2*n**3 + 80*n**2 + 252*n - 16 = 0.
-4, -1, 1/16, 1
Let -5*h**4 + 125*h**3 + 5*h**2 - 125*h = 0. Calculate h.
-1, 0, 1, 25
Let 5*f**4 + 60*f**3 - 5*f**2 - 60*f = 0. What is f?
-12, -1, 0, 1
Factor -m**5 + 46*m**4 - 525*m**3 - 184*m**2 + 2116*m.
-m*(m - 23)**2*(m - 2)*(m + 2)
Solve -22*n**4/3 - 46*n**3/3 - 2*n**2 + 38*n/3 + 20/3 = 0 for n.
-1, 10/11
Solve 3*x**4/5 + 21*x**3/5 + 9*x**2 + 39*x/5 + 12/5 = 0 for x.
-4, -1
Factor -2*o**3/9 + 638*o**2/9 + 640*o/9.
-2*o*(o - 320)*(o + 1)/9
Factor -2*l**2/5 - 372*l - 86490.
-2*(l + 465)**2/5
Factor -5*u**5 + 95*u**4 - 650*u**3 + 1750*u**2 - 625*u - 3125.
-5*(u - 5)**4*(u + 1)
Factor 4*i**4 + 32*i**3 - 40*i**2 - 32*i + 36.
4*(i - 1)**2*(i + 1)*(i + 9)
Let -4*s**4 - 112*s**3 - 1176*s**2 - 5488*s - 9604 = 0. What is s?
-7
Let 2*g**2 + 36*g + 162 = 0. Calculate g.
-9
Factor 4*n**4 + 48*n**3 - 244*n**2 + 192*n.
4*n*(n - 3)*(n - 1)*(n + 16)
Solve i**3 - 5281*i**2 + 6974880*i - 6969600 = 0.
1, 2640
Factor y**4/6 + 3*y**3 + 29*y**2/2 + 35*y/3.
y*(y + 1)*(y + 7)*(y + 10)/6
Factor 20*b**2 - 24*b - 44.
4*(b + 1)*(5*b - 11)
Factor -12*v**2 + 2541*v + 636.
-3*(v - 212)*(4*v + 1)
Find v such that -6*v**3/5 - 54*v**2/5 - 48*v/5 = 0.
-8, -1, 0
Determine l, given that -l**5/2 + 73*l**4/4 + 133*l**3 + 1143*l**2/4 + 387*l/2 = 0.
-3, -2, -3/2, 0, 43
Factor -2*a**3/7 - 36*a**2/7 + 272*a/7 - 384/7.
-2*(a - 4)*(a - 2)*(a + 24)/7
Suppose 147*n**4/4 - 63*n**3 - 39*n**2/4 + 63*n - 27 = 0. Calculate n.
-1, 6/7, 1
Determine t so that -t**4/4 - 17*t**3/4 - 29*t**2/4 + 17*t/4 + 15/2 = 0.
-15, -2, -1, 1
Factor -32*v**4/9 - 3280*v**3/9 - 26902*v**2/3 + 171380*v/9 - 87362/9.
-2*(v - 1)**2*(4*v + 209)**2/9
Factor -2*z**4/13 - 16*z**3/13 - 30*z**2/13.
-2*z**2*(z + 3)*(z + 5)/13
Solve -8*n**5/5 - 2*n**4/5 + 8*n**3/5 + 2*n**2/5 = 0 for n.
-1, -1/4, 0, 1
What is l in 12*l**3 - 140*l**2 + 84*l + 44 = 0?
-1/3, 1, 11
Solve j**2 - 158*j + 6241 = 0 for j.
79
Factor -2*k**4 - 4244*k**3 - 3007560*k**2 - 715754096*k - 2815166528.
-2*(k + 4)*(k + 706)**3
Factor -5*h**5 - 165*h**4 - 600*h**3 - 580*h**2.
-5*h**2*(h + 2)**2*(h + 29)
Solve w**4/4 + w**3 = 0 for w.
-4, 0
Factor d**3/3 - 3*d**2 + 8*d - 20/3.
(d - 5)*(d - 2)**2/3
Let -4*j**2/5 - 976*j/5 - 972/5 = 0. What is j?
-243, -1
Solve -549*l**4 - l**3/2 + 549*l**2 + l/2 = 0 for l.
-1, -1/1098, 0, 1
Let -u**5 - 3*u**4 + u**3 + 3*u**2 = 0. What is u?
-3, -1, 0, 1
Let 3*y**3/7 + 39*y**2/7 + 69*y/7 + 33/7 = 0. What is y?
-11, -1
Find k such that 2*k**2/3 + 52*k/3 + 338/3 = 0.
-13
Factor -10*v**2/7 + 1172*v/7 - 234/7.
-2*(v - 117)*(5*v - 1)/7
Suppose 3*v**5/5 - 27*v**4/5 + 39*v**3/5 + 27*v**2/5 - 42*v/5 = 0. Calculate v.
-1, 0, 1, 2, 7
Factor t**4/4 - 9*t**3/2 + 51*t**2/4 + 91*t/2.
t*(t - 13)*(t - 7)*(t + 2)/4
Factor -4*c**2 - 132*c.
