**3 + 75*v**2 + 135*v - 1215.
5*(v - 3)*(v + 9)**2
Factor -3*r**3 - 18*r**2 - 36*r - 24.
-3*(r + 2)**3
Suppose 2*h**5/3 + 12*h**4 + 68*h**3 + 272*h**2/3 - 266*h - 588 = 0. Calculate h.
-7, -3, 2
Factor -2*z**5 - 14*z**4 + 22*z**3 + 38*z**2 - 76*z + 32.
-2*(z - 1)**3*(z + 2)*(z + 8)
Factor 3*d**3/5 - 81*d**2/5 + 186*d/5 + 144.
3*(d - 24)*(d - 5)*(d + 2)/5
Factor -4*f**2/7 + 52*f/7 + 408.
-4*(f - 34)*(f + 21)/7
Solve -3*w**2/7 + 3*w - 36/7 = 0 for w.
3, 4
Solve b**4 - 18*b**3 + 73*b**2 - 108*b + 52 = 0 for b.
1, 2, 13
Let -2*m**2 - 6428*m = 0. What is m?
-3214, 0
Suppose -2*n**4/5 - 102*n**3/5 = 0. Calculate n.
-51, 0
Factor -10*j**3 - 725*j**2 - 1055*j + 710.
-5*(j + 2)*(j + 71)*(2*j - 1)
Find r such that -39*r**2 + 23394*r + 3600 = 0.
-2/13, 600
Factor -5*f**3 - 3975*f**2 - 1053375*f - 93048125.
-5*(f + 265)**3
Let 4*p**2 - 1780*p + 5304 = 0. Calculate p.
3, 442
Suppose -15*v**4 - 39*v**3 + 153*v**2 - 129*v + 30 = 0. Calculate v.
-5, 2/5, 1
Factor -5*k**2 - 4765*k - 4760.
-5*(k + 1)*(k + 952)
What is s in 4*s**3 + 1116*s**2 - 2248*s = 0?
-281, 0, 2
Factor 92*o**2 + 1112*o + 96.
4*(o + 12)*(23*o + 2)
Factor h**5 - 33*h**4 + 32*h**3.
h**3*(h - 32)*(h - 1)
Factor -4*s**3 + 172*s**2 - 1756*s - 1932.
-4*(s - 23)*(s - 21)*(s + 1)
Determine h, given that 3*h**4/4 + 30*h**3 + 1101*h**2/4 - 306*h = 0.
-24, -17, 0, 1
Suppose -5*v**2 - 3460*v - 598580 = 0. What is v?
-346
Let -o**2/3 - 530*o/3 - 70225/3 = 0. What is o?
-265
Factor 3*h**2/2 - 33*h + 171/2.
3*(h - 19)*(h - 3)/2
Suppose 720*r**4 - 195*r**3 - 655*r**2 + 280*r + 20 = 0. Calculate r.
-1, -1/16, 2/3
Factor -s**4/4 - 55*s**3/4 - 19*s**2/2 + 211*s - 270.
-(s - 2)**2*(s + 5)*(s + 54)/4
Factor 2*f**4 + 36*f**3 + 66*f**2 + 32*f.
2*f*(f + 1)**2*(f + 16)
Find o such that 2*o**4 - 20*o**3 - 22*o**2 = 0.
-1, 0, 11
Factor -t**3 - 48*t**2 - 525*t + 1250.
-(t - 2)*(t + 25)**2
What is s in s**3 + 18*s**2 + 17*s = 0?
-17, -1, 0
Factor -3*k**4 + 51*k**3 - 210*k**2.
-3*k**2*(k - 10)*(k - 7)
Suppose 4*k**4 + 8*k**3 - 48*k**2 + 56*k - 20 = 0. What is k?
-5, 1
Suppose -j**3 - 747*j**2 - 1491*j - 745 = 0. Calculate j.
-745, -1
Find c such that -c**4/6 - c**3/2 = 0.
-3, 0
Find q such that 2*q**3/13 + 12*q**2/13 + 24*q/13 + 16/13 = 0.
-2
What is m in m**2/5 - 404*m/5 + 403/5 = 0?
1, 403
Let -3*w**2 - 8574*w - 6126123 = 0. Calculate w.
-1429
What is r in -12*r**3/5 - 856*r**2/5 - 276*r/5 + 568/5 = 0?
-71, -1, 2/3
Let 4*d**3 - 12*d**2 + 8*d = 0. What is d?
0, 1, 2
Factor r**5 - 7*r**4 - 98*r**3.
r**3*(r - 14)*(r + 7)
Factor 5*l**2 + 395*l + 770.
5*(l + 2)*(l + 77)
Factor 3*l**3/5 + 1206*l**2/5 + 4788*l/5 + 4776/5.
3*(l + 2)**2*(l + 398)/5
Find a, given that 5*a**3 + 19075*a**2 + 76240*a + 76220 = 0.
-3811, -2
Let u**4/4 - 3*u**2/4 + u/2 = 0. What is u?
-2, 0, 1
Determine c, given that -13*c**3 + 66*c**2 - 5*c = 0.
