that -w**2/9 + 128*w/9 - 127/9 = 0.
1, 127
Factor -l**2/3 - 301*l - 902/3.
-(l + 1)*(l + 902)/3
Find r such that -3*r**4 + 3*r**3 + 66*r**2 - 120*r = 0.
-5, 0, 2, 4
Determine c, given that -4*c**4 - 20*c**3 + 80*c + 64 = 0.
-4, -2, -1, 2
Determine q so that -2*q**2/9 + 700*q - 551250 = 0.
1575
What is y in 2*y**2/9 + 10*y/9 - 8 = 0?
-9, 4
Factor -92*b**3 + 172*b**2 - 68*b - 12.
-4*(b - 1)**2*(23*b + 3)
Let b**4/4 + 3*b**3/2 - 3*b**2/4 - 4*b + 3 = 0. What is b?
-6, -2, 1
Factor -3*s**3 - 336*s**2 - 9408*s.
-3*s*(s + 56)**2
Factor -3*p**4 + 63*p**3 + 210*p**2 + 144*p.
-3*p*(p - 24)*(p + 1)*(p + 2)
Let 3*y**4/2 + 6*y**3 + 6*y**2 = 0. What is y?
-2, 0
Factor j**5 - 11*j**3 - 18*j**2 - 8*j.
j*(j - 4)*(j + 1)**2*(j + 2)
Let 4*t**4 - 12*t**3 - 36*t**2 - 20*t = 0. Calculate t.
-1, 0, 5
Factor 3*b**2/2 - 39*b/2 + 33.
3*(b - 11)*(b - 2)/2
Factor 7*b**3 - 684*b**2 - 196*b.
b*(b - 98)*(7*b + 2)
Let r**5 + 24*r**4 - 122*r**3 - 252*r**2 + 769*r - 420 = 0. Calculate r.
-28, -3, 1, 5
Suppose g**5 - 4*g**4 - 3*g**3 + 10*g**2 + 8*g = 0. Calculate g.
-1, 0, 2, 4
Suppose 35*r**2 + 60*r = 0. What is r?
-12/7, 0
What is h in 3*h**2/5 + 24*h/5 + 9 = 0?
-5, -3
Factor a**5/11 + 60*a**4/11 + 122*a**3 + 13260*a**2/11 + 48841*a/11.
a*(a + 13)**2*(a + 17)**2/11
Suppose 3*x**3 + 348*x**2 - 351*x = 0. What is x?
-117, 0, 1
Determine y, given that -3*y**3/4 - 117*y**2/4 - 1521*y/4 - 6591/4 = 0.
-13
Let 60*z**2 - 62*z + 2 = 0. Calculate z.
1/30, 1
Find a, given that a**4/5 - a**3/5 - 7*a**2/5 + a/5 + 6/5 = 0.
-2, -1, 1, 3
Factor z**3 - 498*z**2 + 82668*z - 4574296.
(z - 166)**3
Factor s**3/6 - 18*s**2 + 648*s - 7776.
(s - 36)**3/6
Factor c**3 - 59*c**2/3 + 90*c - 328/3.
(c - 4)*(c - 2)*(3*c - 41)/3
Factor r**5/2 - r**4/2 - r**3 + r**2 + r/2 - 1/2.
(r - 1)**3*(r + 1)**2/2
Factor 4*a**3/7 - 52*a**2/7 + 188*a/7 - 20.
4*(a - 7)*(a - 5)*(a - 1)/7
Find w, given that -46176050*w**2 - 9610*w - 1/2 = 0.
-1/9610
Factor -2*v**2 - 188*v - 4418.
-2*(v + 47)**2
Factor 22801*u**3 - 46206*u**2 + 1212*u - 8.
(u - 2)*(151*u - 2)**2
Find s, given that -3*s**2 + 51*s + 114 = 0.
-2, 19
Factor -t**2 - 18*t.
-t*(t + 18)
Factor -2*i**2/7 + 16*i/7 - 32/7.
-2*(i - 4)**2/7
Let -2*i**2/7 - 1212*i/7 + 1214/7 = 0. What is i?
-607, 1
Factor p**5/3 + 106*p**4/3 + 3400*p**3/3 + 17936*p**2/3 - 525616*p/3 - 1097440/3.
(p - 10)*(p + 2)*(p + 38)**3/3
Factor -7*t**3/10 - 1693*t**2/5 - 40898*t + 58564/5.
-(t + 242)**2*(7*t - 2)/10
Determine n, given that -8*n**4 + 54*n**3 + 92*n**2 - 96*n = 0.
-2, 0, 3/4, 8
Factor -v**2 - 16*v - 48.
-(v + 4)*(v + 12)
Factor -2*t**3/5 - 2*t**2/5 + 16*t/5 + 24/5.
-2*(t - 3)*(t + 2)**2/5
Factor -4*l**4 - 56*l**3 - 192*l**2.
-4*l**2*(l + 6)*(l + 8)
Suppose 2*y**5/3 + 4*y**4 + 4*y**3/3 - 40*y**2/3 - 18*y - 20/3 = 0. What is y?
