22)/4
Factor -2*a**3 + 20*a**2 - 56*a + 48.
-2*(a - 6)*(a - 2)**2
Find i, given that 7*i**5/2 + i**4 = 0.
-2/7, 0
Factor -c**2 - 12*c - 36.
-(c + 6)**2
Factor -j**4 + 4*j**3 + 3*j**2 - 18*j.
-j*(j - 3)**2*(j + 2)
Find a such that -3*a**3/2 + 123*a**2/2 - 174*a + 114 = 0.
1, 2, 38
Factor w**5 - 2*w**4 - 2*w**3 + 4*w**2 + w - 2.
(w - 2)*(w - 1)**2*(w + 1)**2
Let -27*d**2/4 + 228*d + 51 = 0. What is d?
-2/9, 34
Solve 2*q**3/23 - 28*q**2/23 - 40*q/23 + 1200/23 = 0.
-6, 10
Let 3*t**2/7 + 312*t/7 - 1635/7 = 0. Calculate t.
-109, 5
Factor 2*f**2/11 - 516*f/11 + 1024/11.
2*(f - 256)*(f - 2)/11
Factor 4*q**2/3 - 3056*q + 1751088.
4*(q - 1146)**2/3
Let -2*k**3 - 26*k**2 + 240*k + 3168 = 0. What is k?
-12, 11
Let -x**4/4 - 5*x**3/4 + 2*x**2 + 12*x = 0. What is x?
-4, 0, 3
Suppose 2*w**3/7 + 74*w**2/7 + 720*w/7 + 648/7 = 0. What is w?
-18, -1
Let 3*y**3 - 504*y**2 + 28224*y - 526848 = 0. Calculate y.
56
Factor 2*s**3 + 178*s**2/7 + 368*s/7 - 120/7.
2*(s + 3)*(s + 10)*(7*s - 2)/7
Let 210*u**5 - 58*u**4 - 214*u**3 + 58*u**2 + 4*u = 0. What is u?
-1, -2/35, 0, 1/3, 1
Let 4*a**5 - 3*a**4 - 38*a**3 - 51*a**2 - 20*a = 0. What is a?
-5/4, -1, 0, 4
Factor -10*l**2/3 + 12*l + 16/3.
-2*(l - 4)*(5*l + 2)/3
Factor a**2/4 - 15*a/4 + 9.
(a - 12)*(a - 3)/4
Suppose 2*v**4 - 20*v**3 + 64*v**2 - 64*v = 0. What is v?
0, 2, 4
Suppose -2075*m**2 + 1530*m - 280 = 0. What is m?
28/83, 2/5
Determine a so that 2*a**4/15 + 28*a**3/15 + 8*a**2/5 - 28*a/15 - 26/15 = 0.
-13, -1, 1
Solve -5*z**5/2 + 2839*z**4/4 - 1341*z**3 + 1687*z**2/4 + 353*z - 141 = 0.
-1/2, 2/5, 1, 282
Find w, given that -4*w**5 - 32*w**4 - 20*w**3 + 56*w**2 = 0.
-7, -2, 0, 1
Solve -b**2 + 1534*b - 588289 = 0.
767
Factor -2*v**4 + 1384*v**3 - 240810*v**2 + 476100*v.
-2*v*(v - 345)**2*(v - 2)
Suppose 12*w**5 + 28*w**4 - 148*w**3 + 68*w**2 + 40*w = 0. Calculate w.
-5, -1/3, 0, 1, 2
Factor -2*i**2/9 + 9832*i/9 - 12083528/9.
-2*(i - 2458)**2/9
Factor -4*y**4 - 4*y**3 + 16*y**2 + 16*y.
-4*y*(y - 2)*(y + 1)*(y + 2)
Factor q**3 - 17*q**2 + 10*q + 96.
(q - 16)*(q - 3)*(q + 2)
Determine n, given that 18*n**4 + 68*n**3 + 38*n**2 - 12*n = 0.
