that -3*w**2/2 + 339*w/2 = 0.
0, 113
Factor -y**3/3 - 478*y**2/3 - 18880*y + 38400.
-(y - 2)*(y + 240)**2/3
Factor -2*h**3 + 18*h**2 + 44*h.
-2*h*(h - 11)*(h + 2)
Factor -o**4/6 - 7*o**3/6 - 2*o**2.
-o**2*(o + 3)*(o + 4)/6
Factor 35*x**5 - 80*x**4 + 20*x**3 + 70*x**2 - 55*x + 10.
5*(x - 1)**3*(x + 1)*(7*x - 2)
Solve 4*t**3 + 139*t**2/3 + 26*t + 11/3 = 0 for t.
-11, -1/3, -1/4
Factor -5*u**4 + 165*u**3 - 740*u**2 + 1140*u - 560.
-5*(u - 28)*(u - 2)**2*(u - 1)
Factor -18*a**3/7 + 60*a**2/7 + 46*a/7 + 8/7.
-2*(a - 4)*(3*a + 1)**2/7
Factor i**2 + 895*i + 1786.
(i + 2)*(i + 893)
Find v, given that -2*v**4/21 - 2*v**3/7 + 10*v**2/7 - 34*v/21 + 4/7 = 0.
-6, 1
Solve m**3/3 + 11*m**2 + 105*m + 225 = 0.
-15, -3
Determine g so that -g**2 + 408*g + 409 = 0.
-1, 409
Determine v so that 2*v**3 - 374*v**2 + 17670*v - 17298 = 0.
1, 93
Let -4*c**3 + 108*c**2 + 352*c + 240 = 0. Calculate c.
-2, -1, 30
Suppose -5*y**3 - 160*y**2 + 175*y + 330 = 0. Calculate y.
-33, -1, 2
Find u, given that -4*u**5 - 68*u**4 - 84*u**3 + 548*u**2 + 88*u - 480 = 0.
-15, -4, -1, 1, 2
Solve -5*c**2 - 130*c + 135 = 0.
-27, 1
Solve s**5/4 + s**4 - s**3/4 - 4*s**2 - 3*s = 0.
-3, -2, -1, 0, 2
Find v such that -5*v**2 + 1380*v - 95220 = 0.
138
Suppose -h**5 - 516*h**4 - 68094*h**3 - 394740*h**2 - 585225*h = 0. Calculate h.
-255, -3, 0
Factor 3*r**5/5 + 12*r**4/5 + 3*r**3 + 6*r**2/5.
3*r**2*(r + 1)**2*(r + 2)/5
Factor 3*k**4 - 207*k**3 - 660*k**2 + 864*k.
3*k*(k - 72)*(k - 1)*(k + 4)
Determine g, given that 2*g**3 - 84*g**2 - 86*g = 0.
-1, 0, 43
Factor 3*s**4 + 6*s**3 - 57*s**2 + 84*s - 36.
3*(s - 2)*(s - 1)**2*(s + 6)
Factor -3*r**2/7 + 15336*r/7 - 19599408/7.
-3*(r - 2556)**2/7
Factor 12*f**2 + 68*f + 40.
4*(f + 5)*(3*f + 2)
Let 4*c**3 + 68*c**2 + 280*c = 0. Calculate c.
-10, -7, 0
Suppose -3*l**2 - 23322*l - 45326307 = 0. Calculate l.
-3887
Let 2*d**2 - 22*d + 56 = 0. What is d?
4, 7
Factor r**2 - 8*r - 9.
(r - 9)*(r + 1)
Determine v so that -20*v**5/3 - 152*v**4/3 - 256*v**3/3 + 128*v**2/3 = 0.
-4, 0, 2/5
Suppose 22*m**4/19 + 262*m**3/19 + 744*m**2/19 - 360*m/19 - 864/19 = 0. Calculate m.
-6, -1, 12/11
Factor 3*c**4/4 - 369*c**3/2 + 366*c**2.
3*c**2*(c - 244)*(c - 2)/4
Suppose -r**3/3 - 7*r**2/3 = 0. Calculate r.
-7, 0
Suppose -2*a**3/7 + 44*a**2/7 - 106*a/7 - 152/7 = 0. What is a?
-1, 4, 19
What is i in i**2/2 + 21*i/2 - 11 = 0?
-22, 1
Determine h so that 4*h**3 - 120*h**2 - 532*h - 408 = 0.
-3, -1, 34
Factor r**2/6 - 2*r + 10/3.
(r - 10)*(r - 2)/6
Factor -r**3/3 + 25*r**2/3 - 56*r + 48.
-(r - 12)**2*(r - 1)/3
Determine w so that 4*w**5 - 62*w**4/3 - 100*w**3 + 88*w**2/3 + 336*w + 640/3 = 0.
-2, -5/6, 2, 8
Find p, given that -2*p**4/23 - 10*p**3/23 - 14*p**2/23 - 6*p/23 = 0.
-3, -1, 0
What is m in m**3 + 36*m**2 - 157*m + 120 = 0?
