*2 - 90*s.
5*s*(s - 18)*(s + 1)
Factor -y**3/8 + 107*y**2/4 + y/8 - 107/4.
-(y - 214)*(y - 1)*(y + 1)/8
Factor -i**3/3 + 5*i**2/3 - 2*i/3 - 8/3.
-(i - 4)*(i - 2)*(i + 1)/3
Let -3*w**2 - 6843*w/2 + 3423/2 = 0. What is w?
-1141, 1/2
Factor -3*p**3/5 - 24*p**2/5 - 3*p + 30.
-3*(p - 2)*(p + 5)**2/5
Factor -2*g**2 - 4237*g - 2118.
-(g + 2118)*(2*g + 1)
Determine w so that 3*w**2/4 - 51*w/4 + 12 = 0.
1, 16
Suppose -5*d**3 + 1315*d**2 - 87115*d + 85805 = 0. Calculate d.
1, 131
Suppose -2*k**4/5 - 2*k**3 + 2*k**2/5 + 34*k/5 - 24/5 = 0. What is k?
-4, -3, 1
Factor 45*k**2 + 170*k - 40.
5*(k + 4)*(9*k - 2)
Solve -2*v**3/7 + 72*v**2/7 - 138*v/7 + 68/7 = 0.
1, 34
Factor 2*f**4 - 16*f**3 + 36*f**2 - 32*f + 10.
2*(f - 5)*(f - 1)**3
Let s**2/10 - 54*s + 7290 = 0. What is s?
270
Determine n so that n**5/3 - 174*n**4 + 69158*n**3/3 - 270916*n**2/3 + 112147*n - 134162/3 = 0.
1, 2, 259
Factor 3*q**2/2 - 10*q - 23/2.
(q + 1)*(3*q - 23)/2
Factor -3*q**2/2 + 8763*q - 25596723/2.
-3*(q - 2921)**2/2
What is k in -4*k**5/3 + 20*k**3 + 40*k**2/3 - 80*k - 96 = 0?
-2, 3
Let -2*v**4/5 - 2*v**3/5 + 2*v**2/5 + 2*v/5 = 0. Calculate v.
-1, 0, 1
Factor -9*f**4 + 354*f**3 - 4680*f**2 + 21294*f - 6591.
-3*(f - 13)**3*(3*f - 1)
Find w, given that 4*w**5 - 56*w**4/3 - 148*w**3/3 + 112*w**2 - 48*w = 0.
-3, 0, 2/3, 1, 6
Factor -16*u**2 - 9028*u + 9044.
-4*(u - 1)*(4*u + 2261)
Suppose -y**3/4 - 185*y**2/4 - 46*y = 0. What is y?
-184, -1, 0
Determine n so that -3*n**2 + 49722*n - 206023107 = 0.
8287
Determine n so that 5*n**2 - 6550*n = 0.
0, 1310
Factor 4*k**2/17 - 30*k/17 - 16/17.
2*(k - 8)*(2*k + 1)/17
Find d such that 5*d**2 - 150*d - 155 = 0.
-1, 31
Find o such that -o**5/7 + 10*o**4/7 - 13*o**3/7 - 24*o**2/7 = 0.
-1, 0, 3, 8
Let -4*z**4 + 16*z**3 + 20*z**2 = 0. What is z?
-1, 0, 5
Factor 2*v**4/9 + 8*v**3/9 - 40*v**2/3 - 64*v.
2*v*(v - 8)*(v + 6)**2/9
Factor -4*f**3/5 + 504*f**2/5 - 3456*f + 17280.
-4*(f - 60)**2*(f - 6)/5
What is h in h**2/7 - 1076*h/7 + 289444/7 = 0?
538
Factor -2*g**3/21 - 68*g**2/7 - 390*g/7 - 576/7.
-2*(g + 3)**2*(g + 96)/21
Let -2*p**4 + 45*p**3 + 2*p**2 - 45*p = 0. What is p?
-1, 0, 1, 45/2
Find g such that -2*g**3/7 + 22*g**2/7 - 16*g/7 - 40/7 = 0.
-1, 2, 10
Factor 112*k**5/5 + 88*k**4/5 + 23*k**3/5 + 2*k**2/5.
k**2*(4*k + 1)**2*(7*k + 2)/5
Factor 20*f**3 - 261*f**2 + 253*f - 12.
(f - 12)*(f - 1)*(20*f - 1)
Factor -6*l**5 - 190*l**4 - 5750*l**3/3 - 5170*l**2 + 9680*l - 10648/3.
-2*(l + 11)**3*(3*l - 2)**2/3
Suppose 5*r**4 + 70*r**3 + 65*r**2 = 0. What is r?
-13, -1, 0
Determine p, given that -2*p**5 - 18*p**4 + 36*p**3 + 136*p**2 - 240*p = 0.
-10, -3, 0, 2
Factor 4*k**5 + 40*k**4 + 132*k**3 + 160*k**2 + 64*k.
4*k*(k + 1)**2*(k + 4)**2
Let 2*v**3/7 + 44*v**2/7 + 82*v/7 + 40/7 = 0. What is v?
