*4 + 12*s**3.
-s**3*(s + 12)*(3*s - 1)
Factor 49*c**5 + 235*c**4 + 391*c**3 + 253*c**2 + 28*c - 20.
(c + 1)**3*(c + 2)*(49*c - 10)
Factor 32*x**4 - 26*x**3 + 5*x**2.
x**2*(2*x - 1)*(16*x - 5)
Let 5*h**2 - 640*h - 645 = 0. Calculate h.
-1, 129
Factor 39*n**2/7 - 72*n/7 - 12/7.
3*(n - 2)*(13*n + 2)/7
Factor -q**3 - 32*q**2 - 227*q + 260.
-(q - 1)*(q + 13)*(q + 20)
Suppose -2*k**5 + 10*k**4 + 16*k**3 - 24*k**2 = 0. Calculate k.
-2, 0, 1, 6
Solve 3*i**2 - 45*i - 48 = 0.
-1, 16
Factor h**3/2 + 3*h**2/2 - 2*h.
h*(h - 1)*(h + 4)/2
Suppose -175*t**5 + 308715*t**4 - 26338*t**3 - 215268*t**2 + 105848*t - 14112 = 0. Calculate t.
-1, 2/7, 2/5, 1764
Factor x**2/10 + 11*x/5 + 12.
(x + 10)*(x + 12)/10
What is x in 2*x**5/7 - 34*x**4/7 - 50*x**3/7 + 250*x**2/7 + 48*x/7 - 216/7 = 0?
-3, -1, 1, 2, 18
Let -3*m**4/2 + 17*m**3/2 + 33*m**2/2 - 33*m/2 - 7 = 0. Calculate m.
-2, -1/3, 1, 7
Factor -2*l**5/19 - 108*l**4/19 - 1752*l**3/19 - 8080*l**2/19 - 768*l - 9216/19.
-2*(l + 2)**3*(l + 24)**2/19
Factor -3*c**2 + 3*c.
-3*c*(c - 1)
Factor -3*x**5/4 + 3*x**4 - 9*x**3/2 + 3*x**2 - 3*x/4.
-3*x*(x - 1)**4/4
Factor -5*b**4 - 95*b**3 - 625*b**2 - 1645*b - 1470.
-5*(b + 2)*(b + 3)*(b + 7)**2
Find h, given that h**2/8 + 31*h/4 - 63/8 = 0.
-63, 1
Factor -5*w**3 + 760*w**2 + 2345*w - 3100.
-5*(w - 155)*(w - 1)*(w + 4)
Let 4*w**3/13 + 50*w**2/13 - 88*w/13 - 56/13 = 0. What is w?
-14, -1/2, 2
Let -4*a**5/7 - 188*a**4/7 + 204*a**3/7 + 556*a**2/7 - 136*a + 384/7 = 0. What is a?
-48, -2, 1
Let -5*i**4 + 510*i**3 - 465*i**2 - 4100*i + 6060 = 0. Calculate i.
-3, 2, 101
Factor 4*r**3 - 20*r**2 - 176*r - 240.
4*(r - 10)*(r + 2)*(r + 3)
Factor p**4/4 - 3*p**3/2 - 15*p**2 - 34*p - 24.
(p - 12)*(p + 2)**3/4
Factor 5*u**2 - 45*u - 450.
5*(u - 15)*(u + 6)
Factor h**4/6 + h**3 + 11*h**2/6 + h.
h*(h + 1)*(h + 2)*(h + 3)/6
Factor 4*s**5 - 16*s**4 - 72*s**3 - 80*s**2 - 28*s.
4*s*(s - 7)*(s + 1)**3
Find z, given that 5*z**4 + 210*z**3 + 1985*z**2 - 4620*z + 2420 = 0.
-22, 1
Factor -2*c**2/3 - 494*c/3 - 164.
