*f**3 + 693*f**2 + 699*f - 696.
3*(f - 232)*(f - 1)**2*(f + 1)
Determine i so that i**4 - 19*i**3 - 3*i**2 + 55*i + 38 = 0.
-1, 2, 19
Suppose -2*o**5/11 + 34*o**4/11 - 72*o**3/11 - 184*o**2/11 + 224*o/11 = 0. Calculate o.
-2, 0, 1, 4, 14
Determine i so that 5*i**5 + 380*i**4 + 7945*i**3 + 27730*i**2 + 33120*i + 12960 = 0.
-36, -2, -1
Factor h**4 + 57*h**3 + 1209*h**2 + 11323*h + 39546.
(h + 13)**3*(h + 18)
Solve -2*x**2 - 150*x + 152 = 0.
-76, 1
Determine f so that -f**4/2 - 3*f**3 - 5*f**2/2 + 6*f = 0.
-4, -3, 0, 1
Let 5*m**5 + 38*m**4 + 49*m**3 + 4*m**2 - 12*m = 0. What is m?
-6, -1, 0, 2/5
Solve -w**5/5 - w**4/5 + w**3 + w**2 - 4*w/5 - 4/5 = 0.
-2, -1, 1, 2
Let o**4/2 + 9*o**3 - 219*o**2/2 + 316*o - 216 = 0. Calculate o.
-27, 1, 4
Solve x**3/5 - 58*x**2 + 1713*x/5 - 2556/5 = 0 for x.
3, 284
Solve -3*h**4 + 21*h**3 + 57*h**2 - 525*h + 450 = 0 for h.
-5, 1, 5, 6
Suppose -4*c**5 + 28*c**4 + 4*c**3 - 28*c**2 = 0. What is c?
-1, 0, 1, 7
Factor 243*c**5/4 + 6399*c**4/2 - 8667*c**3/2 + 2178*c**2 - 1941*c/4 + 81/2.
3*(c + 54)*(3*c - 1)**4/4
Factor -4*d**5 - 28*d**4 - 24*d**3.
-4*d**3*(d + 1)*(d + 6)
Find b, given that 4*b**5 - 524*b**4/7 + 1528*b**3/7 + 480*b**2/7 = 0.
-2/7, 0, 4, 15
Solve 3*y**3 + 48*y**2 - 105*y + 54 = 0 for y.
-18, 1
Find k, given that -4*k**3/9 - 16*k**2/3 + 112*k - 384 = 0.
-24, 6
Factor 4*v**3 + 480*v**2 + 19008*v + 247808.
4*(v + 32)*(v + 44)**2
Let 2*g**2/9 - 8*g/9 = 0. What is g?
0, 4
Find g, given that 3*g**4 - 69*g**3 - 165*g**2 + 357*g + 450 = 0.
-3, -1, 2, 25
Factor 2*b**4 - 18*b**3 - 22*b**2 + 18*b + 20.
2*(b - 10)*(b - 1)*(b + 1)**2
Factor 2*x**5/19 - 40*x**4/19 + 236*x**3/19 - 360*x**2/19 + 162*x/19.
2*x*(x - 9)**2*(x - 1)**2/19
What is r in 2*r**2 + 4*r = 0?
-2, 0
Let -4*r**3 + 72*r**2 - 324*r = 0. Calculate r.
0, 9
Factor b**2/7 - 18*b/7 + 65/7.
(b - 13)*(b - 5)/7
Suppose -20*t**5 - 635*t**4 - 460*t**3 + 155*t**2 = 0. What is t?
-31, -1, 0, 1/4
Suppose -14*k**2 + 31*k - 6 = 0. What is k?
3/14, 2
Factor 2*n**4 + 114*n**3 - 2*n**2 - 114*n.
2*n*(n - 1)*(n + 1)*(n + 57)
Suppose -d**5/10 + 2*d**4/5 + 6*d**3/5 = 0. What is d?
-2, 0, 6
Let 2*z**4 + 16*z**3 + 48*z**2 + 64*z + 32 = 0. What is z?
-2
What is c in 4*c**2/5 - 388*c/5 - 392/5 = 0?
-1, 98
Determine z, given that -4*z**2 - 64*z - 240 = 0.
-10, -6
Find s such that -2*s**3/9 + 64*s**2/9 + 280*s/9 + 32 = 0.
-2, 36
Factor 4*v**2/3 - 6*v - 10/3.
2*(v - 5)*(2*v + 1)/3
Factor -u**5/5 - 9*u**4/5 - 29*u**3/5 - 43*u**2/5 - 6*u - 8/5.
-(u + 1)**3*(u + 2)*(u + 4)/5
Determine p, given that -36*p**5 + 27276*p**4 - 5161948*p**3 - 1747932*p**2 + 4584384*p + 2298256 = 0.
-2/3, 1, 379
Factor 2*p**2/19 + 818*p/19 - 820/19.
2*(p - 1)*(p + 410)/19
Suppose b**5 + 7*b**4 + 18*b**3 + 20*b**2 + 8*b = 0. What is b?
