*(j - 1)*(j + 1)
Factor 4*d**3 - 208*d**2 + 2484*d + 5832.
4*(d - 27)**2*(d + 2)
Determine r, given that 2*r**4/9 + 26*r**3/3 + 140*r**2/3 + 808*r/9 + 176/3 = 0.
-33, -2
What is x in 5*x**4/3 + 14*x**3 + 7*x**2 - 208*x/3 - 28 = 0?
-7, -3, -2/5, 2
Let i**2/5 - 146*i/5 + 29 = 0. What is i?
1, 145
What is v in -64*v**4 - 3872*v**3 - 9348*v**2 - 3952*v - 464 = 0?
-58, -2, -1/4
Suppose -20*u**4 - 1016*u**3 - 16704*u**2 - 113152*u - 274432 = 0. Calculate u.
-134/5, -8
Factor -2*k**2/7 + 34*k/7 + 24.
-2*(k - 21)*(k + 4)/7
Factor 11*j**3/8 - 1175*j**2/8 + 119*j + 53/2.
(j - 106)*(j - 1)*(11*j + 2)/8
Find z such that 4*z**5/9 + 34*z**4/9 + 70*z**3/9 - 44*z**2/9 - 128*z/9 + 64/9 = 0.
-4, -2, 1/2, 1
Factor 3*p**2 - 2193*p + 2190.
3*(p - 730)*(p - 1)
Determine u so that 2*u**5 - 8*u**3 + 4*u**2 + 6*u - 4 = 0.
-2, -1, 1
Find d such that -5*d**5 - 35*d**4 - 75*d**3 - 65*d**2 - 20*d = 0.
-4, -1, 0
Suppose 3*d**5/5 - 8*d**4/5 - 6*d**3 - 24*d**2/5 - d = 0. What is d?
-1, -1/3, 0, 5
Factor -4*d**5 + 60*d**4 - 284*d**3 + 532*d**2 - 432*d + 128.
-4*(d - 8)*(d - 4)*(d - 1)**3
Solve -5*u**4 + 135*u**3 - 945*u**2 + 2565*u - 2430 = 0 for u.
3, 18
Factor 2*r**2/19 - 84*r/19 + 490/19.
2*(r - 35)*(r - 7)/19
What is m in -2*m**4/5 + 136*m**3/5 + 1038*m**2/5 + 180*m = 0?
-6, -1, 0, 75
Factor 4*v**5 - 24*v**4.
4*v**4*(v - 6)
Factor 4*f**4 - 28*f**3 + 60*f**2 - 36*f.
4*f*(f - 3)**2*(f - 1)
Factor -d**2 + 3*d + 10.
-(d - 5)*(d + 2)
Determine s, given that -4*s**3 + 4*s**2 + 8*s = 0.
-1, 0, 2
Factor x**2 + 1758*x + 772641.
(x + 879)**2
What is h in 10*h**4 - 105*h**3/2 + 65*h**2 + 45*h/2 - 45 = 0?
-3/4, 1, 2, 3
Factor -2*a**5 + 2*a**4 + 10*a**3 - 2*a**2 - 16*a - 8.
-2*(a - 2)**2*(a + 1)**3
Factor 2*g**3 + 84*g**2 + 82*g.
2*g*(g + 1)*(g + 41)
Factor -2*y**5/9 + 112*y**4/9 - 260*y**3 + 21632*y**2/9 - 74698*y/9.
-2*y*(y - 17)*(y - 13)**3/9
Let -o**5/3 + 8*o**4 - 76*o**3 + 1072*o**2/3 - 832*o + 768 = 0. What is o?
4, 6
Let g**4/8 - 1068*g**3 + 9120719*g**2/4 + 4563564*g + 18258529/8 = 0. Calculate g.
-1, 4273
Factor 18*d**2/19 - 58*d/19 + 40/19.
2*(d - 1)*(9*d - 20)/19
Determine k so that k**2/3 + 904*k/3 = 0.
-904, 0
Factor 2*d**2 - 28*d - 30.
2*(d - 15)*(d + 1)
Find n, given that -2*n**3/5 + 16*n**2/5 - 18*n/5 - 36/5 = 0.
-1, 3, 6
Factor -684*j**2 + 676*j + 8.
-4*(j - 1)*(171*j + 2)
Factor r**5/4 - 17*r**4/4 + 105*r**3/4 - 275*r**2/4 + 125*r/2.
r*(r - 5)**3*(r - 2)/4
Suppose -2*l**4 + 64*l**3/3 + 98*l**2/3 - 20*l/3 - 16 = 0. What is l?
-1, 2/3, 12
Factor -2*m**4 - 204*m**3 - 600*m**2 - 596*m - 198.
-2*(m + 1)**3*(m + 99)
Determine a, given that -6*a**4 - 26*a**3 + 418*a**2 - 254*a - 132 = 0.
-11, -1/3, 1, 6
Factor l**4/5 - 17*l**3/5 + 9*l**2 - 43*l/5 + 14/5.
(l - 14)*(l - 1)**3/5
Factor -4*o**2/7 + 1136*o/7 + 1140/7.
