h**2 + 43*h/4 + 11/2.
-(h - 22)*(h + 1)**2/4
Factor -c**4 + 34*c**3 - 64*c**2.
-c**2*(c - 32)*(c - 2)
Determine s, given that -5*s**2 - 970*s - 965 = 0.
-193, -1
Let 4*z**5 - 16*z**3 + 8*z**2 + 12*z - 8 = 0. What is z?
-2, -1, 1
Suppose -2*n**5/3 + 28*n**4/3 - 24*n**3 + 68*n**2/3 - 22*n/3 = 0. What is n?
0, 1, 11
Suppose u**5/2 - 10*u**4 + 99*u**3/2 - 44*u**2 - 104*u = 0. Calculate u.
-1, 0, 4, 13
Suppose 3*j**3 + 12*j**2 + 9*j = 0. Calculate j.
-3, -1, 0
Factor 3*f**4 - 543*f**3 + 32940*f**2 - 680400*f + 648000.
3*(f - 60)**3*(f - 1)
Factor y**2/2 - 303*y + 91809/2.
(y - 303)**2/2
Find b, given that -204*b**3 - 968*b**2/5 - 144*b/5 + 32/5 = 0.
-2/3, -2/5, 2/17
Factor -4*g**3/7 - 6*g**2/7 + 16*g/7 - 6/7.
-2*(g - 1)*(g + 3)*(2*g - 1)/7
Determine d, given that -12*d**4 - 51*d**3 + 132*d**2 + 36*d = 0.
-6, -1/4, 0, 2
Let -4*h**3/3 + 40*h**2 - 332*h/3 + 72 = 0. Calculate h.
1, 2, 27
Find m such that 4*m**3 + 320*m**2 - 3172*m + 2848 = 0.
-89, 1, 8
Factor 4*k**2 - 240*k + 3600.
4*(k - 30)**2
Solve -44*s**4/9 + 2*s**3/9 + 44*s**2/9 - 2*s/9 = 0.
-1, 0, 1/22, 1
Factor 2*b**3/15 + 58*b**2/15 - 2*b/15 - 58/15.
2*(b - 1)*(b + 1)*(b + 29)/15
Factor -5*w**3 + 75*w**2 - 70*w.
-5*w*(w - 14)*(w - 1)
Determine h so that -2*h**2 - 40*h + 88 = 0.
-22, 2
Determine u, given that -u**2 + 560*u - 78400 = 0.
280
Factor u**2/2 + 79*u/2 - 81.
(u - 2)*(u + 81)/2
Let r**5 + 11*r**4 + 34*r**3 + 14*r**2 - 35*r - 25 = 0. Calculate r.
-5, -1, 1
Let 3*j**5 + 6*j**4 - 9*j**3 = 0. What is j?
-3, 0, 1
Factor -y**2 - 12*y - 20.
-(y + 2)*(y + 10)
Factor 3*b**2 - 48*b + 84.
3*(b - 14)*(b - 2)
Find l such that -2*l**2/7 + 152*l/7 - 2888/7 = 0.
38
Determine m, given that -4*m**5/7 - 2*m**4 - 6*m**3/7 + 2*m**2 + 10*m/7 = 0.
-5/2, -1, 0, 1
Let -2*z**5 - 17*z**4/2 + 34*z**3 + 225*z**2 + 324*z + 135/2 = 0. What is z?
-3, -1/4, 5
Factor -2*y**2/3 - 148*y - 8214.
-2*(y + 111)**2/3
Let 2*o**3/17 + 8*o**2/17 - 298*o/17 - 1872/17 = 0. What is o?
-9, -8, 13
Factor -u**5/2 + 17*u**4/2 - 45*u**3 + 25*u**2 + 875*u/2 - 1875/2.
-(u - 5)**4*(u + 3)/2
Suppose -2*f**4/9 + 82*f**3/9 - 76*f**2/3 - 8*f/9 + 304/9 = 0. What is f?
-1, 2, 38
Find w such that 2*w**5/9 - 2*w**4/9 - 2*w**3/9 + 2*w**2/9 = 0.
-1, 0, 1
Factor 2*d**3/7 - 1398*d**2/7 + 325734*d/7 - 25298674/7.
2*(d - 233)**3/7
Factor -2*b**2/3 - 116*b/3.
-2*b*(b + 58)/3
Solve 3*a**5/4 + 3*a**4/4 - 21*a**3/4 - 3*a**2/4 + 9*a/2 = 0.
-3, -1, 0, 1, 2
Find t such that 4*t**5/5 + 84*t**4/5 + 396*t**3/5 - 484*t**2/5 = 0.
-11, 0, 1
Factor 5*p**3 - 90*p**2 - 200*p.
5*p*(p - 20)*(p + 2)
Let 3*y**2 + 147*y + 282 = 0. What is y?
-47, -2
What is p in 24*p**3 - 676*p**2 - 3848*p + 660 = 0?
-5, 1/6, 33
Factor 4*z**4 - 40*z**3 - 4*z**2 + 40*z.
4*z*(z - 10)*(z - 1)*(z + 1)
Solve -6*z**4 - 32*z**3 - 30*z**2 + 36*z = 0.
