22*p**2 - 156*p + 288.
-2*(p - 24)*(p - 6)*(p - 3)/3
Suppose g**3/4 + 25*g**2/4 - 69*g/4 - 405/4 = 0. Calculate g.
-27, -3, 5
Factor -4*j**2 - 13112*j - 10745284.
-4*(j + 1639)**2
Let 5*w**4 + 175*w**3 - 570*w**2 + 20*w + 760 = 0. Calculate w.
-38, -1, 2
Factor -2*s**2/7 - 10*s - 68/7.
-2*(s + 1)*(s + 34)/7
Find h, given that -h**2/2 - 1927*h/2 + 1929 = 0.
-1929, 2
Factor 2*s**3 - 12*s**2 - 14*s.
2*s*(s - 7)*(s + 1)
Factor -2*d**2 + 334*d/7 - 120.
-2*(d - 21)*(7*d - 20)/7
Let i**4/4 - 47*i**3/4 - 3*i**2/4 + 143*i/4 - 47/2 = 0. Calculate i.
-2, 1, 47
What is l in 25*l**5/3 + 10*l**4 - 11*l**3/3 - 4*l**2 + 4*l/3 = 0?
-1, 0, 2/5
Determine o so that o**2 + 15512*o + 60155536 = 0.
-7756
Let 75*i**5 + 2085*i**4 - 2643*i**3 - 921*i**2 + 1056*i + 348 = 0. What is i?
-29, -2/5, 1
Suppose -60*g**5 - 416*g**4 - 888*g**3 - 816*g**2 - 332*g - 48 = 0. Calculate g.
-4, -1, -3/5, -1/3
Let 4*s**2/3 - 832*s/3 + 43264/3 = 0. Calculate s.
104
Solve 3*f**3/5 + 210*f**2 - 1059*f/5 - 2106/5 = 0.
-351, -1, 2
Solve 4*n**5/7 + 16*n**4/7 - 44*n**3/7 + 24*n**2/7 = 0.
-6, 0, 1
Factor 2*o**5 + 6*o**4 - 32*o**3 + 24*o**2.
2*o**2*(o - 2)*(o - 1)*(o + 6)
Solve 3*j**2/8 + 159*j/4 + 8427/8 = 0.
-53
Factor 20*i**3/7 + 432*i**2/7 + 244*i/7 - 24.
4*(i + 1)*(i + 21)*(5*i - 2)/7
What is i in 2*i**3 - 20*i**2 + 50*i = 0?
0, 5
Factor -2*f**2 - 528*f - 34848.
-2*(f + 132)**2
Let g**4 + 20*g**3 + 141*g**2 + 406*g + 392 = 0. Calculate g.
-7, -4, -2
Find b such that -b**4/3 - 8*b**3 - 37*b**2 + 136*b/3 = 0.
-17, -8, 0, 1
Determine n, given that n**5/5 - 8*n**4/5 + 9*n**3/5 + 18*n**2/5 = 0.
-1, 0, 3, 6
Find p such that -3*p**5 + 198*p**4 + 420*p**3 - 810*p**2 - 417*p + 612 = 0.
-3, -1, 1, 68
Factor -5*h**4 - 60*h**3 - 260*h**2 - 480*h - 320.
-5*(h + 2)**2*(h + 4)**2
Determine g so that g**3/4 - 1179*g**2/2 + 463347*g - 121396914 = 0.
786
Factor -2*d**3/17 + 62*d**2/17 - 630*d/17 + 2106/17.
-2*(d - 13)*(d - 9)**2/17
Determine q so that 1540*q**5 - 268*q**4 - 8*q**3 = 0.
-2/77, 0, 1/5
Determine q so that -2*q**5 + 14*q**4 - 32*q**3 + 16*q**2 + 32*q - 32 = 0.
-1, 2
Determine l so that 2*l**4/9 - 10*l**3/9 - 2*l**2/9 + 34*l/9 + 8/3 = 0.
-1, 3, 4
Determine f so that 8*f**5 + 20*f**4 - 140*f**3 - 320*f**2 + 192*f = 0.
-4, -3, 0, 1/2, 4
Factor 17*v**3 - 36*v**2 + 21*v - 2.
(v - 1)**2*(17*v - 2)
Determine k, given that -k**3/2 - 89*k**2/2 - 1012*k - 968 = 0.
-44, -1
Factor 2025*h**3/8 + 3060*h**2 + 541*h/2 + 6.
(h + 12)*(45*h + 2)**2/8
Suppose 4*c**5 + 240*c**4 + 1132*c**3 + 1776*c**2 + 880*c = 0. Calculate c.
-55, -2, -1, 0
Determine h so that -12*h**5 + 4*h**4 + 236*h**3 - 436*h**2 - 32*h + 240 = 0.
-5, -2/3, 1, 2, 3
Factor i**5/5 - 213*i**4 + 75615*i**3 - 8947775*i**2.
i**2*(i - 355)**3/5
Determine l so that -2*l**5 - 118*l**4 - 2394*l**3 - 18050*l**2 - 27436*l = 0.
