 11)
Factor -2*b**2/5 + 58*b/5 + 12.
-2*(b - 30)*(b + 1)/5
Factor 4*b**3 - 60*b**2 - 64*b.
4*b*(b - 16)*(b + 1)
Solve 3*w**3 - 7341*w**2 - 14691*w - 7347 = 0 for w.
-1, 2449
Factor -4*d**3/7 + 24*d**2/7 - 20*d/7.
-4*d*(d - 5)*(d - 1)/7
Factor -3*x**3/4 + 9*x**2/2.
-3*x**2*(x - 6)/4
Factor -d**4/4 + 7*d**3/4 - 9*d**2/2 + 5*d - 2.
-(d - 2)**3*(d - 1)/4
Factor -4*x**3 + 64*x**2 + 420*x.
-4*x*(x - 21)*(x + 5)
Factor v**3 + 2118*v**2.
v**2*(v + 2118)
Factor 7*t**4/2 - 8*t**3 - 17*t**2/2 + 3*t.
t*(t - 3)*(t + 1)*(7*t - 2)/2
Factor f**2/2 - 23*f/2 + 21.
(f - 21)*(f - 2)/2
Factor -4*r**3 + 300*r**2 + 927*r + 702.
-(r - 78)*(2*r + 3)**2
Factor -x**2/3 - 28*x - 588.
-(x + 42)**2/3
What is h in 3*h**2 - 554*h - 185 = 0?
-1/3, 185
Factor -4*p**4 + 68*p**3 - 272*p**2 + 400*p - 192.
-4*(p - 12)*(p - 2)**2*(p - 1)
Factor -h**2/2 - 1836*h - 1685448.
-(h + 1836)**2/2
Let -5*l**3 - 25*l**2 + 320*l + 700 = 0. What is l?
-10, -2, 7
What is w in -2*w**4/17 - 54*w**3/17 - 302*w**2/17 + 774*w/17 - 416/17 = 0?
-16, -13, 1
Factor -4*t**5 + 24*t**4 - 52*t**3 + 48*t**2 - 16*t.
-4*t*(t - 2)**2*(t - 1)**2
Determine g so that 2*g**5/5 - 32*g**4/5 - 36*g**3/5 + 32*g**2/5 + 34*g/5 = 0.
-1, 0, 1, 17
Factor -2*o**4/11 + 282*o**3/11 - 828*o**2/11.
-2*o**2*(o - 138)*(o - 3)/11
Factor s**4 + 55*s**3 + 623*s**2 + 2009*s.
s*(s + 7)**2*(s + 41)
Factor -4*g**4 + 60*g**3 - 216*g**2 + 160*g.
-4*g*(g - 10)*(g - 4)*(g - 1)
Factor -36*p**2 - 32*p + 4.
-4*(p + 1)*(9*p - 1)
Factor -3*x**2 + 516*x.
-3*x*(x - 172)
Let 5*z**5 + 60*z**4 + 255*z**3 + 440*z**2 + 240*z = 0. Calculate z.
-4, -3, -1, 0
Factor 4*s**3 + 16*s**2.
4*s**2*(s + 4)
Determine i, given that 5*i**4 - 450*i**3 + 7500*i**2 - 35000*i = 0.
0, 10, 70
Solve 3*m**2/2 - 177*m + 10443/2 = 0.
59
Factor 4*x**4 + 460*x**3 + 12992*x**2 - 13456*x.
4*x*(x - 1)*(x + 58)**2
Determine i so that 2*i**2/11 + 44*i + 1434/11 = 0.
-239, -3
Factor -k**3/2 + 29*k**2/2 - 112*k + 98.
-(k - 14)**2*(k - 1)/2
Factor -16*m**5 + 12*m**4.
-4*m**4*(4*m - 3)
Factor 2*q**3 - 54*q - 108.
2*(q - 6)*(q + 3)**2
Factor -4*f**4 - 1540*f**3 - 9144*f**2 - 18224*f - 12128.
-4*(f + 2)**3*(f + 379)
Determine y, given that 84*y**3 - 40*y**2 = 0.
0, 10/21
Find n such that -2*n**5 + 10*n**4 - 2*n**3 - 34*n**2 + 44*n - 16 = 0.
-2, 1, 4
Factor -3*d**2/4 + 1527*d/4 + 1152.
-3*(d - 512)*(d + 3)/4
Solve -33*b**3 - 54*b**2 + 33*b + 54 = 0.
-18/11, -1, 1
Factor -5*u**3/3 - 65*u**2/3 - 70*u.
-5*u*(u + 6)*(u + 7)/3
Factor 2*r**4/13 + 56*r**3/13 + 444*r**2/13 + 56*r + 26.
2*(r + 1)**2*(r + 13)**2/13
Factor b**2/4 + 31*b/4 + 29/2.
(b + 2)*(b + 29)/4
Determine y, given that 2*y**2/13 - 34*y/13 + 32/13 = 0.
1, 16
Find z, given that -2*z**3 + 112*z**2 - 110*z = 0.
