20.
2*(m - 30)*(m - 22)/11
Suppose y**2/4 + 993*y/2 - 1987/4 = 0. What is y?
-1987, 1
Factor -u**2/3 - 20*u/3 + 7.
-(u - 1)*(u + 21)/3
Let g**2/5 - 69*g/5 - 74 = 0. What is g?
-5, 74
Find h, given that 4*h**2 + 3516*h + 3512 = 0.
-878, -1
Determine r, given that r**2 + 20*r + 36 = 0.
-18, -2
Suppose 5*y**4/3 + 250*y**3/3 + 1765*y**2/3 + 3620*y/3 + 700 = 0. Calculate y.
-42, -5, -2, -1
Solve -2*u**2/9 - 266*u/3 = 0 for u.
-399, 0
Factor x**3/2 - 185*x**2/3 + 41*x/2.
x*(x - 123)*(3*x - 1)/6
Find c such that -2*c**4 - 10*c**3 + 6*c**2 + 26*c - 20 = 0.
-5, -2, 1
Factor -22*m**2/3 + 46*m/3 + 20.
-2*(m - 3)*(11*m + 10)/3
Factor s**4 - 4*s**3 - 18*s**2 + 108*s - 135.
(s - 3)**3*(s + 5)
Determine f, given that 2*f**4/11 - 2*f**3 + 54*f**2/11 - 50*f/11 + 16/11 = 0.
1, 8
Solve -3*p**3/10 - 11*p**2/10 - p/2 + 3/10 = 0 for p.
-3, -1, 1/3
Let d**4/2 - d**3 - 111*d**2/2 + 56*d + 1568 = 0. Calculate d.
-7, 8
Suppose 2*l**2/5 - 42*l/5 + 108/5 = 0. Calculate l.
3, 18
Let 4*v**5/3 - 20*v**4/3 - 116*v**3/3 + 436*v**2/3 - 32*v/3 - 560/3 = 0. What is v?
-5, -1, 2, 7
Find i such that 3*i**4/5 + 9*i**3 + 33*i**2/5 - 117*i = 0.
-13, -5, 0, 3
Factor -j**5/4 + 3*j**4/4 + j**3.
-j**3*(j - 4)*(j + 1)/4
Factor o**2 - 47*o + 46.
(o - 46)*(o - 1)
Factor -4*n**2/3 - 13288*n/3 - 11035684/3.
-4*(n + 1661)**2/3
Determine w so that -64*w**5 - 1056*w**4 + 604*w**3 + 988*w**2 - 540*w + 68 = 0.
-17, -1, 1/4, 1
Factor -m**2/3 - 3367*m/3 - 6730/3.
-(m + 2)*(m + 3365)/3
Factor 256*l**3/3 - 1472*l**2/3 - 380*l/3 - 8.
4*(l - 6)*(8*l + 1)**2/3
Determine c so that -c**4/5 - 37*c**3/5 + 39*c**2/5 + 37*c/5 - 38/5 = 0.
-38, -1, 1
Determine f, given that 2*f**4/7 - 180*f**3/7 + 352*f**2/7 = 0.
0, 2, 88
Factor -i**4/2 - 23*i**3/2 + i**2/2 + 23*i/2.
-i*(i - 1)*(i + 1)*(i + 23)/2
Factor -3*q**5 - 12*q**4 + 9*q**3 + 54*q**2.
-3*q**2*(q - 2)*(q + 3)**2
Factor 3*v**2/5 + 4998*v/5 + 2081667/5.
3*(v + 833)**2/5
Factor 4*x**3 + 52*x**2 - 36*x - 1620.
4*(x - 5)*(x + 9)**2
Solve -2*v**3/17 - 44*v**2/17 - 152*v/17 - 144/17 = 0.
-18, -2
Factor -36*d**3 - 48*d**2 - 16*d.
-4*d*(3*d + 2)**2
Determine t, given that -4*t**3 - 356*t**2 - 2592*t = 0.
-81, -8, 0
Find i, given that -18*i**4 - 88*i**3 - 116*i**2 - 40*i + 6 = 0.
-3, -1, 1/9
Factor 12*u**3/7 + 20*u**2/7 + 4*u/7 - 4/7.
4*(u + 1)**2*(3*u - 1)/7
Find p, given that -19*p**2 - 17*p = 0.
-17/19, 0
Solve 2*u**3 + 4*u**2 - 646*u = 0.
-19, 0, 17
What is y in 4*y**4/13 + 30*y**3/13 + 10*y**2/13 - 30*y/13 - 14/13 = 0?
-7, -1, -1/2, 1
Factor l**2/2 + 13*l/2.
l*(l + 13)/2
Let -3*t**4 + 48*t**3 - 189*t**2 - 48*t + 192 = 0. Calculate t.
-1, 1, 8
Suppose -5*j**5 - 10*j**4 + 90*j**3 + 40*j**2 - 205*j - 150 = 0. What is j?
-5, -1, 2, 3
Let -2*g**2/5 - 46*g/5 = 0. Calculate g.
-23, 0
Factor 2*w**3 - 2046*w**2.
