 + 2)*(a + 3)**2*(a + 12)
Factor -v**5/4 - 3*v**4 - 11*v**3 - 9*v**2/2 + 189*v/4 + 135/2.
-(v - 2)*(v + 3)**3*(v + 5)/4
Factor h**3/5 + 369*h**2/5 + 45387*h/5 + 1860867/5.
(h + 123)**3/5
Factor -37*o**2/2 + 73*o/4 + 1/4.
-(o - 1)*(74*o + 1)/4
Factor 4*s**2 + 52*s - 120.
4*(s - 2)*(s + 15)
What is g in -g**5/4 + 197*g**4/4 - 9987*g**3/4 + 27451*g**2/4 + 9409*g = 0?
-1, 0, 4, 97
Factor h**5 - 2*h**4 + 2*h**2 - h.
h*(h - 1)**3*(h + 1)
Factor -2*n**4/7 + 692*n**3/7 - 59160*n**2/7 - 121104*n/7.
-2*n*(n - 174)**2*(n + 2)/7
Solve -2*g**2/3 - 450*g = 0 for g.
-675, 0
Factor r**2/2 + 18*r + 162.
(r + 18)**2/2
Factor 4*q**5 - 112*q**4 + 1048*q**3 - 3696*q**2 + 4356*q.
4*q*(q - 11)**2*(q - 3)**2
Factor 4*p**5 - 24*p**4 + 44*p**3 - 24*p**2.
4*p**2*(p - 3)*(p - 2)*(p - 1)
Find q, given that -5*q**5 + 155*q**4 - 1755*q**3 + 8505*q**2 - 14580*q = 0.
0, 4, 9
Factor -3*u**2 - 609*u + 1854.
-3*(u - 3)*(u + 206)
Factor 4*o**2/5 - 3932*o/5 + 7848/5.
4*(o - 981)*(o - 2)/5
Determine x, given that -3*x**4 - 156*x**3 - 2583*x**2 - 13230*x = 0.
-21, -10, 0
Solve -4*s**4 + 24*s**3 - 32*s**2 = 0.
0, 2, 4
Solve -2*m**4 + 18*m**3 + 74*m**2 - 18*m - 72 = 0.
-3, -1, 1, 12
Factor 281216000*x**3 + 1622400*x**2 + 3120*x + 2.
2*(520*x + 1)**3
Find r, given that r**3/8 + 3*r**2/8 - 1/2 = 0.
-2, 1
Factor 15*k**2 - 258*k.
3*k*(5*k - 86)
Factor 2*h**2/9 - 262*h/9 - 268/3.
2*(h - 134)*(h + 3)/9
Factor 54*m**3 + 106*m**2 + 50*m - 2.
2*(m + 1)**2*(27*m - 1)
Factor 5*c**3 - 50*c**2 - 315*c + 3240.
5*(c - 9)**2*(c + 8)
Determine r, given that 43923*r**4 - 133221*r**3 + 4368*r**2 - 36*r = 0.
0, 2/121, 3
Factor -10*a**2 + 74*a + 48.
-2*(a - 8)*(5*a + 3)
Factor t**4/8 - 57*t**3/8 - 63*t**2 - 130*t.
t*(t - 65)*(t + 4)**2/8
Determine d so that d**2/3 - 118*d/3 + 999 = 0.
37, 81
Solve 3*p**2 - 27 = 0.
-3, 3
Find o, given that -3*o**2/2 + 72*o - 864 = 0.
24
Solve 4*t**4/3 - 88*t**3/3 - 100*t**2/3 + 184*t/3 = 0 for t.
-2, 0, 1, 23
Factor 4*v**4 - 12*v**3 - 960*v**2 + 6800*v.
4*v*(v - 10)**2*(v + 17)
Suppose 2*a**5 + 6*a**4 - 8*a**2 = 0. Calculate a.
-2, 0, 1
Factor -4*h**2 + 1136*h - 80656.
-4*(h - 142)**2
Factor -64*o**2 + 63*o + 1.
-(o - 1)*(64*o + 1)
What is k in -8*k**3/17 + 354*k**2/17 + 1040*k/17 - 282/17 = 0?
-3, 1/4, 47
Factor 2*r**3/5 + 66*r**2/5 - 288*r/5 + 296/5.
2*(r - 2)**2*(r + 37)/5
Factor -9*f**3/2 + 111*f**2/4 - 45*f + 27/4.
-3*(f - 3)**2*(6*f - 1)/4
Let -q**4/5 - 11*q**3/5 - q**2 + 47*q/5 - 6 = 0. What is q?
-10, -3, 1
Factor -4*z**4 + 16*z**3 + 176*z**2 - 384*z - 2304.
-4*(z - 6)**2*(z + 4)**2
Factor 2*t**4/9 - 662*t**3/3 + 54670*t**2 + 494018*t/9.
2*t*(t - 497)**2*(t + 1)/9
What is f in 45*f**3 - 6540*f**2 - 4375*f - 730 = 0?
-1/3, 146
Solve -i**4/7 + 15*i**3/7 + 34*i**2/7 = 0 for i.
