task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 4, 6, 2, 8 | 4+6=10 ; 10+2=12 ; 12+8=20 |
list_summation | list_summation:right-to-left | 0, 1, 8, 7 | 8+7=15 ; 1+15=16 ; 0+16=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 7, 4, 7, 9 | 7+4=11 ; 11+7=18 ; 18+9=27 |
base_conversion | base_conversion:via-binary | n=233,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11101001 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-50 | 5x-45=-50 ; x=(-50--45)/5 ; x=-5/5 ; x=-1 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+42=0 | 7x+42=0 ; x=(0-42)/7 ; x=-42/7 ; x=-6 |
list_summation | list_summation:left-to-right | 7, 7, 5, 8 | 7+7=14 ; 14+5=19 ; 19+8=27 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 0, 8, 4, 9 | [3,9,8,4,0] ; [9,3,8,4,0] ; [9,4,8,3,0] ; [0,4,8,3,9] ; [8,4,0,3,9] ; [3,4,0,8,9] ; [4,3,0,8,9] ; [0,3,4,8,9] ; [3,0,4,8,9] ; [0,3,4,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 3, 1, 7, 9 | [3,8,1,7,9] ; [1,3,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 3, 5, 2 | [8,3,9,5,2] ; [8,3,5,9,2] ; [8,3,5,2,9] ; [3,8,5,2,9] ; [3,5,8,2,9] ; [3,5,2,8,9] ; [3,2,5,8,9] ; [2,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=200,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11001000 |
base_conversion | base_conversion:via-binary | n=17,base=8 | BINLEN:5 ; CHUNK:0:2 ; CHUNK:1:1 ; OUT:21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+24=-6 | 6x+24=-6 ; x=(-6-24)/6 ; x=-30/6 ; x=-5 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 3, 4, 2 | [7,4,3,1,2] ; [2,4,3,1,7] ; [4,2,3,1,7] ; [1,2,3,4,7] ; [3,2,1,4,7] ; [1,2,3,4,7] ; [2,1,3,4,7] ; [1,2,3,4,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 6, 4, 8, 3 | [1,6,4,8,3] ; [1,3,4,8,6] ; [1,3,4,8,6] ; [1,3,4,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 881+942 | p100:800+900=1700 ; p10:80+40=120 ; p1:1+2=3 ; sum=1700+120+3=1823 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 580+303 | p100:500+300=800 ; p10:80+0=80 ; p1:0+3=3 ; sum=800+80+3=883 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 3, 4, 9 | [2,3,4,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=20 | 2x+12=20 ; x+6=10 ; x=10-6 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 294+818 | d2:4+8+0=12→w2,c1 ; d1:9+1+1=11→w1,c1 ; d0:2+8+1=11→w1,c1 ; sum=1112 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-36 | 3x-24=-36 ; x+-8=-12 ; x=-12--8 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=254,base=16 | DIV:254/16=15,r:14 ; DIV:15/16=0,r:15 ; OUT:FE |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; D:(4,2) ; R:(4,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 6, 2, 0 | [1,9,6,2,0] ; [1,6,9,2,0] ; [1,2,6,9,0] ; [0,1,2,6,9] |
base_conversion | base_conversion:repeated-division | n=181,base=4 | DIV:181/4=45,r:1 ; DIV:45/4=11,r:1 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2311 |
base_conversion | base_conversion:via-binary | n=114,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:6 ; CHUNK:2:2 ; OUT:162 |
list_summation | list_summation:right-to-left | 5, 2, 0, 9 | 0+9=9 ; 2+9=11 ; 5+11=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 6, 5, 9 | [4,7,6,5,9] ; [4,6,7,5,9] ; [4,5,6,7,9] ; [4,5,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 576+269 | p100:500+200=700 ; p10:70+60=130 ; p1:6+9=15 ; sum=700+130+15=845 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+24=52 | 4x+24=52 ; 4x=28 ; x=7 |
base_conversion | base_conversion:repeated-division | n=227,base=16 | DIV:227/16=14,r:3 ; DIV:14/16=0,r:14 ; OUT:E3 |
base_conversion | base_conversion:via-binary | n=36,base=8 | BINLEN:6 ; CHUNK:0:4 ; CHUNK:1:4 ; OUT:44 |
base_conversion | base_conversion:decomposition | n=235,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11101011 |
base_conversion | base_conversion:via-binary | n=67,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1003 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+32=60 | 4x+32=60 ; 4x=28 ; x=7 |
list_summation | list_summation:pairwise | 6, 1, 2, 8 | 6+1=7 ; 2+8=10 ; 7+10=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 8, 5, 4, 6 | [0,8,5,4,6] ; [0,4,5,8,6] ; [0,4,5,8,6] ; [0,4,5,6,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 0, 8, 9 | [6,9,0,8,5] ; [9,6,0,8,5] ; [9,8,0,6,5] ; [5,8,0,6,9] ; [8,5,0,6,9] ; [8,6,0,5,9] ; [5,6,0,8,9] ; [6,5,0,8,9] ; [0,5,6,8,9] ; [5,0,6,8,9] ; [0,5,6,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 5, 4, 1 | [7,9,5,4,1] ; [5,7,9,4,1] ; [4,5,7,9,1] ; [1,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=99,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1100011 |
base_conversion | base_conversion:decomposition | n=203,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; 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:1*2^0=1 ; OUT:11001011 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 7, 4, 9, 3 | [3,7,4,9,8] ; [3,4,7,9,8] ; [3,4,7,9,8] ; [3,4,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 527+148 | d2:7+8+0=15→w5,c1 ; d1:2+4+1=7→w7,c0 ; d0:5+1+0=6→w6,c0 ; sum=675 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 4, 8, 9 | [2,7,4,8,9] ; [2,4,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 0, 1, 2 | [0,1,4,8,2] ; [0,1,2,4,8] |