-40, 1, 3
Factor 58*n**2 - 404*n - 14.
2*(n - 7)*(29*n + 1)
Factor -5*a**4 - 45*a**3 + 75*a**2 + 265*a + 150.
-5*(a - 3)*(a + 1)**2*(a + 10)
Determine a, given that a**4 - 3*a**3 - 25*a**2 - 21*a = 0.
-3, -1, 0, 7
Let -3*o**5 - 6*o**4 + 24*o**3 + 48*o**2 - 48*o - 96 = 0. Calculate o.
-2, 2
Factor 5*z**5 - 15*z**4 - 125*z**3 - 105*z**2.
5*z**2*(z - 7)*(z + 1)*(z + 3)
Suppose 2*s**4/11 + 4*s**3/11 - 174*s**2/11 + 720*s/11 - 864/11 = 0. Calculate s.
-12, 3, 4
Factor 7*w**5 - 51*w**4 + 14*w**3.
w**3*(w - 7)*(7*w - 2)
Find s such that -4*s**3 - 84*s**2 + 4*s + 84 = 0.
-21, -1, 1
Solve -t**3 + 10*t**2 - 28*t + 24 = 0.
2, 6
Solve 5*o**4 + 20*o**3 - 55*o**2 + 30*o = 0.
-6, 0, 1
Let 5*k**4 - 35*k**3 - 5*k**2 + 35*k = 0. Calculate k.
-1, 0, 1, 7
Let -n**2/5 + 6*n/5 - 8/5 = 0. Calculate n.
2, 4
Factor 5*o**4 + 35*o**3 + 55*o**2 + 25*o.
5*o*(o + 1)**2*(o + 5)
Let -k**3/2 + 33*k**2/2 - 60*k - 1400 = 0. What is k?
-7, 20
Factor -6*y**2/11 + 2886*y/11 - 5748/11.
-6*(y - 479)*(y - 2)/11
Suppose -35*q**5 + 460*q**4 + 2880*q**3 + 3440*q**2 - 3280*q - 5760 = 0. What is q?
-2, 8/7, 18
Determine c, given that c**2/6 + 6*c + 34/3 = 0.
-34, -2
Factor 6*x**2/5 + 2096*x/5 + 698/5.
2*(x + 349)*(3*x + 1)/5
Determine p, given that -3*p**5/2 - 21*p**4/2 + 9*p**3/2 + 69*p**2/2 + 21*p = 0.
-7, -1, 0, 2
Factor -5*u**4 + u**3 + 5*u**2 - u.
-u*(u - 1)*(u + 1)*(5*u - 1)
Factor -2*q**4 + 90*q**3 - 1134*q**2 + 2646*q.
-2*q*(q - 21)**2*(q - 3)
Determine b so that 3*b**4 - 90*b**3 + 972*b**2 - 4374*b + 6561 = 0.
3, 9
Solve -3*i**4/2 + 51*i**3 + 561*i**2/2 + 462*i + 234 = 0 for i.
-2, -1, 39
What is j in -j**5/6 + j**4/3 + j**3/3 - 2*j**2/3 - j/6 + 1/3 = 0?
-1, 1, 2
Suppose -4*v**4 - 76*v**3 + 120*v**2 + 832*v + 640 = 0. What is v?
-20, -2, -1, 4
Factor 3*g**4 - 21*g**3 + 18*g**2.
3*g**2*(g - 6)*(g - 1)
Determine b, given that 2*b**2 + 66*b - 68 = 0.
-34, 1
Determine z, given that 55*z**2 + 1165*z + 1110 = 0.
-222/11, -1
Factor -2*t**2/13 - 424*t/13 + 426/13.
-2*(t - 1)*(t + 213)/13
Factor -3*h**2 - 234*h.
-3*h*(h + 78)
What is n in -75*n**5 + 455*n**4 + 505*n**3 - 95*n**2 - 70*n = 0?
-1, -1/3, 0, 2/5, 7
Factor b**3/2 + 17*b**2/2.
b**2*(b + 17)/2
Solve h**4/2 + 11*h**3/2 - 8*h**2 - 88*h = 0 for h.
-11, -4, 0, 4
Suppose 2*j**5/5 - 16*j**3/5 - 12*j**2/5 + 14*j/5 + 12/5 = 0. What is j?
-2, -1, 1, 3
Factor -g**3/7 - 25*g**2/7 - 143*g/7 + 169/7.
-(g - 1)*(g + 13)**2/7
Let -375*k**5 + 19425*k**4 + 4170*k**3 - 13884*k**2 - 8088*k - 1248 = 0. What is k?
-2/5, 1, 52
Determine a, given that -6*a**3/7 + 288*a**2/7 - 558*a/7 + 276/7 = 0.
1, 46
Factor -j**3/6 - 13*j**2/6 + 50*j.
-j*(j - 12)*(j + 25)/6
Solve -2*l**5/3 + 10*l**4/3 + 124*l**3/3 + 100*l**2/3 - 122*l/3 - 110/3 = 0 for l.
-5, -1, 1, 11
Determine x so that 3*x**2 - 525*x = 0.
