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 | 5x-30=-50 | 5x-30=-50 ; x=(-50--30)/5 ; x=-20/5 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 4, 9, 1 | [6,9,4,7,1] ; [9,6,4,7,1] ; [9,7,4,6,1] ; [1,7,4,6,9] ; [7,1,4,6,9] ; [7,6,4,1,9] ; [1,6,4,7,9] ; [6,1,4,7,9] ; [4,1,6,7,9] ; [1,4,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 690+388 | round:690+388=1078 ; adjust:1078-0=1078 ; sum=1078 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,1) | R:(1,1) ; D:(2,1) |
list_summation | list_summation:pairwise | 7, 5, 6, 5 | 7+5=12 ; 6+5=11 ; 12+11=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-6=-18 | 2x-6=-18 ; 2x=-12 ; x=-6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 111+382 | d2:1+2+0=3→w3,c0 ; d1:1+8+0=9→w9,c0 ; d0:1+3+0=4→w4,c0 ; sum=493 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
list_summation | list_summation:pairwise | 5, 0, 5, 7 | 5+0=5 ; 5+7=12 ; 5+12=17 |
list_summation | list_summation:right-to-left | 2, 0, 4, 0 | 4+0=4 ; 0+4=4 ; 2+4=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 250+346 | d2:0+6+0=6→w6,c0 ; d1:5+4+0=9→w9,c0 ; d0:2+3+0=5→w5,c0 ; sum=596 |
base_conversion | base_conversion:decomposition | n=58,base=4 | TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:322 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-135 | 9x-81=-135 ; x+-9=-15 ; x=-15--9 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,1) | R:(3,1) ; D:(4,1) |
base_conversion | base_conversion:decomposition | n=212,base=8 | TERM:3*8^2=192 ; TERM:2*8^1=16 ; TERM:4*8^0=4 ; OUT:324 |
base_conversion | base_conversion:via-binary | n=76,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1001100 |
base_conversion | base_conversion:repeated-division | n=131,base=2 | DIV:131/2=65,r:1 ; DIV:65/2=32,r:1 ; DIV:32/2=16,r:0 ; DIV:16/2=8,r:0 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10000011 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:via-binary | n=184,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2320 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 8, 2, 3 | [2,6,8,4,3] ; [2,3,8,4,6] ; [2,3,4,8,6] ; [2,3,4,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=14 | 7x+35=14 ; x=(14-35)/7 ; x=-21/7 ; x=-3 |
list_summation | list_summation:left-to-right | 5, 8, 7, 3 | 5+8=13 ; 13+7=20 ; 20+3=23 |
base_conversion | base_conversion:repeated-division | n=238,base=16 | DIV:238/16=14,r:14 ; DIV:14/16=0,r:14 ; OUT:EE |
base_conversion | base_conversion:decomposition | n=47,base=4 | TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:233 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+0=72 | 8x+0=72 ; 8x=72 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+15=45 | 5x+15=45 ; x=(45-15)/5 ; x=30/5 ; x=6 |
list_summation | list_summation:right-to-left | 0, 9, 4, 8 | 4+8=12 ; 9+12=21 ; 0+21=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 540+654 | d2:0+4+0=4→w4,c0 ; d1:4+5+0=9→w9,c0 ; d0:5+6+0=11→w1,c1 ; sum=1194 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-4=6 | 2x-4=6 ; x=(6--4)/2 ; x=10/2 ; x=5 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 3, 1, 7, 2 | [3,9,1,7,2] ; [3,1,9,7,2] ; [3,1,7,9,2] ; [3,1,7,2,9] ; [1,3,7,2,9] ; [1,3,2,7,9] ; [1,2,3,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 820+323 | p100:800+300=1100 ; p10:20+20=40 ; p1:0+3=3 ; sum=1100+40+3=1143 |