-2, -1, 0
Factor h**4 + 14*h**3 - 49*h**2 + 34*h.
h*(h - 2)*(h - 1)*(h + 17)
Let d**2/2 - 12*d - 26 = 0. Calculate d.
-2, 26
Suppose 2*n**2 + 4*n - 6 = 0. What is n?
-3, 1
Solve -h**5 - h**4 + 2*h**3 + 2*h**2 - h - 1 = 0 for h.
-1, 1
Suppose -5*i**4 + 40*i**3 + 60*i**2 - 560*i + 640 = 0. Calculate i.
-4, 2, 8
Determine g so that g**3 + 83*g**2 - 169*g + 85 = 0.
-85, 1
Factor 4*y**2/3 + 472*y/3 - 1952/3.
4*(y - 4)*(y + 122)/3
Factor 2*m**4 - 336*m**3 + 13772*m**2 + 28560*m + 14450.
2*(m - 85)**2*(m + 1)**2
Factor 196*h**4 - 280*h**3 - 1776*h**2 - 928*h - 128.
4*(h - 4)*(h + 2)*(7*h + 2)**2
Determine j so that -3*j**4 + 75*j**2 = 0.
-5, 0, 5
Let 5*o**2 - 825*o + 1630 = 0. What is o?
2, 163
Suppose 2*l**3 - 6*l**2 - 18*l - 10 = 0. Calculate l.
-1, 5
What is o in -o**5/4 - 11*o**4/4 + 109*o**3/4 - 289*o**2/4 + 75*o - 27 = 0?
-18, 1, 2, 3
Factor -4*t**2 - 24*t + 108.
-4*(t - 3)*(t + 9)
Let -3*f**2/4 - 129*f/4 = 0. Calculate f.
-43, 0
What is q in -2*q**3/19 - 6*q**2 + 120*q/19 + 232/19 = 0?
-58, -1, 2
Factor -373*j**2/10 - 371*j/10 + 1/5.
-(j + 1)*(373*j - 2)/10
Factor -2*f**2 - 532*f - 35378.
-2*(f + 133)**2
Solve 2*p**4/13 - 36*p**3/13 + 88*p**2/13 + 36*p/13 - 90/13 = 0.
-1, 1, 3, 15
Let -2*l**3/23 - 20*l**2/23 + 22*l/23 = 0. What is l?
-11, 0, 1
Let -3*z**4/8 - 3*z**3/8 + 45*z**2/4 = 0. What is z?
-6, 0, 5
Factor 1568*z**2 - 6384*z + 6498.
2*(28*z - 57)**2
Find w such that 24*w**2 - 69*w + 42 = 0.
7/8, 2
Suppose -5*u**4/7 + 208*u**3/7 + 519*u**2/7 + 394*u/7 + 88/7 = 0. What is u?
-1, -2/5, 44
Solve -i**4/7 + 22*i**3/7 - 181*i**2/7 + 660*i/7 - 900/7 = 0.
5, 6
Find y, given that -32*y**2 + 44*y = 0.
0, 11/8
Factor 289*a**3/9 + 1955*a**2/9 - 472*a/9 + 28/9.
(a + 7)*(17*a - 2)**2/9
Determine s, given that -4*s**2 - 384*s + 1600 = 0.
-100, 4
Solve -2*h**3/5 - 5746*h**2/5 - 827134*h - 2471070 = 0 for h.
-1435, -3
Factor -5*i**4 + 10*i**3 + 60*i**2 + 70*i + 25.
-5*(i - 5)*(i + 1)**3
Suppose -3*r**5 - 27*r**4 - 78*r**3 - 72*r**2 = 0. What is r?
-4, -3, -2, 0
Factor o**3/3 + 344*o**2/3 + 9975*o + 19494.
(o + 2)*(o + 171)**2/3
Solve v**3/3 - v**2/3 - v/3 + 1/3 = 0 for v.
-1, 1
Solve 5*p**5 - 2145*p**4 + 228975*p**3 + 231125*p**2 = 0 for p.
-1, 0, 215
Determine q, given that -5*q**4 + 50*q**3 + 2535*q**2 - 13300*q - 353780 = 0.
-14, 19
Solve z**5 - z**4 - 44*z**3 - 100*z**2 + 16*z + 128 = 0 for z.
-4, -2, 1, 8
Solve 26*v**2/9 - 12*v + 16/9 = 0.
2/13, 4
Factor s**2/6 + 49*s/6 - 55.
(s - 6)*(s + 55)/6
Factor -2*f**5/9 + 18*f**4 + 164*f**3/9.
-2*f**3*(f - 82)*(f + 1)/9
Let -3*j**5 + 294*j**4 + 3822*j**3 + 15000*j**2 + 19725*j + 8250 = 0. What is j?
-5, -1, 110
Determine f, given that -14*f**3 + 10*f**2 + 62*f + 38 = 0.
-1, 19/7
Factor -y**4/4 - 5*y**3 + 11*y**2/2 + 5*y - 21/4.
-(y - 1)**2*(y + 1)*(y + 21)/4
Solve 3*m**3 - 1860*m**2 - 3732*m = 0.