-2, 0, 17
Suppose -h**4/4 + 3*h**3/2 - h**2/4 - 6*h - 4 = 0. What is h?
-1, 4
Find j such that -5*j**2 + 130*j + 1155 = 0.
-7, 33
Factor 3*z**2 - 423*z + 420.
3*(z - 140)*(z - 1)
Factor -13*z**3 - 2*z**2 + 13*z + 2.
-(z - 1)*(z + 1)*(13*z + 2)
Solve 52*f**4 - 28*f**3 - 76*f**2 + 28*f + 24 = 0 for f.
-1, -6/13, 1
Find f such that 2*f**2 + 3088*f + 1191968 = 0.
-772
Factor 5*s**5 + 10*s**4 - 5*s**3 - 10*s**2.
5*s**2*(s - 1)*(s + 1)*(s + 2)
Find p such that -3*p**4/2 + 27*p**3 - 162*p**2 + 357*p - 441/2 = 0.
1, 3, 7
Find f, given that f**5/4 - f**4/4 - f**3/4 + f**2/4 = 0.
-1, 0, 1
Factor z**3/2 + 149*z**2/2 + 5767*z/2 + 15987/2.
(z + 3)*(z + 73)**2/2
Solve 3*g**5 + 6*g**4 - 6*g**2 - 3*g = 0 for g.
-1, 0, 1
Solve -5*b**3 + 8990*b**2 - 4041005*b = 0.
0, 899
What is m in -336*m**5/5 + 5784*m**4/5 - 6573*m**3/5 + 687*m**2/5 + 534*m/5 - 96/5 = 0?
-2/7, 1/4, 1, 16
Determine k so that 5*k**4 + 730*k**3 - 15*k**2 - 2200*k - 1460 = 0.
-146, -1, 2
Factor 5*t**3 + 12*t**2 + 9*t + 2.
(t + 1)**2*(5*t + 2)
Let -5*m**3 + 110*m**2 + 2165*m + 3850 = 0. What is m?
-11, -2, 35
Factor -65*w**4 - 5*w**3 + 375*w**2 + 505*w + 190.
-5*(w + 1)**3*(13*w - 38)
Solve 15*a**3 - 13*a**2 - 226*a + 152 = 0 for a.
-19/5, 2/3, 4
Find x, given that 4*x**3 - 366*x**2 + 182*x = 0.
0, 1/2, 91
Factor -5*r**4 + 100*r**3 - 90*r**2 - 100*r + 95.
-5*(r - 19)*(r - 1)**2*(r + 1)
Find c, given that 5*c**2 + 700*c + 1380 = 0.
-138, -2
Find w such that 12*w**5 + 87*w**4 + 81*w**3 - 69*w**2 - 93*w - 18 = 0.
-6, -1, -1/4, 1
Factor -2*h**3/9 + 2*h**2 - 40*h/9.
-2*h*(h - 5)*(h - 4)/9
Determine j, given that j**5/5 - j**4/5 - 9*j**3/5 + 13*j**2/5 + 8*j/5 - 12/5 = 0.
-3, -1, 1, 2
Find h, given that -27*h**5 + 129*h**4 + 381*h**3 + 267*h**2 + 42*h = 0.
-1, -2/9, 0, 7
Factor 3*o**4 - 6*o**3 - 9*o**2.
3*o**2*(o - 3)*(o + 1)
Find t such that -4*t**3/7 + 32*t**2/7 - 68*t/7 + 40/7 = 0.
1, 2, 5
Find z, given that z**4/5 + 3*z**3/5 - 72*z**2/5 + 176*z/5 = 0.
-11, 0, 4
Factor 2*j**3/9 - 8*j**2/9 + 2*j/9 + 4/3.
2*(j - 3)*(j - 2)*(j + 1)/9
What is j in j**5/4 + 11*j**4/4 - 27*j**3/4 - 11*j**2/4 + 13*j/2 = 0?
-13, -1, 0, 1, 2
Solve 3*t**2/5 + 66*t/5 + 171/5 = 0 for t.
-19, -3
Factor -4*j**3 + 1140*j**2 - 81792*j + 80656.
-4*(j - 142)**2*(j - 1)
Factor -u**4 - 23*u**3 + 1284*u**2 + 31140*u - 32400.
-(u - 36)*(u - 1)*(u + 30)**2
Find h, given that -4*h**5/3 + 158*h**4/9 - 80*h**3 + 1364*h**2/9 - 380*h/3 + 350/9 = 0.
1, 7/6, 5
Factor -90*a**3 - 94*a**2 + 176*a + 8.
-2*(a - 1)*(a + 2)*(45*a + 2)
Factor 20*d**4 + 32*d**3 + 12*d**2.
4*d**2*(d + 1)*(5*d + 3)
Find m, given that -m**2/5 - 22*m/5 + 15 = 0.
-25, 3
Suppose 4*b**2 + 32*b + 28 = 0. What is b?
-7, -1
Factor -2*h**2/7 + 788*h - 543326.
-2*(h - 1379)**2/7
Find x, given that -4*x**3 - 8*x**2 + 4*x + 8 = 0.
