 46*d**2 - 80*d.
d*(d - 8)*(d + 2)*(d + 5)
What is i in -i**4 - i**3 + 15*i**2 - 23*i + 10 = 0?
-5, 1, 2
Solve 28*u**5 - 92*u**4 - 256*u**3 + 80*u**2 = 0 for u.
-2, 0, 2/7, 5
Factor 5*s**4 + 60*s**3 + 145*s**2 + 90*s.
5*s*(s + 1)*(s + 2)*(s + 9)
Suppose -2*i**4/23 + 56*i**2/23 - 96*i/23 = 0. What is i?
-6, 0, 2, 4
Suppose 2*t**3/5 - 98*t**2/5 + 38*t - 94/5 = 0. Calculate t.
1, 47
Let -3*x**3 - 2019*x**2 - 340704*x - 338688 = 0. What is x?
-336, -1
Let 2*r**4/3 + 205*r**3/3 + 100*r**2/3 - 205*r/3 - 34 = 0. Calculate r.
-102, -1, -1/2, 1
Factor 2*c**2/13 + 6*c/13.
2*c*(c + 3)/13
Solve -2*h**3/7 - 20*h**2/7 - 58*h/7 - 40/7 = 0.
-5, -4, -1
Determine c so that -2*c**5/3 - 530*c**4/3 + 2*c**3/3 + 530*c**2/3 = 0.
-265, -1, 0, 1
What is y in -22*y**3 + 195*y**2/2 - 39*y + 4 = 0?
2/11, 1/4, 4
Factor 18*t**3/7 + 1578*t**2 - 14752*t/7 + 4920/7.
2*(t + 615)*(3*t - 2)**2/7
Let 4*d**2 + 1648*d = 0. What is d?
-412, 0
Solve -383*a**2 + 768*a - 4 = 0 for a.
2/383, 2
Factor -4*s**3 + 264*s**2 - 1460*s + 1200.
-4*(s - 60)*(s - 5)*(s - 1)
Suppose -108*h**3 - 36*h**2 + 357*h + 294 = 0. What is h?
-7/6, 2
Factor 2*w**3/11 - 14*w**2/11 + 12*w/11.
2*w*(w - 6)*(w - 1)/11
Suppose 8*n**5/3 + 18*n**4 + 82*n**3/3 - 56*n**2/3 - 40*n + 32/3 = 0. Calculate n.
-4, -2, 1/4, 1
Factor 2*i**4 + 254*i**3 + 7936*i**2 - 8192*i.
2*i*(i - 1)*(i + 64)**2
What is c in -2*c**2 - 334*c = 0?
-167, 0
Solve -2*a**2/3 + 328*a - 40344 = 0 for a.
246
What is y in -y**3/3 - 161*y**2/3 = 0?
-161, 0
Factor h**2/2 - 325*h/2 + 162.
(h - 324)*(h - 1)/2
Factor 3*y**3/7 + 636*y**2/7 + 1263*y/7 + 90.
3*(y + 1)**2*(y + 210)/7
Factor 4*k**3/9 - 80*k**2/3.
4*k**2*(k - 60)/9
Suppose w**2 + 38*w/5 - 16/5 = 0. Calculate w.
-8, 2/5
Solve -8*n**5 + 430*n**4 - 316*n**3 - 106*n**2 = 0 for n.
-1/4, 0, 1, 53
Factor 8*r**3 - 34*r**2 + 40*r - 8.
2*(r - 2)**2*(4*r - 1)
Factor 2*z**2/9 + 2108*z/9.
2*z*(z + 1054)/9
Suppose -35*l**4/3 + 475*l**3 - 4425*l**2 + 8375*l/3 + 1170 = 0. Calculate l.
-2/7, 1, 13, 27
Factor -4*o**2 - 3240*o + 9756.
-4*(o - 3)*(o + 813)
Solve 9*g**5 + 75*g**4 - 75*g**3 - 195*g**2 - 54*g = 0 for g.
