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:divide-then-subtract | 2x+8=18 | 2x+8=18 ; x+4=9 ; x=9-4 ; x=5 |
multidigit_addition | multidigit_addition:rounding-decomposition | 143+674 | round:150+674=824 ; adjust:824-7=817 ; sum=817 |
base_conversion | base_conversion:decomposition | n=100,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:1210 |
multidigit_addition | multidigit_addition:rounding-decomposition | 381+443 | round:390+443=833 ; adjust:833-9=824 ; sum=824 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=-20 | 5x+15=-20 ; x=(-20-15)/5 ; x=-35/5 ; x=-7 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-27 | 3x-24=-27 ; x+-8=-9 ; x=-9--8 ; x=-1 |
base_conversion | base_conversion:repeated-division | n=33,base=8 | DIV:33/8=4,r:1 ; DIV:4/8=0,r:4 ; OUT:41 |
multidigit_addition | multidigit_addition:right-to-left-carry | 627+489 | d2:7+9+0=16→w6,c1 ; d1:2+8+1=11→w1,c1 ; d0:6+4+1=11→w1,c1 ; sum=1116 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-56=-21 | 7x-56=-21 ; x=(-21--56)/7 ; x=35/7 ; x=5 |
list_summation | list_summation:pairwise | 9, 8, 3, 9 | 9+8=17 ; 3+9=12 ; 17+12=29 |
multidigit_addition | multidigit_addition:right-to-left-carry | 114+428 | d2:4+8+0=12→w2,c1 ; d1:1+2+1=4→w4,c0 ; d0:1+4+0=5→w5,c0 ; sum=542 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=-6 | 3x+21=-6 ; x+7=-2 ; x=-2-7 ; x=-9 |
list_summation | list_summation:pairwise | 4, 3, 8, 6 | 4+3=7 ; 8+6=14 ; 7+14=21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-9=-30 | 3x-9=-30 ; 3x=-21 ; x=-7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 2, 8, 4 | [6,7,2,8,4] ; [2,6,7,8,4] ; [2,6,7,8,4] ; [2,4,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,1) | R:(0,1) ; D:(1,1) ; D:(2,1) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=44,base=8 | BINLEN:6 ; CHUNK:0:5 ; CHUNK:1:4 ; OUT:54 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-81=-117 | 9x-81=-117 ; 9x=-36 ; x=-4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-20 | 5x-20=-20 ; x+-4=-4 ; x=-4--4 ; x=0 |
base_conversion | base_conversion:decomposition | n=12,base=8 | TERM:1*8^1=8 ; TERM:4*8^0=4 ; OUT:14 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 5, 3, 1, 8 | [5,7,3,1,8] ; [5,3,7,1,8] ; [5,3,1,7,8] ; [3,5,1,7,8] ; [3,1,5,7,8] ; [1,3,5,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-48=-54 | 6x-48=-54 ; x=(-54--48)/6 ; x=-6/6 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 518+652 | p100:500+600=1100 ; p10:10+50=60 ; p1:8+2=10 ; sum=1100+60+10=1170 |
list_summation | list_summation:pairwise | 4, 3, 7, 7 | 4+3=7 ; 7+7=14 ; 7+14=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,4) | D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 227+921 | p100:200+900=1100 ; p10:20+20=40 ; p1:7+1=8 ; sum=1100+40+8=1148 |
multidigit_addition | multidigit_addition:right-to-left-carry | 974+536 | d2:4+6+0=10→w0,c1 ; d1:7+3+1=11→w1,c1 ; d0:9+5+1=15→w5,c1 ; sum=1510 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=0 | 2x+18=0 ; x=(0-18)/2 ; x=-18/2 ; x=-9 |
base_conversion | base_conversion:via-binary | n=54,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:110110 |
list_summation | list_summation:left-to-right | 3, 9, 7, 5 | 3+9=12 ; 12+7=19 ; 19+5=24 |
list_summation | list_summation:right-to-left | 4, 8, 1, 9 | 1+9=10 ; 8+10=18 ; 4+18=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 5, 3, 9 | [0,6,5,3,9] ; [0,6,3,5,9] ; [0,3,5,6,9] |
base_conversion | base_conversion:via-binary | n=110,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:14 ; OUT:6E |
multidigit_addition | multidigit_addition:left-to-right-partials | 872+282 | p100:800+200=1000 ; p10:70+80=150 ; p1:2+2=4 ; sum=1000+150+4=1154 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; R:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,3) | R:(1,2) ; R:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=36 | 4x+12=36 ; x+3=9 ; x=9-3 ; x=6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 357+515 | p100:300+500=800 ; p10:50+10=60 ; p1:7+5=12 ; sum=800+60+12=872 |
base_conversion | base_conversion:via-binary | n=254,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:14 ; OUT:FE |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=15 | 5x+10=15 ; 5x=5 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 8, 1, 9 | [6,9,8,1,2] ; [9,6,8,1,2] ; [2,6,8,1,9] ; [8,6,2,1,9] ; [1,6,2,8,9] ; [6,1,2,8,9] ; [2,1,6,8,9] ; [1,2,6,8,9] |
list_summation | list_summation:right-to-left | 5, 5, 0, 0 | 0+0=0 ; 5+0=5 ; 5+5=10 |
base_conversion | base_conversion:decomposition | n=35,base=2 | 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:100011 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,2) | D:(4,1) ; D:(5,1) ; R:(5,2) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 4, 6, 0 | [3,4,8,6,0] ; [3,4,6,8,0] ; [3,4,6,0,8] ; [3,4,0,6,8] ; [3,0,4,6,8] ; [0,3,4,6,8] |
base_conversion | base_conversion:decomposition | n=85,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1010101 |
base_conversion | base_conversion:decomposition | n=241,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:1*8^0=1 ; OUT:361 |
