*r*(r + 77)**2
Let 2*g**5/21 + 26*g**4/21 + 6*g**3 + 286*g**2/21 + 304*g/21 + 40/7 = 0. Calculate g.
-5, -3, -2, -1
Factor -2*z**3/5 + 64*z**2/5 - 46*z + 168/5.
-2*(z - 28)*(z - 3)*(z - 1)/5
What is n in 5*n**3/4 - 5*n**2/2 + 5*n/4 = 0?
0, 1
Factor 3*i**5/7 - 9*i**4/7 - 174*i**3 + 2562*i**2 - 13671*i + 25725.
3*(i - 7)**4*(i + 25)/7
Factor 2*p**3/9 + 22*p**2/9 - 80*p/9 + 56/9.
2*(p - 2)*(p - 1)*(p + 14)/9
Determine s, given that 4*s**4 + 36*s**3 + 80*s**2 = 0.
-5, -4, 0
Find o such that -o**2/7 + 8*o/7 + 65/7 = 0.
-5, 13
Suppose z**5/3 + 5*z**4 + 22*z**3 + 28*z**2/3 - 104*z - 96 = 0. What is z?
-6, -4, -1, 2
What is o in -o**4 + 6*o**3 + 787*o**2 + 6060*o - 15300 = 0?
-15, 2, 34
Find b such that 2*b**3/11 + 262*b**2/11 + 518*b/11 + 258/11 = 0.
-129, -1
Factor 3*u**4/5 - 6*u**3/5 - 21*u**2/5 - 12*u/5.
3*u*(u - 4)*(u + 1)**2/5
Suppose -l**4/7 + 10*l**3/7 - 23*l**2/7 + 2*l = 0. Calculate l.
0, 1, 2, 7
Factor 2*j**4 + 152*j**3 + 2886*j**2 + 17424*j + 14688.
2*(j + 1)*(j + 12)**2*(j + 51)
Factor 108*t**4 + 216*t**3 - 297*t**2 + 79*t - 6.
(t + 3)*(3*t - 2)*(6*t - 1)**2
Let -2*w**3/11 + 12*w**2/11 + 74*w/11 + 60/11 = 0. What is w?
-3, -1, 10
Find v, given that -4*v**3 + 460*v**2 + 2384*v + 1920 = 0.
-4, -1, 120
Find r such that r**2/2 + 246*r + 30258 = 0.
-246
Factor 4*r**3 - 56*r**2 - 272*r - 288.
4*(r - 18)*(r + 2)**2
Let -2*s**2/9 + 6916*s/3 - 5978882 = 0. What is s?
5187
Solve 3*t**4 + 4320*t**3 + 1572384*t**2 + 12372480*t + 24607488 = 0 for t.
-716, -4
Factor -2*f**3 - 18*f**2 + 20*f.
-2*f*(f - 1)*(f + 10)
Factor -6*t**3/5 - 246*t**2/5 - 132*t + 912/5.
-6*(t - 1)*(t + 4)*(t + 38)/5
Suppose -2*s**5/3 + 20*s**4/3 - 38*s**3/3 - 52*s**2/3 + 184*s/3 - 112/3 = 0. What is s?
-2, 1, 2, 7
Let 5*q**2 - 7640*q + 2918480 = 0. What is q?
764
Let 38*o**4 + 37*o**3 - o**2 = 0. What is o?
-1, 0, 1/38
Factor 5*u**5 + 50*u**4 - 115*u**3 + 60*u**2.
5*u**2*(u - 1)**2*(u + 12)
Suppose 2*c**4/3 - 8*c**3/3 - 2*c**2/3 + 8*c/3 = 0. Calculate c.
-1, 0, 1, 4
Solve -2*w**3/9 - 1282*w**2/9 + 428*w/3 = 0 for w.
-642, 0, 1
Suppose -2*z**3/13 - 346*z**2/13 - 684*z/13 = 0. Calculate z.
-171, -2, 0
Factor 5*g**2 + 55*g + 90.
5*(g + 2)*(g + 9)
Determine p, given that 3*p**2/5 + 168*p/5 + 2352/5 = 0.
-28
Factor z**4 + 13*z**3 + 30*z**2 - 4*z - 40.
(z - 1)*(z + 2)**2*(z + 10)
Factor l**5/3 - 2*l**4 - l**3/3 + 2*l**2.
l**2*(l - 6)*(l - 1)*(l + 1)/3
Determine r, given that 6*r**3/5 - 3*r**2/5 - 9*r + 54/5 = 0.
-3, 3/2, 2
Factor 2*l**3 - 382*l**2 + 18430*l - 18050.
2*(l - 95)**2*(l - 1)
Find v such that -5*v**2 + 4540*v - 1030580 = 0.
454
Factor -u**3/3 - 728*u**2 - 529984*u - 385828352/3.
-(u + 728)**3/3
What is v in 27*v**5 + 2529*v**4 + 67854*v**3 + 393858*v**2 + 240327*v + 38829 = 0?
-43, -7, -1/3
Factor -t**4/7 - t**3 - 6*t**2/7 + 32*t/7 + 32/7.
