 that -3*h**5/5 + 138*h**4/5 - 1053*h**3/5 + 1986*h**2/5 + 516*h/5 - 2664/5 = 0.
-1, 2, 6, 37
Find c such that c**4/5 + 24*c**3/5 + 216*c**2/5 + 864*c/5 + 1296/5 = 0.
-6
Suppose g**4/5 - 2*g**3/5 - 11*g**2 - 88*g/5 + 144/5 = 0. What is g?
-4, 1, 9
Factor -c**4/2 - 263*c**3/2 - 11484*c**2 - 329120*c + 340736.
-(c - 1)*(c + 88)**3/2
Factor -2*b**3/9 + 188*b**2/9 + 190*b/9.
-2*b*(b - 95)*(b + 1)/9
Find s, given that -444*s**4 - 1467*s**3 - 78*s**2 + 999*s + 54 = 0.
-3, -1, -2/37, 3/4
Let 2*n**5/3 - 146*n**4/3 + 3734*n**3/3 - 37582*n**2/3 + 110032*n/3 - 97336/3 = 0. Calculate n.
2, 23
Factor h**4/5 - 41*h**3/5 + 117*h**2 - 3211*h/5 + 4394/5.
(h - 13)**3*(h - 2)/5
Let 2*c**5 - 103*c**4 + 242*c**3 + 155*c**2 - 388*c - 196 = 0. What is c?
-1, -1/2, 2, 49
Suppose g**2 - 3777*g = 0. What is g?
0, 3777
Factor 21*x**3 - 1041*x**2 - 462*x + 600.
3*(x - 50)*(x + 1)*(7*x - 4)
Let 32*s**3/3 + 112*s**2/3 + 50*s/3 + 2 = 0. What is s?
-3, -1/4
Solve -s**5/4 - 17*s**4/4 - 105*s**3/4 - 275*s**2/4 - 125*s/2 = 0 for s.
-5, -2, 0
Let -2*p**2/15 + 124*p/15 - 464/15 = 0. Calculate p.
4, 58
Factor -25*n**4 + 1490*n**3 + 599*n**2 + 60*n.
-n*(n - 60)*(5*n + 1)**2
Suppose 3*h**5/4 - 15*h**4/2 = 0. Calculate h.
0, 10
Determine g, given that -4*g**3 + 36*g**2 + 136*g + 96 = 0.
-2, -1, 12
Factor -2*g**3/9 + 4*g**2.
-2*g**2*(g - 18)/9
Factor -3*t**2 + 38832*t - 125660352.
-3*(t - 6472)**2
Determine f so that -5*f**5 + 15*f**4 - 10*f**3 = 0.
0, 1, 2
Let -d**5 + 12*d**4 - 39*d**3 + 8*d**2 + 60*d = 0. Calculate d.
-1, 0, 2, 5, 6
Factor 57*f**2 + 522*f + 465.
3*(f + 1)*(19*f + 155)
Factor 132*o**2 - 129*o - 3.
3*(o - 1)*(44*o + 1)
Let 14*p**5 - 38*p**4 + 2*p**3 + 46*p**2 - 16*p - 8 = 0. Calculate p.
-1, -2/7, 1, 2
Let -3*u**3/7 + 3*u**2/7 + 27*u/7 - 27/7 = 0. What is u?
-3, 1, 3
Factor -4*z**4 - 860*z**3 - 1708*z**2 - 852*z.
-4*z*(z + 1)**2*(z + 213)
Factor m**2 - 8*m - 48.
(m - 12)*(m + 4)
What is x in -x**4 + 1011*x**3 - 1009*x**2 - 1011*x + 1010 = 0?
-1, 1, 1010
Determine w so that 4*w**4 - 84*w**3 + 316*w**2 + 84*w - 320 = 0.
-1, 1, 5, 16
Find g, given that -g**4/3 - 17*g**3/9 + 3*g**2 - 7*g/9 = 0.
-7, 0, 1/3, 1
Factor -4*x**2 - 11600*x.
-4*x*(x + 2900)
Determine g so that 3*g**3 + 288*g**2 - 885*g + 594 = 0.
-99, 1, 2
Factor -n**4/5 - 2*n**3/5 - n**2/5.
-n**2*(n + 1)**2/5
Let -9*m**4 - 11*m**3 + 70*m**2 + 124*m + 24 = 0. Calculate m.
-2, -2/9, 3
Solve c**5/9 + c**4/3 - c**3/9 - 7*c**2/9 + 4/9 = 0.
-2, -1, 1
Factor 5*p**4 + 90*p**3 + 295*p**2 - 390*p.
5*p*(p - 1)*(p + 6)*(p + 13)
What is i in -3*i**3/4 - 1005*i**2/4 + 1014*i - 1017 = 0?
-339, 2
Suppose 2*r**3 - 10*r**2 = 0. What is r?
0, 5
Determine d, given that -d**4 + 616*d**3 - 126690*d**2 + 8741200*d - 8615125 = 0.
1, 205
Find s such that 4*s**2/17 - 186*s/17 + 270/17 = 0.
