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 | 4x-8=-36 | 4x-8=-36 ; 4x=-28 ; x=-7 |
base_conversion | base_conversion:decomposition | n=56,base=16 | TERM:3*16^1=48 ; TERM:8*16^0=8 ; OUT:38 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 2, 7, 4, 3 | [1,2,4,7,3] ; [1,2,3,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+18=48 | 6x+18=48 ; x+3=8 ; x=8-3 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+56=56 | 7x+56=56 ; x+8=8 ; x=8-8 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+45=30 | 5x+45=30 ; x+9=6 ; x=6-9 ; x=-3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
base_conversion | base_conversion:via-binary | n=178,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:10110010 |
list_summation | list_summation:left-to-right | 5, 5, 7, 2 | 5+5=10 ; 10+7=17 ; 17+2=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+6=-2 | 2x+6=-2 ; x+3=-1 ; x=-1-3 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=28 | 7x+35=28 ; x=(28-35)/7 ; x=-7/7 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:decomposition | n=111,base=16 | TERM:6*16^1=96 ; TERM:15*16^0=15 ; OUT:6F |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 4, 8, 5, 9 | [4,7,8,5,9] ; [4,7,5,8,9] ; [4,5,7,8,9] |
base_conversion | base_conversion:via-binary | n=89,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1011001 |
list_summation | list_summation:right-to-left | 6, 4, 2, 7 | 2+7=9 ; 4+9=13 ; 6+13=19 |
base_conversion | base_conversion:repeated-division | n=239,base=16 | DIV:239/16=14,r:15 ; DIV:14/16=0,r:14 ; OUT:EF |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+35=55 | 5x+35=55 ; x+7=11 ; x=11-7 ; x=4 |
list_summation | list_summation:left-to-right | 2, 4, 4, 8 | 2+4=6 ; 6+4=10 ; 10+8=18 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=30 | 2x+18=30 ; x=(30-18)/2 ; x=12/2 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 482+717 | p100:400+700=1100 ; p10:80+10=90 ; p1:2+7=9 ; sum=1100+90+9=1199 |
multidigit_addition | multidigit_addition:rounding-decomposition | 426+521 | round:430+521=951 ; adjust:951-4=947 ; sum=947 |
base_conversion | base_conversion:via-binary | n=1,base=8 | BINLEN:1 ; CHUNK:0:1 ; OUT:1 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 3, 6, 4, 8 | [3,5,6,4,8] ; [3,5,4,6,8] ; [3,4,5,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 3, 7, 5, 0 | [3,6,7,5,0] ; [3,6,5,7,0] ; [3,5,6,7,0] ; [0,3,5,6,7] |
list_summation | list_summation:left-to-right | 4, 3, 9, 1 | 4+3=7 ; 7+9=16 ; 16+1=17 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-24=-54 | 6x-24=-54 ; x+-4=-9 ; x=-9--4 ; x=-5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 6, 8, 4, 8 | 6+8=14 ; 4+8=12 ; 14+12=26 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 5, 1, 2 | [4,5,6,1,2] ; [4,5,1,6,2] ; [4,5,1,2,6] ; [4,1,5,2,6] ; [4,1,2,5,6] ; [1,4,2,5,6] ; [1,2,4,5,6] |
list_summation | list_summation:left-to-right | 7, 0, 6, 1 | 7+0=7 ; 7+6=13 ; 13+1=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 2, 3, 0 | [0,4,2,3,7] ; [4,0,2,3,7] ; [4,3,2,0,7] ; [0,3,2,4,7] ; [3,0,2,4,7] ; [2,0,3,4,7] ; [0,2,3,4,7] |
list_summation | list_summation:pairwise | 9, 9, 0, 5 | 9+9=18 ; 0+5=5 ; 18+5=23 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 9, 4, 2 | [9,8,5,4,2] ; [2,8,5,4,9] ; [8,2,5,4,9] ; [8,4,5,2,9] ; [2,4,5,8,9] ; [5,4,2,8,9] ; [2,4,5,8,9] ; [4,2,5,8,9] ; [2,4,5,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=250,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11111010 |
