task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 575+158 | round:580+158=738 ; adjust:738-5=733 ; sum=733 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 4, 1, 5 | [1,9,4,3,5] ; [1,3,4,9,5] ; [1,3,4,9,5] ; [1,3,4,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 970+684 | d2:0+4+0=4→w4,c0 ; d1:7+8+0=15→w5,c1 ; d0:9+6+1=16→w6,c1 ; sum=1654 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 0, 5, 4 | [3,0,8,5,4] ; [3,0,5,8,4] ; [3,0,5,4,8] ; [0,3,5,4,8] ; [0,3,4,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 7, 1, 5, 4 | [0,7,1,5,4] ; [0,1,7,5,4] ; [0,1,4,5,7] ; [0,1,4,5,7] |
list_summation | list_summation:left-to-right | 6, 9, 4, 9 | 6+9=15 ; 15+4=19 ; 19+9=28 |
base_conversion | base_conversion:via-binary | n=173,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:5 ; CHUNK:2:5 ; OUT:255 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=27 | 9x+0=27 ; x+0=3 ; x=3-0 ; x=3 |
base_conversion | base_conversion:decomposition | n=224,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:3200 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 3, 5, 8 | [1,8,3,5,6] ; [8,1,3,5,6] ; [8,6,3,5,1] ; [1,6,3,5,8] ; [6,1,3,5,8] ; [6,5,3,1,8] ; [1,5,3,6,8] ; [5,1,3,6,8] ; [3,1,5,6,8] ; [1,3,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 990+363 | d2:0+3+0=3→w3,c0 ; d1:9+6+0=15→w5,c1 ; d0:9+3+1=13→w3,c1 ; sum=1353 |
list_summation | list_summation:pairwise | 9, 4, 0, 0 | 9+4=13 ; 0+0=0 ; 13+0=13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 116+323 | p100:100+300=400 ; p10:10+20=30 ; p1:6+3=9 ; sum=400+30+9=439 |
multidigit_addition | multidigit_addition:left-to-right-partials | 381+313 | p100:300+300=600 ; p10:80+10=90 ; p1:1+3=4 ; sum=600+90+4=694 |
base_conversion | base_conversion:repeated-division | n=234,base=4 | DIV:234/4=58,r:2 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3222 |
list_summation | list_summation:left-to-right | 8, 0, 0, 6 | 8+0=8 ; 8+0=8 ; 8+6=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,5) | 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) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=199,base=4 | DIV:199/4=49,r:3 ; DIV:49/4=12,r:1 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3013 |
multidigit_addition | multidigit_addition:right-to-left-carry | 789+896 | d2:9+6+0=15→w5,c1 ; d1:8+9+1=18→w8,c1 ; d0:7+8+1=16→w6,c1 ; sum=1685 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(2,4) | D:(2,3) ; R:(2,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 6, 9, 8 | [1,2,6,9,8] ; [1,2,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 330+466 | round:330+466=796 ; adjust:796-0=796 ; sum=796 |
multidigit_addition | multidigit_addition:rounding-decomposition | 332+383 | round:340+383=723 ; adjust:723-8=715 ; sum=715 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=8 | 2x-2=8 ; 2x=10 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) |
list_summation | list_summation:pairwise | 3, 7, 6, 5 | 3+7=10 ; 6+5=11 ; 10+11=21 |
base_conversion | base_conversion:via-binary | n=174,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10101110 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 4, 9, 8, 6 | [1,4,9,8,6] ; [1,4,9,8,6] ; [1,4,6,8,9] ; [1,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 973+471 | p100:900+400=1300 ; p10:70+70=140 ; p1:3+1=4 ; sum=1300+140+4=1444 |
list_summation | list_summation:pairwise | 0, 5, 7, 5 | 0+5=5 ; 7+5=12 ; 5+12=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=6 | 2x-6=6 ; x+-3=3 ; x=3--3 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-16=48 | 8x-16=48 ; x=(48--16)/8 ; x=64/8 ; x=8 |
base_conversion | base_conversion:decomposition | n=37,base=8 | TERM:4*8^1=32 ; TERM:5*8^0=5 ; OUT:45 |
base_conversion | base_conversion:via-binary | n=118,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:2 ; OUT:1312 |
base_conversion | base_conversion:decomposition | n=29,base=16 | TERM:1*16^1=16 ; TERM:13*16^0=13 ; OUT:1D |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,3) | R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+36=36 | 4x+36=36 ; 4x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-55 | 5x-40=-55 ; x+-8=-11 ; x=-11--8 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=15 | 5x+20=15 ; x=(15-20)/5 ; x=-5/5 ; x=-1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 8, 6, 0 | [5,9,8,6,0] ; [5,8,9,6,0] ; [5,8,6,9,0] ; [5,8,6,0,9] ; [5,6,8,0,9] ; [5,6,0,8,9] ; [5,0,6,8,9] ; [0,5,6,8,9] |
base_conversion | base_conversion:decomposition | n=84,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1010100 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-35=-14 | 7x-35=-14 ; x+-5=-2 ; x=-2--5 ; x=3 |
list_summation | list_summation:pairwise | 3, 4, 3, 2 | 3+4=7 ; 3+2=5 ; 7+5=12 |
base_conversion | base_conversion:via-binary | n=62,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:6 ; OUT:76 |