-4*c*(c + 33)
Find f, given that -4*f**4 - 236*f**3 - 3588*f**2 - 2900*f + 6728 = 0.
-29, -2, 1
Find c, given that 4*c**3/5 + 24*c**2/5 + 4*c = 0.
-5, -1, 0
Find g such that -4*g**2 + 12*g - 8 = 0.
1, 2
Find w such that 5*w**2 + 85*w = 0.
-17, 0
Factor -b**3/3 + 7*b**2/3 + 20*b.
-b*(b - 12)*(b + 5)/3
Factor -2*y**3/3 - 10*y**2 + 2*y/3 + 10.
-2*(y - 1)*(y + 1)*(y + 15)/3
Suppose -3*f**2 - 84*f - 561 = 0. What is f?
-17, -11
Factor -5*c**3 - 345*c**2 - 1000*c - 660.
-5*(c + 1)*(c + 2)*(c + 66)
Find j, given that -j**3/2 + 3*j/2 + 1 = 0.
-1, 2
Find t such that -2*t**5 + 78*t**4 - 74*t**3 - 78*t**2 + 76*t = 0.
-1, 0, 1, 38
Factor -3*q**4/5 + 51*q**3/5 + 180*q**2 + 3984*q/5 + 5568/5.
-3*(q - 29)*(q + 4)**3/5
Factor -3*a**3/8 + 75*a**2/8 - 42*a - 441/2.
-3*(a - 14)**2*(a + 3)/8
Factor 5*x**3 + 100*x**2 + 315*x - 1980.
5*(x - 3)*(x + 11)*(x + 12)
Let -m**4/2 - m**3 + 7*m**2/2 - 2*m = 0. What is m?
-4, 0, 1
Determine c, given that -1215*c**4 + 1350*c**3 + 2820*c**2 - 1400*c + 160 = 0.
-4/3, 2/9, 2
Factor -4*m**2/5 + 128*m/5 + 84.
-4*(m - 35)*(m + 3)/5
Suppose 9*a**4 + 126*a**3 + 317*a**2 + 224*a + 44 = 0. What is a?
-11, -2, -2/3, -1/3
Factor b**2/2 - 8*b - 17/2.
(b - 17)*(b + 1)/2
Find x such that 2*x**2 - 150*x = 0.
0, 75
Suppose 4*z**3 = 0. Calculate z.
0
Suppose -2*l**5 + 39*l**4/7 + 151*l**3/7 + 24*l**2/7 - 20*l/7 = 0. What is l?
-2, -1/2, 0, 2/7, 5
What is s in 2*s**3/7 + 150*s**2/7 = 0?
-75, 0
Find o such that -2*o**4/11 - 56*o**3/11 - 588*o**2/11 - 2744*o/11 - 4802/11 = 0.
-7
Determine h so that 2*h**4 + 24*h**3 - 2*h**2 - 24*h = 0.
-12, -1, 0, 1
Factor 5*l**3 - 10*l**2 - 35*l - 20.
5*(l - 4)*(l + 1)**2
Let -5*t**3 + 40*t**2 - 35*t = 0. What is t?
0, 1, 7
Determine k, given that -2*k**4 - 11*k**3 - 19*k**2 - 13*k - 3 = 0.
-3, -1, -1/2
Let 6*s**4 - 8*s**3 - 4*s**2 + 8*s - 2 = 0. What is s?
-1, 1/3, 1
Suppose 3*v**4/7 - 3*v**3/7 - 48*v**2/7 + 48*v/7 = 0. What is v?
-4, 0, 1, 4
Find r, given that 3*r**5 + 24*r**4 + 24*r**3 - 78*r**2 - 27*r + 54 = 0.
-6, -3, -1, 1
Factor 4*j**2 - 3280*j + 672400.
4*(j - 410)**2
Suppose 2*d**5/13 - 32*d**4/13 + 64*d**3/13 + 812*d**2/13 - 2466*d/13 + 1620/13 = 0. What is d?
-5, 1, 2, 9
Let 16*v**5/3 - 104*v**4 - 175*v**3/3 + 292*v**2/3 + 53*v + 20/3 = 0. What is v?
-1, -1/4, 1, 20
Factor -1604*a**4 + 6424*a**3 - 6448*a**2 + 32*a.
-4*a*(a - 2)**2*(401*a - 2)
Factor 6*l**3 + 628*l**2 + 5546*l + 3420.
2*(l + 9)*(l + 95)*(3*l + 2)
Factor -s**4/6 - 173*s**3/6 - 85*s**2.
-s**2*(s + 3)*(s + 170)/6
Factor 3*d**4/8 + 9*d**3/4 - 9*d**2/8 - 21*d - 18.
3*(d - 3)*(d + 1)*(d + 4)**2/8
Factor -50*x**3 + 2640*x**2 - 2088*x + 416.
-2*(x - 52)*(5*x - 2)**2
Find k such that k**2/2 + 25*k + 625/2 = 0.
-25
Suppose 2*y**3/11 + 732*y**2/11 + 89304*y/11 + 3631696/11 = 0. What is y?
