task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:merge-sort | 9, 5, 7, 3, 6 | [5,9,7,3,6] ; [5,9,3,7,6] ; [3,5,7,9,6] ; [3,5,6,7,9] |
base_conversion | base_conversion:decomposition | n=102,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:146 |
base_conversion | base_conversion:via-binary | n=39,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:3 ; OUT:213 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=-14 | 2x-6=-14 ; x+-3=-7 ; x=-7--3 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+63=36 | 9x+63=36 ; x=(36-63)/9 ; x=-27/9 ; x=-3 |
list_summation | list_summation:pairwise | 6, 0, 7, 6 | 6+0=6 ; 7+6=13 ; 6+13=19 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 6, 5, 1, 8 | [2,8,5,1,6] ; [8,2,5,1,6] ; [8,6,5,1,2] ; [2,6,5,1,8] ; [6,2,5,1,8] ; [1,2,5,6,8] ; [5,2,1,6,8] ; [1,2,5,6,8] ; [2,1,5,6,8] ; [1,2,5,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 845+425 | round:850+425=1275 ; adjust:1275-5=1270 ; sum=1270 |
base_conversion | base_conversion:decomposition | n=84,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:4*8^0=4 ; OUT:124 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=44 | 4x+28=44 ; x=(44-28)/4 ; x=16/4 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 905+389 | p100:900+300=1200 ; p10:0+80=80 ; p1:5+9=14 ; sum=1200+80+14=1294 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 2, 4, 5 | [7,8,2,4,5] ; [2,7,8,4,5] ; [2,4,7,8,5] ; [2,4,5,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 985+744 | d2:5+4+0=9→w9,c0 ; d1:8+4+0=12→w2,c1 ; d0:9+7+1=17→w7,c1 ; sum=1729 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:repeated-division | n=154,base=4 | DIV:154/4=38,r:2 ; DIV:38/4=9,r:2 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2122 |
multidigit_addition | multidigit_addition:right-to-left-carry | 266+125 | d2:6+5+0=11→w1,c1 ; d1:6+2+1=9→w9,c0 ; d0:2+1+0=3→w3,c0 ; sum=391 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+42=72 | 6x+42=72 ; x=(72-42)/6 ; x=30/6 ; x=5 |
list_summation | list_summation:pairwise | 4, 7, 7, 1 | 4+7=11 ; 7+1=8 ; 11+8=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 521+514 | round:530+514=1044 ; adjust:1044-9=1035 ; sum=1035 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-63=-35 | 7x-63=-35 ; x+-9=-5 ; x=-5--9 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-36=18 | 9x-36=18 ; x=(18--36)/9 ; x=54/9 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | 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 | 370+424 | d2:0+4+0=4→w4,c0 ; d1:7+2+0=9→w9,c0 ; d0:3+4+0=7→w7,c0 ; sum=794 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 8, 3, 2, 7 | [1,8,2,3,7] ; [1,2,3,8,7] ; [1,2,3,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-56=-28 | 7x-56=-28 ; x+-8=-4 ; x=-4--8 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 585+594 | round:590+594=1184 ; adjust:1184-5=1179 ; sum=1179 |
multidigit_addition | multidigit_addition:right-to-left-carry | 790+661 | d2:0+1+0=1→w1,c0 ; d1:9+6+0=15→w5,c1 ; d0:7+6+1=14→w4,c1 ; sum=1451 |
list_summation | list_summation:right-to-left | 4, 2, 0, 8 | 0+8=8 ; 2+8=10 ; 4+10=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 434+175 | d2:4+5+0=9→w9,c0 ; d1:3+7+0=10→w0,c1 ; d0:4+1+1=6→w6,c0 ; sum=609 |
base_conversion | base_conversion:repeated-division | n=23,base=4 | DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:113 |
