2)*(p + 2)
Determine z so that -z**4 - 14*z**3/3 - 13*z**2/3 + 2*z = 0.
-3, -2, 0, 1/3
Suppose -24*w**4 - 92*w**3 - 80*w**2 + 16*w = 0. Calculate w.
-2, 0, 1/6
Let -2*l**2/15 + 46*l/15 = 0. What is l?
0, 23
Factor 3*w**2/2 - 3*w - 45/2.
3*(w - 5)*(w + 3)/2
Determine q so that -q**3 + 29*q**2 - 22*q - 168 = 0.
-2, 3, 28
Determine q, given that 3*q**5 - 66*q**4 + 552*q**3 - 2160*q**2 + 3888*q - 2592 = 0.
2, 6
Factor -2*d**3/7 - 208*d**2/7 + 1082*d/7 - 872/7.
-2*(d - 4)*(d - 1)*(d + 109)/7
Find o such that -2*o**2 - 182*o - 180 = 0.
-90, -1
Factor 5*m**2 + 1525*m - 3070.
5*(m - 2)*(m + 307)
Factor -5*g**4 - 50*g**3 - 165*g**2 - 220*g - 100.
-5*(g + 1)*(g + 2)**2*(g + 5)
Factor -d**3/7 - 15*d**2/7 - 2*d.
-d*(d + 1)*(d + 14)/7
Factor -10*w**2/9 + 388*w/9 - 304/9.
-2*(w - 38)*(5*w - 4)/9
What is n in 2*n**2 + 432*n + 23328 = 0?
-108
Factor -3*z**4 - 48*z**3 + 9*z**2 + 138*z - 96.
-3*(z - 1)**2*(z + 2)*(z + 16)
Solve -3*c**2/8 - 45*c/4 - 87/8 = 0 for c.
-29, -1
Find o such that 3*o**3 + 54*o**2 + 213*o + 234 = 0.
-13, -3, -2
Solve 144*g**2 + 120*g + 25 = 0.
-5/12
Suppose -2*s**5/3 + 118*s**4/3 - 764*s**3/3 + 1912*s**2/3 - 2096*s/3 + 832/3 = 0. Calculate s.
1, 2, 52
Find b, given that 2*b**2/3 + 8*b/3 - 640/3 = 0.
-20, 16
Let -2*r**2/7 + 184*r = 0. Calculate r.
0, 644
Factor -d**2/6 - 50*d/3 + 106.
-(d - 6)*(d + 106)/6
Determine n, given that -n**5/5 - 17*n**4/5 - 56*n**3/5 - 52*n**2/5 = 0.
-13, -2, 0
What is a in -2*a**3 + 132*a**2 = 0?
0, 66
Factor 4*q**4 - 52*q**3 + 240*q**2 - 464*q + 320.
4*(q - 5)*(q - 4)*(q - 2)**2
Suppose -2*y**5/15 + 14*y**3/15 + 4*y**2/5 = 0. Calculate y.
-2, -1, 0, 3
Find i, given that -2*i**3/15 + 328*i**2/5 + 658*i/5 + 988/15 = 0.
-1, 494
Let -2*j**3/7 - 24*j**2/7 - 6*j + 28 = 0. What is j?
-7, 2
Factor 3*b**4 + 21*b**3 + 51*b**2 + 51*b + 18.
3*(b + 1)**2*(b + 2)*(b + 3)
Determine d, given that -98*d**5/3 + 84*d**4 - 218*d**3/3 + 24*d**2 - 8*d/3 = 0.
0, 2/7, 1
Let 36*x**4 + 912*x**3 - 2636*x**2 + 1448*x - 224 = 0. What is x?
-28, 1/3, 2
Suppose -2*c**4/9 - 8*c**3/9 + 14*c**2/9 + 20*c/9 = 0. Calculate c.
-5, -1, 0, 2
Factor 5*x**4 - 70*x**3 - 155*x**2 - 80*x.
5*x*(x - 16)*(x + 1)**2
Find u, given that 3*u**4/8 + 3*u**3 - 249*u**2/2 + 450*u - 432 = 0.
-24, 2, 12
Factor -15*i**3 - 171*i**2 - 345*i - 189.
-3*(i + 1)*(i + 9)*(5*i + 7)
Factor j**4/3 + 2*j**3/3 - j**2 - 4*j/3 + 4/3.
(j - 1)**2*(j + 2)**2/3
Find u such that 2*u**5 - 26*u**4 - 46*u**3 + 274*u**2 - 316*u + 112 = 0.
-4, 1, 14
Suppose z**5/4 + 675*z**4/4 + 151875*z**3/4 + 11390625*z**2/4 = 0. Calculate z.
-225, 0
Suppose -s**4/3 - 32*s**3/3 = 0. Calculate s.
-32, 0
What is w in w**5/5 - 11*w**4/5 - 77*w**3/5 - 53*w**2/5 + 76*w/5 + 64/5 = 0?
-4, -1, 1, 16
Let -5*u**4 - 150*u**3 - 1125*u**2 = 0. What is u?
-15, 0
Solve -8*u**4 + 104*u**3 - 498*u**2 + 1040*u - 800 = 0 for u.