2*w**2*(w - 1023)
Factor r**4/7 + 230*r**3/7 + 13452*r**2/7 + 25992*r/7.
r*(r + 2)*(r + 114)**2/7
Find m such that -2*m**3 - 136*m**2 - 2312*m = 0.
-34, 0
Factor -3*t**5/2 - 93*t**4 - 1995*t**3/2 + 14700*t**2.
-3*t**2*(t - 8)*(t + 35)**2/2
Solve 2*d**4/9 + 148*d**3/9 + 290*d**2/9 + 16*d = 0.
-72, -1, 0
Factor -16*d**5/3 + 52*d**4/3 - 20*d**3 + 28*d**2/3 - 4*d/3.
-4*d*(d - 1)**3*(4*d - 1)/3
Factor 5*l**3 - 1105*l**2.
5*l**2*(l - 221)
Suppose 2*a**2 - 66*a + 280 = 0. Calculate a.
5, 28
Factor -2*h**3/5 + 14*h**2/5 + 156*h/5.
-2*h*(h - 13)*(h + 6)/5
Factor 5*m**3/3 + 5*m**2/3 - 20*m.
5*m*(m - 3)*(m + 4)/3
Suppose y**4/5 - 239*y**3/5 - 3*y**2/5 + 143*y + 478/5 = 0. Calculate y.
-1, 2, 239
Factor -34*m**4/3 - 274*m**3/3 - 560*m**2/3 - 32*m/3.
-2*m*(m + 4)**2*(17*m + 1)/3
Factor -u**5/5 + u**4/5 + 6*u**3/5 - 14*u**2/5 + 11*u/5 - 3/5.
-(u - 1)**4*(u + 3)/5
Solve i**4 + 3*i**3 - 4*i = 0 for i.
-2, 0, 1
Factor 3*i**5 - 11151*i**4 + 13816089*i**3 - 5706044757*i**2.
3*i**2*(i - 1239)**3
What is a in -28*a**5 + 148*a**4 - 208*a**3 + 48*a**2 = 0?
0, 2/7, 2, 3
Determine b so that 5*b**5/2 - 25*b**4/2 + 20*b**3 - 10*b**2 = 0.
0, 1, 2
Suppose 4*c**5 - 152*c**4 + 1212*c**3 - 2632*c**2 + 1568*c = 0. What is c?
0, 1, 2, 7, 28
Let 2*b**2/9 + 2*b - 44/9 = 0. What is b?
-11, 2
Factor 2*d**3 + 498*d**2 + 33120*d + 259200.
2*(d + 9)*(d + 120)**2
Factor g**3/4 - 645*g**2/4 - 647*g/2.
g*(g - 647)*(g + 2)/4
Find n, given that 5*n**3 + 10*n**2 - 15*n = 0.
-3, 0, 1
Let t**2/2 + 99*t/2 + 144 = 0. Calculate t.
-96, -3
Factor 4*h**3/5 + 64*h**2/5 + 60*h + 432/5.
4*(h + 3)*(h + 4)*(h + 9)/5
Factor -x**4 + 8*x**2 - 16.
-(x - 2)**2*(x + 2)**2
Determine d so that d**3 - 6*d**2 - 9*d + 14 = 0.
-2, 1, 7
Factor -2*l**2/15 - 80*l/3 + 430.
-2*(l - 15)*(l + 215)/15
Factor -5*f**3 - 45*f**2 - 120*f - 100.
-5*(f + 2)**2*(f + 5)
Factor -3*j**3/8 - 21*j**2 - 2511*j/8 - 2187/4.
-3*(j + 2)*(j + 27)**2/8
Factor t**3 + 13*t**2 + 32*t + 20.
(t + 1)*(t + 2)*(t + 10)
Solve 4*j**5/7 - 20*j**4/7 - 184*j**3/7 - 160*j**2/7 = 0 for j.
-4, -1, 0, 10
Factor 25*f**3 + 205*f**2 + 440*f + 80.
5*(f + 4)**2*(5*f + 1)
Factor -2*v**4/11 + 36*v**3/11 - 192*v**2/11 + 256*v/11.
-2*v*(v - 8)**2*(v - 2)/11
Find w, given that 3*w**3 - 24*w**2 - 27*w = 0.
-1, 0, 9
Factor 3*d**3/7 + 331*d**2/7 - 222*d/7.
d*(d + 111)*(3*d - 2)/7
Determine s so that -5*s**5/4 + 175*s**4/2 + 545*s**3/2 + 95*s**2 - 1085*s/4 - 365/2 = 0.
-2, -1, 1, 73
Suppose 2*u**5/13 + 6*u**4/13 - 32*u**3/13 - 8*u**2 + 128/13 = 0. Calculate u.
-4, -2, 1, 4
Solve 4*k**3/5 - 8932*k**2/5 + 4990752*k/5 - 4981824/5 = 0.
1, 1116
Find h such that 9*h**5 - 150*h**4 + 813*h**3 - 1332*h**2 - 540*h = 0.
-1/3, 0, 5, 6
Find k such that -4*k**2/11 - 378*k/11 - 188/11 = 0.