list_summation | list_summation:right-to-left | 7, 2, 2, 4 | 2+4=6 ; 2+6=8 ; 7+8=15 |
list_summation | list_summation:right-to-left | 2, 3, 2, 5 | 2+5=7 ; 3+7=10 ; 2+10=12 |
multidigit_addition | multidigit_addition:rounding-decomposition | 448+327 | round:450+327=777 ; adjust:777-2=775 ; sum=775 |
base_conversion | base_conversion:via-binary | n=16,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:100 |
list_summation | list_summation:left-to-right | 8, 5, 0, 7 | 8+5=13 ; 13+0=13 ; 13+7=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 9, 8, 2, 6 | 2+6=8 ; 8+8=16 ; 9+16=25 |
multidigit_addition | multidigit_addition:right-to-left-carry | 407+397 | d2:7+7+0=14→w4,c1 ; d1:0+9+1=10→w0,c1 ; d0:4+3+1=8→w8,c0 ; sum=804 |
multidigit_addition | multidigit_addition:rounding-decomposition | 992+830 | round:1000+830=1830 ; adjust:1830-8=1822 ; sum=1822 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 6, 1, 4 | [9,7,6,1,4] ; [4,7,6,1,9] ; [7,4,6,1,9] ; [1,4,6,7,9] ; [6,4,1,7,9] ; [1,4,6,7,9] ; [4,1,6,7,9] ; [1,4,6,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 0, 4, 7 | [2,8,0,4,7] ; [0,2,4,8,7] ; [0,2,4,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 313+982 | round:320+982=1302 ; adjust:1302-7=1295 ; sum=1295 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 8, 5, 4 | [0,9,8,5,4] ; [0,8,9,5,4] ; [0,8,5,9,4] ; [0,8,5,4,9] ; [0,5,8,4,9] ; [0,5,4,8,9] ; [0,4,5,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,4) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:left-to-right | 4, 5, 7, 7 | 4+5=9 ; 9+7=16 ; 16+7=23 |
list_summation | list_summation:pairwise | 6, 8, 5, 0 | 6+8=14 ; 5+0=5 ; 14+5=19 |
list_summation | list_summation:left-to-right | 8, 0, 4, 3 | 8+0=8 ; 8+4=12 ; 12+3=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=0 | 7x+21=0 ; x=(0-21)/7 ; x=-21/7 ; x=-3 |
list_summation | list_summation:left-to-right | 2, 0, 2, 6 | 2+0=2 ; 2+2=4 ; 4+6=10 |
list_summation | list_summation:pairwise | 8, 1, 2, 9 | 8+1=9 ; 2+9=11 ; 9+11=20 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 8, 2, 9, 0 | [4,2,8,9,0] ; [4,2,8,0,9] ; [2,4,8,0,9] ; [2,4,0,8,9] ; [2,0,4,8,9] ; [0,2,4,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 714+987 | round:720+987=1707 ; adjust:1707-6=1701 ; sum=1701 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=24 | 8x+24=24 ; x+3=3 ; x=3-3 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=21 | 7x-28=21 ; 7x=49 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(3,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 958+445 | d2:8+5+0=13→w3,c1 ; d1:5+4+1=10→w0,c1 ; d0:9+4+1=14→w4,c1 ; sum=1403 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 4, 9, 5 | [6,9,4,0,5] ; [9,6,4,0,5] ; [5,6,4,0,9] ; [6,5,4,0,9] ; [0,5,4,6,9] ; [5,0,4,6,9] ; [4,0,5,6,9] ; [0,4,5,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=-32 | 8x-8=-32 ; x=(-32--8)/8 ; x=-24/8 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 7, 3, 5, 4 | [1,7,3,5,4] ; [1,3,7,5,4] ; [1,3,4,5,7] ; [1,3,4,5,7] |
list_summation | list_summation:left-to-right | 2, 5, 8, 9 | 2+5=7 ; 7+8=15 ; 15+9=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 0, 6, 7, 9 | [0,5,6,7,9] |
list_summation | list_summation:pairwise | 7, 4, 1, 9 | 7+4=11 ; 1+9=10 ; 11+10=21 |
base_conversion | base_conversion:decomposition | n=49,base=16 | TERM:3*16^1=48 ; TERM:1*16^0=1 ; OUT:31 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 7, 1, 0 | [8,9,1,7,0] ; [1,7,8,9,0] ; [0,1,7,8,9] |
