3/7 - 148*a**2/7 - 52*a/7 + 16/7 = 0. Calculate a.
-1/2, 1/5, 4
Find r, given that -r**2 - 169*r = 0.
-169, 0
Factor -n**3 + 8*n**2 + 140*n - 1200.
-(n - 10)**2*(n + 12)
Determine v, given that v**2 + 9*v - 22 = 0.
-11, 2
Factor 1444*h**2/7 - 23712*h/7 + 97344/7.
4*(19*h - 156)**2/7
Determine g, given that -g**4/4 + 35*g**3/4 - 177*g**2/2 + 208*g - 128 = 0.
1, 2, 16
Determine c so that -c**2/4 + 330*c - 108900 = 0.
660
Factor s**2 - 15*s + 14.
(s - 14)*(s - 1)
Find g, given that 2*g**4/17 - 6*g**3/17 - 2*g**2/17 + 6*g/17 = 0.
-1, 0, 1, 3
Factor 2*d**2/13 - 670*d/13.
2*d*(d - 335)/13
Suppose 2*u**4/5 + 36*u**3/5 - 278*u**2/5 + 48*u = 0. What is u?
-24, 0, 1, 5
Factor 3*y**3 - 6*y**2 - 39*y - 30.
3*(y - 5)*(y + 1)*(y + 2)
Let -4*k**4 - 28*k**3 - 60*k**2 - 36*k = 0. Calculate k.
-3, -1, 0
Factor 39*k**4 + 138*k**3 - 267*k**2 + 90*k.
3*k*(k - 1)*(k + 5)*(13*k - 6)
What is b in 3*b**4 + 3*b**3 - 21*b**2 - 3*b + 18 = 0?
-3, -1, 1, 2
Find l such that 5*l**2/9 + 76*l/3 - 92/9 = 0.
-46, 2/5
Solve 8*g**4 - 27*g**3 + g**2 + 27*g - 9 = 0.
-1, 3/8, 1, 3
What is n in n**5/4 - 155*n**4/4 - 473*n**3/4 - 161*n**2/4 + 118*n + 79 = 0?
-2, -1, 1, 158
Factor 2*a**3/5 - 282*a**2 + 66270*a - 5191150.
2*(a - 235)**3/5
Factor j**4/8 + 13*j**3/8 + 15*j**2/2 + 29*j/2 + 10.
(j + 2)**2*(j + 4)*(j + 5)/8
Determine o, given that -2*o**5 + 4*o**4 + 2*o**3 - 4*o**2 = 0.
-1, 0, 1, 2
Factor 4*c**3 + 24*c**2 - 144*c + 160.
4*(c - 2)**2*(c + 10)
Factor -47*b**2/3 - 31*b/2 + 1/6.
-(b + 1)*(94*b - 1)/6
Find r, given that 2*r**5/5 + 8*r**4/5 - 8*r**3/5 - 68*r**2/5 - 18*r - 36/5 = 0.
-3, -2, -1, 3
Determine l, given that -765*l**4 - 1284*l**3 + 2992*l**2/5 + 1104*l/5 + 16 = 0.
-2, -2/15, 10/17
Factor -380*n**4 + 1512*n**3 - 1488*n**2 - 32*n.
-4*n*(n - 2)**2*(95*n + 2)
Factor -l**5/3 - 8*l**4/3 + 2*l**3 + 40*l**2/3 - 61*l/3 + 8.
-(l - 1)**3*(l + 3)*(l + 8)/3
Factor -2*q**2/3 - 238*q/3 - 920/3.
-2*(q + 4)*(q + 115)/3
Factor -2*u**5/3 + 4*u**4 - 26*u**3/3 + 8*u**2 - 8*u/3.
-2*u*(u - 2)**2*(u - 1)**2/3
Find x, given that -2*x**2/5 - 112*x/5 - 22 = 0.
