2 + 24*w + 4 = 0.
-1, -1/3, 1
Solve -3*l**3 + 543*l**2/4 - 135*l/4 = 0.
0, 1/4, 45
Factor c**2 - 13*c + 40.
(c - 8)*(c - 5)
Factor 5*j**4 + 825*j**3 - 1685*j**2 - 2505*j.
5*j*(j - 3)*(j + 1)*(j + 167)
Factor -3*t**3 - 18*t**2 - 27*t.
-3*t*(t + 3)**2
Determine z, given that -9*z**2 - 12*z - 3 = 0.
-1, -1/3
Suppose 2*u**5/7 - 2*u**4 + 38*u**3/7 - 50*u**2/7 + 32*u/7 - 8/7 = 0. What is u?
1, 2
Determine j, given that 3*j**5 - 72*j**4 + 249*j**3 - 168*j**2 - 252*j + 240 = 0.
-1, 1, 2, 20
Find b, given that 4*b**2 + 3136*b + 614656 = 0.
-392
Suppose -45*r**5 - 710*r**4 + 1825*r**3 + 350*r**2 - 1780*r + 360 = 0. Calculate r.
-18, -1, 2/9, 1, 2
Factor 2*p**2/5 + 62*p/5 - 204/5.
2*(p - 3)*(p + 34)/5
Factor 5*u**2 + 250*u - 255.
5*(u - 1)*(u + 51)
Factor 2*s**3 + 22*s**2 - 560*s - 6664.
2*(s - 17)*(s + 14)**2
Let -4*c**4/13 + 146*c**3/13 - 1590*c**2/13 + 4288*c/13 + 2560/13 = 0. What is c?
-1/2, 5, 16
Factor -5*v**3 - 870*v**2 - 865*v.
-5*v*(v + 1)*(v + 173)
Factor -5*w**2 - 210*w + 920.
-5*(w - 4)*(w + 46)
Let 2*c**5/5 + 12*c**4/5 - 6*c**3 + 16*c**2/5 = 0. What is c?
-8, 0, 1
Factor 2916*a**5 + 42768*a**4 + 132624*a**3 - 434560*a**2 - 1455104*a + 2809856.
4*(a - 2)**2*(9*a + 56)**3
Factor 33*f**4 - 27504*f**3 + 7636104*f**2 - 704830080*f - 386729136.
3*(f - 278)**3*(11*f + 6)
Factor -c**4/5 + 3*c**3/5 - c**2/5 - 3*c/5 + 2/5.
-(c - 2)*(c - 1)**2*(c + 1)/5
Solve -3*m**5 + 3*m**4 + 15*m**3 - 15*m**2 - 12*m + 12 = 0 for m.
-2, -1, 1, 2
Find a, given that -2*a**4/3 - 106*a**3/3 - 134*a**2 - 494*a/3 - 196/3 = 0.
-49, -2, -1
Factor -p**5/2 - 11*p**4/2 - 12*p**3 + 18*p**2.
-p**2*(p - 1)*(p + 6)**2/2
Factor -2*a**3 - 1794*a**2 - 536406*a - 53461798.
-2*(a + 299)**3
Factor 3*f**2/4 - 1377*f/4 - 345.
3*(f - 460)*(f + 1)/4
Factor 105*a**3 - 423*a**2 + 432*a - 12.
3*(a - 2)**2*(35*a - 1)
Let -4*b**4 - 24*b**3 + 192*b**2 - 296*b + 132 = 0. What is b?
-11, 1, 3
Factor 4*q**5 + 46*q**4 + 120*q**3 - 72*q**2.
2*q**2*(q + 6)**2*(2*q - 1)
Factor 2*t**2 - 2672*t + 892448.
2*(t - 668)**2
Factor 4*y**4 + y**3 - 7*y**2 - y + 3.
(y - 1)*(y + 1)**2*(4*y - 3)
Let -4*j**3/5 + 108*j**2 - 4860*j + 72900 = 0. What is j?
45
Factor -3*s**3 - 96*s**2 + 99*s.
-3*s*(s - 1)*(s + 33)
Solve -5*a**2 - 75*a + 3780 = 0.
-36, 21
Suppose 7*s**5/2 + 9*s**4/2 - 33*s**3/2 + 11*s**2/2 + 3*s = 0. Calculate s.
-3, -2/7, 0, 1
Determine g so that -3*g**5/5 + 9*g**4 - 213*g**3/5 + 279*g**2/5 + 216*g/5 - 324/5 = 0.
-1, 1, 3, 6
Factor 5*r**2/2 - 325*r/2.
5*r*(r - 65)/2
Determine n so that -2*n**3/11 + 48*n**2/11 + 162*n/11 = 0.
-3, 0, 27
Determine n, given that -5*n**2 + 35*n = 0.
0, 7
Find x such that -2*x**3/15 + 70*x**2/3 + 706*x/15 + 118/5 = 0.
-1, 177
Solve -18*t**3/7 + 724*t**2/7 - 7360*t/7 + 1600/7 = 0.
2/9, 20
Factor 3*u**3 - 36*u**2 + 108*u.
