11 - 78*y**3/11 - 634*y**2/11 + 540*y/11 + 144/11 = 0. Calculate y.
-4, -3/14, 1, 6
What is g in -3*g**3 - 14*g**2 + 23*g - 6 = 0?
-6, 1/3, 1
Factor 4*q**3 + 12*q**2 - 24*q - 32.
4*(q - 2)*(q + 1)*(q + 4)
Solve 20*p**4 + 1735*p**3 + 50025*p**2 + 475165*p - 121945 = 0 for p.
-29, 1/4
Suppose 2*q**3/11 - 30*q**2/11 = 0. Calculate q.
0, 15
Determine q so that -2*q**4/7 + 216*q**3/7 - 698*q**2 - 52200*q/7 - 6728 = 0.
-7, -1, 58
Let -2*c**5 + 8*c**4 + 102*c**3 + 172*c**2 + 80*c = 0. Calculate c.
-4, -1, 0, 10
Factor k**5 - 1086*k**4 + 294849*k**3.
k**3*(k - 543)**2
Find m, given that -4*m**2/7 - 20*m/7 + 96/7 = 0.
-8, 3
Solve r**3/6 - 463*r**2/6 + 55615*r/6 - 154587/2 = 0 for r.
9, 227
Determine b, given that 2*b**3/7 - 6*b**2/7 - 8*b/7 = 0.
-1, 0, 4
Solve -11*d**5 - 108*d**4 - 189*d**3 + 368*d**2 - 60*d = 0 for d.
-6, -5, 0, 2/11, 1
Determine r, given that 3*r**5 + 9*r**4 - 6*r**3 - 36*r**2 - 24*r = 0.
-2, -1, 0, 2
Factor -4*o**2 + 3776*o - 891136.
-4*(o - 472)**2
Solve 2*o**5/7 - 62*o**4/7 - 66*o**3/7 + 62*o**2/7 + 64*o/7 = 0 for o.
-1, 0, 1, 32
Find z, given that 3*z**2 - 5691*z + 5688 = 0.
1, 1896
Find p, given that 2*p**5 - 40*p**4 + 156*p**3 + 440*p**2 + 242*p = 0.
-1, 0, 11
Find g, given that -5*g**5 - 55*g**4 - 195*g**3 - 185*g**2 + 200*g + 240 = 0.
-4, -3, -1, 1
Factor -w**4/3 + 4*w**3/3 + 10*w**2/3 - 28*w/3 + 5.
-(w - 5)*(w - 1)**2*(w + 3)/3
Find r such that r**2/10 + 422*r/5 - 846/5 = 0.
-846, 2
Suppose b**5 + 9*b**4 + 32*b**3 + 56*b**2 + 48*b + 16 = 0. What is b?
-2, -1
Factor i**3/7 + 71*i**2/7 + 138*i/7.
i*(i + 2)*(i + 69)/7
Find r such that -4*r**4 - 123*r**3 - 189*r**2 + 403*r - 87 = 0.
-29, -3, 1/4, 1
Solve 12*z**3 - 184*z**2 - 640*z + 1152 = 0 for z.
-4, 4/3, 18
Factor 4*y**3 - 300*y**2 + 1872*y + 2176.
4*(y - 68)*(y - 8)*(y + 1)
Factor -15*o**3 - 1503*o**2 + 1212*o.
-3*o*(o + 101)*(5*o - 4)
Factor 2*b**4/7 - 6*b**3/7 + 6*b**2/7 - 2*b/7.
2*b*(b - 1)**3/7
Let 2*u**2/21 - 34*u/21 = 0. Calculate u.
0, 17
Find q, given that -3*q**2 - 24*q - 21 = 0.
-7, -1
Solve 5*s**3 + 945*s**2 - 1905*s + 955 = 0 for s.
-191, 1
Factor 4*g**5 - 24*g**4 - 144*g**3 - 160*g**2.
4*g**2*(g - 10)*(g + 2)**2
Find c such that 2*c**2 - 74*c = 0.
0, 37
Determine z so that 3*z**2 + 1806*z + 3600 = 0.
-600, -2
Suppose g**4/3 - 2*g**3 + 3*g**2 = 0. Calculate g.
0, 3
Let 3*s**2 + 43*s + 14 = 0. What is s?
-14, -1/3
Factor p**4/3 + 17*p**3 + 270*p**2 + 972*p - 5832.
(p - 3)*(p + 18)**3/3
Determine n, given that n**3/5 - 37*n**2/5 + 448*n/5 - 1764/5 = 0.
9, 14
Factor 2*d**2/5 - 316*d/5 + 12482/5.
2*(d - 79)**2/5
Solve -3*o**2 - 7818*o - 5093427 = 0 for o.
-1303
Suppose 5*p**4 - 390*p**3 + 1140*p**2 - 1130*p + 375 = 0. Calculate p.
1, 75
Determine c, given that 2*c**4 - 8*c**3 - 564*c**2 + 1144*c + 40898 = 0.