5/2, 4
Factor 14*y**2 + 136*y - 40.
2*(y + 10)*(7*y - 2)
Suppose 6*z**5 + 440*z**4 + 32840*z**3/3 + 96960*z**2 + 115200*z + 36864 = 0. Calculate z.
-24, -2/3
Factor -3*s**2/2 - 360*s + 726.
-3*(s - 2)*(s + 242)/2
Find c, given that -507*c**4/2 - 2561*c**3 + 15167*c**2/6 + 838*c/3 + 22/3 = 0.
-11, -2/39, 1
Suppose -126*f**4 - 20*f**3 + 16*f**2 = 0. Calculate f.
-4/9, 0, 2/7
Solve -3*h**5/8 - 165*h**4/2 + 1329*h**3/8 - 333*h**2/4 = 0 for h.
-222, 0, 1
Solve 2*f**2 + 2082*f - 2084 = 0 for f.
-1042, 1
Factor 4*v**3 - 4*v**2 - 32*v + 48.
4*(v - 2)**2*(v + 3)
Factor t**2/2 + 124*t + 7688.
(t + 124)**2/2
Factor o**4/4 - 255*o**3/4 - 261*o**2/4 + 1283*o/4 - 192.
(o - 256)*(o - 1)**2*(o + 3)/4
Solve -2*o**3/3 + 2*o**2 + 6*o + 10/3 = 0 for o.
-1, 5
Factor -2*b**4/9 + 28*b**3 - 1098*b**2 + 13608*b - 52488.
-2*(b - 54)**2*(b - 9)**2/9
Factor -48*g**2 - 39*g + 9.
-3*(g + 1)*(16*g - 3)
Factor 5*w**2 + 3200*w + 512000.
5*(w + 320)**2
Factor 75*w**5/7 - 330*w**4/7 + 3*w**3/7 + 792*w**2/7 + 432*w/7.
3*w*(w - 3)**2*(5*w + 4)**2/7
Factor -5*c**2/2 + 39*c/8 + 1/4.
-(c - 2)*(20*c + 1)/8
Solve -24*y**5 - 238*y**4 - 850*y**3 - 1278*y**2 - 702*y - 108 = 0 for y.
-3, -2/3, -1/4
Factor -3*q**3/7 + 1761*q**2/7 - 259305*q/7 + 257547/7.
-3*(q - 293)**2*(q - 1)/7
Factor -3*k**2/7 - 2328*k/7 - 451632/7.
-3*(k + 388)**2/7
Let h**3/5 - 3*h**2/5 + 4/5 = 0. What is h?
-1, 2
Factor -14*w**2/3 - 130*w/9 - 4/3.
-2*(w + 3)*(21*w + 2)/9
Solve -49*o**5/3 + 126*o**4 - 376*o**3 + 1616*o**2/3 - 368*o + 96 = 0.
6/7, 2
Factor -5*a**3/4 - 455*a**2/4 - 445*a/2.
-5*a*(a + 2)*(a + 89)/4
Solve z**3/5 + 3*z**2/5 - 9*z/5 + 1 = 0 for z.
-5, 1
Suppose -4*n**2/7 + 192*n/7 + 400/7 = 0. What is n?
-2, 50
Factor 3*v**2 + 177*v - 180.
3*(v - 1)*(v + 60)
Let -21*q**5/2 + 795*q**4 + 12489*q**3/2 + 8859*q**2 - 11904*q - 3984 = 0. What is q?
-4, -2/7, 1, 83
Find o, given that -2*o**2/11 + 30*o/11 - 112/11 = 0.
7, 8
Factor -2*u**2 - 2*u + 40.
-2*(u - 4)*(u + 5)
Factor 2*j**3/7 + 32*j**2/7 + 96*j/7.
2*j*(j + 4)*(j + 12)/7
Let -392*p**5/3 + 1694*p**4/3 - 160*p**3 - 104*p**2/3 + 32*p/3 = 0. Calculate p.
-1/4, 0, 2/7, 4
Factor 3*v**2/2 + 8*v + 10.
(v + 2)*(3*v + 10)/2
Find y, given that 2*y**4/3 - 394*y**3 + 2356*y**2/3 = 0.
0, 2, 589
Let -9*i**4/8 + 51*i**3/8 + 87*i**2/8 - 15*i/8 - 21/4 = 0. What is i?
-1, 2/3, 7
Factor 49*s**3/5 - 168*s**2/5 - 108*s/5 - 16/5.
(s - 4)*(7*s + 2)**2/5
Solve -2*u**3 - 3*u**2/2 = 0.
-3/4, 0
Factor k**3/2 + 29*k**2 + 645*k/2.
k*(k + 15)*(k + 43)/2
Factor 60*x**2 - 88*x - 64.
4*(x - 2)*(15*x + 8)
Factor 5*h**2/2 - 83*h/2 - 17.
(h - 17)*(5*h + 2)/2
Determine d, given that 14*d**3/5 + 592*d**2/5 - 434*d/5 - 172/5 = 0.