-3, -1, 0, 2/9
Determine u so that -u**2/4 + 44*u + 177/4 = 0.
-1, 177
Factor -2*d**3/7 + 288*d**2/7 + 878*d/7 + 84.
-2*(d - 147)*(d + 1)*(d + 2)/7
Suppose 4*b**5/3 + 20*b**4 + 184*b**3/3 - 128*b**2 - 512*b/3 = 0. Calculate b.
-8, -1, 0, 2
Factor -2*d**3 + 130*d**2 - 2646*d + 16038.
-2*(d - 27)**2*(d - 11)
Factor -2*r**2 + 10*r.
-2*r*(r - 5)
Factor -9*t**4 + 47*t**3 - 64*t**2 + 12*t.
-t*(t - 3)*(t - 2)*(9*t - 2)
Solve -14*p**3 + 69*p**2/2 + 43*p/2 + 3 = 0 for p.
-2/7, -1/4, 3
Determine q so that 4*q**4/3 + 154*q**3 + 228*q**2 - 2*q/3 - 76 = 0.
-114, -1, 1/2
Suppose -n**4 + 84*n**3 - 1846*n**2 + 3444*n - 1681 = 0. Calculate n.
1, 41
Factor -4*h**4 + 88*h**3 - 724*h**2 + 2640*h - 3600.
-4*(h - 6)**2*(h - 5)**2
Find z, given that -z**4/6 - z**3/2 + 4*z**2/3 + 2*z - 8/3 = 0.
-4, -2, 1, 2
Factor y**4/5 + 9*y**3/5 + 4*y**2.
y**2*(y + 4)*(y + 5)/5
Factor 5*z**3 - 30*z**2 + 60*z - 40.
5*(z - 2)**3
Factor 16*w**4 - 100*w**3 + 104*w**2 - 20*w.
4*w*(w - 5)*(w - 1)*(4*w - 1)
Factor 5*o**4 - 40*o**3 + 100*o**2 - 80*o.
5*o*(o - 4)*(o - 2)**2
Solve 12*y**5 + 33*y**4 + 3*y**3 - 39*y**2 - 15*y + 6 = 0 for y.
-2, -1, 1/4, 1
Find u such that 2*u**5/7 + 6*u**4 + 328*u**3/7 + 1152*u**2/7 + 1728*u/7 + 864/7 = 0.
-6, -2, -1
Determine k so that -k**5 + 9*k**4 + 17*k**3 - 69*k**2 - 16*k + 60 = 0.
-3, -1, 1, 2, 10
Find d, given that -8*d**2/3 - 206*d/3 + 52/3 = 0.
-26, 1/4
Suppose r**3 - 432*r**2 + 47508*r - 183184 = 0. Calculate r.
4, 214
Factor 5*h**3 + 355*h**2 + 6475*h + 6125.
5*(h + 1)*(h + 35)**2
Let -2*z**3/9 - 44*z**2/9 - 206*z/9 + 28 = 0. What is z?
-14, -9, 1
Suppose l**4 + 39*l**3 + 518*l**2 + 2496*l + 2016 = 0. Calculate l.
-14, -12, -1
Let y**2/4 + 69*y/4 + 99/2 = 0. What is y?
-66, -3
Factor -3*x**3/2 + 39*x**2/2 - 51*x - 72.
-3*(x - 8)*(x - 6)*(x + 1)/2
Find j such that 243*j**5/5 + 621*j**4/5 - 1284*j**3/5 + 468*j**2/5 - 48*j/5 = 0.
-4, 0, 2/9, 1
Factor -4*h**3 - 88*h**2 - 640*h - 1536.
-4*(h + 6)*(h + 8)**2
Factor -2*x**2/7 - 8*x - 104/7.
-2*(x + 2)*(x + 26)/7
Find j, given that 2*j**2 - 4286*j + 4284 = 0.
