 485)*(n - 1)/4
Find t such that -4*t**5/3 - 28*t**4/3 - 20*t**3 - 20*t**2/3 + 64*t/3 + 16 = 0.
-3, -2, -1, 1
Find s such that -2*s**3/15 + 2*s**2/3 + 352*s/15 = 0.
-11, 0, 16
Factor f**2/3 + 11*f/3 + 8.
(f + 3)*(f + 8)/3
Factor 2*k**5/5 + 14*k**4/5 - 12*k**3/5 - 68*k**2/5 + 106*k/5 - 42/5.
2*(k - 1)**3*(k + 3)*(k + 7)/5
Suppose -2*d**3/9 - 586*d**2/9 + 1178*d/9 - 590/9 = 0. What is d?
-295, 1
Find g, given that -60*g**5 - 816*g**4 - 1779*g**3 - 669*g**2 + 276*g + 132 = 0.
-11, -2, -1/2, 2/5
Factor -h**4 - 24*h**3 - 66*h**2 - 64*h - 21.
-(h + 1)**3*(h + 21)
Find n, given that -n**5 + 19*n**3 + 34*n**2 - 12*n - 40 = 0.
-2, 1, 5
Let 3*g**4/2 - 339*g**3/2 - 702*g**2 = 0. What is g?
-4, 0, 117
Solve -3*h**2 - 156*h - 153 = 0 for h.
-51, -1
Factor -5*k**3 + 125*k**2 + 265*k + 135.
-5*(k - 27)*(k + 1)**2
Let 15*j**4 + 24*j**3 - 252*j**2 - 384*j + 192 = 0. What is j?
-4, -2, 2/5, 4
Suppose w**5 - 14*w**4 + 32*w**3 + 128*w**2 = 0. What is w?
-2, 0, 8
Suppose -4*q**3/5 + 1948*q**2/5 = 0. What is q?
0, 487
Factor 2*b**5 + 344*b**4 - 1044*b**3 + 1048*b**2 - 350*b.
2*b*(b - 1)**3*(b + 175)
Factor -2*o**3 + 10*o**2 - 8*o.
-2*o*(o - 4)*(o - 1)
Let q**3/7 - 8*q**2/7 + 9*q/7 + 18/7 = 0. Calculate q.
-1, 3, 6
Factor -k**3/3 - 290*k**2 - 84100*k - 24389000/3.
-(k + 290)**3/3
Factor -3*t**4 - 6*t**3 + 252*t**2 - 570*t - 825.
-3*(t - 5)**2*(t + 1)*(t + 11)
Factor 5*j**3/2 - 595*j**2 - 2395*j/2 - 600.
5*(j - 240)*(j + 1)**2/2
Solve -o**3/5 + 3*o**2/5 = 0.
0, 3
Determine m so that 2*m**5 + 12*m**4 + 14*m**3 - 12*m**2 - 16*m = 0.
-4, -2, -1, 0, 1
Let -7*h**4 - 9*h**3 - 2*h**2 = 0. Calculate h.
-1, -2/7, 0
Determine d, given that -d**5/2 + 11*d**4 - 44*d**3 + 21*d**2 + 153*d/2 = 0.
-1, 0, 3, 17
Determine p so that -4*p**5/5 + 96*p**4/5 - 176*p**3/5 - 5496*p**2/5 + 36*p + 1080 = 0.
-6, -1, 1, 15
Solve 8*d**5 + 4*d**4 - 24*d**3 + 4*d**2 + 8*d = 0.
-2, -1/2, 0, 1
Factor v**2/4 - 4*v + 16.
(v - 8)**2/4
Factor r**4/5 + 800*r**3 + 4003998*r**2/5 + 1599200*r + 3996001/5.
(r + 1)**2*(r + 1999)**2/5
Factor m**3 + 57*m**2 + 162*m.
m*(m + 3)*(m + 54)
Let -s**4/2 + 42*s**3 - 325*s**2/2 + 201*s - 80 = 0. Calculate s.
1, 2, 80
Factor -r**2 - 16*r - 28.
-(r + 2)*(r + 14)
Factor 5*o**3 + 180*o**2 + 345*o + 170.
5*(o + 1)**2*(o + 34)
Let -245*h**4 - 1645*h**3 + 2445*h**2 - 595*h + 40 = 0. What is h?
-8, 1/7, 1
Factor 5*d**2 + 15*d - 20.
5*(d - 1)*(d + 4)
Factor -s**4 - 12*s**3 + 29*s**2 + 228*s + 260.
-(s - 5)*(s + 2)**2*(s + 13)
Factor -a**3/5 + 4*a**2/5.
-a**2*(a - 4)/5
Factor 15*f**3 + 144*f**2 + 180*f - 96.
3*(f + 2)*(f + 8)*(5*f - 2)
Solve 3*u**5/7 - 48*u**4/7 + 225*u**3/7 - 324*u**2/7 = 0 for u.
0, 3, 4, 9
Factor 2*y**2/3 + 3236*y + 3926886.
2*(y + 2427)**2/3
Factor -m**2/4 - 57*m + 2629/4.
