*2
Factor -2000*h**3 + 1400*h**2 + 555*h + 45.
-5*(h - 1)*(20*h + 3)**2
Find a, given that -2*a**5/3 + 10*a**4 - 106*a**3/3 - 86*a**2/3 + 92*a + 224/3 = 0.
-1, 2, 7, 8
Factor 5*j**2 + 735*j + 2160.
5*(j + 3)*(j + 144)
Suppose 3*j**3 + 9*j**2 - 39*j - 45 = 0. Calculate j.
-5, -1, 3
Factor -s**3/4 + 85*s**2/4 + 173*s/4 + 87/4.
-(s - 87)*(s + 1)**2/4
Find p such that p**4/4 + 5*p**3/4 - 57*p**2/4 + 99*p/4 = 0.
-11, 0, 3
Factor -2*b**3/3 - 88*b**2/3 - 530*b/3 - 148.
-2*(b + 1)*(b + 6)*(b + 37)/3
Factor j**5 - 2*j**4 - 7*j**3 - 4*j**2.
j**2*(j - 4)*(j + 1)**2
Determine q, given that -5*q**4 - 285*q**3 - 250*q**2 + 1680*q = 0.
-56, -3, 0, 2
Suppose -60*c**5 + 304*c**4 - 252*c**3 - 24*c**2 + 32*c = 0. Calculate c.
-1/3, 0, 2/5, 1, 4
Find z such that -2*z**3 + 2*z**2 + 466*z + 1326 = 0.
-13, -3, 17
Factor -y**5 - 7*y**4 - 18*y**3 - 20*y**2 - 8*y.
-y*(y + 1)*(y + 2)**3
What is j in 4*j**2 + 10896*j + 7420176 = 0?
-1362
Find o such that -4*o**4 + 12*o**3 + 160*o**2 = 0.
-5, 0, 8
Find x, given that -80*x**5 - 1308*x**4 - 4164*x**3 + 9620*x**2 - 4716*x + 648 = 0.
-9, 1/4, 2/5, 1
Let 36*j**3 - 100*j**2 - 212*j/9 - 4/3 = 0. What is j?
-1/9, 3
Factor v**4 - 988*v**3 + 366054*v**2 - 60276892*v + 3722098081.
(v - 247)**4
Solve 18*y**5/17 - 32*y**4/17 - 80*y**3/17 + 128*y**2/17 + 32*y/17 = 0 for y.
-2, -2/9, 0, 2
Let 3*p**3 + 114*p**2 + 840*p = 0. Calculate p.
-28, -10, 0
Factor 4*z**3 + 76*z**2 - 4*z - 76.
4*(z - 1)*(z + 1)*(z + 19)
Factor -33*x**3 + 3108*x**2 - 3633*x + 558.
-3*(x - 93)*(x - 1)*(11*x - 2)
Find p, given that -2*p**2/9 + 304*p/9 - 302/9 = 0.
1, 151
Determine m, given that -m**5 - 8*m**4/3 - 2*m**3/3 + 4*m**2 + 13*m/3 + 4/3 = 0.
-1, 4/3
Factor y**4/9 + 2*y**3/3 + 13*y**2/9 + 4*y/3 + 4/9.
(y + 1)**2*(y + 2)**2/9
Determine p, given that -3*p**4/2 - 33*p**3/2 - 54*p**2 - 24*p + 96 = 0.
-4, 1
Find v such that v**3/5 + 2*v**2/5 - 7*v/5 + 4/5 = 0.
-4, 1
What is k in -k**2/2 - 4571*k/2 = 0?
-4571, 0
Factor -4*k**3 - 23556*k**2 - 46240428*k - 30256653388.
-4*(k + 1963)**3
Find u such that 81*u**4 + 6174*u**3 + 118333*u**2 + 26068*u + 1444 = 0.
-38, -1/9
Find b, given that -b**5/6 + 37*b**4/3 + 166*b**3 + 516*b**2 = 0.
-6, 0, 86
Find o, given that 5*o**5/3 - 220*o**4/3 + 380*o**3 + 90*o**2 - 3555*o + 5130 = 0.
-3, 3, 38
Determine d so that -2*d**4/9 + 22*d**3/3 + 70*d**2/9 - 22*d/3 - 68/9 = 0.
-1, 1, 34
Determine v so that -v**4/6 + 5*v**3/6 + 2*v**2/3 - 22*v/3 + 8 = 0.
-3, 2, 4
Factor 74*p**2 + 72*p - 2.
2*(p + 1)*(37*p - 1)
Solve 3*l**2 + 51*l - 54 = 0 for l.
-18, 1
Factor 3*r**4 + 18*r**3 + 15*r**2.
3*r**2*(r + 1)*(r + 5)
Factor j**2/3 - 1528*j + 1751088.
(j - 2292)**2/3
Factor 24*v**3/11 + 810*v**2/11 + 612*v - 1734/11.
6*(v + 17)**2*(4*v - 1)/11
Factor g**3 - 5*g**2/4.
g**2*(4*g - 5)/4
Factor 2*h**4/15 - 6*h**3/5 + 2*h**2 - 14*h/15.
