w**4 + 12*w**3 + 16*w**2 - 64*w + 48 = 0.
-2, 2, 3
Find r such that -r**2/3 - 56*r/3 - 55/3 = 0.
-55, -1
Factor 4*l**4 + 256*l**3 - 2892*l**2 + 5000*l - 2368.
4*(l - 8)*(l - 1)**2*(l + 74)
Factor -3*m**3/7 + 201*m**2/7 - 159*m + 915/7.
-3*(m - 61)*(m - 5)*(m - 1)/7
Factor 2*l**4 - 24*l**3 + 102*l**2 - 176*l + 96.
2*(l - 4)**2*(l - 3)*(l - 1)
Factor 5*n**2 + 75*n - 770.
5*(n - 7)*(n + 22)
Factor -z**2 - 75*z + 154.
-(z - 2)*(z + 77)
Factor -35*p**3 + 60*p**2 + 20*p.
-5*p*(p - 2)*(7*p + 2)
Factor g**2/3 + 3581*g/3 - 7166/3.
(g - 2)*(g + 3583)/3
Find b, given that 2*b**4/7 + 216*b**3/7 + 1224*b**2/7 = 0.
-102, -6, 0
Let 404524006*q**5/11 - 4134828*q**4/11 + 14088*q**3/11 - 16*q**2/11 = 0. Calculate q.
0, 2/587
Find x such that -3*x**5/4 - 69*x**4/2 - 459*x**3 - 2835*x**2/2 - 3969*x/4 = 0.
-21, -3, -1, 0
Factor 3*i**3/2 - 24*i**2 - 51*i/2.
3*i*(i - 17)*(i + 1)/2
Determine w so that -w**5/8 - 91*w**4/4 - 3955*w**3/4 + 8417*w**2/2 - 42873*w/8 + 8649/4 = 0.
-93, 1, 2
Suppose -12*m**5 - 663*m**4 - 10713*m**3 - 42537*m**2 - 39975*m - 7500 = 0. Calculate m.
-25, -4, -1, -1/4
Factor -2*c**4/7 - 20*c**3/7 - 8*c**2 - 48*c/7.
-2*c*(c + 2)**2*(c + 6)/7
Solve -h**5 + 16*h**4 + 35*h**3 + 18*h**2 = 0 for h.
-1, 0, 18
Factor -2*u**2/17 + 36*u/17.
-2*u*(u - 18)/17
Suppose 3*z**4 - 27*z**3 - 303*z**2 - 513*z - 240 = 0. Calculate z.
-5, -1, 16
Factor j**4/5 + 22*j**3/5 + 121*j**2/5.
j**2*(j + 11)**2/5
Factor i**2/5 + 29*i/5.
i*(i + 29)/5
Solve 3*u**4 - 218*u**3 - 525*u**2 - 4*u + 300 = 0 for u.
-2, -1, 2/3, 75
Suppose -p**3/7 - 13*p**2/7 - 55*p/7 - 75/7 = 0. What is p?
-5, -3
Find q such that -2*q**5 - 14*q**4 - 34*q**3 - 34*q**2 - 12*q = 0.
-3, -2, -1, 0
Find p such that -2*p**4 - 22*p**3 - 12*p**2 + 88*p + 80 = 0.
-10, -2, -1, 2
Factor 5*m**2 - 100*m + 95.
5*(m - 19)*(m - 1)
Factor -5*y**3 - 395*y**2 - 7590*y - 7200.
-5*(y + 1)*(y + 30)*(y + 48)
Factor -v**4 + 38*v**3 - 105*v**2 - 4*v + 140.
-(v - 35)*(v - 2)**2*(v + 1)
Suppose -5*i**4 + 75*i**3 - 65*i**2 - 795*i - 650 = 0. What is i?
-2, -1, 5, 13
Factor 3*i**4 - 66*i**3 + 60*i**2 + 66*i - 63.
3*(i - 21)*(i - 1)**2*(i + 1)
What is n in -4*n**2 + 88*n + 1116 = 0?
-9, 31
Let -b**5/3 + 58*b**3/3 - 56*b**2/3 - 19*b + 56/3 = 0. What is b?
-8, -1, 1, 7
Suppose 4*g**2 - 164*g + 592 = 0. Calculate g.
4, 37
Factor 3*y**3 - 1305*y**2 - 2619*y - 1311.
3*(y - 437)*(y + 1)**2
Solve f**4/2 + 19*f**3/2 + 17*f**2/2 - 19*f/2 - 9 = 0.
-18, -1, 1
Factor -16*z**4/7 + z**3/7.
-z**3*(16*z - 1)/7
What is d in -2*d**3/7 + 2*d**2/7 + 10*d/7 + 6/7 = 0?
-1, 3
Find s, given that 4*s**2 - 308*s - 632 = 0.
-2, 79
Factor 2*x**4/5 - 24*x**3/5 + 96*x**2/5 - 32*x + 96/5.
2*(x - 6)*(x - 2)**3/5
Factor -5*z**3 + 575*z**2 + 45*z - 5175.
-5*(z - 115)*(z - 3)*(z + 3)
What is k in 2*k**4/3 + 22*k**3/3 + 38*k**2/3 + 6*k = 0?
