 1125*d**4 + 300*d**3 + 20*d**2.
5*d**2*(15*d + 2)**2
Determine s, given that 16*s**4 + 196*s**3 - 400*s**2 - 112*s = 0.
-14, -1/4, 0, 2
Factor -m**4/7 - 25*m**3/7 - 108*m**2/7 + 100*m + 112.
-(m - 4)*(m + 1)*(m + 14)**2/7
Factor -2*f**3/5 - 246*f**2/5 - 10086*f/5 - 137842/5.
-2*(f + 41)**3/5
Let -4*u**3/7 - 2840*u**2/7 - 73216*u - 2973696/7 = 0. What is u?
-352, -6
Suppose -2*d**2/3 + 136*d/3 + 280/3 = 0. Calculate d.
-2, 70
Factor n**4/2 + 4*n**3 + 12*n**2 + 16*n + 8.
(n + 2)**4/2
Factor 2*l**3 + 8*l**2 - 14*l - 20.
2*(l - 2)*(l + 1)*(l + 5)
Factor -2*u**4/5 + 64*u**3/5 - 512*u**2/5.
-2*u**2*(u - 16)**2/5
What is l in l**5/6 + l**4/3 - 9*l**3/2 + 18*l = 0?
-6, -2, 0, 3
Factor -6*l**3 + 14*l**2 - 4*l.
-2*l*(l - 2)*(3*l - 1)
Suppose -o**5/4 - 3*o**4/4 + 5*o**3/2 - o**2/2 - 9*o/4 + 5/4 = 0. Calculate o.
-5, -1, 1
Determine j, given that -3*j**3/5 + 201*j**2/5 + 843*j/5 + 639/5 = 0.
-3, -1, 71
Factor 3*l**2 + 36*l.
3*l*(l + 12)
Suppose k**3/3 + 26*k**2 = 0. What is k?
-78, 0
Factor -f**2 + 101*f - 198.
-(f - 99)*(f - 2)
Factor 2*g**2/9 - 62*g/9 + 56/3.
2*(g - 28)*(g - 3)/9
Suppose 2*j**2/5 + 10092*j/5 + 12731058/5 = 0. What is j?
-2523
Find m, given that m**4/2 + m**3/2 - m**2 = 0.
-2, 0, 1
Solve 2*b**2 + 3930*b + 3928 = 0.
-1964, -1
Find x such that 2*x**4 - 34*x**3 + 186*x**2 - 414*x + 324 = 0.
2, 3, 9
Determine c, given that 5*c**5 - 60*c**4 - 225*c**3 = 0.
-3, 0, 15
Factor 3*p**3/4 - 258*p**2 + 22188*p.
3*p*(p - 172)**2/4
What is t in 3*t**3 - 21*t**2 + 24*t + 48 = 0?
-1, 4
Let -5*f**3 + 2155*f**2 + 17480*f + 35120 = 0. What is f?
-4, 439
Factor -6*o**2/11 - 30*o/11 + 84/11.
-6*(o - 2)*(o + 7)/11
What is t in 2*t**2/11 + 94*t/11 - 636/11 = 0?
-53, 6
Factor -u**2/2 + 107*u/2 + 280.
-(u - 112)*(u + 5)/2
Determine h so that 5*h**3 - 195*h**2 + 1995*h - 1805 = 0.
1, 19
Factor -4*k**3 + 68*k**2 + 4*k - 68.
-4*(k - 17)*(k - 1)*(k + 1)
Factor -3*r**3 - 237*r**2 + 240*r.
-3*r*(r - 1)*(r + 80)
Find i, given that -2*i**2 + 30*i - 52 = 0.
2, 13
What is q in 2*q**4 + 168*q**3 - 1462*q**2 + 1020*q + 9200 = 0?
-92, -2, 5
What is y in 3*y**4 + 36*y**3 + 156*y**2 + 288*y + 192 = 0?
-4, -2
Factor 44*j**3/3 + 8*j**2/3.
4*j**2*(11*j + 2)/3
Let 5*j**5 - 35*j**4 - 210*j**3 - 130*j**2 + 205*j + 165 = 0. Calculate j.
-3, -1, 1, 11
Factor 6*u**4/5 - 144*u**3/5 + 864*u**2/5.
6*u**2*(u - 12)**2/5
Let -72*o**3 + 1587*o**2 - 66*o = 0. What is o?
0, 1/24, 22
What is o in 2*o**3/3 + 16*o**2/3 + 10*o = 0?
-5, -3, 0
What is a in 15*a**4/2 + 18*a**3 - 63*a**2/2 - 60*a - 18 = 0?
-3, -1, -2/5, 2
Suppose 243*i**4 + 3024*i**3 + 6168*i**2 + 2304*i + 240 = 0. Calculate i.
-10, -2, -2/9
Determine i, given that -i**4 - 146*i**3 - 431*i**2 - 286*i = 0.
-143, -2, -1, 0
Factor 3*u**2 + 45*u/8 - 3/4.
3*(u + 2)*(8*u - 1)/8
Factor -4*d**2/7 - 376*d/7 - 156.