-94, -1/2
Factor -1323*j**3/4 - 63*j**2 - 3*j.
-3*j*(21*j + 2)**2/4
Factor y**4 - 4*y**3 + 6*y**2 - 4*y + 1.
(y - 1)**4
Suppose -4*c**5/5 + 668*c**4/5 - 29496*c**3/5 + 133128*c**2/5 - 14580*c - 236196/5 = 0. Calculate c.
-1, 3, 81
Factor 4*p**2 + 4*p - 120.
4*(p - 5)*(p + 6)
Factor 4*d**2 + 19096*d + 22791076.
4*(d + 2387)**2
Find i such that -5*i**3 + 515*i**2 - 14000*i + 37500 = 0.
3, 50
Find m, given that -2*m**3/13 - 1172*m**2/13 - 171698*m/13 = 0.
-293, 0
Factor 5*f**5 - 55*f**3 - 90*f**2 - 40*f.
5*f*(f - 4)*(f + 1)**2*(f + 2)
Solve 3*m**2/4 - 105*m/4 + 51/2 = 0.
1, 34
Find z, given that 2*z**5/3 + 20*z**4 + 56*z**3 + 164*z**2/3 + 18*z = 0.
-27, -1, 0
Factor -q**4 - 7*q**3 - 2*q**2 + 40*q.
-q*(q - 2)*(q + 4)*(q + 5)
Solve -2*x**5/11 + 14*x**4/11 + 2*x**3 - 38*x**2/11 - 76*x/11 - 32/11 = 0.
-1, 2, 8
Factor m**2 + 517*m.
m*(m + 517)
Determine a, given that 5*a**3 - 195*a**2 + 1575*a + 6615 = 0.
-3, 21
Factor g**2 + 11*g + 10.
(g + 1)*(g + 10)
What is r in r**4/7 - 2*r**3/7 = 0?
0, 2
Determine g, given that -g**3/4 + 7*g**2 - 221*g/4 + 169/2 = 0.
2, 13
Determine l, given that 5*l**5 - 290*l**4 - 325*l**3 + 1750*l**2 + 1220*l - 2360 = 0.
-2, 1, 2, 59
Factor 5*g**3/3 - 25*g**2/6 - 5*g/2.
5*g*(g - 3)*(2*g + 1)/6
Let -36*a**4/5 + 113304*a**3/5 - 264244*a**2/5 + 201296*a/5 - 10064 = 0. Calculate a.
2/3, 1, 3145
Factor -2*x**3 + 1032*x**2 - 177504*x + 10176896.
-2*(x - 172)**3
Solve 2*h**3 + 280*h**2 + 9514*h - 20164 = 0.
-71, 2
What is b in -4*b**4/7 - 244*b**3/7 - 3036*b**2/7 + 21780*b/7 = 0?
-33, 0, 5
Determine z, given that -3*z**4 + 819*z**3 + 2484*z**2 + 12*z - 3312 = 0.
-2, 1, 276
Factor 9*p**4/5 - 699*p**3/5 + 463*p**2/5 - 77*p/5.
p*(p - 77)*(3*p - 1)**2/5
Factor 10*j**3/17 - 2*j**2/17 - 10*j/17 + 2/17.
2*(j - 1)*(j + 1)*(5*j - 1)/17
Suppose -2*x**2/7 - 472*x/7 - 27848/7 = 0. What is x?
-118
Suppose 2*q**2 + 248*q = 0. Calculate q.
-124, 0
Solve -i**5 + i**4 + 15*i**3 + 23*i**2 + 10*i = 0 for i.
-2, -1, 0, 5
Factor -5*g**2 + 525*g + 7670.
-5*(g - 118)*(g + 13)
Factor -x**3 - 165*x**2 - 6192*x + 51772.
-(x - 7)*(x + 86)**2
Factor -2*d**2/3 - 16312*d/3 - 33260168/3.
-2*(d + 4078)**2/3
Factor -x**2 + 138*x + 280.
-(x - 140)*(x + 2)
Factor -r**2 - 116*r - 3364.
-(r + 58)**2
Let 5*u**3 + 16185*u**2 + 17463615*u + 6281080195 = 0. Calculate u.
-1079
Let 28*s**5 - 288*s**4 + 304*s**3 + 216*s**2 - 332*s + 72 = 0. What is s?
-1, 2/7, 1, 9
Solve -4*x**4 - 32*x**3 - 12*x**2 + 128*x + 112 = 0.
-7, -2, -1, 2
Suppose -29*v**4/3 + 38*v**3 - 79*v**2/3 - 2*v = 0. Calculate v.
-2/29, 0, 1, 3
Let -r**5/2 + 19*r**4/2 + 21*r**3/2 - 19*r**2/2 - 10*r = 0. Calculate r.
-1, 0, 1, 20
Factor -2*r**3 + 6*r**2 - 4*r.
-2*r*(r - 2)*(r - 1)
Factor -b**3 - 292*b**2 + 1180*b - 1184.
-(b - 2)**2*(b + 296)
Factor -s**2/2 - 49*s/2 - 24.
-(s + 1)*(