multidigit_addition | multidigit_addition:rounding-decomposition | 158+642 | round:160+642=802 ; adjust:802-2=800 ; sum=800 |
list_summation | list_summation:right-to-left | 5, 0, 6, 1 | 6+1=7 ; 0+7=7 ; 5+7=12 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,2) | R:(2,2) ; D:(3,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+8=2 | 2x+8=2 ; x+4=1 ; x=1-4 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 7, 3, 0 | [0,8,7,3,5] ; [0,3,7,8,5] ; [0,3,5,8,7] ; [0,3,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 538+631 | round:540+631=1171 ; adjust:1171-2=1169 ; sum=1169 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=-10 | 2x+6=-10 ; x=(-10-6)/2 ; x=-16/2 ; x=-8 |
list_summation | list_summation:left-to-right | 0, 6, 7, 7 | 0+6=6 ; 6+7=13 ; 13+7=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=43,base=4 | DIV:43/4=10,r:3 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:223 |
list_summation | list_summation:right-to-left | 5, 0, 5, 1 | 5+1=6 ; 0+6=6 ; 5+6=11 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 733+199 | round:740+199=939 ; adjust:939-7=932 ; sum=932 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,2) | R:(0,1) ; R:(0,2) ; D:(1,2) ; D:(2,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,1) | D:(3,0) ; D:(4,0) ; R:(4,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 794+903 | d2:4+3+0=7→w7,c0 ; d1:9+0+0=9→w9,c0 ; d0:7+9+0=16→w6,c1 ; sum=1697 |
list_summation | list_summation:left-to-right | 8, 0, 3, 0 | 8+0=8 ; 8+3=11 ; 11+0=11 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 9, 7, 1 | [4,6,9,7,1] ; [4,6,7,9,1] ; [4,6,7,1,9] ; [4,6,1,7,9] ; [4,1,6,7,9] ; [1,4,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 9, 7, 4 | [2,3,7,9,4] ; [2,3,4,7,9] |
list_summation | list_summation:left-to-right | 8, 1, 2, 6 | 8+1=9 ; 9+2=11 ; 11+6=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,5) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 534+383 | p100:500+300=800 ; p10:30+80=110 ; p1:4+3=7 ; sum=800+110+7=917 |
multidigit_addition | multidigit_addition:right-to-left-carry | 808+939 | d2:8+9+0=17→w7,c1 ; d1:0+3+1=4→w4,c0 ; d0:8+9+0=17→w7,c1 ; sum=1747 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 8, 1, 4 | [7,4,8,1,3] ; [8,4,7,1,3] ; [3,4,7,1,8] ; [7,4,3,1,8] ; [1,4,3,7,8] ; [4,1,3,7,8] ; [3,1,4,7,8] ; [1,3,4,7,8] |
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:right-to-left | 6, 7, 4, 3 | 4+3=7 ; 7+7=14 ; 6+14=20 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=28 | 4x+20=28 ; 4x=8 ; x=2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; R:(2,4) ; D:(3,4) |
list_summation | list_summation:pairwise | 4, 9, 6, 5 | 4+9=13 ; 6+5=11 ; 13+11=24 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-10=35 | 5x-10=35 ; x=(35--10)/5 ; x=45/5 ; x=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 5, 4, 7, 3 | [1,4,5,7,3] ; [1,3,4,5,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:decomposition | n=145,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:1*8^0=1 ; OUT:221 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(3,5) | D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=62,base=4 | DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:332 |
multidigit_addition | multidigit_addition:left-to-right-partials | 520+874 | p100:500+800=1300 ; p10:20+70=90 ; p1:0+4=4 ; sum=1300+90+4=1394 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 0, 9, 7 | [3,4,0,9,7] ; [0,3,4,9,7] ; [0,3,4,9,7] ; [0,3,4,7,9] |
base_conversion | base_conversion:decomposition | n=159,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:2133 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 2, 7, 5 | [0,3,2,7,5] ; [0,2,3,7,5] ; [0,2,3,5,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 718+281 | d2:8+1+0=9→w9,c0 ; d1:1+8+0=9→w9,c0 ; d0:7+2+0=9→w9,c0 ; sum=999 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=24 | 8x-8=24 ; x=(24--8)/8 ; x=32/8 ; x=4 |
list_summation | list_summation:pairwise | 7, 3, 3, 4 | 7+3=10 ; 3+4=7 ; 10+7=17 |
list_summation | list_summation:left-to-right | 1, 6, 3, 5 | 1+6=7 ; 7+3=10 ; 10+5=15 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+42=35 | 7x+42=35 ; 7x=-7 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 354+358 | p100:300+300=600 ; p10:50+50=100 ; p1:4+8=12 ; sum=600+100+12=712 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,4) | D:(2,3) ; D:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 6, 3, 8 | [7,9,6,3,8] ; [6,7,9,3,8] ; [3,6,7,9,8] ; [3,6,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+15=15 | 5x+15=15 ; x+3=3 ; x=3-3 ; x=0 |
list_summation | list_summation:right-to-left | 6, 4, 1, 0 | 1+0=1 ; 4+1=5 ; 6+5=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,1) | R:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 397+878 | round:400+878=1278 ; adjust:1278-3=1275 ; sum=1275 |
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