-(t - 2)*(t + 1)*(t + 4)**2/7
Let -b**4 - 295*b**3 + 296*b**2 = 0. What is b?
-296, 0, 1
Factor -4*p**2/3 + 64*p/3 - 52.
-4*(p - 13)*(p - 3)/3
Factor 3*n**3 - 1383*n**2 + 158697*n + 160083.
3*(n - 231)**2*(n + 1)
What is q in -3*q**2 - 30*q - 48 = 0?
-8, -2
Find n, given that 54*n**4/5 - 216*n**3/5 + 36*n**2 + 40*n - 50 = 0.
-1, 5/3
Suppose 2*w**2/5 - 42*w/5 - 92/5 = 0. Calculate w.
-2, 23
What is n in 3*n**4 - 126*n**3 + 465*n**2 - 342*n = 0?
0, 1, 3, 38
Suppose 2*y**5/3 + 6*y**4 + 10*y**3/3 - 50*y**2/3 - 4*y + 32/3 = 0. Calculate y.
-8, -2, -1, 1
Factor -m**2 + 1774*m - 786769.
-(m - 887)**2
Let -34*m**3/9 + 10*m**2/3 + 8*m + 8/9 = 0. What is m?
-1, -2/17, 2
Factor -i**5/6 + 665*i**4/6 + 667*i**3/2 + 2003*i**2/6 + 334*i/3.
-i*(i - 668)*(i + 1)**3/6
Find w, given that -w**4/5 - w**3 + 6*w**2/5 = 0.
-6, 0, 1
Factor p**2/4 + 7*p/2 + 33/4.
(p + 3)*(p + 11)/4
Find m, given that -m**4/5 - 3*m**3 - 9*m**2/5 + 67*m/5 - 42/5 = 0.
-14, -3, 1
Factor -2*x**3 - 18*x**2 - 40*x.
-2*x*(x + 4)*(x + 5)
Let 5*h**2 - 570*h + 16245 = 0. What is h?
57
Solve 1587*b**3 + 63204*b**2 - 11028*b + 480 = 0.
-40, 2/23
Factor 4*f**4 + 108*f**3 + 808*f**2 + 2304*f + 2176.
4*(f + 2)*(f + 4)**2*(f + 17)
What is t in -400*t**4 + 2120*t**3 + 5655*t**2 - 11385*t + 4590 = 0?
-3, 3/4, 34/5
Suppose 3*p**5 - 72*p**4 + 393*p**3 + 468*p**2 = 0. What is p?
-1, 0, 12, 13
Determine a so that -28*a**4 - 148*a**3 + 128*a**2 + 48*a = 0.
-6, -2/7, 0, 1
What is j in 3*j**3/2 - 15*j**2/2 - 12*j + 18 = 0?
-2, 1, 6
Determine g so that 6*g**2/17 - 32*g/17 + 26/17 = 0.
1, 13/3
Suppose -2*a**3/13 - 186*a**2/13 - 5766*a/13 - 59582/13 = 0. What is a?
-31
Determine p so that -2*p**5/15 + 8*p**4/15 + 18*p**3/5 + 76*p**2/15 + 32*p/15 = 0.
-2, -1, 0, 8
Let 2*w**5/3 - 166*w**4/3 - 288*w**3 - 1400*w**2/3 - 704*w/3 = 0. Calculate w.
-2, -1, 0, 88
Let 2*d**2 + 156*d + 304 = 0. What is d?
-76, -2
Factor 3*k**4/4 + 39*k**3/4 + 171*k**2/4 + 285*k/4 + 75/2.
3*(k + 1)*(k + 2)*(k + 5)**2/4
Factor m**3/2 + 69*m**2 - 141*m/2 - 139.
(m - 2)*(m + 1)*(m + 139)/2
Suppose l**3/3 + l**2 - 10*l/3 = 0. What is l?
-5, 0, 2
Factor 32*i**2/7 - 2032*i/7 + 32258/7.
2*(4*i - 127)**2/7
What is w in -2*w**3/5 + 8*w**2 - 206*w/5 + 168/5 = 0?
1, 7, 12
Let 14*r**4/3 + 48*r**3 + 2494*r**2/21 - 48*r - 864/7 = 0. What is r?
-36/7, -1, 1
Factor 42*f**3 + 417*f**2 + 1020*f - 75.
3*(f + 5)**2*(14*f - 1)
Find q such that -2*q**5/9 + 16*q**4/9 - 44*q**3/9 + 16*q**2/3 - 2*q = 0.
0, 1, 3
Determine w, given that 4*w**5/7 - 116*w**4/7 + 220*w**3/7 - 108*w**2/7 = 0.
0, 1, 27
Determine z, given that -z**3/12 - 2*z**2/3 - 13*z/12 - 1/2 = 0.
-6, -1
Let 3*x**4 - 339*x**3 + 321*x**2 + 1671*x + 1008 = 0. Calculate x.
-1, 3, 112
Let 2*x**4 - 18*x**3 - 210*x**2 + 2842*x - 8232 = 0. Calculate x.
