so that 2*m**2 + 3458*m = 0.
-1729, 0
Let -w**2/4 - 236*w - 55696 = 0. Calculate w.
-472
Factor -15*g**3/2 - 189*g**2/2 + 39*g.
-3*g*(g + 13)*(5*g - 2)/2
Suppose 4*c**4 - 68*c**3 - 704*c**2 + 768*c = 0. Calculate c.
-8, 0, 1, 24
Factor w**4/9 + 4*w**3/9.
w**3*(w + 4)/9
Factor 40*w**3 + 404*w**2 + 32*w - 80.
4*(w + 10)*(2*w + 1)*(5*w - 2)
Factor -2*u**3 - 100*u**2 + 318*u.
-2*u*(u - 3)*(u + 53)
Let d**5/5 - 2*d**4/5 - 7*d**3/5 + 8*d**2/5 + 12*d/5 = 0. Calculate d.
-2, -1, 0, 2, 3
Let 7*s**5/8 - 3*s**4/2 - 179*s**3/8 - 9*s**2/2 + 43*s/2 + 6 = 0. What is s?
-4, -1, -2/7, 1, 6
Factor b**3/4 + 93*b**2/4 + 2691*b/4 + 22815/4.
(b + 15)*(b + 39)**2/4
Determine b, given that -4*b**3 - 25*b**2 - 26*b - 5 = 0.
-5, -1, -1/4
Factor 2*v**3/7 - 30*v**2/7 + 54*v/7 + 486/7.
2*(v - 9)**2*(v + 3)/7
Let -k**3/5 + 43*k**2/5 - 206*k/5 - 592/5 = 0. Calculate k.
-2, 8, 37
Suppose -3*q**5 - 84*q**4 + 366*q**3 - 564*q**2 + 381*q - 96 = 0. What is q?
-32, 1
Factor -2*y**2 - 324*y/5 - 128/5.
-2*(y + 32)*(5*y + 2)/5
Suppose -2*n**4/9 - 56*n**3/9 - 200*n**2/9 - 64*n/3 = 0. Calculate n.
-24, -2, 0
Determine s, given that 2*s**5/5 - 2526*s**4/5 + 1060908*s**3/5 - 147097384*s**2/5 - 450908688*s/5 = 0.
-3, 0, 422
Suppose 2*i**4/11 - 30*i**3/11 = 0. Calculate i.
0, 15
Find d such that 4*d**4 - 51*d**3 + 155*d**2 + 42*d = 0.
-1/4, 0, 6, 7
Suppose -3*k**5 + 42*k**4 - 60*k**3 - 150*k**2 + 63*k + 108 = 0. What is k?
-1, 1, 3, 12
Suppose 8*t**4/13 + 48*t**3/13 - 6*t**2/13 - 34*t/13 + 12/13 = 0. Calculate t.
-6, -1, 1/2
Solve 138*d**2/5 + 42*d/5 - 96/5 = 0.
-1, 16/23
Suppose 21*l**5/4 - 39*l**4/2 + 39*l**3/4 + 9*l**2/2 = 0. What is l?
-2/7, 0, 1, 3
Factor -4*h**5/7 - 40*h**4/7 + 208*h**3/7 - 32*h**2.
-4*h**2*(h - 2)**2*(h + 14)/7
Factor -81*c**5 - 630*c**4 - 1900*c**3 - 2760*c**2 - 1920*c - 512.
-(c + 2)**3*(9*c + 8)**2
Solve 2*u**2 + 2726*u = 0 for u.
-1363, 0
Factor d**4/2 - 69*d**3/2 + 33*d**2 + 68*d.
d*(d - 68)*(d - 2)*(d + 1)/2
What is m in -2*m**4/3 + 296*m**3/3 - 3062*m**2/3 + 2168*m + 3288 = 0?
-1, 6, 137
Factor 6*n**4 - 3*n**3 - 15*n**2 + 3*n + 9.
3*(n - 1)*(n + 1)**2*(2*n - 3)
Determine x, given that 2*x**2/13 - 4*x/13 - 16/13 = 0.
-2, 4
Determine a, given that a**3/4 + 4479*a**2/4 + 5017599*a/4 + 5013121/4 = 0.
-2239, -1
Factor 4*q**2/7 + 304*q/7 - 44.
4*(q - 1)*(q + 77)/7
Factor -t**3/2 - 1443*t**2/2 - 694083*t/2 - 111284641/2.
-(t + 481)**3/2
Factor -5*s**3 + 75*s**2 + 90*s - 160.
-5*(s - 16)*(s - 1)*(s + 2)
Suppose 5*w**2 - 405*w = 0. What is w?
0, 81
Determine a, given that 3*a**3/2 + 207*a**2/2 + 99*a - 204 = 0.
-68, -2, 1
Solve 3*d**5/2 + 9*d**4 - 189*d**3/2 + 156*d**2 - 72*d = 0 for d.
-12, 0, 1, 4
Determine j, given that 16*j**5/5 - 10272*j**4/5 + 1638356*j**3/5 + 3305012*j**2/5 + 2071104*j/5 + 414736/5 = 0.
