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=139,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:11 ; OUT:8B |
base_conversion | base_conversion:via-binary | n=23,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:7 ; OUT:17 |
list_summation | list_summation:pairwise | 3, 9, 1, 8 | 3+9=12 ; 1+8=9 ; 12+9=21 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 6, 2, 4, 9 | [2,4,5,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+63=45 | 9x+63=45 ; x+7=5 ; x=5-7 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-24 | 3x-15=-24 ; 3x=-9 ; x=-3 |
list_summation | list_summation:left-to-right | 2, 1, 2, 6 | 2+1=3 ; 3+2=5 ; 5+6=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
list_summation | list_summation:right-to-left | 8, 2, 5, 1 | 5+1=6 ; 2+6=8 ; 8+8=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=0 | 8x-48=0 ; x+-6=0 ; x=0--6 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,5) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 866+503 | d2:6+3+0=9→w9,c0 ; d1:6+0+0=6→w6,c0 ; d0:8+5+0=13→w3,c1 ; sum=1369 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 4, 7, 0 | [2,3,4,7,0] ; [0,2,3,4,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 514+379 | round:520+379=899 ; adjust:899-6=893 ; sum=893 |
base_conversion | base_conversion:via-binary | n=88,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1011000 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+56=14 | 7x+56=14 ; x+8=2 ; x=2-8 ; x=-6 |
base_conversion | base_conversion:via-binary | n=49,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:301 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 4, 7, 5, 3 | [1,4,5,7,3] ; [1,4,5,3,7] ; [1,4,3,5,7] ; [1,3,4,5,7] |
base_conversion | base_conversion:decomposition | n=208,base=16 | TERM:13*16^1=208 ; TERM:0*16^0=0 ; OUT:D0 |
list_summation | list_summation:right-to-left | 1, 8, 3, 0 | 3+0=3 ; 8+3=11 ; 1+11=12 |
base_conversion | base_conversion:repeated-division | n=243,base=2 | DIV:243/2=121,r:1 ; DIV:121/2=60,r:1 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11110011 |
list_summation | list_summation:left-to-right | 8, 6, 6, 7 | 8+6=14 ; 14+6=20 ; 20+7=27 |
multidigit_addition | multidigit_addition:rounding-decomposition | 932+214 | round:940+214=1154 ; adjust:1154-8=1146 ; sum=1146 |
base_conversion | base_conversion:repeated-division | n=221,base=2 | DIV:221/2=110,r:1 ; DIV:110/2=55,r:0 ; DIV:55/2=27,r:1 ; DIV:27/2=13,r:1 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11011101 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 8, 1, 4, 2 | [2,8,1,4,9] ; [8,2,1,4,9] ; [8,4,1,2,9] ; [2,4,1,8,9] ; [4,2,1,8,9] ; [1,2,4,8,9] ; [2,1,4,8,9] ; [1,2,4,8,9] |
base_conversion | base_conversion:decomposition | n=98,base=16 | TERM:6*16^1=96 ; TERM:2*16^0=2 ; OUT:62 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 405+173 | round:410+173=583 ; adjust:583-5=578 ; sum=578 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 4, 0, 6, 1 | [5,6,0,4,1] ; [6,5,0,4,1] ; [1,5,0,4,6] ; [5,1,0,4,6] ; [5,4,0,1,6] ; [1,4,0,5,6] ; [4,1,0,5,6] ; [0,1,4,5,6] ; [1,0,4,5,6] ; [0,1,4,5,6] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 455+508 | d2:5+8+0=13→w3,c1 ; d1:5+0+1=6→w6,c0 ; d0:4+5+0=9→w9,c0 ; sum=963 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+24=-8 | 8x+24=-8 ; 8x=-32 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(3,3) | R:(1,1) ; R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:right-to-left | 4, 8, 2, 8 | 2+8=10 ; 8+10=18 ; 4+18=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+12=-15 | 3x+12=-15 ; 3x=-27 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=5 | 5x+20=5 ; x+4=1 ; x=1-4 ; x=-3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 5, 2, 9 | [3,5,6,2,9] ; [3,5,2,6,9] ; [3,2,5,6,9] ; [2,3,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-3=-24 | 3x-3=-24 ; x=(-24--3)/3 ; x=-21/3 ; x=-7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 4, 6, 2 | [1,4,7,6,2] ; [1,4,6,7,2] ; [1,4,6,2,7] ; [1,4,2,6,7] ; [1,2,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 2, 1, 4 | [1,5,2,6,4] ; [1,2,5,6,4] ; [1,2,4,6,5] ; [1,2,4,5,6] |
list_summation | list_summation:right-to-left | 5, 2, 9, 0 | 9+0=9 ; 2+9=11 ; 5+11=16 |
multidigit_addition | multidigit_addition:right-to-left-carry | 974+230 | d2:4+0+0=4→w4,c0 ; d1:7+3+0=10→w0,c1 ; d0:9+2+1=12→w2,c1 ; sum=1204 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) |
list_summation | list_summation:left-to-right | 6, 7, 0, 9 | 6+7=13 ; 13+0=13 ; 13+9=22 |
list_summation | list_summation:left-to-right | 0, 3, 6, 6 | 0+3=3 ; 3+6=9 ; 9+6=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=0 | 9x+81=0 ; 9x=-81 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 358+649 | round:360+649=1009 ; adjust:1009-2=1007 ; sum=1007 |