base_conversion | base_conversion:via-binary | n=48,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; OUT:300 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,5) | D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:right-to-left | 5, 6, 0, 9 | 0+9=9 ; 6+9=15 ; 5+15=20 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=-8 | 8x+56=-8 ; x=(-8-56)/8 ; x=-64/8 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 1, 4, 0 | [5,7,1,4,0] ; [1,5,7,4,0] ; [1,4,5,7,0] ; [0,1,4,5,7] |
base_conversion | base_conversion:via-binary | n=150,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10010110 |
list_summation | list_summation:pairwise | 2, 7, 2, 4 | 2+7=9 ; 2+4=6 ; 9+6=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=15 | 5x+0=15 ; 5x=15 ; x=3 |
list_summation | list_summation:left-to-right | 4, 2, 1, 9 | 4+2=6 ; 6+1=7 ; 7+9=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-27 | 9x-72=-27 ; x+-8=-3 ; x=-3--8 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 2, 5, 7 | [6,2,8,5,7] ; [6,2,5,8,7] ; [6,2,5,7,8] ; [2,6,5,7,8] ; [2,5,6,7,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 1, 6, 2, 5 | [4,5,6,2,1] ; [6,5,4,2,1] ; [1,5,4,2,6] ; [5,1,4,2,6] ; [5,2,4,1,6] ; [1,2,4,5,6] ; [4,2,1,5,6] ; [1,2,4,5,6] ; [2,1,4,5,6] ; [1,2,4,5,6] |
base_conversion | base_conversion:decomposition | n=144,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10010000 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-6=12 | 6x-6=12 ; x=(12--6)/6 ; x=18/6 ; x=3 |
list_summation | list_summation:right-to-left | 4, 9, 9, 3 | 9+3=12 ; 9+12=21 ; 4+21=25 |
list_summation | list_summation:right-to-left | 1, 8, 4, 4 | 4+4=8 ; 8+8=16 ; 1+16=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 504+713 | d2:4+3+0=7→w7,c0 ; d1:0+1+0=1→w1,c0 ; d0:5+7+0=12→w2,c1 ; sum=1217 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 8, 4, 6, 0 | [8,9,4,6,0] ; [8,4,9,6,0] ; [8,4,6,9,0] ; [8,4,6,0,9] ; [4,8,6,0,9] ; [4,6,8,0,9] ; [4,6,0,8,9] ; [4,0,6,8,9] ; [0,4,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-18=-2 | 2x-18=-2 ; x=(-2--18)/2 ; x=16/2 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=-40 | 4x-4=-40 ; 4x=-36 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-42 | 6x-36=-42 ; 6x=-6 ; x=-1 |
list_summation | list_summation:pairwise | 1, 8, 7, 4 | 1+8=9 ; 7+4=11 ; 9+11=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; R:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 743+838 | round:750+838=1588 ; adjust:1588-7=1581 ; sum=1581 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 3, 9, 8, 5 | [2,3,9,8,5] ; [2,3,9,8,5] ; [2,3,5,8,9] ; [2,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=23,base=4 | TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:113 |
list_summation | list_summation:right-to-left | 6, 2, 6, 3 | 6+3=9 ; 2+9=11 ; 6+11=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 333+907 | p100:300+900=1200 ; p10:30+0=30 ; p1:3+7=10 ; sum=1200+30+10=1240 |
list_summation | list_summation:pairwise | 1, 9, 4, 8 | 1+9=10 ; 4+8=12 ; 10+12=22 |
list_summation | list_summation:left-to-right | 1, 5, 1, 8 | 1+5=6 ; 6+1=7 ; 7+8=15 |
list_summation | list_summation:right-to-left | 7, 4, 6, 1 | 6+1=7 ; 4+7=11 ; 7+11=18 |
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