*l**2 - 330*l + 945 = 0.
3, 63
Find u, given that -9*u**4 + 210*u**3 - 573*u**2 - 552*u + 240 = 0.
-1, 1/3, 4, 20
Let -4*x**5 + 24*x**4 + 12*x**3 - 80*x**2 + 48*x = 0. What is x?
-2, 0, 1, 6
Factor -4*n**3 + 48*n**2 - 36*n - 88.
-4*(n - 11)*(n - 2)*(n + 1)
Find p, given that 2*p**3 - 110*p**2 + 414*p - 306 = 0.
1, 3, 51
Let 10*w**3/13 + 164*w**2/13 - 506*w/13 - 228/13 = 0. What is w?
-19, -2/5, 3
Suppose z**4 + 10*z**3 + 21*z**2 = 0. Calculate z.
-7, -3, 0
Find k such that k**2/4 - 1701*k/2 + 2893401/4 = 0.
1701
Let -12*s**5/7 - 18*s**4/7 + 6*s**3/7 + 18*s**2/7 + 6*s/7 = 0. Calculate s.
-1, -1/2, 0, 1
What is c in -4*c**5 + 14*c**4 - 20*c**2 + 4*c + 6 = 0?
-1, -1/2, 1, 3
Suppose -18*s**2 + 132*s - 242 = 0. Calculate s.
11/3
Factor -5*z**5 - 170*z**4 - 630*z**3 - 920*z**2 - 605*z - 150.
-5*(z + 1)**4*(z + 30)
What is o in 4*o**5 + 84*o**4 + 552*o**3 + 1192*o**2 + 1044*o + 324 = 0?
-9, -1
Solve -2*w**5/3 + 8*w**4/3 + 18*w**3 + 76*w**2/3 + 32*w/3 = 0.
-2, -1, 0, 8
Factor 3*z**2 + 12*z - 36.
3*(z - 2)*(z + 6)
Let -4*u**2 + 116*u - 672 = 0. What is u?
8, 21
Let a**4/6 + 118*a**3/3 + 3118*a**2 + 282256*a/3 + 2860832/3 = 0. What is a?
-92, -26
Suppose -2*o**4 + 6*o**3 + 20*o**2 = 0. Calculate o.
-2, 0, 5
Factor a**3/3 + 14*a**2 + 135*a.
a*(a + 15)*(a + 27)/3
Factor 2*b**5 + 16*b**4 + 44*b**3 + 56*b**2 + 34*b + 8.
2*(b + 1)**4*(b + 4)
Factor -2*n**2/3 - 16*n + 104/3.
-2*(n - 2)*(n + 26)/3
Factor d**3/3 + 1465*d**2/3 + 540200*d/3 + 2664500/3.
(d + 5)*(d + 730)**2/3
Find a such that 8*a**5 + 1358*a**4 + 58796*a**3 + 98112*a**2 - 28224*a = 0.
-84, -2, 0, 1/4
Suppose -4*u**2 - 456*u - 12996 = 0. Calculate u.
-57
Solve 2*w**3/7 + 732*w**2/7 + 1458*w/7 + 104 = 0.
-364, -1
Let g**2 + 4*g - 12 = 0. Calculate g.
-6, 2
Solve 6*l**5 + 1078*l**4 + 49308*l**3 + 79564*l**2 + 15486*l - 15842 = 0 for l.
-89, -1, 1/3
Factor -h**5 + 77*h**4 - 438*h**3 + 860*h**2 - 568*h.
-h*(h - 71)*(h - 2)**3
Factor 3*m**5 - 21*m**4 + 57*m**3 - 75*m**2 + 48*m - 12.
3*(m - 2)**2*(m - 1)**3
Find p such that -p**5/3 - 3*p**4 - 13*p**3/3 + 3*p**2 + 14*p/3 = 0.
-7, -2, -1, 0, 1
Solve 4*t**4 + 104*t**3 - 1488*t**2 + 5080*t - 3700 = 0 for t.
-37, 1, 5
Factor -4*h**3 + 8*h**2 + 12*h.
-4*h*(h - 3)*(h + 1)
Factor -2*g**2/3 - 476*g/3 - 28322/3.
-2*(g + 119)**2/3
Factor -6*q**2/7 - 656*q/7 + 662/7.
-2*(q - 1)*(3*q + 331)/7
Suppose 3*c**2 + 2877*c - 2880 = 0. Calculate c.
-960, 1
Determine u so that 676*u**3 + 56992*u**2 + 17488*u + 1344 = 0.
-84, -2/13
Factor 4*v**2 + 244*v.
4*v*(v + 61)
Factor -3*n**3 + 42*n**2 - 72*n.
-3*n*(n - 12)*(n - 2)
Factor -a**4/3 - a**3 + 16*a**2 + 272*a/3 + 128.
-(a - 8)*(a + 3)*(a + 4)**2/3
Factor 3*k**3 + 126*k**2 + 1764*k + 8232.
3*(k + 14)**3
What is h in -16*h**4 + 4*h**3 + 12*h**2 = 0?