list_summation | list_summation:pairwise | 3, 8, 0, 6 | 3+8=11 ; 0+6=6 ; 11+6=17 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 0, 5, 4, 9 | 0+5=5 ; 4+9=13 ; 5+13=18 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,5) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 5, 1, 8, 0 | 5+1=6 ; 6+8=14 ; 14+0=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=8 | 2x-4=8 ; x+-2=4 ; x=4--2 ; x=6 |
base_conversion | base_conversion:via-binary | n=3,base=8 | BINLEN:2 ; CHUNK:0:3 ; OUT:3 |
base_conversion | base_conversion:decomposition | n=225,base=16 | TERM:14*16^1=224 ; TERM:1*16^0=1 ; OUT:E1 |
list_summation | list_summation:right-to-left | 9, 1, 0, 6 | 0+6=6 ; 1+6=7 ; 9+7=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=-14 | 7x+49=-14 ; 7x=-63 ; x=-9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 163+253 | round:170+253=423 ; adjust:423-7=416 ; sum=416 |
multidigit_addition | multidigit_addition:rounding-decomposition | 651+187 | round:660+187=847 ; adjust:847-9=838 ; sum=838 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-32=-52 | 4x-32=-52 ; x+-8=-13 ; x=-13--8 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 699+405 | p100:600+400=1000 ; p10:90+0=90 ; p1:9+5=14 ; sum=1000+90+14=1104 |
base_conversion | base_conversion:via-binary | n=111,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1101111 |
multidigit_addition | multidigit_addition:right-to-left-carry | 258+698 | d2:8+8+0=16→w6,c1 ; d1:5+9+1=15→w5,c1 ; d0:2+6+1=9→w9,c0 ; sum=956 |
multidigit_addition | multidigit_addition:right-to-left-carry | 561+751 | d2:1+1+0=2→w2,c0 ; d1:6+5+0=11→w1,c1 ; d0:5+7+1=13→w3,c1 ; sum=1312 |
list_summation | list_summation:right-to-left | 4, 7, 3, 1 | 3+1=4 ; 7+4=11 ; 4+11=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 181+709 | round:190+709=899 ; adjust:899-9=890 ; sum=890 |
base_conversion | base_conversion:repeated-division | n=134,base=4 | DIV:134/4=33,r:2 ; DIV:33/4=8,r:1 ; DIV:8/4=2,r:0 ; DIV:2/4=0,r:2 ; OUT:2012 |
base_conversion | base_conversion:repeated-division | n=124,base=8 | DIV:124/8=15,r:4 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:174 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 6, 0, 9 | [4,9,6,0,7] ; [9,4,6,0,7] ; [9,7,6,0,4] ; [4,7,6,0,9] ; [7,4,6,0,9] ; [0,4,6,7,9] ; [6,4,0,7,9] ; [0,4,6,7,9] ; [4,0,6,7,9] ; [0,4,6,7,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 5, 0, 4 | [7,8,5,0,4] ; [5,7,8,0,4] ; [0,5,7,8,4] ; [0,4,5,7,8] |
list_summation | list_summation:pairwise | 9, 1, 4, 1 | 9+1=10 ; 4+1=5 ; 10+5=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) |
list_summation | list_summation:left-to-right | 4, 0, 8, 6 | 4+0=4 ; 4+8=12 ; 12+6=18 |
base_conversion | base_conversion:via-binary | n=132,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:4 ; OUT:204 |
base_conversion | base_conversion:repeated-division | n=187,base=8 | DIV:187/8=23,r:3 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:273 |
multidigit_addition | multidigit_addition:left-to-right-partials | 258+566 | p100:200+500=700 ; p10:50+60=110 ; p1:8+6=14 ; sum=700+110+14=824 |
multidigit_addition | multidigit_addition:right-to-left-carry | 946+784 | d2:6+4+0=10→w0,c1 ; d1:4+8+1=13→w3,c1 ; d0:9+7+1=17→w7,c1 ; sum=1730 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,3) | R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:left-to-right | 0, 7, 1, 2 | 0+7=7 ; 7+1=8 ; 8+2=10 |
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) |
base_conversion | base_conversion:decomposition | n=120,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:1320 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-126 | 9x-81=-126 ; 9x=-45 ; x=-5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-15=5 | 5x-15=5 ; x=(5--15)/5 ; x=20/5 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-12=-44 | 4x-12=-44 ; x=(-44--12)/4 ; x=-32/4 ; x=-8 |
list_summation | list_summation:right-to-left | 1, 7, 4, 6 | 4+6=10 ; 7+10=17 ; 1+17=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 7, 9, 4 | [2,3,7,9,4] ; [2,3,4,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 986+921 | p100:900+900=1800 ; p10:80+20=100 ; p1:6+1=7 ; sum=1800+100+7=1907 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 5, 3, 6, 4 | [0,6,3,5,4] ; [6,0,3,5,4] ; [6,5,3,0,4] ; [4,5,3,0,6] ; [5,4,3,0,6] ; [0,4,3,5,6] ; [4,0,3,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
base_conversion | base_conversion:decomposition | n=33,base=4 | TERM:2*4^2=32 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:201 |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:via-binary | n=181,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:2311 |
multidigit_addition | multidigit_addition:left-to-right-partials | 134+387 | p100:100+300=400 ; p10:30+80=110 ; p1:4+7=11 ; sum=400+110+11=521 |
base_conversion | base_conversion:decomposition | n=249,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11111001 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 8, 0, 3, 2 | [0,3,4,8,2] ; [0,2,3,4,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 276+968 | p100:200+900=1100 ; p10:70+60=130 ; p1:6+8=14 ; sum=1100+130+14=1244 |
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