 - 30*b/7 + 104/7.
(b - 26)*(b - 4)/7
Let -5*f**4/2 - 51*f**3 + 65*f**2/2 + 21*f = 0. Calculate f.
-21, -2/5, 0, 1
Factor -l**2/2 + 111*l - 12321/2.
-(l - 111)**2/2
Factor 3*f**4/8 + 7*f**3/2 + 33*f**2/8 + f.
f*(f + 1)*(f + 8)*(3*f + 1)/8
Factor -588*k**4 + 290*k**3 + 2*k**2.
-2*k**2*(2*k - 1)*(147*k + 1)
Solve -3*o**3 + 1041*o**2 - 2073*o + 1035 = 0 for o.
1, 345
Solve -2*f**2 + 516*f - 3024 = 0.
6, 252
Let 5*d**2 + 1270*d + 80645 = 0. What is d?
-127
Factor -2*v**5/7 + 288*v**4/7 - 570*v**3/7 + 284*v**2/7.
-2*v**2*(v - 142)*(v - 1)**2/7
Determine d so that -80*d**5 - 200*d**4 + 475*d**3 - 50*d**2 - 125*d - 20 = 0.
-4, -1/4, 1
Suppose 28*o**5 - 316*o**4 + 88*o**3 = 0. Calculate o.
0, 2/7, 11
Find v such that 2*v**4/9 - 82*v**3/3 + 374*v**2 - 13706*v/9 + 1176 = 0.
1, 7, 108
Suppose -t**5/6 + 3*t**4/2 - 14*t**3/3 + 6*t**2 - 8*t/3 = 0. What is t?
0, 1, 2, 4
Solve -64*m**2 + 96*m - 36 = 0 for m.
3/4
Factor -5*s**3 - 730*s**2 - 26645*s.
-5*s*(s + 73)**2
Find m, given that -2*m**5 - 56*m**4 - 546*m**3 - 1908*m**2 + 648*m + 11664 = 0.
-9, -6, 2
Let -2*p**3 + 248*p**2 - 8160*p + 28800 = 0. What is p?
4, 60
Factor -a**3 - 8*a**2 + 9*a.
-a*(a - 1)*(a + 9)
Determine o, given that -2*o**5/11 - 12*o**4/11 + 2*o**3/11 + 60*o**2/11 = 0.
-5, -3, 0, 2
Find u, given that -2*u**2 - 50*u + 2652 = 0.
-51, 26
Factor -2*w**2/3 + 2*w/3 + 28.
-2*(w - 7)*(w + 6)/3
Let -3*k**5 - 39*k**4 - 192*k**3 - 444*k**2 - 480*k - 192 = 0. What is k?
-4, -2, -1
Factor 2*p**5/19 - 52*p**4/19 + 482*p**3/19 - 1872*p**2/19 + 2592*p/19.
2*p*(p - 9)**2*(p - 4)**2/19
Let 2*w**5 + 6*w**4 - 36*w**3 - 64*w**2 + 192*w = 0. Calculate w.
-4, 0, 2, 3
Find u such that 5*u**5/4 - 21*u**4/2 + 34*u**3 - 52*u**2 + 36*u - 8 = 0.
2/5, 2
Factor 5*a**5 - 70*a**4 + 270*a**3 - 440*a**2 + 325*a - 90.
5*(a - 9)*(a - 2)*(a - 1)**3
Determine v, given that -2*v**3/9 + 556*v**2/9 + 1130*v/3 + 568 = 0.
-3, 284
Factor -4*w**3 + 112*w**2 + 236*w + 120.
-4*(w - 30)*(w + 1)**2
Factor t**3/5 - 8*t**2/5 - 37*t/5 + 44/5.
(t - 11)*(t - 1)*(t + 4)/5
Factor 3*s**2 - 60*s + 108.
3*(s - 18)*(s - 2)
Factor -d**3/4 - 8*d**2 - 89*d/4 - 29/2.
