task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
sorting_algorithms | sorting_algorithms:heap-sort | 2, 8, 4, 7, 6 | [8,2,4,7,6] ; [8,7,4,2,6] ; [6,7,4,2,8] ; [7,6,4,2,8] ; [2,6,4,7,8] ; [6,2,4,7,8] ; [4,2,6,7,8] ; [2,4,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-9 | 9x+18=-9 ; 9x=-27 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(4,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:right-to-left | 4, 3, 3, 5 | 3+5=8 ; 3+8=11 ; 4+11=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,5) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=59,base=2 | TERM:1*2^5=32 ; 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:111011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 294+557 | p100:200+500=700 ; p10:90+50=140 ; p1:4+7=11 ; sum=700+140+11=851 |
base_conversion | base_conversion:repeated-division | n=235,base=8 | DIV:235/8=29,r:3 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:353 |
multidigit_addition | multidigit_addition:rounding-decomposition | 745+431 | round:750+431=1181 ; adjust:1181-5=1176 ; sum=1176 |
base_conversion | base_conversion:repeated-division | n=226,base=16 | DIV:226/16=14,r:2 ; DIV:14/16=0,r:14 ; OUT:E2 |
list_summation | list_summation:pairwise | 6, 1, 9, 3 | 6+1=7 ; 9+3=12 ; 7+12=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:pairwise | 9, 6, 0, 0 | 9+6=15 ; 0+0=0 ; 15+0=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 689+686 | round:690+686=1376 ; adjust:1376-1=1375 ; sum=1375 |
base_conversion | base_conversion:decomposition | n=193,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11000001 |
multidigit_addition | multidigit_addition:left-to-right-partials | 506+303 | p100:500+300=800 ; p10:0+0=0 ; p1:6+3=9 ; sum=800+0+9=809 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+45=80 | 5x+45=80 ; x=(80-45)/5 ; x=35/5 ; x=7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 530+986 | round:530+986=1516 ; adjust:1516-0=1516 ; sum=1516 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 2, 7, 8, 5 | [0,2,7,5,8] ; [0,2,5,7,8] |
list_summation | list_summation:right-to-left | 8, 3, 9, 1 | 9+1=10 ; 3+10=13 ; 8+13=21 |
base_conversion | base_conversion:decomposition | n=124,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1111100 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-54=-27 | 9x-54=-27 ; x=(-27--54)/9 ; x=27/9 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 607+304 | d2:7+4+0=11→w1,c1 ; d1:0+0+1=1→w1,c0 ; d0:6+3+0=9→w9,c0 ; sum=911 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(4,5) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 2, 8, 0, 7 | 2+8=10 ; 0+7=7 ; 10+7=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:decomposition | n=102,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:146 |
list_summation | list_summation:right-to-left | 8, 3, 0, 3 | 0+3=3 ; 3+3=6 ; 8+6=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+6=6 | 3x+6=6 ; 3x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+8=16 | 8x+8=16 ; x=(16-8)/8 ; x=8/8 ; x=1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 829+557 | round:830+557=1387 ; adjust:1387-1=1386 ; sum=1386 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-54=-63 | 9x-54=-63 ; 9x=-9 ; x=-1 |
base_conversion | base_conversion:via-binary | n=220,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:4 ; OUT:334 |
multidigit_addition | multidigit_addition:right-to-left-carry | 564+157 | d2:4+7+0=11→w1,c1 ; d1:6+5+1=12→w2,c1 ; d0:5+1+1=7→w7,c0 ; sum=721 |
multidigit_addition | multidigit_addition:right-to-left-carry | 989+829 | d2:9+9+0=18→w8,c1 ; d1:8+2+1=11→w1,c1 ; d0:9+8+1=18→w8,c1 ; sum=1818 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,3) | R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 692+888 | round:700+888=1588 ; adjust:1588-8=1580 ; sum=1580 |
multidigit_addition | multidigit_addition:left-to-right-partials | 157+283 | p100:100+200=300 ; p10:50+80=130 ; p1:7+3=10 ; sum=300+130+10=440 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) |
list_summation | list_summation:right-to-left | 6, 2, 7, 6 | 7+6=13 ; 2+13=15 ; 6+15=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 708+386 | d2:8+6+0=14→w4,c1 ; d1:0+8+1=9→w9,c0 ; d0:7+3+0=10→w0,c1 ; sum=1094 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 9, 7, 5 | [0,2,9,7,5] ; [0,2,9,7,5] ; [0,2,7,9,5] ; [0,2,5,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 618+375 | p100:600+300=900 ; p10:10+70=80 ; p1:8+5=13 ; sum=900+80+13=993 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 0, 4, 2, 6 | [0,7,4,2,6] ; [0,7,2,4,6] ; [0,2,4,7,6] ; [0,2,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,4) | D:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-7=14 | 7x-7=14 ; x=(14--7)/7 ; x=21/7 ; x=3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=15 | 5x-15=15 ; x=(15--15)/5 ; x=30/5 ; x=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 6, 4, 0, 2 | [3,6,0,4,2] ; [0,3,4,6,2] ; [0,2,3,4,6] |