1, 2142
Determine l so that 4*l**5/7 - 144*l**4/7 - 1972*l**3/7 - 4528*l**2/7 + 624*l/7 + 6016/7 = 0.
-8, -2, 1, 47
Factor -f**3 - 92*f**2 - 2021*f + 4418.
-(f - 2)*(f + 47)**2
Factor -5*r**3/3 - 25*r**2/3 - 5*r + 15.
-5*(r - 1)*(r + 3)**2/3
Solve 2*j**3 - 20*j**2 - 104*j - 112 = 0.
-2, 14
Factor i**2/4 - 9*i/4 - 5/2.
(i - 10)*(i + 1)/4
Factor 2*u**4/5 - 16*u**3/5 + 32*u**2/5.
2*u**2*(u - 4)**2/5
Factor -4*o**3/3 + 376*o**2/3 + 1552*o/3 + 1568/3.
-4*(o - 98)*(o + 2)**2/3
Solve -2*x**2/19 - 134*x/19 - 132/19 = 0 for x.
-66, -1
Solve 5*f**2/3 + 130*f/3 + 280 = 0 for f.
-14, -12
Determine z so that 4*z**3/7 - 232*z**2/7 + 3364*z/7 = 0.
0, 29
Find l such that 4*l**5/7 - 24*l**4/7 + 36*l**3/7 + 16*l**2/7 - 48*l/7 = 0.
-1, 0, 2, 3
Let -2*o**4/5 - 16*o**3 = 0. What is o?
-40, 0
Factor -3*i**3/4 + 9*i/4 - 3/2.
-3*(i - 1)**2*(i + 2)/4
Factor -2*s**2 + 824*s - 2454.
-2*(s - 409)*(s - 3)
Factor 3*g**3/2 - 5*g**2/2 - 11*g/2 - 3/2.
(g - 3)*(g + 1)*(3*g + 1)/2
What is h in -2*h**3/11 + 12*h**2/11 - 24*h/11 + 16/11 = 0?
2
Factor 4*i**3 - 21*i**2 + 32*i - 15.
(i - 3)*(i - 1)*(4*i - 5)
Solve 2*f**2 + 54*f = 0 for f.
-27, 0
Find d such that -6*d**3/5 + 74*d**2/5 + 144*d/5 - 56/5 = 0.
-2, 1/3, 14
Find d such that -3*d**3 + 42*d**2 - 180*d + 216 = 0.
2, 6
Find s, given that 3*s**5 + 72*s**4 + 402*s**3 + 792*s**2 + 459*s = 0.
-17, -3, -1, 0
Factor -2*c**3/7 - 8*c**2/7 + 178*c/7 - 24.
-2*(c - 7)*(c - 1)*(c + 12)/7
Factor n**4/6 - 5*n**3/6 - n**2/6 + 5*n/6.
n*(n - 5)*(n - 1)*(n + 1)/6
Find u, given that -2*u**4/3 - 36*u**3 - 1066*u**2/3 + 3880*u + 4200 = 0.
-30, -1, 7
Factor -d**4/8 + 2*d**3 - 13*d**2/8 - 15*d/4.
-d*(d - 15)*(d - 2)*(d + 1)/8
Factor 4*u**2 + 108*u + 200.
4*(u + 2)*(u + 25)
Determine p, given that 3*p**4 + 1815*p**3 - 3639*p**2 + 1821*p = 0.
-607, 0, 1
Solve n**3/2 - 2*n**2 - 35*n/2 + 75 = 0.
-6, 5
Factor -3*k**3/5 + 69*k**2/5 - 129*k/5 + 63/5.
-3*(k - 21)*(k - 1)**2/5
Find w, given that 4*w**5 + 12*w**4 - 12*w**3 - 28*w**2 + 24*w = 0.
-3, -2, 0, 1
Let -y**5/3 - 8*y**4/3 - 6*y**3 - 4*y**2/3 + 19*y/3 + 4 = 0. What is y?
