a, given that a**4 + 5*a**3 + 7*a**2 + 3*a = 0.
-3, -1, 0
Let -2*a**2/3 - 22*a/3 + 28 = 0. What is a?
-14, 3
Let -12*v**3 - 27*v**2 - 18*v - 3 = 0. What is v?
-1, -1/4
Factor t**5/3 + 5*t**4/3 + 2*t**3 - 4*t**2/3 - 8*t/3.
t*(t - 1)*(t + 2)**3/3
Solve -2*u**5 - 6*u**4 - 2*u**3 + 6*u**2 + 4*u = 0 for u.
-2, -1, 0, 1
Factor 4*z**5 + 8*z**4 + 4*z**3.
4*z**3*(z + 1)**2
Suppose -3*o**3 + 42*o**2 - 96*o - 384 = 0. Calculate o.
-2, 8
Solve -3*r**3 + 111*r**2 - 900*r = 0.
0, 12, 25
Let -p**3 - 68*p**2 - 67*p = 0. What is p?
-67, -1, 0
Suppose -6*l**5/7 - 33*l**4/7 - 69*l**3/7 - 69*l**2/7 - 33*l/7 - 6/7 = 0. What is l?
-2, -1, -1/2
Let -3*i**4/4 - 3*i**3/4 + 183*i**2/4 + 327*i/4 - 126 = 0. Calculate i.
-7, -3, 1, 8
Determine c, given that 2*c**2/9 + 370*c/9 - 124/3 = 0.
-186, 1
Let -2*l**4 - 20*l**3 + 6*l**2 + 64*l + 40 = 0. Calculate l.
-10, -1, 2
Solve 3*d**3 + 6*d**2 - 27*d - 54 = 0.
-3, -2, 3
Factor 36*r**5 + 408*r**4 + 1396*r**3 + 1360*r**2 + 400*r.
4*r*(r + 5)**2*(3*r + 2)**2
Let -4*f**5 - 104*f**4 - 368*f**3 - 352*f**2 = 0. What is f?
-22, -2, 0
Factor v**4/8 + 383*v**3/2 + 292611*v**2/4 - 293761*v/2 + 588289/8.
(v - 1)**2*(v + 767)**2/8
Factor 3*w**3/7 - 474*w**2/7 + 18723*w/7.
3*w*(w - 79)**2/7
What is o in -o**3 - 8*o**2 - 16*o = 0?
-4, 0
Let 2*z**4 - 100*z**3 - 1742*z**2 - 3176*z - 1536 = 0. What is z?
-12, -1, 64
Factor -q**3/4 - 15*q**2/4 + 225*q/2.
-q*(q - 15)*(q + 30)/4
Find y, given that 3*y**4/2 - 9*y**3/8 - 195*y**2/8 - 36*y - 15/2 = 0.
-2, -1/4, 5
Factor -3*g**3 - 33*g**2 - 54*g.
-3*g*(g + 2)*(g + 9)
Factor -51*p**2 - 39*p + 12.
-3*(p + 1)*(17*p - 4)
Determine k so that 5*k**5/9 - k**4/9 - 259*k**3/9 - 353*k**2/3 - 166*k - 72 = 0.
-3, -2, -4/5, 9
Let -3*p**5/4 - 27*p**4/2 - 75*p**3/4 + 81*p**2 - 48*p = 0. What is p?
-16, -4, 0, 1
Determine p, given that -4*p**2 + 36*p + 88 = 0.
-2, 11
Find s such that s**4/10 - 13*s**3/5 + 68*s**2/5 + 192*s/5 = 0.
-2, 0, 12, 16
Factor 20*z**4 + 45*z**3 - 70*z**2 - 180*z - 40.
5*(z - 2)*(z + 2)**2*(4*z + 1)
Find y, given that y**4/2 + 32*y**3 + 629*y**2 + 3348*y - 8019/2 = 0.
-27, -11, 1
Factor 2*a**4 - 6*a**3 + 4*a**2.
2*a**2*(a - 2)*(a - 1)
Factor -d**2 - 1102*d - 1101.
-(d + 1)*(d + 1101)
Determine u so that 56*u**3/17 + 278*u**2/17 - 346*u/17 + 12/17 = 0.
-6, 1/28, 1
Find y such that -4*y**3 - 84*y**2 = 0.
-21, 0
Factor 12*k**4 + 15*k**3 - 87*k**2 - 171*k - 81.
3*(k - 3)*(k + 1)**2*(4*k + 9)
Factor 2*k**4/3 + 10*k**3/3 - 2*k**2/3 - 10*k/3.
2*k*(k - 1)*(k + 1)*(k + 5)/3
Solve -9*w**3/2 + 69*w**2/2 - 43*w/2 + 7/2 = 0 for w.
1/3, 7
Factor -3*y**4/4 + 15*y**3/2 - 27*y**2/4.
-3*y**2*(y - 9)*(y - 1)/4
Determine h so that h**5/3 - 10*h**4/3 + 29*h**3/3 - 32*h**2/3 + 4*h = 0.
0, 1, 2, 6
What is v in 242*v**2 + 616*v + 392 = 0?
