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 | 9x+81=108 | 9x+81=108 ; 9x=27 ; x=3 |
base_conversion | base_conversion:repeated-division | n=215,base=16 | DIV:215/16=13,r:7 ; DIV:13/16=0,r:13 ; OUT:D7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 489+367 | p100:400+300=700 ; p10:80+60=140 ; p1:9+7=16 ; sum=700+140+16=856 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=16 | 4x+28=16 ; x=(16-28)/4 ; x=-12/4 ; x=-3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 104+939 | round:110+939=1049 ; adjust:1049-6=1043 ; sum=1043 |
multidigit_addition | multidigit_addition:left-to-right-partials | 294+191 | p100:200+100=300 ; p10:90+90=180 ; p1:4+1=5 ; sum=300+180+5=485 |
multidigit_addition | multidigit_addition:right-to-left-carry | 400+868 | d2:0+8+0=8→w8,c0 ; d1:0+6+0=6→w6,c0 ; d0:4+8+0=12→w2,c1 ; sum=1268 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 0, 6, 3, 7 | [0,8,6,3,7] ; [0,6,8,3,7] ; [0,6,3,8,7] ; [0,6,3,7,8] ; [0,3,6,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 0, 2, 8 | [0,4,7,2,8] ; [0,2,7,4,8] ; [0,2,4,7,8] ; [0,2,4,7,8] |
base_conversion | base_conversion:repeated-division | n=172,base=2 | DIV:172/2=86,r:0 ; DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; 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:10101100 |
base_conversion | base_conversion:repeated-division | n=165,base=2 | DIV:165/2=82,r:1 ; DIV:82/2=41,r:0 ; 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:10100101 |
multidigit_addition | multidigit_addition:left-to-right-partials | 407+926 | p100:400+900=1300 ; p10:0+20=20 ; p1:7+6=13 ; sum=1300+20+13=1333 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 9, 6, 2 | [0,3,9,6,2] ; [0,3,6,9,2] ; [0,2,3,6,9] |
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) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 5, 2, 9 | [4,9,5,2,6] ; [9,4,5,2,6] ; [9,6,5,2,4] ; [4,6,5,2,9] ; [6,4,5,2,9] ; [2,4,5,6,9] ; [5,4,2,6,9] ; [2,4,5,6,9] ; [4,2,5,6,9] ; [2,4,5,6,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 1, 8, 9, 4 | [3,9,8,1,4] ; [9,3,8,1,4] ; [9,4,8,1,3] ; [3,4,8,1,9] ; [8,4,3,1,9] ; [1,4,3,8,9] ; [4,1,3,8,9] ; [3,1,4,8,9] ; [1,3,4,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 989+168 | d2:9+8+0=17→w7,c1 ; d1:8+6+1=15→w5,c1 ; d0:9+1+1=11→w1,c1 ; sum=1157 |
multidigit_addition | multidigit_addition:right-to-left-carry | 344+459 | d2:4+9+0=13→w3,c1 ; d1:4+5+1=10→w0,c1 ; d0:3+4+1=8→w8,c0 ; sum=803 |
multidigit_addition | multidigit_addition:left-to-right-partials | 873+447 | p100:800+400=1200 ; p10:70+40=110 ; p1:3+7=10 ; sum=1200+110+10=1320 |
multidigit_addition | multidigit_addition:left-to-right-partials | 993+847 | p100:900+800=1700 ; p10:90+40=130 ; p1:3+7=10 ; sum=1700+130+10=1840 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+18=-9 | 9x+18=-9 ; x=(-9-18)/9 ; x=-27/9 ; x=-3 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 1, 5, 9 | [6,9,1,5,3] ; [9,6,1,5,3] ; [3,6,1,5,9] ; [6,3,1,5,9] ; [6,5,1,3,9] ; [3,5,1,6,9] ; [5,3,1,6,9] ; [1,3,5,6,9] ; [3,1,5,6,9] ; [1,3,5,6,9] |
list_summation | list_summation:pairwise | 4, 7, 6, 1 | 4+7=11 ; 6+1=7 ; 11+7=18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 1, 7, 0 | [5,9,1,7,0] ; [5,1,9,7,0] ; [5,1,7,9,0] ; [5,1,7,0,9] ; [1,5,7,0,9] ; [1,5,0,7,9] ; [1,0,5,7,9] ; [0,1,5,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 169+991 | d2:9+1+0=10→w0,c1 ; d1:6+9+1=16→w6,c1 ; d0:1+9+1=11→w1,c1 ; sum=1160 |
base_conversion | base_conversion:via-binary | n=115,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1303 |