-55, -1
Factor 4*w**3/5 - 92*w**2/5 + 89*w/5 - 22/5.
(w - 22)*(2*w - 1)**2/5
Let -a**3/5 + 26*a**2/5 - 91*a/5 - 294/5 = 0. What is a?
-2, 7, 21
Factor -4*k**4 - 88*k**3 - 484*k**2.
-4*k**2*(k + 11)**2
Determine v, given that v**4 - 348*v**3 + 30276*v**2 = 0.
0, 174
Factor 2*j**4/11 - 24*j**3/11 + 8*j**2 - 96*j/11.
2*j*(j - 6)*(j - 4)*(j - 2)/11
Suppose 5*s**4 + 5*s**3 - 125*s**2 - 185*s + 300 = 0. What is s?
-4, -3, 1, 5
Factor -t**2/5 - 1656*t/5 - 3308/5.
-(t + 2)*(t + 1654)/5
Factor -12*f**2/5 + 141*f/5 + 36/5.
-3*(f - 12)*(4*f + 1)/5
Suppose 5*a**5 - 55*a**4 + 190*a**3 - 200*a**2 = 0. Calculate a.
0, 2, 4, 5
What is u in 3*u**4 + 237*u**3 = 0?
-79, 0
Let -3*n**5/8 + 15*n**4/8 - 27*n**3/8 + 21*n**2/8 - 3*n/4 = 0. Calculate n.
0, 1, 2
Factor 50*t**3/3 + 10970*t**2/3 + 4382*t/3 + 146.
2*(t + 219)*(5*t + 1)**2/3
Factor -4*m**2 + 136*m - 372.
-4*(m - 31)*(m - 3)
Factor -5*d**3 + 105*d**2 + 110*d.
-5*d*(d - 22)*(d + 1)
Find h such that -4*h**2 + 156*h - 152 = 0.
1, 38
Factor -3*d**2 - 5130*d - 5127.
-3*(d + 1)*(d + 1709)
Factor -25*c**3 + 885*c**2 + 550*c - 360.
-5*(c - 36)*(c + 1)*(5*c - 2)
What is a in a**5/4 + a**4/4 - 9*a**3/4 + 11*a**2/4 - a = 0?
-4, 0, 1
Factor -3*b**2 + 22*b + 16.
-(b - 8)*(3*b + 2)
Find l such that 19*l**5/10 + 84*l**4/5 + 129*l**3/5 + 44*l**2/5 - 21*l/10 = 0.
-7, -1, 0, 3/19
Factor l**2 + 129*l - 130.
(l - 1)*(l + 130)
Factor p**5/6 + 17*p**4/2 + 135*p**3 + 486*p**2 - 2916*p.
p*(p - 3)*(p + 18)**3/6
Factor 5*j**2 - 25*j.
5*j*(j - 5)
Solve f**4 - 41*f**3 - 702*f**2 = 0.
-13, 0, 54
Determine t, given that -t**5/3 - 19*t**4/3 - 34*t**3 - 12*t**2 + 216*t = 0.
-9, -6, 0, 2
Find z, given that -2*z**2 - 8*z - 6 = 0.
-3, -1
Let 6*u**4/17 + 80*u**3/17 + 98*u**2/17 + 24*u/17 = 0. Calculate u.
-12, -1, -1/3, 0
Factor 2*l**3/3 - 5*l**2 + 7*l/3.
l*(l - 7)*(2*l - 1)/3
Determine v so that 9*v**5 + 312*v**4 + 2998*v**3 + 5096*v**2 + 2401*v = 0.
-49/3, -1, 0
Determine s so that -4*s**4 + 116*s**3 - 600*s**2 + 1136*s - 736 = 0.
2, 23
Let 2*r**4 + 46*r**3 - 150*r**2 + 154*r - 52 = 0. What is r?
-26, 1
Suppose -g**5/5 + g**4/5 + g**3/5 - g**2/5 = 0. Calculate g.
