z**3/5 + 12*z**2/5 - 12*z/5.
-3*z*(z - 2)*(z - 1)*(z + 2)/5
Determine a, given that -5*a**2/3 + 90*a - 520/3 = 0.
2, 52
Let 2*x**3/3 + 28*x**2/3 - 48*x = 0. What is x?
-18, 0, 4
Factor -8*q**3/9 - 74*q**2/9 - 178*q/9 - 40/9.
-2*(q + 4)*(q + 5)*(4*q + 1)/9
Suppose 12*r**5 - 16*r**4 - 20*r**3 + 8*r**2 = 0. What is r?
-1, 0, 1/3, 2
Factor b**5/2 + b**4 - 7*b**3/2 - 10*b**2 - 6*b.
b*(b - 3)*(b + 1)*(b + 2)**2/2
Factor -5*k**3 + 335*k**2 + 685*k + 345.
-5*(k - 69)*(k + 1)**2
Let -g**3/3 - 25*g**2/3 + g/3 + 25/3 = 0. What is g?
-25, -1, 1
What is a in -5*a**5 - 30*a**4 - 45*a**3 - 20*a**2 = 0?
-4, -1, 0
Find z, given that 3*z**2/4 + 72*z + 405 = 0.
-90, -6
Solve 3*c**4 + 18*c**3 - 75*c**2 + 54*c = 0.
-9, 0, 1, 2
Factor 6*q**3 - 39*q**2 + 48*q - 15.
3*(q - 5)*(q - 1)*(2*q - 1)
Factor 2*m**2 - 958*m.
2*m*(m - 479)
Factor 4*n**4 + 148*n**3 - 472*n**2 + 320*n.
4*n*(n - 2)*(n - 1)*(n + 40)
Solve c**4/7 + 222*c**3/7 - 65*c**2 - 1572*c/7 - 128 = 0 for c.
-224, -1, 4
Factor -c**4/5 + c**3/5 + 3*c**2 + 23*c/5 + 2.
-(c - 5)*(c + 1)**2*(c + 2)/5
Factor -3*t**3/4 - 277*t**2/2 - 6440*t - 4232.
-(t + 92)**2*(3*t + 2)/4
Suppose 4*z**5 + 32*z**4 + 96*z**3 + 128*z**2 + 64*z = 0. Calculate z.
-2, 0
Factor -2*l**4/17 - 2012*l**3/17 - 510018*l**2/17 - 2008008*l/17.
-2*l*(l + 4)*(l + 501)**2/17
Suppose -1922*k**4/7 + 22816*k**3/7 - 66224*k**2/7 - 8832*k/7 - 288/7 = 0. Calculate k.
-2/31, 6
Factor 3*p**3 - 147*p**2 + 282*p.
3*p*(p - 47)*(p - 2)
Factor 2*s**5/19 - 12*s**4/19 + 18*s**3/19 - 8*s**2/19.
2*s**2*(s - 4)*(s - 1)**2/19
What is s in -2*s**3/11 - 16*s**2/11 - 10*s/11 + 100/11 = 0?
-5, 2
Suppose 8*c**4/3 - 9*c**3 + 3*c**2 + 32*c/3 - 4 = 0. What is c?
-1, 3/8, 2
Solve 4*t**4 - 1624*t**3 + 209808*t**2 - 7157160*t - 190619028 = 0.
-17, 141
What is w in -10*w**4 + 475*w**3 - 2785*w**2 + 4965*w - 1845 = 0?
1/2, 3, 41
Factor 3*o**3 - 165*o**2 - 12*o + 660.
3*(o - 55)*(o - 2)*(o + 2)
Factor 7938*g**4/5 + 157752*g**3/5 + 773672*g**2/5 - 20032*g + 640.
2*(g + 10)**2*(63*g - 4)**2/5
Let -5*i**3 - 2595*i**2 - 448935*i - 25888585 = 0. Calculate i.
-173
Factor 2*j**3 - 24*j**2 + 90*j - 108.
2*(j - 6)*(j - 3)**2
Factor 9*i**4 + 21*i**3 + 6*i**2.
3*i**2*(i + 2)*(3*i + 1)
Factor -5*b**3 - 110*b**2 - 425*b.
-5*b*(b + 5)*(b + 17)
Factor -t**5/9 - 29*t**4/9 + 10*t**3/3.
-t**3*(t - 1)*(t + 30)/9
Find k, given that -2*k**3/11 - 8*k**2/11 + 2*k/11 + 8/11 = 0.
-4, -1, 1
Factor 6*j**3 + 3212*j**2 - 8600*j + 4304.
2*(j - 2)*(j + 538)*(3*j - 2)
Factor 34*w**3/15 + 166*w**2/15 - 4*w/3.
2*w*(w + 5)*(17*w - 2)/15
Suppose 2*t**3/21 - 26*t**2/21 - 400*t + 11928 = 0. What is t?
-71, 42
Solve -33*l**5 - 489*l**4 - 1989*l**3 - 1239*l**2 + 294*l = 0.
-7, -1, 0, 2/11
Factor -z**2/7 - z - 6/7.
