task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 9, 4, 9, 3 | 9+4=13 ; 9+3=12 ; 13+12=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 1, 6, 4, 0 | [1,2,6,4,0] ; [1,2,4,6,0] ; [0,1,2,4,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+81=81 | 9x+81=81 ; x+9=9 ; x=9-9 ; x=0 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 2, 5, 7, 3 | [2,4,5,7,3] ; [2,3,5,7,4] ; [2,3,4,7,5] ; [2,3,4,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 770+858 | p100:700+800=1500 ; p10:70+50=120 ; p1:0+8=8 ; sum=1500+120+8=1628 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=-8 | 8x+24=-8 ; x+3=-1 ; x=-1-3 ; x=-4 |
list_summation | list_summation:pairwise | 4, 0, 6, 5 | 4+0=4 ; 6+5=11 ; 4+11=15 |
list_summation | list_summation:left-to-right | 6, 6, 5, 8 | 6+6=12 ; 12+5=17 ; 17+8=25 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 0, 3, 4 | [2,0,7,3,4] ; [2,0,3,7,4] ; [2,0,3,4,7] ; [0,2,3,4,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
list_summation | list_summation:left-to-right | 3, 0, 4, 8 | 3+0=3 ; 3+4=7 ; 7+8=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-64=-96 | 8x-64=-96 ; x=(-96--64)/8 ; x=-32/8 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(5,4) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 154+511 | round:160+511=671 ; adjust:671-6=665 ; sum=665 |
multidigit_addition | multidigit_addition:left-to-right-partials | 329+160 | p100:300+100=400 ; p10:20+60=80 ; p1:9+0=9 ; sum=400+80+9=489 |
multidigit_addition | multidigit_addition:left-to-right-partials | 751+382 | p100:700+300=1000 ; p10:50+80=130 ; p1:1+2=3 ; sum=1000+130+3=1133 |
multidigit_addition | multidigit_addition:rounding-decomposition | 988+267 | round:990+267=1257 ; adjust:1257-2=1255 ; sum=1255 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-42=-18 | 6x-42=-18 ; x=(-18--42)/6 ; x=24/6 ; x=4 |
base_conversion | base_conversion:repeated-division | n=138,base=8 | DIV:138/8=17,r:2 ; DIV:17/8=2,r:1 ; DIV:2/8=0,r:2 ; OUT:212 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=56 | 7x+35=56 ; x=(56-35)/7 ; x=21/7 ; x=3 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 9, 1, 6, 2 | [9,0,1,6,2] ; [9,6,1,0,2] ; [2,6,1,0,9] ; [6,2,1,0,9] ; [0,2,1,6,9] ; [2,0,1,6,9] ; [1,0,2,6,9] ; [0,1,2,6,9] |
list_summation | list_summation:left-to-right | 3, 5, 2, 6 | 3+5=8 ; 8+2=10 ; 10+6=16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(5,4) | R:(0,1) ; R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 0, 4, 2, 3 | 0+4=4 ; 2+3=5 ; 4+5=9 |
multidigit_addition | multidigit_addition:rounding-decomposition | 541+397 | round:550+397=947 ; adjust:947-9=938 ; sum=938 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) |
list_summation | list_summation:right-to-left | 1, 8, 2, 7 | 2+7=9 ; 8+9=17 ; 1+17=18 |
base_conversion | base_conversion:via-binary | n=160,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:2200 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 9, 2, 1 | [3,8,2,9,1] ; [3,8,2,1,9] ; [3,2,8,1,9] ; [3,2,1,8,9] ; [2,3,1,8,9] ; [2,1,3,8,9] ; [1,2,3,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+6=12 | 2x+6=12 ; x=(12-6)/2 ; x=6/2 ; x=3 |
base_conversion | base_conversion:via-binary | n=14,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:6 ; OUT:16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 154+622 | round:160+622=782 ; adjust:782-6=776 ; sum=776 |
base_conversion | base_conversion:via-binary | n=113,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; OUT:1110001 |
base_conversion | base_conversion:decomposition | n=120,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:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1111000 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 6, 1, 3, 2 | [4,6,1,3,2] ; [1,4,6,3,2] ; [1,3,4,6,2] ; [1,2,3,4,6] |
list_summation | list_summation:pairwise | 1, 4, 8, 2 | 1+4=5 ; 8+2=10 ; 5+10=15 |
multidigit_addition | multidigit_addition:rounding-decomposition | 272+923 | round:280+923=1203 ; adjust:1203-8=1195 ; sum=1195 |
multidigit_addition | multidigit_addition:right-to-left-carry | 947+559 | d2:7+9+0=16→w6,c1 ; d1:4+5+1=10→w0,c1 ; d0:9+5+1=15→w5,c1 ; sum=1506 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-63=-84 | 7x-63=-84 ; x+-9=-12 ; x=-12--9 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 458+562 | d2:8+2+0=10→w0,c1 ; d1:5+6+1=12→w2,c1 ; d0:4+5+1=10→w0,c1 ; sum=1020 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+2=-6 | 2x+2=-6 ; 2x=-8 ; x=-4 |
list_summation | list_summation:left-to-right | 8, 6, 5, 6 | 8+6=14 ; 14+5=19 ; 19+6=25 |
base_conversion | base_conversion:via-binary | n=149,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10010101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-27=-12 | 3x-27=-12 ; 3x=15 ; x=5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=10 | 5x+25=10 ; x+5=2 ; x=2-5 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+63=9 | 9x+63=9 ; x=(9-63)/9 ; x=-54/9 ; x=-6 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 5, 4, 8, 7 | [5,9,4,8,7] ; [4,5,9,8,7] ; [4,5,8,9,7] ; [4,5,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) |
