*u/7.
u*(u - 2)*(u - 1)*(u + 1)/7
Determine k, given that -15*k**5 + 427*k**4/4 - 955*k**3/4 + 921*k**2/4 - 385*k/4 + 13 = 0.
1/4, 13/15, 1, 4
Find j, given that -17*j**4/4 - 69*j**3/2 - 203*j**2/4 + 159*j/2 + 10 = 0.
-5, -4, -2/17, 1
Factor l**2 - 720*l + 129600.
(l - 360)**2
Factor -2*o**3/9 + 16*o**2/9 - 38*o/9 + 8/3.
-2*(o - 4)*(o - 3)*(o - 1)/9
Factor 3*w**5 + 3*w**4 - 36*w**3 - 84*w**2 - 48*w.
3*w*(w - 4)*(w + 1)*(w + 2)**2
Find t such that 18*t**3 + 104*t**2 - 312*t + 64 = 0.
-8, 2/9, 2
Determine o, given that 2*o**3/3 + 896*o**2/15 - 440*o/3 + 736/15 = 0.
-92, 2/5, 2
Factor j**3/4 - 2*j**2.
j**2*(j - 8)/4
Factor 5*d**4 + 130*d**3 + 1065*d**2 + 2860*d + 2420.
5*(d + 2)**2*(d + 11)**2
Solve -3*n**5 + 18*n**4 + 30*n**3 - 60*n**2 - 27*n + 42 = 0 for n.
-2, -1, 1, 7
Solve 8*y**5 - 24*y**4 - 86*y**3 + 16*y**2 + 66*y + 20 = 0 for y.
-2, -1/2, 1, 5
Factor -14*c**2/9 - 310*c/9 - 44/9.
-2*(c + 22)*(7*c + 1)/9
Factor -4*y**3 - 20*y**2 + 128*y - 144.
-4*(y - 2)**2*(y + 9)
Factor 3*p**2 + 1044*p.
3*p*(p + 348)
Factor j**5 + 97*j**4 + 3069*j**3 + 29403*j**2 - 71874*j.
j*(j - 2)*(j + 33)**3
Find s such that 4*s**3 - 164*s**2 + 1408*s + 5808 = 0.
-3, 22
Let -3*u**4/5 - 9*u**3 - 42*u**2/5 = 0. What is u?
-14, -1, 0
Factor w**3/4 - 3*w**2/4.
w**2*(w - 3)/4
Factor 4*k**4 - 96*k**3 - 220*k**2 + 312*k.
4*k*(k - 26)*(k - 1)*(k + 3)
Factor 5*c**2 - 375*c + 370.
5*(c - 74)*(c - 1)
Find u, given that 14*u**5/15 + 8*u**4/5 - 22*u**3/15 - 8*u**2/5 + 8*u/15 = 0.
-2, -1, 0, 2/7, 1
Factor -5*k**4 - 75*k**3 - 220*k**2.
-5*k**2*(k + 4)*(k + 11)
Let m**3 - 17*m**2 + 75*m - 99 = 0. Calculate m.
3, 11
Suppose -n**3/4 - 23*n**2/4 - 41*n - 88 = 0. Calculate n.
-11, -8, -4
Factor 35*l**3/6 + 715*l**2/6 - 145*l/2 - 105/2.
5*(l - 1)*(l + 21)*(7*l + 3)/6
Determine c, given that 3*c**5/7 + 87*c**4/7 - 1755*c**3/7 + 9525*c**2/7 - 16500*c/7 = 0.
-44, 0, 5
Determine v so that v**2/6 - 17*v + 101/6 = 0.
1, 101
Factor 4*z**3 - 268*z**2 - 552*z.
4*z*(z - 69)*(z + 2)
Suppose -57*n**3 - 63*n**2 + 336*n + 36 = 0. What is n?
-3, -2/19, 2
Factor 2*i**3/9 + 14*i**2/9 + 32*i/9 + 8/3.
2*(i + 2)**2*(i + 3)/9
Let -2*i**2/3 + 8844*i - 29331126 = 0. Calculate i.
6633
Factor 3*b**4 + 12*b**3 - 3*b**2 - 12*b.
3*b*(b - 1)*(b + 1)*(b + 4)
Factor 2*i**3/13 - 90*i**2/13 + 966*i/13 - 3038/13.
2*(i - 31)*(i - 7)**2/13
Factor v**4/10 - 7*v**3/10 + 9*v**2/5 - 2*v + 4/5.
(v - 2)**3*(v - 1)/10
Factor 4*d**4 + 108*d**3 + 940*d**2 + 2772*d + 1936.
4*(d + 1)*(d + 4)*(d + 11)**2
Factor -74*j**4 + 160*j**3 - 98*j**2 + 12*j.
-2*j*(j - 1)**2*(37*j - 6)
Let -3*x**2 + 138*x - 387 = 0. What is x?
3, 43
Suppose 2*l**4 + 216*l**3 - 6*l**2 - 652*l - 432 = 0. What is l?
-108, -1, 2
Factor 4*k**3/3 - 394*k**2 + 38809*k - 7645373/6.
