task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:right-to-left | 5, 6, 8, 0 | 8+0=8 ; 6+8=14 ; 5+14=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=-30 | 3x-12=-30 ; x+-4=-10 ; x=-10--4 ; x=-6 |
list_summation | list_summation:left-to-right | 3, 7, 9, 5 | 3+7=10 ; 10+9=19 ; 19+5=24 |
list_summation | list_summation:pairwise | 2, 0, 5, 5 | 2+0=2 ; 5+5=10 ; 2+10=12 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 9, 6, 8 | [5,8,9,6,1] ; [9,8,5,6,1] ; [1,8,5,6,9] ; [8,1,5,6,9] ; [8,6,5,1,9] ; [1,6,5,8,9] ; [6,1,5,8,9] ; [5,1,6,8,9] ; [1,5,6,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=27,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:11 ; OUT:1B |
list_summation | list_summation:pairwise | 6, 8, 1, 2 | 6+8=14 ; 1+2=3 ; 14+3=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=8 | 2x-8=8 ; x+-4=4 ; x=4--4 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,4) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 450+402 | d2:0+2+0=2→w2,c0 ; d1:5+0+0=5→w5,c0 ; d0:4+4+0=8→w8,c0 ; sum=852 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-10 | 2x-8=-10 ; x+-4=-5 ; x=-5--4 ; x=-1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=0 | 2x-10=0 ; x+-5=0 ; x=0--5 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 427+259 | round:430+259=689 ; adjust:689-3=686 ; sum=686 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 9, 7, 1, 5 | [0,9,1,7,5] ; [0,1,7,9,5] ; [0,1,5,7,9] |
list_summation | list_summation:left-to-right | 7, 0, 0, 2 | 7+0=7 ; 7+0=7 ; 7+2=9 |
base_conversion | base_conversion:decomposition | n=121,base=16 | TERM:7*16^1=112 ; TERM:9*16^0=9 ; OUT:79 |
base_conversion | base_conversion:repeated-division | n=76,base=16 | DIV:76/16=4,r:12 ; DIV:4/16=0,r:4 ; OUT:4C |
base_conversion | base_conversion:repeated-division | n=185,base=8 | DIV:185/8=23,r:1 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:271 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=33 | 3x+15=33 ; x+5=11 ; x=11-5 ; x=6 |
list_summation | list_summation:left-to-right | 1, 8, 5, 9 | 1+8=9 ; 9+5=14 ; 14+9=23 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 8, 0, 6, 7 | [5,8,0,6,7] ; [0,5,8,6,7] ; [0,5,6,8,7] ; [0,5,6,7,8] |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 4, 2, 9, 7 | 4+2=6 ; 9+7=16 ; 6+16=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 756+407 | round:760+407=1167 ; adjust:1167-4=1163 ; sum=1163 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; R:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=215,base=2 | DIV:215/2=107,r:1 ; DIV:107/2=53,r:1 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; 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:11010111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 695+611 | d2:5+1+0=6→w6,c0 ; d1:9+1+0=10→w0,c1 ; d0:6+6+1=13→w3,c1 ; sum=1306 |
base_conversion | base_conversion:decomposition | n=96,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:140 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 1, 3, 5, 7 | [1,6,3,5,7] ; [1,3,6,5,7] ; [1,3,5,6,7] ; [1,3,5,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-90 | 6x-36=-90 ; 6x=-54 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+24=72 | 6x+24=72 ; x+4=12 ; x=12-4 ; x=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 7, 6, 9, 0 | [1,6,7,9,0] ; [1,6,7,0,9] ; [1,6,0,7,9] ; [1,0,6,7,9] ; [0,1,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 570+206 | round:570+206=776 ; adjust:776-0=776 ; sum=776 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:left-to-right | 2, 0, 9, 8 | 2+0=2 ; 2+9=11 ; 11+8=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 0, 5, 8, 6 | [0,7,5,8,6] ; [0,5,7,8,6] ; [0,5,7,8,6] ; [0,5,6,7,8] |
list_summation | list_summation:left-to-right | 8, 7, 6, 5 | 8+7=15 ; 15+6=21 ; 21+5=26 |
base_conversion | base_conversion:decomposition | n=157,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:2131 |
multidigit_addition | multidigit_addition:rounding-decomposition | 848+769 | round:850+769=1619 ; adjust:1619-2=1617 ; sum=1617 |
multidigit_addition | multidigit_addition:rounding-decomposition | 903+463 | round:910+463=1373 ; adjust:1373-7=1366 ; sum=1366 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 9, 6, 4 | [2,6,9,5,4] ; [9,6,2,5,4] ; [4,6,2,5,9] ; [6,4,2,5,9] ; [6,5,2,4,9] ; [4,5,2,6,9] ; [5,4,2,6,9] ; [2,4,5,6,9] ; [4,2,5,6,9] ; [2,4,5,6,9] |
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:divide-then-subtract | 3x+21=12 | 3x+21=12 ; x+7=4 ; x=4-7 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,4) | D:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 0, 3, 4, 8 | 0+3=3 ; 4+8=12 ; 3+12=15 |
list_summation | list_summation:right-to-left | 7, 8, 4, 9 | 4+9=13 ; 8+13=21 ; 7+21=28 |