-3/4, 0, 1
Determine v, given that v**5/2 - v**4/2 - 5*v**3/2 + v**2/2 + 4*v + 2 = 0.
-1, 2
Factor -l**4/2 - 11*l**3/2 - 19*l**2/2 - 9*l/2.
-l*(l + 1)**2*(l + 9)/2
Factor 5*i**3/2 - 135*i**2/2 - 70*i.
5*i*(i - 28)*(i + 1)/2
Let -9*t**2 - 615*t - 204 = 0. Calculate t.
-68, -1/3
What is s in -3*s**5 + 78*s**4 - 387*s**3 - 2064*s**2 + 5460*s + 7056 = 0?
-4, -1, 3, 14
Suppose 2*j**2/3 + 10*j - 68/3 = 0. Calculate j.
-17, 2
Factor 5*d**2 - 250*d + 3045.
5*(d - 29)*(d - 21)
Suppose f**3/2 - 273*f**2/2 + 9384*f - 9248 = 0. What is f?
1, 136
Solve -292*k**2/3 - 4*k = 0 for k.
-3/73, 0
Determine u so that u**2/6 - 5*u/3 + 4 = 0.
4, 6
Find s such that 2*s**4/7 - 12*s**3/7 + 10*s**2/7 = 0.
0, 1, 5
Determine h, given that 3*h**5 + 33*h**4/2 + 18*h**3 - 51*h**2/2 - 30*h + 18 = 0.
-3, -2, 1/2, 1
Factor l**4/3 + l**3 - 3*l**2 + 5*l/3.
l*(l - 1)**2*(l + 5)/3
Let -3*f**2 - 105*f = 0. What is f?
-35, 0
Factor -3*x**2 + 36*x - 60.
-3*(x - 10)*(x - 2)
Factor 3*t**4/2 + 7*t**3 + 19*t**2/2 + 2*t - 2.
(t + 1)*(t + 2)**2*(3*t - 1)/2
Factor -5*r**3/3 - 2650*r**2 - 1404500*r - 744385000/3.
-5*(r + 530)**3/3
Determine g so that g**3/2 + 17*g**2/2 - 10*g - 18 = 0.
-18, -1, 2
Determine p, given that -4*p**5/5 - 24*p**4/5 - 8*p**3 + 44*p/5 + 24/5 = 0.
-3, -2, -1, 1
Solve 3*v**2/5 + 237*v/5 = 0.
-79, 0
Factor 3*k**5 - 15*k**4 + 21*k**3 - 9*k**2.
3*k**2*(k - 3)*(k - 1)**2
Factor x**4 - 85*x**3 + 1761*x**2 + 2021*x - 3698.
(x - 43)**2*(x - 1)*(x + 2)
Factor 3*s**4 - 12*s**3.
3*s**3*(s - 4)
Solve 3*x**4/2 - 141*x**3/2 + 273*x**2/2 - 135*x/2 = 0.
0, 1, 45
Find b, given that -4*b**4 - 156*b**3 - 268*b**2 + 1020*b - 592 = 0.
-37, -4, 1
Factor -3*c**4 - 66*c**3 - 123*c**2 - 60*c.
-3*c*(c + 1)**2*(c + 20)
Factor 6*i**2/5 - 20*i - 34/5.
2*(i - 17)*(3*i + 1)/5
Factor -4*q**2/7 + 1052*q/7 - 3120/7.
-4*(q - 260)*(q - 3)/7
Suppose p**4/5 + p**3 - 54*p**2/5 + 124*p/5 - 88/5 = 0. Calculate p.
-11, 2
Factor i**3/3 - 8*i**2 + 15*i - 22/3.
(i - 22)*(i - 1)**2/3
Factor -4*r**5 + 20*r**4 - 32*r**3 + 16*r**2.
-4*r**2*(r - 2)**2*(r - 1)
Solve 2*g**3/5 + 8*g**2/5 - 22*g/5 + 12/5 = 0 for g.
-6, 1
Determine f, given that 4*f**5 - 8*f**4 - 8*f**3 + 16*f**2 + 4*f - 8 = 0.
-1, 1, 2
Factor 3*x**4/5 + 24*x**3/5 - 69*x**2/5 - 18*x.
3*x*(x - 3)*(x + 1)*(x + 10)/5
Solve -y**2 + 11*y + 126 = 0 for y.
-7, 18
Factor -2*n**2 - 894*n - 892.
-2*(n + 1)*(n + 446)
What is q in -243*q**5 - 1566*q**4 + 1041*q**3 + 684*q**2 + 84*q = 0?
-7, -2/9, 0, 1
Determine x so that 5*x**3 - 75*x**2 + 375*x - 625 = 0.
5
Factor 2*h**3/3 - 106*h**2/3 + 544*h - 1920.
2*(h - 24)**2*(h - 5)/3
Find w, given that 5*w**5/4 - w**4/2 - 45*w**3/2 + 9*w**2 + 405*w/4 - 81/2 = 0.
-3, 2/5, 3
Factor -5*t**3 - 65*t**2 - 50*t + 120.
-5*(t - 1)*(t + 2)*(t + 12)
Factor -w**4/8 + 33*w**3/4 - 144*w**2 + 256*w.