multidigit_addition | multidigit_addition:rounding-decomposition | 881+443 | round:890+443=1333 ; adjust:1333-9=1324 ; sum=1324 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 8, 3, 6 | [9,7,8,3,6] ; [6,7,8,3,9] ; [8,7,6,3,9] ; [3,7,6,8,9] ; [7,3,6,8,9] ; [6,3,7,8,9] ; [3,6,7,8,9] |
base_conversion | base_conversion:decomposition | n=225,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:1*8^0=1 ; OUT:341 |
list_summation | list_summation:left-to-right | 8, 1, 6, 0 | 8+1=9 ; 9+6=15 ; 15+0=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 715+680 | d2:5+0+0=5→w5,c0 ; d1:1+8+0=9→w9,c0 ; d0:7+6+0=13→w3,c1 ; sum=1395 |
list_summation | list_summation:pairwise | 4, 3, 6, 4 | 4+3=7 ; 6+4=10 ; 7+10=17 |
base_conversion | base_conversion:repeated-division | n=32,base=8 | DIV:32/8=4,r:0 ; DIV:4/8=0,r:4 ; OUT:40 |
base_conversion | base_conversion:decomposition | n=189,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:1*2^0=1 ; OUT:10111101 |
multidigit_addition | multidigit_addition:rounding-decomposition | 652+380 | round:660+380=1040 ; adjust:1040-8=1032 ; sum=1032 |
base_conversion | base_conversion:via-binary | n=231,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:7 ; OUT:E7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 2, 1, 9, 4 | [2,5,1,9,4] ; [1,2,5,9,4] ; [1,2,5,9,4] ; [1,2,4,5,9] |
base_conversion | base_conversion:via-binary | n=124,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:1330 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(4,5) | D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 236+130 | round:240+130=370 ; adjust:370-4=366 ; sum=366 |
base_conversion | base_conversion:repeated-division | n=161,base=4 | DIV:161/4=40,r:1 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2201 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 1, 0, 6, 7 | [1,3,0,6,7] ; [1,0,3,6,7] ; [0,1,3,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 821+164 | round:830+164=994 ; adjust:994-9=985 ; sum=985 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 1, 4, 2 | [6,7,1,4,2] ; [6,1,7,4,2] ; [6,1,4,7,2] ; [6,1,4,2,7] ; [1,6,4,2,7] ; [1,4,6,2,7] ; [1,4,2,6,7] ; [1,2,4,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 2, 1, 0, 6 | [2,8,1,0,6] ; [2,1,8,0,6] ; [2,1,0,8,6] ; [2,1,0,6,8] ; [1,2,0,6,8] ; [1,0,2,6,8] ; [0,1,2,6,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 0, 2, 9 | [0,2,4,5,9] |
base_conversion | base_conversion:repeated-division | n=12,base=16 | DIV:12/16=0,r:12 ; OUT:C |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-28=-56 | 7x-28=-56 ; 7x=-28 ; x=-4 |
base_conversion | base_conversion:via-binary | n=136,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2020 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(5,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 198+921 | d2:8+1+0=9→w9,c0 ; d1:9+2+0=11→w1,c1 ; d0:1+9+1=11→w1,c1 ; sum=1119 |
multidigit_addition | multidigit_addition:rounding-decomposition | 132+132 | round:140+132=272 ; adjust:272-8=264 ; sum=264 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(4,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 6, 4, 0, 7 | 6+4=10 ; 10+0=10 ; 10+7=17 |
list_summation | list_summation:right-to-left | 9, 8, 2, 8 | 2+8=10 ; 8+10=18 ; 9+18=27 |
base_conversion | base_conversion:decomposition | n=45,base=8 | TERM:5*8^1=40 ; TERM:5*8^0=5 ; OUT:55 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+81=36 | 9x+81=36 ; 9x=-45 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(2,1) | D:(2,0) ; R:(2,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=70 | 7x+21=70 ; x=(70-21)/7 ; x=49/7 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 816+485 | d2:6+5+0=11→w1,c1 ; d1:1+8+1=10→w0,c1 ; d0:8+4+1=13→w3,c1 ; sum=1301 |
base_conversion | base_conversion:decomposition | n=160,base=8 | TERM:2*8^2=128 ; TERM:4*8^1=32 ; TERM:0*8^0=0 ; OUT:240 |
list_summation | list_summation:left-to-right | 9, 9, 3, 9 | 9+9=18 ; 18+3=21 ; 21+9=30 |
multidigit_addition | multidigit_addition:right-to-left-carry | 280+199 | d2:0+9+0=9→w9,c0 ; d1:8+9+0=17→w7,c1 ; d0:2+1+1=4→w4,c0 ; sum=479 |
multidigit_addition | multidigit_addition:right-to-left-carry | 639+671 | d2:9+1+0=10→w0,c1 ; d1:3+7+1=11→w1,c1 ; d0:6+6+1=13→w3,c1 ; sum=1310 |
base_conversion | base_conversion:repeated-division | n=105,base=2 | DIV:105/2=52,r:1 ; DIV:52/2=26,r:0 ; DIV:26/2=13,r:0 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1101001 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+24=42 | 6x+24=42 ; x+4=7 ; x=7-4 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:via-binary | n=224,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3200 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-24 | 6x-30=-24 ; 6x=6 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 892+685 | d2:2+5+0=7→w7,c0 ; d1:9+8+0=17→w7,c1 ; d0:8+6+1=15→w5,c1 ; sum=1577 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(5,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
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