*q**3 - q**2 + 2*q.
q*(q - 1)**2*(q + 1)*(q + 2)
Find v such that 2*v**4 - 20*v**3 + 30*v**2 + 20*v - 32 = 0.
-1, 1, 2, 8
Determine k so that 2*k**4 - 148*k**3 + 1880*k**2 + 32592*k + 56448 = 0.
-8, -2, 42
Factor -2*f**2/7 + 74*f/7 - 464/7.
-2*(f - 29)*(f - 8)/7
Determine s, given that 2*s**5 - 8*s**4 = 0.
0, 4
Factor 65*z**3/6 - z**2/3 - 130*z/3 + 4/3.
(z - 2)*(z + 2)*(65*z - 2)/6
Determine k so that k**3/2 + 993*k**2/2 + 246015*k/2 - 247009/2 = 0.
-497, 1
Factor 4*h**2/7 - 192*h/7 + 2304/7.
4*(h - 24)**2/7
Find o, given that -4*o**4/7 - 164*o**3/7 + 48*o**2/7 + 2032*o/7 + 2624/7 = 0.
-41, -2, 4
Factor 12*k**3 - 532*k**2 + 5984*k - 1936.
4*(k - 22)**2*(3*k - 1)
Find m such that -3*m**5/5 - 12*m**4/5 + 3*m**3/5 + 12*m**2/5 = 0.
-4, -1, 0, 1
Factor -s**2/3 - 17*s - 344/3.
-(s + 8)*(s + 43)/3
Find x, given that 25*x**5 - 85*x**4 + 65*x**3 + 25*x**2 - 30*x = 0.
-3/5, 0, 1, 2
Suppose 2*i**5 - 42*i**4 - 194*i**3 - 150*i**2 = 0. Calculate i.
-3, -1, 0, 25
Let -4*j**3 + 24*j**2 + 148*j + 120 = 0. Calculate j.
-3, -1, 10
Factor -3*f**3 + 69*f**2 + 174*f - 600.
-3*(f - 25)*(f - 2)*(f + 4)
Solve 6*t**5 + 105*t**4 + 522*t**3 + 372*t**2 - 1680*t + 675 = 0.
-9, -5, 1/2, 1
Solve 2*w**5/5 + 4*w**4 + 2*w**3 - 16*w**2 - 72*w/5 = 0.
-9, -2, -1, 0, 2
Determine o so that -o**2/3 - 8*o - 44/3 = 0.
-22, -2
Factor 5*q**4 - 50*q**3 + 60*q**2 + 360*q.
5*q*(q - 6)**2*(q + 2)
Suppose -4*d**4 + 361*d**3 - 10890*d**2 + 110700*d - 27000 = 0. What is d?
1/4, 30
Let 2*w**3/5 - 7158*w**2/5 + 8539494*w/5 - 3395872114/5 = 0. Calculate w.
1193
Let -2*v**5/3 - 364*v**4/3 - 16556*v**3/3 + 1088*v**2/3 + 48958*v/3 - 33124/3 = 0. Calculate v.
-91, -2, 1
Factor -2*i**3/9 - 2*i**2/9 + 10*i/9 - 2/3.
-2*(i - 1)**2*(i + 3)/9
Factor -5*v**4 - 135*v**3 + 140*v**2.
-5*v**2*(v - 1)*(v + 28)
Let -200*f**4/3 - 3560*f**3/3 + 13318*f**2/3 - 852*f + 42 = 0. What is f?
-21, 1/10, 3
Factor -3*p**4 + 369*p**3 - 729*p**2 + 363*p.
-3*p*(p - 121)*(p - 1)**2
Determine p so that 2*p**5/5 + 8*p**4/5 + 6*p**3/5 - 8*p**2/5 - 8*p/5 = 0.
-2, -1, 0, 1
Factor -5*g**2/2 + 16550*g - 27390250.
-5*(g - 3310)**2/2
What is s in 5*s**4 + 210*s**3 - 1640*s**2 + 3630*s - 2205 = 0?
-49, 1, 3
Factor -3*t**2/5 - 9687*t/5 + 1938.
-3*(t - 1)*(t + 3230)/5
Determine n so that -5*n**2 - 13840*n = 0.
-2768, 0
Determine l, given that -12*l**4 - 15*l**3 + 30*l**2 + 15*l - 18 = 0.
-2, -1, 3/4, 1
Suppose 32*m**3/3 + 112*m**2/15 - 46*m/15 + 2/15 = 0. What is m?
-1, 1/20, 1/4
Factor -5*q**2 - 3030*q - 459045.
-5*(q + 303)**2
Factor -6*h**3/13 - 44*h**2/13 + 90*h/13.
-2*h*(h + 9)*(3*h - 5)/13
Factor 18*s**2 + 2*s.
2*s*(9*s + 1)
Factor 4*s**3 - 320*s**2.
4*s**2*(s - 80)
Factor -b**5 + 4*b**4 - 2*b**3 - 4*b**2 + 3*b.
-b*(b - 3)*(b - 1)**2*(b + 1)
Suppose -3*h**5/4 + 9*h**4/2 + 15*h**3/2 - 39*h**2 - 315*h/4 - 75/2 = 0. Calculate h.