0, 175
Factor q**4 - 12*q**3.
q**3*(q - 12)
Factor -w**4/10 - 3*w**3/5 - 11*w**2/10 - 3*w/5.
-w*(w + 1)*(w + 2)*(w + 3)/10
Determine w so that 2*w**5 - 42*w**4 + 216*w**3 = 0.
0, 9, 12
Let -3*p**5 - 45*p**4 - 243*p**3 - 555*p**2 - 450*p = 0. What is p?
-5, -3, -2, 0
What is n in -5*n**3 - 150*n**2 - 955*n - 1650 = 0?
-22, -5, -3
Factor 4*g**2/3 + 36*g + 680/3.
4*(g + 10)*(g + 17)/3
Determine t so that 39*t**3 + 204*t**2 + 279*t + 54 = 0.
-3, -2, -3/13
Factor u**4 - 2*u**3 - 19*u**2 + 20*u.
u*(u - 5)*(u - 1)*(u + 4)
Find k, given that -4*k**5 - 16*k**4 - 12*k**3 = 0.
-3, -1, 0
Find n such that 11858*n**3 - 308*n**2 + 2*n = 0.
0, 1/77
Determine p so that -p**3 - 12*p**2 - 41*p - 30 = 0.
-6, -5, -1
Suppose -5*c**3 - 7105*c**2 + 7120*c + 14220 = 0. What is c?
-1422, -1, 2
Factor 65*b**2/3 + 128*b/3 - 4/3.
(b + 2)*(65*b - 2)/3
Find s such that 2*s**2 - 424*s + 22472 = 0.
106
Factor -2*s**3/7 + 38*s**2 + 8*s/7 - 152.
-2*(s - 133)*(s - 2)*(s + 2)/7
Find q such that 99*q**5/8 - 42*q**4 + 251*q**3/8 + 59*q**2/4 - 35*q/2 + 1 = 0.
-2/3, 2/33, 1, 2
Factor w**5/3 - 4*w**4/3 + 2*w**3 - 4*w**2/3 + w/3.
w*(w - 1)**4/3
Let i**4 - 6*i**3 - 28*i**2 + 6*i + 27 = 0. Calculate i.
-3, -1, 1, 9
Solve -4*g**5/3 - 80*g**4/3 + 896*g**3/3 = 0.
-28, 0, 8
Factor -d**3/8 - 59*d**2/8 + 121*d/8 - 61/8.
-(d - 1)**2*(d + 61)/8
Solve -4*y**3 - 1144*y**2 - 4492*y + 5640 = 0.
-282, -5, 1
Factor 2*g**4/3 + 28*g**3/3 + 48*g**2 + 108*g + 90.
2*(g + 3)**3*(g + 5)/3
Factor -5*v**3 - 180*v**2 - 1620*v.
-5*v*(v + 18)**2
Factor 14*q**3 + 10*q**2 - 88*q + 24.
2*(q - 2)*(q + 3)*(7*q - 2)
Find v, given that -2*v**2 - 173*v - 86 = 0.
-86, -1/2
Factor -4*a**4 + 4*a**3 + 24*a**2.
-4*a**2*(a - 3)*(a + 2)
Factor 4*w**3 - 216*w**2 + 2144*w - 5376.
4*(w - 42)*(w - 8)*(w - 4)
Suppose -14*s**4 - 1871*s**3/2 - 219*s**2 + 1871*s/2 + 233 = 0. Calculate s.
-466/7, -1, -1/4, 1
What is d in -2*d**5/9 + 4*d**4/9 + 56*d**3/3 + 84*d**2 + 138*d + 72 = 0?
-3, -1, 12
Factor q**4 - 81*q**3 + 1824*q**2 - 12544*q.
q*(q - 49)*(q - 16)**2
Find r such that -11*r**4/4 - 5*r**3 + 37*r**2/4 - 3*r/2 = 0.
-3, 0, 2/11, 1
Suppose 4*f**3 + 136*f**2 + 836*f - 5776 = 0. Calculate f.
-19, 4
Determine b, given that -3*b**4 + 48*b**3 = 0.
0, 16
Factor 3*w**3 + 132*w**2 - 3*w - 132.
3*(w - 1)*(w + 1)*(w + 44)
Let -22*f**3 - 70*f**2 - 56*f - 8 = 0. Calculate f.
-2, -1, -2/11
Factor -3*w**3 + 21*w**2 + 3*w - 21.
-3*(w - 7)*(w - 1)*(w + 1)
Find x such that 5*x**4 - 730*x**3 + 39545*x**2 - 941700*x + 8320500 = 0.
30, 43
Find a, given that a**4/8 + 353*a**3/8 + 351*a**2/8 - 353*a/8 - 44 = 0.
-352, -1, 1
Factor -3*a**3 + 129*a**2 + 267*a + 135.
-3*(a - 45)*(a + 1)**2
Find u, given that -2*u**2/11 - 3956*u/11 - 1956242/11 = 0.
-989
Factor 4*h**2 + 188*h - 192.
4*(h - 1