-(z + 1)*(z + 6)/7
Suppose 5*l**3 - 20*l**2 - 25*l = 0. Calculate l.
-1, 0, 5
Factor -m**3/10 - 32*m**2/5 + 134*m/5 - 136/5.
-(m - 2)**2*(m + 68)/10
Factor m**3 - 23*m**2 - m + 23.
(m - 23)*(m - 1)*(m + 1)
Factor 2*i**3 - 70*i**2 + 614*i - 546.
2*(i - 21)*(i - 13)*(i - 1)
What is n in 12*n**5 - 33*n**4 - 117*n**3 - 87*n**2 - 15*n = 0?
-1, -1/4, 0, 5
Determine y so that 3*y**5 + 24*y**4 - 27*y**3 = 0.
-9, 0, 1
Suppose -4*k**2/7 + 12*k/7 + 720/7 = 0. Calculate k.
-12, 15
Factor 3*a**5 - 6*a**4 - 9*a**3 + 12*a**2 + 12*a.
3*a*(a - 2)**2*(a + 1)**2
Determine k, given that -2*k**4/7 + 40*k**3/7 - 198*k**2/7 - 40*k/7 + 200/7 = 0.
-1, 1, 10
Determine n, given that 55*n**3 + 25*n**2 - 30*n = 0.
-1, 0, 6/11
Factor -j**5/4 + 227*j**4/2 - 51529*j**3/4.
-j**3*(j - 227)**2/4
Let v**5/3 + 35*v**4/9 - 16*v**3/3 - 52*v**2 - 416*v/9 + 64/3 = 0. Calculate v.
-12, -2, 1/3, 4
Factor p**3/3 - p**2/3 - p/3 + 1/3.
(p - 1)**2*(p + 1)/3
Factor -15*g**3 + 65*g**2 - 65*g + 15.
-5*(g - 3)*(g - 1)*(3*g - 1)
What is p in -2*p**4/9 + 58*p**3/3 - 4402*p**2/9 + 7982*p/3 + 7436 = 0?
-2, 11, 39
Factor -2*k**3/5 - 1428*k**2/5 - 254898*k/5.
-2*k*(k + 357)**2/5
Find t, given that 3*t**3/4 + 15*t**2 + 183*t/4 - 585/2 = 0.
-13, -10, 3
Factor -2*u**2/3 + 1586*u.
-2*u*(u - 2379)/3
Factor -3*k**2 + 69*k - 126.
-3*(k - 21)*(k - 2)
Factor 5*k**4 - 35*k**2 + 30*k.
5*k*(k - 2)*(k - 1)*(k + 3)
Find t such that -t**5/5 + 14*t**4/5 + 7*t**3/5 - 104*t**2/5 + 84*t/5 = 0.
-3, 0, 1, 2, 14
Factor -l**3 - 447*l**2 - 51480*l - 338800.
-(l + 7)*(l + 220)**2
Let -z**4/2 - 7*z**3/2 + 39*z**2/2 + 95*z/2 + 25 = 0. Calculate z.
-10, -1, 5
Find h, given that -h**4 - 412*h**3/3 + 371*h**2 - 326*h + 280/3 = 0.
-140, 2/3, 1
Factor s**2/9 + 320*s/9 + 319/9.
(s + 1)*(s + 319)/9
What is s in -s**3/6 - s**2 - 5*s/6 + 2 = 0?
-4, -3, 1
Find b such that b**3/2 - 28*b**2/3 - 295*b/6 - 46/3 = 0.
-4, -1/3, 23
Solve 4*l**3 + 200*l**2 - 848*l + 864 = 0 for l.
-54, 2
Let 3*u**4/7 + 6*u**3/7 - 81*u**2/7 + 324/7 = 0. Calculate u.
-6, -2, 3
Find t such that 7*t**2/6 - 5923*t/3 + 564 = 0.
2/7, 1692
Suppose y**3/10 - 27*y**2/10 - 14*y/5 = 0. What is y?
-1, 0, 28
Suppose -w**3 - 5*w**2 + 32*w - 36 = 0. Calculate w.
-9, 2
Factor -2*r**3/5 - 58*r**2 - 832*r/5 + 568.
-2*(r - 2)*(r + 5)*(r + 142)/5
Determine s so that 5*s**4 - 30*s**3 + 40*s**2 + 30*s - 45 = 0.
-1, 1, 3
Factor 35*l**3/2 + 33*l**2/2 - l.
l*(l + 1)*(35*l - 2)/2
Factor m**2 + 106*m - 216.
(m - 2)*(m + 108)
Factor -a**2 - 20*a + 96.
-(a - 4)*(a + 24)
Determine p so that -3*p**4/4 - 9*p**3/2 + 126*p**2 - 600*p + 864 = 0.
-18, 4
Factor -v**4/4 - 35*v**3/4 - 72*v**2 + 81*v.
-v*(v - 1)*(v + 18)**2/4
Let -b**3/2 - 219*b**2/2 = 0. Calculate b.
-219, 0
Determine o, given that -6*o**5/7 - 11*o**4/7 + 8*o**3/7 + 11*o**2/7 - 2*o/7 = 0.
