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 | 9x+54=27 | 9x+54=27 ; x=(27-54)/9 ; x=-27/9 ; x=-3 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 6, 7, 4, 5 | [0,6,4,7,5] ; [0,4,6,7,5] ; [0,4,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=24 | 3x+21=24 ; x+7=8 ; x=8-7 ; x=1 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 7, 2, 0 | [0,4,7,2,8] ; [0,2,7,4,8] ; [0,2,4,7,8] ; [0,2,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-12=-60 | 6x-12=-60 ; x+-2=-10 ; x=-10--2 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=18 | 6x-30=18 ; x+-5=3 ; x=3--5 ; x=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 391+418 | round:400+418=818 ; adjust:818-9=809 ; sum=809 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+21=21 | 3x+21=21 ; 3x=0 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 3, 5, 4 | [3,9,6,5,4] ; [3,4,6,5,9] ; [3,4,5,6,9] ; [3,4,5,6,9] |
base_conversion | base_conversion:via-binary | n=116,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1110100 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 1, 7, 6, 8 | [0,1,7,6,8] ; [0,1,7,6,8] ; [0,1,6,7,8] ; [0,1,6,7,8] |
list_summation | list_summation:right-to-left | 2, 5, 1, 5 | 1+5=6 ; 5+6=11 ; 2+11=13 |
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 | 8x-24=-8 | 8x-24=-8 ; x+-3=-1 ; x=-1--3 ; x=2 |
base_conversion | base_conversion:repeated-division | n=142,base=8 | DIV:142/8=17,r:6 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:216 |
multidigit_addition | multidigit_addition:rounding-decomposition | 368+965 | round:370+965=1335 ; adjust:1335-2=1333 ; sum=1333 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=15 | 5x+35=15 ; x=(15-35)/5 ; x=-20/5 ; x=-4 |
list_summation | list_summation:left-to-right | 2, 4, 4, 7 | 2+4=6 ; 6+4=10 ; 10+7=17 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-25=-60 | 5x-25=-60 ; 5x=-35 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=90 | 6x+42=90 ; x=(90-42)/6 ; x=48/6 ; x=8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-27=-36 | 9x-27=-36 ; x+-3=-4 ; x=-4--3 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-8=16 | 8x-8=16 ; 8x=24 ; x=3 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 0, 4, 7 | [0,2,3,4,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(3,5) | D:(2,4) ; D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=56,base=8 | DIV:56/8=7,r:0 ; DIV:7/8=0,r:7 ; OUT:70 |
list_summation | list_summation:right-to-left | 9, 2, 2, 1 | 2+1=3 ; 2+3=5 ; 9+5=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=28 | 4x+8=28 ; x+2=7 ; x=7-2 ; x=5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+54=6 | 6x+54=6 ; 6x=-48 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-96 | 6x-54=-96 ; 6x=-42 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 9, 2, 0 | [1,8,9,2,0] ; [1,8,2,9,0] ; [1,8,2,0,9] ; [1,2,8,0,9] ; [1,2,0,8,9] ; [1,0,2,8,9] ; [0,1,2,8,9] |
base_conversion | base_conversion:via-binary | n=26,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:2 ; OUT:122 |
multidigit_addition | multidigit_addition:left-to-right-partials | 713+434 | p100:700+400=1100 ; p10:10+30=40 ; p1:3+4=7 ; sum=1100+40+7=1147 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-54=-72 | 9x-54=-72 ; x=(-72--54)/9 ; x=-18/9 ; x=-2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:left-to-right | 1, 1, 8, 7 | 1+1=2 ; 2+8=10 ; 10+7=17 |
base_conversion | base_conversion:via-binary | n=233,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11101001 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+32=32 | 8x+32=32 ; 8x=0 ; x=0 |
list_summation | list_summation:left-to-right | 4, 4, 1, 4 | 4+4=8 ; 8+1=9 ; 9+4=13 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 6, 1, 8, 5 | [1,3,6,8,5] ; [1,3,5,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-16 | 8x-56=-16 ; 8x=40 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 902+501 | round:910+501=1411 ; adjust:1411-8=1403 ; sum=1403 |
multidigit_addition | multidigit_addition:rounding-decomposition | 666+703 | round:670+703=1373 ; adjust:1373-4=1369 ; sum=1369 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 3, 7, 1, 9 | [5,9,7,1,3] ; [9,5,7,1,3] ; [3,5,7,1,9] ; [7,5,3,1,9] ; [1,5,3,7,9] ; [5,1,3,7,9] ; [3,1,5,7,9] ; [1,3,5,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+42=54 | 6x+42=54 ; 6x=12 ; x=2 |
list_summation | list_summation:right-to-left | 7, 9, 5, 4 | 5+4=9 ; 9+9=18 ; 7+18=25 |
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) |
base_conversion | base_conversion:repeated-division | n=97,base=8 | DIV:97/8=12,r:1 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:141 |
