e l so that l**2 + 348*l + 30276 = 0.
-174
Let -12*q**4 + 68*q**3 - 112*q**2 + 48*q = 0. Calculate q.
0, 2/3, 2, 3
What is s in 21*s**5 - 297*s**4 - 2283*s**3/7 + 5715*s**2/7 + 3000*s/7 - 4500/7 = 0?
-10/7, 1, 15
Find i, given that 4*i**5 + 119*i**4 - 554*i**3 + 803*i**2 - 440*i + 68 = 0.
-34, 1/4, 1, 2
Factor -4*n**2 + 152*n - 148.
-4*(n - 37)*(n - 1)
Determine x, given that 4*x**4 - 8*x**3 - 32*x**2 + 72*x - 36 = 0.
-3, 1, 3
Let 128*y**3/7 + 864*y**2/7 - 6270*y/7 - 6050 = 0. What is y?
-55/8, 7
Factor 500*v**4/3 - 10900*v**3/3 - 4520*v**2 - 5488*v/3 - 736/3.
4*(v - 23)*(5*v + 2)**3/3
What is i in -16*i**4 - 172*i**3 - 260*i**2 - 68*i + 36 = 0?
-9, -1, 1/4
Let 2*k**3 - 112*k**2 - 350*k - 236 = 0. What is k?
-2, -1, 59
What is r in 4*r**5/3 + 16*r**4 + 64*r**3 + 328*r**2/3 + 84*r + 24 = 0?
-6, -3, -1
Determine k so that k**2/4 + 4*k + 16 = 0.
-8
Factor -5*r**2 + 355*r - 350.
-5*(r - 70)*(r - 1)
Find h such that -100*h**3 - 608*h**2 - 48*h = 0.
-6, -2/25, 0
Factor -4*b**3 - 8*b**2 + 20*b + 24.
-4*(b - 2)*(b + 1)*(b + 3)
Factor 729*z**4 - 2079*z**3 + 1138*z**2 + 204*z + 8.
(z - 2)*(z - 1)*(27*z + 2)**2
Factor 3*v**3/2 + 138*v**2.
3*v**2*(v + 92)/2
Factor 5*s**3 - 11*s**2 + 6*s.
s*(s - 1)*(5*s - 6)
Solve b**5/2 - 7*b**4 - 23*b**3/2 + 404*b**2 - 160*b - 6400 = 0 for b.
-5, 8
Let 2*s**2/9 + 1480*s/9 + 273800/9 = 0. Calculate s.
-370
Factor -5*m**2/3 + 95*m/3 + 70.
-5*(m - 21)*(m + 2)/3
Factor 3*i**4 - 9*i**3 + 9*i**2 - 3*i.
3*i*(i - 1)**3
Solve -5*n**2 + 5*n + 30 = 0.
-2, 3
Let -3*w**4/2 - 255*w**3 - 30459*w**2/2 - 373320*w - 3214944 = 0. Calculate w.
-61, -24
Factor 4*p**3/3 + 4*p**2 + 8*p/3.
4*p*(p + 1)*(p + 2)/3
Factor -4*b**3 + 436*b**2 - 12508*b + 33708.
-4*(b - 53)**2*(b - 3)
Find n, given that 3*n**5/5 + 12*n**4/5 - 57*n**3/5 - 138*n**2/5 - 72*n/5 = 0.
-6, -1, 0, 4
Determine a so that -a**4 - a**3 + 22*a**2 + 40*a = 0.
-4, -2, 0, 5
Suppose o**3 - 259*o**2 - 521*o - 261 = 0. What is o?
-1, 261
Factor -3*r**3 - 960*r**2 - 75831*r + 155526.
-3*(r - 2)*(r + 161)**2
Factor -2*f**3/23 - 108*f**2/23 - 376*f/23 + 1200/23.
-2*(f - 2)*(f + 6)*(f + 50)/23
Factor 2*m**3/13 - 4*m**2/13 - 160*m/13.
2*m*(m - 10)*(m + 8)/13
Factor -3*r**2 + 180*r - 177.
-3*(r - 59)*(r - 1)
Determine w, given that -5*w**4 + 800*w**3 + 4920*w**2 + 9920*w + 6640 = 0.
-2, 166
Factor 12*y**3 - 224*y**2 + 348*y - 136.
4*(y - 17)*(y - 1)*(3*y - 2)
Factor b**2 + 38*b + 37.
(b + 1)*(b + 37)
Factor 3*l**3/2 + 1185*l**2/2 + 7029*l/2 + 10503/2.
3*(l + 3)**2*(l + 389)/2
Factor 4*s**2 + 332*s.
4*s*(s + 83)
Factor -3*s**3/2 - 24*s**2 - 45*s/2.
-3*s*(s + 1)*(s + 15)/2
Suppose 2*t**5/17 + 6*t**4/17 - 2*t**3/17 - 6*t**2/17 = 0. Calculate t.
-3, -1, 0, 1
Factor -2*z**2/9 + 56*z/9 + 64.
-2*(z - 36)*(z + 8)/9
Factor 5*x**3 + 15*x**2 + 15*x + 5.