-(d + 1)*(d + 2)*(d + 29)/4
Determine h so that -3*h**3/5 - 6396*h**2/5 + 12801*h/5 - 6402/5 = 0.
-2134, 1
Factor 2*r**2/9 + 40*r/9 + 182/9.
2*(r + 7)*(r + 13)/9
Determine b so that -b**5/3 - 368*b**4/3 + 739*b**3/3 - 370*b**2/3 = 0.
-370, 0, 1
Suppose -4*n**3 - 8*n**2 + 20*n + 24 = 0. What is n?
-3, -1, 2
Factor 3*t**3 + 90*t**2 + 537*t - 630.
3*(t - 1)*(t + 10)*(t + 21)
Factor k**2/8 - 3*k/2 + 4.
(k - 8)*(k - 4)/8
Factor 4*o**4 + 88*o**3 + 480*o**2 - 88*o - 484.
4*(o - 1)*(o + 1)*(o + 11)**2
Let -5*l**3 - 45*l**2 + 405*l - 675 = 0. What is l?
-15, 3
Let 4*c**5/7 + 12*c**4/7 - 8*c**3/7 - 48*c**2/7 - 32*c/7 = 0. What is c?
-2, -1, 0, 2
Find g, given that 36*g**5 + 420*g**4 - 608*g**3 + 208*g**2 = 0.
-13, 0, 2/3
Factor -2*r**3/3 - 14*r**2/9.
-2*r**2*(3*r + 7)/9
Factor -18*j**3 + 29130*j**2 + 19426*j + 3238.
-2*(j - 1619)*(3*j + 1)**2
Factor -3*a**4 + 273*a**3 - 8091*a**2 + 72075*a + 178746.
-3*(a - 31)**3*(a + 2)
Factor 2*n**4 + 91*n**3/2 - 335*n**2/2 + 39*n.
n*(n - 3)*(n + 26)*(4*n - 1)/2
Factor 8*t**5 - 44*t**4 - 24*t**3 + 432*t**2 - 432*t - 324.
4*(t - 3)**3*(t + 3)*(2*t + 1)
Factor w**3 - 7*w - 6.
(w - 3)*(w + 1)*(w + 2)
Factor 5*i**4 - 70*i**3 - 455*i**2 - 380*i.
5*i*(i - 19)*(i + 1)*(i + 4)
Factor -49*p**4/3 - 81214*p**3/3 - 11209463*p**2 + 19236116*p/3 - 2748964/3.
-(p + 829)**2*(7*p - 2)**2/3
Factor -i**3 - 48*i**2 - 297*i - 410.
-(i + 2)*(i + 5)*(i + 41)
Find k such that k**3/2 - 23*k**2 + 44*k = 0.
0, 2, 44
What is m in m**5/3 - 2*m**4 + 18*m**2 - 27*m = 0?
-3, 0, 3
Solve 2*m**2/19 - 1578*m/19 - 3164/19 = 0.
-2, 791
Factor -2*f**3/11 - 42*f**2/11 + 2744/11.
-2*(f - 7)*(f + 14)**2/11
Factor 3*z**3/7 - 33*z**2/7 + 12*z.
3*z*(z - 7)*(z - 4)/7
Determine x so that x**2 + 4590*x + 5267025 = 0.
-2295
Factor -d**3 - 46*d**2 - 43*d + 90.
-(d - 1)*(d + 2)*(d + 45)
Factor -j**2/4 - 207*j/4.
-j*(j + 207)/4
Suppose -2*q**2/3 + 74*q/3 = 0. What is q?
0, 37
Factor -u**5/3 + u**3 + 2*u**2/3.
-u**2*(u - 2)*(u + 1)**2/3
Factor 25*c**4/8 - 135*c**3/8 + 151*c**2/8 - 45*c/8 + 1/2.
