alculate g.
-922, 2
Factor -v**2/3 - 91*v - 4112/3.
-(v + 16)*(v + 257)/3
Let 5*y**2 - 40*y - 45 = 0. Calculate y.
-1, 9
Find j, given that 3*j**5 - 54*j**4 + 330*j**3 - 804*j**2 + 819*j - 294 = 0.
1, 2, 7
Let -5*y**2 + 80*y + 400 = 0. What is y?
-4, 20
Factor 3*y**2 - 51*y + 48.
3*(y - 16)*(y - 1)
Factor -4*w**3 - 16*w**2 + 100*w + 112.
-4*(w - 4)*(w + 1)*(w + 7)
Factor -x**3/12 + 4*x**2/3.
-x**2*(x - 16)/12
Factor -2*n**2/7 + 34*n + 484/7.
-2*(n - 121)*(n + 2)/7
Factor -15*z**2 - 370*z + 125.
-5*(z + 25)*(3*z - 1)
Factor -2*h**2 + 508*h - 32258.
-2*(h - 127)**2
Solve -2*f**4 - 38*f**3 - 252*f**2 - 648*f - 432 = 0.
-6, -1
Suppose c**4/5 - 319*c**3/5 = 0. What is c?
0, 319
Solve -5*k**4 + 220*k**3 - 1200*k**2 + 2320*k - 1520 = 0 for k.
2, 38
Factor -2*n**3/9 - 4*n**2/9 + 128*n/9 + 256/9.
-2*(n - 8)*(n + 2)*(n + 8)/9
Let -26*z**5 - 22*z**4 + 30*z**3 + 22*z**2 - 4*z = 0. What is z?
-1, 0, 2/13, 1
Factor 3*j**5 - 21*j**4 - 24*j**3.
3*j**3*(j - 8)*(j + 1)
Suppose i**4 - 31*i**3 - 7*i**2 + 223*i - 186 = 0. Calculate i.
-3, 1, 2, 31
Determine x, given that 2*x**4 + 148*x**3/9 - 166*x**2/9 - 368*x/9 - 8 = 0.
-9, -1, -2/9, 2
Factor v**3/5 - 2*v**2/5 - 3*v/5.
v*(v - 3)*(v + 1)/5
Find y, given that -2*y**3 - 28*y**2 - 120*y - 144 = 0.
-6, -2
Let 3*p**3 + 18*p**2/5 - 27*p/5 - 6/5 = 0. Calculate p.
-2, -1/5, 1
Factor -5*m**3 + 55*m**2 - 160*m + 140.
-5*(m - 7)*(m - 2)**2
Factor -12*n**4/13 + 10*n**3/13.
-2*n**3*(6*n - 5)/13
Factor n**2/3 + 1271*n/3 - 424.
(n - 1)*(n + 1272)/3
Factor -5*r**2 + 240*r - 2880.
-5*(r - 24)**2
Factor -242*d**3/5 + 4752*d**2/5 - 23328*d/5.
-2*d*(11*d - 108)**2/5
Solve -3*x**4 - 15*x**3 - 18*x**2 = 0.
-3, -2, 0
Factor 5*a**3 + 1140*a**2 + 86640*a + 2194880.
5*(a + 76)**3
Factor 3*o**3 + 69*o**2.
3*o**2*(o + 23)
Determine j so that 4*j**3 + 68*j**2 - 148*j + 76 = 0.
-19, 1
Determine q so that 4*q**4 + 24*q**3 + 32*q**2 - 24*q - 36 = 0.
-3, -1, 1
What is m in 3*m**2/2 - 3465*m + 4002075/2 = 0?
1155
Solve n**4/3 - n**3/2 - n**2/3 = 0.
-1/2, 0, 2
Determine x, given that x**5/4 - 4*x**4 + 43*x**3/2 - 50*x**2 + 201*x/4 - 18 = 0.
1, 3, 8
Let -3*b**4 - 495*b**3/7 - 1179*b**2/7 - 957*b/7 - 36 = 0. Calculate b.
-21, -1, -4/7
Let c**2 + 10*c + 21 = 0. What is c?
-7, -3
Suppose -5*b**2 + 1580*b = 0. Calculate b.
0, 316
Let -32*h**5/5 - 496*h**4 - 12730*h**3 - 106028*h**2 + 55432*h - 35152/5 = 0. What is h?
-26, 1/4
Let -3*h**3 + 20*h**2 - 27*h + 10 = 0. Calculate h.
2/3, 1, 5
Let 3*p**3 + 6*p**2 = 0. Calculate p.
-2, 0
Suppose 2*h**3/7 + 954*h**2/7 - 956*h/7 = 0. Calculate h.
-478, 0, 1
What is q in -24*q**4/19 - 178*q**3/19 - 250*q**2/19 + 194*q/19 - 30/19 = 0?
-5, -3, 1/4, 1/3
Suppose 5*b**4 - 70*b**3 - 775*b**2 - 2220*b - 1980 = 0. Calculate b.
-3, -2, 22
Factor 4*v**5 - 1788*v**4 + 202476*v**3 - 596740*v**2 + 593184*v - 197136.