-2, -1, 0, 1/6, 1
Find u such that -3*u**5 + 6*u**4 + 3*u**3 - 6*u**2 = 0.
-1, 0, 1, 2
Factor c**5/11 + 9*c**4/11 + 26*c**3/11 + 20*c**2/11 - 24*c/11 - 32/11.
(c - 1)*(c + 2)**3*(c + 4)/11
Let -3*r**4 - 78*r**3 = 0. What is r?
-26, 0
Factor 4*d**4/9 - 8*d**3/3 - 16*d**2/9 + 32*d/3.
4*d*(d - 6)*(d - 2)*(d + 2)/9
Factor 6*c**3/11 + 276*c**2/11 + 4134*c/11 + 20280/11.
6*(c + 13)**2*(c + 20)/11
Let o**5/3 - 89*o**4/3 + 871*o**3 - 26275*o**2/3 + 23750*o/3 = 0. What is o?
0, 1, 25, 38
What is z in 5*z**5 - 45*z**4 - 470*z**3 + 2980*z**2 + 11400*z + 8000 = 0?
-8, -2, -1, 10
Determine i, given that -2*i**2/9 + 248*i/9 + 56 = 0.
-2, 126
Factor 2*o**2 - 76*o - 78.
2*(o - 39)*(o + 1)
What is c in c**2 + 15*c - 16 = 0?
-16, 1
Factor 4*g**4 - 204*g**3 - 1592*g**2 - 1920*g + 3712.
4*(g - 58)*(g - 1)*(g + 4)**2
Factor 3*a**3/5 + 204*a**2/5 - 3*a/5 - 204/5.
3*(a - 1)*(a + 1)*(a + 68)/5
Suppose 5*l**4 + 72*l**3 + 28*l**2 = 0. What is l?
-14, -2/5, 0
What is x in x**3/2 + 29*x**2 + 321*x/2 + 234 = 0?
-52, -3
Determine n so that 2*n**2/21 + 452*n/7 + 76614/7 = 0.
-339
Determine k, given that -k**5 + 2*k**4 + 6*k**3 - 20*k**2 + 19*k - 6 = 0.
-3, 1, 2
Find m such that -2*m**4/5 - 16*m**3/5 - 48*m**2/5 - 64*m/5 - 32/5 = 0.
-2
Let 11*h**2/3 + 38*h - 560/3 = 0. Calculate h.
-14, 40/11
Factor j**3 + 33*j**2 + 363*j + 1331.
(j + 11)**3
Find p, given that -2*p**2 - 250*p - 248 = 0.
-124, -1
Suppose -4*w**5 - 12764*w**4 - 10201612*w**3 - 30528292*w**2 - 30502784*w - 10163344 = 0. Calculate w.
-1594, -1
Suppose 6*m**5 - 88*m**4/5 + 10*m**3 + 16*m**2/5 - 8*m/5 = 0. What is m?
-2/5, 0, 1/3, 1, 2
Determine x, given that -15*x**5 - 10*x**4 + 105*x**3 - 20*x**2 - 60*x = 0.
-3, -2/3, 0, 1, 2
Solve 15*f**5 - 579*f**4 + 306*f**3 + 1356*f**2 + 456*f = 0 for f.
-1, -2/5, 0, 2, 38
Solve 5*r**5 - 20*r**3 + 10*r**2 + 15*r - 10 = 0 for r.
-2, -1, 1
What is u in u**5/5 + u**4 - 27*u**3/5 - 17*u**2/5 + 62*u/5 + 48/5 = 0?
-8, -1, 2, 3
Suppose 3*l**5 - 27*l**4 + 15*l**3 + 195*l**2 - 18*l - 168 = 0. Calculate l.
-2, -1, 1, 4, 7
Let -i**4/6 - i**3/2 + 55*i**2/6 - 47*i/2 + 15 = 0. Calculate i.
-10, 1, 3
Determine n so that -25*n**3 - 355*n**2 - 1070*n - 200 = 0.
-10, -4, -1/5
Suppose 4*r**2/3 - 10*r/3 + 4/3 = 0. What is r?
1/2, 2
Suppose -3*y**2/2 - 63*y - 1215/2 = 0. Calculate y.
-27, -15
Let -5*p**3 - 555*p**2 - 20535*p - 253265 = 0. Calculate p.
-37
Factor -343*x**5/3 - 49*x**4/3 + 70*x**3 - 76*x**2/3 + 8*x/3.
-x*(x + 1)*(7*x - 2)**3/3
Factor -4*z**3 + 92*z**2 + 312*z.
-4*z*(z - 26)*(z + 3)
Determine y, given that 3*y**5 + 105*y**4/4 + 72*y**3 + 177*y**2/2 + 51*y + 45/4 = 0.
-5, -1, -3/4
What is d in 64*d**4 - 96*d**3 - 76*d**2 + 24*d = 0?
-3/4, 0, 1/4, 2
Let 2*v**5/13 + 4*v**4/13 - 192*v**3/13 + 640*v**2/13 + 512*v/13 - 3072/13 = 0. Calculate v.
-12, -2, 4