-1, 0, 1
Factor 100*u**3 - 40*u**2 + 4*u.
4*u*(5*u - 1)**2
Factor 2*n**3 + 120*n**2 + 550*n.
2*n*(n + 5)*(n + 55)
Factor 2*d**3/15 - 218*d**2 + 118810*d - 64751450/3.
2*(d - 545)**3/15
Find y, given that -y**4/2 - 7*y**3/2 - 7*y**2/2 + 15*y/2 = 0.
-5, -3, 0, 1
What is n in 3*n**5 - 15*n**4 + 9*n**3 + 51*n**2 - 84*n + 36 = 0?
-2, 1, 2, 3
Determine o so that 2*o**5/3 - 4*o**4/3 - 40*o**3/3 - 16*o**2 = 0.
-2, 0, 6
Solve x**4/4 - 197*x**3/4 + 6669*x**2/4 - 82303*x/4 + 173563/2 = 0.
13, 158
Factor 9*n**3/5 + 33*n**2/5 + 36*n/5 + 12/5.
3*(n + 1)*(n + 2)*(3*n + 2)/5
Factor 2*p**2 - 32*p + 120.
2*(p - 10)*(p - 6)
Factor 2*f**3/25 - 962*f**2/25 + 22246*f/5 + 43218.
2*(f - 245)**2*(f + 9)/25
Factor t**3/5 + 4*t**2/5 + t/5 - 6/5.
(t - 1)*(t + 2)*(t + 3)/5
Determine z so that 2*z**2/23 - 2862*z/23 + 2860/23 = 0.
1, 1430
Factor -g**3/5 + 3*g**2 + 117*g/5 + 189/5.
-(g - 21)*(g + 3)**2/5
Find o such that 3*o**5 + 69*o**4 + 114*o**3 - 258*o**2 - 117*o + 189 = 0.
-21, -3, -1, 1
Find a, given that 2*a**5/3 - 2*a**4/3 - 20*a**3 - 148*a**2/3 - 134*a/3 - 14 = 0.
-3, -1, 7
Determine v so that 30*v**5 - 55*v**4 + 20*v**3 + 5*v**2 = 0.
-1/6, 0, 1
Suppose -9*m**4/5 - 1236*m**3/5 - 39454*m**2/5 + 204764*m/5 - 247009/5 = 0. What is m?
-71, 7/3
Suppose c**4 - 11*c**3 + 13*c**2 + 51*c - 54 = 0. Calculate c.
-2, 1, 3, 9
Determine s, given that -5*s**4 + 25*s**3 - 45*s**2 + 35*s - 10 = 0.
1, 2
Factor -3*x**4/5 + 4128*x**3 - 7100160*x**2.
-3*x**2*(x - 3440)**2/5
What is s in 12*s**4 + 176*s**3 - 456*s**2 + 336*s - 68 = 0?
-17, 1/3, 1
Suppose 5*c**3 - 410*c**2 + 800*c = 0. What is c?
0, 2, 80
Factor -2*v**2/15 + 2*v/3.
-2*v*(v - 5)/15
Solve -2*q**4/5 + 56*q**3 - 826*q**2/5 + 548*q/5 = 0 for q.
0, 1, 2, 137
Factor -285*d**3 - 1115*d**2 - 1040*d + 100.
-5*(d + 2)**2*(57*d - 5)
Find y such that 4*y**2/5 - 88*y/5 + 484/5 = 0.
11
Let -2*i**5/11 - 38*i**4 - 2858*i**3/11 - 6086*i**2/11 - 5260*i/11 - 1616/11 = 0. What is i?
-202, -4, -1
Find v, given that -3*v**2 - 57*v - 210 = 0.
-14, -5
Solve 2*b**3/5 + 28*b**2/5 + 26*b/5 = 0.
-13, -1, 0
Factor -b**2 - 4*b + 12.
