5/5 + 4*v**4/5 + 14*v**3/5 + 8*v**2/5 = 0. Calculate v.
-1, 0, 4
Let -4*z**3 + 72*z**2 + 172*z - 240 = 0. Calculate z.
-3, 1, 20
Solve -h**4/2 + h**2/2 = 0 for h.
-1, 0, 1
Let 10*f**4 + 74*f**3 + 68*f**2 - 104*f - 48 = 0. What is f?
-6, -2, -2/5, 1
Solve -10*z**2 + 95*z - 45 = 0 for z.
1/2, 9
Factor -2*i**4 + 28*i**3 - 146*i**2 + 336*i - 288.
-2*(i - 4)**2*(i - 3)**2
Solve -2*q**4/7 + 356*q**3/7 - 1056*q**2/7 + 1052*q/7 - 50 = 0 for q.
1, 175
Find v such that 14*v**5/3 - 578*v**4/3 + 1256*v**3/3 - 104*v**2 = 0.
0, 2/7, 2, 39
Factor 5*n**5 + 10*n**4 - 180*n**3 + 430*n**2 - 385*n + 120.
5*(n - 3)*(n - 1)**3*(n + 8)
Determine w, given that -3*w**3/5 + 1527*w**2/5 = 0.
0, 509
Factor n**2/2 - 43*n/2 - 22.
(n - 44)*(n + 1)/2
Factor -4*g**2/5 - 48*g - 236/5.
-4*(g + 1)*(g + 59)/5
Determine x, given that -9*x**5 + 39*x**4 + 39*x**3 - 39*x**2 - 30*x = 0.
-1, -2/3, 0, 1, 5
Factor 4*x**4 - 152*x**3 + 1668*x**2 - 7056*x + 9936.
4*(x - 23)*(x - 6)**2*(x - 3)
Factor -57*o**2 + 174*o - 9.
-3*(o - 3)*(19*o - 1)
What is b in -2*b**4/7 - 20*b**3/7 - 18*b**2/7 = 0?
-9, -1, 0
Find z, given that 4*z**3 - 12*z**2 + 8*z = 0.
0, 1, 2
Let -2*k**3 + 14*k**2 - 24*k = 0. Calculate k.
0, 3, 4
Factor -f**4/4 - 19*f**3 - 1189*f**2/4 + 5043*f/2.
-f*(f - 6)*(f + 41)**2/4
Factor j**4/4 + j**3/2 - j**2 - 2*j.
j*(j - 2)*(j + 2)**2/4
Factor -4*j**3 - 52*j**2 + 160*j + 2800.
-4*(j - 7)*(j + 10)**2
Determine a so that 6*a**5 - 26*a**4 + 44*a**3 - 36*a**2 + 14*a - 2 = 0.
1/3, 1
Solve -3*j**2 = 0 for j.
0
Factor -4*c**3 - 648*c**2 - 34992*c - 629856.
-4*(c + 54)**3
Find h, given that -8*h**5 + 68*h**4 - 313*h**3/2 + 73*h**2/2 + 52*h + 8 = 0.
-1/4, 1, 4
Factor j**5/5 - 7*j**4/5 - 38*j**3/5 - 62*j**2/5 - 43*j/5 - 11/5.
(j - 11)*(j + 1)**4/5
Factor 15*o**2/2 + 27*o/2 + 6.
3*(o + 1)*(5*o + 4)/2
Let 4*x**2 + 384*x + 2492 = 0. What is x?
-89, -7
Factor -f**3/3 - 5*f**2 + 52*f/3 - 12.
-(f - 2)*(f - 1)*(f + 18)/3
Find t, given that -9*t**4 + 258*t**3 - 1239*t**2 + 1542*t - 552 = 0.
2/3, 1, 4, 23
Factor 2*n**3/11 - 128*n**2/11 + 2048*n/11.
2*n*(n - 32)**2/11
Find d such that -36*d**5/5 - 383*d**4/5 + 1078*d**3/5 - 349*d**2/5 + 26*d/5 = 0.
-13, 0, 1/9, 1/4, 2
Suppose -2*h**4/23 + 52*h**3/23 - 386*h**2/23 + 624*h/23 - 288/23 = 0. Calculate h.
1, 12
Solve 2*l**3/7 + 20*l**2/7 - 2*l - 56 = 0 for l.
-7, 4
Solve h**5/7 + h**4/7 - 41*h**3/7 + 111*h**2/7 - 72*h/7 = 0 for h.
-8, 0, 1, 3
Find c, given that 4*c**5 - 2176*c**4 + 308752*c**3 - 3498688*c**2 + 13721344*c - 18113536 = 0.
4, 266
Solve 69*m**2 + 206*m - 3 = 0.
-3, 1/69
Factor -3*h**2/4 + 2280*h - 1732800.
-3*(h - 1520)**2/4
Solve 5*s**5 + 15*s**4 - 5*s**3 - 55*s**2 - 60*s - 20 = 0.
-2, -1, 2
Solve 2*l**4/7 + 12*l**3/7 - 32*l**2/7 = 0 for l.