base_conversion | base_conversion:via-binary | n=25,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:9 ; OUT:19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 555+513 | p100:500+500=1000 ; p10:50+10=60 ; p1:5+3=8 ; sum=1000+60+8=1068 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,4) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) |
base_conversion | base_conversion:repeated-division | n=119,base=2 | DIV:119/2=59,r:1 ; DIV:59/2=29,r:1 ; DIV:29/2=14,r:1 ; 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:1110111 |
base_conversion | base_conversion:decomposition | n=4,base=16 | TERM:4*16^0=4 ; OUT:4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(5,3) | D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 550+200 | d2:0+0+0=0→w0,c0 ; d1:5+0+0=5→w5,c0 ; d0:5+2+0=7→w7,c0 ; sum=750 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,3) | D:(4,1) ; R:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 1, 8, 5, 4 | [0,1,8,5,4] ; [0,1,8,5,4] ; [0,1,5,8,4] ; [0,1,4,5,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 3, 9, 1 | [0,3,7,9,1] ; [0,1,3,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 125+348 | round:130+348=478 ; adjust:478-5=473 ; sum=473 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+36=0 | 9x+36=0 ; 9x=-36 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=47,base=8 | DIV:47/8=5,r:7 ; DIV:5/8=0,r:5 ; OUT:57 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 9, 4, 3 | [1,2,9,4,3] ; [1,2,9,4,3] ; [1,2,3,4,9] ; [1,2,3,4,9] |
base_conversion | base_conversion:via-binary | n=101,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:5 ; OUT:145 |
list_summation | list_summation:pairwise | 1, 0, 2, 5 | 1+0=1 ; 2+5=7 ; 1+7=8 |
multidigit_addition | multidigit_addition:rounding-decomposition | 767+588 | round:770+588=1358 ; adjust:1358-3=1355 ; sum=1355 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 2, 1, 8, 0 | [9,8,1,2,0] ; [0,8,1,2,9] ; [8,0,1,2,9] ; [8,2,1,0,9] ; [0,2,1,8,9] ; [2,0,1,8,9] ; [1,0,2,8,9] ; [0,1,2,8,9] |
list_summation | list_summation:right-to-left | 2, 6, 5, 9 | 5+9=14 ; 6+14=20 ; 2+20=22 |
base_conversion | base_conversion:decomposition | n=46,base=4 | TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:232 |
base_conversion | base_conversion:decomposition | n=227,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:3*8^0=3 ; OUT:343 |
multidigit_addition | multidigit_addition:right-to-left-carry | 996+276 | d2:6+6+0=12→w2,c1 ; d1:9+7+1=17→w7,c1 ; d0:9+2+1=12→w2,c1 ; sum=1272 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-14 | 7x-35=-14 ; 7x=21 ; x=3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 313+988 | d2:3+8+0=11→w1,c1 ; d1:1+8+1=10→w0,c1 ; d0:3+9+1=13→w3,c1 ; sum=1301 |
base_conversion | base_conversion:via-binary | n=41,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:1 ; OUT:51 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 633+709 | p100:600+700=1300 ; p10:30+0=30 ; p1:3+9=12 ; sum=1300+30+12=1342 |
multidigit_addition | multidigit_addition:rounding-decomposition | 538+573 | round:540+573=1113 ; adjust:1113-2=1111 ; sum=1111 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,5) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+18=15 | 3x+18=15 ; x=(15-18)/3 ; x=-3/3 ; x=-1 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 0, 6, 7, 9 | [0,4,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 1, 9, 8, 4 | [0,1,8,9,4] ; [0,1,4,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 7, 9, 4 | [0,3,7,9,4] ; [0,3,4,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,5) | R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; D:(1,3) ; R:(1,4) |
base_conversion | base_conversion:repeated-division | n=251,base=16 | DIV:251/16=15,r:11 ; DIV:15/16=0,r:15 ; OUT:FB |
multidigit_addition | multidigit_addition:right-to-left-carry | 323+784 | d2:3+4+0=7→w7,c0 ; d1:2+8+0=10→w0,c1 ; d0:3+7+1=11→w1,c1 ; sum=1107 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,2) | R:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:left-to-right | 2, 5, 3, 6 | 2+5=7 ; 7+3=10 ; 10+6=16 |
list_summation | list_summation:right-to-left | 9, 3, 6, 7 | 6+7=13 ; 3+13=16 ; 9+16=25 |
multidigit_addition | multidigit_addition:rounding-decomposition | 312+102 | round:320+102=422 ; adjust:422-8=414 ; sum=414 |
base_conversion | base_conversion:via-binary | n=52,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:0 ; OUT:310 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-54=18 | 9x-54=18 ; x+-6=2 ; x=2--6 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=10 | 2x-6=10 ; 2x=16 ; x=8 |
list_summation | list_summation:pairwise | 8, 1, 0, 5 | 8+1=9 ; 0+5=5 ; 9+5=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 101+596 | round:110+596=706 ; adjust:706-9=697 ; sum=697 |
base_conversion | base_conversion:via-binary | n=89,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:1121 |
base_conversion | base_conversion:decomposition | n=182,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:0*2^0=0 ; OUT:10110110 |
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