f**2/3 + 24*f = 0 for f.
0, 2/17, 9
Factor 3*i**4 - 114*i**3 + 963*i**2 + 2280*i + 1200.
3*(i - 20)**2*(i + 1)**2
Factor -y**3/9 + y**2/9 + 10*y/9 + 8/9.
-(y - 4)*(y + 1)*(y + 2)/9
Find d such that 5*d**4 + 92*d**3 + 111*d**2 - 140*d - 68 = 0.
-17, -2, -2/5, 1
Suppose 3*p**5/4 + 27*p**4/4 + 21*p**3/2 - 51*p**2/2 - 45*p/4 + 75/4 = 0. What is p?
-5, -1, 1
Factor 8*s**2 + 1201*s + 150.
(s + 150)*(8*s + 1)
Factor q**2/6 - 17*q/6 - 28.
(q - 24)*(q + 7)/6
Factor -2*d**3 - 164*d**2 - 1490*d - 3600.
-2*(d + 5)**2*(d + 72)
Factor w**4/4 + 27*w**3/8 + 57*w**2/8 + 11*w/4.
w*(w + 2)*(w + 11)*(2*w + 1)/8
Factor -y**4/2 - 6*y**3 - 9*y**2 + 70*y + 147/2.
-(y - 3)*(y + 1)*(y + 7)**2/2
Factor 3*s**5/8 - 9*s**3/8 + 3*s**2/4.
3*s**2*(s - 1)**2*(s + 2)/8
Find x, given that 2*x**5 - 850*x**4 + 90736*x**3 - 89888*x**2 = 0.
0, 1, 212
Determine z, given that 50653*z**3 + 28749*z**2 + 5439*z + 343 = 0.
-7/37
What is l in -2*l**5 + 16*l**4 + 8*l**3 - 64*l**2 = 0?
-2, 0, 2, 8
Find g such that -3*g**3 + 840*g**2 - 59631*g + 115926 = 0.
2, 139
Factor 3*y**3/2 + 33*y**2/2 - 63*y.
3*y*(y - 3)*(y + 14)/2
Factor k**5 - k**4 - 9*k**3 + 9*k**2.
k**2*(k - 3)*(k - 1)*(k + 3)
Determine i, given that -i**4/3 + 11*i**3/3 - 41*i**2/3 + 61*i/3 - 10 = 0.
1, 2, 3, 5
Solve -3*q**2 + 2802*q - 654267 = 0 for q.
467
Factor 5*w**3 - 165*w**2 + 460*w - 300.
5*(w - 30)*(w - 2)*(w - 1)
Solve -33*h**3/4 + 27*h**2/4 + 18*h + 3 = 0 for h.
-1, -2/11, 2
Factor 7*u**3 + 59*u**2 - 190*u + 88.
(u - 2)*(u + 11)*(7*u - 4)
Let 5*z**4 + 22*z**3 - 54*z + 27 = 0. What is z?
-3, 3/5, 1
Determine h so that h**3/2 - 73*h**2/2 + 1295*h/2 + 1369/2 = 0.
-1, 37
Determine l so that l**5/4 - 3*l**4/8 - 3*l**3/2 + 7*l**2/8 + 3*l/4 = 0.
-2, -1/2, 0, 1, 3
Factor j**3/7 - j**2 - 326*j/7 + 96.
(j - 21)*(j - 2)*(j + 16)/7
Factor 3*g**2 - 123*g + 120.
3*(g - 40)*(g - 1)
Factor -3*c**3 - 3420*c**2 - 1299600*c - 164616000.
-3*(c + 380)**3
Find v such that 41472*v**4 - 23616*v**3 + 4514*v**2 - 328*v + 8 = 0.
1/16, 2/9
Solve h**5/4 + 11*h**4/2 - 167*h**3/4 + 13*h**2 + 172*h + 112 = 0.
-28, -1, 4
Solve 7*q**4 - 23*q**3 + 18*q**2 = 0 for q.
0, 9/7, 2
Solve -2*z**5/15 - 272*z**4/5 - 808*z**3/15 + 2452*z**2/15 + 1358*z/5 + 1628/15 = 0.
-407, -1, 2
Determine x, given that 2*x**2 + 64*x - 136 = 0.
-34, 2
Factor 2*n**4/5 + 14568*n**3/5 + 26528328*n**2/5.
2*n**2*(n + 3642)**2/5
Factor -14*q**2 - 46*q + 60.
-2*(q - 1)*(7*q + 30)
Find g such that -50*g**5/3 + 280*g**4/3 - 134*g**3 - 92*g**2/3 + 448*g/3 - 64 = 0.
-1, 4/5, 2, 3
Factor -2*v**4/3 + 116*v**3 - 5046*v**2.
-2*v**2*(v - 87)**2/3
Suppose -3*u**3/5 + 9*u**2/5 + 6*u - 72/5 = 0. Calculate u.
-3, 2, 4
Suppose f**3/6 - 53*f**2/3 - 218*f/3 - 220/3 = 0. Calculate f.
-2, 110
Factor -3*u**2 + 411*u - 408.