-1, -1/2, 322
Factor -2*z**2 + 32*z + 72.
-2*(z - 18)*(z + 2)
Find i such that 5*i**2 + 610*i + 605 = 0.
-121, -1
Suppose 95*p**3 + 390*p**2 + 40*p = 0. Calculate p.
-4, -2/19, 0
Factor -2*i**4 - 10*i**3 - 4*i**2 + 16*i.
-2*i*(i - 1)*(i + 2)*(i + 4)
Factor h**3/2 + 19*h**2/2 - 41*h/2 + 21/2.
(h - 1)**2*(h + 21)/2
Solve -8*i**5 + 76*i**4 - 100*i**3 + 32*i**2 = 0.
0, 1/2, 1, 8
Find k, given that -4*k**4/5 + 128*k**3/5 - 236*k**2/5 - 128*k/5 + 48 = 0.
-1, 1, 2, 30
Solve l**5 - l**4 - 26*l**3 + 84*l**2 - 72*l = 0 for l.
-6, 0, 2, 3
Factor -y**2 - 10296*y - 26501904.
-(y + 5148)**2
Factor -2*k**3/7 + 18*k**2/7 - 4*k.
-2*k*(k - 7)*(k - 2)/7
Factor -2*r**4/11 - 104*r**3/11 + 1440*r**2/11 - 6016*r/11 + 8192/11.
-2*(r - 4)**3*(r + 64)/11
Suppose 18*m**4/13 + 158*m**3/13 - 648*m**2/13 + 568*m/13 - 96/13 = 0. Calculate m.
-12, 2/9, 1, 2
Suppose 3*w**3 + 51*w**2 + 240*w + 192 = 0. Calculate w.
-8, -1
Let 3*g**5/2 - 15*g**4 + 18*g**3 + 108*g**2 = 0. Calculate g.
-2, 0, 6
Determine p, given that -2*p**2/9 + 980*p/9 - 120050/9 = 0.
245
Let -25*l**4 - 160*l**3 + 115*l**2 + 70*l = 0. Calculate l.
-7, -2/5, 0, 1
Determine y, given that 5*y**5/6 - 115*y**4/6 - 20*y**3 = 0.
-1, 0, 24
Determine z so that 2*z**3/9 + 4*z**2/3 - 98*z/9 + 44/3 = 0.
-11, 2, 3
Let 2*p**4/13 - 60*p**3/13 + 168*p**2/13 - 164*p/13 + 54/13 = 0. Calculate p.
1, 27
Solve -98*k**5/9 + 1288*k**4/9 + 4294*k**3/9 + 980*k**2/3 + 64*k = 0 for k.
-2, -3/7, 0, 16
Determine t, given that -t**4/8 - 5*t**3/2 + 25*t**2/4 + 375*t/2 - 5625/8 = 0.
-15, 5
Suppose 2*u**4 + 97*u**3 - 149*u**2 + 50*u = 0. What is u?
-50, 0, 1/2, 1
Find k such that 5*k**2 - 9800*k + 4802000 = 0.
980
Factor 2*v**2/5 - 324*v/5.
2*v*(v - 162)/5
Suppose -2*p**2/7 + 3840*p/7 - 1843200/7 = 0. Calculate p.
960
Factor -2*p**3/21 + 54*p**2/7 - 1458*p/7 + 13122/7.
-2*(p - 27)**3/21
Determine o, given that 18*o**4/5 + 579*o**3/5 + 1194*o**2/5 + 723*o/5 + 18 = 0.
-30, -1, -1/6
Factor 5*h**2 + 52180*h + 136137620.
5*(h + 5218)**2
Factor b**3/6 + 29*b**2/2.
b**2*(b + 87)/6
Suppose a**2/5 - 18*a + 89/5 = 0. Calculate a.
1, 89
Factor u**4/3 - 22*u**3 - 68*u**2/3 + 22*u + 67/3.
(u - 67)*(u - 1)*(u + 1)**2/3
Solve -4*v**4 - 184*v**3 - 180*v**2 = 0.
-45, -1, 0
Determine w, given that 2*w**4/5 - 7*w**3/5 + 6*w**2/5 + w/5 - 2/5 = 0.
-1/2, 1, 2
Suppose -10*d**2/17 + 242*d/17 - 48/17 = 0. Calculate d.
1/5, 24
Solve -c**4/3 + 2*c**3 + 24*c**2 - 518*c/3 + 147 = 0 for c.
-9, 1, 7
Find t such that 4*t**5 + 284*t**4 + 1356*t**3 + 2404*t**2 + 1856*t + 528 = 0.
-66, -2, -1
Solve 4*m**5/9 - 967*m**4/9 + 718*m**3/9 + 1208*m**2/9 - 722*m/9 - 241/9 = 0.
-1, -1/4, 1, 241
Find w such that -w**4/4 - w**3/4 + w**2/4 + w/4 = 0.
-1, 0, 1
Determine i so that 2*i**3/7 + 80*i**2/7 + 744*i/7 + 288 = 0.
