. Calculate n.
-162, -3
Determine g, given that -36*g**5 + 249*g**4 - 417*g**3 - 132*g**2 + 444*g + 144 = 0.
-3/4, -1/3, 2, 4
Factor 3*p**5 - 12*p**4 - 18*p**3 + 48*p**2 + 87*p + 36.
3*(p - 4)*(p - 3)*(p + 1)**3
Solve -j**3 - 172*j**2 - 7396*j = 0.
-86, 0
Determine p, given that 5*p**2 + 675*p + 7930 = 0.
-122, -13
Factor d**5/8 + 12*d**4 + 2577*d**3/8 + 6619*d**2/4 + 6255*d/2 + 2025.
(d + 2)**3*(d + 45)**2/8
What is l in 16*l**3 - 46*l**2 - 6*l = 0?
-1/8, 0, 3
Factor 5*x**2 - 1340*x - 1345.
5*(x - 269)*(x + 1)
Suppose -g**5 + 3*g**4 + 12*g**3 - 52*g**2 + 48*g = 0. What is g?
-4, 0, 2, 3
Find v, given that v**2/8 + 31*v/4 + 961/8 = 0.
-31
Factor 4*n**2 + 15080*n.
4*n*(n + 3770)
Factor 4*z**4/7 + 24*z**3/7 + 32*z**2/7.
4*z**2*(z + 2)*(z + 4)/7
Factor 2*r**3/11 + 62*r**2/11 + 34*r - 1734/11.
2*(r - 3)*(r + 17)**2/11
Factor -2*w**3 - 716*w**2.
-2*w**2*(w + 358)
Factor n**2/3 - 8*n/3 + 7/3.
(n - 7)*(n - 1)/3
Factor -616*f**2 + 636*f - 20.
-4*(f - 1)*(154*f - 5)
Solve 10*q**4/17 - 146*q**3/17 + 434*q**2/17 - 430*q/17 + 132/17 = 0 for q.
3/5, 1, 2, 11
Factor 3*h**5 - 3*h**4 - 123*h**3 - 321*h**2 - 300*h - 96.
3*(h - 8)*(h + 1)**3*(h + 4)
Factor -2*m**3 + 368*m**2 - 12154*m - 466796.
-2*(m - 103)**2*(m + 22)
Factor 84100*c**2 - 1740*c + 9.
(290*c - 3)**2
Factor 2*m**3/17 - 2*m**2/17 - 10*m/17 - 6/17.
2*(m - 3)*(m + 1)**2/17
Factor -8*v**5 - 4*v**4 + 16*v**3 + 12*v**2.
-4*v**2*(v + 1)**2*(2*v - 3)
Factor -4*s**4 + 304*s**3 + 316*s**2 - 616*s.
-4*s*(s - 77)*(s - 1)*(s + 2)
What is w in 3*w**3/7 + 621*w**2/7 + 4635*w + 31827/7 = 0?
-103, -1
Let -4*s**2 - 196*s + 2360 = 0. Calculate s.
-59, 10
Solve -20*j**5 - 3204*j**4 - 131800*j**3 - 279032*j**2 - 175380*j - 24964 = 0 for j.
-79, -1, -1/5
Let -4*h**2 + 88*h - 160 = 0. Calculate h.
2, 20
Factor -3*y**2/7 + 3*y + 180/7.
-3*(y - 12)*(y + 5)/7
Determine g so that -2*g**4/7 - 24*g**3/7 + 54*g**2/7 + 220*g + 672 = 0.
-7, -6, 8
Find w such that w**3/4 + 5*w**2/4 + w = 0.
-4, -1, 0
What is x in -x**3 + 19*x**2 - 31*x - 51 = 0?
-1, 3, 17
Factor 6*d**2 - 2552*d - 1704.
2*(d - 426)*(3*d + 2)
Factor x**2 + 142*x - 735.
(x - 5)*(x + 147)
Solve -176*y**2/7 - 164*y/7 - 24/7 = 0 for y.
-3/4, -2/11
Suppose -20*t**3 - 364*t**2 + 308*t + 76 = 0. Calculate t.
-19, -1/5, 1
Factor d**4/4 + 17*d**3/2 + 429*d**2/4 + 595*d + 1225.
(d + 7)**2*(d + 10)**2/4
Factor j**4 + 9*j**3 + 24*j**2 + 20*j.
j*(j + 2)**2*(j + 5)
Suppose 4*y**3 - 40*y**2 - 508*y + 544 = 0. What is y?
-8, 1, 17
Factor 595*i**3 + 285*i**2 - 270*i + 40.
5*(i + 1)*(7*i - 2)*(17*i - 4)
Find v such that v**4 + 6*v**3 + 12*v**2 + 8*v = 0.
-2, 0
Suppose -14*f**5/5 - 40*f**4 + 784*f**3/5 + 2004*f**2/5 - 5922*f/5 - 1836/5 = 0. What is f?
-17, -3, -2/7, 3
Let 3*f**3/7 + 48*f**2/7 - 675*f/7 = 0. What is f?