-3*(u - 136)*(u - 1)
Let -2*r**4 + 4*r**3 + 74*r**2 + 164*r + 96 = 0. Calculate r.
-3, -2, -1, 8
Factor 5*x**4 + 580*x**3 - 625*x**2 - 4620*x + 7020.
5*(x - 2)**2*(x + 3)*(x + 117)
Factor c**3 + 14*c**2 + 40*c.
c*(c + 4)*(c + 10)
Solve w**3 - 7*w**2 - 21*w + 27 = 0.
-3, 1, 9
Solve -5*a**4 + 130*a**3 + 2765*a**2 - 9130*a + 6240 = 0 for a.
-16, 1, 2, 39
Factor -2*q**3 - 3*q**2 - q.
-q*(q + 1)*(2*q + 1)
Solve -2*o**2/13 + 3624*o/13 - 3622/13 = 0 for o.
1, 1811
Find z such that z**3 - 18*z**2 + 864 = 0.
-6, 12
Suppose -z**2/5 + 49*z/5 - 258/5 = 0. Calculate z.
6, 43
Let -5*u**5 - 215*u**4 - 610*u**3 - 400*u**2 = 0. What is u?
-40, -2, -1, 0
Suppose -a**2/7 - 498*a/7 = 0. What is a?
-498, 0
Factor 2*n**4 + 10*n**3 - 26*n**2 + 14*n.
2*n*(n - 1)**2*(n + 7)
Let 3*v**2 - 32*v/3 - 16/3 = 0. Calculate v.
-4/9, 4
Factor 4*j**3 - 4*j**2.
4*j**2*(j - 1)
Determine g so that -21*g**4 - 174*g**3 - 363*g**2 - 90*g = 0.
-5, -3, -2/7, 0
Factor i**3/4 + 41*i**2/4 - 273*i/4 + 423/4.
(i - 3)**2*(i + 47)/4
Factor y**5/2 - 2*y**4 - 41*y**3/2 + 118*y**2 - 88*y - 224.
(y - 4)**3*(y + 1)*(y + 7)/2
Find b such that -19*b**3/6 + 13*b**2/6 + b = 0.
-6/19, 0, 1
Find i such that 3*i**4 - 39*i**3 - 87*i**2 - 45*i = 0.
-1, 0, 15
Suppose 2*v**2/3 - 52*v/3 = 0. What is v?
0, 26
Factor 3*m**5 + 21*m**4 - 198*m**3 + 444*m**2 - 312*m.
3*m*(m - 2)**3*(m + 13)
Suppose -2*a**2 - 1024*a + 4128 = 0. What is a?
-516, 4
Determine i so that -i**4 + 25*i**3 - 216*i**2 + 704*i - 512 = 0.
1, 8
Let -4*d**4/3 + 14*d**3/3 - 6*d = 0. Calculate d.
-1, 0, 3/2, 3
Factor 4*n**2 - 32*n - 80.
4*(n - 10)*(n + 2)
Determine b so that 5*b**2 + 800*b - 805 = 0.
-161, 1
What is a in -a**3/3 + 52*a**2/3 - 676*a/3 = 0?
0, 26
Factor z**4/3 + 2*z**3/3 - z**2/3 - 2*z/3.
z*(z - 1)*(z + 1)*(z + 2)/3
What is k in 3*k**3/8 + 27*k**2/8 + 45*k/8 + 21/8 = 0?
-7, -1
Determine a so that 3*a**2 + 285*a - 2808 = 0.
-104, 9
Factor -g**3 + 92*g**2/7 - 167*g/7 + 22/7.
-(g - 11)*(g - 2)*(7*g - 1)/7
Factor 4*s**3 + 44*s**2 - 56*s - 96.
4*(s - 2)*(s + 1)*(s + 12)
Factor -3*o**4/2 + 309*o**3/2.
-3*o**3*(o - 103)/2
Determine m, given that 24*m**4 + 165*m**3 - 45*m**2 - 165*m + 21 = 0.
-7, -1, 1/8, 1
Suppose -10*o**5 + 175*o**4 - 840*o**3 + 895*o**2 + 80*o - 300 = 0. What is o?
-1/2, 1, 6, 10
Determine h, given that -81*h**2 + 69*h + 12 = 0.
-4/27, 1
Factor -3*y**4 - 1239*y**3 - 127305*y**2 + 128547*y.
-3*y*(y - 1)*(y + 207)**2
Suppose -6*r**3/5 + 63*r**2/5 - 126*r/5 + 48/5 = 0. Calculate r.
1/2, 2, 8
Factor -k**3 + 9*k**2 - 15*k + 7.
-(k - 7)*(k - 1)**2
Determine r, given that 3*r**3/2 - 63*r**2/2 + 30*r = 0.
0, 1, 20
Factor 3*n**4 + 10884*n**3 + 9893532*n**2 + 39443616*n + 39400128.
3*(n + 2)**2*(n + 1812)**2
Factor 5*q**2/7 + 20473*q/7 - 1170.
(q + 4095)*(5*q - 2)/7
Factor g**2/4 - 9.
