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 | 3, 9, 2, 8 | 2+8=10 ; 9+10=19 ; 3+19=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+14=10 | 2x+14=10 ; x=(10-14)/2 ; x=-4/2 ; x=-2 |
list_summation | list_summation:pairwise | 3, 0, 6, 9 | 3+0=3 ; 6+9=15 ; 3+15=18 |
base_conversion | base_conversion:repeated-division | n=119,base=4 | DIV:119/4=29,r:3 ; DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1313 |
list_summation | list_summation:pairwise | 6, 3, 2, 6 | 6+3=9 ; 2+6=8 ; 9+8=17 |
list_summation | list_summation:right-to-left | 9, 6, 3, 7 | 3+7=10 ; 6+10=16 ; 9+16=25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 791+782 | round:800+782=1582 ; adjust:1582-9=1573 ; sum=1573 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 8, 7, 1 | [0,8,9,7,1] ; [0,8,7,9,1] ; [0,8,7,1,9] ; [0,7,8,1,9] ; [0,7,1,8,9] ; [0,1,7,8,9] |
base_conversion | base_conversion:repeated-division | n=169,base=2 | DIV:169/2=84,r:1 ; DIV:84/2=42,r:0 ; DIV:42/2=21,r:0 ; 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:10101001 |
multidigit_addition | multidigit_addition:rounding-decomposition | 794+703 | round:800+703=1503 ; adjust:1503-6=1497 ; sum=1497 |
list_summation | list_summation:left-to-right | 6, 2, 7, 4 | 6+2=8 ; 8+7=15 ; 15+4=19 |
list_summation | list_summation:pairwise | 6, 8, 1, 4 | 6+8=14 ; 1+4=5 ; 14+5=19 |
list_summation | list_summation:right-to-left | 7, 9, 0, 0 | 0+0=0 ; 9+0=9 ; 7+9=16 |
base_conversion | base_conversion:decomposition | n=39,base=8 | TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:47 |
base_conversion | base_conversion:repeated-division | n=220,base=2 | DIV:220/2=110,r:0 ; 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:11011100 |
list_summation | list_summation:right-to-left | 6, 6, 3, 3 | 3+3=6 ; 6+6=12 ; 6+12=18 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 7, 6, 2, 5 | [3,7,6,2,5] ; [3,6,7,2,5] ; [2,3,6,7,5] ; [2,3,5,6,7] |
base_conversion | base_conversion:via-binary | n=132,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10000100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-56=-72 | 8x-56=-72 ; 8x=-16 ; x=-2 |
list_summation | list_summation:right-to-left | 4, 2, 2, 7 | 2+7=9 ; 2+9=11 ; 4+11=15 |
multidigit_addition | multidigit_addition:left-to-right-partials | 167+201 | p100:100+200=300 ; p10:60+0=60 ; p1:7+1=8 ; sum=300+60+8=368 |
list_summation | list_summation:pairwise | 2, 1, 4, 7 | 2+1=3 ; 4+7=11 ; 3+11=14 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=200,base=2 | DIV:200/2=100,r:0 ; DIV:100/2=50,r:0 ; DIV:50/2=25,r:0 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11001000 |
list_summation | list_summation:right-to-left | 8, 1, 4, 2 | 4+2=6 ; 1+6=7 ; 8+7=15 |
base_conversion | base_conversion:decomposition | n=119,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1110111 |
base_conversion | base_conversion:decomposition | n=137,base=16 | TERM:8*16^1=128 ; TERM:9*16^0=9 ; OUT:89 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 5, 3, 1, 7 | 5+3=8 ; 8+1=9 ; 9+7=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-48 | 3x-27=-48 ; 3x=-21 ; x=-7 |
list_summation | list_summation:left-to-right | 9, 4, 2, 9 | 9+4=13 ; 13+2=15 ; 15+9=24 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 2, 0, 6 | [3,7,2,0,6] ; [3,2,7,0,6] ; [3,2,0,7,6] ; [3,2,0,6,7] ; [2,3,0,6,7] ; [2,0,3,6,7] ; [0,2,3,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 501+289 | d2:1+9+0=10→w0,c1 ; d1:0+8+1=9→w9,c0 ; d0:5+2+0=7→w7,c0 ; sum=790 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+18=24 | 6x+18=24 ; x=(24-18)/6 ; x=6/6 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 571+910 | d2:1+0+0=1→w1,c0 ; d1:7+1+0=8→w8,c0 ; d0:5+9+0=14→w4,c1 ; sum=1481 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 4, 7, 9 | [2,5,4,7,9] ; [2,4,5,7,9] ; [2,4,5,7,9] ; [2,4,5,7,9] |
list_summation | list_summation:right-to-left | 5, 6, 9, 3 | 9+3=12 ; 6+12=18 ; 5+18=23 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
base_conversion | base_conversion:repeated-division | n=233,base=16 | DIV:233/16=14,r:9 ; DIV:14/16=0,r:14 ; OUT:E9 |
list_summation | list_summation:right-to-left | 4, 5, 6, 8 | 6+8=14 ; 5+14=19 ; 4+19=23 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
multidigit_addition | multidigit_addition:right-to-left-carry | 993+434 | d2:3+4+0=7→w7,c0 ; d1:9+3+0=12→w2,c1 ; d0:9+4+1=14→w4,c1 ; sum=1427 |
multidigit_addition | multidigit_addition:left-to-right-partials | 832+728 | p100:800+700=1500 ; p10:30+20=50 ; p1:2+8=10 ; sum=1500+50+10=1560 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 547+357 | p100:500+300=800 ; p10:40+50=90 ; p1:7+7=14 ; sum=800+90+14=904 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=85 | 5x+45=85 ; 5x=40 ; x=8 |
