77
Find v, given that 2*v**3/17 + 138*v**2/17 + 2572*v/17 + 8208/17 = 0.
-38, -27, -4
Factor -2*n**3 - 673512*n**2 - 673510*n.
-2*n*(n + 1)*(n + 336755)
Find n such that -3*n**3 + 5976*n**2 + 23940*n + 23952 = 0.
-2, 1996
Suppose o**2/3 + 650236*o + 317105141772 = 0. Calculate o.
-975354
Solve -f**4/4 - 183*f**3/2 + 4879*f**2/4 - 4539*f + 3411 = 0.
-379, 1, 6
Let 18*f**5 + 18372*f**4 + 442472*f**3 + 246064*f**2 - 939840*f + 382464 = 0. Calculate f.
-996, -24, -2, 2/3
Factor -150*q**2 + 658110*q - 1443695907/2.
-3*(10*q - 21937)**2/2
Find j such that -4*j**2 + 26868*j + 26872 = 0.
-1, 6718
Find x, given that 3*x**4 + 1932*x**3 + 24567*x**2 - 26502*x = 0.
-631, -14, 0, 1
Factor 4*x**5 + 129056*x**4 + 129052*x**3.
4*x**3*(x + 1)*(x + 32263)
Factor w**2/5 - 1792682*w/5 + 803427188281/5.
(w - 896341)**2/5
Factor 4*x**2 - 752*x + 8448.
4*(x - 176)*(x - 12)
Factor 2*g**2/7 + 5214956*g/7 + 3399470760242/7.
2*(g + 1303739)**2/7
Find k such that 25*k**3 - 27585*k**2 + 66080*k - 22020 = 0.
2/5, 2, 1101
Let 45*p**5 - 18615*p**4 + 1878035*p**3 + 9727855*p**2 + 13746920*p + 5915760 = 0. What is p?
-3, -1, 628/3
Solve 2*y**5/7 - 6854*y**4/7 - 2940*y**3 - 8*y**2/7 + 3920*y = 0.
-2, 0, 1, 3430
Factor p**3/5 - 601*p**2/5 + 36399*p/5 - 116523.
(p - 535)*(p - 33)**2/5
Solve -p**5 + 376*p**4 - 1786*p**3 - 25428*p**2 - 63333*p - 40068 = 0.
-3, -1, 12, 371
Suppose -4*m**2 + 2340509*m - 585127 = 0. What is m?
1/4, 585127
Solve r**3/3 - 537*r**2 + 218673*r - 1924803 = 0.
9, 801
Let 5*r**5 - 695*r**4 + 13310*r**3 + 1045750*r**2 - 17535235*r - 18566975 = 0. Calculate r.
-35, -1, 17, 79
Suppose 3*p**2 + 8703*p = 0. What is p?
-2901, 0
Solve -556*j**4/7 + 28918*j**3/7 - 403412*j**2/7 + 699350*j/7 - 7500/7 = 0 for j.
3/278, 2, 25
Solve -2*h**5/5 + 174*h**4 + 1844*h**3/5 - 42204*h**2/5 + 110286*h/5 - 70794/5 = 0 for h.
-9, 1, 3, 437
Factor 3*f**2 - 1008*f + 6909.
3*(f - 329)*(f - 7)
Suppose 2*z**3 + 518*z**2 - 52562*z + 1146442 = 0. What is z?
-341, 41
Factor -f**3/4 - 28*f**2 + 2489*f/4.
-f*(f - 19)*(f + 131)/4
Suppose y**5/3 - 3119*y**4/3 + 2057875*y**3/3 + 201733553*y**2 - 405520824*y + 203102352 = 0. What is y?
-219, 1, 1668
What is f in -3*f**2 - 14016*f - 16370688 = 0?
-2336
Factor m**4/8 + 6669*m**3/8 + 1667*m**2/2.
m**2*(m + 1)*(m + 6668)/8
Factor -3*t**3/4 + 3195*t**2.
-3*t**2*(t - 4260)/4
Let 2*w**2/17 + 298*w/17 - 27820/17 = 0. What is w?
-214, 65
Suppose 3*g**5 - 7959*g**4/2 + 1304688*g**3 + 19923909*g**2/2 + 16048020*g - 10677336 = 0. Calculate g.
-4, 1/2, 667
Factor -8*q**2/3 + 569620*q/3 - 284804.
-4*(q - 71201)*(2*q - 3)/3
Factor 2*a**3/9 - 1262*a**2/3 + 3772*a/9 + 7568/3.
2*(a - 1892)*(a - 3)*(a + 2)/9
Determine x so that -x**4/9 - 1286*x**3/9 - 428*x**2/3 + 1286*x/9 + 1285/9 = 0.