-28, -6
Factor -2*t**4/5 + 4*t**3 - 58*t**2/5 + 8*t.
-2*t*(t - 5)*(t - 4)*(t - 1)/5
Determine k, given that -k**4/5 + 2*k**3/5 + k**2/5 - 2*k/5 = 0.
-1, 0, 1, 2
Suppose -2*c**3 - 36*c**2 + 42*c + 76 = 0. Calculate c.
-19, -1, 2
Factor -t**3 + 93*t**2 - 1560*t + 7300.
-(t - 73)*(t - 10)**2
Find u such that -12*u**3 - 304*u**2 + 208*u = 0.
-26, 0, 2/3
Factor 4*p**4 + 2336*p**3 + 347992*p**2 + 2025312*p + 3006756.
4*(p + 3)**2*(p + 289)**2
Factor -2*m**4 - 390*m**3 - 19206*m**2 - 18818*m.
-2*m*(m + 1)*(m + 97)**2
Suppose -4*k**5/11 - 9*k**4/11 + 16*k**3/11 + 21*k**2/11 = 0. What is k?
-3, -1, 0, 7/4
Factor -5*w**5 - 20*w**4 + 130*w**3 - 220*w**2 + 155*w - 40.
-5*(w - 1)**4*(w + 8)
What is p in 3*p**5 - 52*p**4 - 45*p**3 + 150*p**2 + 212*p + 72 = 0?
-1, -2/3, 2, 18
Solve 2*z**2/13 + 17220*z/13 + 37066050/13 = 0.
-4305
Factor -4*u**2 + 844*u + 848.
-4*(u - 212)*(u + 1)
What is y in y**4/2 + 35*y**3/2 + 323*y**2/2 + 289*y/2 = 0?
-17, -1, 0
Solve -12*b**3 + 2264*b**2 - 3748*b + 1496 = 0 for b.
2/3, 1, 187
Factor -h**4 - 4*h**3.
-h**3*(h + 4)
Find u, given that 3*u**4/7 - 6*u**3 + 15*u**2 - 66*u/7 = 0.
0, 1, 2, 11
Solve -6*b**4 + 69*b**3 + 39*b**2 - 36*b = 0 for b.
-1, 0, 1/2, 12
Suppose 4*m**3 + 780*m**2 + 38412*m + 37636 = 0. Calculate m.
-97, -1
Factor k**2/3 + 44*k/3 + 28.
(k + 2)*(k + 42)/3
Let 3*g**3 + 126*g**2 - 135*g - 258 = 0. What is g?
-43, -1, 2
Factor -2*w**4 + 78*w**3 + 172*w**2 - 312*w - 656.
-2*(w - 41)*(w - 2)*(w + 2)**2
Suppose -2*h**5/5 - 8*h**4/5 - 8*h**3/5 = 0. Calculate h.
-2, 0
Factor -3*j**3 + 280*j**2 - 2361*j + 756.
-(j - 84)*(j - 9)*(3*j - 1)
What is a in 5*a**2 - 405 = 0?
-9, 9
Find l, given that 5*l**3 + 700*l**2 + 24500*l = 0.
-70, 0
Factor -z**2/2 - 193*z - 1140.
-(z + 6)*(z + 380)/2
Solve -3*d**2/8 - 35*d/2 - 23/2 = 0 for d.
-46, -2/3
Determine f, given that -14*f**5 + 360*f**4 - 3046*f**3 + 8172*f**2 + 2592*f = 0.
-2/7, 0, 8, 9
Factor 3*n**3 - 33*n**2 - 123*n + 585.
3*(n - 13)*(n - 3)*(n + 5)
Determine x so that 4*x**4 - 132*x**3 + 244*x**2 + 132*x - 248 = 0.
-1, 1, 2, 31
Let -3*m**3/8 + 9*m**2/2 - 27*m/2 + 12 = 0. What is m?
2, 8
Factor -5*i**2 + 35*i + 90.
-5*(i - 9)*(i + 2)
Factor -18150*r**4 + 18370*r**3 - 28549*r**2/6 + 167*r/3 - 1/6.
-(2*r - 1)**2*(165*r - 1)**2/6
Find q, given that -2*q**4/7 + 206*q**3/7 - 600*q**2/7 - 8*q/7 + 800/7 = 0.
-1, 2, 100
Factor n**4/2 + 11*n**3/2 - 51*n**2/2 - 131*n/2 - 35.
(n - 5)*(n + 1)**2*(n + 14)/2
Find g, given that -4*g**5/5 - 6*g**4 - 56*g**3/5 - 28*g**2/5 + 12*g/5 + 2 = 0.
-5, -1, 1/2
Let -v**4/2 - 3*v**3/2 + 9*v**2/2 - 5*v/2 = 0. What is v?
-5, 0, 1
Let 4*u**4 - 124*u**3 - 1020*u**2 - 1652*u - 760 = 0. What is u?
-5, -1, 38
Solve c**5/4 + 3*c**4/2 - 27*c**3/4 + c**2 + 9*c = 0 for c.
-9, -1, 0, 2
What is a in 36*a**5 -