-8, 0, 2
Solve -27*r**5/2 + 162*r**4 - 1467*r**3/2 + 1535*r**2 - 1450*r + 500 = 0.
1, 10/3
Suppose -10*r**2 + 445*r/2 - 765 = 0. What is r?
17/4, 18
Solve -5*a**4 - 35*a**3 + 40*a**2 = 0 for a.
-8, 0, 1
Factor v**3 - 641*v**2 - 1285*v - 643.
(v - 643)*(v + 1)**2
Suppose g**3/3 - 16*g**2/3 + 20*g/3 + 400/3 = 0. Calculate g.
-4, 10
Factor 2*n**4/7 - 54*n**2/7 + 100*n/7 - 48/7.
2*(n - 4)*(n - 1)**2*(n + 6)/7
Factor -7*q**2 - 2*q + 32.
-(q - 2)*(7*q + 16)
Solve -o**2/3 - 137*o = 0.
-411, 0
Factor 6*j**2 + 176*j/3 - 40/3.
2*(j + 10)*(9*j - 2)/3
Factor 3*j**4 + 291*j**3 + 6891*j**2 - 8967*j - 43218.
3*(j - 3)*(j + 2)*(j + 49)**2
Factor -5*k**2 + 665*k.
-5*k*(k - 133)
What is a in -3*a**3 + 30*a**2 - 21*a - 54 = 0?
-1, 2, 9
Factor 5*d**3 - 15*d**2.
5*d**2*(d - 3)
Find m such that 3*m**3 - 300*m**2 - 939*m + 1236 = 0.
-4, 1, 103
Solve 10*d**2 + 6*d - 4 = 0.
-1, 2/5
Factor 22*a**3/9 + 28*a**2/3 + 8*a - 16/9.
2*(a + 2)**2*(11*a - 2)/9
Factor z**5/5 - z**4/5 - 9*z**3/5 - 11*z**2/5 - 4*z/5.
z*(z - 4)*(z + 1)**3/5
Let -q**5/4 - 25*q**4/4 + 485*q**3/4 - 2295*q**2/4 + 810*q - 351 = 0. What is q?
-39, 1, 6
Determine x so that -2*x**5/11 + 668*x**4/11 - 53052*x**3/11 - 453528*x**2/11 - 1215810*x/11 - 1052676/11 = 0.
-3, -2, 171
Factor 4*j**4 - 32*j**3 - 232*j**2 - 352*j - 156.
4*(j - 13)*(j + 1)**2*(j + 3)
Find t such that -5*t**3 - 180*t**2 + 195*t + 370 = 0.
-37, -1, 2
Factor -4*z**2 + 26544*z - 44036496.
-4*(z - 3318)**2
Factor 2*n**4/7 + 104*n**3/7 - 2*n**2/7 - 104*n/7.
2*n*(n - 1)*(n + 1)*(n + 52)/7
Factor r**2/2 + 7*r.
r*(r + 14)/2
Factor -2*t**3 + 306*t**2 - 11550*t - 11858.
-2*(t - 77)**2*(t + 1)
Solve i**3/6 - 7*i**2/6 + 4*i/3 + 8/3 = 0 for i.
-1, 4
Factor -7*u**2 - 8454*u + 2416.
-(u + 1208)*(7*u - 2)
Factor 4*j**4 - 3296*j**3 + 672352*j**2 + 2729088*j + 2742336.
4*(j - 414)**2*(j + 2)**2
Determine s, given that -2*s**3/3 - 280*s**2 - 29400*s = 0.
-210, 0
Suppose 4*k**5/5 + 4*k**4 + 8*k**3 + 8*k**2 + 4*k + 4/5 = 0. What is k?
-1
Solve 3*c**4/2 - 17*c**3 + 42*c**2 + 36*c = 0 for c.
-2/3, 0, 6
Solve -8*m**4 - 18*m**3 + 18*m**2 = 0 for m.
-3, 0, 3/4
Factor 14*x**2/5 - 38*x/5 - 12/5.
2*(x - 3)*(7*x + 2)/5
Factor -4*l**2 - 16*l - 12.
-4*(l + 1)*(l + 3)
Factor -5*j**2 - 4490*j - 1008005.
-5*(j + 449)**2
Determine g so that g**4/7 + 8*g**3/7 + 5*g**2/7 - 2*g = 0.
-7, -2, 0, 1
Suppose 3*u**4/5 - 9*u**3/5 + 9*u**2/5 - 3*u/5 = 0. What is u?
0, 1
Factor 2*n**2/7 + 9360*n/7 + 10951200/7.
2*(n + 2340)**2/7
Find z, given that -z**2 + 154*z + 471 = 0.
-3, 157
Factor -8*w**5/3 + 10*w**4/3 + 4*w**3.
-2*w**3*(w - 2)*(4*w + 3)/3
What is n in 45*n**4 + 30*n**3 - 55*n**2 - 20*n + 20 = 0?
-1, 2/3
Suppose -4*i**4 - 84*i**3 - 396*i**2 + 484*i = 0. Calculate i.
-11, 0, 1
Factor -115*q**3 - 15*q**2 + 460*q + 60.