0, 1/13, 5
Solve -p**2/4 + 66*p - 1799/4 = 0.
7, 257
Let -3*w**2 + 1020*w - 86700 = 0. What is w?
170
Factor -4*c**5 - 24*c**4 - 32*c**3.
-4*c**3*(c + 2)*(c + 4)
Let -7*x**3 + 162*x**2 - 648*x = 0. What is x?
0, 36/7, 18
Factor -4*z**5/7 - 36*z**4 - 4332*z**3/7 - 11524*z**2/7 - 11040*z/7 - 3600/7.
-4*(z + 1)**3*(z + 30)**2/7
Let 6*b**2/11 + 5718*b/11 - 11460/11 = 0. Calculate b.
-955, 2
Determine n, given that -4*n**2 - 4*n + 168 = 0.
-7, 6
Find h, given that 2*h**5 - 23*h**4 - 18*h**3 + 65*h**2 + 82*h + 24 = 0.
-1, -1/2, 2, 12
Find s such that -s**5 + 146*s**4 - 981*s**3 + 1096*s**2 + 2224*s = 0.
-1, 0, 4, 139
Suppose n**2 - 41*n + 40 = 0. What is n?
1, 40
Factor 3*b**2 - 18*b + 24.
3*(b - 4)*(b - 2)
Factor -3*z**3/7 + 6*z**2 - 15*z + 66/7.
-3*(z - 11)*(z - 2)*(z - 1)/7
Let -n**2 - 64*n + 2457 = 0. What is n?
-91, 27
Factor -3*d**3 - 2244*d**2 - 4467*d + 6714.
-3*(d - 1)*(d + 3)*(d + 746)
Suppose -2*w**5 + 4*w**4 + 58*w**3 + 84*w**2 = 0. What is w?
-3, -2, 0, 7
Suppose -y**2 + 70*y - 69 = 0. Calculate y.
1, 69
Factor m**3/2 + 57*m**2 + 1680*m + 3136.
(m + 2)*(m + 56)**2/2
Suppose 3*r**3 - 3*r**2 - 1443*r + 12675 = 0. Calculate r.
-25, 13
Find i, given that i**2/2 + 1085*i/6 - 181/3 = 0.
-362, 1/3
Factor x**5 - 42*x**4 + 81*x**3 - 40*x**2.
x**2*(x - 40)*(x - 1)**2
Determine q so that -2*q**3/7 - 26*q**2 + 1196*q/7 + 3104/7 = 0.
-97, -2, 8
Factor x**3 + 2*x**2 + 5*x/4 + 1/4.
(x + 1)*(2*x + 1)**2/4
Factor h**3 - 84*h**2 - h + 84.
(h - 84)*(h - 1)*(h + 1)
What is d in -14*d**5/11 - 534*d**4/11 - 1574*d**3/11 - 1194*d**2/11 - 140*d/11 = 0?
-35, -2, -1, -1/7, 0
Let -4*q**5 - 160*q**4 - 596*q**3 - 728*q**2 - 288*q = 0. What is q?
-36, -2, -1, 0
Solve 2*f**3 + 34*f**2 + 60*f = 0.
-15, -2, 0
Find u such that 2*u**3 + 24*u**2 + 18*u - 44 = 0.
-11, -2, 1
Factor p**2/4 - 1188*p + 1411344.
(p - 2376)**2/4
Factor -758*m**3/13 + 6818*m**2/13 + 36*m/13.
-2*m*(m - 9)*(379*m + 2)/13
Factor -y**4/2 + 11*y**3/2 + 39*y**2/2 + 41*y/2 + 7.
-(y - 14)*(y + 1)**3/2
Factor 3*w**2 - 60*w + 57.
3*(w - 19)*(w - 1)
Suppose 3*q**2/7 - 450*q/7 - 453/7 = 0. Calculate q.
-1, 151
Factor -d**5 + 107*d**4/6 + 3*d**3.
-d**3*(d - 18)*(6*d + 1)/6
Let -4*l**5 + 12*l**4 + 36*l**3 + 20*l**2 = 0. What is l?
-1, 0, 5
Factor -48*f**2 + 63*f + 66.
-3*(f - 2)*(16*f + 11)
Let i**2/3 + 8*i/3 + 4 = 0. Calculate i.
-6, -2
Factor -2*x**5/5 + 6*x**4 - 30*x**3 + 58*x**2 - 48*x + 72/5.
-2*(x - 6)**2*(x - 1)**3/5
Suppose 3*m**5/2 - 5*m**4 - 71*m**3/2 - 27*m**2 + 38*m + 28 = 0. What is m?
-2, -2/3, 1, 7
Factor 4*n**4 - 1532*n**3 - 3080*n**2.
4*n**2*(n - 385)*(n + 2)
Suppose -2*w**3 + 18*w**2 - 48*w + 32 = 0. Calculate w.
1, 4
Factor 5*d**3/2 + 35*d**2/4 - 25*d + 55/4.
5*(d - 1)**2*(2*d + 11)/4
Solve x**2 - 43*x - 138 = 0 for x.