4*(v - 222)**2*(v - 1)**3
Solve i**3 - 14*i**2 + 32*i + 128 = 0.
-2, 8
Factor q**5/5 - 861*q**4/5.
q**4*(q - 861)/5
Factor 3*l**4 - 51*l**3 + 93*l**2 - 45*l.
3*l*(l - 15)*(l - 1)**2
Factor -174*m**5 + 70*m**4 - 4*m**3.
-2*m**3*(3*m - 1)*(29*m - 2)
Factor p**3 - 51*p**2 - 162*p.
p*(p - 54)*(p + 3)
Determine a so that -4*a**2 + 4*a + 24 = 0.
-2, 3
Factor -a**2/2 - 228*a - 25992.
-(a + 228)**2/2
Factor -x**3 + 24*x**2 - 144*x + 256.
-(x - 16)*(x - 4)**2
Factor -12*w**4 - 810*w**3 - 12753*w**2 - 152607*w/2 - 158184.
-3*(w + 48)*(2*w + 13)**3/2
Find c such that 2*c**5 - 30*c**4 - 102*c**3 - 106*c**2 - 36*c = 0.
-1, 0, 18
Factor 35*u**3 - 1340*u**2 + 10775*u - 2970.
5*(u - 27)*(u - 11)*(7*u - 2)
Factor 2*i**2/3 - 26*i - 440/3.
2*(i - 44)*(i + 5)/3
Find q such that 20*q**4 + 175*q**3 - 245*q**2 + 50*q = 0.
-10, 0, 1/4, 1
Factor -36*t**3 + 19520*t**2 + 15212*t - 4344.
-4*(t - 543)*(t + 1)*(9*t - 2)
Factor 2*a**3/13 + 14*a**2/13 + 12*a/13.
2*a*(a + 1)*(a + 6)/13
Solve 4*b**2 - 624*b + 620 = 0.
1, 155
Factor 2*s**2/7 - 2120*s/7 - 6378/7.
2*(s - 1063)*(s + 3)/7
Let -18*b**3/5 - 22*b**2/5 + 32*b/5 + 8/5 = 0. What is b?
-2, -2/9, 1
Solve 3*r**4/7 - 18*r**3/7 - 108*r**2/7 - 120*r/7 = 0.
-2, 0, 10
Factor -2*x**4 + 18*x**3 - 56*x**2 + 72*x - 32.
-2*(x - 4)*(x - 2)**2*(x - 1)
Factor 25*a**2 + 15*a.
5*a*(5*a + 3)
What is j in j**3/3 + 12*j**2 + 23*j + 34/3 = 0?
-34, -1
Find r such that -3*r**5 - 21*r**4 + 27*r**3 + 21*r**2 - 24*r = 0.
-8, -1, 0, 1
Factor n**3/9 - n**2/3 + 4/9.
(n - 2)**2*(n + 1)/9
Factor -5*l**4/2 - 155*l**3/2 - 825*l**2 - 3250*l - 2500.
-5*(l + 1)*(l + 10)**3/2
Factor 21*t**2 - 87*t + 66.
3*(t - 1)*(7*t - 22)
Factor -3*f**3/2 - 123*f**2/2 - 897*f/2 + 7935/2.
-3*(f - 5)*(f + 23)**2/2
Let -3*n**3 - 63*n**2 + 4116 = 0. What is n?
-14, 7
Determine z, given that -2*z**3 - 154*z**2 - 3502*z - 24854 = 0.
-43, -17
What is v in 21*v**5 - 330*v**4 + 513*v**3 - 120*v**2 - 84*v = 0?
-2/7, 0, 1, 14
Factor 3*u**3 + 84*u**2 + 147*u - 234.
3*(u - 1)*(u + 3)*(u + 26)
Factor -4*u**3/9 + 808*u**2/9 - 796*u/9 - 536/3.
-4*(u - 201)*(u - 2)*(u + 1)/9
Factor 2*y**3 + 2*y**2 - 42*y - 90.
2*(y - 5)*(y + 3)**2
Let -16*o**5/7 + 316*o**4/7 - 208*o**3/7 - 56*o**2 + 32*o + 76/7 = 0. Calculate o.
-1, -1/4, 1, 19
Find d, given that -3*d**5/5 + 3*d**4 - 6*d**3/5 - 42*d**2/5 + 9*d/5 + 27/5 = 0.
-1, 1, 3
Factor -116*q**2 - 236*q - 8.
-4*(q + 2)*(29*q + 1)
Factor -s**2/2 - 73*s + 147/2.
-(s - 1)*(s + 147)/2
Factor l**2/11 - 151*l/11 - 1956/11.
(l - 163)*(l + 12)/11
Suppose 2*o**3/3 + 50*o**2/3 + 86*o/3 - 46 = 0. Calculate o.
-23, -3, 1
Factor -141*d**4 + 840*d**3 - 1233*d**2 - 54*d.
-3*d*(d - 3)**2*(47*d + 2)
Solve -k**3 + 202*k**2 - 401*k + 200 = 0 for k.
1, 200
Suppose 7*f**2/10 - 17*f/10 + 1 = 0. Calculate f.
