lve -4*s**3/5 - 4*s**2 + 96*s/5 = 0.
-8, 0, 3
Factor 5*c**5 - 5*c**4 - 5*c**3 + 5*c**2.
5*c**2*(c - 1)**2*(c + 1)
Find p, given that -3*p**4 + 546*p**3 - 24843*p**2 = 0.
0, 91
Find w such that -3*w**3/2 - 9*w**2/2 + 27*w/2 - 15/2 = 0.
-5, 1
Suppose 2*z**2 - 58*z + 276 = 0. What is z?
6, 23
Solve -5*x**3 - 81*x**2 - 256*x - 48 = 0 for x.
-12, -4, -1/5
Determine o so that 16*o**5/5 - 104*o**4/5 + 45*o**3 - 162*o**2/5 = 0.
0, 2, 9/4
Factor -5*f**3 + 125*f**2 - 715*f + 595.
-5*(f - 17)*(f - 7)*(f - 1)
Find v, given that -v**4/5 + 22*v**3/5 - 112*v**2/5 - 198*v/5 + 1089/5 = 0.
-3, 3, 11
Factor -w**5/4 - 13*w**4/4 + 16*w**3 - 17*w**2.
-w**2*(w - 2)**2*(w + 17)/4
Let u**3/2 - u**2 - 3*u/2 = 0. Calculate u.
-1, 0, 3
Determine g so that -5*g**5 + 35*g**3 + 10*g**2 - 60*g - 40 = 0.
-2, -1, 2
Factor 4*v**2/3 - 8080*v/3 - 8084/3.
4*(v - 2021)*(v + 1)/3
Factor -5*u**4 - 70*u**3 - 60*u**2 + 70*u + 65.
-5*(u - 1)*(u + 1)**2*(u + 13)
Determine k so that 3*k**5/8 + 87*k**4/8 + 165*k**3/8 + 81*k**2/8 = 0.
-27, -1, 0
Factor -2*h**4/7 - 8*h**3/7 + 6*h**2/7 + 36*h/7.
-2*h*(h - 2)*(h + 3)**2/7
Let 4*h**4 + 8*h**3 - 48*h**2 - 160*h - 128 = 0. What is h?
-2, 4
Determine b so that -b**4/3 + 118*b**3/3 + 239*b**2/3 + 40*b = 0.
-1, 0, 120
Factor 46*w**3 - 330*w**2 + 56*w.
2*w*(w - 7)*(23*w - 4)
Factor -f**2/2 - f + 3/2.
-(f - 1)*(f + 3)/2
Factor 3*j**2 + 12*j - 36.
3*(j - 2)*(j + 6)
Find d, given that d**2 - 806*d + 162409 = 0.
403
What is k in -2*k**3 - 90*k**2 - 84*k + 176 = 0?
-44, -2, 1
Find w such that -2*w**4/7 + 20*w**3 - 3432*w**2/7 + 32912*w/7 - 85184/7 = 0.
4, 22
Factor t**4/5 - 19*t**3/5 - 4*t**2.
t**2*(t - 20)*(t + 1)/5
Factor 4*m**3 - 4*m**2 - 16*m + 16.
4*(m - 2)*(m - 1)*(m + 2)
Factor 4*h**5 - 16*h**4 + 4*h**3 + 24*h**2.
4*h**2*(h - 3)*(h - 2)*(h + 1)
Determine i so that -4*i**2/5 - 36*i/5 - 72/5 = 0.
-6, -3
Factor 5*j**4 - 15*j**3 - 10*j**2 + 60*j - 40.
5*(j - 2)**2*(j - 1)*(j + 2)
Suppose 2*v**3/7 - 200*v**2/7 + 4576*v/7 + 21632/7 = 0. What is v?
-4, 52
Factor 4*u**5 - 16*u**4 + 12*u**3 + 16*u**2 - 16*u.
4*u*(u - 2)**2*(u - 1)*(u + 1)
Let -36*f**2 + 1000*f + 224 = 0. Calculate f.
-2/9, 28
Let 25*d**5 - 90*d**4 - 1065*d**3 - 1310*d**2 - 360*d = 0. What is d?
-4, -1, -2/5, 0, 9
Factor -3*u**3 + 387*u**2 + 1182*u + 792.
-3*(u - 132)*(u + 1)*(u + 2)
Solve -6*f**3 - 92*f**2 - 294*f - 88 = 0 for f.
-11, -4, -1/3
Factor 3*g**2 - 1293*g - 1296.
3*(g - 432)*(g + 1)
Factor -l**4 + 4*l**3 - 3*l**2 - 4*l + 4.
-(l - 2)**2*(l - 1)*(l + 1)
Find k, given that k**2 + 1228*k + 1227 = 0.
-1227, -1
Solve -36*g**3 - 660*g**2 - 832*g - 272 = 0 for g.
-17, -2/3
Solve 5*r**2 + 1130*r + 63845 = 0 for r.
-113
Find k such that -2*k**4 + 334*k**3 + 3120*k**2 + 8416*k + 5632 = 0.
-4, -1, 176
Factor -2*s**2/7 + 360*s + 5048/7.