-14/11
Find o, given that 4*o**3 + 184*o**2 + 180*o = 0.
-45, -1, 0
Factor i**2 - 5*i.
i*(i - 5)
Suppose -t**4/10 - 53*t**3/10 - 673*t**2/10 + 837*t/10 + 729/5 = 0. What is t?
-27, -1, 2
Factor 2*w**5/3 - 118*w**4/3 + 704*w**3 - 5616*w**2 + 21024*w - 30240.
2*(w - 35)*(w - 6)**4/3
What is q in 2*q**5/7 + 10*q**4/7 + 4*q**3/7 - 4*q**2 - 6*q/7 + 18/7 = 0?
-3, -1, 1
Let -h**4/9 + 2*h**3 - 4*h**2 - 130*h/9 - 25/3 = 0. Calculate h.
-1, 5, 15
Factor -845*w**4 + 10*w**3.
-5*w**3*(169*w - 2)
Factor x**3/5 - 106*x**2/5 - 43*x - 108/5.
(x - 108)*(x + 1)**2/5
Solve -4*f**3 + 128*f**2 - 240*f = 0.
0, 2, 30
Factor 4*g**3 - 176*g**2 - 4*g + 176.
4*(g - 44)*(g - 1)*(g + 1)
Find k, given that 9*k**5 - 24*k**4 + 9*k**3 + 6*k**2 = 0.
-1/3, 0, 1, 2
Factor c**2 - 44*c + 484.
(c - 22)**2
Determine j so that j**5 + 3*j**4 - 88*j**3 + 228*j**2 - 144*j = 0.
-12, 0, 1, 2, 6
Let -2*u**2/19 + 32*u/19 - 78/19 = 0. What is u?
3, 13
Factor 5*u**4 - 15*u**3 + 5*u**2 + 15*u - 10.
5*(u - 2)*(u - 1)**2*(u + 1)
Solve 8*u**3 + 32*u**2 - 38*u + 10 = 0.
-5, 1/2
Find k such that -4*k**3 + 3852*k**2 - 1236492*k + 132304644 = 0.
321
Let 3*y**4/4 + 3*y**3/2 - 6*y**2 - 27*y/2 - 27/4 = 0. What is y?
-3, -1, 3
Suppose -v**3 - 3*v**2 + 784*v - 780 = 0. What is v?
-30, 1, 26
Factor -2*v**3 + 12*v**2 + 50*v + 36.
-2*(v - 9)*(v + 1)*(v + 2)
Solve 3*z**2 - 426*z + 15123 = 0 for z.
71
What is n in 2*n**2 + 210*n + 2392 = 0?
-92, -13
Let 22*c**2/3 - 30*c + 24 = 0. What is c?
12/11, 3
Suppose -3*n**2/5 + 6*n - 15 = 0. Calculate n.
5
Factor 3*d**2 - 78*d + 507.
3*(d - 13)**2
Factor -3*b**3 - 108*b**2 - 828*b - 1248.
-3*(b + 2)*(b + 8)*(b + 26)
Solve -2*m**5 + 22*m**4 - 46*m**3 - 22*m**2 + 48*m = 0.
-1, 0, 1, 3, 8
Determine w, given that w**5 - 44*w**4 + 83*w**3 + 44*w**2 - 84*w = 0.
-1, 0, 1, 2, 42
Factor -4*y**4 - 828*y**3 - 43260*y**2 - 42436*y.
-4*y*(y + 1)*(y + 103)**2
Find f, given that -3*f**4/5 + 423*f**3/5 + 2169*f**2/5 + 3057*f/5 + 1314/5 = 0.
-3, -1, 146
Let 3*g**4/2 + 15*g**3/2 + 3*g**2 - 12*g = 0. Calculate g.
-4, -2, 0, 1
Factor c**4/3 + 166*c**3/3 + 2351*c**2 + 13612*c/3 + 6724/3.
(c + 1)**2*(c + 82)**2/3
Let -2*n**4/9 - 6*n**3 + 374*n**2/9 - 238*n/3 + 44 = 0. What is n?
-33, 1, 2, 3
What is b in -5*b**4/4 - b**3/4 + 31*b**2/4 + 45*b/4 + 9/2 = 0?
-6/5, -1, 3
Suppose -v**5/4 - 7*v**4/2 - 12*v**3 + 7*v**2/2 + 49*v/4 = 0. What is v?
-7, -1, 0, 1
Solve 2*v**5/3 - 6*v**4 + 2*v**3 + 146*v**2/3 + 64*v + 24 = 0.
-1, 6
Suppose 2*g**2/9 - 44*g/9 + 14/3 = 0. What is g?
1, 21
Factor -4*c**3 - 36*c**2 - 56*c + 96.
-4*(c - 1)*(c + 4)*(c + 6)
Find n such that -2*n**4/5 + 32*n**2/5 = 0.
-4, 0, 4
Factor -3*o**3 + 53*o**2 + 146*o - 120.
-(o - 20)*(o + 3)*(3*o - 2)
Let -5*u**2 + 190*u - 1085 = 0. Calculate u.