3/2, 45
Find f, given that -3*f**2/5 - 378*f/5 - 1464/5 = 0.
-122, -4
Solve 3*f**5/2 + 123*f**4/2 + 1029*f**3/2 + 3189*f**2/2 + 1884*f + 744 = 0.
-31, -4, -1
Find u, given that -u**2/5 + 162*u/5 + 163/5 = 0.
-1, 163
Let 243*d**5 + 945*d**4 + 549*d**3 - 381*d**2 - 264*d - 36 = 0. Calculate d.
-3, -1, -1/3, -2/9, 2/3
Factor -o**4/6 - 13*o**3/2 - 95*o**2 - 1850*o/3 - 1500.
-(o + 9)*(o + 10)**3/6
Factor -3*y**2/7 + 45*y/7.
-3*y*(y - 15)/7
Determine f so that 5*f**5 - 12*f**4 - 16*f**3 + 48*f**2 - 16*f = 0.
-2, 0, 2/5, 2
Factor 2*a**5/9 - 8*a**4/9 - 8*a**3/3 - 4*a**2/9 + 22*a/9 + 4/3.
2*(a - 6)*(a - 1)*(a + 1)**3/9
Solve -4*g**4/5 - 104*g**3/5 - 84*g**2 + 2048*g/5 - 304 = 0.
-19, -10, 1, 2
Factor -3*q**2/5 - 1662*q/5 - 1320.
-3*(q + 4)*(q + 550)/5
Let -2*m**4/11 - 2*m**3/11 + 30*m**2/11 + 18*m/11 - 108/11 = 0. What is m?
-3, 2, 3
Factor 3*a**2/2 + 3*a - 120.
3*(a - 8)*(a + 10)/2
Let 3*z**4 - 21*z**3 + 12*z**2 + 36*z = 0. What is z?
-1, 0, 2, 6
Find f such that 3*f**5/4 - f**4 - 2*f**3 + 3*f**2/2 + 5*f/4 - 1/2 = 0.
-1, 1/3, 1, 2
Suppose -d**4/2 - d**3 + 57*d**2/2 - 27*d = 0. Calculate d.
-9, 0, 1, 6
Factor 24*b**5/7 + 10*b**4/7 - 4*b**3/7.
2*b**3*(3*b + 2)*(4*b - 1)/7
Factor 2*i**2 + 54*i - 56.
2*(i - 1)*(i + 28)
Determine w, given that 2*w**4/7 - 38*w**2/7 + 60*w/7 = 0.
-5, 0, 2, 3
Factor -2*a**3 - 9*a**2 - 12*a - 4.
-(a + 2)**2*(2*a + 1)
Find v, given that -12*v**2 + 1396*v + 936 = 0.
-2/3, 117
What is f in -f**2 - 67*f = 0?
-67, 0
Factor -35*l**4 + 155*l**3 - 165*l**2 + 45*l.
-5*l*(l - 3)*(l - 1)*(7*l - 3)
Determine a, given that 2*a**2/13 + 10632*a/13 = 0.
-5316, 0
Factor w**2/2 - 74*w + 2738.
(w - 74)**2/2
Factor -u**5 - 733*u**4 - 133219*u**3 + 404065*u**2 - 405536*u + 135424.
-(u - 1)**3*(u + 368)**2
Factor -9*m**2 + 141*m - 90.
-3*(m - 15)*(3*m - 2)
Find a such that -5*a**5 + 540*a**4 - 1045*a**3 - 1610*a**2 + 2100*a + 2120 = 0.
-1, 2, 106
Factor 36*s**4 + 132*s**3 - 224*s**2 + 80*s.
4*s*(s + 5)*(3*s - 2)**2
What is g in 3*g**2/7 - 1068*g/7 - 153 = 0?
-1, 357
Factor -p**3 + 3*p**2 + 4*p.
-p*(p - 4)*(p + 1)
Find z such that -3*z**3/2 + 393*z**2/2 + 6*z - 786 = 0.
-2, 2, 131
Factor 2*i**2 - 58*i - 124.
2*(i - 31)*(i + 2)
Find m such that 20*m**3/3 + 488*m**2/3 - 308*m/3 - 200/3 = 0.
-25, -2/5, 1
Factor 2*g**3 + 8*g**2 - 570*g.
2*g*(g - 15)*(g + 19)
Solve 5*v**4 - 170*v**3 + 1980*v**2 - 8470*v + 6655 = 0 for v.
1, 11
Factor 3*k**5 - 102*k**4 + 453*k**3 - 510*k**2 - 372*k + 696.
3*(k - 29)*(k - 2)**3*(k + 1)
What is v in v**4/9 + 2*v**3 + 32*v**2/3 + 128*v/9 = 0?
-8, -2, 0
Solve -4*p**4 + 120*p**3 - 116*p**2 = 0.
0, 1, 29
Factor -4*k**2 - 884*k + 888.
-4*(k - 1)*(k + 222)
Let -g**2/3 - 76*g + 468 = 0. Calculate g.
-234, 6
Solve m**2/2 - 15*m - 31/2 = 0 for m.
