum=600+20+2=622 |
list_summation | list_summation:left-to-right | 0, 9, 5, 6 | 0+9=9 ; 9+5=14 ; 14+6=20 |
base_conversion | base_conversion:via-binary | n=207,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:15 ; OUT:CF |
multidigit_addition | multidigit_addition:right-to-left-carry | 238+824 | d2:8+4+0=12→w2,c1 ; d1:3+2+1=6→w6,c0 ; d0:2+8+0=10→w0,c1 ; sum=1062 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 9, 4, 3 | [1,2,9,4,3] ; [1,2,9,4,3] ; [1,2,3,4,9] ; [1,2,3,4,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 597+142 | round:600+142=742 ; adjust:742-3=739 ; sum=739 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-80 | 5x-45=-80 ; 5x=-35 ; x=-7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 1, 6, 8, 4 | [0,1,6,4,8] ; [0,1,4,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-72=-9 | 9x-72=-9 ; x=(-9--72)/9 ; x=63/9 ; x=7 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 3, 0, 7 | [2,6,0,3,7] ; [0,2,3,6,7] |
list_summation | list_summation:left-to-right | 1, 7, 1, 3 | 1+7=8 ; 8+1=9 ; 9+3=12 |
base_conversion | base_conversion:decomposition | n=5,base=8 | TERM:5*8^0=5 ; OUT:5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+32=36 | 4x+32=36 ; x=(36-32)/4 ; x=4/4 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 212+535 | round:220+535=755 ; adjust:755-8=747 ; sum=747 |
list_summation | list_summation:pairwise | 4, 3, 0, 4 | 4+3=7 ; 0+4=4 ; 7+4=11 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 4, 2, 0 | [1,3,4,2,0] ; [1,3,2,4,0] ; [1,2,3,4,0] ; [0,1,2,3,4] |
base_conversion | base_conversion:repeated-division | n=33,base=16 | DIV:33/16=2,r:1 ; DIV:2/16=0,r:2 ; OUT:21 |
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+0=12 | 2x+0=12 ; 2x=12 ; x=6 |
list_summation | list_summation:pairwise | 5, 8, 1, 3 | 5+8=13 ; 1+3=4 ; 13+4=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,2) | R:(1,2) ; D:(2,2) ; D:(3,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 496+607 | p100:400+600=1000 ; p10:90+0=90 ; p1:6+7=13 ; sum=1000+90+13=1103 |
multidigit_addition | multidigit_addition:rounding-decomposition | 838+449 | round:840+449=1289 ; adjust:1289-2=1287 ; sum=1287 |
base_conversion | base_conversion:decomposition | n=110,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:1232 |
list_summation | list_summation:pairwise | 5, 4, 5, 4 | 5+4=9 ; 5+4=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 586+312 | round:590+312=902 ; adjust:902-4=898 ; sum=898 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-7=49 | 7x-7=49 ; x+-1=7 ; x=7--1 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 6, 5, 0 | [3,6,7,5,0] ; [3,6,5,7,0] ; [3,6,5,0,7] ; [3,5,6,0,7] ; [3,5,0,6,7] ; [3,0,5,6,7] ; [0,3,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=81 | 9x+0=81 ; x=(81-0)/9 ; x=81/9 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 821+970 | d2:1+0+0=1→w1,c0 ; d1:2+7+0=9→w9,c0 ; d0:8+9+0=17→w7,c1 ; sum=1791 |
multidigit_addition | multidigit_addition:rounding-decomposition | 541+399 | round:550+399=949 ; adjust:949-9=940 ; sum=940 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+9=90 | 9x+9=90 ; 9x=81 ; x=9 |
list_summation | list_summation:right-to-left | 0, 8, 5, 6 | 5+6=11 ; 8+11=19 ; 0+19=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=16 | 4x-16=16 ; x=(16--16)/4 ; x=32/4 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 4, 0, 9 | [0,6,4,7,9] ; [0,4,6,7,9] ; [0,4,6,7,9] ; [0,4,6,7,9] |
list_summation | list_summation:right-to-left | 8, 7, 8, 7 | 8+7=15 ; 7+15=22 ; 8+22=30 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=8 | 8x-24=8 ; x=(8--24)/8 ; x=32/8 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 7, 4, 1 | [8,4,7,2,1] ; [1,4,7,2,8] ; [7,4,1,2,8] ; [2,4,1,7,8] ; [4,2,1,7,8] ; [1,2,4,7,8] ; [2,1,4,7,8] ; [1,2,4,7,8] |
base_conversion | base_conversion:repeated-division | n=222,base=8 | DIV:222/8=27,r:6 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:336 |
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:merge-sort | 8, 4, 3, 6, 7 | [4,8,3,6,7] ; [3,4,6,8,7] ; [3,4,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=52 | 4x+24=52 ; x+6=13 ; x=13-6 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 825+613 | d2:5+3+0=8→w8,c0 ; d1:2+1+0=3→w3,c0 ; d0:8+6+0=14→w4,c1 ; sum=1438 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=15 | 5x-20=15 ; x+-4=3 ; x=3--4 ; x=7 |
list_summation | list_summation:left-to-right | 5, 2, 4, 9 | 5+2=7 ; 7+4=11 ; 11+9=20 |
list_summation | list_summation:left-to-right | 9, 9, 2, 9 | 9+9=18 ; 18+2=20 ; 20+9=29 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=10 | 5x+0=10 ; x=(10-0)/5 ; x=10/5 ; x=2 |
base_conversion | base_conversion:via-binary | n=89,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:9 ; OUT:59 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 421+377 | d2:1+7+0=8→w8,c0 ; d1:2+7+0=9→w9,c0 ; d0:4+3+0=7→w7,c0 ; sum=798 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=0 | 9x-63=0 ; x+-7=0 ; x=0--7 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 364+838 | round:370+838=1208 ; adjust:1208-6=1202 ; sum=1202 |
multidigit_addition | multidigit_addition:right-to-left-carry | 328+232 | d2:8+2+0=10→w0,c1 ; d1:2+3+1=6→w6,c0 ; d0:3+2+0=5→w5,c0 ; sum=560 |
multidigit_addition | multidigit_addition:rounding-decomposition | 301+597 | round:310+597=907 ; adjust:907-9=898 ; sum=898 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(2,2) | R:(0,2) ; D:(1,2) ; D:(2,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 623+154 | round:630+154=784 ; adjust:784-7=777 ; sum=777 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+16=0 | 2x+16=0 ; x=(0-16)/2 ; x=-16/2 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 475+960 | p100:400+900=1300 ; p10:70+60=130 ; p1:5+0=5 ; sum=1300+130+5=1435 |
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