-2*(s - 1262)*(s + 2)/7
What is v in -15*v**2/4 - 14241*v/4 - 2847/2 = 0?
-949, -2/5
Factor 45*d**3/4 + 1617*d**2/2 + 14472*d - 1944.
3*(d + 36)**2*(15*d - 2)/4
Factor 507*w**2/7 - 1326*w/7 + 867/7.
3*(13*w - 17)**2/7
Suppose -n**4/4 + 3*n**2/2 - 2*n + 3/4 = 0. What is n?
-3, 1
Determine m, given that m**3 - 128*m**2 + 125*m + 254 = 0.
-1, 2, 127
Suppose 2*a**2 - 2108*a + 555458 = 0. Calculate a.
527
Factor g**3/2 - 8*g**2 - 38*g - 40.
(g - 20)*(g + 2)**2/2
Factor 6*s**5/5 + 48*s**4/5 + 132*s**3/5 + 168*s**2/5 + 102*s/5 + 24/5.
6*(s + 1)**4*(s + 4)/5
Suppose 5*c**5 - 3900*c**4 + 760485*c**3 + 11690*c**2 - 2273700*c - 1521000 = 0. What is c?
-1, 2, 390
Factor 2*a**3 - 10*a**2 - 176*a - 416.
2*(a - 13)*(a + 4)**2
Factor -2*w**3 - 56*w**2 + 182*w - 124.
-2*(w - 2)*(w - 1)*(w + 31)
Let -4*t**3 - 21*t**2 - 29*t - 6 = 0. Calculate t.
-3, -2, -1/4
Factor u**4 - 176*u**3 + 7744*u**2.
u**2*(u - 88)**2
Factor 4*q**2/7 - 9264*q/7 + 5363856/7.
4*(q - 1158)**2/7
What is x in -162*x**4/19 + 612*x**3/19 + 952*x**2/19 + 188*x/19 + 10/19 = 0?
-1, -1/9, 5
Determine r, given that -3*r**2 + 480*r - 2325 = 0.
5, 155
Determine l so that 9*l**3 - 42*l**2 + 48*l = 0.
0, 2, 8/3
Find x such that x**4 - x**3 - 6*x**2 = 0.
-2, 0, 3
Factor 3*w**4 - 96*w**3 + 183*w**2 - 90*w.
3*w*(w - 30)*(w - 1)**2
Factor 4*t**3/13 - 2*t**2/13 - 10*t/13 - 4/13.
2*(t - 2)*(t + 1)*(2*t + 1)/13
Factor -2*u**3/9 - 40*u**2/9 - 74*u/9 - 4.
-2*(u + 1)**2*(u + 18)/9
Solve -3*a**3/2 - 15*a**2 - 75*a/2 = 0.
-5, 0
What is v in -4*v**4 + 1280*v**3 = 0?
0, 320
Factor 229*j**2/4 - 241*j/4 + 3.
(j - 1)*(229*j - 12)/4
Determine l so that -2*l**3/5 - 54*l**2/5 - 20*l = 0.
-25, -2, 0
Factor 3*c**3 + 177*c**2 - 744*c + 756.
3*(c - 2)**2*(c + 63)
Let o**5/5 - 139*o**4/5 - 143*o**3/5 + 83*o**2 + 698*o/5 + 56 = 0. What is o?
-1, 2, 140
Suppose 5*d**2 + 35*d + 30 = 0. What is d?
-6, -1
Suppose -4*v**5 - 8*v**4 + 8*v**3 + 16*v**2 - 4*v - 8 = 0. What is v?
-2, -1, 1
Find x such that 2*x**4/5 + 4*x**3 - 88*x**2/5 - 528*x/5 - 576/5 = 0.
-12, -2, 6
Factor 2*h**4 - 6*h**3 - 18*h**2 + 46*h - 24.
2*(h - 4)*(h - 1)**2*(h + 3)
Factor -2*t**3/7 - 482*t**2/7 - 29280*t/7 - 28800/7.
-2*(t + 1)*(t + 120)**2/7
Determine d, given that 3*d**4 - 36*d**3 + 135*d**2 - 150*d = 0.
0, 2, 5
Factor q**2/3 - 20*q - 61/3.
(q - 61)*(q + 1)/3
Factor -28*t**2 - 72*t + 468.
-4*(t - 3)*(7*t + 39)
Solve 2*c**3 + 16*c**2/3 - 10*c + 8/3 = 0 for c.
-4, 1/3, 1
Find p, given that 3*p**5 + 12*p**4 - 36*p**3 = 0.
-6, 0, 2
Solve 2*g**5/9 + 14*g**4 + 2644*g**3/9 + 2044*g**2 - 294*g - 2058 = 0.
-21, -1, 1
Suppose 3*v**3/2 - 93*v**2/2 + 309*v/2 + 405/2 = 0. What is v?
-1, 5, 27
What is x in x**3/2 + 9*x**2/2 + 7*x - 12 = 0?
-6, -4, 1
Solve 3*j**3 + 42*j**2 + 39*j = 0 for j.