-5, -1, 2
Find j, given that -6*j**4 + 3*j**3 + 42*j**2 + 15*j - 18 = 0.
-2, -1, 1/2, 3
Factor 9*u**3 - 246*u**2 + 429*u + 684.
3*(u - 3)*(u + 1)*(3*u - 76)
Factor -5*t**2/4 + 5*t - 5.
-5*(t - 2)**2/4
Factor -5*u**3 - 15*u**2 + 20*u.
-5*u*(u - 1)*(u + 4)
Solve -6*y**3/7 - 225*y**2/7 + 852*y/7 - 369/7 = 0 for y.
-41, 1/2, 3
Factor -2*t**2 - 50*t.
-2*t*(t + 25)
Determine f, given that 2*f**3/11 + 2*f**2/11 - 24*f/11 = 0.
-4, 0, 3
Solve 8*k**5 + 152*k**4/3 + 326*k**3/3 + 76*k**2 - 56*k/3 - 80/3 = 0 for k.
-2, -5/6, 1/2
What is t in t**4/9 - 5*t**3/9 - t**2/9 + 5*t/9 = 0?
-1, 0, 1, 5
Solve -5*u**4 - 75*u**3 - 55*u**2 + 1155*u + 2340 = 0.
-13, -3, 4
Determine t, given that -3*t**3 + 18*t**2 + 147*t + 198 = 0.
-3, -2, 11
Solve -2*j**5/7 + 26*j**4/7 + 62*j**3/7 - 26*j**2/7 - 60*j/7 = 0.
-2, -1, 0, 1, 15
Determine n, given that -3*n**2/4 + 81*n/2 + 165/4 = 0.
-1, 55
Find c, given that -c**3/2 + 249*c**2/2 - 490*c = 0.
0, 4, 245
What is p in -64*p**5 - 768*p**4 + 1796*p**3 + 48*p**2 - 112*p = 0?
-14, -1/4, 0, 1/4, 2
Factor -5*g**2 + 120*g - 115.
-5*(g - 23)*(g - 1)
Let 5*t**2 - 440*t + 9680 = 0. Calculate t.
44
Suppose 3*j**3/4 + 9*j**2/4 + 9*j/4 + 3/4 = 0. Calculate j.
-1
Solve 21*z**2 + 23316*z + 6660 = 0.
-1110, -2/7
Factor -3*m**3 + 207*m**2 - 4761*m + 36501.
-3*(m - 23)**3
Let 2*r**3/3 - 134*r**2 = 0. What is r?
0, 201
Find k, given that 15*k**2/2 - 10570*k/3 - 2350/3 = 0.
-2/9, 470
What is r in 2*r**2/7 - 6756*r/7 + 5705442/7 = 0?
1689
Factor 3*g**4 + 1251*g**3 + 11097*g**2 + 33129*g + 33048.
3*(g + 3)**3*(g + 408)
Factor -17*z**2 - 10*z.
-z*(17*z + 10)
Factor -3*d**3 - 279*d**2 - 2061*d - 1785.
-3*(d + 1)*(d + 7)*(d + 85)
Suppose 3*s**5 - 108*s**4 + 444*s**3 + 666*s**2 - 447*s - 558 = 0. Calculate s.
-1, 1, 6, 31
Suppose 2*i**3/9 - 124*i**2/9 + 682*i/9 - 560/9 = 0. Calculate i.
1, 5, 56
Find z, given that -3*z**3/4 + 37*z**2/2 - 353*z/4 - 63/2 = 0.
-1/3, 7, 18
What is b in -b**2/2 + 3*b + 7/2 = 0?
-1, 7
Factor 4*g**3 + 104*g**2 - 220*g + 112.
4*(g - 1)**2*(g + 28)
Solve j**4/7 + j**3/7 - 18*j**2/7 - 52*j/7 - 40/7 = 0.
-2, 5
Factor -t**4 + 3*t**3 + t**2 - 3*t.
-t*(t - 3)*(t - 1)*(t + 1)
Let -c**2/2 - 3*c/2 + 65 = 0. Calculate c.
-13, 10
Determine r so that -8*r**4/3 - 22*r**3/3 - 10*r**2/3 + 4*r/3 = 0.
-2, -1, 0, 1/4
Factor 10*g**3 - 542*g**2 + 7398*g - 1458.
2*(g - 27)**2*(5*g - 1)
Determine x, given that 12*x**4 + 136*x**3 + 464*x**2 + 440*x + 100 = 0.
-5, -1, -1/3
Solve -36*g**3/5 + 5588*g**2/5 - 248*g = 0 for g.
0, 2/9, 155
Determine p so that -2*p**5 + 36*p**4 + 2430*p**3 + 21600*p**2 = 0.
-15, 0, 48
Determine t so that -5*t**3 - 1810*t**2 - 1805*t = 0.
-361, -1, 0
Solve 3*b**3 + 105*b**2 + 201*b + 99 = 0 for b.
-33, -1
Determine p so that 4*p**4 - 56*p**3 + 52*p**2 = 0.
