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:subtract-then-divide | 6x+24=54 | 6x+24=54 ; 6x=30 ; x=5 |
base_conversion | base_conversion:repeated-division | n=56,base=2 | DIV:56/2=28,r:0 ; DIV:28/2=14,r:0 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-18=-8 | 2x-18=-8 ; 2x=10 ; x=5 |
base_conversion | base_conversion:decomposition | n=31,base=4 | TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:133 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 0, 1, 8 | [0,9,7,1,8] ; [0,1,7,9,8] ; [0,1,7,9,8] ; [0,1,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-16=-20 | 4x-16=-20 ; x+-4=-5 ; x=-5--4 ; x=-1 |
list_summation | list_summation:right-to-left | 4, 9, 1, 8 | 1+8=9 ; 9+9=18 ; 4+18=22 |
list_summation | list_summation:pairwise | 2, 3, 9, 8 | 2+3=5 ; 9+8=17 ; 5+17=22 |
list_summation | list_summation:right-to-left | 4, 4, 0, 2 | 0+2=2 ; 4+2=6 ; 4+6=10 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 5, 8, 9 | [3,5,6,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 1, 4, 5, 2 | 1+4=5 ; 5+5=10 ; 10+2=12 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(2,2) | D:(1,0) ; D:(2,0) ; R:(2,1) ; R:(2,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 449+812 | d2:9+2+0=11→w1,c1 ; d1:4+1+1=6→w6,c0 ; d0:4+8+0=12→w2,c1 ; sum=1261 |
multidigit_addition | multidigit_addition:rounding-decomposition | 921+397 | round:930+397=1327 ; adjust:1327-9=1318 ; sum=1318 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-12=6 | 6x-12=6 ; 6x=18 ; x=3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 286+585 | round:290+585=875 ; adjust:875-4=871 ; sum=871 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
list_summation | list_summation:pairwise | 9, 6, 3, 4 | 9+6=15 ; 3+4=7 ; 15+7=22 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 6, 1, 9 | [7,8,6,1,9] ; [7,8,1,6,9] ; [1,6,7,8,9] |
base_conversion | base_conversion:repeated-division | n=69,base=8 | DIV:69/8=8,r:5 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:105 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 7, 9, 6 | [0,3,7,9,6] ; [0,3,7,9,6] ; [0,3,7,9,6] ; [0,3,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 1, 6, 5 | [1,6,8,9,5] ; [1,5,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 9, 4, 0, 5 | [1,9,4,0,5] ; [1,4,9,0,5] ; [0,1,4,9,5] ; [0,1,4,5,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 313+835 | p100:300+800=1100 ; p10:10+30=40 ; p1:3+5=8 ; sum=1100+40+8=1148 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+64=16 | 8x+64=16 ; x=(16-64)/8 ; x=-48/8 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 6, 4, 3, 2 | [2,6,4,3,5] ; [2,3,4,6,5] ; [2,3,4,6,5] ; [2,3,4,5,6] |
base_conversion | base_conversion:decomposition | n=76,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:114 |
multidigit_addition | multidigit_addition:rounding-decomposition | 589+698 | round:590+698=1288 ; adjust:1288-1=1287 ; sum=1287 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
base_conversion | base_conversion:repeated-division | n=133,base=8 | DIV:133/8=16,r:5 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:205 |
multidigit_addition | multidigit_addition:rounding-decomposition | 458+963 | round:460+963=1423 ; adjust:1423-2=1421 ; sum=1421 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 9, 7, 2, 1 | [3,9,7,2,1] ; [3,7,9,2,1] ; [2,3,7,9,1] ; [1,2,3,7,9] |
list_summation | list_summation:pairwise | 8, 1, 8, 4 | 8+1=9 ; 8+4=12 ; 9+12=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 9, 8, 3 | [0,6,8,9,3] ; [0,6,8,3,9] ; [0,6,3,8,9] ; [0,3,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=16 | 8x+56=16 ; x=(16-56)/8 ; x=-40/8 ; x=-5 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 5, 9, 0 | [3,5,8,9,0] ; [0,3,5,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 1, 7, 5 | [4,6,1,7,5] ; [4,1,6,7,5] ; [4,1,6,5,7] ; [1,4,6,5,7] ; [1,4,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-21=7 | 7x-21=7 ; 7x=28 ; x=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-24=-15 | 3x-24=-15 ; 3x=9 ; x=3 |
base_conversion | base_conversion:via-binary | n=76,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:12 ; OUT:4C |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
list_summation | list_summation:right-to-left | 3, 8, 4, 5 | 4+5=9 ; 8+9=17 ; 3+17=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 5, 3, 9 | [3,4,5,7,9] ; [3,4,5,7,9] ; [3,4,5,7,9] ; [3,4,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 592+825 | d2:2+5+0=7→w7,c0 ; d1:9+2+0=11→w1,c1 ; d0:5+8+1=14→w4,c1 ; sum=1417 |
list_summation | list_summation:pairwise | 2, 0, 4, 8 | 2+0=2 ; 4+8=12 ; 2+12=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 494+222 | round:500+222=722 ; adjust:722-6=716 ; sum=716 |
