2 - 192*n.
-4*n*(n - 6)*(n + 4)*(3*n - 2)
Solve 3*i**2/5 - 12/5 = 0 for i.
-2, 2
Factor 2*l**5 + 12*l**4 + 24*l**3 + 20*l**2 + 6*l.
2*l*(l + 1)**3*(l + 3)
Suppose -3*p**5/4 + 33*p**4/2 + 24*p**3 - 327*p**2/2 + 771*p/4 - 69 = 0. Calculate p.
-4, 1, 23
Find t such that -2*t**4 + 2*t**3 + 44*t**2 + 88*t + 48 = 0.
-2, -1, 6
Factor 5*k**3 + 90*k**2 - 105*k - 190.
5*(k - 2)*(k + 1)*(k + 19)
Solve -5*s**2 - 36040*s - 64944080 = 0 for s.
-3604
Determine b so that -32*b**4 + 172*b**3 - 284*b**2 + 180*b - 36 = 0.
3/8, 1, 3
Factor d**5/8 + 5*d**4/8 + d**3/2.
d**3*(d + 1)*(d + 4)/8
Factor -10*v**5/3 - 2*v**4.
-2*v**4*(5*v + 3)/3
Factor -15*u**5 - 65*u**4 - 110*u**3 - 90*u**2 - 35*u - 5.
-5*(u + 1)**4*(3*u + 1)
Solve -4*g**2/9 - 688*g/9 + 464/3 = 0 for g.
-174, 2
What is h in h**4 + 3*h**3 - 3*h**2 - 11*h - 6 = 0?
-3, -1, 2
Solve -2*k**4 + 98*k**3 - 1248*k**2 + 1152*k = 0 for k.
0, 1, 24
Suppose u**3/2 - 53*u**2/6 - 3*u = 0. What is u?
-1/3, 0, 18
Suppose 66*o**3/7 + 1054*o**2/7 + 4192*o/7 - 128/7 = 0. What is o?
-8, 1/33
Factor -5*m**2 + 9060*m - 4104180.
-5*(m - 906)**2
What is c in 5*c**2 + 850*c + 9480 = 0?
-158, -12
Factor w**3/4 - 5*w**2/4 + 3*w/4 + 9/4.
(w - 3)**2*(w + 1)/4
Solve 4*q**4/3 + 19*q**3/3 + 9*q**2 + 8*q/3 - 4/3 = 0.
-2, -1, 1/4
Let -3*i**5/4 - 21*i**4/2 - 153*i**3/4 - 75*i**2/2 + 33*i + 54 = 0. What is i?
-9, -2, 1
Find o such that 3*o**4 - 771*o**3 + 4545*o**2 - 6789*o + 3012 = 0.
1, 4, 251
Factor -4*h**4 - 100*h**3 + 104*h**2.
-4*h**2*(h - 1)*(h + 26)
Factor t**2/3 - 82*t/3.
t*(t - 82)/3
Suppose 2*q**4/11 + 82*q**3/11 - 258*q**2/11 + 262*q/11 - 8 = 0. What is q?
-44, 1
Factor 5*m**3/6 + 65*m**2/6 - 160*m/3 + 170/3.
5*(m - 2)**2*(m + 17)/6
Suppose -16*d**4 - 4*d**3 + 120*d**2 + 108*d = 0. Calculate d.
-9/4, -1, 0, 3
Solve -3*z**5 - 114*z**4 - 420*z**3 - 408*z**2 = 0.
-34, -2, 0
Find f, given that 2*f**5/3 + 4*f**4 + 10*f**3/3 - 40*f**2/3 - 24*f - 32/3 = 0.
-4, -2, -1, 2
Factor 3*p**3 + 195*p**2 + 3264*p + 3072.
3*(p + 1)*(p + 32)**2
Let -2*c**3 - 396*c**2 - 17010*c + 264600 = 0. What is c?
-105, 12
Find q such that -2*q**3/17 - 18*q**2/17 + 172*q = 0.
-43, 0, 34
Determine o, given that -5*o**2 + 1640*o = 0.
0, 328
Determine d so that d**4/6 - d**3/2 - d**2/6 + d/2 = 0.
-1, 0, 1, 3
Suppose -w**5/5 + w**4/5 + 6*w**3/5 - 14*w**2/5 + 11*w/5 - 3/5 = 0. What is w?
-3, 1
Factor t**2/2 + 135*t + 801/2.
(t + 3)*(t + 267)/2
Factor -w**3 + 26*w**2 + 117*w + 90.
-(w - 30)*(w + 1)*(w + 3)
Let -2*s**3 + 8*s**2 + 2*s - 8 = 0. What is s?
-1, 1, 4
Suppose 3*k**2 - 6*k + 3 = 0. What is k?
1
Factor -686*t**5 - 25480*t**4 + 22176*t**3 - 6368*t**2 + 608*t.
-2*t*(t + 38)*(7*t - 2)**3
Suppose -3*g**3 + 3075*g**2 - 789504*g + 786432 = 0. What is g?
1, 512
Factor h**3/2 - 13*h**2/4 - h/2 + 13/4.