-5*(q - 2)*(q + 2)*(23*q + 3)
Solve -5*y**2 + 465*y + 470 = 0.
-1, 94
Find n such that 4*n**5/9 + 16*n**4/9 - 104*n**3/9 + 176*n**2/9 - 124*n/9 + 32/9 = 0.
-8, 1
Factor 4*c**3 - 440*c**2 - 15900*c - 126000.
4*(c - 140)*(c + 15)**2
Factor 4*n**3/3 + 80*n**2/3 - 368*n/3 + 128.
4*(n - 2)**2*(n + 24)/3
Factor -k**4 - 2*k**3 + 20*k**2 - 24*k.
-k*(k - 2)**2*(k + 6)
Factor 4*h**2 - 1520*h - 1524.
4*(h - 381)*(h + 1)
Suppose -6*i**2 + 850*i/3 - 188/3 = 0. Calculate i.
2/9, 47
Factor 2*v**2/5 + 78*v/5 - 16.
2*(v - 1)*(v + 40)/5
Factor 4*r**2 - 56*r + 132.
4*(r - 11)*(r - 3)
Determine k, given that -16*k**5/5 + 16*k**4 + 12*k**3/5 - 248*k**2/5 - 212*k/5 - 48/5 = 0.
-1, -1/2, 3, 4
Factor -2*k**3 + 232*k**2 - 1760*k + 3456.
-2*(k - 108)*(k - 4)**2
Factor -2*i**3/7 + 50*i**2/7 + 164*i/7 + 16.
-2*(i - 28)*(i + 1)*(i + 2)/7
Factor -2*z**3/3 + 158*z**2/3 - 3040*z/3 - 3200/3.
-2*(z - 40)**2*(z + 1)/3
Factor 4*j**3 - 40*j**2 + 124*j - 120.
4*(j - 5)*(j - 3)*(j - 2)
Factor -75*q**3 + 4515*q**2 + 3648*q + 732.
-3*(q - 61)*(5*q + 2)**2
What is f in 36*f**3/5 - 768*f**2/5 + 737*f + 4489/5 = 0?
-1, 67/6
Factor -4*h**4 - 48*h**3 + 56*h**2 + 48*h - 52.
-4*(h - 1)**2*(h + 1)*(h + 13)
Solve -5*b**4 + 5*b**3 + 45*b**2 + 55*b + 20 = 0 for b.
-1, 4
Suppose u**4/10 - 54*u**2/5 - 40*u - 192/5 = 0. Calculate u.
-8, -2, 12
Factor 5*n**5/3 - 77*n**4/3 + 10*n**3.
n**3*(n - 15)*(5*n - 2)/3
Solve 2*f**3/5 + 4116*f**2/5 + 2823576*f/5 + 645657712/5 = 0.
-686
Factor 3*a**2 - 3015*a.
3*a*(a - 1005)
Determine w, given that w**2 - 518*w = 0.
0, 518
Solve 4*i**2 + 80*i - 176 = 0.
-22, 2
Find r, given that -2*r**5 + 14*r**4 - 36*r**3 + 44*r**2 - 26*r + 6 = 0.
1, 3
Factor -2*m**2 - 76*m.
-2*m*(m + 38)
Find y, given that -4*y**3 + 284*y**2 + 1220*y - 1500 = 0.
-5, 1, 75
Suppose s**3 + 233*s**2 + 13688*s + 13456 = 0. What is s?
-116, -1
What is p in -p**5/4 + 7*p**4/4 + 25*p**3/4 - 67*p**2/4 + 9*p = 0?
-4, 0, 1, 9
Let 5*o**5 + 15*o**4 + 10*o**3 = 0. What is o?
-2, -1, 0
What is p in 3*p**2 + 39*p + 108 = 0?
-9, -4
Factor -k**2 + 256*k - 16384.
-(k - 128)**2
Factor z**2 - 51*z - 52.
(z - 52)*(z + 1)
Factor -3*h**5/8 - 3*h**4/4 + 9*h**3/8 + 3*h**2/2 - 3*h/2.
-3*h*(h - 1)**2*(h + 2)**2/8
Let 2*w**2 - 3524*w + 1552322 = 0. Calculate w.
881
Factor 20*t**3 - 11158*t**2 + 1555704*t + 155682.
2*(t - 279)**2*(10*t + 1)
Factor -1095*x**3 + 43810*x**2 - 438400*x + 4000.
-5*(x - 20)**2*(219*x - 2)
Suppose -45*j**5 - 75*j**4 + 235*j**3 + 175*j**2 + 30*j = 0. What is j?
-3, -1/3, 0, 2
Factor 4*f**4 - 64*f**3 + 240*f**2.
4*f**2*(f - 10)*(f - 6)
Factor 6*g**3/7 - 102*g**2/7 + 570*g/7 - 150.
6*(g - 7)*(g - 5)**2/7
Determine q so that -q**3 + 101*q**2 + 205*q + 103 = 0.
-1, 103
Factor -2*o**4 - 50*o**3 + 426*o**2 - 694*o + 320.
-2*(o - 5)*(o - 1)**2*(o + 32)
Let 3*x**5 + 90*x**4 + 579*x**3 - 