-4*(o - 285)*(o + 1)/7
Factor 4*r**5/5 - 4*r**3/5.
4*r**3*(r - 1)*(r + 1)/5
Factor l**2/6 - 31*l/6 - 16/3.
(l - 32)*(l + 1)/6
Factor j**3/3 + 3*j**2 - 130*j/3 - 96.
(j - 9)*(j + 2)*(j + 16)/3
Solve 2*m**2/5 + 26*m/5 - 136/5 = 0.
-17, 4
Factor -3*s**3 + 3*s**2 + 36*s.
-3*s*(s - 4)*(s + 3)
Let -2*p**3/7 - 30*p**2/7 - 52*p/7 = 0. Calculate p.
-13, -2, 0
Suppose -3*l**5 + 3*l**4 + 18*l**3 - 42*l**2 + 33*l - 9 = 0. Calculate l.
-3, 1
Determine g, given that -121*g**5 + 407*g**4 - 15*g**3 - 395*g**2 + 136*g - 12 = 0.
-1, 2/11, 1, 3
Suppose -4*g**5/7 + 12*g**4/7 - 16*g**2/7 = 0. Calculate g.
-1, 0, 2
Factor -q**2/9 - 17*q/9 - 16/9.
-(q + 1)*(q + 16)/9
Factor -5*i**4 + 80*i**3 - 120*i**2 - 320*i + 560.
-5*(i - 14)*(i - 2)**2*(i + 2)
Factor 2*a**4/9 - 4*a**3/3 + 2*a**2/3 + 20*a/9.
2*a*(a - 5)*(a - 2)*(a + 1)/9
Factor -2*q**3/7 - 18*q**2 - 120*q/7 + 248/7.
-2*(q - 1)*(q + 2)*(q + 62)/7
Factor -2*o**3 - 6*o**2 + 18*o - 10.
-2*(o - 1)**2*(o + 5)
Let k**2/2 - 36*k + 648 = 0. What is k?
36
Determine v, given that 4*v**5 - 4*v**4 - 100*v**3 - 140*v**2 + 96*v + 144 = 0.
-3, -2, -1, 1, 6
Factor 81*d**2/2 + 57*d/2.
3*d*(27*d + 19)/2
Solve -15*g**2/4 - 35*g/2 = 0.
-14/3, 0
Solve s**4/3 - 20*s**3/3 + 82*s**2/3 - 36*s + 15 = 0 for s.
1, 3, 15
Factor 4*a**2 + 8040*a + 4040100.
4*(a + 1005)**2
Factor -w**3/7 - 15*w**2/7 + 500/7.
-(w - 5)*(w + 10)**2/7
Suppose 3*k**4/4 - 741*k**3/4 + 60507*k**2/4 - 1591359*k/4 - 1715361/2 = 0. What is k?
-2, 83
What is a in -4*a**3 - 24*a**2 - 20*a + 48 = 0?
-4, -3, 1
Find x, given that x**4/3 + 2*x**3 - x**2 - 16*x/3 + 4 = 0.
-6, -2, 1
Determine r, given that 6*r**4 + 980*r**3 - 1654*r**2 - 660*r = 0.
-165, -1/3, 0, 2
Factor 4*a**2 - 256*a - 804.
4*(a - 67)*(a + 3)
Let -5*h**4 - 115*h**3 - 300*h**2 = 0. What is h?
-20, -3, 0
Factor -3*k**2/2 + 1743*k - 1012683/2.
-3*(k - 581)**2/2
Factor -5*o**4 + 45*o**3 - 50*o**2 - 180*o + 280.
-5*(o - 7)*(o - 2)**2*(o + 2)
Determine y, given that 2*y**5/7 + 94*y**4/7 - 194*y**3/7 + 14*y**2 = 0.
-49, 0, 1
Factor -n**2 + n + 56.
-(n - 8)*(n + 7)
Factor -2*o**3/9 - 106*o**2/9 - 1256*o/9 - 128.
-2*(o + 1)*(o + 16)*(o + 36)/9
Determine i so that -5*i**5 + 5*i**4 + 20*i**3 - 20*i**2 = 0.
-2, 0, 1, 2
Suppose -7*m**5/4 + 187*m**4/4 - 1647*m**3/4 + 5149*m**2/4 - 1253*m/2 - 294 = 0. What is m?
-2/7, 1, 7, 12
Factor -12*q**3/5 - 147*q**2/5 - 84*q - 96/5.
-3*(q + 4)*(q + 8)*(4*q + 1)/5
Let 3*v**5/2 - 5*v**4 + 2*v**3 + 4*v**2 = 0. What is v?
-2/3, 0, 2
Factor 2*l**4 - 268*l**3 + 8706*l**2 + 18224*l + 9248.
2*(l - 68)**2*(l + 1)**2
Factor -2*k**3/9 + 20*k**2/9 - 14*k/3.
-2*k*(k - 7)*(k - 3)/9
Suppose -4*v**2/3 - 20*v/3 + 56/3 = 0. What is v?
-7, 2
Factor 4*r**5 + 12*r**4 - 20*r**3 - 12*r**2 + 16*r.
