task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 240+490 | d2:0+0+0=0→w0,c0 ; d1:4+9+0=13→w3,c1 ; d0:2+4+1=7→w7,c0 ; sum=730 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 107+696 | d2:7+6+0=13→w3,c1 ; d1:0+9+1=10→w0,c1 ; d0:1+6+1=8→w8,c0 ; sum=803 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-70 | 7x-42=-70 ; 7x=-28 ; x=-4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 6, 4, 2, 7 | [6,9,4,2,7] ; [4,6,9,2,7] ; [2,4,6,9,7] ; [2,4,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 520+993 | round:520+993=1513 ; adjust:1513-0=1513 ; sum=1513 |
multidigit_addition | multidigit_addition:right-to-left-carry | 159+262 | d2:9+2+0=11→w1,c1 ; d1:5+6+1=12→w2,c1 ; d0:1+2+1=4→w4,c0 ; sum=421 |
list_summation | list_summation:right-to-left | 5, 1, 0, 6 | 0+6=6 ; 1+6=7 ; 5+7=12 |
list_summation | list_summation:pairwise | 9, 3, 8, 9 | 9+3=12 ; 8+9=17 ; 12+17=29 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=-96 | 6x-42=-96 ; x+-7=-16 ; x=-16--7 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=-90 | 9x-18=-90 ; x+-2=-10 ; x=-10--2 ; x=-8 |
list_summation | list_summation:left-to-right | 0, 6, 6, 5 | 0+6=6 ; 6+6=12 ; 12+5=17 |
base_conversion | base_conversion:decomposition | n=58,base=4 | TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:322 |
list_summation | list_summation:pairwise | 8, 6, 2, 1 | 8+6=14 ; 2+1=3 ; 14+3=17 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 4, 9, 1, 8 | [2,4,1,9,8] ; [2,4,1,8,9] ; [2,1,4,8,9] ; [1,2,4,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(1,5) | D:(1,3) ; R:(1,4) ; R:(1,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 775+237 | p100:700+200=900 ; p10:70+30=100 ; p1:5+7=12 ; sum=900+100+12=1012 |
list_summation | list_summation:right-to-left | 4, 9, 6, 9 | 6+9=15 ; 9+15=24 ; 4+24=28 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-16=4 | 4x-16=4 ; 4x=20 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 595+615 | p100:500+600=1100 ; p10:90+10=100 ; p1:5+5=10 ; sum=1100+100+10=1210 |
list_summation | list_summation:right-to-left | 9, 4, 5, 1 | 5+1=6 ; 4+6=10 ; 9+10=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,4) | R:(0,4) ; D:(1,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=40 | 4x+20=40 ; 4x=20 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 874+799 | p100:800+700=1500 ; p10:70+90=160 ; p1:4+9=13 ; sum=1500+160+13=1673 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=32 | 8x+56=32 ; x+7=4 ; x=4-7 ; x=-3 |
list_summation | list_summation:right-to-left | 1, 6, 0, 9 | 0+9=9 ; 6+9=15 ; 1+15=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 5, 4, 3 | [2,7,5,4,3] ; [2,5,7,4,3] ; [2,4,5,7,3] ; [2,3,4,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 959+906 | p100:900+900=1800 ; p10:50+0=50 ; p1:9+6=15 ; sum=1800+50+15=1865 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=65 | 5x+25=65 ; 5x=40 ; x=8 |
base_conversion | base_conversion:repeated-division | n=103,base=16 | DIV:103/16=6,r:7 ; DIV:6/16=0,r:6 ; OUT:67 |
multidigit_addition | multidigit_addition:rounding-decomposition | 534+713 | round:540+713=1253 ; adjust:1253-6=1247 ; sum=1247 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
list_summation | list_summation:left-to-right | 2, 3, 2, 4 | 2+3=5 ; 5+2=7 ; 7+4=11 |
base_conversion | base_conversion:via-binary | n=184,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2320 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 5, 7, 1, 9 | [8,9,7,1,5] ; [9,8,7,1,5] ; [5,8,7,1,9] ; [8,5,7,1,9] ; [1,5,7,8,9] ; [7,5,1,8,9] ; [1,5,7,8,9] ; [5,1,7,8,9] ; [1,5,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 6, 0, 1 | [5,7,0,6,1] ; [0,5,6,7,1] ; [0,1,5,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-28=-36 | 4x-28=-36 ; x=(-36--28)/4 ; x=-8/4 ; x=-2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 392+352 | round:400+352=752 ; adjust:752-8=744 ; sum=744 |
list_summation | list_summation:pairwise | 9, 7, 0, 4 | 9+7=16 ; 0+4=4 ; 16+4=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 7, 1, 8 | [1,5,7,2,8] ; [1,2,7,5,8] ; [1,2,5,7,8] ; [1,2,5,7,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 2, 8, 6 | [5,7,2,8,6] ; [2,5,7,8,6] ; [2,5,7,8,6] ; [2,5,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 9, 1, 0 | [0,8,9,1,5] ; [0,1,9,8,5] ; [0,1,5,8,9] ; [0,1,5,8,9] |
base_conversion | base_conversion:decomposition | n=143,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:2033 |
multidigit_addition | multidigit_addition:rounding-decomposition | 866+508 | round:870+508=1378 ; adjust:1378-4=1374 ; sum=1374 |
base_conversion | base_conversion:via-binary | n=114,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1110010 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,4) | D:(3,3) ; D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 5, 3, 0 | [0,4,5,3,1] ; [0,1,5,3,4] ; [0,1,3,5,4] ; [0,1,3,4,5] |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 9, 4, 2 | [5,6,9,4,2] ; [5,6,9,4,2] ; [4,5,6,9,2] ; [2,4,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 428+801 | d2:8+1+0=9→w9,c0 ; d1:2+0+0=2→w2,c0 ; d0:4+8+0=12→w2,c1 ; sum=1229 |