0, 1, 55
Solve 25*i**5 - 610*i**4 - 4985*i**3 - 4510*i**2 + 15040*i - 4960 = 0.
-4, 2/5, 1, 31
Factor 21*j**2 - 6831*j + 1950.
3*(j - 325)*(7*j - 2)
What is f in -7*f**3 + 376*f**2 - 620*f - 208 = 0?
-2/7, 2, 52
Let 3*m**2/5 - 771*m/5 - 774/5 = 0. What is m?
-1, 258
Factor s**2/3 + s - 40/3.
(s - 5)*(s + 8)/3
Factor 4*x**3 + 148*x**2 + 144*x.
4*x*(x + 1)*(x + 36)
Suppose 2*n**4/19 - 16*n**3/19 + 30*n**2/19 + 16*n/19 - 32/19 = 0. Calculate n.
-1, 1, 4
Factor 4*m**4/9 - 4*m**3/9 - 68*m**2/9 - 20*m/3.
4*m*(m - 5)*(m + 1)*(m + 3)/9
Let -2*i**3/19 + 24*i**2/19 - 90*i/19 + 108/19 = 0. What is i?
3, 6
Find d, given that 3*d**4 - 87*d**3 - 225*d**2 + 1239*d - 930 = 0.
-5, 1, 2, 31
Factor 4*u**2 - 1352*u.
4*u*(u - 338)
Find o such that -4*o**5/5 + 524*o**4 - 570264*o**3/5 + 40854888*o**2/5 + 85754268*o/5 - 126041508/5 = 0.
-3, 1, 219
Factor -2*b**5 - 14*b**4 - 16*b**3 + 32*b**2.
-2*b**2*(b - 1)*(b + 4)**2
Suppose -15*o**3 + 219*o**2 + 90*o = 0. What is o?
-2/5, 0, 15
Find n such that -n**4 + n**3 + n**2 - n = 0.
-1, 0, 1
Factor 2*r**2/11 + 238*r/11 - 44.
2*(r - 2)*(r + 121)/11
Find t, given that -35*t**3/2 + 1930*t**2 - 14830*t + 4080 = 0.
2/7, 8, 102
Factor 4*g**3 - 104*g**2.
4*g**2*(g - 26)
Factor -4*f**2 + 36504*f - 83283876.
-4*(f - 4563)**2
What is t in -2*t**5 - 134*t**4 - 132*t**3 = 0?
-66, -1, 0
Let -2*f**2/13 + 204*f - 67626 = 0. What is f?
663
Let -q**5 - 42*q**4 - 441*q**3 = 0. Calculate q.
-21, 0
Determine h, given that -15*h**5 - 9*h**4 + 30*h**3 + 18*h**2 - 15*h - 9 = 0.
-1, -3/5, 1
Factor -s**4/3 + 17*s**2/3 - 12*s + 20/3.
-(s - 2)**2*(s - 1)*(s + 5)/3
Find q, given that q**2/4 - 47*q - 192 = 0.
-4, 192
What is o in -2*o**5/13 + 114*o**4/13 + 122*o**3/13 - 346*o**2/13 - 120*o/13 + 232/13 = 0?
-2, -1, 1, 58
Factor -n**3 - 286*n**2 - 20160*n + 41472.
-(n - 2)*(n + 144)**2
Find k, given that 2*k**4/7 - 2*k**3/7 - 4*k**2/7 = 0.
-1, 0, 2
Solve -4*x**5/3 - 8*x**4 - 28*x**3/3 + 24*x**2 + 176*x/3 + 32 = 0 for x.
-3, -2, -1, 2
Determine f, given that -8*f**2 - 508*f + 256 = 0.
-64, 1/2
Determine d so that -2*d**4/5 + 158*d**3/5 - 2478*d**2/5 - 27262*d/5 + 29584/5 = 0.
-8, 1, 43
Factor 5*n**2 + 620*n - 5985.
5*(n - 9)*(n + 133)
Factor -w**4/9 - 2*w**3/9 + 4*w**2/3 - 14*w/9 + 5/9.
-(w - 1)**3*(w + 5)/9
Suppose 2*d**2/9 + 14*d/3 + 208/9 = 0. Calculate d.
-13, -8
Determine a so that -3*a**2 + 204*a - 3468 = 0.
34
Determine w so that -2*w**3/5 - 12*w**2 = 0.
-30, 0
Find o such that -4*o**5 - 88*o**4 - 508*o**3 - 808*o**2 + 512*o + 896 = 0.
-14, -4, -1, 1
Solve -2*s**2/9 - 36*s - 1264/9 = 0 for s.
-158, -4
Factor f**2/6 - 2*f + 9/2.
(f - 9)*(f - 3)/6
Suppose -7*h**5/2 + 223*h**4/6 - 143*h**3/3 - 94*h**2/3 + 12*h = 0. What is h?
-2/3, 0, 2/7, 2, 9
Determine o so that 4*o**2/5 + 240*o - 1204/5 = 0.
-301, 1
Factor x**4 + 9*x**3 + 2*x**2 - 84*x + 72.
(x - 2)*(x - 1)*(x + 6)**2
Let -484*f**2/3 - 44*f - 3 = 0. What is f?