4*r*(r - 1)**2*(r + 1)*(r + 4)
Factor 3*g**4 - 516*g**3 + 29754*g**2 - 584820*g + 555579.
3*(g - 57)**3*(g - 1)
Solve 126*q**3/13 + 106*q**2/13 - 166*q/13 - 146/13 = 0 for q.
-1, 73/63
Factor 2*h**2/17 - 344*h/17 - 696/17.
2*(h - 174)*(h + 2)/17
Suppose -m**2 - 16*m - 60 = 0. Calculate m.
-10, -6
Solve -5*g**5/4 + 35*g**4/2 - 295*g**3/4 + 145*g**2/2 + 75*g - 90 = 0.
-1, 1, 2, 6
Factor 2*y**3/3 - 14*y**2 + 66*y + 242/3.
2*(y - 11)**2*(y + 1)/3
Determine u so that -u**2/8 + 401*u/4 - 160801/8 = 0.
401
Solve -3*p**2/7 + 459*p/7 + 1404/7 = 0 for p.
-3, 156
Determine m so that 35*m**3/4 + 45*m**2/2 - 95*m/4 - 75/2 = 0.
-3, -1, 10/7
Solve -3*x**4/7 + 30*x**3 - 2475*x**2/7 - 6000*x - 120000/7 = 0.
-5, 40
Determine m so that m**3 + 2*m**2 - 3*m = 0.
-3, 0, 1
Solve 3*c**3/2 - 261*c**2/2 - 2319*c + 2448 = 0 for c.
-16, 1, 102
Factor -3*h**2 + 135*h.
-3*h*(h - 45)
Determine p so that -p**2/2 - 10*p - 48 = 0.
-12, -8
Find p, given that 4*p**2/7 + 184*p/7 + 2116/7 = 0.
-23
Factor 6*h**3/11 + 22*h**2 + 80*h/11.
2*h*(h + 40)*(3*h + 1)/11
Solve -2*j**3/5 - 48*j**2/5 + 2*j/5 + 48/5 = 0 for j.
-24, -1, 1
Solve 3*z**3/5 + 162*z**2/5 + 843*z/5 - 1008/5 = 0.
-48, -7, 1
Factor l**3 - 12*l**2 - 459*l - 2430.
(l - 30)*(l + 9)**2
Factor 5*p**4 + 30*p**3 + 65*p**2 + 60*p + 20.
5*(p + 1)**2*(p + 2)**2
Factor q**4/3 - 10*q**3 + 63*q**2 - 292*q/3 + 44.
(q - 22)*(q - 6)*(q - 1)**2/3
Factor -5*x**4 + 345*x**3 + 15*x**2 - 1025*x - 690.
-5*(x - 69)*(x - 2)*(x + 1)**2
Factor 5*i**3 + 30*i**2 + 40*i.
5*i*(i + 2)*(i + 4)
Suppose 2*g**2/3 - 36*g = 0. What is g?
0, 54
Factor 5*t**2/4 + 10*t + 35/4.
5*(t + 1)*(t + 7)/4
Determine t, given that 2*t**4/9 + 8*t**3/9 + 4*t**2/3 + 8*t/9 + 2/9 = 0.
-1
Factor -j**2/4 + 33*j/4 + 189/2.
-(j - 42)*(j + 9)/4
Factor 21632*a**3/7 + 18720*a**2/7 - 402*a + 14.
2*(a + 1)*(104*a - 7)**2/7
Determine y, given that -y**3/6 - y**2/2 = 0.
-3, 0
Factor s**3/4 + 63*s**2/4 + 891*s/4 - 3267/4.
(s - 3)*(s + 33)**2/4
Determine p, given that 2*p**2/5 + 706*p/5 - 708/5 = 0.
-354, 1
Solve -3*z**3/2 - 369*z**2/2 - 15129*z/2 - 206763/2 = 0.
-41
Determine f, given that -126*f**5 - 1173*f**4/4 - 210*f**3 - 177*f**2/4 - 3*f/2 = 0.
-1, -2/7, -1/24, 0
Find s, given that 2*s**4 + 6*s**3 - 8*s**2 = 0.
-4, 0, 1
Determine m, given that -4*m**2/5 - 48*m/5 - 16 = 0.
-10, -2
Determine x so that -4*x**2 - 36*x - 32 = 0.
-8, -1
Factor 3*s**2 + 8136*s - 8139.
3*(s - 1)*(s + 2713)
Factor -2*q**4 - 50*q**3 - 332*q**2 - 192*q + 576.
-2*(q - 1)*(q + 2)*(q + 12)**2
Determine b, given that -2*b**4/3 + 8*b**3/3 - 4*b**2 + 8*b/3 - 2/3 = 0.
1
Suppose -n**4 - 16*n**3 - 63*n**2 - 92*n - 44 = 0. Calculate n.
-11, -2, -1
Factor -2*l**2/5 - 36*l + 182/5.
-2*(l - 1)*(l + 91)/5
Factor 3*v**4 + 15*v**3 + 24*v**2 + 12*v.
3*v*(v + 1)*(v + 2)**2
Factor v**2/4 + 35*v/4 + 17/2.
(v + 1)*(v +