5*(x + 1)**3
Factor 3*y**3 - 108*y**2 + 693*y - 588.
3*(y - 28)*(y - 7)*(y - 1)
Solve -i**2/4 + 3*i - 9 = 0 for i.
6
Factor b**2/7 - 9*b/7.
b*(b - 9)/7
Factor s**2 - 4842*s + 5861241.
(s - 2421)**2
Factor 978121*n**2/5 - 3956*n/5 + 4/5.
(989*n - 2)**2/5
Solve -12*b**4 + 19*b**3 + 22*b**2 - 19*b - 10 = 0 for b.
-1, -5/12, 1, 2
Solve q**2 + 353*q/3 - 118/3 = 0 for q.
-118, 1/3
Factor -4*o**4/9 + 40*o**3/9 - 12*o**2 + 8*o.
-4*o*(o - 6)*(o - 3)*(o - 1)/9
Find q, given that 2*q**3/17 + 8*q**2/17 + 8*q/17 = 0.
-2, 0
Suppose p**2/4 - 7*p/4 + 3 = 0. Calculate p.
3, 4
Let -2*g**3 + 18*g**2 - 52*g + 48 = 0. What is g?
2, 3, 4
Find s such that -s**3 - 36*s**2 - 405*s - 1458 = 0.
-18, -9
Find r, given that -15*r**4/2 - 113*r**3/3 - r**2/2 + 5*r/3 = 0.
-5, -2/9, 0, 1/5
Solve -4*j**2/5 + 4*j/5 = 0.
0, 1
What is s in -9*s**3 + 714*s**2 + 1209*s + 486 = 0?
-1, -2/3, 81
Let -5*s**5 - 25*s**4 - 35*s**3 + 5*s**2 + 40*s + 20 = 0. Calculate s.
-2, -1, 1
Solve 2*h**3/13 - 160*h**2/13 + 2666*h/13 + 22188/13 = 0 for h.
-6, 43
Let 12*o**2 + 321*o - 81 = 0. Calculate o.
-27, 1/4
Let 2*y**3/11 - 4*y**2/11 - 10*y/11 + 12/11 = 0. What is y?
-2, 1, 3
Suppose -3*c**4 - 249*c**3 - 5289*c**2 - 5043*c = 0. Calculate c.
-41, -1, 0
Factor 15*a**3/7 + 2*a**2 - a/7.
a*(a + 1)*(15*a - 1)/7
Suppose -27*j**4 + 681*j**3 - 1311*j**2 - 1605*j + 414 = 0. Calculate j.
-1, 2/9, 3, 23
Suppose 5*s**3 + 135*s**2 + 120*s - 260 = 0. What is s?
-26, -2, 1
Let -5*q**2 - 225*q = 0. Calculate q.
-45, 0
Suppose -x**5 - 3*x**4 + x**3 + 7*x**2 - 4 = 0. What is x?
-2, -1, 1
Determine j so that j**5/4 - 5*j**4/4 - 15*j**3/4 + 5*j**2/4 + 7*j/2 = 0.
-2, -1, 0, 1, 7
Suppose 10*o**3 + 295*o**2 + 145*o = 0. What is o?
-29, -1/2, 0
Let 4*v**5 - 36*v**4 - 884*v**3 + 36*v**2 + 880*v = 0. What is v?
-11, -1, 0, 1, 20
Find h such that -4*h**5/3 + 44*h**4/3 + 287*h**3/3 + 508*h**2/3 + 316*h/3 + 64/3 = 0.
-2, -1/2, 16
Factor 2*l**3 - 188*l**2 + 902*l - 1068.
2*(l - 89)*(l - 3)*(l - 2)
Factor 2*v**4/3 - 1388*v**3/5 + 1664*v**2/15.
2*v**2*(v - 416)*(5*v - 2)/15
Factor -3*w**3/5 + 99*w**2/5 + 42*w.
-3*w*(w - 35)*(w + 2)/5
Suppose 3*u**2/7 - 78*u/7 - 24 = 0. What is u?
-2, 28
Factor -3*d**4 + 24*d**3 - 63*d**2 + 66*d - 24.
-3*(d - 4)*(d - 2)*(d - 1)**2
Factor -2*d**4/7 + 1004*d**3/7 - 286*d**2 + 1000*d/7.
-2*d*(d - 500)*(d - 1)**2/7
Factor -2*w**3/3 - 1832*w**2/3 + 2*w/3 + 1832/3.
-2*(w - 1)*(w + 1)*(w + 916)/3
Factor 472*v**2 - 946*v + 4.
2*(v - 2)*(236*v - 1)
Solve -6*u**4 + 1102*u**3 - 55486*u**2 + 435522*u + 151380 = 0 for u.
-1/3, 10, 87
Factor -5*m**5 + 15*m**4 - 15*m**3 + 5*m**2.
-5*m**2*(m - 1)**3
Let -n**2/4 - 67*n/4 - 204 = 0. Calculate n.
-51, -16
Factor -7396*z**2 + 3440*z - 400.
-4*(43*z - 10)**2
Suppose u**3 + 21*u**2 + 39*u + 19 = 0. What is u?