-3, 0, 2/3
Factor 4*t**2 + 1984*t + 246016.
4*(t + 248)**2
Factor 5*v**2 - 85*v - 190.
5*(v - 19)*(v + 2)
Factor n**3/3 - 5*n**2 + 16*n - 44/3.
(n - 11)*(n - 2)**2/3
Suppose 3*r**3/4 + 15*r**2/2 + 81*r/4 + 27/2 = 0. What is r?
-6, -3, -1
Let 16*g**2 - 508*g + 16129/4 = 0. Calculate g.
127/8
Factor p**3/7 - 38*p**2/7 - 79*p/7 - 40/7.
(p - 40)*(p + 1)**2/7
Factor 2*k**2 + 100*k + 912.
2*(k + 12)*(k + 38)
Find x, given that -3*x**2 + 24*x + 99 = 0.
-3, 11
Suppose -27*y**5/4 + 135*y**4/4 + 21*y**3/4 - 111*y**2/4 + 15*y/2 = 0. What is y?
-1, 0, 1/3, 2/3, 5
Let 6*a**5 - 14*a**4 - 6*a**3 + 22*a**2 - 8 = 0. Calculate a.
-1, -2/3, 1, 2
Find o such that -o**4 + 2248*o**3 - 4493*o**2 + 2246*o = 0.
0, 1, 2246
Factor -2*f**2/7 + 90*f.
-2*f*(f - 315)/7
Factor -10*g**4/3 - 5*g**3 + 5*g/3.
-5*g*(g + 1)**2*(2*g - 1)/3
Suppose q**3/4 + 41*q**2/4 + 110*q + 100 = 0. What is q?
-20, -1
Let z**3/10 - 11*z**2/10 + 23*z/10 + 7/2 = 0. What is z?
-1, 5, 7
Let n**2 + 514*n + 66049 = 0. Calculate n.
-257
Factor -b**4 + 581*b**3 - 84097*b**2 - 85845*b + 169362.
-(b - 291)**2*(b - 1)*(b + 2)
Suppose -2*c**4/9 - 4*c**3 - 64*c**2/3 - 320*c/9 = 0. Calculate c.
-10, -4, 0
Factor x**2/5 - 1856*x/5 + 861184/5.
(x - 928)**2/5
Factor 3*z**3/2 + 6*z**2.
3*z**2*(z + 4)/2
Factor -5*p**4 + 25*p**3 + 40*p**2 - 60*p.
-5*p*(p - 6)*(p - 1)*(p + 2)
Find h, given that -2*h**3 - 8*h**2 = 0.
-4, 0
What is s in -s**5/5 - 12*s**4/5 + 49*s**3/5 + 12*s**2 = 0?
-15, -1, 0, 4
Solve 2*j**4/3 + 13*j**3/2 + 37*j**2/3 - 7*j/2 = 0 for j.
-7, -3, 0, 1/4
Solve 2*x**3/5 + 48*x**2/5 - 158*x/5 + 108/5 = 0.
-27, 1, 2
Suppose -7*g**4 - 96*g**3 - 427*g**2 - 570*g + 200 = 0. Calculate g.
-5, -4, 2/7
Factor m**4 - 148*m**3 + 147*m**2.
m**2*(m - 147)*(m - 1)
Solve -2*f**3 - 882*f**2 - 129654*f - 6353046 = 0.
-147
Factor -5*u**5 + 45*u**4 - 135*u**3 + 135*u**2.
-5*u**2*(u - 3)**3
Determine f, given that 10*f**2/7 + 5394*f/7 + 308 = 0.
-539, -2/5
Solve -3*t**3/4 - 3*t**2/2 + 6*t = 0 for t.
-4, 0, 2
Suppose b**2/3 + 94*b/3 + 31 = 0. What is b?
-93, -1
Factor -3*i**2 + 27*i - 24.
-3*(i - 8)*(i - 1)
Solve -2*z**4/3 + 46*z**3/3 + 50*z**2/3 - 46*z/3 - 16 = 0 for z.
-1, 1, 24
Factor 4*q**3 + 88*q**2 + 76*q - 168.
4*(q - 1)*(q + 2)*(q + 21)
Factor 2*j**3/9 - 35*j**2/9 - 82*j - 40.
(j - 30)*(j + 12)*(2*j + 1)/9
Factor -2*f**2/13 - 1394*f/13 - 5544/13.
-2*(f + 4)*(f + 693)/13
Determine h so that 5*h**3 + 75*h**2 + 135*h + 65 = 0.
-13, -1
Let -506*f**3 + 1010*f**2 - 502*f - 2 = 0. Calculate f.
-1/253, 1
Find u such that u**5/7 + 12*u**4/7 + 57*u**3/7 + 134*u**2/7 + 156*u/7 + 72/7 = 0.
-3, -2
Determine x so that 3*x**5 + 24*x**4 - 27*x**3 = 0.
-9, 0, 1
What is j in 5*j**2 - 255*j = 0?
0, 51
Factor 3*v**3/5 - 18*v**2/5 + 9*v/5 + 6.