(2*k - 197)**3/6
Determine t so that -3*t**3/4 - 18*t**2 - 108*t = 0.
-12, 0
Factor 23*q**3 - 3*q**2 - 23*q + 3.
(q - 1)*(q + 1)*(23*q - 3)
Determine v so that -78*v**4 - 386*v**3 - 526*v**2 - 206*v + 12 = 0.
-3, -1, 2/39
Factor 21*a**4/2 + 564*a**3 - 162*a**2.
3*a**2*(a + 54)*(7*a - 2)/2
Suppose j**2 + 156*j + 6084 = 0. Calculate j.
-78
Factor g**2 - 5338*g + 7123561.
(g - 2669)**2
Factor -5*k**4 + 55*k**3 - 40*k**2 - 100*k.
-5*k*(k - 10)*(k - 2)*(k + 1)
Let -3*i**2 - 24*i - 48 = 0. Calculate i.
-4
Factor -2*m**2/7 + 96*m/7 - 1152/7.
-2*(m - 24)**2/7
Find t such that -3*t**5/2 - t**4 + 13*t**3/2 + 4*t**2 - 2*t = 0.
-2, -1, 0, 1/3, 2
Factor 7*r**3 + 4734*r**2 + 1352*r.
r*(r + 676)*(7*r + 2)
Factor -q**4 + 6*q**3 - q**2 - 24*q - 16.
-(q - 4)**2*(q + 1)**2
Find y such that -2*y**4/9 + 8*y**3 + 76*y**2/3 + 232*y/9 + 26/3 = 0.
-1, 39
Factor z**3/7 + 16*z**2/7 - 101*z/7 + 12.
(z - 4)*(z - 1)*(z + 21)/7
Suppose 18*a**2 - 219*a + 645 = 0. What is a?
5, 43/6
Let s**4/5 - 34*s**3/5 - 43*s**2/5 + 268*s/5 + 84 = 0. What is s?
-2, 3, 35
Factor -2*q**3 + 2*q**2 + 8*q - 8.
-2*(q - 2)*(q - 1)*(q + 2)
Factor 3*z**4/7 + 72*z**3/7 - 153*z**2/7 + 78*z/7.
3*z*(z - 1)**2*(z + 26)/7
Suppose -27*v**2/7 + 17355*v/7 + 3858/7 = 0. Calculate v.
-2/9, 643
Factor -2*d**3/19 - 14*d**2/19 - 12*d/19.
-2*d*(d + 1)*(d + 6)/19
Find l, given that l**2/3 + 11*l/3 + 28/3 = 0.
-7, -4
Determine y, given that 30*y**3 - 295*y**2 - 680*y - 355 = 0.
-1, 71/6
Determine r, given that -104*r**2/19 - 2174*r/19 - 332/19 = 0.
-83/4, -2/13
Factor x**3 + 63*x**2 + 1023*x + 961.
(x + 1)*(x + 31)**2
Suppose 3*p**3/2 - 1215*p**2/2 + 61812*p - 61206 = 0. What is p?
1, 202
Determine d, given that -2*d**3 + 1666*d**2 - 346110*d - 347778 = 0.
-1, 417
Find f, given that -f**2/6 - 41*f/6 = 0.
-41, 0
Factor -2*k**2 - 24*k + 320.
-2*(k - 8)*(k + 20)
What is v in -2*v**5 - 22*v**4 - 88*v**3 - 152*v**2 - 96*v = 0?
-4, -3, -2, 0
Factor 4*f**4/3 + 112*f**3/3 + 976*f**2/3 + 896*f + 768.
4*(f + 2)**2*(f + 12)**2/3
Factor 3*g**4 - 348*g**3 - 1425*g**2 - 1794*g - 720.
3*(g - 120)*(g + 1)**2*(g + 2)
Solve 30*i**4 - 185*i**3 + 390*i**2 - 300*i + 40 = 0.
1/6, 2
Determine s so that -4*s**3 - 1092*s**2 - 99372*s - 3014284 = 0.
-91
Solve 2*n**3/5 + 104*n**2/5 + 66*n - 30492/5 = 0.
-33, 14
Solve -5*d**3 - 50*d**2 + 4340*d - 37240 = 0.
-38, 14
Determine u so that -u**4/6 - u**3/6 + 7*u**2/3 + 4*u = 0.
-3, -2, 0, 4
Suppose -s**3/7 - 15*s**2/7 - 72*s/7 - 108/7 = 0. Calculate s.
-6, -3
Factor -2*y**3/9 - 8*y**2/9 - 2*y/9 + 4/3.
-2*(y - 1)*(y + 2)*(y + 3)/9
Factor v**3/4 + 33*v**2/4 + 115*v/2 - 66.
(v - 1)*(v + 12)*(v + 22)/4
Suppose -2*s**4/9 + 16*s**3/9 + 436*s**2/9 - 208*s - 3042 = 0. Calculate s.
-9, 13
Suppose -f**5/6 + 2*f**4/3 + f**3/2 - 7*f**2/3 + 4*f/3 = 0. Calculate f.
-2, 0, 1, 4
Factor 4*n**5 + 24*n**4 + 12*n**3 - 40*n**2.