-2, -1, 5
Solve o**3/3 + 61*o**2 - 62*o - 368/3 = 0.
-184, -1, 2
Factor 2*f**4/3 + 18*f**3 - 176*f**2/3 + 40*f.
2*f*(f - 2)*(f - 1)*(f + 30)/3
Suppose 9*a**3/4 + 60*a**2 + 381*a/4 + 75/2 = 0. What is a?
-25, -1, -2/3
Factor -m**4/2 + m**3 + 7*m**2/2 - 10*m + 6.
-(m - 2)**2*(m - 1)*(m + 3)/2
Solve -2*z**3/13 + 450*z**2/13 - 33750*z/13 + 843750/13 = 0 for z.
75
Let 2*a**3 + 740*a**2 - 1486*a + 744 = 0. Calculate a.
-372, 1
Suppose -2*o**4/17 + 80*o**3/17 - 1164*o**2/17 + 7280*o/17 - 16562/17 = 0. Calculate o.
7, 13
Factor -292*n**3 - 7012*n**2 - 42144*n - 576.
-4*(n + 12)**2*(73*n + 1)
What is g in g**4/7 - 15*g**3/7 - 3*g**2 + 583*g/7 + 1452/7 = 0?
-4, -3, 11
Suppose 28*b**3 - 174*b**2 + 36*b = 0. Calculate b.
0, 3/14, 6
Factor l**4 + 31*l**3 + 222*l**2 - 320*l - 512.
(l - 2)*(l + 1)*(l + 16)**2
Find u such that -10*u**5 - 365*u**4/3 - 230*u**3 - 135*u**2 - 50*u/3 = 0.
-10, -1, -1/6, 0
Determine b, given that -2*b**4/11 - 4*b**3/11 + 8*b**2/11 + 16*b/11 = 0.
-2, 0, 2
Factor -5*w**3 + 5*w**2 + 10*w.
-5*w*(w - 2)*(w + 1)
Factor 676*s**4 - 1976*s**3 - 1884*s**2 + 4864*s + 4096.
4*(s + 1)**2*(13*s - 32)**2
Determine m, given that -480*m**5 - 45968*m**4 + 57154*m**3 - 26136*m**2 + 5234*m - 388 = 0.
-97, 1/4, 1/3, 2/5
Factor -2*t**2 - 52*t + 174.
-2*(t - 3)*(t + 29)
Factor 2*c**2 - 10104*c + 12761352.
2*(c - 2526)**2
Suppose 19*u**2/2 - 17*u/2 - 1 = 0. Calculate u.
-2/19, 1
Factor -2*k**3/9 + 46*k**2/9 - 286*k/9 + 242/9.
-2*(k - 11)**2*(k - 1)/9
Let -2*h**3/21 - 82*h**2/21 - 122*h/3 - 126 = 0. What is h?
-27, -7
Suppose z**4/2 - 757*z**3/2 - 1519*z**2/2 + 757*z/2 + 759 = 0. Calculate z.
-2, -1, 1, 759
Factor -3*n**2 - 57*n + 126.
-3*(n - 2)*(n + 21)
Suppose 3*i**4 - 72*i**3 - 78*i**2 + 72*i + 75 = 0. What is i?
-1, 1, 25
Factor 4*u**4/9 + 4*u**3 + 40*u**2/3 + 176*u/9 + 32/3.
4*(u + 2)**3*(u + 3)/9
Factor -l**2/3 + 1483*l/3 + 990.
-(l - 1485)*(l + 2)/3
Find w such that 2*w**4 + 266*w**3/3 + 334*w**2/3 - 434*w/3 - 172/3 = 0.
-43, -2, -1/3, 1
Determine q so that -2*q**5 - 12*q**4 - 8*q**3 + 12*q**2 + 10*q = 0.
-5, -1, 0, 1
Suppose y**5/3 - 5*y**4 + 9*y**3 - 13*y**2/3 = 0. Calculate y.
0, 1, 13
Factor 4*d**3 + 40*d**2 + 28*d - 72.
4*(d - 1)*(d + 2)*(d + 9)
Factor 4*j**2/5 + 3212*j/5 - 3216/5.
4*(j - 1)*(j + 804)/5
Factor 2*f**3/5 - 216*f**2/5 - 662*f/5 - 444/5.
2*(f - 111)*(f + 1)*(f + 2)/5
Let 4*z**2 - 528*z = 0. What is z?
0, 132
Factor 3*m**4 - 21*m**3 - 12*m**2 + 84*m.
3*m*(m - 7)*(m - 2)*(m + 2)
Suppose 4*c**3 - 40*c**2 - 68*c + 264 = 0. Calculate c.
-3, 2, 11
Solve 2*t**2/5 + 194*t/5 + 832 = 0.
-65, -32
Factor 2*y**4/3 + 2*y**3/3 - 16*y**2 + 24*y.
2*y*(y - 3)*(y - 2)*(y + 6)/3
Let 2*a**4/7 + 610*a**3/7 + 61812*a**2/7 + 2059992*a/7 - 2122416/7 = 0. What is a?
