task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-49=-77 | 7x-49=-77 ; x=(-77--49)/7 ; x=-28/7 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-4=-36 | 4x-4=-36 ; x+-1=-9 ; x=-9--1 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 9, 2, 0, 3 | [6,2,9,0,3] ; [6,2,0,9,3] ; [6,2,0,3,9] ; [2,6,0,3,9] ; [2,0,6,3,9] ; [2,0,3,6,9] ; [0,2,3,6,9] |
list_summation | list_summation:left-to-right | 8, 8, 8, 3 | 8+8=16 ; 16+8=24 ; 24+3=27 |
list_summation | list_summation:left-to-right | 2, 9, 9, 1 | 2+9=11 ; 11+9=20 ; 20+1=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 241+122 | d2:1+2+0=3→w3,c0 ; d1:4+2+0=6→w6,c0 ; d0:2+1+0=3→w3,c0 ; sum=363 |
base_conversion | base_conversion:repeated-division | n=141,base=16 | DIV:141/16=8,r:13 ; DIV:8/16=0,r:8 ; OUT:8D |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=24 | 6x-30=24 ; x+-5=4 ; x=4--5 ; x=9 |
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) |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 5, 7, 8, 6 | [9,8,7,5,6] ; [6,8,7,5,9] ; [8,6,7,5,9] ; [5,6,7,8,9] ; [7,6,5,8,9] ; [5,6,7,8,9] ; [6,5,7,8,9] ; [5,6,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 233+890 | round:240+890=1130 ; adjust:1130-7=1123 ; sum=1123 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,3) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; R:(1,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 622+644 | d2:2+4+0=6→w6,c0 ; d1:2+4+0=6→w6,c0 ; d0:6+6+0=12→w2,c1 ; sum=1266 |
list_summation | list_summation:left-to-right | 5, 8, 7, 3 | 5+8=13 ; 13+7=20 ; 20+3=23 |
base_conversion | base_conversion:repeated-division | n=119,base=16 | DIV:119/16=7,r:7 ; DIV:7/16=0,r:7 ; OUT:77 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-72 | 6x-48=-72 ; 6x=-24 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=-16 | 8x+40=-16 ; x=(-16-40)/8 ; x=-56/8 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 6, 7, 0 | [4,6,7,8,0] ; [0,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 371+366 | round:380+366=746 ; adjust:746-9=737 ; sum=737 |
base_conversion | base_conversion:repeated-division | n=255,base=4 | DIV:255/4=63,r:3 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3333 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 4, 9, 7 | [2,5,4,9,7] ; [2,4,5,9,7] ; [2,4,5,9,7] ; [2,4,5,7,9] |
list_summation | list_summation:left-to-right | 8, 4, 4, 2 | 8+4=12 ; 12+4=16 ; 16+2=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=-6 | 6x+30=-6 ; x=(-6-30)/6 ; x=-36/6 ; x=-6 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 0, 7, 3 | [0,7,8,9,3] ; [0,3,7,8,9] |
base_conversion | base_conversion:decomposition | n=184,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:2320 |
list_summation | list_summation:right-to-left | 3, 6, 4, 9 | 4+9=13 ; 6+13=19 ; 3+19=22 |
base_conversion | base_conversion:decomposition | n=33,base=8 | TERM:4*8^1=32 ; TERM:1*8^0=1 ; OUT:41 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+28=8 | 4x+28=8 ; x+7=2 ; x=2-7 ; x=-5 |
list_summation | list_summation:pairwise | 4, 3, 0, 0 | 4+3=7 ; 0+0=0 ; 7+0=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 373+742 | round:380+742=1122 ; adjust:1122-7=1115 ; sum=1115 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 3, 8, 7 | [4,3,6,8,7] ; [4,3,6,7,8] ; [3,4,6,7,8] |