3*u*(u - 6)**2
Factor -o**2/5 + 3758*o/5 - 3530641/5.
-(o - 1879)**2/5
Factor 4*l**2 - 1132*l.
4*l*(l - 283)
Determine b so that 4*b**4/3 + 4*b**3/3 - 8*b**2 = 0.
-3, 0, 2
Factor -2*f**5/13 + 4*f**4/13.
-2*f**4*(f - 2)/13
Solve -2*m**2 + 9428*m - 11110898 = 0 for m.
2357
Factor 5*l**3 + 50*l**2 - 1760*l + 8320.
5*(l - 8)**2*(l + 26)
Factor -m**4 - 16*m**3 - 55*m**2 + 72*m.
-m*(m - 1)*(m + 8)*(m + 9)
Determine p so that -5*p**5 + 15*p**3 + 10*p**2 = 0.
-1, 0, 2
Factor 2*p**3/11 - 28*p**2/11 + 120*p/11 - 144/11.
2*(p - 6)**2*(p - 2)/11
Factor -2*g**3/5 + 6*g**2/5 - 4*g/5.
-2*g*(g - 2)*(g - 1)/5
Find m, given that m**5/5 - 7*m**4/5 + 3*m**3/5 + 19*m**2/5 - 4*m/5 - 12/5 = 0.
-1, 1, 2, 6
Determine c so that 63*c**2/2 + 93*c - 9/2 = 0.
-3, 1/21
Factor 5*j**2 + 1730*j + 149645.
5*(j + 173)**2
Let -100*j**5 + 705*j**4 + 970*j**3 - 1685*j**2 + 30*j + 80 = 0. Calculate j.
-2, -1/5, 1/4, 1, 8
Suppose -5*z**2 + 55*z + 130 = 0. What is z?
-2, 13
Factor 2*t**4 - 332*t**3 + 13776*t**2 + 332*t - 13778.
2*(t - 83)**2*(t - 1)*(t + 1)
Factor -t**3/8 + 25*t**2/8 - 21*t/2.
-t*(t - 21)*(t - 4)/8
Determine b so that -2*b**5/3 + 46*b**4 - 2452*b**3/3 + 16096*b**2/3 - 9472*b - 47104/3 = 0.
-1, 8, 46
Find f such that -45*f**4 - 170*f**3 - 95*f**2 + 30*f = 0.
-3, -1, 0, 2/9
Find w such that -4*w**4 + 24*w**3 + 12*w**2 - 224*w + 192 = 0.
-3, 1, 4
Factor -5*h**4 - 10*h**3 + 40*h**2 + 90*h + 45.
-5*(h - 3)*(h + 1)**2*(h + 3)
Factor g**3/5 + 38*g**2/5 + 307*g/5 + 54.
(g + 1)*(g + 10)*(g + 27)/5
Find o, given that -50*o**2 - 615*o - 180 = 0.
-12, -3/10
Let -3*c**3 + 711*c**2 - 56169*c + 1479117 = 0. Calculate c.
79
Factor -y**5/4 + 2*y**4 + 5*y**3 + y**2/2 - 19*y/4 - 5/2.
-(y - 10)*(y - 1)*(y + 1)**3/4
Factor c**3 - 16*c**2.
c**2*(c - 16)
Solve -336*o**5/5 - 3162*o**4/5 - 990*o**3 + 1086*o**2 + 2766*o/5 + 252/5 = 0.
-7, -3, -2/7, -1/8, 1
Find p, given that -p**3/7 + 17*p**2 - 3480*p/7 - 3600/7 = 0.
-1, 60
Solve -3*x**3 - 30*x**2 - 81*x - 54 = 0.
-6, -3, -1
Find h such that -3*h**2 + 147 = 0.
-7, 7
Solve 5*y**5 + 285*y**4 + 3610*y**3 - 12900*y**2 + 9000*y = 0.
-30, 0, 1, 2
Let 4*w**2/5 + 124*w/5 - 128/5 = 0. Calculate w.
-32, 1
Find d, given that 2*d**3/7 - 8*d/7 = 0.
-2, 0, 2
Factor w**4/4 - 19*w**3/4 - 33*w**2/2 - w + 22.
(w - 22)*(w - 1)*(w + 2)**2/4
Solve 3*x**2/7 + 636*x/7 = 0 for x.
-212, 0
Solve 3*x**3 + 12*x**2 + 3*x - 18 = 0.
-3, -2, 1
Let 18*x**5 + 238*x**4 + 826*x**3 + 442*x**2 - 1236*x - 288 = 0. Calculate x.
-8, -3, -2/9, 1
Let -13*p**4 + 50*p**3 + 281*p**2 + 42*p = 0. What is p?
-3, -2/13, 0, 7
Determine i so that 2*i**3/5 + 7504*i**2/5 + 7502*i/5 = 0.
-3751, -1, 0
Let -2*h**5/3 - 26*h**4/3 + 2*h**3 + 82*h**2/3 + 52*h/3 = 0. Calculate h.
