2 - 254*q/5 - 40 = 0 for q.
-50, -4, -1
Factor -4*y**3 + 144*y**2 - 960*y - 6400.
-4*(y - 20)**2*(y + 4)
Factor -6*z**2 + 1095*z/2 - 273/2.
-3*(z - 91)*(4*z - 1)/2
Factor -3*r**2 - 27*r + 270.
-3*(r - 6)*(r + 15)
Determine f so that -5*f**4 + 80*f**3 - 75*f**2 = 0.
0, 1, 15
Determine p so that -3*p**4 - 765*p**3 - 49149*p**2 - 48387*p = 0.
-127, -1, 0
Let -3*i**2 - 1518*i = 0. What is i?
-506, 0
Factor u**4/3 - 80*u**3 + 14158*u**2/3 + 9680*u + 14641/3.
(u - 121)**2*(u + 1)**2/3
What is b in 5*b**3/4 + 75*b**2/4 + 135*b/4 - 1215/4 = 0?
-9, 3
Suppose 7*n**5 - 5*n**4 - 14*n**3 + 10*n**2 + 7*n - 5 = 0. Calculate n.
-1, 5/7, 1
Let 125*y**5/4 - 775*y**4/4 - 1305*y**3/4 + 8735*y**2/4 + 1850*y + 375 = 0. What is y?
-3, -2/5, 5
Find k, given that 1029*k**5/2 + 1470*k**4 + 1008*k**3 + 264*k**2 + 24*k = 0.
-2, -2/7, 0
Factor o**3/2 + 151*o**2 + 22801*o/2.
o*(o + 151)**2/2
What is k in -5*k**3 - 1570*k**2 - 3125*k - 1560 = 0?
-312, -1
Find a, given that -5*a**3 + 5*a**2 = 0.
0, 1
Factor d**2/4 - 2449*d/4 - 1225/2.
(d - 2450)*(d + 1)/4
Solve -2*c**3 - 9204*c**2 - 14118936*c - 7219482608 = 0 for c.
-1534
Determine c so that -4*c**3 + 148*c**2 = 0.
0, 37
What is g in -22*g**2/3 + 950*g/3 - 172/3 = 0?
2/11, 43
Let -8*b**3/7 - 1132*b**2/7 + 1712*b/7 - 572/7 = 0. Calculate b.
-143, 1/2, 1
Find g such that 3*g**2/8 - 15*g/4 + 63/8 = 0.
3, 7
Factor 5*m**2 - 120*m + 720.
5*(m - 12)**2
Factor -7*b**3/3 + 712*b**2/3 + 1660*b/3 + 416/3.
-(b - 104)*(b + 2)*(7*b + 2)/3
Factor 36*y**2 - 376*y/5 + 32/5.
4*(y - 2)*(45*y - 4)/5
Solve -1444*r**3 - 173432*r**2/3 - 1792208*r/3 - 1119008/3 = 0.
-374/19, -2/3
Solve 4*q**2 + 392*q + 388 = 0.
-97, -1
Factor -3*j**2 + 582*j + 585.
-3*(j - 195)*(j + 1)
Determine a, given that a**3/2 + 51*a**2/2 - 2*a - 102 = 0.
-51, -2, 2
Factor l**3/7 - 151*l**2/7 - 88*l - 620/7.
(l - 155)*(l + 2)**2/7
Factor -3*s**3 - 1626*s**2 - 4857*s - 3234.
-3*(s + 1)*(s + 2)*(s + 539)
Let -4*k**3/5 + 12*k**2/5 + 4*k/5 - 12/5 = 0. Calculate k.
-1, 1, 3
Determine z so that -8*z**2/3 - 212*z + 320/3 = 0.
-80, 1/2
Factor 15*a**4/2 + 1310*a**3 + 76560*a**2 + 1513800*a + 975560.
5*(a + 58)**3*(3*a + 2)/2
Factor -4*w**3/9 + 56*w**2/9 + 128*w/9.
-4*w*(w - 16)*(w + 2)/9
Factor 2*h**2/15 - 196*h/15 + 4802/15.
2*(h - 49)**2/15
Factor 3*o**4/8 + 63*o**3/4 + 1443*o**2/8 + 315*o + 150.
3*(o + 1)**2*(o + 20)**2/8
Find t such that -1260*t**2 - 1368*t - 160 = 0.
-20/21, -2/15
Determine v, given that 3*v**5 + 12*v**4 + 3*v**3 - 42*v**2 - 60*v - 24 = 0.
-2, -1, 2
Factor -2*r**4 - 44*r**3 + 198*r**2 - 256*r + 104.
-2*(r - 2)*(r - 1)**2*(r + 26)
Factor -4*i**4 + 4*i**3 + 48*i**2 + 16*i - 64.
-4*(i - 4)*(i - 1)*(i + 2)**2
Suppose -h**2/7 - 38*h/7 - 240/7 = 0. What is h?
-30, -8
Factor 2*g**3/5 - 48*g**2/5 + 72*g - 160.
