g**2/13 - 36*g/13 = 0.
-1, 0, 3, 6
Factor 8*c**2/3 - 6598*c/3 - 550.
2*(c - 825)*(4*c + 1)/3
Factor 7*x**3 + 16*x**2 + 4*x.
x*(x + 2)*(7*x + 2)
Factor -4*v**2 + 765*v + 769.
-(v + 1)*(4*v - 769)
Suppose 361250*w**2/13 + 20400*w/13 + 288/13 = 0. What is w?
-12/425
Find t, given that -2*t**3/11 + 150*t**2/11 + 152*t/11 = 0.
-1, 0, 76
Factor -l**5/5 + 6*l**4/5 - 13*l**3/5 + 12*l**2/5 - 4*l/5.
-l*(l - 2)**2*(l - 1)**2/5
Find g, given that -25*g**5/4 - 55*g**4/2 - 15*g**3/4 + 55*g**2/2 + 10*g = 0.
-4, -1, -2/5, 0, 1
Determine n, given that -n**3 + 203*n**2 + 824*n + 828 = 0.
-2, 207
Suppose 3*d**5/4 + 375*d**4/4 + 11901*d**3/4 + 11157*d**2/4 - 2976*d - 2883 = 0. Calculate d.
-62, -1, 1
Determine j so that -4*j**2 + 604*j - 1776 = 0.
3, 148
Factor -2*v**2/11 + 102*v/11 + 40.
-2*(v - 55)*(v + 4)/11
Solve 5*f**4 + 65*f**3 + 60*f**2 = 0.
-12, -1, 0
Solve 2*i**4 + 26*i**3 - 2*i**2 - 26*i = 0.
-13, -1, 0, 1
Factor -3*o**3 - 321*o**2 + 324*o.
-3*o*(o - 1)*(o + 108)
Suppose 12*u**5 - 33*u**4 - 18*u**3 + 123*u**2 - 120*u + 36 = 0. What is u?
-2, 3/4, 1, 2
Suppose 3*v**4 - 66*v**3 + 261*v**2 - 78*v - 408 = 0. What is v?
-1, 2, 4, 17
Factor 2*s**3/5 + 4*s**2 + 10*s.
2*s*(s + 5)**2/5
Factor -c**5 + c**4 + c**3 - c**2.
-c**2*(c - 1)**2*(c + 1)
Factor -2*j**2 - 12*j - 16.
-2*(j + 2)*(j + 4)
Factor -4*i**3/7 - 60*i**2/7 - 248*i/7 - 192/7.
-4*(i + 1)*(i + 6)*(i + 8)/7
Let -4*i**4 + 12*i**2 + 8*i = 0. Calculate i.
-1, 0, 2
Factor u**4/6 - 59*u**3/6 + 259*u**2/2 + 2759*u/6 + 961/3.
(u - 31)**2*(u + 1)*(u + 2)/6
Let -18*x**5 + 3*x**4 + 123*x**3 - 132*x**2 + 36*x = 0. What is x?
-3, 0, 1/2, 2/3, 2
Find z, given that -3*z**3/5 - 33*z**2/5 - 102*z/5 - 72/5 = 0.
-6, -4, -1
Suppose -3*t**3/4 + 15*t**2/2 + 3*t/4 - 15/2 = 0. What is t?
-1, 1, 10
Determine l, given that -16*l**5 - 212*l**4 + 172*l**3 + 56*l**2 = 0.
-14, -1/4, 0, 1
Find z, given that 2*z**4/7 + 110*z**3/7 + 606*z**2/7 + 890*z/7 + 56 = 0.
-49, -4, -1
Find r, given that -r**2/2 - 17*r/2 - 36 = 0.
-9, -8
Let -5*z**3 - 170*z**2 + 5*z + 170 = 0. Calculate z.
-34, -1, 1
Factor n**3 - 2*n**2 - 5*n + 6.
(n - 3)*(n - 1)*(n + 2)
Suppose 4*g**3 + 4944*g**2 + 2036928*g + 279738112 = 0. Calculate g.
-412
Factor g**3/5 - 39*g**2 - 394*g/5.
g*(g - 197)*(g + 2)/5
Determine f, given that 4*f**3 - 100*f**2 + 416*f - 320 = 0.
1, 4, 20
Factor -4*r**3 - 9964*r**2 - 19916*r - 9956.
-4*(r + 1)**2*(r + 2489)
Factor -b**2/5 + 1334*b/5 - 1333/5.
-(b - 1333)*(b - 1)/5
Find o such that -3*o**2 + 60*o = 0.
0, 20
Solve -k**3 - 347*k**2 + 348*k = 0 for k.
-348, 0, 1
Factor v**3 - 144*v**2 + 563*v - 420.
(v - 140)*(v - 3)*(v - 1)
Factor 4*r**4 - 336*r**3 - 344*r**2 + 336*r + 340.
4*(r - 85)*(r - 1)*(r + 1)**2
Suppose 2*k**5 - 72*k**4 - 232*k**3 - 84*k**2 + 230*k + 156 = 0. What is k?