4*n**2*(n - 1)*(n + 2)*(n + 5)
What is a in 3*a**2/4 + 12*a + 36 = 0?
-12, -4
Solve -2*p**3/15 + 14*p**2/3 + 2*p/15 - 14/3 = 0 for p.
-1, 1, 35
Suppose 3*w**5/5 + 33*w**4/5 - 9*w**3/5 - 21*w**2 - 66*w/5 = 0. What is w?
-11, -1, 0, 2
Factor -4*a**3/5 + 2000*a**2 - 6239988*a/5 - 12520008/5.
-4*(a - 1251)**2*(a + 2)/5
Factor -2*k**2/5 + 108*k/5 - 106/5.
-2*(k - 53)*(k - 1)/5
Factor l**4/11 + 18*l**3/11 + 16*l**2/11 - 18*l/11 - 17/11.
(l - 1)*(l + 1)**2*(l + 17)/11
Factor 5*t**2 + 110*t + 585.
5*(t + 9)*(t + 13)
Factor x**4 + x**3 - 37*x**2 + 35*x.
x*(x - 5)*(x - 1)*(x + 7)
Let -32*c**4 + 176*c**3 + 110*c**2 - 86*c + 12 = 0. Calculate c.
-1, 1/4, 6
Let n**3/4 - 101*n**2/4 - 637*n/4 - 535/4 = 0. What is n?
-5, -1, 107
Determine q, given that 196*q**3/5 - 1564*q**2/5 - 32*q/5 = 0.
-1/49, 0, 8
Factor -d**3/3 - 40*d**2/3 + 1100*d/3 - 2000.
-(d - 10)**2*(d + 60)/3
Determine u, given that 3*u**2 + 891*u + 1770 = 0.
-295, -2
Suppose -4*a**5 - 4*a**4 + 24*a**3 - 8*a**2 - 20*a + 12 = 0. What is a?
-3, -1, 1
Factor 3*t**4 + 234*t**3 - 972*t**2 + 984*t.
3*t*(t - 2)**2*(t + 82)
Find n such that n**2/2 + 20*n - 41/2 = 0.
-41, 1
Factor -j**4/4 - 26*j**3 + j**2/4 + 26*j.
-j*(j - 1)*(j + 1)*(j + 104)/4
Find t such that 2*t**3/3 - 54*t**2 + 160*t/3 = 0.
0, 1, 80
Factor 2*q**4/3 + 12*q**3 + 194*q**2/3 + 96*q + 128/3.
2*(q + 1)**2*(q + 8)**2/3
Let x**5 + 10*x**4 + 16*x**3 - 2*x**2 - 17*x - 8 = 0. What is x?
-8, -1, 1
Factor p**5/4 - p**4 - 11*p**3/4 - 3*p**2/2.
p**2*(p - 6)*(p + 1)**2/4
Let 4*l**3/7 - 18*l**2/7 - 48*l/7 - 26/7 = 0. What is l?
-1, 13/2
Factor -2*j**2/11 - 2422*j/11.
-2*j*(j + 1211)/11
Let -3*q**3 + 432*q**2 - 15975*q + 30246 = 0. Calculate q.
2, 71
Solve -5*f**2 + 5440*f - 1479680 = 0.
544
Solve -2*n**3/17 + 44*n**2/17 - 106*n/17 - 152/17 = 0 for n.
-1, 4, 19
Let -c**4 + 4*c**3 + 87*c**2 + 126*c - 216 = 0. What is c?
-6, -3, 1, 12
Factor 2*h**2 - 10*h.
2*h*(h - 5)
Factor 2*p**3 + 30*p**2 - 44*p - 192.
2*(p - 3)*(p + 2)*(p + 16)
Factor -22*b**3 - 18*b**2 + 4*b.
-2*b*(b + 1)*(11*b - 2)
What is w in 4*w**3/9 - 94*w**2/9 + 176*w/3 + 32 = 0?
-1/2, 12
Factor 3*l**4 + 63*l**3 + 360*l**2 + 300*l.
3*l*(l + 1)*(l + 10)**2
Suppose -30*j**5 + 245*j**4 - 640*j**3 + 555*j**2 + 70*j - 200 = 0. What is j?
-1/2, 1, 5/3, 2, 4
Factor 3*d**5 - 39*d**4 + 117*d**3 - 81*d**2.
3*d**2*(d - 9)*(d - 3)*(d - 1)
Find z such that 2*z**3/15 + 2*z**2/5 - 16*z/3 = 0.
-8, 0, 5
Factor -5*k**3 - 31365*k**2 - 65584215*k - 45712197855.
-5*(k + 2091)**3
Solve -q**2 + 2*q = 0 for q.
0, 2
Factor 2*n**2 + 3700*n + 1711250.
2*(n + 925)**2
Suppose -52*g**4 - 6196*g**3 + 17976*g**2 - 9776*g - 1952 = 0. Calculate g.
-122, -2/13, 1, 2
Suppose w**5/6 - 5*w**4 + 86*w**3/3 + 91*w**2 - 3773*w/6 -