-20, -1
Find j such that -124*j**2/5 + 4*j/5 = 0.
0, 1/31
Factor m**3 - 4*m**2 - m + 4.
(m - 4)*(m - 1)*(m + 1)
Factor l**3 - 31*l**2 - 32*l.
l*(l - 32)*(l + 1)
Factor q**3/3 + 216*q**2 - q/3 - 216.
(q - 1)*(q + 1)*(q + 648)/3
Factor 12*c**2 + 734*c + 2204.
2*(c + 58)*(6*c + 19)
Find n such that 2*n**2/13 + 2332*n/13 + 679778/13 = 0.
-583
Factor r**2/5 - 9*r/5.
r*(r - 9)/5
Factor 25*x**2 - 1630*x + 325.
5*(x - 65)*(5*x - 1)
Solve -i**4/8 - 5*i**3/8 + 21*i**2/8 - 23*i/8 + 1 = 0 for i.
-8, 1
Suppose -y**3/5 + 4*y**2 + 43*y/5 + 22/5 = 0. Calculate y.
-1, 22
Suppose 3*b**3/8 - 3*b/8 = 0. Calculate b.
-1, 0, 1
Factor 2*z**4/21 - 52*z**3/21 - 18*z**2/7.
2*z**2*(z - 27)*(z + 1)/21
Factor 5*a**5 - 20*a**3 - 10*a**2 + 15*a + 10.
5*(a - 2)*(a - 1)*(a + 1)**3
Solve -4*u**3 + 56*u**2 - 236*u + 280 = 0.
2, 5, 7
What is z in z**2 + 45*z + 350 = 0?
-35, -10
Suppose 4*q**4 - 192*q**3 + 184*q**2 + 192*q - 188 = 0. What is q?
-1, 1, 47
Factor -4*d**2 + 4*d + 528.
-4*(d - 12)*(d + 11)
Find w such that -3*w**4 - 21*w**3 + 12*w**2 + 84*w = 0.
-7, -2, 0, 2
Factor b**3/7 - 41*b**2/7 + 104*b/7 + 380/7.
(b - 38)*(b - 5)*(b + 2)/7
Find l such that -2*l**4 - 58*l**3 - 54*l**2 + 58*l + 56 = 0.
-28, -1, 1
Determine b, given that 4*b**2 - 16*b - 180 = 0.
-5, 9
What is i in -5*i**2/3 + 1695*i - 20260/3 = 0?
4, 1013
Let -5*w**2 + 168*w + 173 = 0. What is w?
-1, 173/5
Let 10*r**5/9 + 2*r**4/3 - 404*r**3/9 - 320*r**2/3 + 448*r/9 = 0. Calculate r.
-4, 0, 2/5, 7
Solve -2*o**5/3 - 16*o**4/3 - 8*o**3/3 + 44*o**2/3 + 10*o/3 - 28/3 = 0.
-7, -2, -1, 1
What is y in y**5/8 + 15*y**4/8 - 35*y**3/8 - 15*y**2/8 + 17*y/4 = 0?
-17, -1, 0, 1, 2
Determine p, given that -5*p**3 + 60*p**2 - 160*p = 0.
0, 4, 8
What is t in -9*t**3 + 42*t**2 + 69*t + 18 = 0?
-1, -1/3, 6
What is d in -3*d**2 + 27*d + 30 = 0?
-1, 10
Let -2*c**2/7 - 32*c/7 + 34/7 = 0. Calculate c.
-17, 1
Factor 3*v**3/2 - 12*v**2 - 93*v/2 - 33.
3*(v - 11)*(v + 1)*(v + 2)/2
What is l in 4*l**5/5 - 1828*l**4/5 - 1104*l**3 - 16*l**2/5 + 1472*l = 0?
-2, 0, 1, 460
Find i, given that 4*i**3/3 - 3260*i**2 + 2656900*i - 2165373500/3 = 0.
815
Factor 3*y**2/2 - 6*y - 63/2.
3*(y - 7)*(y + 3)/2
Let -o**5/4 + o**4/4 + 81*o**3/4 - 81*o**2/4 = 0. What is o?
-9, 0, 1, 9
Factor 2*q**5 + 130*q**4 - 268*q**3 + 4*q**2 + 266*q - 134.
2*(q - 1)**3*(q + 1)*(q + 67)
Factor v**4/5 + 218*v**3/5 + 11881*v**2/5.
v**2*(v + 109)**2/5
Determine h so that -10*h**4/9 - 136*h**3/9 + 56*h**2/9 = 0.
-14, 0, 2/5
Solve 4*f**5/5 - 32*f**3/5 + 64*f/5 = 0.
-2, 0, 2
Find l, given that l**2 - 97*l + 96 = 0.
1, 96
Factor 4*a**3/7 + 248*a**2/7 + 256*a + 3456/7.
4*(a + 4)**2*(a + 54)/7
Factor -13*f**5/6 - 10*f**4 - 55*f**3/3 - 50*f**2/3 - 15*f/2 - 4/3.
-(f + 1)**4*(13*f + 8)/6
Find t, given that -2*t**2 + 162*t + 860 = 0.