-2, -1, 1, 39
Factor -a**3 + 670*a**2 - 110188*a - 685464.
-(a - 338)**2*(a + 6)
Find m such that 474*m**2 + 1426*m/3 + 4/3 = 0.
-1, -2/711
Suppose -5*f**2/3 + 875*f + 2630/3 = 0. What is f?
-1, 526
Factor 2*c**4 - 86*c**3 + 766*c**2 - 682*c.
2*c*(c - 31)*(c - 11)*(c - 1)
Suppose -27*g**5/4 - 54*g**4 - 603*g**3/4 - 355*g**2/2 - 93*g - 18 = 0. Calculate g.
-3, -2/3
Solve 5*v**5 + 45*v**4 + 130*v**3 + 170*v**2 + 105*v + 25 = 0 for v.
-5, -1
Determine s so that 5*s**2/4 - 605*s + 2415/4 = 0.
1, 483
Factor l**3/3 + 10*l**2/3.
l**2*(l + 10)/3
Factor 2*d**4 - 66*d**3 + 438*d**2 + 506*d.
2*d*(d - 23)*(d - 11)*(d + 1)
Solve -5*b**3 - 70*b**2 - 205*b + 280 = 0.
-8, -7, 1
Determine q, given that q**3/6 - 14*q**2 - 85*q/6 = 0.
-1, 0, 85
Let -2*n**5/3 + 7*n**4/3 + 10*n**3 - 40*n**2/3 - 28*n/3 + 11 = 0. What is n?
-3, -1, 1, 11/2
Find q, given that 3*q**4/8 - 153*q**3/2 + 15909*q**2/4 - 15453*q/2 + 30603/8 = 0.
1, 101
Factor 3*y**2 + 21*y - 54.
3*(y - 2)*(y + 9)
Let -3*o**5 - 63*o**4 - 279*o**3 + 759*o**2 + 2178*o = 0. Calculate o.
-11, -2, 0, 3
Let -2*d**3/17 - 14*d**2/17 - 16*d/17 + 32/17 = 0. What is d?
-4, 1
Factor 2*b**3 - 68*b**2 + 416*b.
2*b*(b - 26)*(b - 8)
Factor 5*q**3/2 + 45*q**2/2 - 30*q - 50.
5*(q - 2)*(q + 1)*(q + 10)/2
Factor -2*s**3/7 + 24*s**2/7 - 58*s/7 + 36/7.
-2*(s - 9)*(s - 2)*(s - 1)/7
Factor 25*a**4 + 105*a**3 - 446*a**2 + 300*a - 56.
(a - 2)*(a + 7)*(5*a - 2)**2
Let g**5/5 - 7*g**4/5 - g**3/5 + 7*g**2/5 = 0. Calculate g.
-1, 0, 1, 7
Factor -15*l**4/2 - 70*l**3 - 275*l**2/2 + 125*l.
-5*l*(l + 5)**2*(3*l - 2)/2
Let 8*z**4 - 194*z**3 + 1450*z**2 - 2800*z - 3000 = 0. What is z?
-3/4, 5, 10
Suppose -1155*d**2 + 400*d - 20 = 0. Calculate d.
2/33, 2/7
Find r, given that 4*r**2 - 188*r + 360 = 0.
2, 45
Suppose -m**5/6 + 9*m**4 - 101*m**3/6 - 80*m**2/3 + 34*m + 104/3 = 0. What is m?
-1, 2, 52
Factor 2*l**2/9 - 100*l/3 + 1250.
2*(l - 75)**2/9
Factor 2*p**4 + 88*p**3 - 184*p**2.
2*p**2*(p - 2)*(p + 46)
Find d, given that -d**2/2 - 23*d - 45/2 = 0.
-45, -1
Factor 3*k**3/5 + 273*k**2/5 + 2013*k/5 + 1743/5.
3*(k + 1)*(k + 7)*(k + 83)/5
Determine d so that 5*d**5 + 15*d**4 - 20*d**3 - 60*d**2 = 0.
-3, -2, 0, 2
Determine q so that -12*q**5 - 136*q**4 - 440*q**3 - 576*q**2 - 316*q - 56 = 0.
-7, -2, -1, -1/3
Determine l so that -35*l**4 - 155*l**3 + 100*l**2 = 0.
-5, 0, 4/7
Factor 2*g**4/5 + 54*g**3/5 + 60*g**2 + 80*g.
2*g*(g + 2)*(g + 5)*(g + 20)/5
Factor -q**3 - 15*q**2 - 38*q - 24.
-(q + 1)*(q + 2)*(q + 12)
Factor 2*c**2/9 + 74*c/9 - 940/9.
2*(c - 10)*(c + 47)/9
Solve -2*t**2 - 78*t = 0.
-39, 0
What is o in o**2 - 15*o - 126 = 0?
-6, 21
Determine s so that s**3 + s**2 - 5*s + 3 = 0.
-3, 1
Determine u, given that -27*u**4/5 + 36*u**3/5 + 12*u**2 - 48*u/5 = 0.