base_conversion | base_conversion:repeated-division | n=28,base=8 | DIV:28/8=3,r:4 ; DIV:3/8=0,r:3 ; OUT:34 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; D:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-3=-6 | 3x-3=-6 ; x+-1=-2 ; x=-2--1 ; x=-1 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 3, 2, 6, 5 | [3,8,2,6,5] ; [2,3,6,8,5] ; [2,3,5,6,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 4, 6, 7 | [3,4,8,6,7] ; [3,4,6,8,7] ; [3,4,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 635+424 | d2:5+4+0=9→w9,c0 ; d1:3+2+0=5→w5,c0 ; d0:6+4+0=10→w0,c1 ; sum=1059 |
list_summation | list_summation:pairwise | 8, 8, 8, 0 | 8+8=16 ; 8+0=8 ; 16+8=24 |
base_conversion | base_conversion:via-binary | n=176,base=16 | BINLEN:8 ; CHUNK:0:11 ; CHUNK:1:0 ; OUT:B0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 863+268 | p100:800+200=1000 ; p10:60+60=120 ; p1:3+8=11 ; sum=1000+120+11=1131 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=-20 | 5x+0=-20 ; x=(-20-0)/5 ; x=-20/5 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=0 | 7x+28=0 ; 7x=-28 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-10=-20 | 5x-10=-20 ; 5x=-10 ; x=-2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 6, 8, 0 | [1,2,6,8,0] ; [1,2,6,0,8] ; [1,2,0,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
list_summation | list_summation:left-to-right | 2, 2, 9, 3 | 2+2=4 ; 4+9=13 ; 13+3=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 2, 6, 3, 5 | [0,2,6,3,5] ; [0,2,6,3,5] ; [0,2,3,6,5] ; [0,2,3,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 499+709 | d2:9+9+0=18→w8,c1 ; d1:9+0+1=10→w0,c1 ; d0:4+7+1=12→w2,c1 ; sum=1208 |
list_summation | list_summation:right-to-left | 7, 6, 3, 6 | 3+6=9 ; 6+9=15 ; 7+15=22 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 4, 1, 9, 7 | [2,9,1,4,7] ; [9,2,1,4,7] ; [9,7,1,4,2] ; [2,7,1,4,9] ; [7,2,1,4,9] ; [7,4,1,2,9] ; [2,4,1,7,9] ; [4,2,1,7,9] ; [1,2,4,7,9] ; [2,1,4,7,9] ; [1,2,4,7,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 1, 4, 8 | [1,2,3,4,8] ; [1,2,3,4,8] ; [1,2,3,4,8] ; [1,2,3,4,8] |
base_conversion | base_conversion:decomposition | n=121,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:1321 |
base_conversion | base_conversion:decomposition | n=153,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:231 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 2, 8, 1 | [0,8,2,5,1] ; [8,0,2,5,1] ; [8,5,2,0,1] ; [1,5,2,0,8] ; [5,1,2,0,8] ; [0,1,2,5,8] ; [2,1,0,5,8] ; [0,1,2,5,8] ; [1,0,2,5,8] ; [0,1,2,5,8] |
base_conversion | base_conversion:repeated-division | n=247,base=8 | DIV:247/8=30,r:7 ; DIV:30/8=3,r:6 ; DIV:3/8=0,r:3 ; OUT:367 |
base_conversion | base_conversion:decomposition | n=238,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; 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:11101110 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+45=-9 | 9x+45=-9 ; x+5=-1 ; x=-1-5 ; x=-6 |
list_summation | list_summation:right-to-left | 7, 5, 8, 8 | 8+8=16 ; 5+16=21 ; 7+21=28 |
base_conversion | base_conversion:repeated-division | n=115,base=4 | DIV:115/4=28,r:3 ; DIV:28/4=7,r:0 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1303 |
multidigit_addition | multidigit_addition:rounding-decomposition | 366+478 | round:370+478=848 ; adjust:848-4=844 ; sum=844 |
list_summation | list_summation:right-to-left | 5, 6, 7, 1 | 7+1=8 ; 6+8=14 ; 5+14=19 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 8, 4, 1 | [1,7,8,4,3] ; [1,3,8,4,7] ; [1,3,4,8,7] ; [1,3,4,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 103+742 | d2:3+2+0=5→w5,c0 ; d1:0+4+0=4→w4,c0 ; d0:1+7+0=8→w8,c0 ; sum=845 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=30 | 6x+18=30 ; 6x=12 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-27=-33 | 3x-27=-33 ; x=(-33--27)/3 ; x=-6/3 ; x=-2 |