list_summation | list_summation:left-to-right | 6, 3, 9, 4 | 6+3=9 ; 9+9=18 ; 18+4=22 |
list_summation | list_summation:right-to-left | 4, 1, 5, 2 | 5+2=7 ; 1+7=8 ; 4+8=12 |
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) |
base_conversion | base_conversion:decomposition | n=33,base=2 | TERM:1*2^5=32 ; 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:100001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+30=5 | 5x+30=5 ; x+6=1 ; x=1-6 ; x=-5 |
list_summation | list_summation:pairwise | 0, 6, 9, 2 | 0+6=6 ; 9+2=11 ; 6+11=17 |
list_summation | list_summation:right-to-left | 0, 7, 6, 3 | 6+3=9 ; 7+9=16 ; 0+16=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 6, 2, 0, 0 | 0+0=0 ; 2+0=2 ; 6+2=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 8, 4, 1 | [6,7,8,4,1] ; [6,7,4,8,1] ; [6,7,4,1,8] ; [6,4,7,1,8] ; [6,4,1,7,8] ; [4,6,1,7,8] ; [4,1,6,7,8] ; [1,4,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+54=72 | 9x+54=72 ; 9x=18 ; x=2 |
list_summation | list_summation:left-to-right | 7, 9, 7, 9 | 7+9=16 ; 16+7=23 ; 23+9=32 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 1, 3, 5 | [0,1,7,3,5] ; [0,1,3,7,5] ; [0,1,3,5,7] |
base_conversion | base_conversion:decomposition | n=138,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10001010 |
list_summation | list_summation:left-to-right | 0, 0, 5, 4 | 0+0=0 ; 0+5=5 ; 5+4=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 1, 5, 6, 9 | [1,2,5,6,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=0 | 6x+36=0 ; 6x=-36 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 181+870 | p100:100+800=900 ; p10:80+70=150 ; p1:1+0=1 ; sum=900+150+1=1051 |
list_summation | list_summation:pairwise | 8, 7, 2, 0 | 8+7=15 ; 2+0=2 ; 15+2=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=40 | 4x+12=40 ; x+3=10 ; x=10-3 ; x=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 3, 5, 2, 4 | [3,7,5,2,4] ; [3,5,7,2,4] ; [2,3,5,7,4] ; [2,3,4,5,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=-10 | 5x+0=-10 ; 5x=-10 ; x=-2 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+2=10 | 2x+2=10 ; x=(10-2)/2 ; x=8/2 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 352+737 | round:360+737=1097 ; adjust:1097-8=1089 ; sum=1089 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 6, 8, 2 | [1,4,6,8,2] ; [1,2,6,8,4] ; [1,2,4,8,6] ; [1,2,4,6,8] |
base_conversion | base_conversion:repeated-division | n=188,base=16 | DIV:188/16=11,r:12 ; DIV:11/16=0,r:11 ; OUT:BC |
base_conversion | base_conversion:via-binary | n=247,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11110111 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 4, 6, 3 | [1,2,4,6,3] ; [1,2,4,3,6] ; [1,2,3,4,6] |
multidigit_addition | multidigit_addition:right-to-left-carry | 265+784 | d2:5+4+0=9→w9,c0 ; d1:6+8+0=14→w4,c1 ; d0:2+7+1=10→w0,c1 ; sum=1049 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 4, 7, 4, 8 | 4+8=12 ; 7+12=19 ; 4+19=23 |
list_summation | list_summation:left-to-right | 8, 1, 6, 0 | 8+1=9 ; 9+6=15 ; 15+0=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 5, 0, 7, 1 | [5,8,0,7,1] ; [0,5,7,8,1] ; [0,1,5,7,8] |
base_conversion | base_conversion:decomposition | n=76,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1030 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 6, 2, 7, 4 | [6,9,2,7,4] ; [2,6,7,9,4] ; [2,4,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 496+423 | round:500+423=923 ; adjust:923-4=919 ; sum=919 |
list_summation | list_summation:pairwise | 0, 1, 5, 1 | 0+1=1 ; 5+1=6 ; 1+6=7 |
