 = 0 for u.
-2, -2/1441
Factor 3*j**2/4 + 30*j + 57.
3*(j + 2)*(j + 38)/4
Suppose 2*m**5/19 - 168*m**4/19 - 4*m**3/19 + 336*m**2/19 + 2*m/19 - 168/19 = 0. What is m?
-1, 1, 84
Factor 3*p**4 + 3*p**3 - 81*p**2 - 243*p - 162.
3*(p - 6)*(p + 1)*(p + 3)**2
Let -i**3/5 + 123*i**2/5 - 5043*i/5 + 68921/5 = 0. Calculate i.
41
Suppose 20*a**4 + 272*a**3 + 148*a**2 - 104*a = 0. What is a?
-13, -1, 0, 2/5
Determine p so that p**4/3 - 11*p**3/3 - 56*p**2/3 - 20*p = 0.
-2, 0, 15
Factor 3*h**3 + 16*h**2 + 16*h.
h*(h + 4)*(3*h + 4)
Solve 27*r**5 - 738*r**4 + 5511*r**3 - 6396*r**2 + 2028*r = 0 for r.
0, 2/3, 13
Factor -10*s**3 + 45*s**2 - 20*s.
-5*s*(s - 4)*(2*s - 1)
Factor -2*v**2/7 + 90*v/7 - 88/7.
-2*(v - 44)*(v - 1)/7
Let -81*s**4/8 + 261*s**3/4 - 217*s**2/2 + 39*s - 4 = 0. What is s?
2/9, 2, 4
Let 4*a**5/3 - 4*a**4/3 - 92*a**3/3 - 52*a**2 - 24*a = 0. What is a?
-3, -1, 0, 6
Factor j**3/4 - 145*j**2/4.
j**2*(j - 145)/4
Find p, given that 3*p**2 - 165*p - 168 = 0.
-1, 56
Factor 2*k**3 + 12*k**2 + 10*k.
2*k*(k + 1)*(k + 5)
Factor -3*c**5/2 - 165*c**4/2.
-3*c**4*(c + 55)/2
Find j such that 3*j**5 + 54*j**4 + 243*j**3 = 0.
-9, 0
Solve 4*j**4/5 + 52*j**3/5 + 164*j**2/5 + 188*j/5 + 72/5 = 0.
-9, -2, -1
Solve -2*y**2/5 + 4144*y/5 + 4146/5 = 0 for y.
-1, 2073
Suppose -4*g**3/5 - 464*g**2/5 - 2676*g/5 - 792 = 0. What is g?
-110, -3
Find u, given that -19*u**2/3 - 8*u - 5/3 = 0.
-1, -5/19
Let g**4/2 + 4*g**3 + 15*g**2/2 - 2*g - 10 = 0. Calculate g.
-5, -2, 1
Determine a so that -5*a**4 + 100*a**3 - 690*a**2 + 1820*a - 1225 = 0.
1, 5, 7
Factor -25*g**4 + 3705*g**3 - 4422*g**2 + 8828*g/5 - 1176/5.
-(g - 147)*(5*g - 2)**3/5
Factor -g**2/10 + 13*g/10 - 11/5.
-(g - 11)*(g - 2)/10
Find t such that -3*t**4 + 1893*t**3 + 3801*t**2 - 1893*t - 3798 = 0.
-2, -1, 1, 633
Suppose 3*j**5 + 3*j**4 - 3*j**3 - 3*j**2 = 0. What is j?
-1, 0, 1
What is d in -64*d**5/3 - 16*d**4/3 + 60*d**3 + 63*d**2 + 18*d = 0?
-3/4, 0, 2
What is u in 112500*u**2 + 1500*u + 5 = 0?
-1/150
Factor 2*u**2 + 74*u - 76.
2*(u - 1)*(u + 38)
Factor 2*p**4 + 490*p**3 + 4302*p**2 + 12798*p + 12744.
2*(p + 3)**3*(p + 236)
Factor 9*h**4/8 + h**3 - 27*h**2/8 - 21*h/4 - 2.
(h - 2)*(h + 1)**2*(9*h + 8)/8
Determine z so that -27*z**4 - 1464*z**3 - 5724*z**2 - 1200*z = 0.
-50, -4, -2/9, 0
Suppose -4*x**3 + 24*x**2 + 4*x - 24 = 0. What is x?
-1, 1, 6
Factor 35*p**3 + 130*p**2 + 75*p.
5*p*(p + 3)*(7*p + 5)
Solve 16*p**3 - 48*p**2 - p + 3 = 0 for p.
-1/4, 1/4, 3
What is z in -12*z**5 - 32*z**4 + 272*z**3 + 192*z**2 = 0?
-6, -2/3, 0, 4
Factor 2*h**2 - 664*h/5 + 264/5.
2*(h - 66)*(5*h - 2)/5
Find m such that -5*m**5/4 - 125*m**4/4 - 260*m**3 - 830*m**2 - 1100*m - 500 = 0.
-10, -2, -1
Factor -3*h**3/4 + 393*h**2/2 - 1563*h/4 + 195.