base_conversion | base_conversion:decomposition | n=159,base=16 | TERM:9*16^1=144 ; TERM:15*16^0=15 ; OUT:9F |
list_summation | list_summation:pairwise | 6, 3, 7, 8 | 6+3=9 ; 7+8=15 ; 9+15=24 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=-90 | 9x-9=-90 ; 9x=-81 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 705+205 | round:710+205=915 ; adjust:915-5=910 ; sum=910 |
base_conversion | base_conversion:repeated-division | n=103,base=2 | DIV:103/2=51,r:1 ; 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:1100111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=18 | 3x+24=18 ; x=(18-24)/3 ; x=-6/3 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 782+466 | round:790+466=1256 ; adjust:1256-8=1248 ; sum=1248 |
multidigit_addition | multidigit_addition:rounding-decomposition | 987+882 | round:990+882=1872 ; adjust:1872-3=1869 ; sum=1869 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+4=24 | 4x+4=24 ; 4x=20 ; x=5 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+0=-16 | 2x+0=-16 ; 2x=-16 ; x=-8 |
list_summation | list_summation:left-to-right | 8, 8, 5, 2 | 8+8=16 ; 16+5=21 ; 21+2=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 294+959 | p100:200+900=1100 ; p10:90+50=140 ; p1:4+9=13 ; sum=1100+140+13=1253 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(2,5) | R:(1,4) ; D:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 0, 4, 2 | [7,4,0,1,2] ; [2,4,0,1,7] ; [4,2,0,1,7] ; [1,2,0,4,7] ; [2,1,0,4,7] ; [0,1,2,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 948+783 | d2:8+3+0=11→w1,c1 ; d1:4+8+1=13→w3,c1 ; d0:9+7+1=17→w7,c1 ; sum=1731 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-14=-77 | 7x-14=-77 ; 7x=-63 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=48,base=16 | DIV:48/16=3,r:0 ; DIV:3/16=0,r:3 ; OUT:30 |
list_summation | list_summation:left-to-right | 1, 0, 9, 7 | 1+0=1 ; 1+9=10 ; 10+7=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 1, 4, 2 | [8,5,1,4,2] ; [2,5,1,4,8] ; [5,2,1,4,8] ; [5,4,1,2,8] ; [2,4,1,5,8] ; [4,2,1,5,8] ; [1,2,4,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 7, 6, 1, 8 | [3,8,6,1,7] ; [8,3,6,1,7] ; [8,7,6,1,3] ; [3,7,6,1,8] ; [7,3,6,1,8] ; [1,3,6,7,8] ; [6,3,1,7,8] ; [1,3,6,7,8] ; [3,1,6,7,8] ; [1,3,6,7,8] |
base_conversion | base_conversion:via-binary | n=235,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11101011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=49 | 7x+35=49 ; x=(49-35)/7 ; x=14/7 ; x=2 |
base_conversion | base_conversion:decomposition | n=38,base=8 | TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:46 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 3, 8, 5 | [0,2,3,8,5] ; [0,2,3,5,8] |
list_summation | list_summation:left-to-right | 7, 3, 4, 3 | 7+3=10 ; 10+4=14 ; 14+3=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 8, 1, 5, 2 | [1,5,6,8,2] ; [1,2,5,6,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 5, 9, 2 | [2,6,5,9,7] ; [2,5,6,9,7] ; [2,5,6,9,7] ; [2,5,6,7,9] |
base_conversion | base_conversion:repeated-division | n=11,base=8 | DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:13 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=12 | 3x+27=12 ; x+9=4 ; x=4-9 ; x=-5 |
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