533*z**2/5.
-z**2*(z - 1533)/5
Factor 5*k**3/6 - 5*k**2 - 95*k/6 + 70.
5*(k - 7)*(k - 3)*(k + 4)/6
Suppose 2*c**4/11 + 564*c**3/11 + 39760*c**2/11 - 564*c/11 - 39762/11 = 0. What is c?
-141, -1, 1
Find c such that -4*c**5/9 + 290*c**4/9 - 4720*c**3/9 - 19600*c**2/9 - 12160*c/9 + 11552/9 = 0.
-2, 1/2, 38
Suppose -4*d**3/7 - 612*d**2/7 - 10044*d/7 - 43740/7 = 0. Calculate d.
-135, -9
Suppose 21*y**3 - 645*y**2 - 186*y = 0. Calculate y.
-2/7, 0, 31
Solve 40*o**4 - 41*o**3 - 559*o**2 + 974*o - 24 = 0 for o.
-4, 1/40, 2, 3
What is h in 4*h**4 + 56*h**3 - 260*h**2 - 4632*h - 4320 = 0?
-12, -10, -1, 9
Find g such that -4*g**4 + 156*g**3 - 432*g**2 - 16*g + 576 = 0.
-1, 2, 36
Find l, given that -l**3 - 94*l**2 - 2112*l + 4608 = 0.
-48, 2
Factor 2*w**2 - 56*w - 58.
2*(w - 29)*(w + 1)
Suppose 8*y**5 + 92*y**4 + 56*y**3 - 580*y**2 + 584*y - 160 = 0. Calculate y.
-10, -4, 1/2, 1
Factor -5*g**4 + 7155*g**3 - 2563275*g**2 + 2556125*g.
-5*g*(g - 715)**2*(g - 1)
Let 2*q**3 + 17*q**2 - 10*q - 9 = 0. What is q?
-9, -1/2, 1
Find g, given that -5*g**3/2 - 210*g**2 - 2385*g/2 + 154495 = 0.
-53, 22
Factor 2*j**3/3 - 32*j**2 - 638*j/3 - 180.
2*(j - 54)*(j + 1)*(j + 5)/3
Factor 5*u**3 - 170*u**2 - 360*u.
5*u*(u - 36)*(u + 2)
Factor 4*w**5 - 7148*w**4 + 3189792*w**3 + 3196944*w**2.
4*w**2*(w - 894)**2*(w + 1)
Factor -k**2 - 76*k.
-k*(k + 76)
Find o such that -o**3 - 24*o**2 - 21*o + 46 = 0.
-23, -2, 1
What is u in 9*u**5 + 66*u**4 + 369*u**3/4 - 501*u**2/4 - 54*u + 12 = 0?
-4, -1/2, 1/6, 1
Factor 92*m**3 - 572*m**2 + 48*m + 432.
4*(m - 6)*(m - 1)*(23*m + 18)
Solve -d**4/3 + 26*d**3/3 - 59*d**2 + 280*d/3 - 128/3 = 0.
1, 8, 16
Find s, given that -15*s**2 + 669*s + 270 = 0.
-2/5, 45
Factor 2*n**4 + 14*n**3 + 4*n**2 - 128*n - 192.
2*(n - 3)*(n + 2)*(n + 4)**2
Determine k, given that 10*k**3/11 - 4*k**2 + 16*k/11 = 0.
0, 2/5, 4
Suppose -a**5 + 277*a**4 - 3226*a**3 + 12250*a**2 - 15925*a + 6625 = 0. What is a?
1, 5, 265
Factor -274360*c**3 - 498180*c**2 - 301530*c - 60835.
-5*(38*c + 23)**3
Let -5*s**2 - 5760*s - 1658880 = 0. What is s?
-576
Factor -3*h**4/2 + 39*h**3 - 579*h**2/2 + 468*h - 216.
-3*(h - 12)**2*(h - 1)**2/2
Factor -r**2/3 - 142*r/3 - 280/3.
-(r + 2)*(r + 140)/3
Suppose q**3 - 1353*q**2 + 458328*q - 456976 = 0. What is q?
1, 676
What is g in 12*g**3 - 8*g**2 - 4*g = 0?
-1/3, 0, 1
Solve h**2 - 6*h + 9 = 0.
3
Find k, given that -4*k**2 + 1728*k - 186624 = 0.
216
Solve -4*j**4 + 300*j**3 + 928*j**2 + 624*j = 0 for j.
-2, -1, 0, 78
Determine z, given that -189*z**5/8 + 6*z**4 + 605*z**3/8 - 125*z**2/2 + z/2 + 4 = 0.
-2, -2/9, 1/3, 1, 8/7
Find s such that -5*s**5 - 925*s**4 - 42305*s**3 + 45105*s**2 + 86490*s = 0.
-93, -1, 0, 2
Factor -b**2 + 4*b - 4.
-(b - 2)**2
Factor -4*u**3 - 148*u**2 - 992*u - 1856.