2*h*(h - 7)*(h - 1)**2/15
What is j in 2*j**2 + 348*j - 350 = 0?
-175, 1
Suppose -22*u**3 - 439*u**2 - 398*u + 19 = 0. What is u?
-19, -1, 1/22
Factor m**4/4 + 663*m**3/2 + 440893*m**2/4 + 219453*m + 109561.
(m + 1)**2*(m + 662)**2/4
What is j in -2*j**4 - 2*j**3 + 6*j**2 + 2*j - 4 = 0?
-2, -1, 1
Factor -5120*a**2 - 320*a - 5.
-5*(32*a + 1)**2
Factor -t**2/3 - 43*t/3 - 14.
-(t + 1)*(t + 42)/3
Solve 2*d**4/9 - 46*d**3/9 + 286*d**2/9 - 242*d/9 = 0 for d.
0, 1, 11
Find y such that -2*y**3/3 - 32*y**2/3 + 74*y + 84 = 0.
-21, -1, 6
Factor 4*j**5 - 96*j**3 + 248*j**2 - 228*j + 72.
4*(j - 3)*(j - 1)**3*(j + 6)
Suppose -f**2 - 38*f - 217 = 0. Calculate f.
-31, -7
Factor -5*a**3 + 160*a**2 - 580*a + 560.
-5*(a - 28)*(a - 2)**2
Factor p**3/7 - 167*p**2/7 + 7055*p/7 - 6889/7.
(p - 83)**2*(p - 1)/7
Find y, given that -5*y**4 - 75*y**3 = 0.
-15, 0
Factor -9*b**2/4 + 249*b/2 + 855/4.
-3*(b - 57)*(3*b + 5)/4
Factor b**4/8 - 3*b**3/8 - 3*b**2/2 + 13*b/2 - 6.
(b - 3)*(b - 2)**2*(b + 4)/8
Factor -25*u**2 + 35*u - 10.
-5*(u - 1)*(5*u - 2)
Factor 3*r**2 - 24*r + 45.
3*(r - 5)*(r - 3)
Factor 3*b**3/7 - 1350*b**2/7 + 202500*b/7 - 10125000/7.
3*(b - 150)**3/7
Determine d, given that -2*d**3 + 24*d**2 - 54*d = 0.
0, 3, 9
Factor -3*z**3 - 348*z**2 - 1356*z - 1344.
-3*(z + 2)**2*(z + 112)
Factor 20*n**2 + 44*n + 8.
4*(n + 2)*(5*n + 1)
Let 5*c**5 + 7*c**4 - 13*c**3 - 31*c**2 - 20*c - 4 = 0. Calculate c.
-1, -2/5, 2
Factor -y**2 + 42*y - 117.
-(y - 39)*(y - 3)
Solve 6*g**4 - 46*g**3 + 56*g**2 + 24*g = 0 for g.
-1/3, 0, 2, 6
Factor -4*o**3 - 50772*o**2 - 214816332*o - 302962633564.
-4*(o + 4231)**3
Determine d, given that -11*d**4 - 51*d**3 + 33*d**2 + 175*d + 102 = 0.
-51/11, -1, 2
Factor -4*b**3/7 + 64*b/7.
-4*b*(b - 4)*(b + 4)/7
Factor -c**4 - 514*c**3 - 513*c**2.
-c**2*(c + 1)*(c + 513)
Factor -r**3 + 24*r**2 + 51*r + 26.
-(r - 26)*(r + 1)**2
Factor x**4/6 + x**3/2 - 5*x**2/6 - x/2 + 2/3.
(x - 1)**2*(x + 1)*(x + 4)/6
Factor 44*j**2 + 6*j/7 - 2/7.
2*(11*j + 1)*(14*j - 1)/7
Factor -3*n**3/8 + 45*n**2/4 + 27*n - 96.
-3*(n - 32)*(n - 2)*(n + 4)/8
Factor 109*z**4/11 - 106*z**3/11 - 3*z**2/11.
z**2*(z - 1)*(109*z + 3)/11
Find w, given that -6*w**3/11 - 48672*w**2/11 - 131609088*w/11 - 118623657984/11 = 0.
-2704
Suppose -h**4 - 15*h**3 - 57*h**2 - 73*h - 30 = 0. What is h?
-10, -3, -1
Suppose -15*r**3 + 456*r**2 - 807*r - 1278 = 0. Calculate r.
-1, 3, 142/5
What is p in -4*p**3/7 - 1028*p**2/7 - 5064*p/7 - 864 = 0?
-252, -3, -2
Find h, given that -h**3 + 43*h**2/3 + 10*h = 0.
-2/3, 0, 15
Factor 2*a**3/3 - 116*a**2 + 230*a - 344/3.
2*(a - 172)*(a - 1)**2/3
Suppose -m**3/3 - 4*m**2/3 - m = 0. What is m?
-3, -1, 0
Let -2*v**2/11 + 6*v - 64/11 = 0. Calculate v.