-11, 13
Let -m**5/4 + 21*m**4/4 - 99*m**3/4 - 121*m**2/4 = 0. Calculate m.
-1, 0, 11
Determine y, given that 87*y**2 + 10011*y + 690 = 0.
-115, -2/29
Factor 196*v**4 + 49280*v**3 + 3083488*v**2 - 1774080*v + 254016.
4*(v + 126)**2*(7*v - 2)**2
Solve 2*a**2/11 + 70*a/11 + 68/11 = 0.
-34, -1
Suppose 5*i**4 - 9830*i**3 + 4821605*i**2 + 9672720*i + 4841280 = 0. What is i?
-1, 984
Factor 5*x**4 - 17*x**3 - 2984*x**2 + 1196*x.
x*(x - 26)*(x + 23)*(5*x - 2)
Suppose -20*u**2 - 145*u + 120 = 0. Calculate u.
-8, 3/4
Find s, given that -2*s**2/19 - 84*s/19 = 0.
-42, 0
Factor -4*l**2/3 - 6368*l/3 + 2124.
-4*(l - 1)*(l + 1593)/3
Let -5*d**5 + 70*d**4 - 225*d**3 - 280*d**2 + 980*d = 0. Calculate d.
-2, 0, 2, 7
Factor -l**4/4 + 19*l**3/2 + 10*l**2 - 19*l/2 - 39/4.
-(l - 39)*(l - 1)*(l + 1)**2/4
Find l, given that -2*l**3/5 - 18*l**2/5 + 4*l = 0.
-10, 0, 1
Factor -y**5/6 + 7*y**4/6 + 9*y**3/2 + 29*y**2/6 + 5*y/3.
-y*(y - 10)*(y + 1)**3/6
Find c such that -c**5/5 + c**4/5 + 16*c**3/5 - 16*c**2/5 = 0.
-4, 0, 1, 4
Factor -2*j**3/11 + 3572*j**2/11.
-2*j**2*(j - 1786)/11
Factor a**4/3 - 10*a**3 - 271*a**2/3 + 3184*a + 3264.
(a - 24)**2*(a + 1)*(a + 17)/3
Suppose 3*s**5 - 39*s**4 - 195*s**3 - 165*s**2 + 192*s + 204 = 0. Calculate s.
-2, -1, 1, 17
Factor -2*n**3/7 - 82*n**2/7 - 150*n/7 + 234/7.
-2*(n - 1)*(n + 3)*(n + 39)/7
Factor 25*y**2/2 - 95*y - 300.
5*(y - 10)*(5*y + 12)/2
Find h, given that 4*h**2 + 1360*h + 8016 = 0.
-334, -6
Let 9*z**2 + 21*z - 3528 = 0. What is z?
-21, 56/3
Factor -17294403*t**4/4 - 1411788*t**3 - 172872*t**2 - 9408*t - 192.
-3*(49*t + 4)**4/4
Let -2*n**5/15 + 952*n**4/15 - 7424*n**3 - 30720*n**2 = 0. What is n?
-4, 0, 240
Determine p, given that 2*p**2/5 + 86*p/5 - 376/5 = 0.
-47, 4
Factor -z**3/5 + 6*z**2/5 - 8*z/5.
-z*(z - 4)*(z - 2)/5
Factor 2*t**4/11 + 18*t**3/11 - 20*t**2/11.
2*t**2*(t - 1)*(t + 10)/11
Factor 2*j**2/5 - 14*j/5 + 12/5.
2*(j - 6)*(j - 1)/5
Suppose -h**2 - 168*h + 169 = 0. Calculate h.
-169, 1
Factor 2*g**3/3 - 8*g**2/3 + 10*g/3 - 4/3.
2*(g - 2)*(g - 1)**2/3
Factor -38*t**2 - 118*t - 12.
-2*(t + 3)*(19*t + 2)
What is s in 3*s**3 - 2934*s**2 + 717363*s = 0?
0, 489
Determine v, given that -2*v**3/3 - 14*v**2 = 0.
-21, 0
Find h such that 8*h**3 + 977*h**2 + 29890*h + 3721 = 0.
-61, -1/8
Determine q, given that -q**3/2 + 5*q**2/2 + q/2 - 5/2 = 0.
-1, 1, 5
Determine q, given that -2*q**5/9 - 10*q**4/9 + 50*q**3/9 + 10*q**2/9 - 16*q/3 = 0.
-8, -1, 0, 1, 3
Factor 2*w**4/3 + 2*w**3/3 - 34*w**2/3 + 10*w.
2*w*(w - 3)*(w - 1)*(w + 5)/3
Factor 8*x**2/11 - 10*x/11 - 42/11.
2*(x - 3)*(4*x + 7)/11
Determine t so that 4*t**4/3 - 16*t**3 - 56*t**2/3 + 16*t + 52/3 = 0.
-1, 1, 13
Find n such that 15*n**3 - 833*n**2 + 1761*n/4 - 55/4 = 0.
1/30, 1/2, 55
Solve -5*t**5 - 25*t**4 + 100*t**2 + 80*t = 0.