base_conversion | base_conversion:repeated-division | n=89,base=4 | DIV:89/4=22,r:1 ; DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1121 |
multidigit_addition | multidigit_addition:right-to-left-carry | 842+748 | d2:2+8+0=10→w0,c1 ; d1:4+4+1=9→w9,c0 ; d0:8+7+0=15→w5,c1 ; sum=1590 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 0, 5, 4, 3 | [0,9,5,4,3] ; [0,5,9,4,3] ; [0,5,4,9,3] ; [0,5,4,3,9] ; [0,4,5,3,9] ; [0,4,3,5,9] ; [0,3,4,5,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:left-to-right-partials | 923+897 | p100:900+800=1700 ; p10:20+90=110 ; p1:3+7=10 ; sum=1700+110+10=1820 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=-50 | 5x-5=-50 ; x=(-50--5)/5 ; x=-45/5 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-9=-9 | 3x-9=-9 ; 3x=0 ; x=0 |
base_conversion | base_conversion:repeated-division | n=107,base=4 | DIV:107/4=26,r:3 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1223 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+6=12 | 6x+6=12 ; 6x=6 ; x=1 |
list_summation | list_summation:left-to-right | 0, 9, 7, 4 | 0+9=9 ; 9+7=16 ; 16+4=20 |
base_conversion | base_conversion:decomposition | n=39,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:100111 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 7, 2, 6, 3 | [7,9,2,6,3] ; [7,2,9,6,3] ; [7,2,6,9,3] ; [7,2,6,3,9] ; [2,7,6,3,9] ; [2,6,7,3,9] ; [2,6,3,7,9] ; [2,3,6,7,9] |
base_conversion | base_conversion:decomposition | n=123,base=2 | 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:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1111011 |
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:via-binary | n=70,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:6 ; OUT:106 |
base_conversion | base_conversion:decomposition | n=70,base=16 | TERM:4*16^1=64 ; TERM:6*16^0=6 ; OUT:46 |
list_summation | list_summation:pairwise | 0, 4, 1, 4 | 0+4=4 ; 1+4=5 ; 4+5=9 |
base_conversion | base_conversion:decomposition | n=197,base=8 | TERM:3*8^2=192 ; TERM:0*8^1=0 ; TERM:5*8^0=5 ; OUT:305 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=-40 | 8x+0=-40 ; x=(-40-0)/8 ; x=-40/8 ; x=-5 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 1, 4, 7, 5 | [1,3,4,7,5] ; [1,3,4,7,5] ; [1,3,4,7,5] ; [1,3,4,5,7] |
list_summation | list_summation:pairwise | 9, 3, 2, 3 | 9+3=12 ; 2+3=5 ; 12+5=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 552+441 | round:560+441=1001 ; adjust:1001-8=993 ; sum=993 |
list_summation | list_summation:left-to-right | 5, 4, 5, 1 | 5+4=9 ; 9+5=14 ; 14+1=15 |
base_conversion | base_conversion:decomposition | n=23,base=4 | TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:3*4^0=3 ; OUT:113 |
base_conversion | base_conversion:via-binary | n=227,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100011 |
multidigit_addition | multidigit_addition:left-to-right-partials | 113+599 | p100:100+500=600 ; p10:10+90=100 ; p1:3+9=12 ; sum=600+100+12=712 |
list_summation | list_summation:left-to-right | 1, 3, 5, 8 | 1+3=4 ; 4+5=9 ; 9+8=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 116+419 | p100:100+400=500 ; p10:10+10=20 ; p1:6+9=15 ; sum=500+20+15=535 |
