11 - 1498*n/11 + 1332/11.
-2*(n - 74)*(n - 9)*(n - 1)/11
Determine a, given that 4*a**4 - 240*a**3 + 3348*a**2 + 7688*a = 0.
-2, 0, 31
Factor 2*g**2/13 - 48*g/13 - 8.
2*(g - 26)*(g + 2)/13
Solve -u**2/5 + 34*u/5 + 147 = 0.
-15, 49
Factor -s**4/4 - s**3/2 + 35*s**2/4 + 18*s + 9.
-(s - 6)*(s + 1)**2*(s + 6)/4
Factor 5*o**3 + 940*o**2 + 7280*o + 14400.
5*(o + 4)**2*(o + 180)
Determine c, given that -4*c**5 + 24*c**4 - 16*c**3 - 72*c**2 + 20*c + 48 = 0.
-1, 1, 3, 4
Let -3*j**5 - 132*j**4 + 1620*j**3 = 0. Calculate j.
-54, 0, 10
Find g, given that 5*g**2 - 35*g + 60 = 0.
3, 4
Factor 3*g**3 - 93*g**2 + 177*g - 87.
3*(g - 29)*(g - 1)**2
Factor -15*m**5 - 51*m**4 - 18*m**3.
-3*m**3*(m + 3)*(5*m + 2)
Determine f so that -5*f**4/6 + 445*f**3/3 - 7030*f**2 + 114380*f/3 - 147920/3 = 0.
2, 4, 86
Solve s**5/3 - 4*s**3/3 = 0 for s.
-2, 0, 2
Find j, given that 2*j**2/11 - 74*j/11 + 204/11 = 0.
3, 34
What is q in 5*q**2/6 + 247*q/2 + 74/3 = 0?
-148, -1/5
Factor n**4/3 + 67*n**3/3 + 362*n**2 - 1292*n/3 - 2312/3.
(n - 2)*(n + 1)*(n + 34)**2/3
Determine d so that 45*d**3 - 327*d**2 + 354*d - 72 = 0.
4/15, 1, 6
Let -j**3/2 - 3645*j**2 - 8857350*j - 7174453500 = 0. What is j?
-2430
Factor -5*w**4 + 20*w**3 + 55*w**2 + 30*w.
-5*w*(w - 6)*(w + 1)**2
Factor 2*q**2/5 + 56*q/5 + 392/5.
2*(q + 14)**2/5
Determine z so that z**4/2 - 2*z**3 + 5*z**2/2 - z = 0.
0, 1, 2
Suppose 2*j**4 + 16*j**3 - 24*j**2 - 160*j + 256 = 0. What is j?
-8, -4, 2
Determine o, given that 3*o**2/5 + 27*o - 138/5 = 0.
-46, 1
Factor l**2/3 + 11*l/3 + 8.
(l + 3)*(l + 8)/3
Let 2*s**5/11 - 14*s**4/11 - 28*s**3/11 + 340*s**2/11 - 50*s + 250/11 = 0. What is s?
-5, 1, 5
Factor -2*n**3 - 4*n**2 + 30*n + 72.
-2*(n - 4)*(n + 3)**2
Factor 1922*r**2/11 - 2232*r/11 + 648/11.
2*(31*r - 18)**2/11
Factor 28*i**4/9 + 22*i**3/3 + 20*i**2/9.
2*i**2*(i + 2)*(14*i + 5)/9
Find j such that -10*j**5/7 - 176*j**4/7 + 702*j**3/7 - 36*j**2 = 0.
-21, 0, 2/5, 3
Find i, given that 3*i**2 - 393*i + 774 = 0.
2, 129
Find y, given that -2*y**4/7 - 60*y**3/7 + 2*y**2/7 + 60*y/7 = 0.
-30, -1, 0, 1
Factor n**2 + 68*n + 1156.
(n + 34)**2
Find y such that 2*y**4 + 428*y**3 - 1304*y**2 - 428*y + 1302 = 0.
-217, -1, 1, 3
Find q such that 5*q**5 - 85*q**3 + 180*q**2 - 100*q = 0.
-5, 0, 1, 2
Factor 5*k**2 + 65*k + 60.
5*(k + 1)*(k + 12)
Find v such that -3*v**2 + 10398*v - 10395 = 0.
1, 3465
What is x in 2*x**2/11 - 4028*x/11 + 12066/11 = 0?
3, 2011
Solve 16*s**4 - 40*s**3 + 33*s**2 - 9*s = 0 for s.
0, 3/4, 1
Solve -10*t**5 - 55*t**4 - 15*t**3 + 55*t**2 + 25*t = 0.
-5, -1, -1/2, 0, 1
Factor 3*y**2 + 36*y - 84.
3*(y - 2)*(y + 14)
Find b, given that -b**3/2 - b**2/2 + b/2 + 1/2 = 0.
-1, 1
Factor -i**4/5 + 6*i**3/5 - 12*i**2/5 + 2*i - 3/5.
-(i - 3)*(i - 1)**3/5
Suppose 5*u**3 + 330*u**2 + 5445*u = 0. What is u?
