*3 + 23*g**2 - 24*g - 16.
(g - 1)*(g + 4)**2*(2*g + 1)
Let -2*m**5/3 - 22*m**4 - 192*m**3 - 512*m**2/3 = 0. What is m?
-16, -1, 0
Factor 78*j**3/5 - 153*j**2/5 - 6*j/5.
3*j*(j - 2)*(26*j + 1)/5
Suppose 2*y**2 - 282*y - 864 = 0. Calculate y.
-3, 144
Determine a so that -3*a**3/5 - 49*a**2/5 + 7*a + 17/5 = 0.
-17, -1/3, 1
Determine r so that 2*r**3/15 + 814*r**2/15 = 0.
-407, 0
Let 3*n**5/2 - 33*n**4/4 - 9*n**3 + 111*n**2/4 - 3*n - 9 = 0. Calculate n.
-2, -1/2, 1, 6
Let 4*p**5 - 64*p**4 - 72*p**3 + 64*p**2 + 68*p = 0. What is p?
-1, 0, 1, 17
Factor -4*l**2/5 + 48*l/5 + 52/5.
-4*(l - 13)*(l + 1)/5
Factor -4*c**3/3 + 12*c**2 - 8*c - 64/3.
-4*(c - 8)*(c - 2)*(c + 1)/3
Let 20*c**5/3 + 455*c**4/3 + 1150*c**3/3 + 1015*c**2/3 + 100*c = 0. Calculate c.
-20, -1, -3/4, 0
Determine k so that -2*k**4/11 - 56*k**3/11 - 524*k**2/11 - 168*k - 198 = 0.
-11, -3
Factor -5*m**4 - 150*m**3 - 1120*m**2 + 150*m + 1125.
-5*(m - 1)*(m + 1)*(m + 15)**2
Solve -x**3/8 + 21*x**2/8 - 55*x/4 = 0.
0, 10, 11
Determine k, given that -16*k**4 - 356*k**3 - 2648*k**2 - 6784*k - 1536 = 0.
-8, -6, -1/4
Determine h, given that -2*h**2/9 - 176*h/9 - 3872/9 = 0.
-44
Determine d so that -d**3/5 + 11*d**2/5 + 26*d/5 = 0.
-2, 0, 13
Factor -4*l**2 - 76*l - 312.
-4*(l + 6)*(l + 13)
Let -45*f**4 - 316*f**3 + 1793*f**2 - 1940*f - 44 = 0. Calculate f.
-11, -1/45, 2
Determine z, given that -10*z**3/13 - 8*z**2/13 + 22*z/13 - 4/13 = 0.
-2, 1/5, 1
Factor -5*b**4 - 100*b**3 + 20*b**2 + 400*b.
-5*b*(b - 2)*(b + 2)*(b + 20)
Factor -3*k**5 - 12*k**4 - 12*k**3.
-3*k**3*(k + 2)**2
Suppose 84*v**2 + 153*v + 33 = 0. What is v?
-11/7, -1/4
Solve 2*w**3/9 - 104*w**2/3 + 200*w/3 + 2464/9 = 0.
-2, 4, 154
Factor y**4 + 203*y**3 - 615*y**2 + 617*y - 206.
(y - 1)**3*(y + 206)
Factor -8*r**3/11 + 590*r**2/11 + 148*r/11.
-2*r*(r - 74)*(4*r + 1)/11
Factor 5*v**4 + 215*v**3 - 225*v**2 - 215*v + 220.
5*(v - 1)**2*(v + 1)*(v + 44)
Factor -2*i**2/5 + 364*i/5 - 16562/5.
-2*(i - 91)**2/5
Solve 2*d**4/5 + 48*d**3/5 - 102*d**2/5 + 52*d/5 = 0.
-26, 0, 1
Suppose 2*u**2/7 + 110*u + 2292/7 = 0. Calculate u.
-382, -3
Factor -4*y**3 + 48*y**2 - 176*y + 192.
-4*(y - 6)*(y - 4)*(y - 2)
Find t, given that -2*t**5/13 - 4*t**4/13 + 6*t**3/13 = 0.
-3, 0, 1
Let -j**2 - 148*j + 765 = 0. Calculate j.
-153, 5
Solve 2*f**5/11 - 8*f**4/11 - 12*f**3/11 + 8*f**2/11 + 10*f/11 = 0.
-1, 0, 1, 5
Find c, given that 4*c**3 - 136*c**2 + 496*c - 480 = 0.
2, 30
Let 74*u**5 + 366*u**4 + 572*u**3 + 264*u**2 - 16*u = 0. What is u?
-2, -1, 0, 2/37
Factor 3*z**2 + 633*z - 1278.
3*(z - 2)*(z + 213)
Factor x**2 - 184*x + 183.
(x - 183)*(x - 1)
Determine u so that -4*u**4/15 - 42*u**3/5 - 58*u**2/15 + 42*u/5 + 62/15 = 0.
-31, -1, -1/2, 1
Let 16*y**5 - 62*y**4 + 56*y**3 + 8*y**2 = 0. What is y?
