*3/7.
-2*m**3*(m + 40)/7
Determine f, given that -3*f**2 - 39*f - 66 = 0.
-11, -2
Let -z**3/8 - 7*z**2/4 - 35*z/8 + 25/4 = 0. Calculate z.
-10, -5, 1
Factor 2*q**2/7 + 8*q - 858/7.
2*(q - 11)*(q + 39)/7
Factor q**4 - 6*q**3 - 27*q**2.
q**2*(q - 9)*(q + 3)
Factor 2*t**4/7 - 38*t**3/7 + 32*t**2 - 384*t/7.
2*t*(t - 8)**2*(t - 3)/7
Solve -5*f**4 + 35*f**3/3 + 55*f**2 + 55*f + 50/3 = 0.
-1, -2/3, 5
Find v such that 12*v**2 + 148*v + 1369/3 = 0.
-37/6
Factor -5*r**4 + 70*r**3 + 340*r**2 + 360*r.
-5*r*(r - 18)*(r + 2)**2
Solve -5*q**3 - 85*q**2 - 370*q - 440 = 0 for q.
-11, -4, -2
Suppose a**3/2 - 19*a**2 - 79*a/2 - 20 = 0. What is a?
-1, 40
Factor 2*d**5/5 - 14*d**4/5 + 22*d**3/5 - 2*d**2.
2*d**2*(d - 5)*(d - 1)**2/5
Solve -y**3/4 + 9*y**2/2 + 63*y/4 = 0.
-3, 0, 21
What is x in 2*x**3/5 - 16*x**2/5 + 8*x - 32/5 = 0?
2, 4
Factor -4*i**3 - 7872*i**2 - 3873024*i.
-4*i*(i + 984)**2
Factor 2*z**4/11 + 18*z**3/11.
2*z**3*(z + 9)/11
Find i such that 4*i**3 + 152*i**2 + 404*i - 560 = 0.
-35, -4, 1
Factor -r**4 - 4*r**3 + 6*r**2 + 4*r - 5.
-(r - 1)**2*(r + 1)*(r + 5)
Factor 3*d**4 + 18*d**3 + 36*d**2 + 30*d + 9.
3*(d + 1)**3*(d + 3)
What is y in 5*y**3/4 + 45*y**2/2 + 75*y - 250 = 0?
-10, 2
Factor -2*n**2/7 + 8*n/7 + 24/7.
-2*(n - 6)*(n + 2)/7
Suppose -2*b**2/3 + 10*b - 28/3 = 0. Calculate b.
1, 14
Suppose -2*c**2/11 - 26*c/11 + 60/11 = 0. Calculate c.
-15, 2
Factor 5*q**3/3 + 5*q**2 - 5*q/3 - 5.
5*(q - 1)*(q + 1)*(q + 3)/3
Suppose v**2/7 + 6*v/7 - 1 = 0. What is v?
-7, 1
Determine j, given that 34*j**2/3 - 94*j/3 - 220 = 0.
-55/17, 6
Determine q, given that -4*q**4 + 10*q**3 + 92*q**2 - 48*q = 0.
-4, 0, 1/2, 6
Let -2*k**5 - 18*k**4 - 52*k**3 - 68*k**2 - 42*k - 10 = 0. What is k?
-5, -1
Let l**2/3 + 202*l/3 + 10201/3 = 0. What is l?
-101
Find m, given that 2*m**2 - 26*m - 28 = 0.
-1, 14
Determine a so that -6*a**4 + 2*a**3 + 38*a**2 - 58*a + 24 = 0.
-3, 1, 4/3
Factor -14*u**2/9 - 50*u/9 + 8/3.
-2*(u + 4)*(7*u - 3)/9
Suppose -i**3 - 21*i**2 - 8*i + 240 = 0. Calculate i.
-20, -4, 3
Determine i, given that 5*i**2 - 20*i = 0.
0, 4
Find j such that 10*j**2 + 2366*j + 3760 = 0.
-235, -8/5
Solve -3*z**4/4 + 17*z**3/8 - 11*z**2/8 + z/4 = 0 for z.
0, 1/3, 1/2, 2
Suppose 25*y**3/2 - 43490*y**2 - 34798*y - 6960 = 0. What is y?
-2/5, 3480
Factor -j**4/2 + 19*j**3/2.
-j**3*(j - 19)/2
Solve -f**3/2 - 197*f**2/2 - 5088*f - 23040 = 0 for f.
-96, -5
Factor -f**2/3 - 35*f/3 - 250/3.
-(f + 10)*(f + 25)/3
Factor -116*o**3 - 228*o**2 + 8*o.
-4*o*(o + 2)*(29*o - 1)
Factor 2*m**4 + 168*m**3 + 3840*m**2 - 8192*m - 786432.
2*(m - 12)*(m + 32)**3
Factor -4*a**3 + 1404*a**2 - 135456*a + 2094256.
-4*(a - 166)**2*(a - 19)
Factor -p**4/3 + p**3/3 + 2*p**2/3.
-p**2*(p - 2)*(p + 1)/3
Factor -4*n**3/3 + 308*n**2/3 + 104*n.