list_summation | list_summation:pairwise | 5, 1, 5, 7 | 5+1=6 ; 5+7=12 ; 6+12=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 4, 6, 7 | [0,2,4,6,7] ; [0,2,4,6,7] ; [0,2,4,6,7] ; [0,2,4,6,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 5, 0, 6, 1 | [7,6,0,5,1] ; [1,6,0,5,7] ; [6,1,0,5,7] ; [6,5,0,1,7] ; [1,5,0,6,7] ; [5,1,0,6,7] ; [0,1,5,6,7] ; [1,0,5,6,7] ; [0,1,5,6,7] |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 0, 7, 8, 6 | [0,1,7,8,6] ; [0,1,7,8,6] ; [0,1,7,8,6] ; [0,1,6,7,8] |
base_conversion | base_conversion:decomposition | n=234,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:3222 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(1,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) |
list_summation | list_summation:pairwise | 5, 8, 4, 4 | 5+8=13 ; 4+4=8 ; 13+8=21 |
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) |
base_conversion | base_conversion:repeated-division | n=29,base=16 | DIV:29/16=1,r:13 ; DIV:1/16=0,r:1 ; OUT:1D |
list_summation | list_summation:right-to-left | 5, 4, 4, 5 | 4+5=9 ; 4+9=13 ; 5+13=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 5, 1, 0, 3 | [5,6,1,0,3] ; [5,6,0,1,3] ; [0,1,5,6,3] ; [0,1,3,5,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 362+684 | d2:2+4+0=6→w6,c0 ; d1:6+8+0=14→w4,c1 ; d0:3+6+1=10→w0,c1 ; sum=1046 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-54=-36 | 9x-54=-36 ; 9x=18 ; x=2 |
list_summation | list_summation:pairwise | 7, 4, 0, 6 | 7+4=11 ; 0+6=6 ; 11+6=17 |
list_summation | list_summation:right-to-left | 4, 3, 3, 8 | 3+8=11 ; 3+11=14 ; 4+14=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-8=6 | 2x-8=6 ; x=(6--8)/2 ; x=14/2 ; x=7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=0 | 8x+16=0 ; x+2=0 ; x=0-2 ; x=-2 |
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=108,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1230 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-3=6 | 3x-3=6 ; x=(6--3)/3 ; x=9/3 ; x=3 |
base_conversion | base_conversion:via-binary | n=9,base=16 | BINLEN:4 ; CHUNK:0:9 ; OUT:9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(2,5) | D:(1,4) ; D:(2,4) ; R:(2,5) |
base_conversion | base_conversion:decomposition | n=199,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:7*8^0=7 ; OUT:307 |
multidigit_addition | multidigit_addition:right-to-left-carry | 583+211 | d2:3+1+0=4→w4,c0 ; d1:8+1+0=9→w9,c0 ; d0:5+2+0=7→w7,c0 ; sum=794 |
multidigit_addition | multidigit_addition:right-to-left-carry | 992+923 | d2:2+3+0=5→w5,c0 ; d1:9+2+0=11→w1,c1 ; d0:9+9+1=19→w9,c1 ; sum=1915 |
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 |
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 |
list_summation | list_summation:left-to-right | 1, 2, 6, 6 | 1+2=3 ; 3+6=9 ; 9+6=15 |
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:right-to-left | 9, 3, 0, 6 | 0+6=6 ; 3+6=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 820+841 | d2:0+1+0=1→w1,c0 ; d1:2+4+0=6→w6,c0 ; d0:8+8+0=16→w6,c1 ; sum=1661 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 1, 9, 6 | [0,2,1,9,6] ; [0,1,2,9,6] ; [0,1,2,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,2) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) |
list_summation | list_summation:pairwise | 1, 3, 3, 4 | 1+3=4 ; 3+4=7 ; 4+7=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+18=24 | 6x+18=24 ; x=(24-18)/6 ; x=6/6 ; x=1 |
base_conversion | base_conversion:decomposition | n=27,base=2 | TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11011 |
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 | 133+689 | d2:3+9+0=12→w2,c1 ; d1:3+8+1=12→w2,c1 ; d0:1+6+1=8→w8,c0 ; sum=822 |
base_conversion | base_conversion:repeated-division | n=195,base=16 | DIV:195/16=12,r:3 ; DIV:12/16=0,r:12 ; OUT:C3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 9, 8, 4, 0 | 9+8=17 ; 17+4=21 ; 21+0=21 |
base_conversion | base_conversion:repeated-division | n=83,base=2 | DIV:83/2=41,r:1 ; DIV:41/2=20,r:1 ; DIV:20/2=10,r:0 ; 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:1010011 |
base_conversion | base_conversion:repeated-division | n=236,base=4 | DIV:236/4=59,r:0 ; DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3230 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(1,2) | D:(1,1) ; R:(1,2) |
base_conversion | base_conversion:repeated-division | n=170,base=8 | DIV:170/8=21,r:2 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:252 |
base_conversion | base_conversion:repeated-division | n=161,base=8 | DIV:161/8=20,r:1 ; DIV:20/8=2,r:4 ; DIV:2/8=0,r:2 ; OUT:241 |
multidigit_addition | multidigit_addition:left-to-right-partials | 655+200 | p100:600+200=800 ; p10:50+0=50 ; p1:5+0=5 ; sum=800+50+5=855 |
multidigit_addition | multidigit_addition:rounding-decomposition | 446+529 | round:450+529=979 ; adjust:979-4=975 ; sum=975 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-12=-16 | 4x-12=-16 ; x+-3=-4 ; x=-4--3 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=72 | 6x+30=72 ; 6x=42 ; x=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 341+265 | p100:300+200=500 ; p10:40+60=100 ; p1:1+5=6 ; sum=500+100+6=606 |
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