-1/8, 0, 2
Factor 3*j**3/5 - 69*j**2/5 + 129*j/5 - 63/5.
3*(j - 21)*(j - 1)**2/5
Determine t, given that t**4/8 + 25*t**3/4 - 159*t**2/2 + 1055*t/4 - 1525/8 = 0.
-61, 1, 5
Factor 3*d**3 + 87*d**2 + 585*d - 675.
3*(d - 1)*(d + 15)**2
Solve -5*y**4 - 395*y**3 - 3225*y**2 - 5125*y + 8750 = 0 for y.
-70, -5, 1
Let -3*c**3 - 129*c**2 - 681*c - 555 = 0. What is c?
-37, -5, -1
Suppose -2*h**5/5 - 8*h**4/5 + 72*h**3/5 + 352*h**2/5 - 128*h/5 - 1536/5 = 0. What is h?
-4, 2, 6
Solve 13*w**5/3 + 2*w**4/3 - 208*w**3/3 - 32*w**2/3 = 0.
-4, -2/13, 0, 4
Factor 5*l**2 - 10*l.
5*l*(l - 2)
Suppose 2*s**5/5 + 16*s**4 + 426*s**3/5 + 612*s**2/5 = 0. What is s?
-34, -3, 0
Factor -4*q**4 + 24*q**3 - 52*q**2 + 48*q - 16.
-4*(q - 2)**2*(q - 1)**2
Determine p, given that 2*p**5/5 + 12*p**4/5 - 214*p**3/5 - 1632*p**2/5 - 1408*p/5 = 0.
-8, -1, 0, 11
Factor 3*n**4 - 33*n**3 + 99*n**2 - 111*n + 42.
3*(n - 7)*(n - 2)*(n - 1)**2
What is n in n**2/2 - 1319*n + 1739761/2 = 0?
1319
Factor 3*x**2 - 2766*x + 2763.
3*(x - 921)*(x - 1)
Find h such that -h**3/3 + 140*h**2/3 - 4900*h/3 = 0.
0, 70
Suppose 2*l**4/13 + 80*l**3/13 - 254*l**2/13 + 172*l/13 = 0. What is l?
-43, 0, 1, 2
Factor -5*p**3 + 120*p**2 - 420*p + 400.
-5*(p - 20)*(p - 2)**2
Suppose 5*a**3 - 90*a**2 + 360*a = 0. What is a?
0, 6, 12
Factor -m**3 + 1025*m**2/2 - 65278*m - 198147/2.
-(m - 257)**2*(2*m + 3)/2
Find q such that -5*q**4/4 - 5*q**3/2 + 15*q**2/4 = 0.
-3, 0, 1
Let -735*i**5/4 - 1085*i**4/2 - 1555*i**3/4 - 80*i**2 - 5*i = 0. What is i?
-2, -2/3, -1/7, 0
Solve -4*w**5 - 52*w**4 + 12*w**3 + 164*w**2 + 104*w = 0.
-13, -1, 0, 2
Factor 49298*i**3/7 + 54322*i**2/7 + 736*i + 128/7.
2*(i + 1)*(157*i + 8)**2/7
Factor 3*u**2 - 33*u + 54.
3*(u - 9)*(u - 2)
What is x in 16*x**2 + 196*x + 48 = 0?
-12, -1/4
Suppose -o**5/3 - o**4/3 + 4*o**3 - 4*o**2/3 - 16*o/3 = 0. Calculate o.
-4, -1, 0, 2
Factor -4*u**3/5 - 12*u**2/5.
-4*u**2*(u + 3)/5
Suppose 4*x**3 - 13264*x**2 + 10995856*x = 0. Calculate x.
0, 1658
Solve 3*z**4 - 154*z**3 + 343*z**2 + 4*z - 196 = 0 for z.
-2/3, 1, 2, 49
Solve -30*f**5 - 33*f**4 + 153*f**3 - 69*f**2 - 39*f + 18 = 0 for f.
-3, -1/2, 2/5, 1
Factor 2*b**5/3 - 2*b**3/3.
2*b**3*(b - 1)*(b + 1)/3
Suppose 7*l**4 + 16*l**3 + 4*l**2 = 0. Calculate l.
-2, -2/7, 0
Find a, given that 4*a**2/3 + 920*a/3 + 52900/3 = 0.
-115
Factor 4*b**3/3 - 472*b**2/3 + 5132*b/3 - 4664/3.
4*(b - 106)*(b - 11)*(b - 1)/3
Determine w, given that 36*w**2 - 1156*w + 1240 = 0.
10/9, 31
Factor -2*b**3 + 97*b**2 - 47*b - 48.
-(b - 48)*(b - 1)*(2*b + 1)
Find o, given that -2*o**4 + 13176*o**3 - 32551308*o**2 + 35741336184*o - 14716495173762 = 0.
1647
Factor 2240*k**4/11 + 1088*k**3/11 + 124*k**2/11 - 2*k/11.
2*k*(4*k + 1)**2*(70*k - 1)/11
Let 3*y**4 - 15*y**3 + 21*y**2 - 9*y = 0. What is y?
