g + 5)**3/5
Let 4*j**4/9 + 1040*j**3/9 + 22532*j**2/3 - 1040*j/9 - 67600/9 = 0. Calculate j.
-130, -1, 1
Factor 3*r**3 - 534*r**2 - 1623*r - 1086.
3*(r - 181)*(r + 1)*(r + 2)
Solve -u**4/10 + 788*u**3/5 - 465708*u**2/5 + 122325968*u/5 - 12049107848/5 = 0 for u.
394
Determine n, given that 4*n**3 + 113*n**2 + 812*n + 196 = 0.
-14, -1/4
Find q such that 15*q**3 - 1644*q**2 - 660*q = 0.
-2/5, 0, 110
What is l in -l**4 - 74*l**3 + 151*l**2 - 76*l = 0?
-76, 0, 1
Let -15*l**4 + 264*l**3 + 393*l**2 + 114*l = 0. Calculate l.
-1, -2/5, 0, 19
Factor -3*l**4 + 6*l**3 + 105*l**2.
-3*l**2*(l - 7)*(l + 5)
Factor -4*s**2 - 472*s - 468.
-4*(s + 1)*(s + 117)
Suppose b**5/4 - 23*b**4/2 - 251*b**3/4 - 51*b**2 = 0. Calculate b.
-4, -1, 0, 51
Let 21*o**4/4 + 57*o**3/4 + 45*o**2/4 + 3*o/4 - 3/2 = 0. Calculate o.
-1, 2/7
Factor -9*n**2 - 102*n - 33.
-3*(n + 11)*(3*n + 1)
Find j, given that 2*j**2/7 - 52*j/7 - 54/7 = 0.
-1, 27
Solve -21*v**4/2 + 65*v**3/3 - 2*v**2/3 - 4*v/3 = 0.
-2/9, 0, 2/7, 2
Factor -28*n**3/3 - 100*n**2 - 232*n + 224/3.
-4*(n + 4)*(n + 7)*(7*n - 2)/3
Factor 4*g**3/3 - 5372*g**2/3 - 4*g/3 + 5372/3.
4*(g - 1343)*(g - 1)*(g + 1)/3
Factor -r**3/3 + 11*r**2/6 + 7*r/6 - 1.
-(r - 6)*(r + 1)*(2*r - 1)/6
Factor 2*j**2/11 + 52*j/11 - 112/11.
2*(j - 2)*(j + 28)/11
Factor -5*o**2 - 15*o + 50.
-5*(o - 2)*(o + 5)
Suppose -b**3/2 + 25*b**2/2 - 84*b + 72 = 0. What is b?
1, 12
Solve 5*s**5 + 115*s**4 + 495*s**3 + 845*s**2 + 640*s + 180 = 0.
-18, -2, -1
Factor 4*m**4 - 40*m**3 + 36*m**2 + 640*m - 1600.
4*(m - 5)**2*(m - 4)*(m + 4)
Factor 4*v**3 + 416*v**2 - 420*v.
4*v*(v - 1)*(v + 105)
Solve 2*j**2/9 + 4*j/9 - 2/3 = 0.
-3, 1
Factor -2*y**4 + 32*y**3 + 2*y**2 - 32*y.
-2*y*(y - 16)*(y - 1)*(y + 1)
Factor -5*q**2 - 1715*q + 1720.
-5*(q - 1)*(q + 344)
Find b such that -135*b**5 + 665*b**4 - 1030*b**3 + 460*b**2 + 40*b = 0.
-2/27, 0, 1, 2
Factor -w**2/5 - 22*w.
-w*(w + 110)/5
Determine a so that -65*a**4/4 - 1115*a**3/4 - 2685*a**2/2 - 1240*a - 160 = 0.
-8, -1, -2/13
Suppose 12*m**5 - 220*m**4 - 1223*m**3/3 + 154*m**2 - 40*m/3 = 0. Calculate m.
-2, 0, 1/6, 20
Suppose -2*z**5/5 + 74*z**4/5 - 42*z**3 + 206*z**2/5 - 68*z/5 = 0. Calculate z.
0, 1, 34
What is y in -6*y**4 - 69*y**3 - 126*y**2 + 81*y = 0?
-9, -3, 0, 1/2
Find s, given that -3*s**4 + 15*s**3 + 192*s**2 - 852*s + 864 = 0.
-8, 2, 9
Factor z**2 - 25*z - 26.
(z - 26)*(z + 1)
Factor 2*y**3/9 - 230*y**2 + 2752*y/3 - 8248/9.
2*(y - 1031)*(y - 2)**2/9
Factor n**5 - 8*n**3 + 16*n.
n*(n - 2)**2*(n + 2)**2
Factor 2*t**2/11 + 4*t/11 - 26.
2*(t - 11)*(t + 13)/11
Solve 2*d**4 + 204*d**3 + 6962*d**2 + 89760*d + 387200 = 0 for d.
-40, -11
Factor 4*g**5 - 20*g**4 + 36*g**3 - 28*g**2 + 8*g.
4*g*(g - 2)*(g - 1)**3
Find f such that -3*f**2/8 + 207*f/8 - 51/2 = 0.