-3, 46
Factor -2*y**3/17 - 264*y**2/17 - 11616*y/17 - 170368/17.
-2*(y + 44)**3/17
Determine m so that -2*m**2/5 + 32/5 = 0.
-4, 4
Find r such that 28*r**4/3 + 76*r**3/3 + 32*r**2/3 - 16*r/3 = 0.
-2, -1, 0, 2/7
Factor -5*c**2 + 130*c - 525.
-5*(c - 21)*(c - 5)
Solve k**2/11 + 4196*k/11 + 4401604/11 = 0.
-2098
Solve -2*c**3/13 + 20*c**2/13 - 62*c/13 + 60/13 = 0.
2, 3, 5
Factor -14*r**5 + 54*r**4 - 78*r**3 + 50*r**2 - 12*r.
-2*r*(r - 1)**3*(7*r - 6)
Solve -2*y**3/7 + 22*y**2/7 + 2*y/7 - 22/7 = 0 for y.
-1, 1, 11
Factor 4*d**3/7 + 20*d**2/7 - 36*d/7 - 180/7.
4*(d - 3)*(d + 3)*(d + 5)/7
Factor -3*j**2/4 - 33*j/2 - 363/4.
-3*(j + 11)**2/4
Suppose -5*g**2/3 + 590*g - 3520/3 = 0. Calculate g.
2, 352
Solve -5*d**5 - 10*d**4 + 15*d**3 = 0.
-3, 0, 1
Let k**3 - 69*k**2 + 387*k - 567 = 0. Calculate k.
3, 63
Suppose -81*j**4/5 - 1008*j**3/5 - 3363*j**2/5 - 2928*j/5 + 828/5 = 0. What is j?
-23/3, -3, -2, 2/9
Determine r so that 2*r**4/3 - 28*r**3/9 + 34*r**2/9 - 4*r/3 = 0.
0, 2/3, 1, 3
What is l in 749*l**2/3 - 249*l - 2/3 = 0?
-2/749, 1
Factor 3*a**4 - 9*a**2 + 6*a.
3*a*(a - 1)**2*(a + 2)
Solve -3*a**5/5 + 36*a**3/5 + 48*a**2/5 = 0.
-2, 0, 4
Factor -3*o**4 + 51*o**3 - 300*o**2 + 684*o - 432.
-3*(o - 6)**2*(o - 4)*(o - 1)
Find i such that i**3/9 + 5*i**2/9 + 2*i/3 = 0.
-3, -2, 0
Find d such that -8*d**4/3 + 98*d**3/5 - 436*d**2/15 - 128*d/5 - 64/15 = 0.
-2/5, -1/4, 4
Solve -6*d**4 - 122*d**3 + 646*d**2/3 - 102*d + 44/3 = 0.
-22, 1/3, 1
Determine z so that -2*z**2/7 + 416*z/7 - 414/7 = 0.
1, 207
Let -4*z**3/7 - 450*z**2/7 + 228*z/7 + 226/7 = 0. Calculate z.
-113, -1/2, 1
Find v such that -3*v**5/2 - 15*v**4 + 297*v**3/2 + 48*v**2 - 402*v - 288 = 0.
-16, -1, 2, 6
Factor v**4 + 105*v**3 + 2808*v**2 + 2704*v.
v*(v + 1)*(v + 52)**2
Factor -3*v**2 - 876*v.
-3*v*(v + 292)
Let 2*m**2/3 - 104*m/3 + 1352/3 = 0. What is m?
26
Solve -4*t**2/3 + 136*t/3 + 96 = 0 for t.
-2, 36
Find l, given that 25*l**3 + 580*l**2 + 95*l - 460 = 0.
-23, -1, 4/5
Let -13*o**3/7 - 24*o**2/7 + 4*o/7 = 0. Calculate o.
-2, 0, 2/13
Let -4*h**3 + 352*h**2 + 3532*h - 3880 = 0. Calculate h.
-10, 1, 97
Factor -2*a**5/5 + 316*a**4/5 + 5376*a**3/5 + 32896*a**2/5 + 88576*a/5 + 89088/5.
-2*(a - 174)*(a + 4)**4/5
Find g such that g**2/3 - 4*g/3 + 1 = 0.
1, 3
Determine i so that -i**3/9 - 769*i**2/9 - 256*i/3 = 0.
-768, -1, 0
Factor b**3/3 + 32*b**2/3 - 35*b/3 - 22.
(b - 2)*(b + 1)*(b + 33)/3
Determine x so that -x**3 - 3*x**2 - 3*x - 1 = 0.
-1
Let t**5/6 + 5*t**4/3 - 23*t**3/6 + 2*t**2 = 0. Calculate t.
-12, 0, 1
Factor 64*b**2 - 4976*b + 96721.
(8*b - 311)**2
Suppose -15*v**4 + 355*v**3 - 2375*v**2 + 3245*v - 1210 = 0. Calculate v.
2/3, 1, 11
Determine q, given that q**5 - 6*q**4 - 2*q**3 + 12*q