-4*(d + 3)*(d + 91)/7
Suppose -5*a**2 + 15*a + 50 = 0. Calculate a.
-2, 5
Factor f**3/3 + 97*f**2/3 - 197*f/3 + 33.
(f - 1)**2*(f + 99)/3
Factor 3*s**2/4 - 9*s - 39/4.
3*(s - 13)*(s + 1)/4
Let w**2 + 4102*w + 4206601 = 0. Calculate w.
-2051
Factor -5*k**5 + 30*k**4 + 50*k**3 - 80*k**2 - 165*k - 70.
-5*(k - 7)*(k - 2)*(k + 1)**3
Let 8*v**4 - 526*v**3 - 140*v**2 + 526*v + 132 = 0. Calculate v.
-1, -1/4, 1, 66
Factor 5*m**4 - 540*m**2 + 2160*m.
5*m*(m - 6)**2*(m + 12)
Factor g**3/3 + 14*g**2/3 + 7*g - 12.
(g - 1)*(g + 3)*(g + 12)/3
Suppose 5*n**4/2 - 45*n**3/2 - 15*n**2/2 + 145*n/2 - 45 = 0. What is n?
-2, 1, 9
Find x, given that -4*x**4/3 + 28*x**3 + 1520*x**2/3 - 11200*x + 32000/3 = 0.
-20, 1, 20
Determine x so that -x**3 - 17*x**2 - 63*x + 81 = 0.
-9, 1
Factor 7*y**2 + 169*y - 756.
(y + 28)*(7*y - 27)
What is y in 8*y**3 - 2*y**2 - 6*y = 0?
-3/4, 0, 1
Factor -k**5/6 + 9*k**4 - 511*k**3/3 + 3808*k**2/3 - 5491*k/2 + 4913/3.
-(k - 17)**3*(k - 2)*(k - 1)/6
Factor 5*t**4 + 840*t**3 + 44510*t**2 + 775320*t + 4259645.
5*(t + 13)**2*(t + 71)**2
What is k in -2*k**3 + 84*k**2 + 182*k - 264 = 0?
-3, 1, 44
Factor 4*a**2/7 + 176*a/7 + 1936/7.
4*(a + 22)**2/7
Factor -2*j**2/19 - 350*j/19.
-2*j*(j + 175)/19
Factor -c**4/3 - 70*c**3/3 + 143*c**2/3 - 24*c.
-c*(c - 1)**2*(c + 72)/3
Factor -d**4 + 25*d**3 - 183*d**2 + 275*d + 484.
-(d - 11)**2*(d - 4)*(d + 1)
Factor -3*d**3 - 6*d**2.
-3*d**2*(d + 2)
Factor 1849*r**4/5 + 2021*r**3/5 + 176*r**2/5 + 4*r/5.
r*(r + 1)*(43*r + 2)**2/5
Factor -21*m**3 + 330*m**2 + 4821*m + 1350.
-3*(m - 25)*(m + 9)*(7*m + 2)
Let -3*w**2 + 48*w + 108 = 0. What is w?
-2, 18
Factor 23*i**2 + 2*i.
i*(23*i + 2)
Determine r so that 25*r**3 + 140*r**2 - 735*r + 270 = 0.
-9, 2/5, 3
Let -f**5/2 + f**4 + 7*f**3/2 - 10*f**2 + 6*f = 0. Calculate f.
-3, 0, 1, 2
Factor l**4/2 + 3*l**3/2 - 7*l**2/2 - 15*l/2 + 9.
(l - 2)*(l - 1)*(l + 3)**2/2
Factor -u**3/3 + 3*u**2 - 8*u/3 - 20.
-(u - 6)*(u - 5)*(u + 2)/3
Factor -16*s**2 - 156*s + 376.
-4*(s - 2)*(4*s + 47)
Solve -y**4 - 568*y**3/3 + 2111*y**2/3 - 2312*y/3 + 772/3 = 0.
-193, 2/3, 1, 2
Let -2*a**4 - 47*a**3 - 274*a**2 - 568*a - 384 = 0. What is a?
-16, -4, -2, -3/2
Factor -6*z**3 + 74*z**2 - 144*z + 40.
-2*(z - 10)*(z - 2)*(3*z - 1)
Let -21*z**3 - 40*z**2 - 17*z + 2 = 0. Calculate z.
-1, 2/21
Suppose 9*p**4/7 - 52*p**3/7 + 69*p**2/7 - 18*p/7 - 8/7 = 0. Calculate p.
-2/9, 1, 4
Factor -p**5/3 + 13*p**4/3 + 17*p**3/3 - 37*p**2/3 - 68*p/3 - 28/3.
-(p - 14)*(p - 2)*(p + 1)**3/3
Suppose 2*h**4 - 83*h**3 + 921*h**2 - 1240*h + 400 = 0. What is h?
1/2, 1, 20
Find k such that -15*k**4/11 - 5486*k**3/11 - 4017*k**2/11 - 730*k/11 = 0.
-365, -2/5, -1/3, 0
What is x in 1587*x**2 - 11040*x + 19200 = 0?