-4, -3, -1, 1
Factor 2*b**5/5 + 94*b**4/5 + 1638*b**3/5 + 12506*b**2/5 + 35152*b/5.
2*b*(b + 8)*(b + 13)**3/5
Factor -3*z**3 - 48*z**2 - 204*z - 240.
-3*(z + 2)*(z + 4)*(z + 10)
Factor -p**2/5 - 104*p/5 - 2704/5.
-(p + 52)**2/5
Let c**3/4 - 47*c**2/4 + 167*c/4 + 215/4 = 0. What is c?
-1, 5, 43
Suppose -z**2/4 - 5*z/4 = 0. What is z?
-5, 0
Factor -n**2 + 3*n + 4.
-(n - 4)*(n + 1)
Find o, given that 2*o**3 + 2*o**2 - 738*o + 2142 = 0.
-21, 3, 17
Solve 226*s**2/3 - 300*s - 16/3 = 0 for s.
-2/113, 4
Solve 51*d**2 - 1167*d - 138 = 0 for d.
-2/17, 23
Suppose 51*h**4/7 - 176*h**3/7 + 173*h**2/7 - 52*h/7 + 4/7 = 0. Calculate h.
2/17, 1/3, 1, 2
Find x such that -2*x**5 - 38*x**4 + 2*x**3 + 38*x**2 = 0.
-19, -1, 0, 1
Factor 15*r**3/2 - 111*r**2/2 + 111*r - 36.
3*(r - 4)*(r - 3)*(5*r - 2)/2
Factor -h**3/7 + 2*h**2/7 + 19*h/7 - 20/7.
-(h - 5)*(h - 1)*(h + 4)/7
Find q such that -3*q**3 + 12*q**2 + 15*q = 0.
-1, 0, 5
Factor 4*j**3 - 212*j**2 - 216*j.
4*j*(j - 54)*(j + 1)
Factor 21*k**3 + 54*k**2 + 24*k.
3*k*(k + 2)*(7*k + 4)
Solve -2*z**2/3 - 12*z + 80/3 = 0.
-20, 2
Find i such that i**3/6 - 165*i**2/2 - i/6 + 165/2 = 0.
-1, 1, 495
What is b in b**5/6 - b**4/3 - b**3/3 + 4*b**2/3 - 7*b/6 + 1/3 = 0?
-2, 1
Factor 2*a**3/7 + 136*a**2/7 + 2442*a/7 + 4356/7.
2*(a + 2)*(a + 33)**2/7
Factor 3*a**3 - 7200*a**2 - 14409*a - 7206.
3*(a - 2402)*(a + 1)**2
Solve 10609*w**3/3 - 11021*w**2/3 + 416*w/3 - 4/3 = 0 for w.
2/103, 1
Find g such that g**5/8 + 5*g**4/4 - 9*g**3/4 - 45*g**2/2 + 81*g/8 + 405/4 = 0.
-10, -3, 3
Suppose -k**4/2 + 43*k**3/2 + 22*k**2 = 0. Calculate k.
-1, 0, 44
Solve 2*k**2/11 - 76*k/11 - 1456/11 = 0.
-14, 52
Factor t**4/7 - 11*t**3/7 + 39*t**2/7 - 7*t + 20/7.
(t - 5)*(t - 4)*(t - 1)**2/7
Factor 3*f**2/5 - 453*f/5 + 90.
3*(f - 150)*(f - 1)/5
Factor -15*b**4 + 25*b**3 + 30*b**2 - 40*b.
-5*b*(b - 2)*(b - 1)*(3*b + 4)
Factor 4*u**5 + 68*u**4 + 64*u**3.
4*u**3*(u + 1)*(u + 16)
Let -g**3/6 - 47*g**2/6 - 88*g/3 - 86/3 = 0. Calculate g.
-43, -2
Determine j so that 2*j**5 + 12*j**4 + 12*j**3 - 32*j