-19, -2, 0
Factor 5*v**5 - 1365*v**4 + 99135*v**3 - 819855*v**2 + 2387880*v - 2352240.
5*(v - 132)**2*(v - 3)**3
Factor -3*c**3 - 99*c**2 - 726*c.
-3*c*(c + 11)*(c + 22)
Determine b so that 14*b**2/9 + 6898*b/9 - 1972/9 = 0.
-493, 2/7
Factor -5*a**3 - 30*a**2 + 20*a + 120.
-5*(a - 2)*(a + 2)*(a + 6)
Let -2*y**5/7 + 4*y**4/7 + 304*y**3/7 + 288*y**2/7 - 12960*y/7 - 43200/7 = 0. Calculate y.
-6, 10
Solve -3*i**5 - 3*i**4 + 69*i**3 + 123*i**2 - 66*i - 120 = 0 for i.
-4, -2, -1, 1, 5
Find d, given that -d**5 - 9*d**4 - 5*d**3 + 25*d**2 + 6*d - 16 = 0.
-8, -2, -1, 1
Solve 26*b**3 - 42*b**2 - 308*b - 240 = 0.
-2, -1, 60/13
Factor -g**3/8 - 283*g**2/4 - 141*g.
-g*(g + 2)*(g + 564)/8
Factor -3*b**3/5 - 471*b**2/5 - 1848*b/5 - 1836/5.
-3*(b + 2)**2*(b + 153)/5
Factor 3*q**4 - 264*q**3 - 1374*q**2 - 1944*q - 837.
3*(q - 93)*(q + 1)**2*(q + 3)
Suppose 2*s**2/7 - 18/7 = 0. What is s?
-3, 3
Let -3*a**5/2 - 42*a**4 + 21*a**3/2 + 303*a**2 + 252*a = 0. Calculate a.
-28, -2, -1, 0, 3
Factor r**3 + 7*r**2 + 4*r - 12.
(r - 1)*(r + 2)*(r + 6)
Determine j, given that 4*j**2 + 160*j = 0.
-40, 0
Factor 2*t**2/3 - 362*t/3 - 364/3.
2*(t - 182)*(t + 1)/3
Determine m so that 245*m**2 + 235*m - 10 = 0.
-1, 2/49
Factor 2*k**3/9 - 832*k**2/3 - 1666*k/3 - 2500/9.
2*(k - 1250)*(k + 1)**2/9
Find x, given that -x**3/6 + 85*x**2/2 + 386*x/3 + 86 = 0.
-2, -1, 258
Factor 5*m**5 + 40*m**4 + 105*m**3 + 110*m**2 + 40*m.
5*m*(m + 1)**2*(m + 2)*(m + 4)
Let m**5 + 3*m**4 + 2*m**3 = 0. What is m?
-2, -1, 0
Factor -q**5 + 14*q**4 - 69*q**3 + 144*q**2 - 108*q.
-q*(q - 6)*(q - 3)**2*(q - 2)
Factor u**4/7 - u**3/7 - 22*u**2/7 - 44*u/7 - 24/7.
(u - 6)*(u + 1)*(u + 2)**2/7
Factor l**3 + 43*l**2 + 160*l + 156.
(l + 2)**2*(l + 39)
Find v such that -2*v**2/5 + 32*v - 3198/5 = 0.
39, 41
Factor 4*t**2 + 2376*t - 4768.
4*(t - 2)*(t + 596)
Factor 4*c**3 + 52*c**2 - 760*c + 704.
4*(c - 8)*(c - 1)*(c + 22)
Factor c**2/4 + 5*c/4 - 3/2.
(c - 1)*(c + 6)/4
Factor 2*b**2/9 + 100*b/9 + 1250/9.
2*(b + 25)**2/9
Factor -4*s**3/5 - 11*s**2/5 + 3*s/5.
-s*(s + 3)*(4*s - 1)/5
Determine i, given that 6272*i**3/5 + 31584*i**2/5 + 1122*i/5 + 2 = 0.
-5, -1/56
Factor -3*t**2/5 - 264*t/5 - 5301/5.
-3*(t + 31)*(t + 57)/5
Factor -18*a**3/17 - 264*a**2/17 + 376*a/17 - 128/17.
-2*(a + 16)*(3*a - 2)**2/17
Factor 5*p**4 + 25*p**3 - 590*p**2 + 2240*p - 2400.
5*(p - 4)**2*(p - 2)*(p + 15)
Solve 3*f**2 - 66*f + 363 = 0.
11
Determine x, given that 5*x**3 + 315*x**2 + 595*x - 915 = 0.
-61, -3, 1
Factor -6*r**2/11 + 432*r/11 - 6042/11.
-6*(r - 53)*(r - 19)/11
Factor y**4 + 66*y**3 + 125*y**2 - 192*y.
y*(y - 1)*(y + 3)*(y + 64)
Factor 4*r**4 - 152*r**3 + 1700*r**2 - 4624*r.
4*r*(r - 17)**2*(r - 4)
Factor -5*c**4/2 - 5*c**3 + 5*c**2/2 + 5*c.
