= 0.
1, 10, 20
Factor -2*g**2 + 24*g - 22.
-2*(g - 11)*(g - 1)
Factor 2*f**4/3 - 20*f**3/3 + 74*f**2/3 - 40*f + 24.
2*(f - 3)**2*(f - 2)**2/3
Let 3*s**3 - 112*s**2 + 500*s + 384 = 0. What is s?
-2/3, 6, 32
Solve 5*o**2 + 13155*o - 13160 = 0 for o.
-2632, 1
Factor 2*t**2/7 + 822*t/7 - 824/7.
2*(t - 1)*(t + 412)/7
Suppose -55*i**5 - 60*i**4 + 105*i**3 + 10*i**2 = 0. What is i?
-2, -1/11, 0, 1
Let -q**2/2 + 7*q/2 + 15 = 0. What is q?
-3, 10
Factor -2*b**3/5 - 274*b**2/5 - 1904*b - 9248/5.
-2*(b + 1)*(b + 68)**2/5
Factor -3*k**4/5 - 138*k**3 - 37551*k**2/5 + 48852*k - 375948/5.
-3*(k - 3)**2*(k + 118)**2/5
Solve -4*h**4 + 56*h**3 - 236*h**2 + 376*h - 192 = 0.
1, 2, 3, 8
Factor -5*u**2 - 2320*u - 269120.
-5*(u + 232)**2
What is j in 8*j**3 + 12910*j**2 + 22564*j - 6448 = 0?
-1612, -2, 1/4
Find p such that -6*p**5/11 - 128*p**4/11 - 636*p**3/11 + 48*p**2 + 22*p = 0.
-11, -1/3, 0, 1
Suppose -9*x**5 + 42*x**4 + 147*x**3 + 12*x**2 - 84*x = 0. What is x?
-2, -1, 0, 2/3, 7
Factor -4*q**3/3 + 52*q**2/3 + 880*q.
-4*q*(q - 33)*(q + 20)/3
Factor -2*c**3/15 + 46*c**2/15 + 4*c - 96/5.
-2*(c - 24)*(c - 2)*(c + 3)/15
Let z**2/3 - 32*z/3 - 48 = 0. What is z?
-4, 36
Determine q so that 2*q**3 + 28*q**2 + 110*q + 84 = 0.
-7, -6, -1
Let -225*h**3 - 1860*h**2 - 484*h - 32 = 0. Calculate h.
-8, -2/15
Factor 5*p**4 - 55*p**3 + 140*p**2.
5*p**2*(p - 7)*(p - 4)
Factor 2*v**2/5 - 782*v/5 - 784/5.
2*(v - 392)*(v + 1)/5
Find l, given that 2*l**3/3 + 68*l**2/3 - 2782*l/3 + 6760 = 0.
-60, 13
Factor 2*v**3/3 + 56*v**2/3 + 392*v/3.
2*v*(v + 14)**2/3
What is g in 2*g**3/9 - 3040*g**2/9 - 6086*g/9 - 3044/9 = 0?
-1, 1522
Suppose -3*m**2/2 - 831*m = 0. What is m?
-554, 0
Determine w so that w**2/5 + 6*w - 31/5 = 0.
-31, 1
Let d**3/4 - 4*d**2 + 13*d - 12 = 0. Calculate d.
2, 12
What is s in -3*s**5/2 - 18*s**4 - 117*s**3/2 - 12*s**2 + 90*s = 0?
-6, -5, -2, 0, 1
Factor -3*k**2/2 + 888*k + 1779/2.
-3*(k - 593)*(k + 1)/2
Let -3*q**2/5 + 594*q/5 - 591/5 = 0. What is q?
1, 197
Let v**4 - v**3 = 0. Calculate v.
0, 1
Factor -u**3/3 + 14*u**2/3 - 49*u/3 + 12.
-(u - 9)*(u - 4)*(u - 1)/3
Factor s**2/2 - 79*s/2 + 39.
(s - 78)*(s - 1)/2
Suppose -3*b**4/5 - 12*b**3/5 - 9*b**2/5 = 0. Calculate b.
-3, -1, 0
Factor -363*j**3/7 - 1716*j**2/7 - 1104*j/7 - 192/7.
-3*(j + 4)*(11*j + 4)**2/7
Determine i, given that -194*i**2 + 384*i + 8 = 0.
-2/97, 2
Factor -5*j**4 + 1030*j**3 - 70380*j**2 + 1571130*j + 1642545.
-5*(j - 69)**3*(j + 1)
Factor 4*j**2 + 48*j - 112.
4*(j - 2)*(j + 14)
Factor -18*d**2 - 2644*d - 2336.
-2*(d + 146)*(9*d + 8)
Factor -t**4/7 + 66*t**3/7 + 276*t**2/7 + 40*t.
-t*(t - 70)*(t + 2)**2/7
Suppose -5*h**4 - 525*h**3 - 14515*h**2 - 36975*h + 52020 = 0. Calculate h.
-51, -4, 1
Determine h, given that -3*h**4 - 48*h**3 + 105*h**2 - 54*h = 0.