-w*(w - 32)**2*(w - 2)/8
Determine o so that -4*o**5/5 - 4*o**4 - 16*o**3/5 = 0.
-4, -1, 0
Find l such that -39*l**3/5 + 33*l**2/5 + 6*l/5 = 0.
-2/13, 0, 1
Factor 5*w**3 + 2030*w**2 - 5*w - 2030.
5*(w - 1)*(w + 1)*(w + 406)
Let s**3/11 + 307*s**2/11 - s/11 - 307/11 = 0. Calculate s.
-307, -1, 1
Determine m, given that 5*m**3 - 140*m**2/3 - 125*m/3 + 250/3 = 0.
-5/3, 1, 10
Find u such that -2*u**4 - 6*u**3 + 10*u**2 + 6*u - 8 = 0.
-4, -1, 1
Determine v, given that 5*v**4 + 5*v**3 - 80*v**2 - 80*v = 0.
-4, -1, 0, 4
Let 2*o**2/7 - 192*o/7 = 0. Calculate o.
0, 96
Factor -4*z**4/7 - 250*z**3/7 - 3968*z**2/7 - 1922*z/7.
-2*z*(z + 31)**2*(2*z + 1)/7
Suppose -2*t**2/3 - 22*t/3 - 16 = 0. What is t?
-8, -3
Solve 4*p**2/3 - 56*p/3 + 44 = 0 for p.
3, 11
Factor a**4 + 22*a**3 - 303*a**2 + 536*a - 256.
(a - 8)*(a - 1)**2*(a + 32)
Factor 15*t**3 + 2039*t**2 + 69224*t - 4624.
(t + 68)**2*(15*t - 1)
Let 16*s**3 - 3620*s**2 + 205208*s - 51076 = 0. What is s?
1/4, 113
Find w, given that -2*w**3/11 + 138*w**2/11 - 2790*w/11 + 13454/11 = 0.
7, 31
Find l, given that -12*l**4/7 + 22*l**3/7 - 10*l**2/7 = 0.
0, 5/6, 1
Let n**3/11 - 13*n**2/11 = 0. What is n?
0, 13
Determine o, given that -o**5/2 - 9*o**4/2 - 9*o**3 + 16*o**2 + 48*o = 0.
-4, -3, 0, 2
Factor 3*s**4 + 42*s**3 + 75*s**2 + 36*s.
3*s*(s + 1)**2*(s + 12)
Suppose -g**5/6 + g**4/3 + g**3/2 - 2*g**2/3 - 2*g/3 = 0. What is g?
-1, 0, 2
Factor -12*l**3/5 - 6*l**2 + 66*l/5 - 24/5.
-6*(l - 1)*(l + 4)*(2*l - 1)/5
Determine w, given that -2*w**5 + 96*w**4 - 704*w**3 - 10752*w**2 - 25088*w = 0.
-4, 0, 28
Solve -2*i**5/5 - 34*i**4/5 + 482*i**3/5 - 1502*i**2/5 + 1704*i/5 - 648/5 = 0 for i.
-27, 1, 2, 6
What is b in 42*b**5 + 64*b**4 - 40*b**3 - 84*b**2 - 2*b + 20 = 0?
-1, 10/21, 1
What is n in 4*n**5 + 22*n**4 + 26*n**3 - 22*n**2 - 30*n = 0?
-3, -5/2, -1, 0, 1
Find c such that -9*c**2 - 69*c - 42 = 0.
-7, -2/3
Factor -20*t**2 - 26635*t + 6660.
-5*(t + 1332)*(4*t - 1)
Determine y, given that 3*y**2/5 + 84*y/5 - 2112/5 = 0.
-44, 16
Factor -4*x**2 + 132*x + 432.
-4*(x - 36)*(x + 3)
Factor -j**3/4 - 21*j**2/4 - 39*j/4 - 19/4.
-(j + 1)**2*(j + 19)/4
Factor 2*s**4 + 80*s**3 + 858*s**2 + 836*s - 5776.
2*(s - 2)*(s + 4)*(s + 19)**2
Suppose 5*z**5/2 - 13*z**4/2 - 101*z**3/2 - 23*z**2/2 + 48*z + 18 = 0. Calculate z.
-3, -1, -2/5, 1, 6
Factor -2*k**2/3 + 2084*k/3 - 542882/3.
-2*(k - 521)**2/3
Suppose -40*k**3 - 172*k**2 + 136*k - 20 = 0. What is k?
-5, 1/5, 1/2
Let -h**3/2 - 13*h**2 + 55*h/2 - 14 = 0. What is h?
-28, 1
Factor 2*v**2/7 - 984*v/7 + 982/7.
2*(v - 491)*(v - 1)/7
Let -2*b**2/5 + 12*b/5 - 18/5 = 0. Calculate b.
3
Determine u so that 5*u**5 - 45*u**4 + 110*u**3 - 30*u**2 - 115*u + 75 = 0.
-1, 1, 3, 5
Solve -14*f**5 - 18*f**4 + 38*f**3 + 26*f**2 - 24*f - 8 =