2*(g - 10)**2*(g - 4)/5
What is d in d**4/4 + 11*d**3/4 - 39*d**2/4 - 179*d/4 - 65/2 = 0?
-13, -2, -1, 5
Factor p**2 + 345*p.
p*(p + 345)
Factor g**2/6 + 107*g/6 + 53/3.
(g + 1)*(g + 106)/6
Factor -3*f**2/5 + 24*f/5.
-3*f*(f - 8)/5
Determine w so that w**3 + 28*w**2 + 25*w - 54 = 0.
-27, -2, 1
Let 3*v**5 - 84*v**4 + 369*v**3 - 564*v**2 + 276*v = 0. Calculate v.
0, 1, 2, 23
Solve -3*u**2 - 135*u - 1050 = 0 for u.
-35, -10
Suppose -2*f**2/9 + 740*f/9 - 68450/9 = 0. What is f?
185
Find s, given that -338*s**3/17 - 5720*s**2/17 - 5064*s/17 - 1152/17 = 0.
-16, -6/13
Determine z so that z**4 + 12*z**3 - 124*z**2 - 1248*z + 2880 = 0.
-12, 2, 10
Let l**2/3 - 5*l + 26/3 = 0. What is l?
2, 13
Determine v so that -4*v**2 + 16*v - 16 = 0.
2
Factor -245*f**4 + 4060*f**3 - 16820*f**2.
-5*f**2*(7*f - 58)**2
Find v, given that 5*v**4 + 50*v**3 + 65*v**2 - 300*v + 180 = 0.
-6, 1
Factor -2*h**3/7 - 24*h**2/7 - 58*h/7 + 12.
-2*(h - 1)*(h + 6)*(h + 7)/7
Solve f**2/4 + 355*f/4 - 89 = 0 for f.
-356, 1
Factor b**3 + 458*b**2 + 913*b + 456.
(b + 1)**2*(b + 456)
Determine p, given that -2*p**4/3 - 74*p**3/3 - 70*p**2/3 + 74*p/3 + 24 = 0.
-36, -1, 1
Determine w, given that -2*w**4 - 36*w**3 - 192*w**2 - 256*w = 0.
-8, -2, 0
Factor -2*y**3/5 + 256*y**2/5 + 104*y.
-2*y*(y - 130)*(y + 2)/5
Find y such that 50*y**5 + 197440*y**4 + 194991728*y**3 + 155898624*y**2 + 31173408*y = 0.
-1974, -2/5, 0
Factor 2*h**3/5 + 24*h**2/5 + 72*h/5.
2*h*(h + 6)**2/5
Factor -3*a**3 + 45*a**2 + 363*a + 315.
-3*(a - 21)*(a + 1)*(a + 5)
Let 2*v**3 - 4112*v**2 + 2117674*v - 4218916 = 0. What is v?
2, 1027
Find r, given that 6*r**3/7 + 114*r**2/7 + 96*r/7 - 216/7 = 0.
-18, -2, 1
Find f, given that -4*f**5 + 4*f**3 = 0.
-1, 0, 1
Determine d, given that -5*d**4 - 370*d**3 - 5185*d**2 + 62320*d - 100860 = 0.
-41, 2, 6
Solve -c**2/3 - 5*c/3 - 2 = 0 for c.
-3, -2
Factor -25*l**2/6 - 530*l/3 - 70.
-5*(l + 42)*(5*l + 2)/6
Factor -5*a**5 - 15*a**4 - 10*a**3 + 10*a**2 + 15*a + 5.
-5*(a - 1)*(a + 1)**4
Let 9*f**3/2 - 26*f**2 + 30*f + 8 = 0. Calculate f.
-2/9, 2, 4
Factor -2*o**2/5 + 2*o + 28/5.
-2*(o - 7)*(o + 2)/5
Factor 2*u**3/5 - 8*u**2/5 + 8*u/5.
2*u*(u - 2)**2/5
Factor 4*f**4 + 52*f**3 + 41*f**2 - 82*f + 24.
(f + 2)*(f + 12)*(2*f - 1)**2
Find z such that -15*z**3 - 57*z**2 + 24*z + 48 = 0.
-4, -4/5, 1
Determine d, given that 4*d**2 + 20*d - 56 = 0.
-7, 2
Factor 26198073*b**5 + 25933446*b**4 - 263736*b**3 + 890*b**2 - b.
b*(b + 1)*(297*b - 1)**3
Determine a, given that -14*a**5/5 + 74*a**4/5 + 162*a**3/5 + 46*a**2/5 - 28*a/5 = 0.
-1, 0, 2/7, 7
What is v in -5*v**2/2 - 245*v - 12005/2 = 0?
-49
Find d, given that 2*d**3/9 + 8*d**2/9 - 10*d/9 = 0.
-5, 0, 1
Suppose -5*z**4 - 20*z**3 - 25*z**2 - 10*z = 0. What is z?
-2, -1, 0
Let -5*c**4/2 + 770*c**3 - 78795*c**2 + 2652250*c + 5463635/2 = 0. What is c?