-3/22
Suppose -4*n**3/7 + 188*n**2/7 - 348*n/7 - 540/7 = 0. What is n?
-1, 3, 45
Suppose -4*o**4/3 - 19*o**3/3 + 5*o**2/3 = 0. What is o?
-5, 0, 1/4
Factor 5*l**3 + 30*l**2 + 55*l + 30.
5*(l + 1)*(l + 2)*(l + 3)
Determine m, given that -7*m**4/3 - 22*m**3/9 + m**2/9 + 2*m/9 = 0.
-1, -1/3, 0, 2/7
Suppose j**3 + 31*j**2/5 + 32*j/5 - 48/5 = 0. What is j?
-4, -3, 4/5
Factor -5*i**3 + 575*i**2 + 1760*i + 1180.
-5*(i - 118)*(i + 1)*(i + 2)
Let -u**4/2 + 775*u**3/2 + 3897*u**2/2 + 2349*u/2 - 3510 = 0. What is u?
-3, 1, 780
Factor -6*u**3/11 - 114*u**2/11 - 498*u/11 - 390/11.
-6*(u + 1)*(u + 5)*(u + 13)/11
Factor -9*g**3 - 33*g**2 - 36*g - 12.
-3*(g + 1)*(g + 2)*(3*g + 2)
Factor 21*d**3/8 + 33*d**2/2 + 9*d/2.
3*d*(d + 6)*(7*d + 2)/8
Factor -2*g**2 + 24*g - 64.
-2*(g - 8)*(g - 4)
Factor -50*h**2/3 - 46*h/3 + 4/3.
-2*(h + 1)*(25*h - 2)/3
Factor -4*z**2/7 - 32*z/7 + 36/7.
-4*(z - 1)*(z + 9)/7
Factor -2*r**2/13 - 21356*r/13 - 57009842/13.
-2*(r + 5339)**2/13
Factor -2*j**5 + 796*j**4 + 2400*j**3 + 2404*j**2 + 802*j.
-2*j*(j - 401)*(j + 1)**3
Factor f**4 + 9*f**3 + 21*f**2 + 19*f + 6.
(f + 1)**3*(f + 6)
Factor j**5 + 58*j**4 + 878*j**3 + 4664*j**2 + 6921*j + 3078.
(j + 1)**2*(j + 9)**2*(j + 38)
Determine z, given that 5*z**2/4 + 20*z + 80 = 0.
-8
Factor -2*w**2 + 3178*w - 3176.
-2*(w - 1588)*(w - 1)
Find c, given that 2*c**2/7 + 576*c/7 - 1160/7 = 0.
-290, 2
Determine i, given that -i**5 - 3*i**4 - 3*i**3 - i**2 = 0.
-1, 0
Factor 2*i**4/9 + 82*i**3/9 + 950*i**2/9 + 722*i/3.
2*i*(i + 3)*(i + 19)**2/9
Solve -5*g**2 - 1765*g - 3510 = 0 for g.
-351, -2
Factor -2*v**2/11 + 11060*v/11 - 15290450/11.
-2*(v - 2765)**2/11
Factor -60*n**2 + 68*n - 8.
-4*(n - 1)*(15*n - 2)
Factor -5*t**4 + 325*t**3 - 6930*t**2 + 45980*t + 53240.
-5*(t - 22)**3*(t + 1)
Let s**4/4 + 9*s**3/4 - 13*s**2 = 0. What is s?
-13, 0, 4
Factor 2*n**3 + 2*n**2 - 8*n - 8.
2*(n - 2)*(n + 1)*(n + 2)
Factor -3*d**5 - 1629*d**4 + 6546*d**3 - 9834*d**2 + 6561*d - 1641.
-3*(d - 1)**4*(d + 547)
Factor 20*j**3 - 44*j**2 + 28*j - 4.
4*(j - 1)**2*(5*j - 1)
What is n in n**3 - 14*n**2 + 57*n - 72 = 0?
3, 8
Factor -7*c**2/2 + 135*c + 117/2.
-(c - 39)*(7*c + 3)/2
Factor 5*p**2 - 2120*p + 2115.
5*(p - 423)*(p - 1)
Solve -12*k**5 - 33*k**4 + 9*k**3 + 48*k**2 - 12*k = 0 for k.
-2, 0, 1/4, 1
Factor 2*i**2 + 1266*i - 1268.
2*(i - 1)*(i + 634)
Find v such that -5*v**4/2 + 18*v**3 - 31*v**2/2 - 18*v + 18 = 0.
-1, 1, 6/5, 6
Determine p, given that -p**5 + 9*p**4 + 17*p**3 - 189*p**2 - 196*p = 0.
-4, -1, 0, 7
Factor -2*m**4/5 + 518*m**3/5 - 33798*m**2/5 + 33282*m/5.
-2*m*(m - 129)**2*(m - 1)/5
Factor g**2/5 - 48*g/5 + 576/5.
(g - 24)**2/5
Factor 22*o**2/13 + 16672*o/13 - 3032/13.
2*(o + 758)*(11*o