-4*(u + 4)**2*(u + 29)
Find h, given that -h**5/4 + 3*h**4/4 + 41*h**3/2 + 37*h**2/2 - 81*h/4 - 77/4 = 0.
-7, -1, 1, 11
Factor 5*c**4/4 + 25*c**3/2 - 70*c**2.
5*c**2*(c - 4)*(c + 14)/4
Suppose 8*m**5/5 - 42*m**4/5 + 66*m**3/5 - 38*m**2/5 + 6*m/5 = 0. Calculate m.
0, 1/4, 1, 3
Suppose 2*g**5 - 34*g**4 + 30*g**3 + 34*g**2 - 32*g = 0. Calculate g.
-1, 0, 1, 16
Suppose 2*v**2 + 8528*v + 9090848 = 0. What is v?
-2132
Factor p**4/4 + 7*p**3/2 - 3*p**2/4 - 11*p - 7.
(p - 2)*(p + 1)**2*(p + 14)/4
Find k such that -k**3/6 - 17*k**2/6 + 40*k/3 - 14 = 0.
-21, 2
Solve -2*x**4/3 - 4*x**3 - 10*x**2/3 + 8*x = 0.
-4, -3, 0, 1
Let 25*h**4 - 240*h**3 + 635*h**2 - 300*h = 0. What is h?
0, 3/5, 4, 5
Factor m**2/2 + 517*m + 267289/2.
(m + 517)**2/2
Factor 5*s**3 + 25*s**2 + 35*s + 15.
5*(s + 1)**2*(s + 3)
Let 28*v**5 - 64*v**4 - 68*v**3 + 248*v**2 - 176*v + 32 = 0. What is v?
-2, 2/7, 1, 2
What is m in m**5 + 4*m**4 - 7*m**3 - 10*m**2 = 0?
-5, -1, 0, 2
Suppose 2*p**4/11 + 14*p**3/11 + 4*p**2/11 - 56*p/11 - 48/11 = 0. What is p?
-6, -2, -1, 2
Factor -3*r**2/5 - 837*r/5 + 6888/5.
-3*(r - 8)*(r + 287)/5
Determine t, given that 5*t**4 - 25*t**3 - 165*t**2 + 385*t - 200 = 0.
-5, 1, 8
Determine m, given that -m**2 - 1326*m - 439569 = 0.
-663
Solve -3*a**4 - 48*a**3 + 228*a**2 - 240*a = 0 for a.
-20, 0, 2
Suppose 6*s**2/5 - 18*s + 264/5 = 0. What is s?
4, 11
Determine q so that 2*q**4/7 - 72*q**3/7 + 876*q**2/7 - 3848*q/7 + 3042/7 = 0.
1, 9, 13
Suppose 92*c**5 + 15*c**4 - 278*c**3 + 139*c**2 + 36*c - 4 = 0. Calculate c.
-2, -1/4, 2/23, 1
What is c in 4*c**3 - 32*c**2 - 64*c + 512 = 0?
-4, 4, 8
Factor 4*w**4/3 + 4*w**3 - 4*w**2/3 - 4*w.
4*w*(w - 1)*(w + 1)*(w + 3)/3
Suppose -u**5/4 - u**4/4 + 5*u**3/4 + 5*u**2/4 - u - 1 = 0. What is u?
-2, -1, 1, 2
Find w such that -w**5/10 + w**4/5 + 11*w**3/10 - 6*w**2/5 = 0.
-3, 0, 1, 4
Factor -2*x**3/9 + 50*x**2/9 - 176*x/9 + 56/3.
-2*(x - 21)*(x - 2)**2/9
Factor -8*g**3 - 11416*g**2 - 11410*g - 2852.
-2*(g + 1426)*(2*g + 1)**2
Suppose -x**2 - 379*x + 3096 = 0. Calculate x.
-387, 8
Factor 2*j**2/7 + 4*j/7 + 2/7.
2*(j + 1)**2/7
Find v such that 6*v**2/5 - 23*v/5 + 3 = 0.
5/6, 3
Find b such that -4*b**2 - 868*b + 4440 = 0.
-222, 5
Suppose 2*t**4/5 + 376*t**3/5 + 18044*t**2/5 + 34968*t/5 + 17298/5 = 0. Calculate t.
-93, -1
What is d in 4*d**4 - 40*d**3 + 92*d**2 - 56*d = 0?
0, 1, 2, 7
Solve -2*z**2 + 84*z + 86 = 0 for z.
-1, 43
Determine q, given that -3*q**5/5 - 12*q**4 - 297*q**3/5 + 12*q**2 + 60*q = 0.
-10, -1, 0, 1
What is w in 3*w**5 + 84*w**4 + 492*w**3 + 1122*w**2 + 1089*w + 378 = 0?
-21, -3, -2, -1
Factor -8978*l**3/11 + 8442*l**2/11 + 48*l + 8/11.
-2*(l - 1)*(67*l + 2)**2/11
Determine t so that -4*t**5 - 4*t**4 + 84*t**3 + 164*t**2 + 80*t = 0.
-4, -1, 0, 5
Factor f**2/7 + 54*f/7 + 99.