list_summation | list_summation:left-to-right | 7, 1, 9, 2 | 7+1=8 ; 8+9=17 ; 17+2=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-5=10 | 5x-5=10 ; x+-1=2 ; x=2--1 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 9, 5, 2, 6 | 2+6=8 ; 5+8=13 ; 9+13=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 487+375 | d2:7+5+0=12→w2,c1 ; d1:8+7+1=16→w6,c1 ; d0:4+3+1=8→w8,c0 ; sum=862 |
base_conversion | base_conversion:decomposition | n=149,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:5*8^0=5 ; OUT:225 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-12=-8 | 4x-12=-8 ; x+-3=-2 ; x=-2--3 ; x=1 |
list_summation | list_summation:left-to-right | 1, 2, 7, 4 | 1+2=3 ; 3+7=10 ; 10+4=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 119+268 | d2:9+8+0=17→w7,c1 ; d1:1+6+1=8→w8,c0 ; d0:1+2+0=3→w3,c0 ; sum=387 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 7, 4, 3 | [8,4,7,2,3] ; [3,4,7,2,8] ; [7,4,3,2,8] ; [2,4,3,7,8] ; [4,2,3,7,8] ; [3,2,4,7,8] ; [2,3,4,7,8] |
list_summation | list_summation:right-to-left | 2, 5, 2, 6 | 2+6=8 ; 5+8=13 ; 2+13=15 |
base_conversion | base_conversion:decomposition | n=113,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1110001 |
multidigit_addition | multidigit_addition:rounding-decomposition | 128+975 | round:130+975=1105 ; adjust:1105-2=1103 ; sum=1103 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,5) | R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 732+108 | d2:2+8+0=10→w0,c1 ; d1:3+0+1=4→w4,c0 ; d0:7+1+0=8→w8,c0 ; sum=840 |
base_conversion | base_conversion:decomposition | n=70,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1000110 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 3, 0, 6, 1 | [3,9,0,6,1] ; [0,3,6,9,1] ; [0,1,3,6,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(1,4) | D:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+30=-18 | 6x+30=-18 ; 6x=-48 ; x=-8 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 4, 9, 2, 7 | [3,7,9,2,4] ; [9,7,3,2,4] ; [4,7,3,2,9] ; [7,4,3,2,9] ; [2,4,3,7,9] ; [4,2,3,7,9] ; [3,2,4,7,9] ; [2,3,4,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 950+410 | round:950+410=1360 ; adjust:1360-0=1360 ; sum=1360 |
multidigit_addition | multidigit_addition:right-to-left-carry | 604+498 | d2:4+8+0=12→w2,c1 ; d1:0+9+1=10→w0,c1 ; d0:6+4+1=11→w1,c1 ; sum=1102 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 7, 3, 1 | [0,4,7,3,1] ; [0,4,7,3,1] ; [0,3,4,7,1] ; [0,1,3,4,7] |
list_summation | list_summation:left-to-right | 3, 7, 0, 8 | 3+7=10 ; 10+0=10 ; 10+8=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 405+188 | d2:5+8+0=13→w3,c1 ; d1:0+8+1=9→w9,c0 ; d0:4+1+0=5→w5,c0 ; sum=593 |
multidigit_addition | multidigit_addition:right-to-left-carry | 965+894 | d2:5+4+0=9→w9,c0 ; d1:6+9+0=15→w5,c1 ; d0:9+8+1=18→w8,c1 ; sum=1859 |
base_conversion | base_conversion:via-binary | n=181,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:5 ; OUT:265 |
list_summation | list_summation:left-to-right | 6, 3, 1, 1 | 6+3=9 ; 9+1=10 ; 10+1=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 5, 0, 6, 0 | 5+0=5 ; 6+0=6 ; 5+6=11 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 2, 1, 9, 4 | [1,2,7,9,4] ; [1,2,7,9,4] ; [1,2,4,9,7] ; [1,2,4,7,9] |
base_conversion | base_conversion:decomposition | n=252,base=16 | TERM:15*16^1=240 ; TERM:12*16^0=12 ; OUT:FC |
multidigit_addition | multidigit_addition:left-to-right-partials | 677+981 | p100:600+900=1500 ; p10:70+80=150 ; p1:7+1=8 ; sum=1500+150+8=1658 |
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) |
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