-3*(h - 260)*(h - 1)**2/4
Factor -20*r**4 - 75*r**3 + 260*r**2 - 60*r.
-5*r*(r - 2)*(r + 6)*(4*r - 1)
Find p, given that -5*p**4 + 420*p**3 + 1980*p**2 - 453600*p - 5832000 = 0.
-18, 60
Factor -4*u**2/3 - 140*u/3 - 136/3.
-4*(u + 1)*(u + 34)/3
Factor 2*x**5 + 2*x**4 - 172*x**3 - 380*x**2 + 3850*x + 12250.
2*(x - 7)**2*(x + 5)**3
Factor 12*a**2 - 2*a.
2*a*(6*a - 1)
Factor 4*l**4 + 48*l**3 + 140*l**2 - 48*l - 144.
4*(l - 1)*(l + 1)*(l + 6)**2
Solve 2*b**3/7 - 1160*b**2/7 - 2328*b/7 = 0.
-2, 0, 582
Factor 2*v**3/15 + 32*v**2/15 - 154*v/15 + 8.
2*(v - 3)*(v - 1)*(v + 20)/15
Find f, given that f**3/7 - 108*f**2/7 + 540*f - 6048 = 0.
24, 42
Factor 2*n**2 - 1108*n + 153458.
2*(n - 277)**2
Factor -i**4/4 + 133*i**3/4 - 98*i**2 + 65*i.
-i*(i - 130)*(i - 2)*(i - 1)/4
Let w**5/5 + 311*w**4/5 + 1232*w**3/5 + 1228*w**2/5 = 0. Calculate w.
-307, -2, 0
Solve 4*l**4/7 + 372*l**3/7 - 4*l**2/7 - 372*l/7 = 0 for l.
-93, -1, 0, 1
Factor -2*v**3/11 + 24*v**2/11 - 72*v/11.
-2*v*(v - 6)**2/11
Factor 8*h**4 + 52*h**3 + 64*h**2 + 20*h.
4*h*(h + 1)*(h + 5)*(2*h + 1)
Determine r so that 4*r**5 - 16*r**4/3 - 16*r**3/3 = 0.
-2/3, 0, 2
Factor -b**4/2 + 140*b**3 - 9939*b**2 + 19460*b - 19321/2.
-(b - 139)**2*(b - 1)**2/2
Solve z**5/5 + 11*z**4/5 + 31*z**3/5 + 21*z**2/5 = 0.
-7, -3, -1, 0
Factor 4*a**5 - 36*a**4 + 28*a**3 + 36*a**2 - 32*a.
4*a*(a - 8)*(a - 1)**2*(a + 1)
Factor n**3 - 52*n**2.
n**2*(n - 52)
Suppose -2*m**2/9 - 76*m/9 - 160/3 = 0. What is m?
-30, -8
Factor -4*h**4 + 100*h**2.
-4*h**2*(h - 5)*(h + 5)
Determine h, given that 2*h**4/3 + 20*h**3/3 + 46*h**2/3 + 28*h/3 = 0.
-7, -2, -1, 0
Solve -v**4/6 + 2*v**3/3 - v**2/3 - 2*v/3 + 1/2 = 0 for v.
-1, 1, 3
Let -52*c**3 - 632*c**2 - 668*c - 88 = 0. Calculate c.
-11, -1, -2/13
Factor 14*u**3/5 + 108*u**2/5 - 42*u/5 - 16.
2*(u - 1)*(u + 8)*(7*u + 5)/5
Determine i so that -3*i**4/2 - 9*i**3/2 + 69*i**2/2 + 225*i/2 + 75 = 0.
-5, -2, -1, 5
Suppose -21*r**4 - 162*r**3 + 468*r**2 - 120*r = 0. What is r?
-10, 0, 2/7, 2
Suppose -15*n**3 - 170*n**2 - 515*n - 420 = 0. Calculate n.
-7, -3, -4/3
Solve 2*g**4/7 + 4*g**3/7 - 2*g**2/7 - 4*g/7 = 0.
-2, -1, 0, 1
Factor 2*g**2/3 + 34*g/3 + 32/3.
2*(g + 1)*(g + 16)/3
Suppose -6*k**5 - 2*k**4 + 30*k**3 + 10*k**2 - 24*k - 8 = 0. Calculate k.
-2, -1, -1/3, 1, 2
Factor 5*g**2 + 7230*g + 2613645.
5*(g + 723)**2
Find u such that u**5/2 - 2*u**4 + 8*u**2 - 8*u = 0.
-2, 0, 2
Factor -2*z**4/21 + 4*z**3/21.
-2*z**3*(z - 2)/21
Factor 5*r**4 + 20*r**3 + 20*r**2.
5*r**2*(r + 2)**2
Factor 4*y**4/7 + 52*y**3/7 - 116*y**2/7 + 60*y/7.
4*y*(y - 1)**2*(y + 15)/7
Factor 3*k**4/2 + 391*k**3 + 153661*k**2/6 + 50830*k/3 + 8450/3.
(k + 130)**2*(3*k + 1)**2/6
Solve n**3/4 + 939*n**2/4 + 222759*n/4 + 1090445/4 = 0 for n.