(f + 21)*(f + 33)/7
Factor 2*d**3/7 - 3600*d**2/7 + 1620000*d/7.
2*d*(d - 900)**2/7
Determine t so that -27*t**3/4 - 45*t**2 - 111*t/4 - 9/2 = 0.
-6, -1/3
Suppose -4*w**2 - 28*w + 1800 = 0. What is w?
-25, 18
Determine h, given that 3*h**3/2 + 117*h**2/2 + 57*h = 0.
-38, -1, 0
Solve 55*c**2 - 10*c = 0.
0, 2/11
Solve 2*t**5 + 428*t**4 - 864*t**3 = 0 for t.
-216, 0, 2
Factor t**2 + 1334*t + 444889.
(t + 667)**2
Factor -c**3/3 - 2*c**2/3 + c.
-c*(c - 1)*(c + 3)/3
Find r, given that -r**4/5 + 2*r**3 + 7*r**2/5 - 76*r/5 + 12 = 0.
-3, 1, 2, 10
Suppose w**3 - 48*w**2 + 293*w - 246 = 0. Calculate w.
1, 6, 41
Factor -v**4 - 21*v**3 - 137*v**2 - 279*v - 162.
-(v + 1)*(v + 2)*(v + 9)**2
Determine j, given that -j**4/2 - 3*j**3 = 0.
-6, 0
What is j in -2*j**2/7 - 18*j/7 - 36/7 = 0?
-6, -3
Suppose 2*v**3/3 + 48*v**2 + 864*v = 0. Calculate v.
-36, 0
Find x, given that -2*x**2/7 - 120*x/7 - 342/7 = 0.
-57, -3
Suppose -4*q**4 - 88*q**3 + 880*q**2 + 2008*q + 1044 = 0. Calculate q.
-29, -1, 9
What is z in z**5/3 + 3*z**4 + 29*z**3/3 + 13*z**2 + 6*z = 0?
-3, -2, -1, 0
Factor 22*m**3 - 2852*m**2 + 91910*m + 33800.
2*(m - 65)**2*(11*m + 4)
Find o, given that 2*o**4/5 - 16*o**3/5 + 26*o**2/5 - 12*o/5 = 0.
0, 1, 6
Solve 2*t**3 + 30*t**2 - 56*t - 384 = 0 for t.
-16, -3, 4
Solve o**4/5 - 43*o**3/5 - 9*o**2 + 43*o/5 + 44/5 = 0 for o.
-1, 1, 44
Factor -m**5 - 14*m**4 + 32*m**3 - 2*m**2 - 31*m + 16.
-(m - 1)**3*(m + 1)*(m + 16)
Solve -h**2/4 + 7*h/4 - 3 = 0 for h.
3, 4
What is x in 2*x**3 - 40*x**2 + 200*x = 0?
0, 10
Suppose 28*z**4 - 132*z**3 + 16*z**2 + 240*z + 64 = 0. What is z?
-1, -2/7, 2, 4
Factor -2*g**3/5 - 96*g**2/5 - 1536*g/5 - 8192/5.
-2*(g + 16)**3/5
Let -b**5/2 - 17*b**4 + 109*b**3/2 - 37*b**2 = 0. What is b?
-37, 0, 1, 2
What is s in 6*s**3/11 + 24*s**2 + 2304*s/11 - 13824/11 = 0?
-24, 4
Factor 4*d**3/3 - 1148*d**2/9 + 4072*d/9 - 736/3.
4*(d - 92)*(d - 3)*(3*d - 2)/9
Factor -2*q**4 + 1108*q**3 - 154562*q**2 + 305808*q - 152352.
-2*(q - 276)**2*(q - 1)**2
Find p such that -2*p**3 - 252*p**2 - 8184*p - 15376 = 0.
-62, -2
Determine u, given that 2*u**5/3 + 20*u**4/3 + 64*u**3/3 + 76*u**2/3 + 10*u = 0.
-5, -3, -1, 0
Factor -2*p**4 - 132*p**3 + 552*p**2 - 560*p.
-2*p*(p - 2)**2*(p + 70)
Find l, given that 3*l**4 + 6*l**3 - 12*l**2 - 6*l + 9 = 0.
-3, -1, 1
Factor -12*o**3 + 978*o**2/5 - 288*o/5.
-6*o*(o - 16)*(10*o - 3)/5
Factor -2*n**4 - 20*n**3 + 26*n**2 + 44*n.
-2*n*(n - 2)*(n + 1)*(n + 11)
Let 3*c**2/8 - 3411*c/4 + 3878307/8 = 0. Calculate c.
1137
Factor 4*u**4/5 - 12*u**3 - 132*u**2/5 - 68*u/5.
4*u*(u - 17)*(u + 1)**2/5
Determine t, given that -5*t**3 + 140*t**2 - 685*t + 550 = 0.
1, 5, 22
Let 5*q**4 - 85*q**3 + 115*q**2 + 505*q + 300 = 0. What is q?
-1, 4, 15
Determine h, given