list_summation | list_summation:pairwise | 2, 6, 5, 0 | 2+6=8 ; 5+0=5 ; 8+5=13 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,2) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
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) |
list_summation | list_summation:left-to-right | 5, 0, 7, 5 | 5+0=5 ; 5+7=12 ; 12+5=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=-72 | 8x-64=-72 ; x=(-72--64)/8 ; x=-8/8 ; x=-1 |
base_conversion | base_conversion:decomposition | n=140,base=16 | TERM:8*16^1=128 ; TERM:12*16^0=12 ; OUT:8C |
multidigit_addition | multidigit_addition:rounding-decomposition | 277+946 | round:280+946=1226 ; adjust:1226-3=1223 ; sum=1223 |
base_conversion | base_conversion:repeated-division | n=140,base=4 | DIV:140/4=35,r:0 ; DIV:35/4=8,r:3 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2030 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 0, 9, 3, 4 | [0,5,9,3,4] ; [0,5,3,9,4] ; [0,5,3,4,9] ; [0,3,5,4,9] ; [0,3,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=-32 | 8x+8=-32 ; x+1=-4 ; x=-4-1 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 831+216 | d2:1+6+0=7→w7,c0 ; d1:3+1+0=4→w4,c0 ; d0:8+2+0=10→w0,c1 ; sum=1047 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 5, 9, 8, 4 | [5,7,9,8,4] ; [5,7,8,9,4] ; [4,5,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 2, 7, 6 | [1,4,2,7,6] ; [1,2,4,7,6] ; [1,2,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
base_conversion | base_conversion:repeated-division | n=94,base=4 | DIV:94/4=23,r:2 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1132 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 1, 4, 9, 8 | [1,6,4,9,8] ; [1,4,6,9,8] ; [1,4,6,9,8] ; [1,4,6,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 8, 0, 3 | [2,9,8,0,3] ; [2,9,0,8,3] ; [0,2,8,9,3] ; [0,2,3,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 8, 2, 9, 5 | [0,8,2,9,5] ; [0,2,8,9,5] ; [0,2,5,9,8] ; [0,2,5,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 187+288 | d2:7+8+0=15→w5,c1 ; d1:8+8+1=17→w7,c1 ; d0:1+2+1=4→w4,c0 ; sum=475 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 1, 5, 0, 6 | [9,6,5,0,1] ; [1,6,5,0,9] ; [6,1,5,0,9] ; [0,1,5,6,9] ; [5,1,0,6,9] ; [0,1,5,6,9] ; [1,0,5,6,9] ; [0,1,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 187+451 | round:190+451=641 ; adjust:641-3=638 ; sum=638 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 2, 9, 8, 9 | 2+9=11 ; 8+9=17 ; 11+17=28 |
list_summation | list_summation:pairwise | 7, 7, 2, 5 | 7+7=14 ; 2+5=7 ; 14+7=21 |
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=(1,0) ; G=(4,4) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 1, 9, 0, 6 | [1,4,9,0,6] ; [1,4,9,0,6] ; [0,1,4,9,6] ; [0,1,4,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 6, 3, 0, 7 | [0,6,3,2,7] ; [0,2,3,6,7] ; [0,2,3,6,7] ; [0,2,3,6,7] |
base_conversion | base_conversion:decomposition | n=132,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:4*8^0=4 ; OUT:204 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+15=50 | 5x+15=50 ; 5x=35 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 275+595 | d2:5+5+0=10→w0,c1 ; d1:7+9+1=17→w7,c1 ; d0:2+5+1=8→w8,c0 ; sum=870 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=12 | 2x+16=12 ; 2x=-4 ; x=-2 |
list_summation | list_summation:pairwise | 0, 0, 3, 0 | 0+0=0 ; 3+0=3 ; 0+3=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=72 | 9x+81=72 ; 9x=-9 ; x=-1 |
base_conversion | base_conversion:via-binary | n=227,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:3 ; OUT:343 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=54 | 6x+30=54 ; x=(54-30)/6 ; x=24/6 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; D:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 133+318 | round:140+318=458 ; adjust:458-7=451 ; sum=451 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-8=4 | 4x-8=4 ; x+-2=1 ; x=1--2 ; x=3 |
base_conversion | base_conversion:repeated-division | n=25,base=4 | DIV:25/4=6,r:1 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:121 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 4, 8, 5 | [7,9,4,8,5] ; [4,7,9,8,5] ; [4,7,8,9,5] ; [4,5,7,8,9] |
list_summation | list_summation:right-to-left | 1, 7, 0, 3 | 0+3=3 ; 7+3=10 ; 1+10=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
list_summation | list_summation:pairwise | 7, 5, 6, 5 | 7+5=12 ; 6+5=11 ; 12+11=23 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 3, 2, 1, 5 | [3,8,2,1,5] ; [3,8,1,2,5] ; [1,2,3,8,5] ; [1,2,3,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-45 | 3x-24=-45 ; x+-8=-15 ; x=-15--8 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-60 | 6x-54=-60 ; 6x=-6 ; x=-1 |
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