base_conversion | base_conversion:decomposition | n=127,base=8 | TERM:1*8^2=64 ; TERM:7*8^1=56 ; TERM:7*8^0=7 ; OUT:177 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+0=14 | 7x+0=14 ; x+0=2 ; x=2-0 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-63=-27 | 9x-63=-27 ; x=(-27--63)/9 ; x=36/9 ; x=4 |
list_summation | list_summation:pairwise | 2, 7, 3, 6 | 2+7=9 ; 3+6=9 ; 9+9=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+72=16 | 8x+72=16 ; x+9=2 ; x=2-9 ; x=-7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=72 | 9x+9=72 ; x=(72-9)/9 ; x=63/9 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=32 | 8x+16=32 ; x+2=4 ; x=4-2 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 161+490 | round:170+490=660 ; adjust:660-9=651 ; sum=651 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+15=24 | 3x+15=24 ; x=(24-15)/3 ; x=9/3 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-6=9 | 3x-6=9 ; x=(9--6)/3 ; x=15/3 ; x=5 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 2, 0, 5 | [1,9,0,2,5] ; [0,1,2,9,5] ; [0,1,2,5,9] |
base_conversion | base_conversion:repeated-division | n=131,base=16 | DIV:131/16=8,r:3 ; DIV:8/16=0,r:8 ; OUT:83 |
base_conversion | base_conversion:repeated-division | n=5,base=16 | DIV:5/16=0,r:5 ; OUT:5 |
base_conversion | base_conversion:decomposition | n=83,base=16 | TERM:5*16^1=80 ; TERM:3*16^0=3 ; OUT:53 |
base_conversion | base_conversion:decomposition | n=2,base=16 | TERM:2*16^0=2 ; OUT:2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 5, 8, 3, 7 | [2,5,8,3,7] ; [2,5,8,3,7] ; [2,3,5,8,7] ; [2,3,5,7,8] |
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:subtract-then-divide | 3x+15=3 | 3x+15=3 ; 3x=-12 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=70 | 5x+25=70 ; 5x=45 ; x=9 |
list_summation | list_summation:pairwise | 4, 8, 1, 4 | 4+8=12 ; 1+4=5 ; 12+5=17 |
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) |
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 | 544+726 | round:550+726=1276 ; adjust:1276-6=1270 ; sum=1270 |
multidigit_addition | multidigit_addition:rounding-decomposition | 148+982 | round:150+982=1132 ; adjust:1132-2=1130 ; sum=1130 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 1, 0, 7 | [0,3,1,8,7] ; [0,1,3,8,7] ; [0,1,3,8,7] ; [0,1,3,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 7, 5, 1 | [6,5,7,3,1] ; [7,5,6,3,1] ; [1,5,6,3,7] ; [6,5,1,3,7] ; [3,5,1,6,7] ; [5,3,1,6,7] ; [1,3,5,6,7] ; [3,1,5,6,7] ; [1,3,5,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,5) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=66,base=8 | DIV:66/8=8,r:2 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:102 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 3, 4, 7, 2 | [8,7,4,3,2] ; [2,7,4,3,8] ; [7,2,4,3,8] ; [7,3,4,2,8] ; [2,3,4,7,8] ; [4,3,2,7,8] ; [2,3,4,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8] |
base_conversion | base_conversion:decomposition | n=23,base=8 | TERM:2*8^1=16 ; TERM:7*8^0=7 ; OUT:27 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+40=24 | 8x+40=24 ; 8x=-16 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 2, 7, 5, 0 | [2,8,7,5,0] ; [2,7,8,5,0] ; [2,5,7,8,0] ; [0,2,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-8=-10 | 2x-8=-10 ; 2x=-2 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 880+939 | d2:0+9+0=9→w9,c0 ; d1:8+3+0=11→w1,c1 ; d0:8+9+1=18→w8,c1 ; sum=1819 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 610+699 | round:610+699=1309 ; adjust:1309-0=1309 ; sum=1309 |
base_conversion | base_conversion:decomposition | n=33,base=8 | TERM:4*8^1=32 ; TERM:1*8^0=1 ; OUT:41 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+24=24 | 6x+24=24 ; x+4=4 ; x=4-4 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=4 | 4x-16=4 ; x=(4--16)/4 ; x=20/4 ; x=5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-4=-6 | 2x-4=-6 ; 2x=-2 ; x=-1 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 9, 8, 0, 6 | [0,9,8,1,6] ; [0,1,8,9,6] ; [0,1,6,9,8] ; [0,1,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+63=81 | 9x+63=81 ; x=(81-63)/9 ; x=18/9 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,3) | R:(2,2) ; R:(2,3) ; D:(3,3) |
list_summation | list_summation:left-to-right | 7, 4, 9, 1 | 7+4=11 ; 11+9=20 ; 20+1=21 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 2, 3, 9 | [5,7,2,3,9] ; [2,5,7,3,9] ; [2,3,5,7,9] ; [2,3,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+4=22 | 2x+4=22 ; x=(22-4)/2 ; x=18/2 ; x=9 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 1, 2, 6, 3 | [1,9,2,6,3] ; [1,2,9,6,3] ; [1,2,3,6,9] ; [1,2,3,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
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