so that -p**4/3 + 7*p**3/2 - 32*p**2/3 + 21*p/2 - 3 = 0.
1/2, 1, 3, 6
Find m, given that -4*m**2 + 452*m + 920 = 0.
-2, 115
Factor h**4/3 - 16*h**3 + 526*h**2/3 + 400*h + 625/3.
(h - 25)**2*(h + 1)**2/3
Factor -4*z**3/5 - 76*z**2/5 - 344*z/5 - 416/5.
-4*(z + 2)*(z + 4)*(z + 13)/5
Determine g so that 2*g**4/5 + 4*g**3 + 58*g**2/5 + 8*g = 0.
-5, -4, -1, 0
Factor -6*b**4/5 + 9*b**3/5 + 9*b**2/5 - 21*b/5 + 9/5.
-3*(b - 1)**3*(2*b + 3)/5
Factor 3*o**3/8 + 2133*o**2/2 + 1011042*o + 319489272.
3*(o + 948)**3/8
Factor 2*d**3 + 2060*d**2.
2*d**2*(d + 1030)
Suppose 5*v**4 - 270*v**3 + 4565*v**2 - 21780*v - 26620 = 0. Calculate v.
-1, 11, 22
Factor -w**4 - 11*w**3 - 30*w**2 + 32*w + 160.
-(w - 2)*(w + 4)**2*(w + 5)
Let -d**3 - d**2 + 5*d - 3 = 0. What is d?
-3, 1
Factor 5*r**3 - 125*r**2 + 840*r - 720.
5*(r - 12)**2*(r - 1)
Solve 35*c**5/4 - 5*c**4/2 - 245*c**3/4 - 35*c**2 + 15*c = 0 for c.
-2, -1, 0, 2/7, 3
Factor 3*z**5 + 81*z**4 + 294*z**3 + 426*z**2 + 279*z + 69.
3*(z + 1)**4*(z + 23)
Factor 4*p**3 + 292*p**2.
4*p**2*(p + 73)
Let 6*o**4 + 65*o**3 + 199*o**2 + 115*o - 25 = 0. Calculate o.
-5, -1, 1/6
Factor 21*c**4 - 132*c**3 - 279*c**2 - 78*c + 48.
3*(c - 8)*(c + 1)**2*(7*c - 2)
Factor -b**4/8 - 13*b**3/8 - 3*b**2/2.
-b**2*(b + 1)*(b + 12)/8
Find j, given that 4*j**3 - 20*j**2 - 32*j + 48 = 0.
-2, 1, 6
Solve -b**4/12 - 5*b**3/12 - b**2/4 + 5*b/12 + 1/3 = 0 for b.
-4, -1, 1
Factor 2*b**4/7 + 4*b**3/7 - 40*b**2/7 + 48*b/7.
2*b*(b - 2)**2*(b + 6)/7
Factor x**2/5 + 8*x/5 + 7/5.
(x + 1)*(x + 7)/5
Suppose -5*c**4 + 390*c**3 - 7985*c**2 + 14820*c - 7220 = 0. What is c?
1, 38
Solve a**2 + 609*a = 0.
-609, 0
Determine a, given that 5*a**4 + 2830*a**3 - 2855*a**2 - 11320*a + 11340 = 0.
-567, -2, 1, 2
Determine u so that -u**3/10 + u**2/2 + 129*u/10 + 63/2 = 0.
-7, -3, 15
Factor y**4/4 - y**3 + y**2.
y**2*(y - 2)**2/4
Factor 3*v**3/4 + 57*v**2/4 + 213*v/4 - 273/4.
3*(v - 1)*(v + 7)*(v + 13)/4
Suppose -5*m**3 + 775*m**2 + 1565*m + 785 = 0. Calculate m.
-1, 157
Solve 3*v**5 - 54*v**4 + 249*v**3 - 414*v**2 + 216*v = 0 for v.
0, 1, 2, 3, 12
Suppose -3*u**5 + 6*u**4 + 48*u**3 - 114*u**2 - 45*u + 108 = 0. Calculate u.
-4, -1, 1, 3
Let -k**2/2 + 8*k - 14 = 0. What is k?
2, 14
Factor 2*b**4/7 + 22*b**3/7 - 120*b**2/7.
2*b**2*(b - 4)*(b + 15)/7
Factor 2*u**2/5 + 314*u/5 + 312/5.
2*(u + 1)*(u + 156)/5
Find f, given that -60*f**5 + 1252*f**4 + 168*f**3 = 0.
-2/15, 0, 21
Factor 189*f**5/5 - 726*f**4/5 - 24*f**3.
3*f**3*(f - 4)*(63*f + 10)/5
Let 4*y**4/7 - 44*y**3/7 + 156*y**2/7 - 28*y + 80/7 = 0. Calculate y.
1, 4, 5
Solve -48*w**3 + 364*w**2/3 - 128*w/3 - 16 = 0.
-2/9, 3/4, 2
Find z, given that -2*z**4/3 - 2*z**3 + 38*z**2/3 + 18*z - 60 = 0.