-4*n*(n - 78)*(n + 1)/3
Let 2*g**4/3 + 56*g**3/3 + 52*g**2/3 - 56*g/3 - 18 = 0. What is g?
-27, -1, 1
Suppose -2*i**2/11 - 482*i/11 + 3472/11 = 0. What is i?
-248, 7
Factor -4*n**2 - 624*n - 620.
-4*(n + 1)*(n + 155)
Find q, given that -5*q**2 + 855*q - 850 = 0.
1, 170
Solve 4*p**5/3 + 68*p**4/3 + 76*p**3 + 268*p**2/3 + 104*p/3 = 0 for p.
-13, -2, -1, 0
Factor -2*i**2/5 - 28*i/5 + 64/5.
-2*(i - 2)*(i + 16)/5
Solve z**5 + 3*z**4 + 2*z**3 = 0.
-2, -1, 0
Find p, given that p**4 - 118*p**3 + 224*p**2 + 928*p = 0.
-2, 0, 4, 116
Determine k so that -2*k**5/3 - 32*k**4/3 + 12*k**3 + 32*k**2/3 - 34*k/3 = 0.
-17, -1, 0, 1
Determine j, given that 25*j**5/3 - 65*j**4 - 25*j**3/3 + 65*j**2 = 0.
-1, 0, 1, 39/5
Factor j**3/7 - 15*j**2/7.
j**2*(j - 15)/7
Determine l, given that 4*l**2 - 1136*l + 80656 = 0.
142
Solve -2*s**2/5 - 2646*s/5 = 0.
-1323, 0
Let 4*k**4 + 4*k**3 - 28*k**2 - 52*k - 24 = 0. Calculate k.
-2, -1, 3
Determine y so that 4*y**3/5 + 188*y**2/5 - 436*y + 1140 = 0.
-57, 5
Find f, given that f**4/5 - 3*f**3/5 - f**2/5 + 3*f/5 = 0.
-1, 0, 1, 3
Factor 5*v**3 + 45*v**2 + 130*v + 120.
5*(v + 2)*(v + 3)*(v + 4)
Factor -4*d**4 + 84*d**3 + 88*d**2.
-4*d**2*(d - 22)*(d + 1)
Solve 8*r**5/11 + 754*r**4/11 + 17*r**3 - 94*r**2/11 = 0.
-94, -1/2, 0, 1/4
Factor -35*g**4 + 130*g**3 - 100*g**2 - 40*g.
-5*g*(g - 2)**2*(7*g + 2)
Factor 4*w**5 - 32*w**4 + 64*w**3.
4*w**3*(w - 4)**2
Solve 2*a**2 - 2*a - 4 = 0 for a.
-1, 2
Factor o**2 - 25*o + 24.
(o - 24)*(o - 1)
Factor 4*z**4 + 16*z**3 - 64*z - 64.
4*(z - 2)*(z + 2)**3
Factor -w**2/4 - 869*w/4 - 217.
-(w + 1)*(w + 868)/4
Factor -4*a**3 - 22304*a**2 - 44596*a - 22296.
-4*(a + 1)**2*(a + 5574)
Find s such that -6*s**2 + 34*s + 12 = 0.
-1/3, 6
Solve -16*s**5 - 28*s**4 + 4*s**3 + 28*s**2 + 12*s = 0 for s.
-1, -3/4, 0, 1
Suppose 5*b**2 + 3605*b/4 + 225 = 0. What is b?
-180, -1/4
Factor -b**5 + 9*b**4 - 24*b**3 + 20*b**2.
-b**2*(b - 5)*(b - 2)**2
Determine u so that u**2 - 76*u = 0.
0, 76
Factor c**5 - 5*c**4 - 30*c**3 - 50*c**2 - 35*c - 9.
(c - 9)*(c + 1)**4
Determine g so that g**3 + 96*g**2 + 189*g + 94 = 0.
-94, -1
Solve 4*z**3 + 14*z**2 - 14*z - 24 = 0.
-4, -1, 3/2
Determine r so that -3*r**4 + 22*r**3 - 47*r**2 + 12*r + 36 = 0.
-2/3, 2, 3
Factor 5*u**3/4 + 285*u**2/4 - 585*u/4 + 295/4.
5*(u - 1)**2*(u + 59)/4
Factor -2*p**5 + 8*p**4 + 6*p**3 - 36*p**2.
-2*p**2*(p - 3)**2*(p + 2)
Find i, given that -3*i**3/5 - 3*i**2/5 + 363*i/5 + 363/5 = 0.
-11, -1, 11
Let 13*d**5/3 + 558*d**4 + 23908*d**3 + 1016950*d**2/3 - 79507*d = 0. What is d?
-43, 0, 3/13
Factor -t**3 + 7*t**2 - 7*t - 15.
-(t - 5)*(t - 3)*(t + 1)
Factor 50*q**3 - 1670*q**2 + 662*q - 66.
2*(q - 33)*(5*q - 1)**2
Solve l**5/2 - 245*l**4 + 59533*l**3/2 + 60270*l**2 + 30258*l = 0.