-2, -1, 1
Factor f**2 + 47*f + 46.
(f + 1)*(f + 46)
Suppose 36*r**5 + 528*r**4 + 2104*r**3 + 1232*r**2 + 196*r = 0. Calculate r.
-7, -1/3, 0
Factor -3*j**4/2 - 6*j**3 - 15*j**2/2 - 3*j.
-3*j*(j + 1)**2*(j + 2)/2
Factor -98*p**2/3 - 532*p/3 - 722/3.
-2*(7*p + 19)**2/3
Factor -2*t**3/13 + 504*t**2/13 - 42336*t/13 + 1185408/13.
-2*(t - 84)**3/13
Factor 3*t**2/5 - 504*t + 105840.
3*(t - 420)**2/5
Find k, given that -3*k**2 - 36*k + 39 = 0.
-13, 1
Solve -5*d**3 + 165*d**2 + 3045*d - 105125 = 0.
-25, 29
Factor -8*z**3 - 412*z**2 - 2044*z - 920.
-4*(z + 5)*(z + 46)*(2*z + 1)
Solve 16*g**5/9 - 110*g**4/9 + 82*g**3/3 - 116*g**2/9 - 248*g/9 + 80/3 = 0.
-1, 15/8, 2
Determine p, given that 3*p**5/8 + 21*p**4/8 + 21*p**3/8 - 57*p**2/8 - 6*p + 15/2 = 0.
-5, -2, 1
Factor -2*b**2/5 - 14*b - 348/5.
-2*(b + 6)*(b + 29)/5
Factor 147*s**3 - 13461*s**2 + 7656*s - 1092.
3*(s - 91)*(7*s - 2)**2
What is q in 4*q**5/3 - 14*q**4/9 - 22*q**3/9 + 10*q**2/3 + 2*q/9 - 8/9 = 0?
-4/3, -1/2, 1
Suppose -6*l**5/11 + 1148*l**4/11 - 54528*l**3/11 - 36864*l**2/11 = 0. Calculate l.
-2/3, 0, 96
Let -m**4 - 4*m**3 - m**2 + 6*m = 0. What is m?
-3, -2, 0, 1
Determine i so that -4*i**5 + 10*i**4 + 6*i**3 - 16*i**2 - 8*i = 0.
-1, -1/2, 0, 2
Let -5*y**2 + 110*y + 2040 = 0. What is y?
-12, 34
Suppose -2*p**5 - 197*p**4 - 4899*p**3 - 2303*p**2 + 2401*p = 0. Calculate p.
-49, -1, 0, 1/2
Determine d so that d**4/2 - d**3 - 19*d**2/2 - 14*d - 6 = 0.
-2, -1, 6
Solve -2*c**2/13 + 18*c/13 = 0.
0, 9
Factor w**3/4 + 3*w**2/4.
w**2*(w + 3)/4
Factor b**3 - 19*b**2 + 63*b - 45.
(b - 15)*(b - 3)*(b - 1)
Determine i so that -19*i**2/3 + 173*i/3 - 6 = 0.
2/19, 9
Factor -27*q**2/5 + 58*q/5 - 8/5.
-(q - 2)*(27*q - 4)/5
Find x such that -3*x**2/4 + 108*x - 3888 = 0.
72
Suppose -9*n**3/8 - 573*n**2/4 + 771*n/8 + 48 = 0. What is n?
-128, -1/3, 1
Determine z so that -118*z**4 - 240*z**3 - 126*z**2 - 4*z = 0.
-1, -2/59, 0
Factor -2*k**2 - 42*k + 44.
-2*(k - 1)*(k + 22)
Factor 4*k**2 + 1220*k - 3696.
4*(k - 3)*(k + 308)
Solve -w**5/3 + 5*w**4 + 5*w**3/3 - 25*w**2 - 4*w/3 + 20 = 0 for w.
-2, -1, 1, 2, 15
Determine q so that -2*q**5/5 - 152*q**4/5 - 3036*q**3/5 - 5624*q**2/5 - 2738*q/5 = 0.
-37, -1, 0
Suppose -p**2/3 + 86*p/3 - 1408/3 = 0. Calculate p.
22, 64
Find l, given that 108*l**2/5 - 40*l - 32/5 = 0.
-4/27, 2
Suppose -z**2/5 + 72*z/5 = 0. What is z?
0, 72
Solve -4*u**3 - 160*u**2 + 516*u = 0 for u.
-43, 0, 3
Determine m so that 2*m**2/11 + 2*m - 84/11 = 0.
-14, 3
Determine k so that 10*k**3 - 207*k**2 - 106*k = 0.
-1/2, 0, 106/5
Solve -s**5/2 + 11*s**4/2 - 21*s**3 + 35*s**2 - 53*s/2 + 15/2 = 0.
1, 3, 5
Let 52*s**4 + 934*s**3/3 + 620*s**2 + 408*s - 16/3 = 0. Calculate s.
-2, 1/78
Solve -v**3/4 + 279*v**2/4 - 17835*v/4 - 231275/4 = 0.
-11, 145
What is k in -k**3/2 + 65*k*