-5, 86
Factor -5*v**4 + 80*v**2.
-5*v**2*(v - 4)*(v + 4)
Factor -t**2/5 - t/5 + 4.
-(t - 4)*(t + 5)/5
Factor 4*y**4/5 + 24*y**3/5 + 12*y**2/5 - 8*y.
4*y*(y - 1)*(y + 2)*(y + 5)/5
Factor 55*b**4 - 435*b**3 - 540*b**2.
5*b**2*(b - 9)*(11*b + 12)
Factor s**5 - 8*s**4.
s**4*(s - 8)
Suppose 2*o**3 + 12*o**2 - 14*o = 0. What is o?
-7, 0, 1
Solve 7*a**5/3 - 19*a**4/3 - 13*a**3/3 + 19*a**2/3 + 2*a = 0.
-1, -2/7, 0, 1, 3
Determine n, given that -n**5/5 - 43*n**4/5 - 523*n**3/5 - 1321*n**2/5 - 248*n - 80 = 0.
-20, -1
Factor 3*j**3/4 - 111*j**2/4 + 537*j/4 + 651/4.
3*(j - 31)*(j - 7)*(j + 1)/4
Factor -4*f**4 - 20*f**3 - 16*f**2.
-4*f**2*(f + 1)*(f + 4)
Factor 2*i**3 + 62*i**2 - 1058*i - 1118.
2*(i - 13)*(i + 1)*(i + 43)
Factor 9*s**4 + 348*s**3 + 228*s**2.
3*s**2*(s + 38)*(3*s + 2)
Find v, given that 2*v**2/21 - 88*v/21 + 86/21 = 0.
1, 43
Factor 2*y**2 - 24*y + 22.
2*(y - 11)*(y - 1)
Find m such that 4*m**4 - 24*m**3 - 80*m**2 + 600*m - 500 = 0.
-5, 1, 5
Factor t**3 - 18*t**2 + 35*t + 294.
(t - 14)*(t - 7)*(t + 3)
Suppose 10*z**5/3 - 32*z**4/3 - 104*z**3 - 544*z**2/3 - 256*z/3 = 0. What is z?
-2, -4/5, 0, 8
Factor 2*t**3 - 3244*t**2 - 2*t + 3244.
2*(t - 1622)*(t - 1)*(t + 1)
Solve -16*c**5 - 132*c**4 - 208*c**3 + 84*c**2 + 224*c + 48 = 0 for c.
-6, -2, -1, -1/4, 1
Factor 26*d**4/5 + 12*d**3 + 42*d**2/5 + 8*d/5.
2*d*(d + 1)**2*(13*d + 4)/5
Determine w, given that -5*w**3 - 220*w**2 - 820*w - 800 = 0.
-40, -2
Factor -3*b**3/4 - 132*b**2 - 516*b.
-3*b*(b + 4)*(b + 172)/4
Factor -2*k**4 - 24*k**3 + 6*k**2 + 76*k + 48.
-2*(k - 2)*(k + 1)**2*(k + 12)
Factor -17*s**3/6 - 62*s**2 + 22*s/3.
-s*(s + 22)*(17*s - 2)/6
Find a, given that -4*a**4 - 464*a**3 + 472*a**2 + 464*a - 468 = 0.
-117, -1, 1
Determine b so that 9*b**5 + 255*b**4 + 2433*b**3 + 8901*b**2 + 11418*b + 2904 = 0.
-11, -4, -2, -1/3
Solve -h**2/4 + 1002*h - 1004004 = 0.
2004
Factor -j**2/10 - 244*j/5 - 29768/5.
-(j + 244)**2/10
Determine n so that -12*n**4 + 620*n**3 - 408*n**2 = 0.
0, 2/3, 51
Find u, given that 2*u**2/15 + 1168*u/3 + 1946/5 = 0.
-2919, -1
Factor -2*i**2/3 + 56*i - 1606/3.
-2*(i - 73)*(i - 11)/3
Find s, given that 2*s**2/13 + 128*s/13 + 2048/13 = 0.
-32
Determine t, given that -t**2 + 1625*t + 1626 = 0.
-1, 1626
Find o such that 18*o**3/7 - 230*o**2/7 + 488*o/7 + 120/7 = 0.
-2/9, 3, 10
Suppose 3*v**5 + 27*v**4 + 63*v**3 + 57*v**2 + 18*v = 0. What is v?
-6, -1, 0
Factor u**4/2 - 104*u**3 + 8112*u**2 - 281216*u + 3655808.
(u - 52)**4/2
Factor i**2 + 462*i + 461.
(i + 1)*(i + 461)
Determine u, given that 2*u**2/9 - 28*u/9 + 32/3 = 0.
6, 8
Find k, given that 2*k**2 - 24*k - 56 = 0.
-2, 14
What is k in k**3/2 - 47*k**2/2 + 255*k/2 - 369/2 = 0?
3, 41
What is m in -2*m**4 + 44*m**3 + 6*m**2 - 136*m + 88 = 0?
-2, 1, 22
Let 8*s**4