-18, 0, 1
Factor q**5 - q**3.
q**3*(q - 1)*(q + 1)
Suppose 4*y**4 + 100*y**3 + 476*y**2 + 380*y = 0. What is y?
-19, -5, -1, 0
Factor m**3 + 76*m**2 + 1280*m - 6400.
(m - 4)*(m + 40)**2
Suppose 2*d**2/15 - 10244*d/15 + 13117442/15 = 0. Calculate d.
2561
Let -3*g**3 - 21*g**2 + 30*g + 48 = 0. What is g?
-8, -1, 2
Factor 2*w**2/5 - 4*w - 30.
2*(w - 15)*(w + 5)/5
Factor -3*n**3 - 3*n**2 + 303*n - 297.
-3*(n - 9)*(n - 1)*(n + 11)
Solve 15*b**4 + 144*b**3 - 1665*b**2 + 3702*b - 1224 = 0 for b.
-17, 2/5, 3, 4
Find a such that -2*a**2/9 - 160*a - 1438/9 = 0.
-719, -1
What is r in -147*r**2 + 7980*r - 108300 = 0?
190/7
Find k such that 4*k**2 - 352*k + 7744 = 0.
44
Solve y**5 + 5*y**4 + 6*y**3 - 2*y**2 - 7*y - 3 = 0 for y.
-3, -1, 1
Factor d**2/3 + 44*d/3 + 484/3.
(d + 22)**2/3
Suppose 4*b**4 - 4*b**3 - 8*b**2 = 0. What is b?
-1, 0, 2
Find v, given that -10*v**4/11 + 4*v**3/11 + 40*v**2/11 - 16*v/11 = 0.
-2, 0, 2/5, 2
Suppose -3*f**3 - 336*f**2 - 3633*f - 3300 = 0. Calculate f.
-100, -11, -1
Solve y**4/3 - 11*y**3/3 = 0.
0, 11
Factor 2*a**2/17 - 26*a + 1308/17.
2*(a - 218)*(a - 3)/17
Solve i**3/3 + 220*i**2/3 + 4176*i + 15552 = 0.
-108, -4
Let 3*f**2 + 495*f + 978 = 0. Calculate f.
-163, -2
Factor u**3 + 19*u**2 + 99*u + 81.
(u + 1)*(u + 9)**2
Factor -5*j**2 - 1780*j - 158420.
-5*(j + 178)**2
Factor 5*t**3 - 440*t**2 - 5*t + 440.
5*(t - 88)*(t - 1)*(t + 1)
Factor -5*v**3/4 - 25*v**2/4 + 35*v/2.
-5*v*(v - 2)*(v + 7)/4
Factor 18*p**4/7 + 12*p**3 + 122*p**2/7 + 8*p + 8/7.
2*(p + 2)**2*(3*p + 1)**2/7
Solve t**3/2 - 229*t**2/2 + 7420*t - 95506 = 0 for t.
17, 106
Factor 2*f**3 + 72*f**2 + 256*f.
2*f*(f + 4)*(f + 32)
Factor -c**5/4 + 7*c**4/4 - 5*c**3/2 - c**2/2 + 11*c/4 - 5/4.
-(c - 5)*(c - 1)**3*(c + 1)/4
Determine h so that 2*h**2 + 640*h + 51200 = 0.
-160
Factor m**3/5 + 26*m**2/5 - 11*m + 28/5.
(m - 1)**2*(m + 28)/5
Find d such that 7*d**3/5 + 8*d**2/5 + d/5 = 0.
-1, -1/7, 0
Determine d, given that -3*d**5/4 + d**4 + 17*d**3/4 - 3*d**2/2 = 0.
-2, 0, 1/3, 3
Determine z, given that -2*z**3 + 272*z**2/3 - 86*z/3 - 60 = 0.
-2/3, 1, 45
Solve -3*m**5 + 15*m**4 - 24*m**3 + 12*m**2 = 0 for m.
0, 1, 2
Factor 4*t**4 - 100*t**3 + 432*t**2 - 656*t + 320.
4*(t - 20)*(t - 2)**2*(t - 1)
Factor 4*c**2 + 16*c + 12.
4*(c + 1)*(c + 3)
Factor -w**5/3 - 136*w**4/3 - 5017*w**3/3 - 26918*w**2/3 - 51740*w/3 - 33800/3.
-(w + 2)**3*(w + 65)**2/3
Let -44*j**3/7 - 142*j**2/7 - 90*j/7 + 36/7 = 0. What is j?
-2, -3/2, 3/11
Factor -2*n**3/11 - 12*n**2/11 + 18*n/11 + 28/11.
-2*(n - 2)*(n + 1)*(n + 7)/11
Let 3*d**2 + 648*d + 34992 = 0. Calculate d.
-108
Determine a, given that -2*a**2 - 8*a + 24 = 0.
-6, 2
Suppose 2*y**4 - 10*y**2 + 8 = 0. What is y?
-2, -1, 1, 2
Find w such that -2*w**4 + 26*w**3 + 36*w**2 - 104*w - 112 = 0.