-9, -1, -1/3, 0, 2
Solve 4*p**3/7 - 730*p**2 + 2554*p/7 = 0 for p.
0, 1/2, 1277
Factor -4*o**4/7 + 176*o**3/7 + 52*o**2 + 184*o/7.
-4*o*(o - 46)*(o + 1)**2/7
Factor -3*b**4/2 - 189*b**3/2 + 387*b**2/2 - 195*b/2.
-3*b*(b - 1)**2*(b + 65)/2
Factor -2*r**4 + 4*r**3 + 64*r**2 + 60*r - 126.
-2*(r - 7)*(r - 1)*(r + 3)**2
Let 3*l**4/2 - 1893*l**3/2 + 945*l**2 = 0. What is l?
0, 1, 630
Factor y**4/2 - 95*y**3 + 10417*y**2/2 - 66120*y + 242208.
(y - 87)**2*(y - 8)**2/2
Factor -y**5/3 - 7*y**4/3 - 11*y**3/3 - 5*y**2/3.
-y**2*(y + 1)**2*(y + 5)/3
Find b, given that 3*b**4 + 6*b**3 - 12*b**2 - 24*b = 0.
-2, 0, 2
Find j, given that -28*j**4 - 316*j**3 + 57032*j**2 + 1251120*j + 352800 = 0.
-30, -2/7, 49
Factor -33*v**3/5 + 101*v**2/5 - 72*v/5 + 4/5.
-(v - 2)*(v - 1)*(33*v - 2)/5
Factor -5*c**2 + 270*c + 275.
-5*(c - 55)*(c + 1)
Factor -5*d**2 - 1500*d.
-5*d*(d + 300)
Factor -4*j**5 - 40*j**4 - 144*j**3 - 216*j**2 - 108*j.
-4*j*(j + 1)*(j + 3)**3
Solve o**5/4 - 7*o**4/4 + 15*o**3/4 - 13*o**2/4 + o = 0 for o.
0, 1, 4
Suppose 5*t**3 + 275*t**2 + 3640*t - 3920 = 0. What is t?
-28, 1
Factor -4*t**3 - 4*t**2 + 8*t.
-4*t*(t - 1)*(t + 2)
Determine p, given that -p**3/3 + 21*p**2 - 80*p + 236/3 = 0.
2, 59
Factor 2*a**4/5 + 12*a**3/5 + 24*a**2/5 + 16*a/5.
2*a*(a + 2)**3/5
Determine d, given that -8*d**3/5 + 7*d**2/5 + 17*d/5 + 2/5 = 0.
-1, -1/8, 2
Factor 4*f**2/7 - 1004*f/7.
4*f*(f - 251)/7
Solve 47*u**5 + 92*u**4 - 51*u**3 - 92*u**2 + 4*u = 0.
-2, -1, 0, 2/47, 1
Suppose -2*x**4/7 - 4*x**3/7 + 32*x**2/7 + 64*x/7 = 0. What is x?
-4, -2, 0, 4
Factor -3*r**2/7 - 69*r/7 + 234/7.
-3*(r - 3)*(r + 26)/7
Solve -2*t**3 - 40*t**2 + 294*t - 468 = 0.
-26, 3
Find i, given that -3*i**3/2 + 48*i**2 + 3*i/2 - 48 = 0.
-1, 1, 32
Suppose k**2/11 + 7*k/11 - 60/11 = 0. What is k?
-12, 5
Let -2*i**5 - 824*i**4 - 84872*i**3 = 0. What is i?
-206, 0
Factor j**2/2 + 373*j + 139129/2.
(j + 373)**2/2
Solve -2*b**2/11 - 6*b - 64/11 = 0.
-32, -1
Suppose -i**4/3 + 134*i**3/3 - 1583*i**2 + 17420*i/3 - 16900/3 = 0. Calculate i.