-102, 1
Determine j, given that j**2 - 2*j - 8 = 0.
-2, 4
Factor -4*o**3 + 2532*o**2 - 404460*o + 1190700.
-4*(o - 315)**2*(o - 3)
Find y such that 3*y**4 + 105*y**3 + 963*y**2 + 663*y - 1734 = 0.
-17, -2, 1
Solve -16*n**4/3 + 52*n**3 - 72*n**2 - 64*n/3 = 0.
-1/4, 0, 2, 8
Find b, given that 2*b**4/19 + 40*b**3/19 - 294*b**2/19 + 468*b/19 = 0.
-26, 0, 3
Solve -i**5 - 10*i**4 - 36*i**3 - 58*i**2 - 43*i - 12 = 0 for i.
-4, -3, -1
Factor -4*f**3 - 5220*f**2 - 1700412*f + 1705636.
-4*(f - 1)*(f + 653)**2
Factor -2*k**2/7 + 22*k/7 + 204/7.
-2*(k - 17)*(k + 6)/7
Solve -3*u**5 - 111*u**4 - 477*u**3 + 111*u**2 + 480*u = 0.
-32, -5, -1, 0, 1
Solve 4*s**2 + 320*s + 316 = 0.
-79, -1
Factor 15*f**4 + 35*f**3 - 90*f**2 + 40*f.
5*f*(f - 1)*(f + 4)*(3*f - 2)
Factor 2*m**2 - 240*m + 7200.
2*(m - 60)**2
Factor -2*r**3/3 + 946*r**2/3 + 1898*r/3 + 950/3.
-2*(r - 475)*(r + 1)**2/3
Let -c**4/5 + 10*c**3 - 713*c**2/5 + 2116*c/5 = 0. Calculate c.
0, 4, 23
Solve 64*v**5 - 352*v**4 - 1244*v**3 + 4268*v**2 - 1880*v + 224 = 0 for v.
-4, 1/4, 2, 7
Solve 42*g**4 + 130*g**3 + 96*g**2 + 8*g = 0.
-2, -1, -2/21, 0
Factor 2*d**4/5 - 4*d**3 - 2*d**2/5 + 4*d.
2*d*(d - 10)*(d - 1)*(d + 1)/5
Determine c, given that -5*c**4 - 5*c**3 = 0.
-1, 0
Determine s so that -2*s**3 + 34*s**2 - 62*s + 30 = 0.
1, 15
Let -3*x**3/5 - 18*x**2/5 + 9*x - 24/5 = 0. What is x?
-8, 1
Factor 2*a**2/7 - 80*a.
2*a*(a - 280)/7
Factor -2*g**2/11 + 136*g/11 - 2240/11.
-2*(g - 40)*(g - 28)/11
Let -t**2/3 + 33*t - 470/3 = 0. Calculate t.
5, 94
Find c such that c**3/6 + 4*c**2/3 + 11*c/6 - 10/3 = 0.
-5, -4, 1
Determine y so that 2*y**3/9 - 82*y**2/9 - 352*y/9 - 40 = 0.
-2, 45
Find y such that y**2/4 + 61*y/4 + 15 = 0.
-60, -1
Factor -2*o**2/17 + 12*o/17 - 18/17.
-2*(o - 3)**2/17
Solve 2*f**3/7 - 4*f**2/7 - 8*f/7 + 16/7 = 0.
-2, 2
Find c such that 4*c**5 - 48*c**4 + 76*c**3 + 48*c**2 - 80*c = 0.
-1, 0, 1, 2, 10
Solve -2*q**3/13 + 808*q**2/13 - 1610*q/13 + 804/13 = 0 for q.
1, 402
Factor -5*j**4 + 23*j**3 - 10*j**2 - 8*j.
-j*(j - 4)*(j - 1)*(5*j + 2)
Factor -3*z**3 + 6*z**2 + 219*z + 210.
-3*(z - 10)*(z + 1)*(z + 7)
Determine h so that -h**4/4 - 267*h**3/4 - 261*h**2/4 + 1327*h/4 - 399/2 = 0.
-266, -3, 1
Factor -d**2/4 - 27*d/4 + 40.
-(d - 5)*(d + 32)/4
Factor 2*a**3/15 - 8*a**2/5 - 168*a/5 + 6272/15.
2*(a - 14)**2*(a + 16)/15
Factor 12*m**2 + 80*m - 92.
4*(m - 1)*(3*m + 23)
Factor -l**3/6 + 19*l**2/6 + 13*l/6 - 1183/6.
-(l - 13)**2*(l + 7)/6
Solve 875*b**5 + 950*b**4 - 535*b**3 - 910*b**2 - 340*b - 40 = 0 for b.
-1, -2/5, -2/7, 1
Suppose 3*i**5/7 + 9*i**4 + 513*i**3/7 + 2025*i**2/7 + 3888*i/7 + 2916/7 = 0. What is i?
-6, -3
Factor 3*p**4 - 801*p**3 + 53058*p**2 + 55476*p - 107736.
3*(p - 134)**2*(p - 1)*(p + 2)
What is d in -2*