(h - 1)*(h + 1)*(2*h - 13)/4
Factor -2*b**2/9 - 50*b/9 + 784/3.
-2*(b - 24)*(b + 49)/9
Factor v**2/2 - 29*v/2.
v*(v - 29)/2
What is z in 3*z**4/7 - 111*z**3/7 - 879*z**2/7 - 279*z - 1188/7 = 0?
-3, -1, 44
Factor 4*y**2 - 80*y + 144.
4*(y - 18)*(y - 2)
Determine q so that -q**2 + 361*q - 360 = 0.
1, 360
What is c in 20*c**5/9 - 886*c**4/3 + 2360*c**3/9 + 710*c**2/3 - 2380*c/9 + 176/3 = 0?
-1, 2/5, 1/2, 1, 132
Factor r**2 - 22*r + 120.
(r - 12)*(r - 10)
Determine d so that d**3/2 - 8*d**2/3 + 17*d/6 - 2/3 = 0.
1/3, 1, 4
Determine q so that -2*q**5/3 + 2*q**4/3 + 14*q**3/3 - 2*q**2/3 - 4*q = 0.
-2, -1, 0, 1, 3
Factor 3*a**2 + 39*a + 66.
3*(a + 2)*(a + 11)
Find h, given that -12*h**4/5 - 164*h**3/5 - 424*h**2/5 + 32*h = 0.
-10, -4, 0, 1/3
Factor -2*g**3/7 - 3818*g**2/7 - 1824048*g/7 - 1820232/7.
-2*(g + 1)*(g + 954)**2/7
Determine z, given that 324*z**4/5 - 144*z**3/5 - 308*z**2/5 + 144*z/5 - 16/5 = 0.
-1, 2/9, 1
Find x such that 4*x**3 + 1408*x**2 - 2828*x + 1416 = 0.
-354, 1
What is d in 4*d**2/3 + 20*d + 104/3 = 0?
-13, -2
Solve -3*o**5 - 51*o**4 - 234*o**3 - 420*o**2 - 264*o = 0.
-11, -2, 0
What is j in -2*j**5 + 8*j**4 - 6*j**3 = 0?
0, 1, 3
Solve -5*s**2 - 1635*s = 0.
-327, 0
Suppose 4*k**5 + 88*k**4 + 472*k**3 - 272*k**2 - 1628*k - 968 = 0. What is k?
-11, -1, 2
Factor -3*i**3/2 + 27*i**2 - 141*i/2 + 45.
-3*(i - 15)*(i - 2)*(i - 1)/2
Find x such that -2*x**3/3 - 10*x**2 + 212*x/3 + 80 = 0.
-20, -1, 6
Determine j so that j**4/2 - 10*j**3 - 4021*j**2 + 40710*j + 16573041/2 = 0.
-59, 69
Factor -4*o**4 + 72*o**3 + 244*o**2 + 168*o.
-4*o*(o - 21)*(o + 1)*(o + 2)
Factor 4*n**3/13 + 22*n**2/13 - 14*n/13 - 12/13.
2*(n - 1)*(n + 6)*(2*n + 1)/13
Factor -2*g**3/11 - 78*g**2/11 - 460*g/11 - 384/11.
-2*(g + 1)*(g + 6)*(g + 32)/11
Determine o so that -4*o**4/5 + 416*o**3/5 = 0.
0, 104
Factor -2*q**5/23 - 34*q**4/23 - 62*q**3/23 - 30*q**2/23.
-2*q**2*(q + 1)**2*(q + 15)/23
Factor 5*p**4 - 270*p**3 + 780*p**2 - 770*p + 255.
5*(p - 51)*(p - 1)**3
Determine s, given that -4*s**4 + 520*s**3 + 12*s**2 - 1568*s + 1040 = 0.
-2, 1, 130
Suppose -67*w**5/4 - 1535*w**4/4 - 9443*w**3/4 - 7249*w**2/4 + 363*w/2 = 0. What is w?
-11, -1, 0, 6/67
Factor 5*a**2 - 430*a + 5600.
5*(a - 70)*(a - 16)
Let 1940*p**2 - 8*p/3 = 0. Calculate p.
0, 2/1455
Find x, given that -3*x**4 + 12*x**3 + 3*x**2 - 12*x = 0.
-1, 0, 1, 4
Factor 5*q**2 + 1260*q - 2540.
5*(q - 2)*(q + 254)
Factor 9*g**4 + 61*g**3 + 121*g**2 + 51*g - 18.
(g + 1)*(g + 3)**2*(9*g - 2)
Let 12*u**5 - 45*u**4 - 144*u**3 - 105*u**2 - 18*u = 0. Calculate u.
-1, -1/4, 0, 6
Factor 5*j**4 - 10*j**3 - 15*j**2 + 20*j + 20.
5*(j - 2)**2*(j + 1)**2
Suppose t**4 - 43*t**3 + 510*t**2 - 800*t - 4000 = 0. Calculate t.
-2, 5, 20
What is a in -2*a**2 + 4*a + 96 = 0?
-6, 8
Find v such that -5*v**3/3 + 85*v**2/3 - 70*v/3 - 160/3 = 0.