-9, -1, 0
Determine d so that 4*d**2/3 + 1064*d/3 + 70756/3 = 0.
-133
Factor -s**3 - 4*s**2 + 3*s + 18.
-(s - 2)*(s + 3)**2
Factor -5*j**3 + 39*j**2 - 27*j - 7.
-(j - 7)*(j - 1)*(5*j + 1)
Determine w so that w**3 - 6*w**2 - 7*w = 0.
-1, 0, 7
Solve -4*v**4/3 - 14*v**3/9 + 2*v/9 = 0.
-1, -1/2, 0, 1/3
Factor 50*q**2/9 - 3680*q/9 + 67712/9.
2*(5*q - 184)**2/9
Solve 9*a**4/2 - 51*a**3/2 - 27*a**2/2 + 51*a/2 + 9 = 0 for a.
-1, -1/3, 1, 6
Factor 3*y**5 - 132*y**4 - 864*y**3 - 1770*y**2 - 1491*y - 450.
3*(y - 50)*(y + 1)**3*(y + 3)
Factor 2*y**4 - 72*y**3 + 190*y**2 + 264*y.
2*y*(y - 33)*(y - 4)*(y + 1)
Determine n so that -2*n**2/19 - 7356*n/19 - 6763842/19 = 0.
-1839
Solve 21*a**2/5 + 12*a/5 - 12 = 0 for a.
-2, 10/7
Let -k**2/8 + 6*k + 49/8 = 0. What is k?
-1, 49
Factor -5*z**3 - 140*z**2 - 980*z.
-5*z*(z + 14)**2
Factor -5*y**3 - 275*y**2 + 3125*y - 8125.
-5*(y - 5)**2*(y + 65)
Determine r, given that -4*r**2 + 5352*r - 1790244 = 0.
669
What is a in 2*a**2 - 152*a + 2888 = 0?
38
Factor 1122*u**2 + 2*u.
2*u*(561*u + 1)
What is u in -2*u**5/19 - 34*u**4/19 - 86*u**3/19 + 482*u**2/19 - 560*u/19 + 200/19 = 0?
-10, 1
Factor 3*b**2/5 + 6*b + 27/5.
3*(b + 1)*(b + 9)/5
Factor h**4/9 - 35*h**3/9 + 32*h**2/9 + 68*h/9.
h*(h - 34)*(h - 2)*(h + 1)/9
Factor 2*d**3/5 - 56*d**2/5.
2*d**2*(d - 28)/5
Suppose -3*b**3/7 - 6*b**2 + 3*b/7 + 6 = 0. What is b?
-14, -1, 1
Determine y, given that -y**5 + 3*y**4/4 + y**3 - 3*y**2/4 = 0.
-1, 0, 3/4, 1
Solve 3*g**2 - 732*g + 44652 = 0 for g.
122
Factor -5*z**2 + 675*z.
-5*z*(z - 135)
Factor -3*u**5 + 12*u**4 - 15*u**3 + 6*u**2.
-3*u**2*(u - 2)*(u - 1)**2
Factor 2*o**2/3 + 2858*o/15 - 572/15.
2*(o + 286)*(5*o - 1)/15
Factor 2*i**4/9 + 2*i**3 + 58*i**2/9 + 26*i/3 + 4.
2*(i + 1)*(i + 2)*(i + 3)**2/9
Factor 5*n**3/3 + 95*n**2/3 + 175*n/3 + 85/3.
5*(n + 1)**2*(n + 17)/3
Factor 4*z**2/9 + 88*z/9 + 28/3.
4*(z + 1)*(z + 21)/9
Solve -289*o**2/2 - 510*o - 450 = 0 for o.
-30/17
Factor -3*i**3 - 1443*i**2 + 3*i + 1443.
-3*(i - 1)*(i + 1)*(i + 481)
Factor -2*r**5 - 132*r**4 - 2042*r**3 + 4488*r**2 - 2312*r.
-2*r*(r - 1)**2*(r + 34)**2
Factor 2*u**4 + 30*u**3 + 28*u**2.
2*u**2*(u + 1)*(u + 14)
Factor 2*l**3/7 - 18*l**2/7 + 48*l/7 - 40/7.
2*(l - 5)*(l - 2)**2/7
Factor w**4 + 6*w**3/5 - 12*w**2/5 - 22*w/5 - 9/5.
(w + 1)**3*(5*w - 9)/5
Factor -4*h**2/7 - 120*h - 4896/7.
-4*(h + 6)*(h + 204)/7
Solve -2*v**5/7 + 136*v**4/7 + 2*v**3/7 - 136*v**2/7 = 0 for v.
-1, 0, 1, 68
Factor g**3 + 184*g**2.
g**2*(g + 184)
Solve -20*i**5 + 235*i**4 + 34980*i**3 - 205110*i**2 - 15931080*i - 3969405 = 0 for i.
-27, -1/4, 33
Find f such that -f**3 - 10*f**2 - 16*f = 0.
-8, -2, 0
Suppose -4*k**2 - 28*k + 72 = 0. Calculate k.