1, 68
Factor -21*h**4/2 - 321*h**3/2 - 1665*h**2/2 - 3075*h/2 - 375.
-3*(h + 5)**3*(7*h + 2)/2
Factor -2*d**3 + 40*d**2/3 - 24*d + 32/3.
-2*(d - 4)*(d - 2)*(3*d - 2)/3
Factor 2*p**3 - 14*p**2 - 98*p + 686.
2*(p - 7)**2*(p + 7)
Factor 8*b**3/7 + 18*b**2/7 + 4*b/7.
2*b*(b + 2)*(4*b + 1)/7
Solve 2*n**2 - 4*n - 30 = 0.
-3, 5
Suppose -105*r**3 + 800*r**2 - 465*r + 70 = 0. Calculate r.
2/7, 1/3, 7
Determine y so that -9*y**5 - 579*y**4 + 2874*y**3 - 1656*y**2 = 0.
-69, 0, 2/3, 4
Suppose 3*n**3 - 126*n**2 + 243*n - 120 = 0. What is n?
1, 40
What is p in p**4/4 + p**3/4 - p**2 - p = 0?
-2, -1, 0, 2
Determine v, given that v**4/6 - 49*v**3 + 23029*v**2/6 - 34790*v + 252050/3 = 0.
5, 142
Factor 5*v**5 + 25*v**4 - 35*v**3 - 25*v**2 + 30*v.
5*v*(v - 1)**2*(v + 1)*(v + 6)
Factor -i**2/7 + 944*i/7 - 222784/7.
-(i - 472)**2/7
Find i, given that -722*i**5 - 1292*i**4 + 3906*i**3 + 3556*i**2 - 872*i + 48 = 0.
-3, -1, 2/19, 2
Let -m**4/4 - m**3/2 + 3*m**2 - 7*m/2 + 5/4 = 0. Calculate m.
-5, 1
Suppose 3*o**3/5 - 84*o**2/5 - 147*o = 0. What is o?
-7, 0, 35
Solve -2*q**2 - 82*q - 80 = 0 for q.
-40, -1
Factor -3*k**3/2 - 176*k**2 - 10207*k/2 + 3481.
-(k + 59)**2*(3*k - 2)/2
Determine k, given that -2*k**4 - 216*k**3 - 2844*k**2 - 4536*k + 45198 = 0.
-93, -9, 3
Factor l**4/5 - 23*l**3/5 - 3*l**2/5 + 67*l/5 + 46/5.
(l - 23)*(l - 2)*(l + 1)**2/5
Factor -3*q**2/8 - 1719*q/4 - 984987/8.
-3*(q + 573)**2/8
Factor 2*p**2/3 + 82*p/3 + 80/3.
2*(p + 1)*(p + 40)/3
Find q, given that 285*q**2 - 550*q - 40 = 0.
-4/57, 2
Let i**4/6 + 41*i**3/6 + 125*i**2/3 - 592*i + 960 = 0. What is i?
-24, 2, 5
Factor -12*t**2 - 171*t - 42.
-3*(t + 14)*(4*t + 1)
Solve 3*c**4 + 531*c**3 + 528*c**2 = 0.
-176, -1, 0
Determine j, given that -2*j**2 - 242*j + 492 = 0.
-123, 2
Find t such that -4*t**2 - 1640*t - 168100 = 0.
-205
Factor 2*k**3/3 + 20*k**2 + 18*k - 116/3.
2*(k - 1)*(k + 2)*(k + 29)/3
Factor -2*c**2 - 800*c + 3232.
-2*(c - 4)*(c + 404)
Let -3*h**4 - 277*h**3 + 756*h**2 - 380*h = 0. Calculate h.
-95, 0, 2/3, 2
Factor 4*d**2 - 3624*d + 3620.
4*(d - 905)*(d - 1)
What is q in 5*q**2 - 180*q + 340 = 0?
2, 34
Suppose -j**3 + 310*j**2 - 1228*j + 1224 = 0. Calculate j.
2, 306
Let 2*y**5 - 328*y**4/9 - 70*y**3 - 68*y**2/3 + 80*y/9 = 0. Calculate y.
-1, 0, 2/9, 20
Factor 2*z**3 + 114*z**2/5 + 198*z/5 - 162/5.
2*(z + 3)*(z + 9)*(5*z - 3)/5
Let m**4 + 32*m**3 + 352*m**2 + 1536*m + 2304 = 0. What is m?
-12, -4
Suppose -2*n**3/21 - 38*n**2/21 - 188*n/21 - 80/7 = 0. Calculate n.
-12, -5, -2
Let 3*m**2 + 51*m - 180 = 0. Calculate m.
-20, 3
Factor 16*i**2/7 - 82*i + 70.
2*(i - 35)*(8*i - 7)/7
Factor -2*h**3/5 - 54*h**2/5 - 424*h/5 - 168.
-2*(h + 3)*(h + 10)*(h + 14)/5
Determine x so that x**3/4 - 35*x**2/4 + 72*x + 81 = 0.