-(m - 11)*(m + 239)/4
Factor 2*h**4 + 18*h**3 + 54*h**2 + 54*h.
2*h*(h + 3)**3
Factor -5*n**5 - 35*n**4 - 15*n**3 + 115*n**2 + 160*n + 60.
-5*(n - 2)*(n + 1)**3*(n + 6)
Suppose -4*j**2/5 + 1108*j/5 = 0. What is j?
0, 277
Factor -3*b**2/2 + 3*b/2.
-3*b*(b - 1)/2
Find t, given that -28*t**3/3 + 208*t**2 - 2864*t/3 + 256 = 0.
2/7, 6, 16
Factor -3*l**3 - 48*l**2 + 231*l - 180.
-3*(l - 3)*(l - 1)*(l + 20)
Factor -5*u**2 - 130*u - 125.
-5*(u + 1)*(u + 25)
Determine q, given that -q**2/4 - 11*q/4 - 7 = 0.
-7, -4
Solve 9*y**4 + 21*y**3 - 27*y**2 - 21*y + 18 = 0.
-3, -1, 2/3, 1
Factor -i**2/5 - 651*i/5 - 1944/5.
-(i + 3)*(i + 648)/5
Factor -2*x**2/3 - 12*x + 416/3.
-2*(x - 8)*(x + 26)/3
Solve -w**2 + 2651*w - 2650 = 0.
1, 2650
Factor -p**2/5 - 32*p/5 - 31/5.
-(p + 1)*(p + 31)/5
Find z, given that -2*z**5 + 2*z**3 = 0.
-1, 0, 1
Find a such that 2*a**2/7 + 5930*a/7 + 5928/7 = 0.
-2964, -1
Find u such that -2*u**2 - 36*u + 2288 = 0.
-44, 26
Factor -5*h**2/4 - 595*h - 2375/4.
-5*(h + 1)*(h + 475)/4
Let c**3/4 - 7*c**2/4 - c/4 + 7/4 = 0. Calculate c.
-1, 1, 7
Solve 2*d**2/13 + 6*d/13 - 108/13 = 0 for d.
-9, 6
What is g in -2*g**3 + 5276*g**2 - 3484792*g + 6948496 = 0?
2, 1318
Find w, given that 3*w**2 - 132*w + 1089 = 0.
11, 33
Suppose 4*k**5 - 256*k**4 + 3168*k**3 + 108416*k**2 - 3151808*k + 22488576 = 0. What is k?
-24, 22
Factor 2*b**2/11 + 14*b/11 - 240/11.
2*(b - 8)*(b + 15)/11
What is g in -g**2 - 60*g - 779 = 0?
-41, -19
Factor 3*l**5/5 + l**4 - 2*l**3/5 - 6*l**2/5 - l/5 + 1/5.
(l - 1)*(l + 1)**3*(3*l - 1)/5
Let -5*y**5 + 10*y**4 + 40*y**3 = 0. What is y?
-2, 0, 4
Suppose -27*w**5 + 1038*w**4 - 14415*w**3 + 86232*w**2 - 199836*w + 73008 = 0. What is w?
4/9, 6, 13
Factor 19*v**3/5 - 12*v**2 - 67*v/5 + 12/5.
(v - 4)*(v + 1)*(19*v - 3)/5
Factor -4*p**4/7 + 4*p**2 + 24*p/7.
-4*p*(p - 3)*(p + 1)*(p + 2)/7
Find i, given that 63*i**5 - 31*i**4 - 3430*i**3 + 7340*i**2 + 4392*i + 576 = 0.
-8, -2/7, -2/9, 3, 6
Determine q, given that -2*q**4/5 + 8*q**3 - 102*q**2/5 - 1008*q/5 - 864/5 = 0.
-3, -1, 12
Suppose 4*v**3 + 38*v**2 + 74*v + 28 = 0. Calculate v.
-7, -2, -1/2
Factor -k**2/4 - 3*k/4 - 1/2.
-(k + 1)*(k + 2)/4
Find j, given that -j**5/2 - 121*j**4 - 15109*j**3/2 - 27838*j**2 + 30226*j + 113288 = 0.
-119, -4, -2, 2
Suppose -i**5 - 21*i**4 - 137*i**3 - 279*i**2 - 162*i = 0. Calculate i.
-9, -2, -1, 0
Factor 3*f**3 + 57*f**2 - 732*f + 672.
3*(f - 8)*(f - 1)*(f + 28)
Factor -n**4/5 - 42*n**3/5 + 132*n**2/5 - 134*n/5 + 9.
-(n - 1)**3*(n + 45)/5
Solve -4*x**5/9 + 16*x**4/3 + 8*x**3 - 272*x**2/9 + 52*x/3 = 0.
-3, 0, 1, 13
Find q, given that q**3/5 - 24*q**2/5 - 5*q = 0.
-1, 0, 25
Factor l**5/3 - 5*l**4/3 + 8*l**3/3 - 4*l**2/3.
l**2*(l - 2)**2*(l - 1)/3
Determine j so that j**3 + 9*j**2 + 27*j + 27 = 0.