list_summation | list_summation:right-to-left | 4, 3, 4, 2 | 4+2=6 ; 3+6=9 ; 4+9=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,5) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:via-binary | n=63,base=8 | BINLEN:6 ; CHUNK:0:7 ; CHUNK:1:7 ; OUT:77 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 7, 9, 2, 8 | [4,7,2,9,8] ; [4,7,2,8,9] ; [4,2,7,8,9] ; [2,4,7,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; R:(3,2) ; D:(4,2) ; D:(5,2) |
base_conversion | base_conversion:repeated-division | n=214,base=4 | DIV:214/4=53,r:2 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3112 |
base_conversion | base_conversion:via-binary | n=213,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 5, 1, 8 | [6,7,5,1,8] ; [6,5,7,1,8] ; [6,5,1,7,8] ; [5,6,1,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
list_summation | list_summation:pairwise | 7, 8, 1, 8 | 7+8=15 ; 1+8=9 ; 15+9=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 3, 4, 0, 5 | [3,8,4,0,5] ; [3,4,8,0,5] ; [3,4,0,8,5] ; [3,4,0,5,8] ; [3,0,4,5,8] ; [0,3,4,5,8] |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 8, 9, 1 | [0,2,8,1,9] ; [0,2,1,8,9] ; [0,1,2,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-63 | 7x-56=-63 ; x=(-63--56)/7 ; x=-7/7 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=153,base=16 | DIV:153/16=9,r:9 ; DIV:9/16=0,r:9 ; OUT:99 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 4, 9, 1 | [0,2,4,9,1] ; [0,1,2,4,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-60 | 6x-30=-60 ; 6x=-30 ; x=-5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 383+651 | round:390+651=1041 ; adjust:1041-7=1034 ; sum=1034 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 0, 1, 6, 4 | [0,8,1,6,4] ; [0,1,8,6,4] ; [0,1,4,6,8] ; [0,1,4,6,8] |
base_conversion | base_conversion:via-binary | n=56,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; OUT:111000 |
multidigit_addition | multidigit_addition:right-to-left-carry | 540+928 | d2:0+8+0=8→w8,c0 ; d1:4+2+0=6→w6,c0 ; d0:5+9+0=14→w4,c1 ; sum=1468 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+63=-9 | 9x+63=-9 ; x=(-9-63)/9 ; x=-72/9 ; x=-8 |
list_summation | list_summation:right-to-left | 8, 8, 2, 9 | 2+9=11 ; 8+11=19 ; 8+19=27 |
base_conversion | base_conversion:decomposition | n=130,base=16 | TERM:8*16^1=128 ; TERM:2*16^0=2 ; OUT:82 |
multidigit_addition | multidigit_addition:left-to-right-partials | 929+864 | p100:900+800=1700 ; p10:20+60=80 ; p1:9+4=13 ; sum=1700+80+13=1793 |
list_summation | list_summation:pairwise | 9, 6, 9, 3 | 9+6=15 ; 9+3=12 ; 15+12=27 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=-81 | 9x-18=-81 ; x+-2=-9 ; x=-9--2 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+56=64 | 8x+56=64 ; x+7=8 ; x=8-7 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 347+466 | d2:7+6+0=13→w3,c1 ; d1:4+6+1=11→w1,c1 ; d0:3+4+1=8→w8,c0 ; sum=813 |
multidigit_addition | multidigit_addition:right-to-left-carry | 573+755 | d2:3+5+0=8→w8,c0 ; d1:7+5+0=12→w2,c1 ; d0:5+7+1=13→w3,c1 ; sum=1328 |
list_summation | list_summation:left-to-right | 7, 3, 1, 5 | 7+3=10 ; 10+1=11 ; 11+5=16 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-35=-5 | 5x-35=-5 ; x+-7=-1 ; x=-1--7 ; x=6 |
list_summation | list_summation:left-to-right | 6, 5, 2, 3 | 6+5=11 ; 11+2=13 ; 13+3=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 0, 7, 9, 3 | [0,6,7,9,3] ; [0,3,7,9,6] ; [0,3,6,9,7] ; [0,3,6,7,9] |
base_conversion | base_conversion:decomposition | n=217,base=16 | TERM:13*16^1=208 ; TERM:9*16^0=9 ; OUT:D9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 322+665 | round:330+665=995 ; adjust:995-8=987 ; sum=987 |
multidigit_addition | multidigit_addition:right-to-left-carry | 492+178 | d2:2+8+0=10→w0,c1 ; d1:9+7+1=17→w7,c1 ; d0:4+1+1=6→w6,c0 ; sum=670 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-16=-28 | 2x-16=-28 ; 2x=-12 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=-3 | 3x-12=-3 ; x=(-3--12)/3 ; x=9/3 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=188,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:4 ; OUT:274 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 2, 4, 1 | [3,7,2,4,1] ; [2,3,7,4,1] ; [2,3,4,7,1] ; [1,2,3,4,7] |
list_summation | list_summation:right-to-left | 9, 6, 3, 3 | 3+3=6 ; 6+6=12 ; 9+12=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-28=-63 | 7x-28=-63 ; x=(-63--28)/7 ; x=-35/7 ; x=-5 |
list_summation | list_summation:left-to-right | 8, 4, 5, 4 | 8+4=12 ; 12+5=17 ; 17+4=21 |
base_conversion | base_conversion:via-binary | n=80,base=16 | BINLEN:7 ; CHUNK:0:5 ; CHUNK:1:0 ; OUT:50 |
list_summation | list_summation:left-to-right | 5, 2, 4, 0 | 5+2=7 ; 7+4=11 ; 11+0=11 |
list_summation | list_summation:pairwise | 9, 1, 1, 6 | 9+1=10 ; 1+6=7 ; 10+7=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 8, 5, 0, 9 | [1,5,8,0,9] ; [1,5,0,8,9] ; [1,0,5,8,9] ; [0,1,5,8,9] |
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