-33, 0
Solve 5*v**2 + 30*v + 40 = 0.
-4, -2
Factor -b**4 + b**3 + 16*b**2 - 16*b.
-b*(b - 4)*(b - 1)*(b + 4)
Factor b**2 - 441*b.
b*(b - 441)
Find u, given that 8*u**3 - 36*u**2 + 12*u + 16 = 0.
-1/2, 1, 4
Factor 4*r**3/5 + 96*r**2/5 - 468*r.
4*r*(r - 15)*(r + 39)/5
What is m in 27*m**5/2 - 27*m**4/2 - 165*m**3/2 + 3*m**2/2 + 9*m = 0?
-2, -1/3, 0, 1/3, 3
Factor 5*g**3/4 - 75*g**2/4 - 5*g/4 + 75/4.
5*(g - 15)*(g - 1)*(g + 1)/4
Factor -x**4/6 - x**3/3 + 31*x**2/6 - 14*x/3.
-x*(x - 4)*(x - 1)*(x + 7)/6
Factor -2*f**2/3 + 2*f/3.
-2*f*(f - 1)/3
Factor -5*z**5 - 40*z**4 - 105*z**3 - 70*z**2 + 100*z + 120.
-5*(z - 1)*(z + 2)**3*(z + 3)
Let 15*m**3/4 - 21*m**2/2 - 75*m/4 + 99/2 = 0. What is m?
-11/5, 2, 3
Factor -3*d**2 - 9*d + 390.
-3*(d - 10)*(d + 13)
Suppose -2*x**2 + 204*x - 5202 = 0. What is x?
51
Factor 6*v**3/11 - 2894*v**2/11 + 349450*v/11 - 116162/11.
2*(v - 241)**2*(3*v - 1)/11
Find j, given that 60*j**5 - 2924*j**4 - 860*j**3 + 3708*j**2 + 800*j - 784 = 0.
-1, -2/3, 2/5, 1, 49
Let -2*a**5/11 + 16*a**4/11 - 26*a**3/11 + 12*a**2/11 = 0. Calculate a.
0, 1, 6
Factor 4*a**2/7 - 76*a/7 + 72/7.
4*(a - 18)*(a - 1)/7
What is r in -4*r**5/7 - 220*r**4/7 - 4540*r**3/7 - 42340*r**2/7 - 161920*r/7 - 123904/7 = 0?
-16, -11, -1
Suppose -4*w**3 + 40*w**2 + 44*w = 0. What is w?
-1, 0, 11
Let y**4/7 - 8*y**3/7 + 11*y**2/7 + 20*y/7 = 0. Calculate y.
-1, 0, 4, 5
Factor -3*i**3 - 735*i**2 - 46101*i - 131769.
-3*(i + 3)*(i + 121)**2
Suppose -10*w**5 + 65*w**4 - 150*w**3 + 160*w**2 - 80*w + 15 = 0. What is w?
1/2, 1, 3
Solve 36*t**3 - 48*t**2 + 16*t = 0.
0, 2/3
Let 4*h**3 - 376*h**2 + 1796*h - 1424 = 0. What is h?
1, 4, 89
Determine y, given that 2*y**3/3 - 50*y**2/3 + 96*y = 0.
0, 9, 16
Find u, given that -u**3/6 - 7*u**2/6 + 3*u = 0.
-9, 0, 2
Let -9*f**4/4 - 35*f**3 - 128*f**2 + 64*f = 0. What is f?
-8, 0, 4/9
Determine p, given that p**2 - 12*p + 27 = 0.
3, 9
Factor o**3/2 - 63*o**2 - 385*o/2 - 129.
(o - 129)*(o + 1)*(o + 2)/2
Let -9*a**4 + 15*a**3 + 15*a**2 - 15*a - 6 = 0. Calculate a.
-1, -1/3, 1, 2
Let -d**4 - 468*d**3 - 54286*d**2 + 109980*d - 55225 = 0. Calculate d.
-235, 1
Solve -3*b**2/5 - 2238*b/5 - 417387/5 = 0 for b.
-373
Suppose -x**5/4 + 6*x**4 + 7*x**3 - 37*x**2/2 - 27*x/4 + 25/2 = 0. Calculate x.
-2, -1, 1, 25
Factor f**2/5 + 156*f/5 + 6084/5.
(f + 78)**2/5
Factor -5*s**3 - 105*s**2 - 280*s - 180.
-5*(s + 1)*(s + 2)*(s + 18)
Find p such that 2*p**3/13 + 40*p**2/13 = 0.
-20, 0
Factor 3*o**2/7 + 132*o/7 + 36.
3*(o + 2)*(o + 42)/7
What is x in 2*x**3 + 326*x**2 = 0?
-163, 0
Suppose b**2/2 - 2*b - 5/2 = 0. Calculate b.
-1, 5
Find z such that 29403*z**2 + 11880*z + 1200 = 0.
-20/99
Suppose 2*p**4/11 + 2*p**3/11 - 14*p**2/11 - 26*p/11 - 12/11 = 0. What is p?
-2, -1, 3
Factor -v**2/4 - 41*v/2 - 40.