-5, -3, 2, 3
What is n in n**5 + 257*n**4 + 17139*n**3 + 80127*n**2 + 45360*n - 142884 = 0?
-126, -3, 1
Let 10*d**5 - 344*d**4 - 1408*d**3 + 1388*d**2 + 5142*d - 4788 = 0. What is d?
-3, 1, 7/5, 38
Let 4*l**5 + 32*l**4 + 64*l**3 - 64*l**2 - 320*l - 256 = 0. What is l?
-4, -2, 2
Factor -y**2 - 430*y + 864.
-(y - 2)*(y + 432)
Determine b, given that -36*b**4 + 188*b**3 + 464*b**2 - 112*b = 0.
-2, 0, 2/9, 7
Factor 68*s**3 + 123*s**2 + 7*s.
s*(4*s + 7)*(17*s + 1)
Determine z, given that 16*z**5/13 + 114*z**4/13 - 2*z**3/13 - 114*z**2/13 - 14*z/13 = 0.
-7, -1, -1/8, 0, 1
Factor 2*a**4/15 - 6*a**3/5 + 2*a**2 - 14*a/15.
2*a*(a - 7)*(a - 1)**2/15
Suppose -37*l**2/5 - 33*l/5 + 4/5 = 0. What is l?
-1, 4/37
Let -p**2 - 12*p = 0. What is p?
-12, 0
Find b such that -4*b**4 - 1512*b**3 - 4512*b**2 - 4504*b - 1500 = 0.
-375, -1
Find w, given that -w**4 + 22*w**3 - 21*w**2 = 0.
0, 1, 21
Factor -18*c**3 + 3966*c**2 + 2650*c + 442.
-2*(c - 221)*(3*c + 1)**2
Suppose 14*m**2/3 + 10*m/3 - 4/3 = 0. Calculate m.
-1, 2/7
Find q such that 9072*q**4 - 18072*q**3 + 62497*q**2/7 + 502*q/7 + 1/7 = 0.
-1/252, 1
What is r in -2*r**4/5 + 15*r**3 - 21*r**2 - 22*r + 72/5 = 0?
-1, 1/2, 2, 36
Factor 3*z**3/2 - 447*z**2/2 + 8436*z - 8214.
3*(z - 74)**2*(z - 1)/2
Determine v so that v**2/3 - 16/3 = 0.
-4, 4
What is z in -2*z**5 + 42*z**4 + 614*z**3 + 2718*z**2 + 5076*z + 3456 = 0?
-3, -2, 32
Solve -4*v**4 - 48*v**3 - 108*v**2 + 160*v = 0.
-8, -5, 0, 1
Find g such that g**4/9 + 7*g**3 + 41*g**2/3 + 61*g/9 = 0.
-61, -1, 0
What is h in -2*h**4 - 68*h**3 - 642*h**2 - 1088*h - 512 = 0?
-16, -1
Determine c so that 35*c**3 + 340*c**2 + 215*c - 90 = 0.
-9, -1, 2/7
Find v such that 80*v**2 + 355*v + 140 = 0.
-4, -7/16
Suppose -2*x**2/11 + 3044*x/11 = 0. What is x?
0, 1522
Suppose -2*b**4/3 - 26*b**3/3 - 112*b**2/3 - 184*b/3 - 32 = 0. Calculate b.
-6, -4, -2, -1
Let 14*m**3 + 738*m**2 + 1216*m - 408 = 0. What is m?
-51, -2, 2/7
Factor 5*f**2 + 16090*f + 12944405.
5*(f + 1609)**2
Factor 2*j**4 - 6*j**3 - 36*j**2.
2*j**2*(j - 6)*(j + 3)
Find v, given that -2*v**2/3 - 6*v - 28/3 = 0.
-7, -2
Solve -2*q**2 + 108*q - 106 = 0 for q.
1, 53
Determine v, given that 5*v**4 + 36*v**3 - 143*v**2 - 30*v = 0.
-10, -1/5, 0, 3
Let 2*d**2/9 - 2*d - 8 = 0. What is d?
-3, 12
Factor -2*b**4/7 + 2*b**3 - 30*b**2/7 + 26*b/7 - 8/7.
-2*(b - 4)*(b - 1)**3/7
Suppose b**3/4 + 19*b**2/4 + 30*b + 63 = 0. Calculate b.
-7, -6
Let 2*b**3/3 - 32*b**2 - 410*b/3 - 104 = 0. Calculate b.
-3, -1, 52
Factor -3*q**3 + 28*q**2 - 77*q + 60.
-(q - 5)*(q - 3)*(3*q - 4)
Factor r**2 + 12*r + 32.
(r + 4)*(r + 8)
Let u**5/3 - 1972*u**4/3 + 970222*u**3/3 + 648788*u**2 + 324723*u = 0. Calculate u.
-1, 0, 987
Let -3*i**2/4 - 5805*i/2 - 11232675/4 = 0. What is i?
-1935
Factor 5*y**5 - 4945*y**4 + 1633485*y**3 - 181303675*y**2 + 356112890*y.
