*q**2*(q - 8)
Let -8*t**3/7 + 431*t**2/7 - 778*t/7 - 104/7 = 0. Calculate t.
-1/8, 2, 52
Suppose -4*g**2 + 4*g = 0. Calculate g.
0, 1
Determine g so that -2*g**3 - 72*g**2 + 312*g - 320 = 0.
-40, 2
Let -2*i**4/9 + 74*i**3/9 - 50*i**2 + 102*i - 60 = 0. What is i?
1, 3, 30
What is v in -2*v**4 + 6*v**3 + 34*v**2 - 78*v + 40 = 0?
-4, 1, 5
Solve -4*f**3 - 36*f**2 - 24*f + 224 = 0.
-7, -4, 2
Factor -i**2 - 4*i.
-i*(i + 4)
Find k such that -k**5/4 + 5*k**4/4 - 5*k**3/4 - 5*k**2/4 + 3*k/2 = 0.
-1, 0, 1, 2, 3
Find w, given that 6*w**3 - 4*w**2 - 26*w - 16 = 0.
-1, 8/3
Suppose 2*r**3 + 182*r**2 + 696*r = 0. What is r?
-87, -4, 0
Factor 3*t**2/2 - 7089*t.
3*t*(t - 4726)/2
Let -5*f**3 - 5325*f**2 + 10665*f - 5335 = 0. Calculate f.
-1067, 1
Factor 2*c**2/5 + 642*c/5 + 128.
2*(c + 1)*(c + 320)/5
Factor -2*x**2 - 462*x - 460.
-2*(x + 1)*(x + 230)
Determine j, given that -4*j**5 - 48*j**4 - 228*j**3 - 536*j**2 - 624*j - 288 = 0.
-3, -2
Solve 5*a**3 - 282*a**2 - 468*a + 232 = 0 for a.
-2, 2/5, 58
Factor -2*d**5 - 4*d**4 + 16*d**3 - 4*d**2 - 14*d + 8.
-2*(d - 1)**3*(d + 1)*(d + 4)
Factor 12288*x**4 - 147072*x**3 + 437763*x**2 + 13788*x + 108.
3*(x - 6)**2*(64*x + 1)**2
Solve -4*c**3 + 16*c**2 - 12*c = 0.
0, 1, 3
Suppose -n**2 + 161*n - 474 = 0. Calculate n.
3, 158
Let 5*d**2 - 315*d + 900 = 0. What is d?
3, 60
Let 16*w**4 - 76*w**3 + 92*w**2 - 20*w - 12 = 0. What is w?
-1/4, 1, 3
Determine n, given that n**3/6 - 111*n**2 + 18370*n + 111556/3 = 0.
-2, 334
Find o such that -15*o**5 - 831*o**4 - 2670*o**3 - 876*o**2 + 3144*o + 1248 = 0.
-52, -2, -2/5, 1
Factor 5*j**2/2 - 810*j + 65610.
5*(j - 162)**2/2
Let -2*g**4/7 + 82*g**3 - 3390*g**2/7 + 5066*g/7 - 2248/7 = 0. Calculate g.
1, 4, 281
Suppose -2*v**5 + 8*v**4 - 2*v**3 - 20*v**2 + 8*v + 16 = 0. Calculate v.
-1, 2
Find k, given that -k**2/4 + 594*k - 2375/4 = 0.
1, 2375
Solve -l**3/3 - 23*l**2/3 - 143*l/3 - 121/3 = 0.
-11, -1
Suppose -f**5/7 - 13*f**4/7 + 34*f**3/7 + 58*f**2/7 - 33*f/7 - 45/7 = 0. Calculate f.
-15, -1, 1, 3
Factor 4*k**5 + 4*k**4 - 24*k**3 - 16*k**2 + 32*k.
4*k*(k - 2)*(k - 1)*(k + 2)**2
Find d, given that d**5 + 132*d**4 + 128*d**3 - 394*d**2 - 129*d + 262 = 0.
-131, -2, -1, 1
Determine k so that 32*k**4/19 + 784*k**3/19 + 1794*k**2/19 + 752*k/19 + 88/19 = 0.
-22, -2, -1/4
Solve 5*t**3/4 - 15*t**2/4 - 30*t - 35 = 0 for t.
-2, 7
Solve -4*p**2 + 12*p + 16 = 0 for p.
-1, 4
Determine s, given that 21*s**5/4 - 15*s**4/4 - 279*s**3/4 - 57*s**2/4 + 129*s/2 + 18 = 0.
-3, -1, -2/7, 1, 4
Find f, given that -f**2/4 + 11*f/4 - 6 = 0.
3, 8
Determine t, given that -8*t**5 + 42*t**4 - 28*t**3 - 48*t**2 = 0.
-3/4, 0, 2, 4
Factor 2*z**2/3 - 8*z/3 + 2.
2*(z - 3)*(z - 1)/3
What is a in -3*a**3/4 + 21*a**2/4 + 6*a = 0?
-1, 0, 8
Factor -t**4 - t**3 + 5*t**2 - 3*t.
