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:inverse-ops | 3x+15=27 | 3x+15=27 ; x=(27-15)/3 ; x=12/3 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 2, 7, 8, 4 | [0,8,7,2,4] ; [8,0,7,2,4] ; [8,4,7,2,0] ; [0,4,7,2,8] ; [7,4,0,2,8] ; [2,4,0,7,8] ; [4,2,0,7,8] ; [0,2,4,7,8] ; [2,0,4,7,8] ; [0,2,4,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
base_conversion | base_conversion:decomposition | n=165,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:10100101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 457+510 | d2:7+0+0=7→w7,c0 ; d1:5+1+0=6→w6,c0 ; d0:4+5+0=9→w9,c0 ; sum=967 |
base_conversion | base_conversion:via-binary | n=241,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:1 ; OUT:F1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=122,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1111010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 366+624 | round:370+624=994 ; adjust:994-4=990 ; sum=990 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=4 | 2x-12=4 ; x+-6=2 ; x=2--6 ; x=8 |
list_summation | list_summation:left-to-right | 0, 9, 2, 3 | 0+9=9 ; 9+2=11 ; 11+3=14 |
multidigit_addition | multidigit_addition:right-to-left-carry | 600+474 | d2:0+4+0=4→w4,c0 ; d1:0+7+0=7→w7,c0 ; d0:6+4+0=10→w0,c1 ; sum=1074 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=-9 | 3x-6=-9 ; x+-2=-3 ; x=-3--2 ; x=-1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-24=-15 | 3x-24=-15 ; 3x=9 ; x=3 |
list_summation | list_summation:pairwise | 8, 2, 1, 0 | 8+2=10 ; 1+0=1 ; 10+1=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,4) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 766+684 | d2:6+4+0=10→w0,c1 ; d1:6+8+1=15→w5,c1 ; d0:7+6+1=14→w4,c1 ; sum=1450 |
multidigit_addition | multidigit_addition:rounding-decomposition | 795+432 | round:800+432=1232 ; adjust:1232-5=1227 ; sum=1227 |
multidigit_addition | multidigit_addition:right-to-left-carry | 155+115 | d2:5+5+0=10→w0,c1 ; d1:5+1+1=7→w7,c0 ; d0:1+1+0=2→w2,c0 ; sum=270 |
list_summation | list_summation:right-to-left | 0, 9, 0, 0 | 0+0=0 ; 9+0=9 ; 0+9=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=85 | 5x+45=85 ; 5x=40 ; x=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 970+989 | p100:900+900=1800 ; p10:70+80=150 ; p1:0+9=9 ; sum=1800+150+9=1959 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 2, 0, 1 | [1,4,2,0,7] ; [4,1,2,0,7] ; [0,1,2,4,7] ; [2,1,0,4,7] ; [0,1,2,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-54=-6 | 6x-54=-6 ; 6x=48 ; x=8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 330+356 | p100:300+300=600 ; p10:30+50=80 ; p1:0+6=6 ; sum=600+80+6=686 |
base_conversion | base_conversion:decomposition | n=219,base=16 | TERM:13*16^1=208 ; TERM:11*16^0=11 ; OUT:DB |
list_summation | list_summation:left-to-right | 5, 9, 2, 2 | 5+9=14 ; 14+2=16 ; 16+2=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-27=-54 | 3x-27=-54 ; x+-9=-18 ; x=-18--9 ; x=-9 |
list_summation | list_summation:pairwise | 0, 1, 1, 5 | 0+1=1 ; 1+5=6 ; 1+6=7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 612+379 | p100:600+300=900 ; p10:10+70=80 ; p1:2+9=11 ; sum=900+80+11=991 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 6, 8, 4, 0 | [0,6,8,4,7] ; [0,4,8,6,7] ; [0,4,6,8,7] ; [0,4,6,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 0, 4, 8, 5 | [0,3,4,8,5] ; [0,3,4,5,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=79,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1001111 |
multidigit_addition | multidigit_addition:left-to-right-partials | 663+742 | p100:600+700=1300 ; p10:60+40=100 ; p1:3+2=5 ; sum=1300+100+5=1405 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-18 | 2x-10=-18 ; x+-5=-9 ; x=-9--5 ; x=-4 |
base_conversion | base_conversion:decomposition | n=8,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1000 |
list_summation | list_summation:right-to-left | 8, 1, 8, 4 | 8+4=12 ; 1+12=13 ; 8+13=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 734+298 | round:740+298=1038 ; adjust:1038-6=1032 ; sum=1032 |
list_summation | list_summation:left-to-right | 6, 2, 3, 4 | 6+2=8 ; 8+3=11 ; 11+4=15 |
list_summation | list_summation:left-to-right | 0, 1, 0, 5 | 0+1=1 ; 1+0=1 ; 1+5=6 |
list_summation | list_summation:right-to-left | 9, 6, 1, 9 | 1+9=10 ; 6+10=16 ; 9+16=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 282+167 | p100:200+100=300 ; p10:80+60=140 ; p1:2+7=9 ; sum=300+140+9=449 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(4,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 5, 1, 3, 2 | 5+1=6 ; 3+2=5 ; 6+5=11 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 5, 1, 4, 9 | [5,6,1,4,9] ; [5,1,6,4,9] ; [5,1,4,6,9] ; [1,5,4,6,9] ; [1,4,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 988+106 | round:990+106=1096 ; adjust:1096-2=1094 ; sum=1094 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+9=90 | 9x+9=90 ; x=(90-9)/9 ; x=81/9 ; x=9 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,1) | R:(2,1) ; D:(3,1) |
