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 | 5x+45=55 | 5x+45=55 ; 5x=10 ; x=2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(4,5) | D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=146,base=8 | DIV:146/8=18,r:2 ; DIV:18/8=2,r:2 ; DIV:2/8=0,r:2 ; OUT:222 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+7=-14 | 7x+7=-14 ; x+1=-2 ; x=-2-1 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 4, 5, 1, 9 | [2,4,5,1,9] ; [2,4,5,1,9] ; [1,2,4,5,9] ; [1,2,4,5,9] |
base_conversion | base_conversion:repeated-division | n=133,base=2 | DIV:133/2=66,r:1 ; DIV:66/2=33,r:0 ; DIV:33/2=16,r:1 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000101 |
base_conversion | base_conversion:decomposition | n=153,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:2121 |
multidigit_addition | multidigit_addition:left-to-right-partials | 131+535 | p100:100+500=600 ; p10:30+30=60 ; p1:1+5=6 ; sum=600+60+6=666 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 412+258 | p100:400+200=600 ; p10:10+50=60 ; p1:2+8=10 ; sum=600+60+10=670 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-20 | 5x-45=-20 ; x+-9=-4 ; x=-4--9 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 920+523 | round:920+523=1443 ; adjust:1443-0=1443 ; sum=1443 |
list_summation | list_summation:right-to-left | 0, 5, 8, 4 | 8+4=12 ; 5+12=17 ; 0+17=17 |
list_summation | list_summation:right-to-left | 5, 1, 2, 1 | 2+1=3 ; 1+3=4 ; 5+4=9 |
base_conversion | base_conversion:via-binary | n=233,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:1 ; OUT:351 |
base_conversion | base_conversion:decomposition | n=75,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:1023 |
base_conversion | base_conversion:decomposition | n=246,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:3312 |
list_summation | list_summation:left-to-right | 1, 8, 3, 1 | 1+8=9 ; 9+3=12 ; 12+1=13 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 2, 6, 8, 5 | [1,2,6,8,5] ; [1,2,6,8,5] ; [1,2,5,8,6] ; [1,2,5,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 5, 6, 7 | [2,3,5,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7] ; [2,3,5,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-32=-48 | 8x-32=-48 ; x+-4=-6 ; x=-6--4 ; x=-2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 2, 0, 6 | [1,8,2,0,6] ; [1,2,8,0,6] ; [1,2,0,8,6] ; [1,2,0,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 515+913 | d2:5+3+0=8→w8,c0 ; d1:1+1+0=2→w2,c0 ; d0:5+9+0=14→w4,c1 ; sum=1428 |
multidigit_addition | multidigit_addition:right-to-left-carry | 548+178 | d2:8+8+0=16→w6,c1 ; d1:4+7+1=12→w2,c1 ; d0:5+1+1=7→w7,c0 ; sum=726 |
base_conversion | base_conversion:repeated-division | n=105,base=8 | DIV:105/8=13,r:1 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:151 |
list_summation | list_summation:left-to-right | 8, 1, 8, 0 | 8+1=9 ; 9+8=17 ; 17+0=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 2, 9, 4, 5 | 2+9=11 ; 4+5=9 ; 11+9=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 162+266 | d2:2+6+0=8→w8,c0 ; d1:6+6+0=12→w2,c1 ; d0:1+2+1=4→w4,c0 ; sum=428 |
multidigit_addition | multidigit_addition:right-to-left-carry | 203+179 | d2:3+9+0=12→w2,c1 ; d1:0+7+1=8→w8,c0 ; d0:2+1+0=3→w3,c0 ; sum=382 |
list_summation | list_summation:left-to-right | 6, 9, 0, 4 | 6+9=15 ; 15+0=15 ; 15+4=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-144 | 9x-81=-144 ; x=(-144--81)/9 ; x=-63/9 ; x=-7 |
list_summation | list_summation:pairwise | 8, 7, 1, 2 | 8+7=15 ; 1+2=3 ; 15+3=18 |
list_summation | list_summation:pairwise | 7, 9, 6, 2 | 7+9=16 ; 6+2=8 ; 16+8=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-8=-64 | 8x-8=-64 ; x+-1=-8 ; x=-8--1 ; x=-7 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 3, 5, 6 | [1,2,3,5,6] ; [1,2,3,5,6] ; [1,2,3,5,6] ; [1,2,3,5,6] |
multidigit_addition | multidigit_addition:left-to-right-partials | 183+181 | p100:100+100=200 ; p10:80+80=160 ; p1:3+1=4 ; sum=200+160+4=364 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 111+824 | d2:1+4+0=5→w5,c0 ; d1:1+2+0=3→w3,c0 ; d0:1+8+0=9→w9,c0 ; sum=935 |
base_conversion | base_conversion:repeated-division | n=148,base=4 | DIV:148/4=37,r:0 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2110 |
multidigit_addition | multidigit_addition:right-to-left-carry | 793+482 | d2:3+2+0=5→w5,c0 ; d1:9+8+0=17→w7,c1 ; d0:7+4+1=12→w2,c1 ; sum=1275 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 1, 7, 8, 9 | [1,2,7,8,9] ; [1,2,7,8,9] ; [1,2,7,8,9] ; [1,2,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(4,5) | D:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=52,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:310 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 4, 3, 5, 1 | [4,7,3,5,1] ; [3,4,5,7,1] ; [1,3,4,5,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 5, 4, 6 | [0,5,9,4,6] ; [0,5,4,9,6] ; [0,5,4,6,9] ; [0,4,5,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=166,base=16 | TERM:10*16^1=160 ; TERM:6*16^0=6 ; OUT:A6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 855+713 | p100:800+700=1500 ; p10:50+10=60 ; p1:5+3=8 ; sum=1500+60+8=1568 |