7, 31
Suppose 4*v**5 - 48*v**4 - 72*v**3 + 1312*v**2 + 2628*v + 1296 = 0. Calculate v.
-4, -1, 9
Factor 3*o**2 - 34*o + 11.
(o - 11)*(3*o - 1)
Determine d, given that -d**3 + 13*d**2 - 56*d + 80 = 0.
4, 5
Factor -3*s**2 + 8406*s - 5888403.
-3*(s - 1401)**2
Determine a so that -a**3/4 + 9*a**2/2 - 33*a/4 + 4 = 0.
1, 16
Factor u**2/6 + 31*u/6 + 39.
(u + 13)*(u + 18)/6
Solve 9*d**4 - 106*d**3 + 219*d**2 + 54*d = 0 for d.
-2/9, 0, 3, 9
Factor 6*s**2/7 - 674*s/7 - 680/7.
2*(s + 1)*(3*s - 340)/7
Factor -2*a**5/9 + 4*a**3/9 - 2*a/9.
-2*a*(a - 1)**2*(a + 1)**2/9
Let -2*j**5 + 311*j**4 + 156*j**3 = 0. What is j?
-1/2, 0, 156
Factor -2*p**2 - 124*p.
-2*p*(p + 62)
Factor 8*u**3 - 894*u**2 + 3258*u - 1944.
2*(u - 108)*(u - 3)*(4*u - 3)
Factor 2*w**2/7 + 204*w/7 - 1760/7.
2*(w - 8)*(w + 110)/7
Factor -5*j**2 - 2170*j + 8760.
-5*(j - 4)*(j + 438)
Factor 120*s**3 + 505*s**2 + 580*s + 100.
5*(s + 2)**2*(24*s + 5)
Determine i so that 4*i**5 - 16*i**4 - 100*i**3 + 112*i**2 = 0.
-4, 0, 1, 7
Factor 108578*r**2 - 5592*r + 72.
2*(233*r - 6)**2
Solve -5*j**3/3 + 20*j**2/3 + 55*j/3 + 10 = 0 for j.
-1, 6
Factor -5*g**4 - 20*g**3 - 10*g**2 + 20*g + 15.
-5*(g - 1)*(g + 1)**2*(g + 3)
Factor -5*n**3 + 41*n**2 + 86*n + 40.
-(n - 10)*(n + 1)*(5*n + 4)
Factor -5*u**2 + 10*u + 120.
-5*(u - 6)*(u + 4)
Find v, given that -3*v**5 + 12*v**4 - 3*v**3 - 30*v**2 + 12*v + 24 = 0.
-1, 2
Factor s**3/2 - 17*s**2/2 + 31*s/2 - 15/2.
(s - 15)*(s - 1)**2/2
Find j such that -5*j**3 - 740*j**2 = 0.
-148, 0
What is l in -4*l**2 - 2456*l - 376996 = 0?
-307
Solve -3*a**5 + 33*a**4 + 150*a**3 - 1650*a**2 - 1875*a + 20625 = 0 for a.
-5, 5, 11
Factor -25*s**4 - 2585*s**3 - 7605*s**2 - 7555*s - 2510.
-5*(s + 1)**3*(5*s + 502)
Determine w, given that w**5/3 - 11*w**4/6 + 3*w**3/2 + 7*w**2/3 - 4*w/3 = 0.
-1, 0, 1/2, 2, 4
Determine r so that r**4/2 - 5*r**3 + 8*r**2 = 0.
0, 2, 8
Find n such that 4*n**2 - 96*n + 92 = 0.
1, 23
What is y in y**3/3 - 112*y**2/3 - 115*y = 0?
-3, 0, 115
Find u, given that -5*u**5/3 + 25*u**4/3 + 205*u**3/3 - 75*u**2 = 0.
-5, 0, 1, 9
Let -6*d**4 - 1135*d**3 - 53199*d**2 + 45315*d + 9025 = 0. Calculate d.
-95, -1/6, 1
Let 4*r**4/3 - 4*r**2/3 = 0. Calculate r.
-1, 0, 1
Factor -2*r**3/7 + 438*r**2/7 - 436*r/7.
-2*r*(r - 218)*(r - 1)/7
Factor w**3 - 264*w**2 + 524*w.
w*(w - 262)*(w - 2)
Solve -8*t**4/5 + 24*t**3/5 + 86*t**2/5 - 12*t/5 - 18 = 0 for t.
-3/2, 1, 5
Find c such that c**3/3 - 78*c**2 - 316*c - 952/3 = 0.
-2, 238
Determine y, given that -20*y**2 - 3255*y + 815 = 0.
-163, 1/4
Suppose -3*p**3/4 - 291*p**2/2 = 0. What is p?
-194, 0
Factor -2*x**3 + 2*x**2 + 20*x + 16.
-2*(x - 4)*(x + 1)*(x + 2)
Factor 5*b**4 + 630*b**3 + 18540*b**2 - 82550*b + 63375.
5*(b - 3)*(b - 1)*(b + 65)**2
Let 3*q**3 - 3*q**2 - 12*q + 12 = 0. Calculate q.
-2, 1, 2
Suppose -3*i**4 - 261*i