3*(v - 5)*(v - 2)*(v + 1)/5
Let 3*i**4/8 - 15*i**3/4 + 27*i**2/8 + 39*i/2 + 12 = 0. What is i?
-1, 4, 8
Factor 3*z**3/7 - 1032*z**2/7 - 3*z/7 + 1032/7.
3*(z - 344)*(z - 1)*(z + 1)/7
Solve 3*v**5 - 78*v**4 + 543*v**3 + 300*v**2 - 8052*v - 11616 = 0.
-2, 8, 11
Factor -4*b**3 - 112*b**2 + 236*b - 120.
-4*(b - 1)**2*(b + 30)
Factor p**3/4 - 11*p**2 + 140*p - 400.
(p - 20)**2*(p - 4)/4
What is g in -4*g**5 + 4*g**4 = 0?
0, 1
Factor -9*n**2/4 - 249*n/4 - 81/2.
-3*(n + 27)*(3*n + 2)/4
Suppose -2*v**2/9 + 1088*v/9 - 147968/9 = 0. Calculate v.
272
Find a, given that 3*a**5/5 + 6*a**4/5 - 144*a**3/5 + 378*a**2/5 - 243*a/5 = 0.
-9, 0, 1, 3
Factor 4*a**2/5 + 24*a/5 + 32/5.
4*(a + 2)*(a + 4)/5
Find z such that -125*z**5 + 700*z**4 + 2295*z**3 - 11170*z**2 - 4720*z - 480 = 0.
-4, -1/5, 4, 6
Solve -3*c**3 - 162*c**2 + 1053*c - 1620 = 0 for c.
-60, 3
Factor 5*u**5 + 45*u**4 + 150*u**3 + 220*u**2 + 120*u.
5*u*(u + 2)**3*(u + 3)
Solve 6*o**2/11 + 70*o/11 = 0 for o.
-35/3, 0
Factor 3*x**2/8 + 3633*x/8 - 909/2.
3*(x - 1)*(x + 1212)/8
Determine h so that -4*h**4/5 - 20*h**3 - 624*h**2/5 - 1424*h/5 - 1088/5 = 0.
-17, -4, -2
Factor -2*z**2/21 - 8*z/21.
-2*z*(z + 4)/21
Let -5*l**4 + 15*l**3 + 180*l**2 + 160*l = 0. Calculate l.
-4, -1, 0, 8
Factor 4*t**3 + 32*t**2 - 180*t + 144.
4*(t - 3)*(t - 1)*(t + 12)
Solve y**5 - 2*y**4 - 19*y**3 - 28*y**2 - 12*y = 0 for y.
-2, -1, 0, 6
Factor -2*l**2/15 - 96*l/5 + 584/15.
-2*(l - 2)*(l + 146)/15
Factor -p**4 + 6*p**3 - 12*p**2 + 10*p - 3.
-(p - 3)*(p - 1)**3
Determine a, given that a**2 + 176*a - 177 = 0.
-177, 1
Suppose 21*v**2 + 10872*v - 3108 = 0. What is v?
-518, 2/7
Factor n**4 + 2*n**3 - 5*n**2 - 6*n.
n*(n - 2)*(n + 1)*(n + 3)
Factor -d**2/3 + 4*d/3 + 7.
-(d - 7)*(d + 3)/3
Determine h so that h**4/3 - 28*h**3/3 - 65*h**2 - 102*h = 0.
-3, 0, 34
What is b in -2*b**4/5 - 42*b**3/5 - 236*b**2/5 - 24*b + 80 = 0?
-10, -2, 1
Factor -2*p**3/11 - 4*p**2/11 + 10*p/11 + 12/11.
-2*(p - 2)*(p + 1)*(p + 3)/11
Factor 11*d**4/9 + 19*d**3/9 - 2*d**2/3.
d**2*(d + 2)*(11*d - 3)/9
Factor 2*y**4/7 + 4176*y**3/7 + 2188208*y**2/7 + 8702784*y/7 + 8686112/7.
2*(y + 2)**2*(y + 1042)**2/7
Factor -a**3/3 + 14*a**2 + 893*a - 114868/3.
-(a - 47)**2*(a + 52)/3
Determine h, given that -2*h**3 - 12*h**2 - 10*h + 24 = 0.
-4, -3, 1
Suppose -3*y**3 + 378*y**2 + 1548*y + 1560 = 0. Calculate y.
-2, 130
Factor -4*b**2 + 4224*b + 4228.
-4*(b - 1057)*(b + 1)
Factor 3*z**3 - 870*z**2 - 1749*z - 876.
3*(z - 292)*(z + 1)**2
Factor 2*v**3 + 34*v**2/3 + 20*v/3.
2*v*(v + 5)*(3*v + 2)/3
What is y in 10*y**4 + 635*y**3 + 9920*y**2 - 5120*y = 0?
-32, 0, 1/2
Solve -10*r**2/7 + 1836*r/7 + 736/7 = 0 for r.
-2/5, 184
Solve 22*f**4/9 + 790*f**3/9 - 910*f**2/9 - 790*f/9 + 296/3 = 0 for f.
-37, -1, 1, 12/11
What is m in 3*m**5 + 3*m**4 - 7