1, 32
Factor m**2/6 + 356*m/3 - 713/6.
(m - 1)*(m + 713)/6
Let -3*u**3/2 - 2487*u**2/2 = 0. What is u?
-829, 0
Factor 4*i**3 - 336*i**2 + 7956*i - 36504.
4*(i - 39)**2*(i - 6)
Find a such that 2*a**5/5 + 4*a**4/5 - 4*a**2/5 - 2*a/5 = 0.
-1, 0, 1
Factor -4*p**4 + 12*p**2 + 8*p.
-4*p*(p - 2)*(p + 1)**2
Find j such that 2*j**4/23 + 86*j**3/23 + 1170*j**2/23 + 4050*j/23 - 13500/23 = 0.
-15, 2
Solve 2*v**5/7 + 6*v**4/7 - 92*v**3/7 + 156*v**2/7 + 90*v/7 - 162/7 = 0 for v.
-9, -1, 1, 3
Find f such that -4*f**3/5 - 24*f**2/5 - 36*f/5 - 16/5 = 0.
-4, -1
Let -4*u**4 + 48*u**3 + 4*u**2 - 48*u = 0. What is u?
-1, 0, 1, 12
Factor -3*n**3 + 6*n**2 + 93*n + 84.
-3*(n - 7)*(n + 1)*(n + 4)
Find p such that 4*p**2 - 412*p + 1584 = 0.
4, 99
Find y such that 2*y**3 + 20296*y**2/7 + 7352950*y/7 - 2102500/7 = 0.
-725, 2/7
Determine x, given that x**2 + 41*x + 78 = 0.
-39, -2
Determine p so that -4*p**2 - 116*p - 112 = 0.
-28, -1
Factor -w**3/2 + 57*w**2 + 2065*w/2 + 975.
-(w - 130)*(w + 1)*(w + 15)/2
Factor -m**3/2 + 1066*m**2 - 568178*m.
-m*(m - 1066)**2/2
Factor -5*q**2/6 + 765*q - 351135/2.
-5*(q - 459)**2/6
Factor -2*x**5 - 8*x**4 + 16*x**3 + 20*x**2 - 46*x + 20.
-2*(x - 1)**3*(x + 2)*(x + 5)
Determine o so that -o**5/2 - 9*o**4/2 - 29*o**3/2 - 39*o**2/2 - 9*o = 0.
-3, -2, -1, 0
Suppose -5*u**3 - 190*u**2 - 1980*u - 3240 = 0. Calculate u.
-18, -2
Find q such that -q**3 + 351*q**2 + 3585*q + 9025 = 0.
-5, 361
Let 2*p**2 + 32*p + 110 = 0. What is p?
-11, -5
Suppose 2*z**4/9 - 4*z**3/3 + 2*z**2 = 0. Calculate z.
0, 3
Factor 3*t**2 - 1452*t - 1455.
3*(t - 485)*(t + 1)
Factor 2*g**2 + 106*g + 564.
2*(g + 6)*(g + 47)
Find j such that -11*j**4 + 24*j**3 + 7*j**2 - 24*j + 4 = 0.
-1, 2/11, 1, 2
Find r such that -2*r**5/5 - 22*r**4 - 1454*r**3/5 + 1678*r**2/5 + 1456*r/5 - 1568/5 = 0.
-28, -1, 1
Determine a, given that a**3 - 9*a**2 + 26*a - 24 = 0.
2, 3, 4
Find t such that 140*t**4 + 9935*t**3 + 171005*t**2 - 187560*t + 6480 = 0.
-36, 1/28, 1
Factor -n**4 - 1964*n**3 - 962358*n**2 + 1930612*n - 966289.
-(n - 1)**2*(n + 983)**2
Factor 5*z**3 - 50*z**2 - 435*z - 720.
5*(z - 16)*(z + 3)**2
Factor -363*v**2/2 - 33*v - 3/2.
-3*(11*v + 1)**2/2
Factor -3*g**2 + 13440*g - 15052800.
-3*(g - 2240)**2
Let -2*s**2/7 + 46*s/7 - 120/7 = 0. What is s?
3, 20
Find b such that -b**3 - 6*b**2 + 96*b + 640 = 0.
-8, 10
What is a in -2*a**2/17 + 36*a/17 - 64/17 = 0?
2, 16
Let -36*x**4/7 + 7656*x**3/7 - 409588*x**2/7 + 270512*x/7 - 44944/7 = 0. Calculate x.
1/3, 106
Let -4*u**4 - 20*u**3 - 12*u**2 + 20*u + 16 = 0. Calculate u.
-4, -1, 1
Find b such that 4*b**3/5 + 24*b**2/5 - 4*b/5 - 24/5 = 0.
-6, -1, 1
Factor -2*h**2 + 34*h - 120.
-2*(h - 12)*(h - 5)
Let -k**2/9 + 53*k/9 + 70 = 0. What is k?
-10, 63
Let -3*j**4/2 + 9*j**3/2 + 27*j**2 = 0. Calc