-4/3, 0, 2/3, 2
Find z, given that 150*z**4/7 - 746*z**3/7 - 3320*z**2/7 - 2488*z/7 - 64/7 = 0.
-2, -1, -2/75, 8
Solve -c**4/5 - 2*c**3 + 23*c**2/5 + 48*c - 576/5 = 0.
-8, 3
Factor -2*y**2/9 + 128*y/9 - 248/9.
-2*(y - 62)*(y - 2)/9
Solve -f**3/4 - 4*f**2 - 39*f/4 = 0 for f.
-13, -3, 0
Factor -a**2/2 - 13*a/2 + 7.
-(a - 1)*(a + 14)/2
Solve -4*m**5/5 + 168*m**4/5 + 352*m**3/5 = 0 for m.
-2, 0, 44
Let -2*f**2/9 - 14*f/9 + 20/3 = 0. Calculate f.
-10, 3
Let -3*b**3 + 807*b**2 - 54672*b + 53868 = 0. What is b?
1, 134
Let -484*q**4 - 367664*q**3 - 69755856*q**2 + 25402240*q - 2310400 = 0. Calculate q.
-380, 2/11
Find k such that 2*k**3 - 232*k**2 + 902*k - 672 = 0.
1, 3, 112
Let 2*v**2/3 - 808*v/3 + 806/3 = 0. What is v?
1, 403
Suppose -6*m**5/7 + 482*m**4/7 + 188*m**3 + 996*m**2/7 + 2*m/7 - 166/7 = 0. What is m?
-1, 1/3, 83
Suppose -5*d**5 - 65*d**4 + 350*d**3 + 110*d**2 - 1065*d - 765 = 0. What is d?
-17, -1, 3
Suppose 5*u**3 - 185*u**2 - 5*u + 185 = 0. Calculate u.
-1, 1, 37
Solve 2*p**2 - 8*p + 6 = 0 for p.
1, 3
Factor 121*m**4/6 - 440*m**3/3 + 1196*m**2/3 - 480*m + 216.
(m - 2)**2*(11*m - 18)**2/6
Find x, given that -5*x**3 + 20*x**2 + 255*x + 450 = 0.
-3, 10
Let -p**3/4 - 17*p**2/2 = 0. What is p?
-34, 0
Factor 2*r**3 + 8*r**2 - 30*r - 36.
2*(r - 3)*(r + 1)*(r + 6)
Suppose -4*s**4 + 36*s**3 + 48*s**2 - 80*s = 0. Calculate s.
-2, 0, 1, 10
Solve -11*c**2/5 - 42*c/5 + 8/5 = 0.
-4, 2/11
What is t in -t**5 + 9*t**4 - 8*t**3 = 0?
0, 1, 8
Factor 3*u**2 - 60*u.
3*u*(u - 20)
Find j, given that -429*j**3 - 6774*j**2 + 1464*j + 384 = 0.
-16, -2/13, 4/11
Factor 4*y**3/7 + 29*y**2/7 + 47*y/7 + 10/7.
(y + 2)*(y + 5)*(4*y + 1)/7
Solve 28227*h**4 + 168198*h**3 + 247071*h**2 - 10404*h + 108 = 0 for h.
-3, 2/97
Find y such that -11*y**4 + 16*y**3 + y**2 - 6*y = 0.
-6/11, 0, 1
Let -14*a**3 + 328*a**2 + 1336*a/7 + 192/7 = 0. What is a?
-2/7, 24
Factor -4*b**2/5 + 756*b - 7544/5.
-4*(b - 943)*(b - 2)/5
What is r in -42*r**5 - 81*r**4 + 9*r**3 + 93*r**2 + 45*r = 0?
-1, 0, 15/14
Factor -4*j**4 - 27*j**3 - 37*j**2 - 9*j + 5.
-(j + 1)**2*(j + 5)*(4*j - 1)
Factor 5*j**2 - 535*j - 1090.
5*(j - 109)*(j + 2)
Factor -u**4 + 8*u**3 + u**2 - 8*u.
-u*(u - 8)*(u - 1)*(u + 1)
Solve -2*r**2 + 688*r + 1384 = 0.
-2, 346
Factor -192*f**5 - 48*f**4 + 117*f**3 - 27*f**2.
-3*f**2*(f + 1)*(8*f - 3)**2
Factor 150*g**2 + 5*g - 5.
5*(5*g + 1)*(6*g - 1)
Determine h so that -5*h**4/4 - 740*h**3 + 15*h**2/4 + 4435*h/2 - 1480 = 0.
-592, -2, 1
Factor f**4/3 + 464*f**3/3 + 1374*f**2 + 4104*f + 4095.
(f + 3)**3*(f + 455)/3
Factor -20*h**3 - 72*h**2 + 272*h - 96.
-4*(h - 2)*(h + 6)*(5*h - 2)
Factor y**4 - 671*y**3 - 1345*y**2 - 673*y.
y*(y - 673)*(y + 1)**2
Determine q, given that -3*q**4/5 - 1089*q**3/5 - 99369*q**2/5 - 98283*q/5 = 0.
-181, -1, 0
Factor -2*q*