base_conversion | base_conversion:repeated-division | n=88,base=8 | DIV:88/8=11,r:0 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:130 |
multidigit_addition | multidigit_addition:rounding-decomposition | 117+480 | round:120+480=600 ; adjust:600-3=597 ; sum=597 |
multidigit_addition | multidigit_addition:right-to-left-carry | 400+932 | d2:0+2+0=2→w2,c0 ; d1:0+3+0=3→w3,c0 ; d0:4+9+0=13→w3,c1 ; sum=1332 |
multidigit_addition | multidigit_addition:rounding-decomposition | 581+653 | round:590+653=1243 ; adjust:1243-9=1234 ; sum=1234 |
base_conversion | base_conversion:via-binary | n=225,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11100001 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 8, 0, 7 | [4,5,8,0,7] ; [4,5,8,0,7] ; [0,4,5,8,7] ; [0,4,5,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-35=-63 | 7x-35=-63 ; x+-5=-9 ; x=-9--5 ; x=-4 |
base_conversion | base_conversion:decomposition | n=17,base=16 | TERM:1*16^1=16 ; TERM:1*16^0=1 ; OUT:11 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 4, 1, 0 | [0,2,4,1,8] ; [0,1,4,2,8] ; [0,1,2,4,8] ; [0,1,2,4,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,5) | R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=12 | 3x+24=12 ; 3x=-12 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 139+885 | d2:9+5+0=14→w4,c1 ; d1:3+8+1=12→w2,c1 ; d0:1+8+1=10→w0,c1 ; sum=1024 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 5, 4, 2, 8 | [7,8,4,2,5] ; [8,7,4,2,5] ; [5,7,4,2,8] ; [7,5,4,2,8] ; [2,5,4,7,8] ; [5,2,4,7,8] ; [4,2,5,7,8] ; [2,4,5,7,8] |
list_summation | list_summation:pairwise | 6, 8, 0, 9 | 6+8=14 ; 0+9=9 ; 14+9=23 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+16=18 | 2x+16=18 ; x+8=9 ; x=9-8 ; x=1 |
list_summation | list_summation:left-to-right | 1, 3, 9, 8 | 1+3=4 ; 4+9=13 ; 13+8=21 |
base_conversion | base_conversion:decomposition | n=118,base=16 | TERM:7*16^1=112 ; TERM:6*16^0=6 ; OUT:76 |
base_conversion | base_conversion:repeated-division | n=103,base=2 | DIV:103/2=51,r:1 ; DIV:51/2=25,r:1 ; DIV:25/2=12,r:1 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1100111 |
list_summation | list_summation:left-to-right | 0, 8, 2, 5 | 0+8=8 ; 8+2=10 ; 10+5=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 8, 1, 3 | [1,2,8,5,3] ; [1,2,8,5,3] ; [1,2,3,5,8] ; [1,2,3,5,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=30 | 2x+18=30 ; x+9=15 ; x=15-9 ; x=6 |
base_conversion | base_conversion:decomposition | n=45,base=4 | TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:231 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 6, 0, 4, 3 | [0,2,4,6,3] ; [0,2,3,4,6] |
list_summation | list_summation:right-to-left | 4, 3, 0, 0 | 0+0=0 ; 3+0=3 ; 4+3=7 |
list_summation | list_summation:left-to-right | 3, 3, 6, 1 | 3+3=6 ; 6+6=12 ; 12+1=13 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
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 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-30=-24 | 6x-30=-24 ; x+-5=-4 ; x=-4--5 ; x=1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 2, 5, 0 | [1,9,2,5,0] ; [1,2,9,5,0] ; [1,2,5,9,0] ; [1,2,5,0,9] ; [1,2,0,5,9] ; [1,0,2,5,9] ; [0,1,2,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 424+716 | d2:4+6+0=10→w0,c1 ; d1:2+1+1=4→w4,c0 ; d0:4+7+0=11→w1,c1 ; sum=1140 |
base_conversion | base_conversion:via-binary | n=54,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:6 ; OUT:66 |
multidigit_addition | multidigit_addition:left-to-right-partials | 394+951 | p100:300+900=1200 ; p10:90+50=140 ; p1:4+1=5 ; sum=1200+140+5=1345 |
list_summation | list_summation:pairwise | 1, 3, 2, 3 | 1+3=4 ; 2+3=5 ; 4+5=9 |
list_summation | list_summation:right-to-left | 5, 2, 1, 6 | 1+6=7 ; 2+7=9 ; 5+9=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=82,base=4 | DIV:82/4=20,r:2 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1102 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 6, 3, 2, 8 | [2,6,3,4,8] ; [2,3,6,4,8] ; [2,3,4,6,8] ; [2,3,4,6,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+21=-3 | 3x+21=-3 ; 3x=-24 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=12 | 4x+0=12 ; 4x=12 ; x=3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 2, 5, 3 | [6,8,2,5,3] ; [2,6,8,5,3] ; [2,5,6,8,3] ; [2,3,5,6,8] |
list_summation | list_summation:left-to-right | 3, 9, 7, 9 | 3+9=12 ; 12+7=19 ; 19+9=28 |
base_conversion | base_conversion:via-binary | n=2,base=16 | BINLEN:2 ; CHUNK:0:2 ; OUT:2 |
base_conversion | base_conversion:decomposition | n=67,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; 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:1000011 |
multidigit_addition | multidigit_addition:right-to-left-carry | 690+646 | d2:0+6+0=6→w6,c0 ; d1:9+4+0=13→w3,c1 ; d0:6+6+1=13→w3,c1 ; sum=1336 |
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