base_conversion | base_conversion:via-binary | n=154,base=16 | BINLEN:8 ; CHUNK:0:9 ; CHUNK:1:10 ; OUT:9A |
multidigit_addition | multidigit_addition:rounding-decomposition | 858+720 | round:860+720=1580 ; adjust:1580-2=1578 ; sum=1578 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 3, 9, 0, 3 | 3+9=12 ; 0+3=3 ; 12+3=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 333+611 | round:340+611=951 ; adjust:951-7=944 ; sum=944 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=25 | 5x+5=25 ; x=(25-5)/5 ; x=20/5 ; x=4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 587+882 | p100:500+800=1300 ; p10:80+80=160 ; p1:7+2=9 ; sum=1300+160+9=1469 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+63=14 | 7x+63=14 ; x=(14-63)/7 ; x=-49/7 ; x=-7 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 3, 0, 5 | [6,3,7,0,5] ; [6,3,0,7,5] ; [6,3,0,5,7] ; [3,6,0,5,7] ; [3,0,6,5,7] ; [3,0,5,6,7] ; [0,3,5,6,7] |
list_summation | list_summation:right-to-left | 6, 7, 0, 2 | 0+2=2 ; 7+2=9 ; 6+9=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=-6 | 6x+6=-6 ; x=(-6-6)/6 ; x=-12/6 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 0, 1, 4 | [0,1,2,6,4] ; [0,1,2,4,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-35=-30 | 5x-35=-30 ; 5x=5 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 161+747 | d2:1+7+0=8→w8,c0 ; d1:6+4+0=10→w0,c1 ; d0:1+7+1=9→w9,c0 ; sum=908 |
list_summation | list_summation:right-to-left | 6, 9, 0, 3 | 0+3=3 ; 9+3=12 ; 6+12=18 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=141,base=8 | DIV:141/8=17,r:5 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:215 |
multidigit_addition | multidigit_addition:left-to-right-partials | 684+273 | p100:600+200=800 ; p10:80+70=150 ; p1:4+3=7 ; sum=800+150+7=957 |
multidigit_addition | multidigit_addition:rounding-decomposition | 928+245 | round:930+245=1175 ; adjust:1175-2=1173 ; sum=1173 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,3) | D:(3,2) ; D:(4,2) ; R:(4,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 1, 0, 9, 6 | [1,3,0,9,6] ; [0,1,3,9,6] ; [0,1,3,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+14=-35 | 7x+14=-35 ; x+2=-5 ; x=-5-2 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 9, 5, 6 | [1,8,9,5,6] ; [1,5,9,8,6] ; [1,5,6,8,9] ; [1,5,6,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 179+521 | d2:9+1+0=10→w0,c1 ; d1:7+2+1=10→w0,c1 ; d0:1+5+1=7→w7,c0 ; sum=700 |
base_conversion | base_conversion:decomposition | n=254,base=16 | TERM:15*16^1=240 ; TERM:14*16^0=14 ; OUT:FE |
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) |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 3, 5, 4 | [6,3,7,5,4] ; [6,3,5,7,4] ; [6,3,5,4,7] ; [3,6,5,4,7] ; [3,5,6,4,7] ; [3,5,4,6,7] ; [3,4,5,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 855+607 | d2:5+7+0=12→w2,c1 ; d1:5+0+1=6→w6,c0 ; d0:8+6+0=14→w4,c1 ; sum=1462 |
base_conversion | base_conversion:via-binary | n=31,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:11111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=18 | 2x+18=18 ; x+9=9 ; x=9-9 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=6 | 3x+6=6 ; x+2=2 ; x=2-2 ; x=0 |
list_summation | list_summation:left-to-right | 3, 0, 5, 5 | 3+0=3 ; 3+5=8 ; 8+5=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=25,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11001 |
list_summation | list_summation:left-to-right | 9, 2, 2, 2 | 9+2=11 ; 11+2=13 ; 13+2=15 |
list_summation | list_summation:right-to-left | 2, 2, 1, 8 | 1+8=9 ; 2+9=11 ; 2+11=13 |
list_summation | list_summation:pairwise | 8, 3, 7, 8 | 8+3=11 ; 7+8=15 ; 11+15=26 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 7, 6, 1 | [5,7,9,6,1] ; [5,7,6,9,1] ; [5,7,6,1,9] ; [5,6,7,1,9] ; [5,6,1,7,9] ; [5,1,6,7,9] ; [1,5,6,7,9] |
base_conversion | base_conversion:repeated-division | n=179,base=8 | DIV:179/8=22,r:3 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:263 |
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) |
list_summation | list_summation:pairwise | 7, 9, 5, 5 | 7+9=16 ; 5+5=10 ; 16+10=26 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-28=-56 | 7x-28=-56 ; x+-4=-8 ; x=-8--4 ; x=-4 |
list_summation | list_summation:right-to-left | 4, 2, 0, 2 | 0+2=2 ; 2+2=4 ; 4+4=8 |
list_summation | list_summation:left-to-right | 8, 4, 8, 7 | 8+4=12 ; 12+8=20 ; 20+7=27 |
base_conversion | base_conversion:via-binary | n=225,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11100001 |
multidigit_addition | multidigit_addition:right-to-left-carry | 625+833 | d2:5+3+0=8→w8,c0 ; d1:2+3+0=5→w5,c0 ; d0:6+8+0=14→w4,c1 ; sum=1458 |
base_conversion | base_conversion:repeated-division | n=193,base=8 | DIV:193/8=24,r:1 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:301 |
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