-t*(t - 1)**2*(t + 3)
Factor m**3/2 + 1569*m**2/2 + 820587*m/2 + 143055667/2.
(m + 523)**3/2
Factor 2*u**4 + 8*u**3 - 102*u**2 + 180*u.
2*u*(u - 3)**2*(u + 10)
Determine f, given that 3*f**2 - 93*f + 174 = 0.
2, 29
Factor 2*m**4/11 + 62*m**3/11 + 60*m**2/11.
2*m**2*(m + 1)*(m + 30)/11
Factor -q**3/3 - 14*q**2/3 + 497*q/3 + 170.
-(q - 17)*(q + 1)*(q + 30)/3
Suppose 3*q**3 + 1446*q**2 + 174243*q = 0. Calculate q.
-241, 0
Factor -27*p**3/7 - 46*p**2 - 948*p/7 + 72/7.
-(p + 6)**2*(27*p - 2)/7
Factor -2*f**3 - 568*f**2 - 43018*f - 375380.
-2*(f + 10)*(f + 137)**2
Determine v, given that 2*v**5 + 27*v**4/2 + 61*v**3/2 + 51*v**2/2 + 7*v/2 - 3 = 0.
-3, -2, -1, 1/4
Factor 5*z**2 - 50*z.
5*z*(z - 10)
Factor -2*n**2/13 - 300*n/13.
-2*n*(n + 150)/13
Factor -94*l**2 + 95*l - 1.
-(l - 1)*(94*l - 1)
Factor -u**4/6 - 5*u**3/6 + u**2/6 + 5*u/6.
-u*(u - 1)*(u + 1)*(u + 5)/6
Factor -o**2/2 + 25*o/2.
-o*(o - 25)/2
Determine d so that d**5/4 + 7*d**4/4 - 33*d**3/4 - 131*d**2/4 + 154*d - 147 = 0.
-7, 2, 3
Suppose -5*l**3 - 60*l**2 = 0. Calculate l.
-12, 0
Determine n, given that -3*n**4 - 12*n**3 + 9*n**2 + 30*n - 24 = 0.
-4, -2, 1
Factor p**3/4 - 79*p**2/4 + 76*p - 75.
(p - 75)*(p - 2)**2/4
Factor -3*h**3 + 63*h**2 + 72*h - 132.
-3*(h - 22)*(h - 1)*(h + 2)
Let 2*p**3/19 + 6*p**2/19 - 48*p/19 - 160/19 = 0. What is p?
-4, 5
Factor m**2 + 4*m - 572.
(m - 22)*(m + 26)
Factor -4*n**2 - 132*n.
-4*n*(n + 33)
Factor a**3/3 - 16*a**2/3 + 5*a.
a*(a - 15)*(a - 1)/3
Factor 2*r**2/3 + 26*r - 1800.
2*(r - 36)*(r + 75)/3
What is u in -2*u**5/5 + 5*u**4 + 42*u**3/5 + u**2/5 - 14*u/5 = 0?
-1, 0, 1/2, 14
Suppose j**5/2 - 11*j**4/4 + 4*j**3 - j**2/4 - 3*j/2 = 0. Calculate j.
-1/2, 0, 1, 2, 3
Find p, given that 2*p**2/5 + 148*p/5 + 2738/5 = 0.
-37
Factor -2*f**5 + 288*f**4 - 10368*f**3.
-2*f**3*(f - 72)**2
Factor 2*p**2 + 40*p - 42.
2*(p - 1)*(p + 21)
Find x, given that 6*x**2/11 - 1006*x/11 + 668/11 = 0.
2/3, 167
Determine m, given that 8*m**4/11 - 10*m**3/11 - 36*m**2/11 - 18*m/11 = 0.
-1, -3/4, 0, 3
Solve -m**2/2 + 31*m/2 + 16 = 0 for m.
-1, 32
Determine p so that p**4/4 + 21*p**3/4 + 23*p**2 - 75*p - 468 = 0.
-13, -6, 4
Factor 2*n**5 + 16*n**4 + 42*n**3 + 44*n**2 + 16*n.
2*n*(n + 1)**2*(n + 2)*(n + 4)
Factor -4*x**2 - 64*x + 144.
-4*(x - 2)*(x + 18)
Factor 2*p**5/7 + 80*p**4/7 + 1010*p**3/7 + 460*p**2 - 1400*p + 784.
2*(p - 1)**2*(p + 14)**3/7
Find v such that -v**2/2 - 81*v = 0.
-162, 0
Factor -53*p**3/4 - 271*p**2/4 - 121*p/2 - 6.
-(p + 1)*(p + 4)*(53*p + 6)/4
Factor i**4/7 - 2*i**3/7 - 4*i**2/7 + 8*i/7.
i*(i - 2)**2*(i + 2)/7
Let -n**3/2 - n**2/2 + n = 0. Calculate n.
-2, 0, 1
Factor -y**4 - 26*y**3 - 189*y**2 - 196*y + 1372.
-(y - 2)*(y + 7)**2*(y + 14)
Factor -3*z**3 + 4161*z**2 - 1444905*z + 1440747.