-3
Determine j so that 5*j**5 - 580*j**4 + 1105*j**3 + 3970*j**2 + 2280*j = 0.
-1, 0, 4, 114
Determine w so that -2*w**2/3 + 2*w + 8/3 = 0.
-1, 4
Factor -2*x**2/3 - 28*x/3 + 34.
-2*(x - 3)*(x + 17)/3
Find k, given that 3*k**2/2 - 4926*k + 4044246 = 0.
1642
Determine r, given that 4*r**2 - 2692*r = 0.
0, 673
Determine s, given that -2*s**2/9 + 44*s + 560 = 0.
-12, 210
Solve -p**5 + 14*p**4 + 51*p**3 + 4*p**2 - 68*p = 0 for p.
-2, 0, 1, 17
Factor 8*v**2/5 - 2598*v/5 - 130.
2*(v - 325)*(4*v + 1)/5
Suppose -2*t**2/7 + 16*t - 768/7 = 0. What is t?
8, 48
Factor -t**2/3 + 82*t/3 - 1681/3.
-(t - 41)**2/3
Factor -o**3/5 - 14*o**2/5 + 32*o/5.
-o*(o - 2)*(o + 16)/5
Determine y so that 5*y**4 + 100*y**3 - 225*y**2 - 100*y + 220 = 0.
-22, -1, 1, 2
Find u, given that 18*u**5 + 138*u**4 - 424*u**3 + 384*u - 160 = 0.
-10, -1, 2/3, 2
Factor -q**3/2 - 90*q**2 - 1053*q/2 - 783.
-(q + 3)**2*(q + 174)/2
Solve -2*r**4/15 + 10*r**3/3 - 208*r**2/15 + 32*r/3 = 0.
0, 1, 4, 20
Factor 244*z**2 - 8*z.
4*z*(61*z - 2)
Factor 15*p**4 + 144*p**3 - 60*p**2.
3*p**2*(p + 10)*(5*p - 2)
Determine x so that 3*x**3/7 - 21654*x**2/7 + 52099524*x/7 - 41783818248/7 = 0.
2406
What is u in -805*u**2 - 15*u = 0?
-3/161, 0
Factor -g**2 + 58*g + 59.
-(g - 59)*(g + 1)
Suppose -2*l**2 - 8*l = 0. Calculate l.
-4, 0
Let -a**2/5 - 27*a/5 - 26/5 = 0. Calculate a.
-26, -1
Suppose 2*x**2/7 - 660*x/7 + 54450/7 = 0. Calculate x.
165
What is h in 2*h**3/13 + 32*h**2/13 + 18*h/13 - 180/13 = 0?
-15, -3, 2
Solve -2*q**5/9 + 2*q**3/3 + 4*q**2/9 = 0 for q.
-1, 0, 2
What is n in n**5/6 - n**4/3 - n**3/2 + 2*n**2/3 + 2*n/3 = 0?
-1, 0, 2
Determine a, given that 3*a**4/5 - 117*a**3/5 + 108*a**2/5 + 228*a/5 = 0.
-1, 0, 2, 38
Factor -n**3 - 131*n**2 - 4355*n - 4225.
-(n + 1)*(n + 65)**2
Suppose u**4/8 - 63*u**3/4 + 1185*u**2/8 - 725*u/2 = 0. What is u?
0, 5, 116
Factor -3*h**4 - 9*h**3 + 21*h**2 + 45*h - 54.
-3*(h - 2)*(h - 1)*(h + 3)**2
Factor 4*i**4 - 20*i**3 - 4*i**2 + 20*i.
4*i*(i - 5)*(i - 1)*(i + 1)
Determine h so that 6*h**3/5 + 246*h**2/5 - 516*h/5 = 0.
-43, 0, 2
Find z, given that -2*z**2/13 - 34*z/13 + 220/13 = 0.
-22, 5
Factor 2*l**5/3 + 76*l**4/3 + 74*l**3/3.
2*l**3*(l + 1)*(l + 37)/3
Suppose p**5/5 + p**4 + 6*p**3/5 - 4*p**2/5 - 8*p/5 = 0. What is p?
-2, 0, 1
Factor -3*f**3/4 + 3*f**2 + 21*f/4 - 15/2.
-3*(f - 5)*(f - 1)*(f + 2)/4
Factor -4*d**3 - 296*d**2 - 860*d - 568.
-4*(d + 1)*(d + 2)*(d + 71)
Determine b so that -4*b**4/11 - 30*b**3/11 + 92*b**2/11 - 78*b/11 + 20/11 = 0.
-10, 1/2, 1
Factor -2*d**2 - 200*d - 392.
-2*(d + 2)*(d + 98)
Factor -729*q**3/2 - 783*q**2 - 110*q - 4.
-(q + 2)*(27*q + 2)**2/2
Let -4*z**5/5 + 76*z**4/5 + 264*z**3/5 + 16*z**2/5 - 352*z/5 = 0. Calculate z.
-2, 0, 1, 22
Suppose 8*i**3/7 + 110*i**2/7 + 332*i/7 - 90/7 = 0. Calculate i.
-9, -5