1, 10/7
What is r in r**5/2 - 2*r**4 - 11*r**3/2 + 33*r**2 - 36*r = 0?
-4, 0, 2, 3
Determine k, given that 9*k**3/2 - 46*k**2 + 82*k - 16 = 0.
2/9, 2, 8
Factor 2*d**3 + 2*d**2.
2*d**2*(d + 1)
Factor 6*r**3 + 130*r**2 + 82*r - 42.
2*(r + 1)*(r + 21)*(3*r - 1)
Suppose -3*c**2/8 + 339*c/2 - 1353/8 = 0. What is c?
1, 451
Factor -j**4/2 + 69*j**3/2 + 428*j**2 + 978*j - 1440.
-(j - 80)*(j - 1)*(j + 6)**2/2
Find c such that c**4/4 - 9*c**3/4 + 27*c**2/4 - 27*c/4 = 0.
0, 3
Find z such that z**4 + 3*z**3/2 - z/2 = 0.
-1, 0, 1/2
Factor o**2/6 - o/2.
o*(o - 3)/6
Find g such that g**2/4 + 15*g/4 - 54 = 0.
-24, 9
Factor 2*u**3 - 22*u**2 + 30*u + 54.
2*(u - 9)*(u - 3)*(u + 1)
Find x such that -5*x**4/3 + 49*x**3/3 - 125*x**2/3 + 21*x + 6 = 0.
-1/5, 1, 3, 6
Solve 2*b**4 - 127*b**3/2 - 150*b**2 - 203*b/2 - 17 = 0 for b.
-1, -1/4, 34
Factor -2*j**4 - 24*j**3 - 86*j**2 - 120*j - 56.
-2*(j + 1)*(j + 2)**2*(j + 7)
Let -4*n**5 - 338*n**4 - 6080*n**3 + 48164*n**2 + 82260*n + 28350 = 0. Calculate n.
-45, -1, -1/2, 7
Find n, given that -n**2/7 - 702*n/7 - 123201/7 = 0.
-351
Let -15*y**5 - 654*y**4 - 1632*y**3 - 1362*y**2 - 369*y = 0. What is y?
-41, -1, -3/5, 0
Factor f**3/5 - 7*f/5 + 6/5.
(f - 2)*(f - 1)*(f + 3)/5
Let -238*c**3/3 - 157*c**2/6 - c = 0. What is c?
-2/7, -3/68, 0
Factor 10*j**3/7 + 648*j**2/7 - 310*j + 408/7.
2*(j - 3)*(j + 68)*(5*j - 1)/7
Factor z**3/2 - 3*z**2/2 - 33*z/2 + 35/2.
(z - 7)*(z - 1)*(z + 5)/2
What is d in -d**2 + 580*d - 84100 = 0?
290
Suppose -3*k**3 - 102*k**2 - 93*k + 198 = 0. Calculate k.
-33, -2, 1
Factor 3*m**5 - 9*m**4 + 6*m**3.
3*m**3*(m - 2)*(m - 1)
Factor -g**4/6 - 25*g**3/6 - 4*g**2.
-g**2*(g + 1)*(g + 24)/6
Solve -3*g**5/2 + 91*g**4/2 - 579*g**3/2 + 645*g**2/2 - 77*g = 0 for g.
0, 1/3, 1, 7, 22
Factor -3*g**2/5 + 72*g/5 + 15.
-3*(g - 25)*(g + 1)/5
Factor -2*h**2/3 - 156*h - 9126.
-2*(h + 117)**2/3
Factor 2*o**2/3 - 20*o/3 - 154.
2*(o - 21)*(o + 11)/3
Let 4*o**2 + 3440*o + 6864 = 0. What is o?
-858, -2
Factor -2*z**5 - 30*z**4 - 54*z**3 - 26*z**2.
-2*z**2*(z + 1)**2*(z + 13)
Suppose -6*l**4/7 + 405*l**3/7 - 1737*l**2/7 + 2280*l/7 - 108 = 0. Calculate l.
1/2, 2, 63
Let -k**3/10 + 3*k**2 - 29*k/10 = 0. What is k?
0, 1, 29
Factor -5*v**2 - 20*v + 160.
-5*(v - 4)*(v + 8)
Factor -826*r**3/15 - 1642*r**2/15 - 806*r/15 + 2/3.
-2*(r + 1)**2*(413*r - 5)/15
Factor f**4 - 47*f**3/3 - 6*f**2 + 32*f/3.
f*(f - 16)*(f + 1)*(3*f - 2)/3
Suppose -4*s**3 - 16*s**2 - 4*s + 24 = 0. What is s?
-3, -2, 1
Factor 5*i**4/2 + 25*i**3 + 60*i**2 - 25*i - 125/2.
5*(i - 1)*(i + 1)*(i + 5)**2/2
Factor x**5 + 33*x**4 + 63*x**3 + 31*x**2.
x**2*(x + 1)**2*(x + 31)
Factor -243*l**2/2 + 135*l - 75/2.
-3*(9*l - 5)**2/2
Factor -4*i**5 - 216*i**4/5 + 44*i**3/5