-(b - 2)*(b + 6)
What is b in 7*b**4/3 + 11*b**3 - 71*b**2 - 677*b/3 + 70 = 0?
-7, -3, 2/7, 5
Solve -4*a**5/11 - 334*a**4/11 - 7212*a**3/11 - 9758*a**2/11 + 6724*a/11 = 0.
-41, -2, 0, 1/2
Factor 3*b**4/4 - 7*b**3/2 + 17*b**2/4 - 3*b/2.
b*(b - 3)*(b - 1)*(3*b - 2)/4
Find z, given that -z**2/8 + 3515*z/4 - 12355225/8 = 0.
3515
Factor 4*m**4 + 21*m**3 - 95*m**2 - 525*m - 125.
(m - 5)*(m + 5)**2*(4*m + 1)
Factor -3*w**3 - 81*w**2 - 153*w - 75.
-3*(w + 1)**2*(w + 25)
Factor q**5/5 + 8*q**4/5 + 18*q**3/5 - 27*q/5.
q*(q - 1)*(q + 3)**3/5
Factor -36*g**4 - 120*g**3 - 148*g**2 - 80*g - 16.
-4*(g + 1)**2*(3*g + 2)**2
Solve -2*o**3 - 15*o**2/2 + 2*o = 0.
-4, 0, 1/4
Let 2*f**3/7 - 842*f/7 + 120 = 0. What is f?
-21, 1, 20
Find q such that -2*q**3/9 + 62*q**2/9 - 598*q/9 + 1690/9 = 0.
5, 13
Determine w so that 2*w**4 + 44*w**3 + 242*w**2 = 0.
-11, 0
Solve 3*u**5/7 + 81*u**4/7 - 363*u**3/7 + 279*u**2/7 = 0 for u.
-31, 0, 1, 3
Factor 2*d**4/7 - 4*d**3/7 - 8*d**2/7 + 4*d/7 + 6/7.
2*(d - 3)*(d - 1)*(d + 1)**2/7
Let j**4/3 - 2*j**3/3 - 40*j**2 + 850*j/3 - 1625/3 = 0. Calculate j.
-13, 5
What is j in 3*j**5 - 45*j**4 + 78*j**3 + 6*j**2 - 81*j + 39 = 0?
-1, 1, 13
Factor b**5/5 + 16*b**4/5 + 63*b**3/5 - 16*b**2/5 - 64*b/5.
b*(b - 1)*(b + 1)*(b + 8)**2/5
Factor 19*t**4/3 + 55*t**3/3 - 2*t**2.
t**2*(t + 3)*(19*t - 2)/3
Solve 4*p**4 + 12*p**3 - 12*p**2 - 44*p - 24 = 0 for p.
-3, -1, 2
Determine p so that -4*p**5 + 176*p**4 + 8*p**3 - 352*p**2 - 4*p + 176 = 0.
-1, 1, 44
Let 2*x**3/5 - 24*x**2/5 + 18*x - 20 = 0. What is x?
2, 5
Let 4*s**3 - 112*s**2 - 4*s + 112 = 0. Calculate s.
-1, 1, 28
Factor -3*l**3/5 + 18*l**2/5 - 24*l/5.
-3*l*(l - 4)*(l - 2)/5
Find k such that -3*k**3 - 27*k**2 + 66*k + 720 = 0.
-8, -6, 5
Suppose -8*y**5 + 78*y**4 - 172*y**3 + 128*y**2 - 12*y - 14 = 0. What is y?
-1/4, 1, 7
Factor 4*i**4/5 + 12*i**3/5 - 16*i/5.
4*i*(i - 1)*(i + 2)**2/5
Factor 2*m**3 - 16*m**2 + 42*m - 36.
2*(m - 3)**2*(m - 2)
Factor -2*k**3/5 - 2*k**2/5 + 8*k/5 + 8/5.
-2*(k - 2)*(k + 1)*(k + 2