2, 65
Find k, given that -2*k**4/13 - 726*k**3/13 - 65516*k**2/13 + 5208*k + 10192 = 0.
-182, -1, 2
Factor -2*j**2/5 + 2884*j/5 - 1039682/5.
-2*(j - 721)**2/5
Factor 5*b**2 + 5*b.
5*b*(b + 1)
Find o, given that 12*o**5/7 - 116*o**4/7 - 184*o**3/7 + 72*o**2/7 + 172*o/7 + 44/7 = 0.
-1, -1/3, 1, 11
What is a in 2*a**5 - 22*a**3 + 12*a**2 + 56*a - 48 = 0?
-3, -2, 1, 2
Factor 3*b**2/5 - 3*b/5 - 36/5.
3*(b - 4)*(b + 3)/5
Factor 1420*i**2/3 - 4268*i/3 + 8.
4*(i - 3)*(355*i - 2)/3
Find c such that 3*c**3/4 + 39*c**2 + 447*c/4 + 147/2 = 0.
-49, -2, -1
What is h in -3*h**5 + 33*h**4 + 126*h**3 = 0?
-3, 0, 14
Factor 10*v**3 + 75*v**2 + 80*v - 60.
5*(v + 2)*(v + 6)*(2*v - 1)
Let -r**3/6 - r**2/3 + r/6 + 1/3 = 0. Calculate r.
-2, -1, 1
Factor -a**2 + 105*a + 3096.
-(a - 129)*(a + 24)
Factor x**4/8 - 117*x**3/8 + 3593*x**2/8 - 9975*x/8 + 3249/4.
(x - 57)**2*(x - 2)*(x - 1)/8
Factor -i**2/4 - 111*i/2 + 2079/4.
-(i - 9)*(i + 231)/4
Let -v**2/5 - 58*v/5 = 0. Calculate v.
-58, 0
Suppose -4*l**2 - 48*l - 144 = 0. Calculate l.
-6
Factor -5*y**3 + 25*y**2 - 30*y.
-5*y*(y - 3)*(y - 2)
Suppose -d**3/5 + 64*d**2 + 643*d/5 + 322/5 = 0. What is d?
-1, 322
Determine b, given that -5*b**2 - 125*b - 120 = 0.
-24, -1
Find k such that -4*k**4 + 64*k**3 + 148*k**2 - 64*k - 144 = 0.
-2, -1, 1, 18
Factor 4*d**4 + 24*d**3 - 12*d**2 - 224*d - 192.
4*(d - 3)*(d + 1)*(d + 4)**2
Find r such that -3*r**2 + 33*r - 54 = 0.
2, 9
Factor -q**3/6 - 25*q**2/6 + 325*q/6 - 875/6.
-(q - 5)**2*(q + 35)/6
Let -12*x**4/5 + 284*x**3/5 - 1404*x**2/5 + 724*x/5 + 408/5 = 0. Calculate x.
-1/3, 1, 6, 17
Solve 2*t**5/5 + 4*t**4 + 16*t**3 + 32*t**2 + 32*t + 64/5 = 0 for t.
-2
Let -1728*z**4 + 9648*z**3 - 5187*z**2 + 735*z = 0. Calculate z.
0, 7/24, 5
Factor -2*j**2/13 + 30*j/13 - 100/13.
-2*(j - 10)*(j - 5)/13
Let c**3 + 50*c**2 + 97*c + 48 = 0. What is c?
-48, -1
Let -8*d**3/7 - 42*d**2 - 2808*d/7 - 1944/7 = 0. What is d?
-18, -3/4
Factor 5*p**3 - 305*p**2 - 2680*p - 5520.
5*(p - 69)*(p + 4)**2
Factor 3*w**4 + 15*w**3 - 3*w**2 - 15*w.
3*w*(w - 1)*(w + 1)*(w + 5)
Factor 2000*v**2 + 1400*v + 245.