-19, -1
Factor -32*a**2/7 + 76*a - 1308/7.
-4*(a - 3)*(8*a - 109)/7
Determine i so that -i**4 + 34*i**3 - 320*i**2 + 542*i - 255 = 0.
1, 15, 17
Factor -4*q**4 - 112*q**3 + 12*q**2 + 344*q + 224.
-4*(q - 2)*(q + 1)**2*(q + 28)
Factor w**4 - 53*w**3 - 224*w**2 - 228*w.
w*(w - 57)*(w + 2)**2
Factor 2*n**3/17 - 2046*n**2/17 + 4086*n/17 - 2042/17.
2*(n - 1021)*(n - 1)**2/17
Suppose -q**3 + 173*q**2/3 + 20*q - 116/3 = 0. Calculate q.
-1, 2/3, 58
Let 2*h**3/3 - 52*h**2/3 + 30*h + 48 = 0. What is h?
-1, 3, 24
Solve 32*v**4/7 - 80*v**3 + 274*v**2/7 - 34*v/7 = 0.
0, 1/4, 17
Solve 2*s**3/23 + 2292*s**2/23 + 875544*s/23 + 111485936/23 = 0.
-382
Factor -i**4/4 + 199*i**3/4 - 591*i**2/4 + 589*i/4 - 49.
-(i - 196)*(i - 1)**3/4
Factor 12*h**3 + 322*h**2 - 390*h + 56.
2*(h - 1)*(h + 28)*(6*h - 1)
Solve -n**2 + 9*n + 36 = 0 for n.
-3, 12
Let -3*c**4 - 156*c**3 - 1866*c**2 + 4212*c - 2187 = 0. Calculate c.
-27, 1
Factor 2*n**3/5 + 4*n**2/5 - 14*n/5 + 8/5.
2*(n - 1)**2*(n + 4)/5
Suppose -2*h**3/7 + 22*h**2 - 64*h + 296/7 = 0. Calculate h.
1, 2, 74
Factor -2*t**3/9 - 34*t**2/9 - 158*t/9 - 14.
-2*(t + 1)*(t + 7)*(t + 9)/9
Suppose 25*s**4 + 95*s**3 + 114*s**2 + 52*s + 8 = 0. What is s?
-2, -1, -2/5
Factor -t**4 + 5*t**3 + 3*t**2 - 45*t + 54.
-(t - 3)**2*(t - 2)*(t + 3)
Suppose -3*f**5 + 9*f**4 + 114*f**3 - 576*f**2 + 672*f = 0. Calculate f.
-7, 0, 2, 4
Factor o**2/4 - 273*o/2.
o*(o - 546)/4
Suppose -2000*v**3 - 1800*v**2 + 195*v - 5 = 0. What is v?
-1, 1/20
Find i such that -2*i**2 + 24*i/7 + 8/7 = 0.
-2/7, 2
Factor 2*s**3/5 - 422*s**2/5 - 858*s/5 + 1278/5.
2*(s - 213)*(s - 1)*(s + 3)/5
Factor -4*z**3 - 408*z**2.
-4*z**2*(z + 102)
Factor -53*z**2 + 7*z.
-z*(53*z - 7)
Find k such that -k**3/2 - 63*k**2/2 - 480*k + 512 = 0.
-32, 1
Solve -2*z**2/3 - 4*z - 10/3 = 0.
-5, -1
Factor -2*i**5 + 7*i**4 - 4*i**3 - 4*i**2.
-i**2*(i - 2)**2*(2*i + 1)
Factor 4*f**3/9 - 388*f**2/9 - 788*f/9 - 44.
4*(f - 99)*(f + 1)**2/9
Find m such that 4*m**2 + 752*m + 748 = 0.
-187, -1
Let 4*d**3 + 60*d**2 - 4*d - 60 = 0. What is d?
-15, -1, 1
Factor -f**4 + 9*f**3 - 15*f**2 + 7*f.
-f*(f - 7)*(f - 1)**2
Factor 58564*m**3 + 59532*m**2 + 972*m + 4.
4*(m + 1)*(121*m + 1)**2
Factor 9*z**4 + 33*z**3 - 72*z**2 - 60*z.
3*z*(z - 2)*(z + 5)*(3*z + 2)
Factor 2*s**3 + 278*s**2 + 796*s - 2720.
2*(s - 2)*(s + 5)*(s + 136)
Determine q so that -10*q**2 - 32*q/5 = 0.
-16/25, 0
Find i such that -10*i**3/11 - 6*i**2/11 + 24*i/11 - 8/11 = 0.
-2, 2/5, 1
Factor -k**5/3 + 2*k**4 - 13*k**3/3 + 4*k**2 - 4*k/3.
-k*(k - 2)**2*(k - 1)**2/3
What is z in 5*z**2/3 + 200*z + 595/3 = 0?
-119, -1
Factor -3*x**2 - 99*x - 186.
-3*(x + 2)*(x + 31)
Let -5*k**3 - 745*k**2 + 23800*k - 173460 = 0. What is k?
-177, 14
Suppose -3*w**2 - 381*w/5 + 234/5 = 0. What 