-1285, -1, 1
Let -j**2/2 + 273*j/2 + 7889 = 0. What is j?
-49, 322
Solve 92*c**3/13 + 1050*c**2/13 + 3022*c/13 + 1260/13 = 0 for c.
-7, -90/23, -1/2
Factor 51*n**3 - 2568*n**2 + 38940*n - 156816.
3*(n - 22)**2*(17*n - 108)
Factor 6*k**3/5 - 49968*k**2/5 - 6*k/5 + 49968/5.
6*(k - 8328)*(k - 1)*(k + 1)/5
Factor -5*c**2 + 706140*c - 24931684980.
-5*(c - 70614)**2
Factor -5*f**2 - 104300*f - 104295.
-5*(f + 1)*(f + 20859)
Factor -3*k**2/2 - 621585*k + 1243173/2.
-3*(k - 1)*(k + 414391)/2
Factor -1452*t**2 - 2*t/3.
-2*t*(2178*t + 1)/3
Solve 4*a**4 + 48136*a**3 + 193153680*a**2 + 258696648800*a + 1031699216000 = 0 for a.
-4010, -4
Suppose -h**2 + 1106430*h - 306046836225 = 0. What is h?
553215
Factor 5*p**4 - 1710*p**3 - 1715*p**2.
5*p**2*(p - 343)*(p + 1)
Let -v**4/6 + 7033*v**3/6 - 2059201*v**2 - 18599666*v/3 + 61881620/3 = 0. What is v?
-5, 2, 3518
Factor s**4/3 + 26*s**3/3 - 83*s**2 - 198*s.
s*(s - 9)*(s + 2)*(s + 33)/3
Let -2*u**4 - 248*u**3 - 8936*u**2 - 82560*u + 489600 = 0. What is u?
-68, -30, 4
Factor 2*h**3/5 + 164*h**2 - 32*h/5 - 2624.
2*(h - 4)*(h + 4)*(h + 410)/5
What is h in -3*h**4/5 + 609*h**3 - 21201*h**2/5 + 33279*h/5 - 3024 = 0?
1, 5, 1008
Let -2*f**4/3 - 8854*f**3/3 - 3279642*f**2 - 88010978*f/3 - 195187240/3 = 0. Calculate f.
-2209, -5, -4
Factor -w**5 - 108*w**4 - 2802*w**3 + 6380*w**2 + 9075*w.
-w*(w - 3)*(w + 1)*(w + 55)**2
Solve 2*p**3/11 + 2216*p**2/11 - 29206*p/11 - 67260/11 = 0.
-1121, -2, 15
What is t in 10*t**5/9 - 278*t**4/3 + 19382*t**3/9 - 26330*t**2/3 - 6968*t + 4056 = 0?
-1, 2/5, 6, 39
Determine c so that 385*c**3 + 107430*c**2 + 4175*c - 2790 = 0.
-279, -2/11, 1/7
Determine w so that -3*w**3/4 - 105*w**2/4 + 7611*w/4 + 282897/4 = 0.
-43, 51
Let -n**2/4 + 73*n/4 + 582 = 0. What is n?
-24, 97
Find i such that -i**3/6 + 241*i**2/2 + 6275*i/3 + 3700 = 0.
-15, -2, 740
What is i in -5*i**2/4 - 724605*i/4 = 0?
-144921, 0
Suppose -t**3/6 + 1949*t**2/3 + 3901*t/2 = 0. Calculate t.
-3, 0, 3901
Factor w**4/5 - 826*w**3/5 - 2487*w**2/5 - 4*w/5 + 3316/5.
(w - 829)*(w - 1)*(w + 2)**2/5
Suppose 45*m**5 + 168*m**4 - 10983*m**3 + 67806*m**2 - 105504*m + 23520 = 0. Calculate m.
-20, 4/15, 2, 7
Let 2*a**5/7 + 38*a**4 + 4260*a**3/7 + 13444*a**2/7 - 40742*a/7 + 22770/7 = 0. Calculate a.
-115, -11, -9, 1
What is a in -11*a**2 + 31491*a + 94572 = 0?
-3, 31524/11
Factor 5*q**3 - 59775*q**2 + 1074735*q - 4834485.
5*(q - 11937)*(q - 9)**2
Find f such that f**3/4 - 55*f**2/2 + 1119*f/4 - 1485/2 = 0.
5, 6, 99
What is u in -3*u**2 - 231*u + 14994 = 0?
-119, 42
Determine d, given that -3*d**4 - 2853*d**3 - 688044*d**2 - 4553856*d + 29407488 = 0.
-472, -11, 4
Suppose -3*c**4/5 - 8004*c**3/5 - 5290236*c**2/5 + 12973344*c + 30166080 = 0. What is c?
-1340, -2, 14
Factor 3*b**3 - 7806*b**2.