-13, -1, 0
Factor 159*i**2/2 - 156*i - 6.
3*(i - 2)*(53*i + 2)/2
Solve -3*o**4 - 18*o**3 + 51*o**2 + 18*o - 48 = 0.
-8, -1, 1, 2
Factor 2*i**2/3 + 4*i/3.
2*i*(i + 2)/3
Factor 2*k**4/17 - 600*k**3/17 + 43784*k**2/17 + 182400*k/17 + 184832/17.
2*(k - 152)**2*(k + 2)**2/17
Find n such that 5*n**4 + 155*n**3 + 295*n**2 + 145*n = 0.
-29, -1, 0
Solve 16*x**4 + 13988*x**3/5 + 617364*x**2/5 + 103356*x + 90828/5 = 0.
-87, -3/5, -1/4
Let 5*p**3 + 375*p**2 - 1580*p = 0. What is p?
-79, 0, 4
Factor 3*r**5/4 + 81*r**4/4 - 90*r**3 + 93*r**2.
3*r**2*(r - 2)**2*(r + 31)/4
Let -2*a**4/9 + 2*a**3/3 + 416*a**2/9 = 0. What is a?
-13, 0, 16
Let -4*i**4/3 - 38*i**3/3 - 62*i**2/3 + 62*i/3 + 14 = 0. Calculate i.
-7, -3, -1/2, 1
Factor -4*m**3 + 44*m**2 - 160*m + 192.
-4*(m - 4)**2*(m - 3)
Find y such that -y**3 - 1959*y**2 - 1279227*y - 278445077 = 0.
-653
Find o such that 4*o**4 - 672*o**3 + 27544*o**2 + 57120*o + 28900 = 0.
-1, 85
What is t in 3*t**2/4 - 5091*t/2 + 8639427/4 = 0?
1697
What is i in 2*i**5/9 - 50*i**4/9 + 380*i**3/9 - 860*i**2/9 + 770*i/9 - 242/9 = 0?
1, 11
Suppose 18*s**2/5 + 1868*s/5 - 416/5 = 0. What is s?
-104, 2/9
Factor 3*t**4/2 - 21*t**3/2 + 18*t**2 + 6*t - 24.
3*(t - 4)*(t - 2)**2*(t + 1)/2
Suppose 3*x**3/4 - 159*x**2/4 + 1365*x/4 - 3225/4 = 0. Calculate x.
5, 43
Factor -60*l**2 + 155*l - 70.
-5*(l - 2)*(12*l - 7)
Factor -v**2/2 + 95*v/2.
-v*(v - 95)/2
Factor -3*i**2 + 72*i - 69.
-3*(i - 23)*(i - 1)
Factor 4*p**2 + 32592*p + 66389904.
4*(p + 4074)**2
Factor -4*i**3 - 7074*i**2 - 3129360*i - 1562912.
-2*(i + 884)**2*(2*i + 1)
Solve -4*l**4 - 72*l**3 + 244*l**2 - 168*l = 0.
-21, 0, 1, 2
Factor -4*t**3 + 200*t**2 - 372*t - 576.
-4*(t - 48)*(t - 3)*(t + 1)
Determine z, given that -5*z**3 + 1290*z**2 - 76380*z - 897800 = 0.
-10, 134
Let n**3/12 + 937*n**2/12 + 78*n = 0. What is n?
-936, -1, 0
Factor -20*b**3 - 32*b**2 + 20*b + 32.
-4*(b - 1)*(b + 1)*(5*b + 8)
Find w, given that 2*w**4/9 + 80*w**3/9 - 170*w**2/9 - 80*w/9 + 56/3 = 0.
-42, -1, 1, 2
Solve -4*x**4 - 16*x**3 - 4*x**2 + 24*x = 0.
-3, -2, 0, 1
Factor -20*l**3/7 - 282*l**2/7 - 144*l - 14.
-2*(l + 7)**2*(10*l + 1)/7
Let -2*h**5/19 + 22*h**4/19 - 2*h**3 - 86*h**2/19 + 40*h/19 + 64/19 = 0. Calculate h.
-1, 1, 4, 8
Factor -4*s**2 + 5096*s - 1623076.
-4*(s - 637)**2
What is m in -m**2/4 + 5*m/2 - 21/4 = 0?
3, 7
Find t such that -46*t**5 - 170*t**4 - 1700*t**3/9 - 200*t**2/3 - 16*t/9 = 0.
-2, -1, -2/3, -2/69, 0
Solve 5*q**5/3 + 400*q**4/3 + 5620*q**3/3 - 101650*q**2/3 - 1875*q + 33750 = 0 for q.
-45, -1, 1, 10
Factor 5*m**3/2 + 155*m**2/2 + 75*m.
5*m*(m + 1)*(m + 30)/2
Factor 2*k**4/3 - 8*k**3 + 74*k**2/3 - 28*k + 32/3.
2*(k - 8)*(k - 2)*(k - 1)**2/3
Suppose n**4/3 + 10*n**3/3 - 17*n**2/3 - 22*n = 0. Calculate n.
-11, -2, 0, 3
Factor d**4/3 - 2*d**3