-2, 0, 622
Factor -5*a**3 + 40*a**2 - 95*a + 60.
-5*(a - 4)*(a - 3)*(a - 1)
Solve -5*k**3 - 125*k**2 - 560*k + 2940 = 0 for k.
-14, 3
Find j, given that 162*j**5 - 23589*j**4/2 - 28595*j**3/2 - 1603*j**2 + 886*j + 148 = 0.
-1, -2/9, 1/4, 74
Determine f, given that -2*f**4/5 - 28*f**3/5 - 98*f**2/5 = 0.
-7, 0
Find m such that -4*m**4 - 112*m**3 + 644*m**2 - 528*m = 0.
-33, 0, 1, 4
Let 2*b**3/9 + 84*b**2 - 3626*b/3 + 38416/9 = 0. Calculate b.
-392, 7
Let -5*n**4/2 + 10*n**3 + 105*n**2/2 = 0. What is n?
-3, 0, 7
What is k in -21*k**4 - 5907*k**3 + 4236*k**2 + 1692*k = 0?
-282, -2/7, 0, 1
Solve 2*r**5/11 - 38*r**4/11 + 160*r**3/11 + 200*r**2/11 = 0 for r.
-1, 0, 10
Factor -5*v**2 - 22100*v + 22105.
-5*(v - 1)*(v + 4421)
Factor 2*o**3/5 + 568*o**2/5 + 39754*o/5 - 81796/5.
2*(o - 2)*(o + 143)**2/5
Suppose -j**4 + 21*j**3 - 95*j**2 + 63*j + 180 = 0. What is j?
-1, 3, 4, 15
Factor p**2/5 + 46*p/5 + 9.
(p + 1)*(p + 45)/5
Factor -x**3/6 + 67*x**2/6 - 131*x/6 + 65/6.
-(x - 65)*(x - 1)**2/6
Find q such that 3*q**2 + 1536*q - 1539 = 0.
-513, 1
Factor -u**4/5 + 9*u**3/5 + u**2/5 - 9*u/5.
-u*(u - 9)*(u - 1)*(u + 1)/5
Factor 2*w**2/7 + 46*w/7 - 48/7.
2*(w - 1)*(w + 24)/7
Factor c**3 + 57*c**2 - 240*c + 244.
(c - 2)**2*(c + 61)
Factor -5*b**2 - 55*b - 140.
-5*(b + 4)*(b + 7)
Factor -2*y**2/3 + 256*y/3 + 520/3.
-2*(y - 130)*(y + 2)/3
Factor -5*b**2 - 6500*b.
-5*b*(b + 1300)
Factor 3*b**5 + 9*b**4 - 9*b**3 - 33*b**2 - 18*b.
3*b*(b - 2)*(b + 1)**2*(b + 3)
Suppose 2*p**3 + 154*p**2 - 196*p - 3120 = 0. What is p?
-78, -4, 5
Find d such that -4*d**2/7 - 2152*d/7 + 2180 = 0.
-545, 7
Let 2*i**5 + 24*i**4 + 64*i**3 - 140*i**2 - 450*i + 500 = 0. Calculate i.
-5, 1, 2
Let -g**2/7 - g + 18/7 = 0. What is g?
-9, 2
Factor 2*x**2/5 + 72*x/5 + 14.
2*(x + 1)*(x + 35)/5
Solve w**5/3 - 2*w**4/3 - w**3 + 8*w**2/3 - 4*w/3 = 0.
-2, 0, 1, 2
Find a, given that -a**4/4 - 7*a**3/4 - 2*a**2 + 4*a = 0.
-4, 0, 1
Find i, given that -12*i**4 + 327*i**3 - 69*i**2 - 327*i + 81 = 0.
-1, 1/4, 1, 27
Factor s**2 + 6*s - 27.
(s - 3)*(s + 9)
Factor 3*d**2 + 87*d + 162.
3*(d + 2)*(d + 27)
Find a, given that 27*a**5 + 135*a**4 - 660*a**3 - 60*a**2 + 288*a = 0.
-8, -2/3, 0, 2/3, 3
Factor -f**4 - 25*f**3 + 251*f**2 - 423*f + 198.
-(f - 6)*(f - 1)**2*(f + 33)
Factor 4*t**3/5 - 32*t**2/5 + 68*t/5 - 8.
4*(t - 5)*(t - 2)*(t - 1)/5
Let -48*b**5 - 124*b**4 - 12*b**3 + 116*b**2 + 60*b + 8 = 0. Calculate b.
-2, -1, -1/3, -1/4, 1
Solve v**3 + 8*v**2 - 4*v - 32 = 0.
-8, -2, 2
Find a, given that 12*a**4 - 64*a**3 - 240*a**2 - 128*a = 0.
-2, -2/3, 0, 8
Factor -9*k**4/4 - 15*k**3/4 + 8*k**2 - 3*k.
-k*(k + 3)*(3*k - 2)**2/4
Find l such that l**2 - 31*l - 140 = 0.
-4, 35
Suppose -12*q**2 - 11199*q - 2799 = 0. Calculate q