-9, 2
Find m, given that m**5/5 - m**4/5 - 11*m**3/5 - 7*m**2/5 + 2*m + 8/5 = 0.
-2, -1, 1, 4
Let -4*o**5/3 + 4*o**4 + 328*o**3/3 + 296*o**2/3 - 108*o - 308/3 = 0. What is o?
-7, -1, 1, 11
Factor -b**5 + 25*b**4 - 144*b**3 - 680*b**2 + 6800*b - 6000.
-(b - 10)**3*(b - 1)*(b + 6)
Solve -2*d**3 + 6*d**2 + 18*d + 10 = 0.
-1, 5
Find c such that -3*c**2 - 723*c - 4914 = 0.
-234, -7
Factor -2*y**2 + 2010*y.
-2*y*(y - 1005)
Find k, given that 2*k**3/5 - 42*k**2/5 + 8*k = 0.
0, 1, 20
Factor -f**3 + 34*f**2 - 65*f + 32.
-(f - 32)*(f - 1)**2
Factor p**4 - 265*p**3 - 2439*p**2 - 7371*p - 7398.
(p - 274)*(p + 3)**3
Solve 2*w**5/5 - 144*w**4/5 + 892*w**3/5 + 1184*w**2/5 - 894*w/5 - 208 = 0.
-1, 1, 8, 65
Factor g**4/8 + 3*g**3/8 - 9*g**2/2 + 4*g.
g*(g - 4)*(g - 1)*(g + 8)/8
Find s such that 4*s**3 - 1284*s**2 + 110880*s - 1233232 = 0.
13, 154
Let -5*c**4 - 268*c**3 + 663*c**2 - 502*c + 112 = 0. Calculate c.
-56, 2/5, 1
Factor 5*d**2 + 755*d - 4710.
5*(d - 6)*(d + 157)
Solve -c**4/2 + 25*c**3/2 - 83*c**2 + 48*c + 144 = 0 for c.
-1, 2, 12
Factor 4*i**5 + 7464*i**4 + 5219192*i**3 + 1619092736*i**2 + 186992125668*i - 380502495368.
4*(i - 2)*(i + 467)**4
Determine l so that l**5/4 + 5*l**4/2 - 19*l**3/4 - 91*l**2 - 147*l = 0.
-7, -2, 0, 6
Solve 16*a**4 + 20*a**3 - 12*a**2 - 20*a - 4 = 0 for a.
-1, -1/4, 1
Solve -p**2/9 - 3152*p/9 - 2483776/9 = 0 for p.
-1576
Find o, given that 2*o**4/9 - 50*o**3/9 - 56*o**2/9 + 104*o/9 = 0.
-2, 0, 1, 26
Solve b**2 + 9*b + 18 = 0.
-6, -3
Factor -b**5/3 + 7562*b**4/3 - 4762799*b**3 - 28599484*b**2/3 - 14303524*b/3.
-b*(b - 3782)**2*(b + 1)**2/3
Let 6*m**5 + 70*m**4 + 64*m**3 = 0. What is m?
-32/3, -1, 0
Suppose u**5/8 + 11*u**4/8 + 17*u**3/4 + 23*u**2/4 + 29*u/8 + 7/8 = 0. Calculate u.
-7, -1
Factor 3*c**2 + 33*c + 54.
3*(c + 2)*(c + 9)
Determine o so that 75*o**5 + 220*o**4 + 125*o**3 - 40*o**2 - 20*o = 0.
-2, -1, -1/3, 0, 2/5
Factor 3*y**3 - 9*y**2.
3*y**2*(y - 3)
Factor 2*o**3 - 6*o**2 - 48*o + 160.
2*(o - 4)**2*(o + 5)
Factor 4*q**4 - 20*q**3 + 24*q**2 + 16*q - 32.
4*(q - 2)**3*(q + 1)
Let l**5/4 + 5*l**4/4 + l**3/4 - 17*l**2/4 - 11*l/2 - 2 = 0. What is l?
-4, -1, 2
Factor -j**2/2 - 21*j/2 - 27.
-(j + 3)*(j + 18)/2
Factor -5*p**2 - 4650*p - 1081125.
-5*(p + 465)**2
Factor -3*r**3 + 9*r**2 + 3*r - 9.
-3*(r - 3)*(r - 1)*(r + 1)
Let j**2/7 - 10*j/7 - 24/7 = 0. What is j?
-2, 12
Find m, given that -24*m**2 + 141*m + 18 = 0.
-1/8, 6
Let -4*i**2 + 592*i - 21904 = 0. What is i?
74
Find i, given that 2*i**5 - 104*i**4 + 1004*i**3 + 9048*i**2 + 15138*i = 0.
-3, 0, 29
Let v**4/2 + v**3/2 - 5*v**2 + 4*v = 0. What is v?
-4, 0, 1, 2
Find i such that -i**2/2 + 194*i - 18818 = 0.
194
Factor -2*n**2/9 + 224*n/3 - 1336/9.
-2*(n - 334)*(n - 2)/9
Let -2*z**2/7 - 4*z + 30/7 = 0. What is z?
-15, 1
What is t in -4*t**4 + 236*t**3 -