-(v + 2)*(v + 80)/4
Let 12*q**2 + 56*q + 64 = 0. What is q?
-8/3, -2
Factor -b**5 - 72*b**4 - 1816*b**3 - 18720*b**2 - 67600*b.
-b*(b + 10)**2*(b + 26)**2
Find m, given that 2*m**5/5 - 8*m**4/5 + 4*m**2 - 2*m/5 - 12/5 = 0.
-1, 1, 2, 3
Factor -3*l**4 + 30*l**3 - 96*l**2 + 96*l.
-3*l*(l - 4)**2*(l - 2)
Factor 3*z**3 + 138*z**2 + 1440*z - 3456.
3*(z - 2)*(z + 24)**2
Find m, given that -7*m**3/6 + 79*m**2/6 - 11*m/3 = 0.
0, 2/7, 11
Factor -j**2/2 + 19*j/2 - 17.
-(j - 17)*(j - 2)/2
Factor -3*g**4 + 9*g**3 + 30*g**2.
-3*g**2*(g - 5)*(g + 2)
Factor v**2/4 - 207*v/2 + 206.
(v - 412)*(v - 2)/4
Suppose 35*l**4 - 185*l**3 + 50*l**2 = 0. Calculate l.
0, 2/7, 5
Solve -p**3/2 - 3*p**2/2 + 45*p/2 - 81/2 = 0 for p.
-9, 3
Factor z**3/6 - z**2/6 - 3*z/2 + 3/2.
(z - 3)*(z - 1)*(z + 3)/6
Factor -3*s**2/4 - 33*s/2 - 63/4.
-3*(s + 1)*(s + 21)/4
Factor -3*f**3/5 - 39*f**2/5 + 3*f/5 + 39/5.
-3*(f - 1)*(f + 1)*(f + 13)/5
Factor -y**2 - 846*y - 178929.
-(y + 423)**2
Solve 4*o**4/3 + 56*o**3/3 + 244*o**2/3 + 112*o + 48 = 0.
-6, -1
Factor -m**4/4 - 19*m**3/2 - 57*m**2 + 638*m - 968.
-(m - 4)*(m - 2)*(m + 22)**2/4
Suppose -c**5/2 + 6*c**4 + 27*c**3/2 - 243*c**2 = 0. Calculate c.
-6, 0, 9
Factor 13*p**4/3 + 21*p**3 - 88*p**2/3 + 4*p.
p*(p - 1)*(p + 6)*(13*p - 2)/3
Factor -2*s**3/13 + 384*s**2/13 - 24576*s/13 + 524288/13.
-2*(s - 64)**3/13
Find x such that -x**2/8 + 123*x - 30258 = 0.
492
Determine z so that -z**4/5 + 9*z**3/5 - 29*z**2/5 + 39*z/5 - 18/5 = 0.
1, 2, 3
Find q, given that 8*q**2 - 56*q/3 + 98/9 = 0.
7/6
Solve 2*m**2/7 + 146*m/7 = 0.
-73, 0
Factor 3*f**2/8 - 249*f/4 - 501/8.
3*(f - 167)*(f + 1)/8
Factor 27*o**4/8 - 909*o**3/2 - 1221*o**2/2 - 204*o.
3*o*(o - 136)*(3*o + 2)**2/8
Find w such that 242*w**3/3 + 572*w**2/3 + 184*w/3 + 16/3 = 0.
-2, -2/11
Find r such that -2*r**2 + 410*r + 412 = 0.
-1, 206
Solve -2*k**2/9 - 1580*k/9 = 0.
-790, 0
Let -2*y**2 + 244*y - 7442 = 0. Calculate y.
61
Factor 4*v**3 + 1908*v**2 - 1912*v.
4*v*(v - 1)*(v + 478)
Let 4*p**2 + 144*p + 1296 = 0. Calculate p.
-18
Factor -3*y**2 - 399*y + 402.
-3*(y - 1)*(y + 134)
Factor 2*w**2 - 44*w - 208.
2*(w - 26)*(w + 4)
Determine m, given that -48*m**2 + 105*m/2 - 9/2 = 0.
3/32, 1
Factor -2*k**2 - 134*k - 1632.
-2*(k + 16)*(k + 51)
Factor b**3/8 - 3*b**2/4 + 9*b/8 - 1/2.
(b - 4)*(b - 1)**2/8
Determine f so that 22*f**4 - 250*f**3 - 176*f**2 + 96*f = 0.
-1, 0, 4/11, 12
Find d, given that 2*d**3 - 30*d**2 + 88*d = 0.
0, 4, 11
Suppose -2*n**4/7 + 18*n**2/7 + 8*n/7 - 24/7 = 0. What is n?
-2, 1, 3
Let -5*g**4 + 5*g**3 + 50*g**2 + 40*g = 0. Calculate g.
-2, -1, 0, 4
Let -27*h**4 + 252*h**3 - 300*h**2 + 96*h = 0. Calculate h.
0, 2/3, 8
Let 3*b**2/7 + 510*b/7 + 21675/7 = 0. What is b?
-85
Suppose -3*i**5/5 