multidigit_addition | multidigit_addition:right-to-left-carry | 963+680 | d2:3+0+0=3→w3,c0 ; d1:6+8+0=14→w4,c1 ; d0:9+6+1=16→w6,c1 ; sum=1643 |
base_conversion | base_conversion:repeated-division | n=231,base=16 | DIV:231/16=14,r:7 ; DIV:14/16=0,r:14 ; OUT:E7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; D:(3,3) ; R:(3,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=14 | 2x+16=14 ; 2x=-2 ; x=-1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 504+259 | d2:4+9+0=13→w3,c1 ; d1:0+5+1=6→w6,c0 ; d0:5+2+0=7→w7,c0 ; sum=763 |
multidigit_addition | multidigit_addition:right-to-left-carry | 509+636 | d2:9+6+0=15→w5,c1 ; d1:0+3+1=4→w4,c0 ; d0:5+6+0=11→w1,c1 ; sum=1145 |
list_summation | list_summation:right-to-left | 2, 7, 8, 5 | 8+5=13 ; 7+13=20 ; 2+20=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 8, 4, 3, 1 | 8+4=12 ; 3+1=4 ; 12+4=16 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 4, 8, 2, 3 | [4,6,8,2,3] ; [4,6,2,8,3] ; [2,4,6,8,3] ; [2,3,4,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 925+811 | round:930+811=1741 ; adjust:1741-5=1736 ; sum=1736 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 8, 0, 5, 7 | [2,0,8,5,7] ; [2,0,5,8,7] ; [2,0,5,7,8] ; [0,2,5,7,8] |
list_summation | list_summation:pairwise | 5, 2, 1, 3 | 5+2=7 ; 1+3=4 ; 7+4=11 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 955+962 | round:960+962=1922 ; adjust:1922-5=1917 ; sum=1917 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+56=70 | 7x+56=70 ; x=(70-56)/7 ; x=14/7 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 3, 2, 5 | [1,8,3,2,5] ; [1,2,3,8,5] ; [1,2,3,8,5] ; [1,2,3,5,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+48=84 | 6x+48=84 ; x=(84-48)/6 ; x=36/6 ; x=6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+0=-18 | 2x+0=-18 ; x+0=-9 ; x=-9-0 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=104 | 8x+72=104 ; 8x=32 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+0=27 | 3x+0=27 ; 3x=27 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=27 | 3x+6=27 ; 3x=21 ; x=7 |
base_conversion | base_conversion:via-binary | n=17,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:101 |
multidigit_addition | multidigit_addition:left-to-right-partials | 316+652 | p100:300+600=900 ; p10:10+50=60 ; p1:6+2=8 ; sum=900+60+8=968 |
base_conversion | base_conversion:via-binary | n=25,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; OUT:11001 |
base_conversion | base_conversion:decomposition | n=171,base=4 | TERM:2*4^3=128 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:2223 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 4, 0, 3, 5 | [4,6,0,3,5] ; [0,3,4,6,5] ; [0,3,4,5,6] |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 5, 9, 8 | [0,9,5,4,8] ; [9,0,5,4,8] ; [9,8,5,4,0] ; [0,8,5,4,9] ; [8,0,5,4,9] ; [8,4,5,0,9] ; [0,4,5,8,9] ; [5,4,0,8,9] ; [0,4,5,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
base_conversion | base_conversion:decomposition | n=17,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10001 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
list_summation | list_summation:right-to-left | 0, 8, 8, 6 | 8+6=14 ; 8+14=22 ; 0+22=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,5) | R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 6, 4, 3, 7 | [5,7,4,3,6] ; [7,5,4,3,6] ; [7,6,4,3,5] ; [5,6,4,3,7] ; [6,5,4,3,7] ; [3,5,4,6,7] ; [5,3,4,6,7] ; [4,3,5,6,7] ; [3,4,5,6,7] |
list_summation | list_summation:pairwise | 3, 0, 4, 1 | 3+0=3 ; 4+1=5 ; 3+5=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=-27 | 9x+54=-27 ; 9x=-81 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-3 | 3x-15=-3 ; 3x=12 ; x=4 |
base_conversion | base_conversion:repeated-division | n=239,base=4 | DIV:239/4=59,r:3 ; DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3233 |
base_conversion | base_conversion:repeated-division | n=190,base=8 | DIV:190/8=23,r:6 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:276 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=8 | 2x+12=8 ; x+6=4 ; x=4-6 ; x=-2 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 4, 5, 0 | [0,8,4,5,1] ; [0,1,4,5,8] ; [0,1,4,5,8] ; [0,1,4,5,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 518+960 | round:520+960=1480 ; adjust:1480-2=1478 ; sum=1478 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 5, 9, 2, 5 | 2+5=7 ; 9+7=16 ; 5+16=21 |
base_conversion | base_conversion:repeated-division | n=112,base=8 | DIV:112/8=14,r:0 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:160 |
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