-1, 31
Find o, given that -o**3/5 - 1661*o**2/5 - 138112*o - 137780 = 0.
-830, -1
Factor -3*y**2/5 - 822*y/5 + 1656/5.
-3*(y - 2)*(y + 276)/5
Factor 4*f**3 - 96*f**2 - 468*f + 560.
4*(f - 28)*(f - 1)*(f + 5)
Factor -3*c**3 - 315*c**2 - 7776*c + 26244.
-3*(c - 3)*(c + 54)**2
Solve 2*x**3 - 24*x**2 - 56*x = 0.
-2, 0, 14
Factor 5*j**4 + 25*j**3 + 45*j**2 + 35*j + 10.
5*(j + 1)**3*(j + 2)
Factor -4*q**2 - 8*q + 12.
-4*(q - 1)*(q + 3)
Factor 2*z**3/9 - 176*z**2/3 + 15488*z/3 - 1362944/9.
2*(z - 88)**3/9
Suppose 4*t**3 - 22448*t**2 - 44908*t - 22456 = 0. What is t?
-1, 5614
Determine a so that -3*a**2/2 + 219*a/2 - 1863 = 0.
27, 46
Factor -2*q**3/3 - 2*q**2/3 + 4*q/3.
-2*q*(q - 1)*(q + 2)/3
Find f, given that -f**3 - 10*f**2 - 24*f = 0.
-6, -4, 0
Find o such that 2*o**2/5 - 82*o/5 + 16 = 0.
1, 40
Let -2*h**5 - 6*h**4 + 2*h**3 + 6*h**2 = 0. What is h?
-3, -1, 0, 1
Suppose -3*n**2 - 66*n + 504 = 0. Calculate n.
-28, 6
Factor -3*i**3 + 372*i**2 + 753*i + 378.
-3*(i - 126)*(i + 1)**2
Let -o**5/6 - 3*o**4 - 23*o**3/3 - 2*o**2 + 47*o/6 + 5 = 0. What is o?
-15, -2, -1, 1
Factor r**2/4 - r/4 - 3/2.
(r - 3)*(r + 2)/4
Factor i**4/3 - 5*i**3/3 + i**2 + 3*i.
i*(i - 3)**2*(i + 1)/3
Factor -5*f**4 - 355*f**3 - 690*f**2.
-5*f**2*(f + 2)*(f + 69)
Determine s so that -3*s**3/4 + 339*s**2 - 8055*s/4 + 6021/2 = 0.
3, 446
Factor 5*z**3 - 10*z**2 - 40*z.
5*z*(z - 4)*(z + 2)
Solve -5*h**4 + 28*h**3/3 + 49*h**2/3 + 2*h = 0 for h.
-1, -2/15, 0, 3
Factor 2*l**2 + 96*l + 1152.
2*(l + 24)**2
Solve -2*b**3 + 178*b**2 - 4048*b + 3872 = 0 for b.
1, 44
Factor a**3/7 + 6*a**2 + 41*a/7.
a*(a + 1)*(a + 41)/7
Determine x, given that -x**4/7 - 15*x**3/7 - 72*x**2/7 - 108*x/7 = 0.
-6, -3, 0
Find c, given that 2*c**5/5 - 38*c**4/5 - 126*c**3/5 - 26*c**2 - 44*c/5 = 0.
-1, 0, 22
Find a such that 11*a**4 - 35*a**3 + 39*a**2 - 17*a + 2 = 0.
2/11, 1
Factor -2*b**5 + 12*b**4 - 22*b**3 + 4*b**2 + 24*b - 16.
-2*(b - 2)**3*(b - 1)*(b + 1)
Factor 3*i**3/5 - 651*i**2/5 + 34989*i/5 + 35643/5.
3*(i - 109)**2*(i + 1)/5
Factor -3*k**3/5 + 438*k**2/5 + 177*k + 444/5.
-3*(k - 148)*(k + 1)**2/5
Solve z**3 - 14*z**2 + 51*z - 54 = 0 for z.
2, 3, 9
Suppose 6*c**4 + 63*c**3 + 126*c**2 + 48*c = 0. Calculate c.
-8, -2, -1/2, 0
Find c, given that 2*c**5/5 - 38*c**4/5 - 334*c**3/5 - 762*c**2/5 - 468*c/5 = 0.
-3, -1, 0, 26
Determine x, given that 10*x**5 - 75*x**4 + 145*x**3 - 105*x**2 + 25*x = 0.
0, 1/2, 1, 5
Factor y**5/8 - 5*y**4/4 + 3*y**3 - 11*y**2/4 + 7*y/8.
y*(y - 7)*(y - 1)**3/8
Determine w so that w**5 - 2*w**4 - 24*w**3 + 112*w**2 - 176*w + 96 = 0.
-6, 2
Factor -2*f**2 + 1540*f - 296450.
-2*(f - 385)**2
Factor b**4/8 - 5*b**3/4 - 39*b**2/8 + 80*b - 200.
(b - 8)*(b - 5)**2*(b + 8)/8
Determine a so that 2*a**5 - 124*a**4 + 2546*a**3 - 17328*a**2 = 0.
0, 19