-2, -1, 2, 14
Find q, given that -3*q**5 - 381*q**4 - 11904*q**3 + 12288*q**2 = 0.
-64, 0, 1
Determine h so that 3*h**4 + 12*h**3 + 18*h**2 + 12*h + 3 = 0.
-1
Factor 5*k**4 - 15*k**3 + 5*k**2 + 15*k - 10.
5*(k - 2)*(k - 1)**2*(k + 1)
Let -3*x**5/7 - 2*x**4/7 + x**3 - 2*x**2/7 = 0. What is x?
-2, 0, 1/3, 1
Determine c so that -5*c**3 - 235*c**2 + 1020*c = 0.
-51, 0, 4
Factor -2*r**2/5 - 56*r/5 + 24.
-2*(r - 2)*(r + 30)/5
Determine w so that -w**2/2 + 1/2 = 0.
-1, 1
Factor a**5/6 + 5*a**4/6 + 3*a**3/2 + 7*a**2/6 + a/3.
a*(a + 1)**3*(a + 2)/6
Let -8*c**4 + 36*c**3 - 60*c**2 + 44*c - 12 = 0. What is c?
1, 3/2
Determine v so that 5*v**5 + 105*v**4 + 85*v**3 - 305*v**2 - 90*v + 200 = 0.
-20, -2, -1, 1
Factor -t**3 - 1462*t**2.
-t**2*(t + 1462)
Find v such that -18*v**4/5 + 158*v**3/5 + 648*v**2/5 + 568*v/5 + 96/5 = 0.
-2, -1, -2/9, 12
Factor -w**2/4 + 17*w.
-w*(w - 68)/4
Factor 6*h**4/5 + 66*h**3/5 + 198*h**2/5 + 6*h - 60.
6*(h - 1)*(h + 2)*(h + 5)**2/5
Factor 2*q**3/9 - 10*q**2/9 + 14*q/9 - 2/3.
2*(q - 3)*(q - 1)**2/9
Determine m, given that -m**3/3 - 734*m**2/3 - 45140*m - 89304 = 0.
-366, -2
Factor 243*m**3 + 4806*m**2 + 7968*m + 3456.
3*(m + 18)*(9*m + 8)**2
Suppose -10*u**4 + 85*u**3/3 + 305*u**2/3 + 115*u/3 - 25 = 0. Calculate u.
-3/2, -1, 1/3, 5
Find j, given that j**3/5 - 3*j**2 - j/5 + 3 = 0.
-1, 1, 15
Let -6*j**4 + 346*j**3 - 562*j**2 + 110*j + 112 = 0. What is j?
-1/3, 1, 56
Factor h**3 - h**2 - 10*h - 8.
(h - 4)*(h + 1)*(h + 2)
Solve -2*m**3 + 60*m**2 - 406*m - 468 = 0 for m.
-1, 13, 18
Let 4*q**3 + 12*q**2 - 24*q - 32 = 0. Calculate q.
-4, -1, 2
Find l such that -4*l**4 - 148*l**3 - 1441*l**2 - 1332*l - 324 = 0.
-18, -1/2
Determine o so that -o**3/3 - 271*o**2/3 - 18760*o/3 - 17956 = 0.
-134, -3
Factor -b**4/4 - b**3 - 5*b**2/4 - b/2.
-b*(b + 1)**2*(b + 2)/4
Factor -2*g**4 - 84*g**3 - 838*g**2 - 756*g.
-2*g*(g + 1)*(g + 14)*(g + 27)
Suppose -56*j**5/5 + 1636*j**4/5 - 284*j**3/5 - 1868*j**2/5 + 68*j + 232/5 = 0. Calculate j.
-1, -2/7, 1/2, 1, 29
Find b, given that -16*b**5/15 + 6*b**4/5 + 14*b**3/15 - 6*b**2/5 + 2*b/15 = 0.
-1, 0, 1/8, 1
Factor o**3/4 + o**2/4.
o**2*(o + 1)/4
Factor 2*d**2 - 124*d + 122.
2*(d - 61)*(d - 1)
Factor 3*l**3 - 1971*l**2 + 1968*l.
3*l*(l - 656)*(l - 1)
Suppose 4*y**5/11 + 111*y**4/11 + 948*y**3/11 + 2444*y**2/11 + 1632*y/11 - 576/11 = 0. What is y?
-12, -2, 1/4
Suppose i**4 + 7*i**3 - i**2 - 7*i = 0. Calculate i.
-7, -1, 0, 1
Suppose o**2/2 + 23*o/2 - 105 = 0. What is o?
-30, 7
Factor -3*q**2 + 62*q - 961/3.
-(3*q - 31)**2/3
Find r such that -r**3 - 20*r**2 + 92*r - 96 = 0.
-24, 2
Solve -o**4 + 223*o**3 + 2772*o**2 + 11216*o + 15040 = 0.
-4, 235
Let 4*v**4 + 24*v**3 - 4*v**2 - 24*v = 0. What is v?
-6, -1, 0, 1
Find u, given that -3*u