-25, 0, 9
Determine r, given that r**4/4 + 97*r**3/4 = 0.
-97, 0
Let -4*f**5 + 12*f**3 + 8*f**2 = 0. Calculate f.
-1, 0, 2
Find v such that 189*v**3 - 870*v**2 - 369*v - 30 = 0.
-2/7, -1/9, 5
Find c such that -10*c**4 - 15*c**3 + 85*c**2 - 60*c = 0.
-4, 0, 1, 3/2
Let -4*k**4 - 336*k**3 - 1300*k**2 - 1608*k - 640 = 0. Calculate k.
-80, -2, -1
Factor -2*c**4/11 + 12538*c**3/11 - 2381460*c**2 + 1657495400*c + 1659878000.
-2*(c - 2090)**3*(c + 1)/11
Let 4*w**2 + 284*w - 3608 = 0. Calculate w.
-82, 11
Let 2*r**2 + 104*r - 106 = 0. What is r?
-53, 1
Suppose -2*u**4/3 + 14*u**3/3 - 2*u**2/3 - 18*u - 12 = 0. Calculate u.
-1, 3, 6
Factor 2*t**5 - 64*t**4.
2*t**4*(t - 32)
Determine h so that -4*h**5/7 - 23*h**4/7 - 10*h**3/7 + 4*h**2 + 2*h - 5/7 = 0.
-5, -1, 1/4, 1
Factor -b**2 + 162*b - 161.
-(b - 161)*(b - 1)
What is t in t**2/5 + 264*t/5 - 53 = 0?
-265, 1
Suppose -2*z**2/13 - 8752*z/13 - 9574688/13 = 0. Calculate z.
-2188
Find y, given that -y**3/2 - 430*y**2 - 92450*y = 0.
-430, 0
Find c, given that c**3 - 496*c**2 + 495*c = 0.
0, 1, 495
Determine f, given that 15*f**3/4 + 201*f**2/4 + 177*f + 63 = 0.
-7, -6, -2/5
Suppose -4*x**3 + 100*x**2 + 112*x - 208 = 0. Calculate x.
-2, 1, 26
Determine f so that -f**2 - 300*f - 22500 = 0.
-150
What is j in 8*j**3/7 + 174*j**2/7 - 44*j/7 = 0?
-22, 0, 1/4
Factor 8*t**3/3 - 140*t**2 + 1728*t + 2916.
4*(t - 27)**2*(2*t + 3)/3
Find h such that 4*h**5 - 20*h**4 + 28*h**3 - 12*h**2 = 0.
0, 1, 3
Determine n, given that -4*n**3/9 - 136*n**2/3 - 1196*n/9 - 88 = 0.
-99, -2, -1
Factor 4*w**4 - 128*w**3 - 1816*w**2 - 3232*w - 1548.
4*(w - 43)*(w + 1)**2*(w + 9)
Factor w**4/4 - w**3/2 + w/2 - 1/4.
(w - 1)**3*(w + 1)/4
Factor 3645*u**4 + 1215*u**3 - 2700*u**2 - 1840*u - 320.
5*(u - 1)*(9*u + 4)**3
Factor -4*h**2/3 + 108*h.
-4*h*(h - 81)/3
Factor -3*i**4 + 24*i**3 - 21*i**2.
-3*i**2*(i - 7)*(i - 1)
Let -w**3/6 - 7*w**2/3 - 13*w/6 = 0. What is w?
-13, -1, 0
What is q in -2*q**5 - 4*q**4/5 + 16*q**3/5 + 4*q**2/5 - 6*q/5 = 0?
-1, 0, 3/5, 1
Find z such that -z**2/2 + 716*z - 256328 = 0.
716
Factor -5*w**2 - 50*w + 55.
-5*(w - 1)*(w + 11)
Solve -2*f**4/3 - 58*f**3/3 - 160*f**2/3 - 104*f/3 = 0 for f.
-26, -2, -1, 0
Solve -3*h**4/7 + 24*h**3 + 3*h**2/7 - 24*h = 0 for h.
-1, 0, 1, 56
Factor 550*z**3/9 - 490*z**2/9 + 128*z/9 - 8/9.
2*(5*z - 2)**2*(11*z - 1)/9
Factor -4*c**4 + 12*c**3 + 12*c**2 - 44*c + 24.
-4*(c - 3)*(c - 1)**2*(c + 2)
What is z in 3*z**5 - 15*z**4/4 - 81*z**3/4 + 177*z**2/4 - 111*z/4 + 9/2 = 0?
-3, 1/4, 1, 2
Let -4*t**2 - 7380*t - 14744 = 0. Calculate t.
-1843, -2
Factor -2*c**5/17 - 12*c**4/17 - 26*c**3/17 - 24*c**2/17 - 8*c/17.
-2*c*(c + 1)**2*(c + 2)**2/17
Suppose 2*b**5/19 - 4*b**4/19 - 6*b**3/19 + 8*b**2/19 + 8*b/19 = 0. Calculate b.
-1, 0, 2
Factor 2*n**2/9 + 7016*n/9 + 6153032/9.