-5*c*(c - 1)*(c + 1)*(c + 2)/2
Solve -3*q**5 - 30*q**4 - 45*q**3 + 30*q**2 + 48*q = 0.
-8, -2, -1, 0, 1
Let 2*l**5 - 36*l**4 + 90*l**3 = 0. Calculate l.
0, 3, 15
Factor -2*d**3/7 - 52*d**2/7 + 650*d/7 + 100.
-2*(d - 10)*(d + 1)*(d + 35)/7
Factor -5*c**4/4 - 6030*c**3 - 7272180*c**2.
-5*c**2*(c + 2412)**2/4
Suppose 5*t**2 - 65*t - 240 = 0. Calculate t.
-3, 16
Find a such that 2*a**3/11 + 2106*a**2/11 + 739206*a/11 + 86487102/11 = 0.
-351
Factor 9*s**5/2 - 15*s**4 + 15*s**3 - 15*s/2 + 3.
3*(s - 1)**4*(3*s + 2)/2
Factor -3*p**3 - 96*p**2 + 912*p - 1920.
-3*(p - 4)**2*(p + 40)
Determine y, given that 64*y**2/5 - 4384*y/5 + 75076/5 = 0.
137/4
Find y, given that 4*y**4 - 8*y**2 + 4 = 0.
-1, 1
Factor -2*d**2/5 - 18*d/5 - 28/5.
-2*(d + 2)*(d + 7)/5
Factor 2*v**4/9 + 8*v**3/9 - 74*v**2/9 + 136*v/9 - 8.
2*(v - 2)**2*(v - 1)*(v + 9)/9
Solve 21*c**5/8 + 39*c**4/4 + 39*c**3/8 - 51*c**2/4 - 15*c/2 + 3 = 0 for c.
-2, -1, 2/7, 1
Suppose 12*h**5 + 196*h**4 - 416*h**3 - 928*h**2 + 1472*h + 576 = 0. What is h?
-18, -2, -1/3, 2
Factor f**5 + 2*f**4 - 12*f**3 + 14*f**2 - 5*f.
f*(f - 1)**3*(f + 5)
Determine r, given that -6*r**5 + r**4/2 + 13*r**3/2 - r**2/2 - r/2 = 0.
-1, -1/4, 0, 1/3, 1
Factor a**3/3 + 13*a**2 - 42*a.
a*(a - 3)*(a + 42)/3
Factor -10*z**5 + 12*z**4 - 2*z**3.
-2*z**3*(z - 1)*(5*z - 1)
Determine r so that -16*r**3 - 1044*r**2 - 3236*r - 744 = 0.
-62, -3, -1/4
Determine k so that -6561*k**5 - 3159*k**4 + 58689*k**3 + 28419*k**2 + 3240*k + 108 = 0.
-3, -1/3, -2/27, 3
Solve -5*y**3/4 - 325*y**2/4 + 165*y/2 = 0.
-66, 0, 1
Solve 2*n**2/11 - 244*n/11 = 0.
0, 122
Find w such that 5*w**3 + 70*w**2 - 305*w - 850 = 0.
-17, -2, 5
Find i such that -4*i**3/5 - 776*i**2/5 + 1564*i/5 - 784/5 = 0.
-196, 1
Factor x**2/4 - 157*x/4 + 155/2.
(x - 155)*(x - 2)/4
Find p such that -5*p**5 + 295*p**4 - 1395*p**3 + 2465*p**2 - 1900*p + 540 = 0.
1, 2, 54
Factor 72*y**4 - 480*y**3 + 266*y**2 + 130*y + 12.
2*(y - 6)*(y - 1)*(6*y + 1)**2
Factor 36*p**4 + 12*p**3 - 92*p**2 + 52*p - 8.
4*(p - 1)*(p + 2)*(3*p - 1)**2
Solve -3*u**3 + 33*u**2 + 78*u = 0.
-2, 0, 13
Suppose 3*r**5/2 - 2*r**4 - 17*r**3/2 + 3*r**2 = 0. Calculate r.
-2, 0, 1/3, 3
Solve -3*w**3/4 + 61*w**2/2 - 320*w + 200 = 0.
2/3, 20
Factor 2*m**3 - 184*m**2 + 5120*m - 38400.
2*(m - 40)**2*(m - 12)
Factor 3*j**5/7 - 6*j**3/7 + 3*j/7.
3*j*(j - 1)**2*(j + 1)**2/7
Let -2*o**4/3 - 10*o**3/3 + 2*o**2 + 34*o/3 + 20/3 = 0. What is o?
-5, -1, 2
Factor -5*k**4 + 1240*k**3 - 115320*k**2 + 4766560*k - 73881680.
-5*(k - 62)**4
Factor -39605*s**3 + 28925*s**2 + 9960*s + 720.
-5*(s - 1)*(89*s + 12)**2
Find a such that -8*a**2 - 212*a + 108 = 0.
-27, 1/2
Factor -5*x**4 - 5*x**3 + 240*x**2 + 880*x + 640.
-5*(x - 8)*(x + 1)*(x + 4)**2
Determine l, given that 3*l**3/8 - 42*l**