list_summation | list_summation:pairwise | 0, 8, 1, 8 | 0+8=8 ; 1+8=9 ; 8+9=17 |
base_conversion | base_conversion:via-binary | n=213,base=16 | BINLEN:8 ; CHUNK:0:13 ; CHUNK:1:5 ; OUT:D5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,4) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-21=-21 | 3x-21=-21 ; 3x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+0=-81 | 9x+0=-81 ; 9x=-81 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=86,base=2 | DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010110 |
list_summation | list_summation:pairwise | 0, 3, 9, 7 | 0+3=3 ; 9+7=16 ; 3+16=19 |
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:subtract-then-divide | 6x+36=-12 | 6x+36=-12 ; 6x=-48 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 4, 1, 0 | [4,2,3,1,0] ; [0,2,3,1,4] ; [3,2,0,1,4] ; [1,2,0,3,4] ; [2,1,0,3,4] ; [0,1,2,3,4] ; [1,0,2,3,4] ; [0,1,2,3,4] |
base_conversion | base_conversion:repeated-division | n=110,base=2 | 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:1101110 |
multidigit_addition | multidigit_addition:rounding-decomposition | 372+105 | round:380+105=485 ; adjust:485-8=477 ; sum=477 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 4, 1, 2, 9 | [6,9,1,2,4] ; [9,6,1,2,4] ; [4,6,1,2,9] ; [6,4,1,2,9] ; [2,4,1,6,9] ; [4,2,1,6,9] ; [1,2,4,6,9] ; [2,1,4,6,9] ; [1,2,4,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=-4 | 2x+12=-4 ; 2x=-16 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 480+995 | p100:400+900=1300 ; p10:80+90=170 ; p1:0+5=5 ; sum=1300+170+5=1475 |
multidigit_addition | multidigit_addition:rounding-decomposition | 250+591 | round:250+591=841 ; adjust:841-0=841 ; sum=841 |
list_summation | list_summation:pairwise | 3, 4, 7, 1 | 3+4=7 ; 7+1=8 ; 7+8=15 |
base_conversion | base_conversion:repeated-division | n=145,base=8 | DIV:145/8=18,r:1 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:221 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 9, 8, 0, 0 | 9+8=17 ; 0+0=0 ; 17+0=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-16=-16 | 2x-16=-16 ; x=(-16--16)/2 ; x=0/2 ; x=0 |
list_summation | list_summation:pairwise | 5, 3, 1, 0 | 5+3=8 ; 1+0=1 ; 8+1=9 |
list_summation | list_summation:right-to-left | 1, 1, 8, 8 | 8+8=16 ; 1+16=17 ; 1+17=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 4, 5, 8, 3 | [0,3,4,5,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 5, 8, 9 | [4,7,5,8,9] ; [4,5,7,8,9] ; [4,5,7,8,9] ; [4,5,7,8,9] |
list_summation | list_summation:right-to-left | 8, 6, 8, 2 | 8+2=10 ; 6+10=16 ; 8+16=24 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 4, 8, 7 | [1,5,4,8,7] ; [1,4,5,8,7] ; [1,4,5,8,7] ; [1,4,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 8, 1, 2, 3 | [1,2,5,8,3] ; [1,2,3,5,8] |
base_conversion | base_conversion:repeated-division | n=33,base=4 | DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:201 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 978+839 | d2:8+9+0=17→w7,c1 ; d1:7+3+1=11→w1,c1 ; d0:9+8+1=18→w8,c1 ; sum=1817 |
base_conversion | base_conversion:via-binary | n=194,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:3002 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=-81 | 9x-27=-81 ; x=(-81--27)/9 ; x=-54/9 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 311+543 | d2:1+3+0=4→w4,c0 ; d1:1+4+0=5→w5,c0 ; d0:3+5+0=8→w8,c0 ; sum=854 |
base_conversion | base_conversion:repeated-division | n=29,base=8 | DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:35 |
list_summation | list_summation:pairwise | 2, 6, 1, 2 | 2+6=8 ; 1+2=3 ; 8+3=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+12=0 | 4x+12=0 ; 4x=-12 ; x=-3 |
base_conversion | base_conversion:decomposition | n=226,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:2*8^0=2 ; OUT:342 |
list_summation | list_summation:left-to-right | 0, 9, 8, 1 | 0+9=9 ; 9+8=17 ; 17+1=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 3, 5, 0 | [3,5,8,9,0] ; [0,3,5,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 411+864 | d2:1+4+0=5→w5,c0 ; d1:1+6+0=7→w7,c0 ; d0:4+8+0=12→w2,c1 ; sum=1275 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+20=-16 | 4x+20=-16 ; x+5=-4 ; x=-4-5 ; x=-9 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 3, 9, 1, 6 | [0,6,9,1,3] ; [9,6,0,1,3] ; [3,6,0,1,9] ; [6,3,0,1,9] ; [1,3,0,6,9] ; [3,1,0,6,9] ; [0,1,3,6,9] ; [1,0,3,6,9] ; [0,1,3,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 0, 6, 4 | [8,2,0,6,4] ; [8,6,0,2,4] ; [4,6,0,2,8] ; [6,4,0,2,8] ; [2,4,0,6,8] ; [4,2,0,6,8] ; [0,2,4,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
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