list_summation | list_summation:right-to-left | 6, 2, 3, 2 | 3+2=5 ; 2+5=7 ; 6+7=13 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 3, 2, 7, 0 | [3,6,2,7,0] ; [3,2,6,7,0] ; [3,2,6,0,7] ; [2,3,6,0,7] ; [2,3,0,6,7] ; [2,0,3,6,7] ; [0,2,3,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 923+751 | d2:3+1+0=4→w4,c0 ; d1:2+5+0=7→w7,c0 ; d0:9+7+0=16→w6,c1 ; sum=1674 |
base_conversion | base_conversion:repeated-division | n=68,base=4 | DIV:68/4=17,r:0 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 1, 5, 3, 4 | [1,6,5,3,4] ; [1,5,6,3,4] ; [1,5,3,6,4] ; [1,5,3,4,6] ; [1,3,5,4,6] ; [1,3,4,5,6] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-8=64 | 8x-8=64 ; 8x=72 ; x=9 |
base_conversion | base_conversion:decomposition | n=19,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:10011 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+12=-6 | 3x+12=-6 ; x+4=-2 ; x=-2-4 ; x=-6 |
list_summation | list_summation:left-to-right | 8, 3, 4, 7 | 8+3=11 ; 11+4=15 ; 15+7=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 158+362 | d2:8+2+0=10→w0,c1 ; d1:5+6+1=12→w2,c1 ; d0:1+3+1=5→w5,c0 ; sum=520 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 7, 6, 0 | [0,8,7,6,4] ; [0,4,7,6,8] ; [0,4,6,7,8] ; [0,4,6,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-30 | 3x-15=-30 ; x+-5=-10 ; x=-10--5 ; x=-5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 3, 2, 7 | [0,9,3,2,7] ; [0,3,9,2,7] ; [0,3,2,9,7] ; [0,3,2,7,9] ; [0,2,3,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-20=-52 | 4x-20=-52 ; x=(-52--20)/4 ; x=-32/4 ; x=-8 |
base_conversion | base_conversion:via-binary | n=100,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:4 ; OUT:144 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-4=-16 | 4x-4=-16 ; x=(-16--4)/4 ; x=-12/4 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=7,base=2 | DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+72=120 | 8x+72=120 ; 8x=48 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 149+761 | p100:100+700=800 ; p10:40+60=100 ; p1:9+1=10 ; sum=800+100+10=910 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-8=-32 | 8x-8=-32 ; 8x=-24 ; x=-3 |
base_conversion | base_conversion:decomposition | n=164,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:244 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-42=-18 | 6x-42=-18 ; x+-7=-3 ; x=-3--7 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 772+402 | d2:2+2+0=4→w4,c0 ; d1:7+0+0=7→w7,c0 ; d0:7+4+0=11→w1,c1 ; sum=1174 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=90 | 6x+48=90 ; x+8=15 ; x=15-8 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,3) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 223+402 | round:230+402=632 ; adjust:632-7=625 ; sum=625 |
base_conversion | base_conversion:repeated-division | n=78,base=16 | DIV:78/16=4,r:14 ; DIV:4/16=0,r:4 ; OUT:4E |
base_conversion | base_conversion:repeated-division | n=177,base=8 | DIV:177/8=22,r:1 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:261 |
base_conversion | base_conversion:repeated-division | n=196,base=8 | DIV:196/8=24,r:4 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:304 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 3, 6, 9, 8 | [0,3,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 9, 5, 3 | [6,7,9,5,3] ; [6,7,9,5,3] ; [5,6,7,9,3] ; [3,5,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 8, 4, 7, 1 | [0,8,4,7,1] ; [0,4,8,7,1] ; [0,4,7,8,1] ; [0,1,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,4) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
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