0, 1, 3
Factor -2*h**3 + 468*h**2 + 2*h - 468.
-2*(h - 234)*(h - 1)*(h + 1)
Determine w, given that -2*w**3/3 - 14*w**2 + 92*w/3 = 0.
-23, 0, 2
Let p**2/2 - 10*p + 19/2 = 0. Calculate p.
1, 19
Factor -3*m**3 - 885*m**2 + 888*m.
-3*m*(m - 1)*(m + 296)
Factor -h**3/4 - 89*h**2/4 + 45*h/2.
-h*(h - 1)*(h + 90)/4
Let -3*c**3/7 + 471*c**2/7 - 2745*c/7 + 4077/7 = 0. Calculate c.
3, 151
Solve -4*u**3 + 82*u**2 - 2065*u/4 + 3675/4 = 0 for u.
3, 35/4
Let -10*n**5/3 + 86*n**4/3 - 34*n**3/3 - 118*n**2/3 + 44*n/3 + 32/3 = 0. Calculate n.
-1, -2/5, 1, 8
Suppose c**3 - 6*c**2 - 4*c + 24 = 0. What is c?
-2, 2, 6
Solve -4*a**4 + 1192*a**3 - 7044*a**2 + 10512*a = 0 for a.
0, 3, 292
Suppose 2*i**2/17 - 54*i/17 = 0. Calculate i.
0, 27
Find m such that 4*m**4 - 52*m**2 - 48*m = 0.
-3, -1, 0, 4
Let 3*m**2/5 + 3243*m/5 + 6474/5 = 0. What is m?
-1079, -2
Determine n, given that n**4/2 + 35*n**3/2 - 7*n**2/2 - 239*n/2 + 105 = 0.
-35, -3, 1, 2
Let -30*g**3 - 25*g**2 + 40*g + 35 = 0. What is g?
-1, 7/6
Factor -3*q**3 - 1962*q**2 - 320787*q.
-3*q*(q + 327)**2
Determine f so that 4*f**5 - 44*f**4 + 88*f**3 + 112*f**2 - 416*f + 256 = 0.
-2, 1, 2, 8
Find r such that 3*r**2/5 + 18*r - 192/5 = 0.
-32, 2
Factor 4*f**3 - 32*f**2 + 48*f.
4*f*(f - 6)*(f - 2)
Factor -2*t**4 + 96*t**3 + 206*t**2 - 300*t.
-2*t*(t - 50)*(t - 1)*(t + 3)
Find s such that 9*s**4 + 33*s**3 - 57*s**2 + 15*s = 0.
-5, 0, 1/3, 1
Factor -36*a**3 + 164*a**2 - 240*a + 112.
-4*(a - 2)*(a - 1)*(9*a - 14)
Let -h**4/12 - 43*h**3/3 - 587*h**2 + 7568*h/3 - 7744/3 = 0. What is h?
-88, 2
Factor 3*l**3/4 - 3*l**2 + 3*l/4 + 9/2.
3*(l - 3)*(l - 2)*(l + 1)/4
Factor -z**5 - 9*z**4 - 31*z**3 - 51*z**2 - 40*z - 12.
-(z + 1)**2*(z + 2)**2*(z + 3)
Let -3*q**3/2 + 18*q**2 - 72*q + 96 = 0. Calculate q.
4
Factor 3*o**2/4 - 1401*o + 654267.
3*(o - 934)**2/4
Find w such that -2*w**5 - 16*w**4 + 142*w**3 - 340*w**2 + 328*w - 112 = 0.
-14, 1, 2
Factor 4*i**3 - 420*i**2 + 9900*i + 60500.
4*(i - 55)**2*(i + 5)
Factor 3*d**2 + 1128*d/5 + 45.
3*(d + 75)*(5*d + 1)/5
Solve 2*b**4/3 + 4*b**3/3 - 10*b**2/3 - 4*b = 0.
-3, -1, 0, 2
Solve -2*h**4 + 6*h**3 + 64*h**2 + 120*h + 64 = 0.
-2, -1, 8
Solve 5*r**4 - 5*r**3 - 45*r**2 - 55*r - 20 = 0.
-1, 4
Solve 84*s**2 + 1184*s + 112 = 0 for s.
-14, -2/21
Suppose 3*t**2/2 - 12*t - 99/2 = 0. Calculate t.
-3, 11
Determine z, given that z**4/4 + z**3 + 3*z**2/4 = 0.
-3, -1, 0
Factor g**2/2 - 303*g + 91809/2.
(g - 303)**2/2
Suppose -3*o**2 - 1050*o - 3123 = 0. What is o?
-347, -3
Solve -r**5 - 130*r**4 - 128*r**3 + 130*r**2 + 129*r = 0 for r.
-129, -1, 0, 1
Find y, given that -5*y**3 + 20*y**2 + 255*y + 450 = 0.
-3, 10
Factor -3*l**3/8 - 351*l**2/8 - 10773*l/8 - 29241/8.
-3*(l + 3)*(l + 57)**2/8
Determine c so that -8*c**5 + 30*c**4 + 152*c