base_conversion | base_conversion:via-binary | n=219,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11011011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-80 | 8x-40=-80 ; x=(-80--40)/8 ; x=-40/8 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=-14 | 7x-42=-14 ; x+-6=-2 ; x=-2--6 ; x=4 |
list_summation | list_summation:left-to-right | 9, 7, 1, 2 | 9+7=16 ; 16+1=17 ; 17+2=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 1, 8, 5 | [4,8,1,6,5] ; [8,4,1,6,5] ; [8,6,1,4,5] ; [5,6,1,4,8] ; [6,5,1,4,8] ; [4,5,1,6,8] ; [5,4,1,6,8] ; [1,4,5,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8] |
base_conversion | base_conversion:via-binary | n=5,base=8 | BINLEN:3 ; CHUNK:0:5 ; OUT:5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=115,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:1303 |
list_summation | list_summation:pairwise | 8, 2, 9, 6 | 8+2=10 ; 9+6=15 ; 10+15=25 |
multidigit_addition | multidigit_addition:left-to-right-partials | 403+405 | p100:400+400=800 ; p10:0+0=0 ; p1:3+5=8 ; sum=800+0+8=808 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 7, 2, 1, 0 | [0,7,2,1,3] ; [0,1,2,7,3] ; [0,1,2,7,3] ; [0,1,2,3,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=-63 | 9x-27=-63 ; x=(-63--27)/9 ; x=-36/9 ; x=-4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 2, 7, 3, 9 | [2,6,7,3,9] ; [2,6,3,7,9] ; [2,3,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 844+226 | p100:800+200=1000 ; p10:40+20=60 ; p1:4+6=10 ; sum=1000+60+10=1070 |
base_conversion | base_conversion:decomposition | n=84,base=8 | TERM:1*8^2=64 ; TERM:2*8^1=16 ; TERM:4*8^0=4 ; OUT:124 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=9 | 9x-18=9 ; x+-2=1 ; x=1--2 ; x=3 |
base_conversion | base_conversion:decomposition | n=166,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:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10100110 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 2, 8, 5 | [7,9,2,8,5] ; [2,7,9,8,5] ; [2,7,8,9,5] ; [2,5,7,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 0, 6, 3 | [4,9,0,6,3] ; [4,0,9,6,3] ; [4,0,6,9,3] ; [4,0,6,3,9] ; [0,4,6,3,9] ; [0,4,3,6,9] ; [0,3,4,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 1, 9, 7, 6 | 1+9=10 ; 7+6=13 ; 10+13=23 |
list_summation | list_summation:left-to-right | 1, 4, 3, 6 | 1+4=5 ; 5+3=8 ; 8+6=14 |
base_conversion | base_conversion:repeated-division | n=46,base=4 | DIV:46/4=11,r:2 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:232 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 9, 5, 6, 2 | [9,8,5,6,2] ; [2,8,5,6,9] ; [8,2,5,6,9] ; [8,6,5,2,9] ; [2,6,5,8,9] ; [6,2,5,8,9] ; [5,2,6,8,9] ; [2,5,6,8,9] |
base_conversion | base_conversion:repeated-division | n=93,base=4 | DIV:93/4=23,r:1 ; DIV:23/4=5,r:3 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1131 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:pairwise | 4, 8, 2, 1 | 4+8=12 ; 2+1=3 ; 12+3=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 479+634 | round:480+634=1114 ; adjust:1114-1=1113 ; sum=1113 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,3) | D:(4,2) ; D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 238+919 | d2:8+9+0=17→w7,c1 ; d1:3+1+1=5→w5,c0 ; d0:2+9+0=11→w1,c1 ; sum=1157 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 773+601 | d2:3+1+0=4→w4,c0 ; d1:7+0+0=7→w7,c0 ; d0:7+6+0=13→w3,c1 ; sum=1374 |