5*(20*v + 7)**2
What is s in 4*s**5/7 + 556*s**4/7 + 3764*s**3/7 + 1292*s**2 + 9000*s/7 + 3168/7 = 0?
-132, -3, -2, -1
Solve 8*u**5/9 + 2*u**4 + 4*u**3/9 - 16*u**2/9 - 4*u/3 - 2/9 = 0.
-1, -1/4, 1
Find c, given that -4*c**2 + 1000*c - 62500 = 0.
125
Determine y, given that 9*y**5/4 + 61*y**4/4 - 61*y**3/2 - 57*y**2 + 86*y - 16 = 0.
-8, -2, 2/9, 1, 2
Find y such that 9*y**5 - 60*y**4 + 117*y**3 - 18*y**2 - 132*y + 72 = 0.
-1, 2/3, 2, 3
Determine d so that -d**5/5 + 9*d**4/5 - 19*d**3/5 - 21*d**2/5 + 92*d/5 - 12 = 0.
-2, 1, 2, 3, 5
Factor -10*k**2 - 16255*k - 8125.
-5*(k + 1625)*(2*k + 1)
Suppose 11*j**5/2 + 4*j**4 - 29*j**3 + 24*j**2 - 9*j/2 = 0. What is j?
-3, 0, 3/11, 1
Determine g, given that g**4/2 - 5*g**3/2 + 4*g**2 - 2*g = 0.
0, 1, 2
Factor 2*r**4 + 548*r**3 + 2170*r**2 + 2704*r + 1080.
2*(r + 1)**2*(r + 2)*(r + 270)
Factor -2*n**3 + 6*n + 4.
-2*(n - 2)*(n + 1)**2
Factor 2*a**3 + 80*a**2 + 800*a.
2*a*(a + 20)**2
Solve -16*x**2/5 + 44*x/5 + 12/5 = 0.
-1/4, 3
Determine s so that 10*s**5/3 + 96*s**4 + 1078*s**3/15 - 1216*s**2/15 - 376*s/5 - 224/15 = 0.
-28, -1, -2/5, 1
Factor z**2/12 - 11*z/12 + 2.
(z - 8)*(z - 3)/12
Find j such that 3*j**3 - 90*j**2 - 864*j - 1824 = 0.
-4, 38
Determine o so that -2*o**4/9 - 2*o**3 + 58*o**2/9 + 18*o + 88/9 = 0.
-11, -1, 4
Factor 4*w**2 + 8840*w - 17696.
4*(w - 2)*(w + 2212)
Factor -z**4/5 + 1092*z**3/5 - 654*z**2 + 3268*z/5 - 1089/5.
-(z - 1089)*(z - 1)**3/5
Suppose -2*w**5/5 + 12*w**4/5 - 22*w**3/5 + 4*w**2/5 + 24*w/5 - 16/5 = 0. Calculate w.
-1, 1, 2
Factor 5*s**5 - 320*s**4 + 4440*s**3 + 21760*s**2 + 23120*s.
5*s*(s - 34)**2*(s + 2)**2
Factor -5*p**3 - 580*p**2 - 3865*p - 5450.
-5*(p + 2)*(p + 5)*(p + 109)
Suppose -f**4/8 - 23*f**3/8 - 195*f**2/8 - 725*f/8 - 125 = 0. What is f?
-8, -5
Factor p**4/5 - 18*p**3 + 1933*p**2/5 + 828*p + 2116/5.
(p - 46)**2*(p + 1)**2/5
Suppose -4*z**4 - 56*z**3 + 1104*z**2 - 3744*z = 0. What is z?
-26, 0, 6
Factor g**3/2 - 131*g**2/2 - g/2 + 131/2.
(g - 131)*(g - 1)*(g + 1)/2
Let -45*p**5 - 10155*p**4 - 16745*p**3 + 12375*p**2 + 