-467, -5
Solve 3*k**2 - 1047*k = 0 for k.
0, 349
Find x such that 2*x**2/11 + 60*x/11 + 58/11 = 0.
-29, -1
What is w in 2*w**4 - 1288*w**3 - 1290*w**2 = 0?
-1, 0, 645
Find j, given that 5*j**3 - 25*j**2 - 70*j = 0.
-2, 0, 7
Let 48*x**3/5 + x**2/5 - 192*x/5 - 4/5 = 0. What is x?
-2, -1/48, 2
Solve 2*v**5/9 + 596*v**4 + 3591194*v**3/9 - 799832*v**2 + 3601928*v/9 = 0 for v.
-1342, 0, 1
Factor -2*k**3/7 - 44*k**2/7 - 174*k/7 + 540/7.
-2*(k - 2)*(k + 9)*(k + 15)/7
Factor -2*t**3/5 - 108*t**2 - 35904*t/5 + 73984/5.
-2*(t - 2)*(t + 136)**2/5
Let 5*y**4 + 210*y**3 - 665*y**2 + 450*y = 0. Calculate y.
-45, 0, 1, 2
Determine x, given that x**3 - 225*x = 0.
-15, 0, 15
Determine l, given that l**4/7 - 3805*l**3/7 + 3617601*l**2/7 + 3629021*l/7 - 7242818/7 = 0.
-2, 1, 1903
Factor -4*z**2 - 500*z - 496.
-4*(z + 1)*(z + 124)
Factor 4*w**5 + 28*w**4 + 24*w**3 - 208*w**2 - 544*w - 384.
4*(w - 3)*(w + 2)**3*(w + 4)
Determine w, given that -122018*w**3/23 + 123994*w**2/23 - 1984*w/23 + 8/23 = 0.
2/247, 1
Solve z**2 + 14*z - 32 = 0 for z.
-16, 2
Find y such that 3*y**4 + 15*y**3 - 21*y**2 - 123*y - 90 = 0.
-5, -2, -1, 3
Factor 5*n**5 - 425*n**4 + 8815*n**3 + 9245*n**2.
5*n**2*(n - 43)**2*(n + 1)
Determine j so that -5*j**5/4 - 15*j**4 - 45*j**3/4 + 55*j**2/2 = 0.
-11, -2, 0, 1
Factor u**2/5 + 9*u + 486/5.
(u + 18)*(u + 27)/5
Determine z so that 63*z**4 + 606*z**3 + 1323*z**2 - 720*z - 300 = 0.
-5, -2/7, 2/3
Factor -3*l**2/5 + 534*l/5 - 23763/5.
-3*(l - 89)**2/5
Factor -3*j**3 - 72*j**2 + 153*j - 78.
-3*(j - 1)**2*(j + 26)
Factor -v**4/4 - 17*v**3/2 - 51*v**2 - 207*v/2 - 243/4.
-(v + 1)*(v + 3)**2*(v + 27)/4
Let -54*l**5 + 102*l**4 - 110*l**3/3 - 142*l**2/9 + 32*l/9 + 8/9 = 0. What is l?
-2/9, 1/3, 1
Factor 5*w**2 - 420*w - 860.
5*(w - 86)*(w + 2)
Factor y**4/5 - 97*y**3/5 + 372*y**2/5.
y**2*(y - 93)*(y - 4)/5
Determine k so that -2*k**2/7 - 52*k/7 - 50/7 = 0.
-25, -1
Factor -4*d**5 + 184*d**4 - 180*d**3.
-4*d**3*(d - 45)*(d - 1)
Suppose 2*b**2/17 = 0. Calculate b.
0
Factor n**2 - 271*n.
n*(n - 271)
Factor -5*m**2/4 + 20*m + 45.
-5*(m - 18)*(m + 2)/4
Suppose g**5 - 4*g**4 - 7*g**3 + 10*g**2 = 0. Calculate g.
-2, 0, 1, 5
Factor m**4/6 + 5*m**3/2 + 31*m**2/3 - 2*m - 60.
(m - 2)*(m + 5)*(m + 6)**2/6
Let -f**5/4 + 23*f**4/2 - 609*f**3/4 + 441*f**2 = 0. Calculate f.
0, 4, 21
What is c in -2*c**3 + 146*c**2 - 2400*c = 0?
0, 25, 48
Factor 3*s**2 - 93*s + 90.
3*(s - 30)*(s - 1)
Determine x, given that 4*x**5 + 100*x**4 - 8*x**3 - 200*x**2 + 4*x + 100 = 0.
-25, -1, 1
Suppose 3*p**2 + 16998*p + 24077667 = 0. Calculate p.
-2833
Factor 2*h**3/9 + 10*h**2/9 + 4*h/3.
2*h*(h + 2)*(h + 3)/9
Solve 2*k**2/9 - 10216*k/9 + 13045832/9 = 0.
2554
Factor 3*k**3/8 - 2661*k**2/8 - 3*k/8 + 2661/8.
3*(k - 887)*(k - 1)*(k + 1)/8
Let 8*q**5 + 104*q**4 + 250*q**3 + 76*q**2 - 258*q - 180 = 0. Calcu