-2*(c + 1)*(c + 246)/3
Factor 2*l**4/3 + 40*l**3/3 + 34*l**2/3 - 76*l/3.
2*l*(l - 1)*(l + 2)*(l + 19)/3
Determine d so that -5*d**4 + 470*d**3 - 11045*d**2 = 0.
0, 47
What is u in -2*u**5 - 662*u**4 - 54444*u**3 + 56440*u**2 + 110224*u = 0?
-166, -1, 0, 2
Suppose -2*k**3/3 + 40*k**2/3 - 206*k/3 + 56 = 0. What is k?
1, 7, 12
Factor 2*f**5 - 34*f**3 + 72*f**2 - 40*f.
2*f*(f - 2)**2*(f - 1)*(f + 5)
Factor 5*i**5 + 20*i**4 - 50*i**3 - 140*i**2 - 75*i.
5*i*(i - 3)*(i + 1)**2*(i + 5)
Factor -2*s**3/15 + 4*s**2 + 66*s/5.
-2*s*(s - 33)*(s + 3)/15
Factor 3*v**3 - 33*v**2 + 24*v + 60.
3*(v - 10)*(v - 2)*(v + 1)
Let -5*d**5 - 75*d**4 - 240*d**3 + 320*d**2 = 0. Calculate d.
-8, 0, 1
Determine b, given that -5*b**4 + 235*b**3 - 1665*b**2 + 4185*b - 3510 = 0.
2, 3, 39
Let -2*q**5/5 - 12*q**4/5 + 14*q**3/5 = 0. Calculate q.
-7, 0, 1
Factor y**3/6 - y**2/2 - 5*y/3 + 4.
(y - 4)*(y - 2)*(y + 3)/6
Solve -3*o**3/2 - 2495*o**2/8 + 107*o/4 + 156 = 0.
-208, -2/3, 3/4
Suppose f**5/6 - 43*f**4/6 + 113*f**3/2 + 909*f**2/2 + 360*f - 864 = 0. Calculate f.
-3, 1, 24
Factor r**2/9 + 4*r/9.
r*(r + 4)/9
Let m**3 - 189*m**2 + 9024*m - 8836 = 0. What is m?
1, 94
Factor r**3 + 25*r**2 + 208*r + 576.
(r + 8)**2*(r + 9)
Factor -h**2/5 - 5*h - 46/5.
-(h + 2)*(h + 23)/5
Factor 10*x**3/7 + 254*x**2/7 + 100*x/7.
2*x*(x + 25)*(5*x + 2)/7
Factor 2*y**4 - 4*y**3 - 6*y**2 + 16*y - 8.
2*(y - 2)*(y - 1)**2*(y + 2)
Find j such that 2*j**2 + 2*j - 12 = 0.
-3, 2
What is t in 2*t**2/7 + 8*t/7 - 10/7 = 0?
-5, 1
Factor -2*n**2/3 - 8*n.
-2*n*(n + 12)/3
Suppose g**5/5 - 11*g**4/5 - 13*g**3/5 + 263*g**2/5 + 336*g/5 - 576/5 = 0. What is g?
-3, 1, 8
Factor 5*n**3 + 1100*n**2 + 1095*n.
5*n*(n + 1)*(n + 219)
Factor -4*t**3 - 2964*t**2 - 544608*t + 1660608.
-4*(t - 3)*(t + 372)**2
Let -k**4/5 - 47*k**3/5 - 95*k**2 + 375*k = 0. Calculate k.
-25, 0, 3
Let -26*j**3 - 66*j**2 - 40*j = 0. Calculate j.
-20/13, -1, 0
Factor 14*y**4 - 68*y**3 - 22*y**2 + 60*y.
2*y*(y - 5)*(y + 1)*(7*y - 6)
Factor 4*u**3 - 84*u**2 + 396*u + 484.
4*(u - 11)**2*(u + 1)
Suppose -2*w**5/5 + 5*w**4 + 44*w**3/5 - 28*w**2/5 = 0. Calculate w.