-1, 0, 246
Determine i so that 2*i**4 - 8*i**3 - 4*i**2 + 24*i + 18 = 0.
-1, 3
Factor -3*j**2 - 36*j - 96.
-3*(j + 4)*(j + 8)
Solve -r**5/2 + 4*r**4 - 11*r**3 + 14*r**2 - 17*r/2 + 2 = 0.
1, 4
Find v, given that -2*v**4 + 8*v**3 + 2*v**2 - 8*v = 0.
-1, 0, 1, 4
Determine m so that m**4/3 - 3*m**3 + 29*m**2/3 - 13*m + 6 = 0.
1, 2, 3
Suppose -6*k**4/17 - 50*k**3/17 - 46*k**2/17 + 74*k/17 + 28/17 = 0. Calculate k.
-7, -2, -1/3, 1
Determine a so that -2*a**5/5 + 2*a**4/5 + 4*a**3/5 - 4*a**2/5 - 2*a/5 + 2/5 = 0.
-1, 1
Factor -5*m**3 + 175*m**2 + 570*m.
-5*m*(m - 38)*(m + 3)
Let 3*u**4 - 18*u**3 + 12*u**2 + 18*u - 15 = 0. Calculate u.
-1, 1, 5
Determine s, given that -2*s**3/9 - 2116*s**2/9 + 8488*s/9 - 944 = 0.
-1062, 2
Solve 2*a**4 + 74*a**3 + 720*a**2 + 648*a = 0.
-18, -1, 0
Factor 123*w**2 + 111*w - 12.
3*(w + 1)*(41*w - 4)
Factor -40401*i**2/11 - 402*i/11 - 1/11.
-(201*i + 1)**2/11
Let w**2 + 1736*w + 753424 = 0. What is w?
-868
Let -2*b**5 - 18*b**4 + 42*b**3 - 22*b**2 = 0. What is b?
-11, 0, 1
Determine d so that 2*d**4 + 362*d**3 + 1424*d**2 + 1416*d = 0.
-177, -2, 0
Factor -5*s**4 + 1205*s**3 - 71995*s**2 - 73205*s.
-5*s*(s - 121)**2*(s + 1)
Suppose -2*h**5/3 + 102*h**4 - 5300*h**3 + 295000*h**2/3 - 250000*h = 0. Calculate h.
0, 3, 50
What is d in -7*d**4/2 - 165*d**3/2 - 1083*d**2/2 - 1199*d/2 + 363 = 0?
-11, -2, 3/7
Factor -f**4/4 + 33*f**3/4 - 31*f**2/4 - 33*f/4 + 8.
-(f - 32)*(f - 1)**2*(f + 1)/4
What is z in 2*z**2 + 24*z - 378 = 0?
-21, 9
Find s, given that 4*s**2 + 64*s - 68 = 0.
-17, 1
Find x such that -x**4 - 31*x**3 - 28*x**2 + 60*x = 0.
-30, -2, 0, 1
Determine l, given that -5*l**4 - 95*l**3 - 585*l**2 - 1305*l - 810 = 0.
-9, -6, -3, -1
What is h in -4*h**4 - 68*h**3 - 316*h**2 - 252*h = 0?
-9, -7, -1, 0
Let 5*m**3 - 45*m**2 + 75*m - 35 = 0. Calculate m.
1, 7
Factor 25*f**2 + 670*f - 135.
5*(f + 27)*(5*f - 1)
Suppose 3*t**2 + 51*t + 180 = 0. Calculate t.
-12, -5
Solve 16*g**5/9 - 26*g**4/3 - 146*g**3/9 + 424*g**2/3 - 2120*g/9 + 352/3 = 0.
-33/8, 1, 2, 4
Determine y so that -2*y**2/7 - 30*y/7 - 16 = 0.
-8, -7
Factor -4*l**2/5 + 68*l/5 - 64/5.
-4*(l - 16)*(l - 1)/5
Suppose -3*v**4/7 + 15*v**3/7 - 9*v**2/7 - 15*v/7 + 12/7 = 0. What is v?
-1, 1, 4
Suppose -3*r**5/2 - 37*r**4/2 - 78*r**3 - 120*r**2 - 32*r = 0. Calculate r.
-4, -1/3, 0
Let -h**2 - 39*h + 40 = 0. What is h?
-40, 1
Factor g**2/4 + 2753*g/4 + 688.
(g + 1)*(g + 2752)/4
Factor -u**2/2 + 11*u - 121/2.
-(u - 11)**2/2
Factor g**2/5 + 3*g/5 - 4/5.
(g - 1)*(g + 4)/5
Solve 4*a**2/7 - 464*a + 94192 = 0.
406
Factor 3*b**2 + 12*b + 12.
3*(b + 2)**2
Let -4*u**2 - 3464*u = 0. What is u?
-866, 0
Factor 2*j**4 + 22*j**3 + 18*j**2 - 238*j + 196.
2*(j - 2)*(j - 1)*(j + 7)**2
Factor -j**4 + 5*j**3 + 7*j**2 - 5*j - 6.
-(j - 6)*(j - 1)*(j + 1)**2
Find u, give