80/23
Factor 2*i**3/17 - 96*i**2/17 + 1050*i/17 + 2500/17.
2*(i - 25)**2*(i + 2)/17
Find r, given that 2*r**3/3 - 14*r**2 - 64*r - 200/3 = 0.
-2, 25
Determine g, given that -6*g**5 - 10*g**4 + 128*g**3 - 176*g**2 - 32*g + 96 = 0.
-6, -2/3, 1, 2
What is x in x**5/9 - 7*x**3/9 - 2*x**2/3 = 0?
-2, -1, 0, 3
Factor 4*y**3 - 128*y**2 + 244*y - 120.
4*(y - 30)*(y - 1)**2
Determine y, given that 98*y**4/5 - 238*y**3/5 + 88*y**2/5 - 8*y/5 = 0.
0, 1/7, 2/7, 2
Factor 2*l**3 + 164*l**2 - 2*l - 164.
2*(l - 1)*(l + 1)*(l + 82)
What is d in 3*d**5 + 6*d**4 - 9*d**3 - 12*d**2 + 12*d = 0?
-2, 0, 1
Let -u**5 - 257*u**4 + 785*u**3 + 1297*u**2 - 784*u - 1040 = 0. What is u?
-260, -1, 1, 4
Let 5*v**4 - 15*v**3 - 50*v**2 = 0. What is v?
-2, 0, 5
Solve -4*z**5 - 236*z**4 - 2648*z**3 - 5248*z**2 + 23040*z = 0.
-45, -8, 0, 2
Factor 2*i**2/11 + 96*i/11 + 184/11.
2*(i + 2)*(i + 46)/11
Factor c**4/4 + 23*c**3/2 + 573*c**2/4 + 253*c + 121.
(c + 1)**2*(c + 22)**2/4
Suppose 2*j**3/15 + 116*j**2/5 + 4928*j/5 - 30976/15 = 0. Calculate j.
-88, 2
Suppose 2*v**2/7 - 1054*v/7 + 3144/7 = 0. Calculate v.
3, 524
Factor p**4/2 + 611*p**3/2 + 93635*p**2/2 + 93025*p/2.
p*(p + 1)*(p + 305)**2/2
Let -4*f**4 - 100*f**3 - 180*f**2 + 100*f + 184 = 0. What is f?
-23, -2, -1, 1
Find r, given that 2*r**2 + 214*r - 216 = 0.
-108, 1
What is t in t**5/6 - 13*t**4/6 + 35*t**3/6 + 13*t**2/6 - 6*t = 0?
-1, 0, 1, 4, 9
Factor 8*y**2 + 13*y + 5.
(y + 1)*(8*y + 5)
Factor 5*z**2 + 850*z + 36125.
5*(z + 85)**2
Determine s so that -38*s**4 - 414*s**3 - 222*s**2 + 5614*s - 588 = 0.
-7, 2/19, 3
Solve j**4/2 + 2*j**3 - j**2/2 - 2*j = 0.
-4, -1, 0, 1
Suppose -45*z**3 - 1614*z**2 - 14319*z + 1938 = 0. What is z?
-19, -17, 2/15
Suppose -5*y**5 + 5*y**4 + 100*y**3 - 100*y**2 - 320*y + 320 = 0. What is y?
-4, -2, 1, 2, 4
Solve 2*o**5/3 - 476*o**4 + 85440*o**3 - 506944*o**2/3 = 0 for o.
0, 2, 356
Find y such that -4*y**3 - 1008*y**2 = 0.
-252, 0
Determine w so that 3*w**2/4 + 75*w/4 - 39/2 = 0.
-26, 1
Factor 3*a**2 - 324*a - 4719.
3*(a - 121)*(a + 13)
Factor -4*s**3 - 180*s**2 + 804*s + 980.
-4*(s - 5)*(s + 1)*(s + 49)
Factor 3*v**3/5 - 57*v**2/5 + 336*v/5 - 576/5.
3*(v - 8)**2*(v - 3)/5
Let -28*g**5 + 236*g**4 - 1752*g**3/7 - 1424*g**2/7 - 32*g = 0. Calculate g.
-2/7, 0, 2, 7
Factor -2*v**4 - 34*v**3 - 16*v**2 + 280*v + 384.
-2*(v - 3)*(v + 2)**2*(v + 16)
Determine v, given that 3*v**3/4 + 9*v**2/2 + 27*v/4 = 0.
-3, 0
Let w**5/2 + 5*w**4/2 + 4*w**3 + 2*w**2 = 0. Calculate w.
-2, -1, 0
Factor s**3/2 - 165*s**2 + 1629*s/2 - 650.
(s - 325)*(s - 4)*(s - 1)/2
What is i in 3*i**2 + 3*i - 18 = 0?
-3, 2
Factor 12*d**2 + 794*d + 132.
2*(d + 66)*(6*d + 1)
Let -5*t**2 - 20*t - 15 = 0. What is t?
-3, -1
Determine q, given that 2*q**3 - 18*q = 0.
-3, 0, 3
Determine m, given that 2*m**4/3