(c - 4)*(c - 1)*(5*c - 1)**2/8
Solve 2*u**5/5 + 78*u**4 + 19204*u**3/5 + 18428*u**2/5 - 19206*u/5 - 18818/5 = 0 for u.
-97, -1, 1
What is g in -2*g**3/7 - 2*g**2 + 34*g/7 - 18/7 = 0?
-9, 1
Factor z**3/4 - 37*z**2/2 + 323*z + 722.
(z - 38)**2*(z + 2)/4
Factor x**2 + 216*x - 217.
(x - 1)*(x + 217)
Suppose -a**5/4 + a**4/2 + 5*a**3/4 - 5*a**2/2 - a + 2 = 0. What is a?
-2, -1, 1, 2
Find c, given that 4*c**3 - 1828*c**2 = 0.
0, 457
Determine c so that c**2/2 + 27*c/8 - 31/8 = 0.
-31/4, 1
Suppose 5*w**4 + 220*w**3 + 2960*w**2 + 9360*w - 32400 = 0. Calculate w.
-18, -10, 2
Suppose 2*l**2/5 + 6*l + 28/5 = 0. What is l?
-14, -1
Determine r, given that -16*r**2/3 - 12*r + 12 = 0.
-3, 3/4
Factor -2*j**4 + 46*j**3 - 86*j**2 + 42*j.
-2*j*(j - 21)*(j - 1)**2
Factor 155*p**4 + 10*p**3 - 155*p**2 - 10*p.
5*p*(p - 1)*(p + 1)*(31*p + 2)
Factor 2*i**2 + 1428*i + 254898.
2*(i + 357)**2
Solve -3*i**3 + 111*i**2 + 507*i - 615 = 0 for i.
-5, 1, 41
What is j in 14*j**4 - 32*j**3 + 22*j**2 - 4*j = 0?
0, 2/7, 1
Let -2*i**3/9 - 14*i**2/3 - 28*i/9 + 80/3 = 0. What is i?
-20, -3, 2
Let -5*h**2 + 45*h + 50 = 0. Calculate h.
-1, 10
Determine s, given that s**2/7 - 5*s/7 + 6/7 = 0.
2, 3
Factor 2*m**3/17 - 32*m**2/17.
2*m**2*(m - 16)/17
Factor b**2/9 + 13*b/9 + 22/9.
(b + 2)*(b + 11)/9
Find r, given that -10*r**4 - 1484*r**3 - 63152*r**2 - 579904*r - 221952 = 0.
-68, -12, -2/5
Factor -1070*d**3 - 8561*d**2/4 - 2141*d/2 - 1/4.
-(d + 1)**2*(4280*d + 1)/4
Let -p**4 + 18*p**3 - 16*p**2 - 18*p + 17 = 0. Calculate p.
-1, 1, 17
Let -2*m**4/5 + 4*m**3/5 + 18*m**2/5 - 4*m/5 - 16/5 = 0. Calculate m.
-2, -1, 1, 4
Factor 2*p**3 + 46*p**2 - 772*p - 816.
2*(p - 12)*(p + 1)*(p + 34)
Factor x**3 + 205*x**2 - 417*x - 621.
(x - 3)*(x + 1)*(x + 207)
Solve -4*h**2/7 - 8*h/7 + 36 = 0 for h.
-9, 7
Factor x**3/6 - 35*x**2/6 - 425*x/6 - 375/2.
(x - 45)*(x + 5)**2/6
Solve 2*m**5/5 - 108*m**4/5 + 1944*m**3/5 - 11664*m**2/5 = 0.
0, 18
Factor -2*t**3/3 + 34*t**2/9 - 4*t - 16/9.
-2*(t - 4)*(t - 2)*(3*t + 1)/9
Determine c so that c**4 - 36*c**3 + 99*c**2 + 4*c - 132 = 0.
-1, 2, 33
Solve 2*f**5 - 2*f**4 - 2*f**3 + 2*f**2 = 0.