-1, 103
Factor 3*a**4 + 12*a**3 + 18*a**2 + 12*a + 3.
3*(a + 1)**4
Factor -2*u**2/11 - 774*u/11 + 776/11.
-2*(u - 1)*(u + 388)/11
Determine x so that 6*x**5/11 + 6*x**4/11 - 12*x**3/11 - 12*x**2/11 + 6*x/11 + 6/11 = 0.
-1, 1
Factor -p**2/3 - 43*p + 130/3.
-(p - 1)*(p + 130)/3
Determine b, given that 3*b**2/2 + 375*b + 46875/2 = 0.
-125
Let -2*z**4/15 - 68*z**3/15 + 8*z**2/15 + 272*z/15 = 0. Calculate z.
-34, -2, 0, 2
Factor -5*p**3 + 6035*p**2 + 12085*p + 6045.
-5*(p - 1209)*(p + 1)**2
Determine l so that -5*l**3 - 5*l**2 + 60*l = 0.
-4, 0, 3
Determine y so that -2*y**5/9 - 2*y**4 - 52*y**3/9 - 4*y**2 + 6*y + 6 = 0.
-3, -1, 1
Factor 2*d**2 - 2.
2*(d - 1)*(d + 1)
Factor k**4/8 - k**3/2 + 3*k**2/8 + k/2 - 1/2.
(k - 2)**2*(k - 1)*(k + 1)/8
Let 3*u**5 - 600*u**4 - 615*u**3 + 2400*u**2 + 2412*u = 0. Calculate u.
-2, -1, 0, 2, 201
Suppose -2*y**3 + 18*y**2 + 42*y + 22 = 0. What is y?
-1, 11
Let -q**5 - 8*q**4 + 12*q**3 + 26*q**2 - 11*q - 18 = 0. Calculate q.
-9, -1, 1, 2
Factor 5*o**4 + 330*o**3 - 680*o**2.
5*o**2*(o - 2)*(o + 68)
Solve 4*o**5 + 8*o**4 - 88*o**3 + 64*o**2 + 84*o - 72 = 0.
-6, -1, 1, 3
Factor q**2/7 - 36*q/7 - 37/7.
(q - 37)*(q + 1)/7
Factor -q**2 + 12*q + 13.
-(q - 13)*(q + 1)
Let -3*j**5 + 24*j**4 - 66*j**3 + 72*j**2 - 27*j = 0. Calculate j.
0, 1, 3
Let -y**3/4 - 81*y**2/2 - 2187*y - 39366 = 0. What is y?
-54
Find w such that 4*w**2/5 + 792*w/5 - 796/5 = 0.
-199, 1
Determine x, given that -1521*x**2 - 312*x - 16 = 0.
-4/39
Factor -2*j**4 - 124*j**3 + 934*j**2 - 2184*j + 1656.
-2*(j - 3)*(j - 2)**2*(j + 69)
Determine z so that 2*z**2 - 29476*z + 108604322 = 0.
7369
Find o such that 4*o**3 + 16*o**2 - 112*o + 128 = 0.
-8, 2
Determine t so that -3*t**3 - 30*t**2 - 72*t = 0.
-6, -4, 0
Suppose -3*i**5/8 + 297*i**4/8 - 573*i**3/8 - 885*i**2/8 + 144*i + 291/2 = 0. What is i?
-1, 2, 97
Let 5*w**5/6 - 5*w**4 + 35*w**3/3 - 40*w**2/3 + 15*w/2 - 5/3 = 0. Calculate w.
1, 2
Factor 3*v**3 + 9*v**2 + 9*v + 3.
3*(v + 1)**3
Factor s**2/3 - s/3 - 2/3.
(s - 2)*(s + 1)/3
Find x such that 3*x**2 + 111*x + 108 = 0.
-36, -1
Factor 2*g**2 - 12*g + 16.
2*(g - 4)*(g - 2)
Let -2*f**2 + 40*f + 42 = 0. Calculate f.
-1, 21
Let -6*u**2/5 - 166*u/5 - 108/5 = 0. Calculate u.
-27, -2/3
Factor -4*k**5/7 + 16*k**4/7 + 8*k**3/7 - 48*k**2/7 - 36*k/7.
-4*k*(k - 3)**2*(k + 1)**2/7
Solve 5*s**4 + 3940*s**3 + 1164270*s**2 + 152907460*s + 7530692405 = 0 for s.
-197
Factor p**2/5 - 32*p/5 + 256/5.
(p - 16)**2/5
Find w, given that 4*w**5 - 116*w**4 - 244*w**3 - 124*w**2 = 0.
-1, 0, 31
Determine r, given that 3*r**2/2 + 81*r + 2187/2 = 0.
-27
Factor 5*t**2 - 10*t.
5*t*(t - 2)
Factor -83521*b**4/4 - 122825*b**3 - 541875*b**2/2 - 265625*b - 390625/4.
-(17*b + 2