-1, 2, 16
Factor w**2/7 + 25*w/7.
w*(w + 25)/7
Solve -4*m**4/7 - 138*m**3/7 - 708*m**2/7 + 9280*m/7 + 4800/7 = 0.
-20, -1/2, 6
Factor -4*s**4 - 8*s**3 + 16*s**2 + 32*s.
-4*s*(s - 2)*(s + 2)**2
Let -2*c**3/9 + 316*c**2/9 - 208*c/3 = 0. Calculate c.
0, 2, 156
Solve -2*p**4 - 14*p**3 + 6*p**2 + 126*p + 108 = 0 for p.
-6, -3, -1, 3
Solve -2*l**2/7 + 2144*l/7 - 574592/7 = 0 for l.
536
Factor 5*j**4 + 985*j**3.
5*j**3*(j + 197)
Factor 2*c**2 + 860*c + 858.
2*(c + 1)*(c + 429)
Solve z**2 - 21*z + 38 = 0.
2, 19
Suppose 16*q**5/3 + 56*q**4/3 - 5*q**3 - 100*q**2/3 + 49*q/3 - 2 = 0. Calculate q.
-3, -2, 1/4, 1
Factor -49*r**4 - 896*r**3 + 678*r**2 + 248*r + 19.
-(r - 1)*(r + 19)*(7*r + 1)**2
Solve 4*p**3 - 12*p**2 - 16*p = 0.
-1, 0, 4
Let c**3/4 - 25*c**2/4 + 203*c/4 - 539/4 = 0. Calculate c.
7, 11
Find j such that -4*j**4 + 572*j**3 + 1740*j**2 + 1748*j + 584 = 0.
-1, 146
Suppose -2*a**2/13 + 40*a/13 - 102/13 = 0. What is a?
3, 17
Solve 2*q**3/15 - 114*q**2/5 - 208*q/3 - 232/5 = 0 for q.
-2, -1, 174
Factor g**2/6 - 59*g/6 + 68.
(g - 51)*(g - 8)/6
Factor -3*b**4/8 - 3*b**3/2 + 3*b**2/8 + 3*b/2.
-3*b*(b - 1)*(b + 1)*(b + 4)/8
Suppose 2*o**3 - 42*o**2 + 198*o - 270 = 0. What is o?
3, 15
Determine k so that 63*k**5/5 - 159*k**4 + 3729*k**3/5 - 7869*k**2/5 + 6876*k/5 - 1404/5 = 0.
2/7, 2, 3, 13/3
Factor -3*x**3 - 9*x**2 - 6*x.
-3*x*(x + 1)*(x + 2)
Let -3*j**3 - 537*j**2 - 21432*j + 238572 = 0. What is j?
-94, 9
Determine v so that -2*v**4/5 + 88*v**3/5 - 1248*v**2/5 + 1152*v = 0.
0, 12, 20
Suppose -2*b**2 - 2426*b + 2428 = 0. What is b?
-1214, 1
Factor -369*u**2 + 5*u.
-u*(369*u - 5)
What is r in -6*r**5/11 - 48*r**4/11 + 18*r**3/11 + 780*r**2/11 + 1200*r/11 = 0?
-5, -2, 0, 4
Determine n, given that 3*n**5/7 - 6*n**4/7 - 24*n**3/7 + 48*n**2/7 + 48*n/7 - 96/7 = 0.
-2, 2
Determine z so that -4*z**4 - 32*z**3 - 28*z**2 = 0.
-7, -1, 0
Solve 2*k**3/11 - 14*k**2/11 - 16*k/11 = 0.
-1, 0, 8
Factor 2*a**2/11 + 138*a/11 + 1456/11.
2*(a + 13)*(a + 56)/11
Factor -2*b**3/9 - 10*b**2/9 + 16*b/9 + 32/3.
-2*(b - 3)*(b + 4)**2/9
Solve 3*i**4/4 - 3*i**3/4 - 3*i**2 + 3*i = 0.
-2, 0, 1, 2
Suppose 5*z**4 + 160*z**3 + 1705*z**2 + 6050*z = 0. Calculate z.
-11, -10, 0
Factor 2*p**3/5 - 184*p**2/5 + 3552*p/5 - 19584/5.
2*(p - 68)*(p - 12)**2/5
Factor -2*i**2/5 + 788*i/5 - 77618/5.
-2*(i - 197)**2/5
Factor n**4/6 + 5*n**3/2 + 7*n**2/3.
n**2*(n + 1)*(n + 14)/6
Solve -2*g**2 + 6*g + 8 = 0.
-1, 4
Factor -5*w**2 + 1845*w - 1840.
-5*(w - 368)*(w - 1)
Factor 2*b**2/3 - 2296*b + 1976856.
2*(b - 1722)**2/3
Suppose 2*t**5 - 10*t**4 - 60*t**3 + 80*t**2 + 128*t = 0. What is t?
-4, -1, 0, 2, 8
Find z, given that 2*z**3/5 - 596*z**2/5 + 44402*z/5 = 0.
0, 149
Suppose m**2 + 19*m + 34 