-2, 0, 1/2, 14
Factor -40*h**3 + 705*h**2 - 410*h - 255.
-5*(h - 17)*(h - 1)*(8*h + 3)
Let -3*y**3 - 96*y**2 - 399*y + 6498 = 0. Calculate y.
-19, 6
Factor 5*y**5 - 45*y**4 + 130*y**3 - 120*y**2.
5*y**2*(y - 4)*(y - 3)*(y - 2)
Factor -3*g**2 - 45*g - 78.
-3*(g + 2)*(g + 13)
Suppose f**4 + 11*f**3 + 26*f**2 + 16*f = 0. Calculate f.
-8, -2, -1, 0
Determine v so that 39*v**5 + 368*v**4/3 + 49*v**3/3 - 158*v**2 - 68*v/3 + 8/3 = 0.
-2, -2/9, 1/13, 1
Find c, given that -3*c**2 + 180*c - 2700 = 0.
30
Factor -3*t**3 - 792*t**2.
-3*t**2*(t + 264)
Suppose -14*z**5 - 10*z**4 + 32*z**3 - 8*z**2 = 0. Calculate z.
-2, 0, 2/7, 1
Factor -4*v**2 + 648*v + 652.
-4*(v - 163)*(v + 1)
Determine o, given that 3*o**4/5 - 3*o**2/5 = 0.
-1, 0, 1
Factor 5*l**3/4 - 69*l**2/4 + 53*l/2 + 6.
(l - 12)*(l - 2)*(5*l + 1)/4
Factor -5*d**2 + 108*d + 44.
-(d - 22)*(5*d + 2)
What is b in 2*b**3/15 + 22*b**2/5 - 100*b/3 - 416/5 = 0?
-39, -2, 8
Find y such that -5*y**5 + 80*y**4 + 270*y**3 + 280*y**2 + 95*y = 0.
-1, 0, 19
Factor -5*h**3 + 10*h**2 - 5*h.
-5*h*(h - 1)**2
Let 5*j**3 - 410*j**2 - 5*j + 410 = 0. Calculate j.
-1, 1, 82
Suppose -3*f**5 - 63*f**4 - 411*f**3 - 837*f**2 - 486*f = 0. What is f?
-9, -2, -1, 0
Factor -4*p**4 - 20*p**3 - 12*p**2 + 20*p + 16.
-4*(p - 1)*(p + 1)**2*(p + 4)
Solve i**2 - 69*i + 684 = 0 for i.
12, 57
Determine p so that -4*p**2/3 + 32*p/3 - 20 = 0.
3, 5
Determine h, given that -5*h**2 + 95*h - 420 = 0.
7, 12
Determine c, given that 564*c**5 - 15393*c**4 + 114441*c**3 - 127653*c**2 + 29055*c - 1014 = 0.
2/47, 1/4, 1, 13
Factor a**3/5 - 94*a**2/5 + 93*a/5.
a*(a - 93)*(a - 1)/5
Factor -5*j**4 - 15*j**3 - 5*j**2 + 15*j + 10.
-5*(j - 1)*(j + 1)**2*(j + 2)
Let t**5/2 - 9*t**4/2 + 9*t**3 + 2*t**2 - 12*t = 0. Calculate t.
-1, 0, 2, 6
Factor -u**4/12 + 11*u**2/6 + 2*u - 15/4.
-(u - 5)*(u - 1)*(u + 3)**2/12
Suppose 2*l**4/3 + 10*l**3/3 - 62*l**2/3 + 86*l/3 - 12 = 0. Calculate l.
-9, 1, 2
What is r in -4900*r**5 - 59640*r**4 - 186516*r**3 - 187472*r**2 - 28176*r - 1152 = 0?
-8, -2, -3/35
Factor -v**2 + 300*v - 22500.
-(v - 150)**2
Factor -7*k**3/5 - 33*k**2/5 + 52*k/5 - 12/5.