-13, -1, 0, 2
What is b in 10*b**5 + 22*b**4 - 312*b**3/5 + 184*b**2/5 - 32*b/5 = 0?
-4, 0, 2/5, 1
Factor 3*f**4 - 12*f**3 + 18*f**2 - 12*f + 3.
3*(f - 1)**4
Find b such that 28*b**5 - 36*b**4 - 188*b**3 + 420*b**2 - 272*b + 48 = 0.
-3, 2/7, 1, 2
Suppose -8*c**3 - 116*c**2 - 388*c + 224 = 0. What is c?
-8, -7, 1/2
Solve -2*a**3/5 + 32*a**2/5 - 22*a - 144/5 = 0 for a.
-1, 8, 9
Factor 3*j**2/7 + 30*j/7 - 1800/7.
3*(j - 20)*(j + 30)/7
Factor 3*x**5 - 12*x**4 - 57*x**3 - 42*x**2.
3*x**2*(x - 7)*(x + 1)*(x + 2)
Factor -2*o**2/3 - 32*o/3 - 110/3.
-2*(o + 5)*(o + 11)/3
Determine v so that -22*v**2 + 28*v - 6 = 0.
3/11, 1
Determine n so that 2*n**2/15 + 172*n/3 + 286/5 = 0.
-429, -1
Find j such that -2*j**3 - 1364*j**2 - 231192*j + 467856 = 0.
-342, 2
Find r, given that -45*r**5/2 - 405*r**4/2 + 25*r**3 + 225*r**2 - 5*r/2 - 45/2 = 0.
-9, -1, -1/3, 1/3, 1
Determine c so that 3*c**4/4 - 15*c**3/4 + 3*c**2/4 + 63*c/4 - 27/2 = 0.
-2, 1, 3
Determine t, given that -t**5/3 - 47*t**4/3 + 69*t**3 + 139*t**2/3 - 706*t/3 + 136 = 0.
-51, -2, 1, 4
Factor -2*s**2/7 - 32*s - 222/7.
-2*(s + 1)*(s + 111)/7
Factor 2*g**4/7 - 2*g**3/7 - 6*g**2 + 82*g/7 - 40/7.
2*(g - 4)*(g - 1)**2*(g + 5)/7
Determine k so that 36*k**5 - 118*k**4 - 2142*k**3 + 7832*k**2 - 7848*k + 2240 = 0.
-8, 1/2, 1, 2, 70/9
Factor -5*f**4 + 5*f**3 + 15*f**2 - 5*f - 10.
-5*(f - 2)*(f - 1)*(f + 1)**2
Determine n so that 5*n**3 + 605*n**2 + 17360*n - 57660 = 0.
-62, 3
Determine p so that 2*p**3 + 62*p**2 + 206*p - 270 = 0.
-27, -5, 1
Solve 60*c**3 + 4315*c**2 + 3915*c + 710 = 0 for c.
-71, -2/3, -1/4
Factor 5*c**4/4 - c**3 - 5*c**2/4 + c.
c*(c - 1)*(c + 1)*(5*c - 4)/4
What is g in -16*g**3/5 + 2014*g**2/5 - 63252*g/5 - 7938/5 = 0?
-1/8, 63
Determine b, given that -3*b**5/4 - 3*b**4/4 + 15*b**3/2 + 3*b**2 - 18*b = 0.
-3, -2, 0, 2
Factor 2*n**2 + 102*n - 104.
2*(n - 1)*(n + 52)
What is m in m**4/3 - 14*m**3/3 + 44*m**2/3 - 40*m/3 = 0?
0, 2, 10
Determine m, given that -4*m**2/3 - 9176*m/3 - 5262436/3 = 0.
-1147
Factor o**3 - 194*o**2 + 9409*o.
o*(o - 97)**2
Factor a**2/3 - 72*a + 3888.
(a - 108)**2/3
Factor 2*b**4 + 60*b**3 - 648*b**2 + 2052*b - 2106.
2*(b - 3)**3*(b + 39)
Factor 2*c**3 + 39*c**2 + 180*c + 243.
(c + 3)**2*(2*c + 27)
Determine i so that -48*i**4 - 10536*i**3 - 575523*i**2 + 289740*i - 36300 = 0.
-110, 1/4
Let 26*r**5 - 212*r**4 + 474*r**3 - 328*r**2 + 40*r = 0. Calculate r.
0, 2/13, 1, 2, 5
Factor 2*t**3/11 + 30*t**2/11 - 416*t/11 + 384/11.
2*(t - 8)*(t - 1)*(t + 24)/11
Solve 6*w**4 + 34*w**3 - 18*w**2 - 114*w - 68 = 0 for w.
-17/3, -1, 2
Determine t, given that 5*t**5 - 10*t**4 - 5*t**3 + 10*t**2 = 0.
-1, 0, 1, 2
Solve a**4/3 + 200*a**3/3 + 5000*a**2 + 500000*a/3 + 6250000/3 = 0 for a.
-50
Determine t so that 4*t**4 - 32*t**3 - 4*t**2 + 272*t - 336 = 0.
-3, 2, 7
Factor 2*w**2/5 - 18/5.
2