-12, 7
Solve -13*l**3/4 - 11*l**2/4 + 20*l - 3 = 0.
-3, 2/13, 2
Solve -4*s**3 - 64*s**2 + 140*s - 72 = 0.
-18, 1
What is u in 2*u**3 + 146*u**2 + 3286*u + 21142 = 0?
-31, -11
Factor -3*c**2/7 + 33*c/7 + 36/7.
-3*(c - 12)*(c + 1)/7
Factor b**3/4 + 69*b**2/2 + 1440*b + 16200.
(b + 18)*(b + 60)**2/4
Factor -x**5 + 5*x**4 - 8*x**3 + 4*x**2.
-x**2*(x - 2)**2*(x - 1)
Determine o so that -3*o**3 + 6*o**2 - 3*o = 0.
0, 1
Factor p**2 - 33*p.
p*(p - 33)
Suppose -z**3/7 - 13*z**2/7 + 73*z/7 + 85/7 = 0. What is z?
-17, -1, 5
Let -z**4/7 - 29*z**3/7 - 247*z**2/7 - 93*z - 432/7 = 0. What is z?
-16, -9, -3, -1
Factor -21*a**3 + 3186*a**2 + 14016*a + 3744.
-3*(a - 156)*(a + 4)*(7*a + 2)
Factor -3*h**3 - 24*h**2 - 15*h + 150.
-3*(h - 2)*(h + 5)**2
What is b in -4*b**3 - 600*b**2 + 13200*b - 68000 = 0?
-170, 10
Factor -4*u**4 + 1788*u**3 - 198912*u**2 - 200704*u.
-4*u*(u - 224)**2*(u + 1)
Solve 2*g**2/3 - 2*g/3 - 112/3 = 0 for g.
-7, 8
Factor -2*y**2 - 388*y - 18818.
-2*(y + 97)**2
Solve 3*b**5 + 90*b**4 + 252*b**3 + 246*b**2 + 81*b = 0 for b.
-27, -1, 0
Factor 2*q**3/9 - 2*q**2/9 - 4*q/9.
2*q*(q - 2)*(q + 1)/9
Factor f**3 + 36*f**2 - 37*f.
f*(f - 1)*(f + 37)
Factor -q**4 + 5*q**3 - 8*q**2 + 4*q.
-q*(q - 2)**2*(q - 1)
Determine j so that j**3 - 4*j**2 + 5*j - 2 = 0.
1, 2
Let 5*u**3/4 - 55*u**2 - 455*u/4 - 115/2 = 0. Calculate u.
-1, 46
Factor 2*d**3 + 58*d**2 + 448*d + 392.
2*(d + 1)*(d + 14)**2
Factor -2*a**2/11 - 26*a/11 + 28/11.
-2*(a - 1)*(a + 14)/11
Factor -5*a**3 + 1685*a**2 - 6680*a + 6660.
-5*(a - 333)*(a - 2)**2
Factor -2*s**2/9 + 82*s/9 - 80/9.
-2*(s - 40)*(s - 1)/9
Factor -4*u**3 - 8*u**2 + 156*u - 288.
-4*(u - 3)**2*(u + 8)
Suppose -5*r**5 - 35*r**4 = 0. Calculate r.
-7, 0
Find q, given that -q**2/2 - 200*q - 20000 = 0.
-200
Solve 4*r**5 + 4148*r**4 + 1077436*r**3 + 1069148*r**2 - 1077440*r - 1073296 = 0 for r.
-518, -1, 1
Factor -k**4/3 - 5*k**3 + 17*k**2/3 + 5*k - 16/3.
-(k - 1)**2*(k + 1)*(k + 16)/3
Factor -5*b**2 + 2800*b - 392000.
-5*(b - 280)**2
Determine v so that -25*v**3 + 90*v**2 + 1540*v + 600 = 0.
-6, -2/5, 10
Factor r**5/7 - 2*r**4 + 24*r**3/7.
r**3*(r - 12)*(r - 2)/7
Determine z, given that 28*z**3 + 36*z**2 - 160*z - 48 = 0.
-3, -2/7, 2
Solve 14*m**2/13 + 348*m/13 - 50/13 = 0 for m.
-25, 1/7
Factor 20*c**3 - 288*c**2 + 912*c - 320.
4*(c - 10)*(c - 4)*(5*c - 2)
Let -h**3 - 213*h**2 + 2664*h - 8100 = 0. Calculate h.
-225, 6
Factor 154*y**3 + 258*y**2 + 80*y - 24.
2*(y + 1)*(7*y + 6)*(11*y - 2)
Factor -2*i**2/11 + 1334*i/11 - 1332/11.
-2*(i - 666)*(i - 1)/11
Factor 5*l**2 - 14760*l + 10892880.
5*(l - 1476)**2
Suppose z**5/2 + 11*z**4 + 67*z**3 + 166*z**2 + 345*z/2 + 63 = 0. What is z?
-14, -3, -1
Solve 3*l**3/5 - 6*l**2/5 + 3*l/5 = 0 for l.
0, 1
So