2*(n + 1754)**2/9
Factor 4*x**5/9 - 140*x**4/9 + 88*x**3/3.
4*x**3*(x - 33)*(x - 2)/9
Factor u**4/2 - 12*u**3 - 143*u**2 + 1128*u - 3627/2.
(u - 31)*(u - 3)**2*(u + 13)/2
Suppose l**4/3 + 5*l**3/3 - 7*l**2/3 - 5*l/3 + 2 = 0. Calculate l.
-6, -1, 1
Factor f**4 - f**3 - f**2 + f.
f*(f - 1)**2*(f + 1)
Factor -4*r**3 + 20*r**2 + 612*r - 4212.
-4*(r - 9)**2*(r + 13)
Factor 22*m**3/7 + 12*m**2/7.
2*m**2*(11*m + 6)/7
Factor -5*l**3 + 20*l**2 - 5*l - 30.
-5*(l - 3)*(l - 2)*(l + 1)
Factor s**4 - 17*s**3 + 15*s**2 + 517*s + 484.
(s - 11)**2*(s + 1)*(s + 4)
Determine a so that a**5 + 151*a**4 + 150*a**3 = 0.
-150, -1, 0
Factor 3*h**4 + 57*h**3 + 291*h**2 + 135*h - 486.
3*(h - 1)*(h + 2)*(h + 9)**2
Factor -l**4/4 - 17*l**3/4 - 4*l**2.
-l**2*(l + 1)*(l + 16)/4
Factor i**3 + 5973*i**2 + 11892243*i + 7892485271.
(i + 1991)**3
Let 4*s**4 + 112*s**3 + 768*s**2 = 0. Calculate s.
-16, -12, 0
What is h in 25*h**5 + 120*h**4 + 214*h**3 + 168*h**2 + 49*h = 0?
-7/5, -1, 0
Factor 35*k**3 + 20*k**2 - 85*k + 30.
5*(k - 1)*(k + 2)*(7*k - 3)
Factor -m**3 - 51*m**2 + 54*m + 104.
-(m - 2)*(m + 1)*(m + 52)
Find h such that 2*h**5/7 + 50*h**4/7 + 46*h**3/7 - 50*h**2/7 - 48*h/7 = 0.
-24, -1, 0, 1
Find o such that o**5/5 + 8*o**4 - 2*o**3/5 - 16*o**2 + o/5 + 8 = 0.
-40, -1, 1
What is u in -4*u**2/5 + 32*u/5 - 28/5 = 0?
1, 7
Find l such that 4*l**5 - 436*l**4 + 12912*l**3 - 55744*l**2 + 43264*l = 0.
0, 1, 4, 52
What is v in 5*v**4 + 30*v**3 = 0?
-6, 0
Factor 3*w**2/2 - 111*w - 720.
3*(w - 80)*(w + 6)/2
Suppose 2*o**5 - 97*o**4 + 43*o**3 + 238*o**2 + 96*o = 0. What is o?
-1, -1/2, 0, 2, 48
Factor -4*j**2/3 + 76*j/3 - 64.
-4*(j - 16)*(j - 3)/3
What is r in 2*r**3/13 - 2586*r**2/13 + 15462*r/13 - 1782 = 0?
3, 1287
Factor 3*b**4 - 15*b**3 - 144*b**2 + 756*b.
3*b*(b - 6)**2*(b + 7)
Factor -j**3/3 + 85*j**2/3 - 158*j/3 - 664/3.
-(j - 83)*(j - 4)*(j + 2)/3
Solve -3*r**4 + 81*r**3 = 0 for r.
0, 27
Solve -5*t**2 + 250*t - 3125 = 0 for t.
25
Factor -3*h**2 + 381*h + 384.
-3*(h - 128)*(h + 1)
Factor -m**4/3 - 31*m**3/3 + 65*m**2/3 - 11*m.
-m*(m - 1)**2*(m + 33)/3
Factor 4*m**2/5 + 852*m/5 + 45369/5.
(2*m + 213)**2/5
Suppose -2*o**2/3 - 166*o/3 - 632/3 = 0. Calculate o.
-79, -4
Factor l**2/2 + 5*l/2.
l*(l + 5)/2
Find i, given that 20*i**3 + 595*i**2 - 770*i + 155 = 0.
-31, 1/4, 1
Solve g**5 + 134*g**4 + 130*g**3 - 400*g**2 - 131*g + 266 = 0 for g.
-133, -2, -1, 1
Let 2*y**2/11 + 10*y/11 + 8/11 = 0. Calculate y.
-4, -1
Suppose 3*h**2 + 93*h + 174 = 0. What is h?
-29, -2
Factor -x**4/3 - 31*x**3 + x**2/3 + 31*x.
-x*(x - 1)*(x + 1)*(x + 93)/3
Let -30*q**2 + 514*q - 68 = 0. What is q?
2/15, 17
Factor k**4/8 + k**3/4 - 9*k**2/8 - 9*k/4.
k*(k - 3)*(k + 2)*(k + 3)/8
Let 3*m**3 + 168*m**2 + 2037*m + 1872 = 0.