-4, -2, -1, 0, 2
Suppose i**3/4 - 31*i**2/2 + 121*i/4 - 15 = 0. What is i?
1, 60
Factor n**5 + 104*n**4 + 3673*n**3 + 46342*n**2 + 82076*n + 39304.
(n + 1)**2*(n + 34)**3
Factor 4*o**2 + 120*o - 2944.
4*(o - 16)*(o + 46)
Factor -t**2/4 - 109*t/2.
-t*(t + 218)/4
Factor q**3/3 - 65*q**2 + 129*q - 193/3.
(q - 193)*(q - 1)**2/3
Find y, given that -45*y**4 + 115*y**3 + 60*y**2 - 180*y - 80 = 0.
-1, -4/9, 2
What is b in -4*b**4 - b**3 + 12*b**2 + 11*b + 2 = 0?
-1, -1/4, 2
Factor n**2/3 + 2*n + 3.
(n + 3)**2/3
Factor 3*o**2/4 + 489*o/2 + 79707/4.
3*(o + 163)**2/4
Factor -m**5 - 3*m**4 + 7*m**3 + 7*m**2 - 18*m + 8.
-(m - 1)**3*(m + 2)*(m + 4)
Factor 5*m**2 + 24570*m + 24565.
5*(m + 1)*(m + 4913)
Find f, given that 4*f**3 - 388*f**2 + 8800*f + 30000 = 0.
-3, 50
Determine j so that -2*j**2/7 + 158*j/7 - 3008/7 = 0.
32, 47
Determine l so that -1500*l**5 - 7500*l**4 + 21405*l**3 - 246*l**2 - 20553*l + 7098 = 0.
-7, -1, 2/5, 13/10
Solve -3*m**4/4 - 13*m**3/2 - 79*m**2/4 - 24*m - 9 = 0.
-3, -2, -2/3
Let 2*o**5 + 24*o**4 - 32*o**3 - 76*o**2 + 30*o + 52 = 0. Calculate o.
-13, -1, 1, 2
Determine m so that m**4 - 3*m**3 - 17*m**2 + 39*m - 20 = 0.
-4, 1, 5
Determine g, given that 2*g**4 - 8*g**3 + 6*g**2 = 0.
0, 1, 3
Factor -z**2/8 + 97*z/8 - 115/2.
-(z - 92)*(z - 5)/8
Let -l**5/6 - 2*l**4/3 - l**3/2 + 2*l**2/3 + 2*l/3 = 0. Calculate l.
-2, -1, 0, 1
Factor -3*k**2/4 + 45*k - 675.
-3*(k - 30)**2/4
Factor 5*a**2 + 2300*a + 264500.
5*(a + 230)**2
Factor -2*i**4 + 122*i**3 - 1656*i**2 + 7168*i - 5632.
-2*(i - 44)*(i - 8)**2*(i - 1)
Factor b**2/3 + 37*b/3 - 138.
(b - 9)*(b + 46)/3
Let -k**4/4 + 71*k**3/4 - 414*k**2 + 3024*k + 3456 = 0. What is k?
-1, 24
Factor -4*c**3 + 76*c**2.
-4*c**2*(c - 19)
Find r such that -10*r**5 + 145*r**4 + 320*r**3 - 6355*r**2 - 16280*r + 9680 = 0.
-4, 1/2, 11
Let n**3/2 - 9*n**2/2 - n/2 + 9/2 = 0. Calculate n.
-1, 1, 9
What is l in -5*l**3 + 45*l**2 - 90*l = 0?
0, 3, 6
Find l such that -3*l**5/4 - 57*l**4/2 + 1137*l**3/4 + 13020*l**2 - 26775*l + 13500 = 0.
-30, 1, 20
Factor -5*t**2 + 185*t + 190.
-5*(t - 38)*(t + 1)
Determine a so that 2*a**4/11 + 282*a**3/11 + 10080*a**2/11 + 9800*a/11 = 0.
-70, -1, 0
Factor -2*t**2/13 + 20*t/13 + 342/13.
-2*(t - 19)*(t + 9)/13
Solve -2*c**4/11 - 50*c**3/11 + 312*c**2/11 + 360*c/11 = 0 for c.
-30, -1, 0, 6
Find l such that l**2/7 - 5*l + 66/7 = 0.
2, 33
What is h in -60*h**5 - 172*h**4 + 384*h**3 + 1632*h**2 + 1216*h - 192 = 0?
-2, 2/15, 3
Factor 3*a**2/5 - 3*a/5 - 168/5.
3*(a - 8)*(a + 7)/5
Solve -4*h**4 + 156*h**3 + 1476*h**2 + 1316*h = 0 for h.
-7, -1, 0, 47
Solve 15*g**5 + 159*g**4 + 324*g**3 + 84*g**2 - 96*g = 0.
-8, -2, -1, 0, 2/5
Solve -g**5/6 + 23*g**3/2 - 4*g**2/3 - 178*g + 168 = 0 for g.
-6, 1, 4, 7
Factor v**3 