-122
Factor 2*d**5/9 - 20*d**4/9 - 22*d**3/9.
2*d**3*(d - 11)*(d + 1)/9
Factor 130*t**2 + 67*t + 6.
(5*t + 2)*(26*t + 3)
Let 2*d**2/3 - 2/3 = 0. Calculate d.
-1, 1
Determine l so that -l**2 + l + 6 = 0.
-2, 3
Factor -3*f**2 + 1602*f - 213867.
-3*(f - 267)**2
Factor 35*f**2 + 38650*f + 11040.
5*(f + 1104)*(7*f + 2)
Factor -3*h**5 + 27*h**4 - 15*h**3 - 87*h**2 + 126*h - 48.
-3*(h - 8)*(h - 1)**3*(h + 2)
Factor y**2 + 1508*y + 568516.
(y + 754)**2
Determine j, given that 4*j**2 - 76*j + 352 = 0.
8, 11
Factor -t**4/2 - 111*t**3/2 + 59*t**2 + 336*t.
-t*(t - 3)*(t + 2)*(t + 112)/2
What is p in 108*p**4 - 648*p**3 + 1071*p**2 - 289*p = 0?
0, 1/3, 17/6
Suppose 22*p**4 + 178*p**3 + 126*p**2 - 1090*p - 100 = 0. What is p?
-5, -1/11, 2
Factor -2*g**4 + 6*g**2 - 4*g.
-2*g*(g - 1)**2*(g + 2)
Determine u so that -4*u**4 + u**3 + 4*u**2 - u = 0.
-1, 0, 1/4, 1
Determine b, given that 35*b**5 + 165*b**4 + 195*b**3 + 35*b**2 - 30*b = 0.
-3, -1, 0, 2/7
Solve v**3/3 - 13*v**2/3 = 0.
0, 13
Factor 5*x**4 + 145*x**3 + 1375*x**2 + 4235*x.
5*x*(x + 7)*(x + 11)**2
Suppose -3*t**5 + 18*t**4 + 27*t**3 - 42*t**2 = 0. What is t?
-2, 0, 1, 7
Determine j so that 2*j**5 + 20*j**4 - 206*j**3 - 224*j**2 = 0.
-16, -1, 0, 7
Determine x, given that -4*x**3 - 104*x**2 + 220*x - 112 = 0.
-28, 1
Let -12*o**4 - 4*o**3 + 20*o**2 + 4*o - 8 = 0. What is o?
-1, 2/3, 1
Factor -4*w**2/5 + 236*w/5 - 360.
-4*(w - 50)*(w - 9)/5
Factor p**5 - 5*p**4 + 7*p**3 - 3*p**2.
p**2*(p - 3)*(p - 1)**2
Suppose -x**2 - 277*x/4 + 281/4 = 0. Calculate x.
-281/4, 1
Determine i, given that -4*i**5/5 - 48*i**4/5 - 208*i**3/5 - 384*i**2/5 - 256*i/5 = 0.
-4, -2, 0
Factor -45*o**5 - 2865*o**4 - 61430*o**3 - 456750*o**2 - 284445*o - 46305.
-5*(o + 21)**3*(3*o + 1)**2
Factor -v**5/2 + 2*v**4 - 7*v**2 + 17*v/2 - 3.
-(v - 3)*(v - 1)**3*(v + 2)/2
Let -5*y**2 - 600*y = 0. What is y?
-120, 0
Let 10*i**3 + 516*i**2 + 792*i - 400 = 0. Calculate i.
-50, -2, 2/5
Factor -3*s**5 + 3*s**4 + 6*s**3 - 6*s**2 - 3*s + 3.
-3*(s - 1)**3*(s + 1)**2
Determine o so that o**5 - 35*o**4 + 158*o**3 - 244*o**2 + 120*o = 0.
0, 1, 2, 30
Factor 5*f**2 + 500*f + 2820.
5*(f + 6)*(f + 94)
Let -3*q**3 - 3*q**2/4 + 3*q + 3/4 = 0. What is q?
-1, -1/4, 1
Let -t**2/6 - 17*t/3 + 65/2 = 0. Calculate t.
-39, 5
Find q, given that 18*q**4/7 - 68*q**3/7 + 74*q**2/7 - 16*q/7 - 8/7 = 0.
-2/9, 1, 2
Let -2*z**4 - 34*z**3 - 210*z**2 - 558*z - 540 = 0. Calculate z.
-6, -5, -3
Factor -2*a**3/19 + 20*a**2/19 - 18*a/19.
-2*a*(a - 9)*(a - 1)/19
Suppose -j**4/5 + 22*j**3/5 - 121*j**2/5 = 0. Calculate j.
0, 11
Find t, given that 38*t**4 - 61*t**3 + 25*t**2 - 2*t = 0.
0, 2/19, 1/2, 1
Determine i so that 5*i**5 - 10*i**4 - 15*i**3 + 20*i**2 + 20*i = 0.
-1, 0, 2
Factor 3*j**2/5 + 6*j - 72/5.
3*(j - 2)*(j + 12)/5
Fact