3*b**2*(b - 2602)
Find r such that -r**2/8 + 919*r/8 - 19665/4 = 0.
45, 874
Determine r so that -r**4/7 - 47*r**3/7 + 545*r**2/7 - 1425*r/7 = 0.
-57, 0, 5
Let s**4 + 11*s**3 - 468*s**2 - 972*s = 0. Calculate s.
-27, -2, 0, 18
What is i in -i**3/6 + 11*i**2/2 + 34*i - 266/3 = 0?
-7, 2, 38
Factor -40*h**2 + 5005*h + 30785.
-5*(h - 131)*(8*h + 47)
Solve 4*x**5 - 100*x**4 + 652*x**3 + 116*x**2 - 5840*x - 5200 = 0.
-2, -1, 5, 10, 13
Let -3*v**5 + 489*v**4 + 29040*v**3 - 3966492*v**2 - 201798240*v - 197803200 = 0. Calculate v.
-58, -1, 140
Find o, given that -5*o**2 + 3919400*o - 768084818000 = 0.
391940
What is n in n**4/5 - 76*n**3/5 + 867*n**2/5 + 76*n/5 - 868/5 = 0?
-1, 1, 14, 62
Determine j so that -2*j**5/13 + 536*j**4/13 + 15794*j**3/13 + 40312*j**2/13 - 56640*j/13 = 0.
-24, -4, 0, 1, 295
Find c, given that -c**4/4 - 25*c**3/2 - 144*c**2 = 0.
-32, -18, 0
Factor -s**3/3 + 27*s**2 + 529*s/3 - 203.
-(s - 87)*(s - 1)*(s + 7)/3
Let -z**5/3 - 5674*z**4/3 - 17012*z**3/3 + 5674*z**2/3 + 5671*z = 0. Calculate z.
-5671, -3, -1, 0, 1
What is z in z**4 - 30*z**3 + 208*z**2 + 30*z - 209 = 0?
-1, 1, 11, 19
Determine i so that 2*i**5 + 3452*i**4 + 1486054*i**3 - 3030932*i**2 - 19443456*i - 14929920 = 0.
-864, -2, -1, 5
Determine z so that 4*z**4 - 432*z**3 + 10284*z**2 + 62720*z = 0.
-5, 0, 49, 64
Determine s so that 4*s**2 - 103802*s/5 + 2076 = 0.
1/10, 5190
Solve 2*v**5 - 25170*v**4 + 150972*v**3 - 301912*v**2 + 201264*v = 0.
0, 2, 12579
Factor -5*y**4 + 235*y**3 - 2775*y**2 + 12625*y - 20000.
-5*(y - 32)*(y - 5)**3
Factor 10*d**3/13 - 697704*d**2/13 + 12169911330*d/13 - 4867852900/13.
2*(d - 34885)**2*(5*d - 2)/13
Factor -3*d**4 + 843837*d**3 - 2531493*d**2 + 2531487*d - 843828.
-3*(d - 281276)*(d - 1)**3
What is t in -t**2/4 + 1055*t/2 = 0?
0, 2110
Suppose -5*w**5 + 135*w**4 - 675*w**3 + 965*w**2 - 420*w = 0. Calculate w.
0, 1, 4, 21
Factor -2*s**3/3 + 160906*s**2/3 - 3236423056*s/3 + 3236262152/3.
-2*(s - 40226)**2*(s - 1)/3
Determine a so that 15*a**4 + 485*a**3 - 36030*a**2 + 23800*a = 0.
-68, 0, 2/3, 35
Suppose -3*q**3/8 + 183*q**2/8 - 555*q/2 - 1500 = 0. What is q?
-4, 25, 40
Factor -b**3 + 1530*b**2 - 571212*b - 10783368.
-(b - 774)**2*(b + 18)
Determine i so that -3*i**2 + 73620*i - 73617 = 0.
1, 24539
Factor r**2/3 - 17572*r + 231581388.
(r - 26358)**2/3
Suppose 9*y**4/5 - 8157*y**3/5 - 303543*y**2/5 + 1094013*y/5 - 330642/5 = 0. What is y?
-39, 1/3, 3, 942
Solve -2*d**3/11 - 8924*d**2/11 - 1622*d - 8920/11 = 0 for d.
-4460, -1
Factor h**2/2 - 14642*h + 107194082.
(h - 14642)**2/2
What is c in 16*c**3 + 548*c**2 + 4744*c + 1152 = 0?
-18, -16, -1/4
Find z such that 5*z**4 - 36190*z**3 - 36200*z**2 + 36190*z + 36195 = 0.
-1, 1, 7239
Let -35*b**2 + 3175*b + 13260 = 0. Calculate b.
-4, 663/7
Factor 