-1, 0, 1
Solve -y**3/4 - 7*y**2 - 221*y/4 - 169/2 = 0.
-13, -2
Solve 12*p**3/5 + 429*p**2/5 + 756*p - 972/5 = 0 for p.
-18, 1/4
Suppose -2*b**3/5 - 318*b**2/5 - 16854*b/5 - 297754/5 = 0. Calculate b.
-53
Find h, given that h**4/2 - 4*h**3 - 5*h**2 + 4*h + 9/2 = 0.
-1, 1, 9
Solve 4*v**4/3 - 112*v**3/3 - 1924*v**2/3 + 112*v/3 + 640 = 0 for v.
-12, -1, 1, 40
Let -2*h**4 - 14*h**3 - 18*h**2 + 54*h + 108 = 0. What is h?
-3, 2
Factor 2*k**4/5 + 28*k**3/5 - 98*k**2/5 + 68*k/5.
2*k*(k - 2)*(k - 1)*(k + 17)/5
Factor 5*g**2 + 6370*g + 2028845.
5*(g + 637)**2
Solve -17*l**4/2 - 213*l**3/4 + 171*l**2/4 - 7*l = 0 for l.
-7, 0, 4/17, 1/2
Suppose 2*u**3/13 + 1226*u**2/13 + 4880*u/13 + 4872/13 = 0. What is u?
-609, -2
Factor 3*j**2/7 + 642*j/7 - 1296/7.
3*(j - 2)*(j + 216)/7
Solve -29040*k**4 - 28248*k**3 + 294333*k**2/5 - 7947*k/5 + 54/5 = 0.
-2, 3/220, 1
Factor -b**5 + 6*b**4 - 8*b**3 - 6*b**2 + 9*b.
-b*(b - 3)**2*(b - 1)*(b + 1)
Let 5*t**5 - 785*t**4 + 29615*t**3 + 93605*t**2 + 95200*t + 32000 = 0. What is t?
-1, 80
Solve -25*s**5 - 365*s**4 + 550*s**3 - 160*s**2 = 0.
-16, 0, 2/5, 1
Solve p**2/4 + 4093*p/2 + 16752649/4 = 0 for p.
-4093
Factor 3*q**3/5 + 3*q**2/5 - 591*q/5 + 117.
3*(q - 13)*(q - 1)*(q + 15)/5
Factor 2*u**4/7 + 30*u**3/7 - 32*u**2/7.
2*u**2*(u - 1)*(u + 16)/7
Factor -t**3/4 + t/4.
-t*(t - 1)*(t + 1)/4
Determine j, given that -j**3 + 65*j**2/2 - 208*j + 96 = 0.
1/2, 8, 24
Factor 3*o**5 + 9*o**4 - 48*o**3 + 36*o**2.
3*o**2*(o - 2)*(o - 1)*(o + 6)
Factor 2*f**4 - 8*f**2.
2*f**2*(f - 2)*(f + 2)
Find w, given that -4*w**3 + 88*w**2 = 0.
0, 22
Suppose 28*s**4/3 + 484*s**3/3 + 2264*s**2/3 + 2288*s/3 + 160 = 0. What is s?
-10, -6, -1, -2/7
Solve -5*l**3 + 35*l**2 + 5*l - 35 = 0 for l.
-1, 1, 7
Factor -v**3 + 42*v**2 - 156*v - 6760.
-(v - 26)**2*(v + 10)
Solve -d**2/3 - 290*d - 1736/3 = 0.
-868, -2
Suppose -3*y**5/7 + 9*y**4/7 + 27*y**3/7 - 69*y**2/7 - 72*y/7 + 108/7 = 0. What is y?
-2, 1, 3
Factor k**5/4 + k**4/4 - k**3/4 - k**2/4.
k**2*(k - 1)*(k + 1)**2/4
Factor -3*