(g - 6)*(g + 6)/4
Factor -3*s**2 - 21108*s - 37128972.
-3*(s + 3518)**2
Determine r, given that -2*r**4 + 72*r**3 + 404*r**2 + 264*r - 738 = 0.
-3, 1, 41
Suppose -3*s**2 + 567*s - 1122 = 0. What is s?
2, 187
Determine w, given that 3*w**3/2 + 1125*w**2/2 - 564*w = 0.
-376, 0, 1
Factor -3*i**3/2 + 75*i/2.
-3*i*(i - 5)*(i + 5)/2
Determine x, given that -3*x**5/2 + 3*x**4/2 + 39*x**3/2 - 3*x**2/2 - 72*x - 54 = 0.
-2, -1, 3
Determine b, given that -9*b**5/2 - 6*b**4 + 21*b**3/2 + 6*b**2 - 6*b = 0.
-2, -1, 0, 2/3, 1
Determine m so that -m**3/8 - 5*m**2/4 - 7*m/8 + 9/4 = 0.
-9, -2, 1
Factor 25*h**3 + 2245*h**2 - 2725*h + 455.
5*(h - 1)*(h + 91)*(5*h - 1)
Factor 2*g**2/7 - 116*g/7.
2*g*(g - 58)/7
Factor -3*h**4/8 + 3*h**3/2 - 9*h**2/8.
-3*h**2*(h - 3)*(h - 1)/8
Factor -m**2/2 + 75*m/2 + 117.
-(m - 78)*(m + 3)/2
Solve a**3 - 2*a**2 + a = 0.
0, 1
Factor 2*l**2/5 - 416*l/5.
2*l*(l - 208)/5
Factor -4*g**5 - 54500*g**4 - 297025000*g**3 - 809393125000*g**2 - 1102798132812500*g - 601024982382812500.
-4*(g + 2725)**5
Find d such that -2*d**5 - 56*d**4 - 368*d**3 + 640*d**2 + 3808*d - 6272 = 0.
-14, -4, 2
Factor j**3 + 5*j**2/4 - 4*j - 5.
(j - 2)*(j + 2)*(4*j + 5)/4
Factor 5*r**4 - 65*r**3 + 225*r**2 + 125*r - 1250.
5*(r - 5)**3*(r + 2)
Factor -15*g**2 + 1851*g - 2562.
-3*(g - 122)*(5*g - 7)
What is c in 2*c**2/7 + 24*c/7 + 40/7 = 0?
-10, -2
Factor 6*t**2/11 + 192*t/11 - 408/11.
6*(t - 2)*(t + 34)/11
Solve -5*v**4 + 105*v**2 + 100*v = 0.
-4, -1, 0, 5
Let 988418*g**2/3 + 1406*g/3 + 1/6 = 0. What is g?
-1/1406
Determine p so that -4*p**2 - 60*p = 0.
-15, 0
Suppose 2*z**4/7 - 18*z**3/7 + 4*z**2 = 0. Calculate z.
0, 2, 7
Determine m, given that -2*m**3/5 + 84*m**2/5 + 768*m/5 + 320 = 0.
-4, 50
Factor 5*h**3 + 10*h**2 - 40*h.
5*h*(h - 2)*(h + 4)
Factor -2*p**2/5 + 22*p/5 - 4.
-2*(p - 10)*(p - 1)/5
Suppose 81*a**3 + 1489*a**2/2 - 1429*a/6 - 19/3 = 0. Calculate a.
-19/2, -2/81, 1/3
Solve -n**3/2 + 9*n**2/2 + 870*n - 874 = 0 for n.
-38, 1, 46
Let -13*o**5/2 - 77*o**4/2 - 75*o**3 - 46*o**2 + 4*o = 0. Calculate o.
-2, 0, 1/13
Solve 3*l**2 - 16194*l + 21853803 = 0 for l.
2699
Factor -q**2/6 - 29*q/3 - 841/6.
-(q + 29)**2/6
Factor x**3 + 7*x**2/3 + 2*x/3.
x*(x + 2)*(3*x + 1)/3
Find v such that -v**4 - 56*v**3 - 838*v**2 - 1512*v - 729 = 0.
-27, -1
Let m**3/7 - 93*m**2/7 + 2883*m/7 - 29791/7 = 0. Calculate m.
31
Factor -4*j**2 - 952*j - 56644.
-4*(j + 119)**2
What is f in 1000*f**5 + 9900*f**4 + 23920*f**3 - 3288*f**2 - 1880*f + 300 = 0?
-5, -3/10, 1/5
Factor 7*x**2/3 + 31*x/3 + 4.
(x + 4)*(7*x + 3)/3
Let -50*a**4/3 - 206*a**3/3 - 274*a**2/3 - 130*a/3 - 4 = 0. What is a?
-2, -1, -3/25
Let 668*q**3 - 1344*q**2 + 16*q = 0. Calculate q.
0, 2/167, 2
Factor -5*x**2 - 220*x + 460.
-5*(x - 2)*(x + 46)
Determine z, given that