-1, 18
Factor i**5 + 3*i**4 - 18*i**3 + 4*i**2 + 24*i.
i*(i - 2)**2*(i + 1)*(i + 6)
Factor -p**2/2 - 7*p/2 + 4.
-(p - 1)*(p + 8)/2
Find h, given that 4*h**2 - 1448*h - 1452 = 0.
-1, 363
Factor -5*u**3 + 35*u**2 - 80*u + 60.
-5*(u - 3)*(u - 2)**2
Factor 2*v**3 + 1466*v**2 - 7372*v + 5904.
2*(v - 4)*(v - 1)*(v + 738)
Suppose c**2/3 + 53*c/9 - 2 = 0. What is c?
-18, 1/3
Let 3*s**4/5 + 228*s**3/5 - 243*s**2/5 - 912*s/5 + 924/5 = 0. Calculate s.
-77, -2, 1, 2
Solve -2*o**5/9 + 2*o**4/3 + 92*o**3/9 - 356*o**2/9 - 10*o + 350/9 = 0.
-7, -1, 1, 5
Suppose -n**5 + n**4 + 8*n**3 - 8*n**2 - 16*n + 16 = 0. Calculate n.
-2, 1, 2
Suppose -5*a**3 - 70*a**2 - 35*a + 390 = 0. Calculate a.
-13, -3, 2
Factor -5*f**2/2 - 3335*f + 6675/2.
-5*(f - 1)*(f + 1335)/2
Solve -2*v**4/15 + 12*v**3/5 - 58*v**2/15 - 32*v/5 = 0 for v.
-1, 0, 3, 16
Factor -2*t**3 - 12*t**2 + 254*t - 240.
-2*(t - 8)*(t - 1)*(t + 15)
Let 28*z**5/5 - 108*z**4/5 + 68*z**3/5 + 124*z**2/5 - 96*z/5 - 16/5 = 0. What is z?
-1, -1/7, 1, 2
Factor 3*t**4/5 - 5592*t**3/5 + 2605872*t**2/5.
3*t**2*(t - 932)**2/5
Factor 3*i**4 - 15*i**3 + 24*i**2 - 12*i.
3*i*(i - 2)**2*(i - 1)
Factor -2*r**4/3 - 32*r**3/3 - 52*r**2 - 224*r/3 - 98/3.
-2*(r + 1)**2*(r + 7)**2/3
Factor 5*j**4 - 975*j**3 + 7560*j**2 - 14960*j.
5*j*(j - 187)*(j - 4)**2
Suppose 28*u**3 + 76*u**2 - 136*u + 32 = 0. Calculate u.
-4, 2/7, 1
Factor -2*d**3/7 - 10*d**2/7 + 26*d/7 - 2.
-2*(d - 1)**2*(d + 7)/7
Suppose q**2/3 - 137*q + 410/3 = 0. What is q?
1, 410
Solve 2*l**3/7 + 4210*l**2/7 + 2213406*l/7 - 2217618/7 = 0.
-1053, 1
Suppose -2014*h**3/7 + 4*h**2/7 + 8056*h/7 - 16/7 = 0. What is h?
-2, 2/1007, 2
Suppose -n**2/4 + 35*n/4 - 33/2 = 0. What is n?
2, 33
Determine y, given that -y**5/3 - y**4 + 17*y**3/3 + 29*y**2 + 128*y/3 + 20 = 0.
-3, -2, -1, 5
Suppose 3*p**4/8 + 15*p**3/8 - 9*p**2 + 3*p/2 + 12 = 0. What is p?
-8, -1, 2
Factor -2*o**2 - 84*o - 304.
-2*(o + 4)*(o + 38)
Find o, given that 93*o**4/2 - 707*o**3/2 - 147*o**2 - 8*o = 0.
-1/3, -2/31, 0, 8
Factor 3*q**3/5 - 12*q**2/5 - 87*q/5 - 72/5.
3*(q - 8)*(q + 1)*(q + 3)/5
Find q such that 2*q**2/9 - 412*q/9 + 410/9 = 0.
1, 205
Factor 3*b**3 - 8253*b**2 + 7568001*b - 2313285639.
3*(b - 917)**3
Factor 3*u**2 + 117*u - 120.
3*(u - 1)*(u + 40)
Determine s so that -2*s**2 + 308*s - 11858 = 0.
77
Suppose z**2/6 - 8*z/3 - 22 = 0. Calculate z.
-6, 22
Solve -5*h**3 + 35*h**2 + 20*h - 140 = 0.
-2, 2, 7
Factor 3*d**5 + 9*d**4 - 15*d**3 - 9*d**2 + 12*d.
3*d*(d - 1)**2*(d + 1)*(d + 4)
Factor -2*m**2/3 + 192*m - 2272/3.
-2*(m - 284)*(m - 4)/3
Suppose 4*v**4/7 + 148*v**3 + 2056*v**2/7 = 0. Calculate v.
-257, -2, 0
Suppose -5*i**5 + 45*i**4 - 130*i**3 + 90*i**2 + 135*i - 135 = 0. What is i?
-1, 1, 3
Factor -4*o**3 + 7736*o**2 - 3748080*o + 7465248.
-4*(o - 966)**2*(o - 2)
Factor 5