-(k - 1)*(k + 6)*(7*k - 2)/5
Solve -2*a**5/11 + 6*a**4/11 + 20*a**3/11 - 60*a**2/11 - 18*a/11 + 54/11 = 0 for a.
-3, -1, 1, 3
Factor i**5/4 - 3*i**4/4 - 29*i**3/2 + 39*i**2 + 126*i.
i*(i - 6)**2*(i + 2)*(i + 7)/4
Find v, given that 4*v**4 + 296*v**3 - 300*v**2 = 0.
-75, 0, 1
Determine r so that 5*r**4 + 25*r**3 - 65*r**2 + 35*r = 0.
-7, 0, 1
Factor -5*x**3 + 85*x**2 - 320*x + 240.
-5*(x - 12)*(x - 4)*(x - 1)
Solve -9*t**5 + 38*t**4 - 88*t**3/3 - 46*t**2/3 + 35*t/3 + 4 = 0.
-4/9, -1/3, 1, 3
Factor 3*k**3/4 + 21*k**2/8 + 3*k/4 - 9/8.
3*(k + 1)*(k + 3)*(2*k - 1)/8
Determine v so that 5*v**2 - 20 = 0.
-2, 2
Determine f, given that -6*f**5/7 - 2*f**4 + 2*f**3 + 30*f**2/7 - 16*f/7 - 8/7 = 0.
-2, -1/3, 1
Factor c**3 - 3*c + 2.
(c - 1)**2*(c + 2)
Factor 21*d**2 - 1368*d + 195.
3*(d - 65)*(7*d - 1)
Find r such that -4*r**5 - 96*r**4 + 96*r**3 + 2560*r**2 + 6336*r + 4608 = 0.
-24, -2, 6
Solve -3*a**4 + 18*a**3 + 45*a**2 + 24*a = 0.
-1, 0, 8
Factor 2*t**2/9 + 76*t/3 + 226/9.
2*(t + 1)*(t + 113)/9
Factor m**5 + 301*m**4 + 1779*m**3 + 2655*m**2.
m**2*(m + 3)**2*(m + 295)
Suppose 15*g**4 + 28*g**3 + 10*g**2 - 4*g - 1 = 0. What is g?
-1, -1/5, 1/3
Solve 2*o**4/19 + 202*o**3/19 + 200*o**2/19 = 0 for o.
-100, -1, 0
Factor -5*b**2 - 935*b - 1850.
-5*(b + 2)*(b + 185)
Let -c**5 - 91*c**4 - 2367*c**3 - 13617*c**2 - 27216*c - 15876 = 0. What is c?
-42, -3, -1
Factor 2*m**4/11 - 50*m**3/11 + 26*m**2 + 338*m/11.
2*m*(m - 13)**2*(m + 1)/11
What is u in -u**5/11 + 10*u**4/11 + 206*u**3/11 - 1664*u**2/11 - 6253*u/11 - 4394/11 = 0?
-13, -2, -1, 13
Let -d**4 - 64*d**3 - 1144*d**2 - 3840*d - 3600 = 0. What is d?
-30, -2
Factor -3*h**3/5 - 21*h**2/5 - 9*h - 27/5.
-3*(h + 1)*(h + 3)**2/5
Suppose 2*f**4/5 - 1124*f**3/5 - 2254*f**2/5 - 1128*f/5 = 0. What is f?
-1, 0, 564
Let -2*a**4 + 78*a**3/7 + 354*a**2 - 3850*a + 10584 = 0. Calculate a.
-108/7, 7
Let -2*b**4 - 1573*b**3 - 2355*b**2 + b + 785 = 0. Calculate b.
-785, -1, 1/2
Let -5*n**5 + 65*n**3 - 60*n**2 = 0. Calculate n.
-4, 0, 1, 3
Let 3*c**3 - 57*c**2 + 261*c - 351 