multidigit_addition | multidigit_addition:rounding-decomposition | 364+954 | round:370+954=1324 ; adjust:1324-6=1318 ; sum=1318 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=45 | 9x+54=45 ; x+6=5 ; x=5-6 ; x=-1 |
multidigit_addition | multidigit_addition:rounding-decomposition | 422+802 | round:430+802=1232 ; adjust:1232-8=1224 ; sum=1224 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(4,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 141+930 | round:150+930=1080 ; adjust:1080-9=1071 ; sum=1071 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 8, 5, 6, 7 | [8,1,5,6,7] ; [8,7,5,6,1] ; [1,7,5,6,8] ; [7,1,5,6,8] ; [7,6,5,1,8] ; [1,6,5,7,8] ; [6,1,5,7,8] ; [5,1,6,7,8] ; [1,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+0=64 | 8x+0=64 ; 8x=64 ; x=8 |
list_summation | list_summation:pairwise | 8, 1, 4, 8 | 8+1=9 ; 4+8=12 ; 9+12=21 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 3, 0, 8, 4 | [3,7,0,8,4] ; [3,0,7,8,4] ; [3,0,7,4,8] ; [0,3,7,4,8] ; [0,3,4,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+49=0 | 7x+49=0 ; 7x=-49 ; x=-7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-40=-70 | 5x-40=-70 ; 5x=-30 ; x=-6 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=223,base=4 | DIV:223/4=55,r:3 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3133 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 9, 2, 7, 1 | [0,9,2,7,1] ; [0,1,2,7,9] ; [0,1,2,7,9] ; [0,1,2,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 458+949 | round:460+949=1409 ; adjust:1409-2=1407 ; sum=1407 |
multidigit_addition | multidigit_addition:right-to-left-carry | 562+701 | d2:2+1+0=3→w3,c0 ; d1:6+0+0=6→w6,c0 ; d0:5+7+0=12→w2,c1 ; sum=1263 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 3, 0, 8, 5 | [0,3,1,8,5] ; [0,1,3,8,5] ; [0,1,3,8,5] ; [0,1,3,5,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=110,base=4 | DIV:110/4=27,r:2 ; DIV:27/4=6,r:3 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1232 |
list_summation | list_summation:right-to-left | 9, 5, 9, 3 | 9+3=12 ; 5+12=17 ; 9+17=26 |
list_summation | list_summation:right-to-left | 5, 1, 2, 5 | 2+5=7 ; 1+7=8 ; 5+8=13 |
list_summation | list_summation:right-to-left | 9, 9, 8, 6 | 8+6=14 ; 9+14=23 ; 9+23=32 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=-66 | 6x-30=-66 ; x=(-66--30)/6 ; x=-36/6 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-21=-28 | 7x-21=-28 ; x+-3=-4 ; x=-4--3 ; x=-1 |
list_summation | list_summation:pairwise | 4, 6, 5, 7 | 4+6=10 ; 5+7=12 ; 10+12=22 |
base_conversion | base_conversion:via-binary | n=88,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:130 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=68,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:4 ; OUT:44 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-16 | 4x-36=-16 ; 4x=20 ; x=5 |
list_summation | list_summation:left-to-right | 0, 0, 6, 5 | 0+0=0 ; 0+6=6 ; 6+5=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 305+919 | p100:300+900=1200 ; p10:0+10=10 ; p1:5+9=14 ; sum=1200+10+14=1224 |
multidigit_addition | multidigit_addition:left-to-right-partials | 202+807 | p100:200+800=1000 ; p10:0+0=0 ; p1:2+7=9 ; sum=1000+0+9=1009 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-24=-4 | 4x-24=-4 ; 4x=20 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+63=21 | 7x+63=21 ; 7x=-42 ; x=-6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 0, 9, 5, 8 | [0,1,9,5,8] ; [0,1,5,9,8] ; [0,1,5,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,3) | R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 459+381 | round:460+381=841 ; adjust:841-1=840 ; sum=840 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=125,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:1331 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=0 | 9x-18=0 ; x=(0--18)/9 ; x=18/9 ; x=2 |
base_conversion | base_conversion:via-binary | n=222,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11011110 |
base_conversion | base_conversion:decomposition | n=184,base=16 | TERM:11*16^1=176 ; TERM:8*16^0=8 ; OUT:B8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 318+604 | d2:8+4+0=12→w2,c1 ; d1:1+0+1=2→w2,c0 ; d0:3+6+0=9→w9,c0 ; sum=922 |
base_conversion | base_conversion:decomposition | n=149,base=16 | TERM:9*16^1=144 ; TERM:5*16^0=5 ; OUT:95 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 5, 7, 9 | [6,9,5,7,1] ; [9,6,5,7,1] ; [9,7,5,6,1] ; [1,7,5,6,9] ; [7,1,5,6,9] ; [7,6,5,1,9] ; [1,6,5,7,9] ; [6,1,5,7,9] ; [5,1,6,7,9] ; [1,5,6,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 729+413 | d2:9+3+0=12→w2,c1 ; d1:2+1+1=4→w4,c0 ; d0:7+4+0=11→w1,c1 ; sum=1142 |
base_conversion | base_conversion:via-binary | n=201,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11001001 |
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