5*y*(y - 329)**3*(y - 2)
Factor k**5/5 + 6*k**4/5 + 13*k**3/5 + 12*k**2/5 + 4*k/5.
k*(k + 1)**2*(k + 2)**2/5
Solve -2*u**2 + 14*u - 12 = 0 for u.
1, 6
Determine f so that -2*f**3 + 18*f**2 - 16*f = 0.
0, 1, 8
Factor 4*k**4 - 48*k**3 + 168*k**2 - 80*k - 300.
4*(k - 5)**2*(k - 3)*(k + 1)
Find a such that 8*a**5 - 1820*a**4 + 106636*a**3 - 353920*a**2 + 150528*a = 0.
0, 1/2, 3, 112
What is t in 4*t**2 - 1056*t + 69696 = 0?
132
Factor -729*h**5/4 + 243*h**4/2 + 1026*h**3 + 20*h**2 - 1700*h - 1000.
-(h - 2)**2*(9*h + 10)**3/4
Factor 2*a**2/5 + 54*a/5 + 352/5.
2*(a + 11)*(a + 16)/5
Determine c so that 3*c**4/5 - 126*c**3/5 + 297*c**2/5 + 2106*c/5 = 0.
-3, 0, 6, 39
Suppose v**5 - v**4 - 73*v**3 - 179*v**2 + 72*v + 180 = 0. What is v?
-6, -3, -1, 1, 10
Solve -4*q**3 + 116*q**2 - 776*q + 1120 = 0 for q.
2, 7, 20
Factor -50*d**3 + 40*d**2 - 8*d.
-2*d*(5*d - 2)**2
Factor 4*v**2/3 - 280*v/3.
4*v*(v - 70)/3
Let 4*m**5/9 + 44*m**4/9 + 184*m**3/9 + 40*m**2 + 36*m + 12 = 0. Calculate m.
-3, -1
Let 224*u**3 + 400*u**2 + 222*u + 36 = 0. Calculate u.
-3/4, -2/7
Let -147*x**5 + 2436*x**4 - 10911*x**3 + 13002*x**2 - 4980*x + 600 = 0. Calculate x.
2/7, 1, 5, 10
Determine k so that 2*k**2 - 52*k = 0.
0, 26
Determine r so that -r**2 + 308*r + 309 = 0.
-1, 309
Let g**5/6 + 17*g**4/6 + 17*g**3 + 116*g**2/3 + 16*g/3 - 64 = 0. What is g?
-6, -4, 1
Solve 2*f**2/3 + 68*f/3 + 506/3 = 0.
-23, -11
Suppose 3*a**3/2 + 3*a**2 = 0. What is a?
-2, 0
Let -2*s**4/9 - 164*s**3/9 - 450*s**2 - 3024*s - 2592 = 0. What is s?
-36, -9, -1
Factor -3*y**4/7 + 12*y**3/7 + 54*y**2/7 + 60*y/7 + 3.
-3*(y - 7)*(y + 1)**3/7
Determine g so that -5*g**2 + 100*g + 105 = 0.
-1, 21
Suppose 2*g**2/5 + 348*g/5 + 15138/5 = 0. Calculate g.
-87
Factor 2*y**2/3 - 240*y - 722/3.
2*(y - 361)*(y + 1)/3
Factor 4*k**2 + 456*k.
4*k*(k + 114)
Factor -6*w**2/11 - 474*w/11 - 468/11.
-6*(w + 1)*(w + 78)/11
Let -3*f**5/7 + 45*f**4/7 + 6*f**3/7 - 90*f**2/7 - 3*f/7 + 45/7 = 0. Calculate f.
-1, 1, 15
Factor -3*j**5 + 1071*j**4 - 3195*j**3 + 3189*j**2 - 1062*j.
-3*j*(j - 354)*(j - 1)**3
Factor 5*q**5/3 - 9*q**4 + 55*q**3/3 - 53*q**2/3 + 8*q - 4/3.
(q - 2)*(q - 1)**3*(5*q - 2)/3
Find l, given that 27*l**3/5 - 516*l**2/5 + 999*l/5 - 102 = 0.
1, 10/9, 17
Factor q**2 - 4.
(q - 2)*(q + 2)
Factor d**4 + 5*d**3 - 4*d**2 - 20*d.
d*(d - 2)*(d + 2)*(d + 5)
Find c such that 3*c**5/4 + 31*c**4/4 + 5*c**3/2 = 0.
-10, -1/3, 0
Factor 2*y**3/11 - 16*y**2/11 + 30*y/11.
2*y*(y - 5)*(y - 3)/11
Determine r, given that -2*r**2/5 + 1416*r/5 - 1414/5 = 0.
1, 707
Factor -2*v**3/7 + 6*v**2/7 + 50*v/7 + 6.
-2*(v - 7)*(v + 1)*(v + 3)/7
Find g, given that -g**4 + 352*g**3 - 46464*g**2 + 2725888*g - 59969536 = 0.
88
Determine q, given that 4*q**3 + 164*q**2 + 464*q + 304 = 0.
-38, -2, -1
Determine f 