0, 1, 13
Suppose -6*i**5/11 - 13980*i**4/11 - 41904*i**3/11 - 41892*i**2/11 - 13962*i/11 = 0. What is i?
-2327, -1, 0
Let -2*s**5/11 - 2*s**4 + 54*s**3/11 + 2*s**2 - 52*s/11 = 0. What is s?
-13, -1, 0, 1, 2
Factor 3*j**3 - 231*j**2 - 3675*j - 13377.
3*(j - 91)*(j + 7)**2
Factor -2*x**3/7 + 4*x**2/7 + 10*x.
-2*x*(x - 7)*(x + 5)/7
What is z in -z**3/8 - 7*z**2/4 + 17*z/8 + 15/4 = 0?
-15, -1, 2
Find k such that 2*k**4 - 18*k**3 - 22*k**2 + 18*k + 20 = 0.
-1, 1, 10
Factor -g**3 + 826*g**2 - 825*g.
-g*(g - 825)*(g - 1)
Determine q so that -5*q**2 + 15*q + 90 = 0.
-3, 6
Factor 4*j**5 + 28*j**4 - 36*j**3 - 28*j**2 + 32*j.
4*j*(j - 1)**2*(j + 1)*(j + 8)
Factor 4*t**3/5 + 116*t**2/5 + 44*t + 108/5.
4*(t + 1)**2*(t + 27)/5
Let 3*n**3 + 11*n**2 + 5*n - 3 = 0. Calculate n.
-3, -1, 1/3
Factor -2*p**3/13 + 12*p**2/13 + 8*p/13 - 48/13.
-2*(p - 6)*(p - 2)*(p + 2)/13
Factor -s**5/4 - 7*s**4/2 - 65*s**3/4 - 25*s**2.
-s**2*(s + 4)*(s + 5)**2/4
Factor 4*z**3/7 - 15828*z**2/7 + 15649932*z/7 + 15665764/7.
4*(z - 1979)**2*(z + 1)/7
Factor -h**2/6 - 13*h/3 + 9/2.
-(h - 1)*(h + 27)/6
Factor -4*t**4 + 8*t**3 - 8*t + 4.
-4*(t - 1)**3*(t + 1)
Suppose m**3 + 10*m**2 + 16*m = 0. What is m?
-8, -2, 0
Find z such that z**3 + 317*z**2 - z - 317 = 0.
-317, -1, 1
Factor -2*j**4 - 12*j**3 + 16*j**2 + 12*j - 14.
-2*(j - 1)**2*(j + 1)*(j + 7)
Let -y**3/3 + 11*y**2/3 - 34*y/3 + 8 = 0. Calculate y.
1, 4, 6
Factor 2*n**2 + 16*n + 30.
2*(n + 3)*(n + 5)
Factor 6*k**2 + 104*k - 1240/3.
2*(3*k - 10)*(3*k + 62)/3
Factor 4*y**2/3 - 32*y/3 + 28/3.
4*(y - 7)*(y - 1)/3
Determine g so that g**2/3 + 14*g/3 + 40/3 = 0.
-10, -4
Find q, given that 4*q**3/5 + 28*q**2/5 + 44*q/5 + 4 = 0.
-5, -1
Factor 5*f**4 + 45*f**3 - 980*f**2 + 2580*f + 3600.
5*(f - 6)**2*(f + 1)*(f + 20)
Factor 2*s**3/7 - 600*s**2/7 + 45000*s/7.
2*s*(s - 150)**2/7
Factor -2*x**3 - 2430*x**2 - 736896*x + 739328.
-2*(x - 1)*(x + 608)**2
Find z such that -3*z**5 + 4*z**4 + z**3 - 2*z**2 = 0.
-2/3, 0, 1
Factor 35*b**4 - 81*b**3 + 16*b**2 + 12*b.
b*(b - 2)*(5*b - 3)*(7*b + 2)
Factor 5*p**4/3 - 16390*p**3/3 + 4488115*p**2 - 53660860*p/3 + 53595380/3.
5*(p - 1637)**2*(p - 2)**2/3
Factor 25*u**3 + 40*u**2 - 220*u + 80.
5*(u - 2)*(u + 4)*(5*u - 2)
Find h such that h**3/3 - h**2 - 22*h/3 + 8 = 0.
-4, 1, 6
Factor 2*z**5 + 584*z**4 + 43210*z**3 + 84100*z**2.
2*z**2*(z + 2)*(z + 145)**2
Find f such that -f**4 + 78*f**3 + 173*f**2 - 1050*f + 800 = 0.
-5, 1, 2, 80
Suppose -3*l**2 - 828*l - 825 = 0. What is l?
-275, -1
Factor -2*i**3/9 + 136*i**2/9 - 520*i/9 + 512/9.
-2*(i - 64)*(i - 2)**2/9
Factor k**2 + 704*k + 123904.
(k + 352)**2
Factor y**4/7 - 2*y**2/7 + 1/7.
(y - 1)**2*(y + 1)**2/7
Find o, given that -o**5/2 + o**4/2 + 3*o**3/2 - o**2/2 - o = 0.
-1, 0, 1, 2
Factor -4*s**4 - 308*s**3 