-43, -2/7, 1
Factor 3*p**5 + 183*p**4 + 1221*p**3 - 53391*p**2.
3*p**2*(p - 13)*(p + 37)**2
Factor 2*j**4 + 10*j**3 + 6*j**2 - 10*j - 8.
2*(j - 1)*(j + 1)**2*(j + 4)
What is g in -g**3 + 75*g**2 - 1200*g + 5500 = 0?
10, 55
Suppose -4*v**4 - 126*v**3 + 64*v**2 = 0. Calculate v.
-32, 0, 1/2
Determine v, given that -98568*v**4/17 - 393384*v**3/17 - 292154*v**2/17 + 2656*v/17 - 6/17 = 0.
-3, -1, 1/222
Factor -y**5 + 497*y**4 - 496*y**3.
-y**3*(y - 496)*(y - 1)
Solve 9*d**5 + 30*d**4 - 27*d**3 - 12*d**2 = 0 for d.
-4, -1/3, 0, 1
Factor b**2/6 - 3*b/2 + 3.
(b - 6)*(b - 3)/6
Determine l, given that -5*l**2 - 290*l + 915 = 0.
-61, 3
Solve 4*m**4/3 + 1796*m**3/3 + 200701*m**2/3 - 67350*m + 16875 = 0 for m.
-225, 1/2
Factor 3*u**4/5 - 2691*u**3/5 - 5391*u**2/5 - 2697*u/5.
3*u*(u - 899)*(u + 1)**2/5
Find z, given that -z**3/4 + 155*z**2/4 - 1558*z + 4332 = 0.
3, 76
Factor -2*k**4/5 - 218*k**3/5 - 6448*k**2/5 - 5408*k.
-2*k*(k + 5)*(k + 52)**2/5
What is y in -2*y**5 - 12*y**4 + 272*y**3 + 12*y**2 - 270*y = 0?
-15, -1, 0, 1, 9
Let 2*o**4/9 - 8*o**3/9 - 4*o**2/3 + 8*o/9 + 10/9 = 0. Calculate o.
-1, 1, 5
Suppose -40*j**4/3 + 34*j**3/3 + 10*j**2/3 - 4*j/3 = 0. What is j?
-2/5, 0, 1/4, 1
Find p, given that 2*p**2/9 - 124*p/9 - 14 = 0.
-1, 63
Factor 2*a**3/11 + 564*a**2/11 + 39192*a/11 - 80656/11.
2*(a - 2)*(a + 142)**2/11
Factor 5*h**5 + 3800*h**4 + 1079150*h**3 + 134979700*h**2 + 6096887125*h - 26617267220.
5*(h - 4)*(h + 191)**4
Suppose 28*v**2/19 + 46*v/19 - 20/19 = 0. Calculate v.
-2, 5/14
Find q such that 10*q**3 - 42*q**2 + 38*q - 6 = 0.
1/5, 1, 3
Factor 2*r**4/7 + 2264*r**3/7.
2*r**3*(r + 1132)/7
Find y such that -2*y**2/5 + 2/5 = 0.
-1, 1
Suppose 6*w**2/5 - 412*w/5 - 138/5 = 0. Calculate w.
-1/3, 69
Find c, given that 3*c**4/5 - 6*c**3 - 9*c**2/5 + 96*c/5 - 12 = 0.
-2, 1, 10
Suppose -15*a**5 + 20*a**4 + 215*a**3 - 80*a**2 - 500*a - 240 = 0. Calculate a.
-3, -1, -2/3, 2, 4
Determine o so that o**3/4 - 32*o**2 + 1024*o = 0.
0, 64
Factor -5*d**4 - 105*d**3 - 90*d**2 + 200*d.
-5*d*(d - 1)*(d + 2)*(d + 20)
Factor -3*j**3/4 + 6*j**2 + 27*j/4.
-3*j*(j - 9)*(j + 1)/4
Factor -5*i**3/6 - 25*i**2/6 + 125*i/6 + 625/6.
-5*(i - 5)*(i + 5)**2/6
Solve 2*d**3/3 - 34*d**2/3 - 12*d = 0.
-1, 0, 18
Suppose -3*i**3/5 + 9*i**2/5 = 0. What is i?
0, 3
What is v in -48*v**5 - 360*v**4 - 627*v**3 - 96*v**2 + 189*v - 30 = 0?
-5, -2, -1, 1/4
Let 15*f**2 - 250*f - 85 = 0. Calculate f.
-1/3, 17
Factor -2*n**4/3 + 28*n**3 - 294*n**2.
-2*n**2*(n - 21)**2/3
Factor 2*q**4/9 + 22*q**3/9 + 22*q**2/3 + 74*q/9 + 28/9.
2*(q + 1)**2*(q + 2)*(q + 7)/9
Suppose -q**2 + 86*q - 1849 = 0. What is q?
43
Find i, given that 2*i**5/7 - 674*i**4/7 + 670*i**3/7 + 674*i**2/7 - 96*i = 0.
-1, 0, 1, 336
Factor 3*f**4 + 12*f**3 - 39*f**2 - 120*f + 144.
3*(f - 3)*(f - 1)*(f + 4)**2
Factor 