-3*(z - 693)**2*(z - 1)
Let -2*o**2 - 4408*o - 2428808 = 0. What is o?
-1102
Factor -606*m**3 - 1217*m**2 - 616*m - 5.
-(m + 1)**2*(606*m + 5)
Determine d, given that -3*d**5/4 + 15*d**4 + 81*d**3/4 - 183*d**2/2 - 69*d + 126 = 0.
-2, 1, 2, 21
Let 26*h**3 + 34*h**2 + 29*h/2 + 2 = 0. Calculate h.
-1/2, -4/13
Determine i, given that -i**2/2 + 24*i + 49/2 = 0.
-1, 49
Determine o so that -5*o**5/3 - 40*o**4/3 - 20*o**3/3 + 110*o**2/3 + 25*o/3 - 70/3 = 0.
-7, -2, -1, 1
What is c in 2*c**4/3 - 16*c**3/3 - 32*c**2/3 + 256*c/3 = 0?
-4, 0, 4, 8
Factor -5*t**5 - 105*t**4 - 375*t**3 + 1805*t**2 - 2040*t + 720.
-5*(t - 1)**3*(t + 12)**2
Determine d so that -d**2/2 - 17*d - 289/2 = 0.
-17
What is b in 75*b**5 - 680*b**4 - 10965*b**3 - 21510*b**2 + 32900*b - 9000 = 0?
-5, 2/5, 2/3, 18
Determine p, given that 5*p**5/3 - 30*p**4 + 395*p**3/3 + 30*p**2 - 400*p/3 = 0.
-1, 0, 1, 8, 10
Suppose 3*l**3 - 3*l = 0. Calculate l.
-1, 0, 1
Solve -8*b**5 + 356*b**4 + 924*b**3 + 748*b**2 + 188*b = 0 for b.
-1, -1/2, 0, 47
Solve 49*l**4 + 140*l**3 - 138*l**2 - 340*l + 289 = 0 for l.
-17/7, 1
Factor -9*l**2/7 - 106*l/7 + 24/7.
-(l + 12)*(9*l - 2)/7
Suppose -3*n**2 + 5232*n + 5235 = 0. What is n?
-1, 1745
Factor 2*g**2/7 - 5400*g/7 + 3645000/7.
2*(g - 1350)**2/7
Factor -3*t**3 - 102*t**2 + 123*t + 630.
-3*(t - 3)*(t + 2)*(t + 35)
Find i such that -i**3/3 + 13*i**2/3 + 29*i/3 + 5 = 0.
-1, 15
Suppose -2*k**4/7 - 4*k**3/7 + 30*k**2/7 = 0. Calculate k.
-5, 0, 3
Determine c, given that 3*c**4 + 978*c**3 + 80679*c**2 + 158436*c + 78732 = 0.
-162, -1
Find q such that 3*q**4/8 + 9*q**3/8 - 15*q**2/8 - 9*q/8 + 3/2 = 0.
-4, -1, 1
Find w such that -w**5 + 9*w**4 - 32*w**3 + 56*w**2 - 48*w + 16 = 0.
1, 2
Let o**3/9 - 13*o/9 + 4/3 = 0. Calculate o.
-4, 1, 3
Factor -b**2/5 + 48*b/5 - 576/5.
-(b - 24)**2/5
Suppose -15*t**5 + 74*t**4 + 47*t**3 - 174*t**2 - 172*t - 40 = 0. What is t?
-1, -2/3, -2/5, 2, 5
Solve -2*r**3/3 + 6*r**2 + 2*r/3 - 6 = 0.
-1, 1, 9
Factor 184*h**2/7 + 12*h/7.
4*h*(46*h + 3)/7
Factor -21*o**4 - 2484*o**3 - 73809*o**2 - 20886*o.
-3*o*(o + 59)**2*(7*o + 2)
Factor -3*g**2 + 8250*g - 5671875.
-3*(g - 1375)**2
Determine g, given that -4*g**3/9 - 20*g**2/9 + 32*g/9 + 16/3 = 0.
-6, -1, 2
Factor -3*z**2/5 - 3*z/5.
-3*z*(z + 1)/5
Factor 5*n**2 + 740*n - 12225.
5*(n - 15)*(n + 163)
Factor 2*y**3/7 + 4*y**2 - 2*y/7 - 4.
2*(y - 1)*(y + 1)*(y + 14)/7
Solve w**5/3 - 10*w**4/3 + 13*w**3/3 + 8*w**2 = 0.
-1, 0, 3, 8
Solve k**4 - 8*k**3 + 2*k**2 + 32*k + 21 = 0 for k.
-1, 3, 7
Factor -3*r**2/4 + 1869*r/2 - 3735/4.
-3*(r - 1245)*(r - 1)/4
Factor -4*b**2 - 24*b - 32.
-4*(b + 2)*(b + 4)
Factor -c**2/5 - 66*c/5 - 189/5.
-(c + 3)*(c + 63)/5
Find z, given that z**5/7 + 24*z**4 - 2*z**3/7 - 48*z**2 + z/7 + 24 = 0.
-168, -1, 1
Factor 21*c