base_conversion | base_conversion:via-binary | n=225,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:3201 |
base_conversion | base_conversion:decomposition | n=53,base=8 | TERM:6*8^1=48 ; TERM:5*8^0=5 ; OUT:65 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 3, 6, 2 | [1,4,3,6,2] ; [1,3,4,6,2] ; [1,2,3,4,6] |
list_summation | list_summation:left-to-right | 0, 9, 5, 4 | 0+9=9 ; 9+5=14 ; 14+4=18 |
list_summation | list_summation:pairwise | 7, 5, 2, 5 | 7+5=12 ; 2+5=7 ; 12+7=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 6, 3, 8 | [4,9,6,3,8] ; [4,6,9,3,8] ; [3,4,6,9,8] ; [3,4,6,8,9] |
list_summation | list_summation:pairwise | 9, 5, 7, 8 | 9+5=14 ; 7+8=15 ; 14+15=29 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 0, 8, 2, 5 | [0,7,8,2,5] ; [0,7,2,8,5] ; [0,7,2,5,8] ; [0,2,7,5,8] ; [0,2,5,7,8] |
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) |
base_conversion | base_conversion:repeated-division | n=104,base=4 | DIV:104/4=26,r:0 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1220 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 2, 3, 1 | [0,2,3,8,1] ; [0,1,2,3,8] |
base_conversion | base_conversion:decomposition | n=176,base=16 | TERM:11*16^1=176 ; TERM:0*16^0=0 ; OUT:B0 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=-49 | 7x-7=-49 ; 7x=-42 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+0=40 | 5x+0=40 ; x=(40-0)/5 ; x=40/5 ; x=8 |
base_conversion | base_conversion:decomposition | n=25,base=16 | TERM:1*16^1=16 ; TERM:9*16^0=9 ; OUT:19 |
multidigit_addition | multidigit_addition:left-to-right-partials | 875+485 | p100:800+400=1200 ; p10:70+80=150 ; p1:5+5=10 ; sum=1200+150+10=1360 |
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) |
list_summation | list_summation:left-to-right | 9, 1, 6, 9 | 9+1=10 ; 10+6=16 ; 16+9=25 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 6, 1, 8, 9 | [7,9,1,8,6] ; [9,7,1,8,6] ; [9,8,1,7,6] ; [6,8,1,7,9] ; [8,6,1,7,9] ; [8,7,1,6,9] ; [6,7,1,8,9] ; [7,6,1,8,9] ; [1,6,7,8,9] ; [6,1,7,8,9] ; [1,6,7,8,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+0=32 | 8x+0=32 ; x+0=4 ; x=4-0 ; x=4 |
base_conversion | base_conversion:via-binary | n=40,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:220 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 5, 6, 2, 0 | [0,5,6,2,3] ; [0,2,6,5,3] ; [0,2,3,5,6] ; [0,2,3,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+3=-24 | 3x+3=-24 ; x=(-24-3)/3 ; x=-27/3 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 4, 0, 3, 8 | 4+0=4 ; 3+8=11 ; 4+11=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 0, 3, 9, 2 | [0,1,3,9,2] ; [0,1,3,9,2] ; [0,1,2,9,3] ; [0,1,2,3,9] |
list_summation | list_summation:right-to-left | 2, 5, 9, 0 | 9+0=9 ; 5+9=14 ; 2+14=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 932+387 | round:940+387=1327 ; adjust:1327-8=1319 ; sum=1319 |
base_conversion | base_conversion:decomposition | n=183,base=8 | TERM:2*8^2=128 ; TERM:6*8^1=48 ; TERM:7*8^0=7 ; OUT:267 |
list_summation | list_summation:pairwise | 2, 9, 5, 7 | 2+9=11 ; 5+7=12 ; 11+12=23 |
list_summation | list_summation:pairwise | 6, 3, 9, 8 | 6+3=9 ; 9+8=17 ; 9+17=26 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 5, 8, 4 | [3,7,5,8,4] ; [3,5,7,8,4] ; [3,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=56,base=2 | 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:0*2^0=0 ; OUT:111000 |
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