 q.
-1, 3/16
Factor 6*c**2 - 514*c.
2*c*(3*c - 257)
Determine p so that 3*p**3 + 456*p**2 + 16863*p - 35574 = 0.
-77, 2
Factor -m**3 + 252*m**2 + 253*m.
-m*(m - 253)*(m + 1)
Factor -2*g**2/7 - 768*g/7 - 766/7.
-2*(g + 1)*(g + 383)/7
What is r in 4*r**5 + 128*r**4 + 436*r**3 - 392*r**2 - 1600*r - 896 = 0?
-28, -4, -1, 2
What is q in -21*q**5 - 267*q**4 - 1119*q**3 - 1737*q**2 - 540*q + 324 = 0?
-6, -3, -1, 2/7
Determine m so that -m**4/4 - 151*m**3/2 - 22497*m**2/4 + 11476*m - 5776 = 0.
-152, 1
Factor -g**3 - 248*g**2.
-g**2*(g + 248)
Suppose -484*x**3 - 2024*x**2/7 + 2432*x/7 + 1536/7 = 0. Calculate x.
-8/11, 6/7
Determine o, given that 2*o**5/3 - 44*o**4/3 + 278*o**3/3 - 356*o**2/3 - 280*o/3 + 400/3 = 0.
-1, 1, 2, 10
Factor 5*h**2 - 1340*h + 89780.
5*(h - 134)**2
Suppose 5*w**2 - 115*w - 120 = 0. What is w?
-1, 24
Factor -2*f**3 - 30*f**2 - 46*f + 78.
-2*(f - 1)*(f + 3)*(f + 13)
What is y in -y**4/2 + 4*y**3 - 5*y**2/2 - 19*y - 12 = 0?
-1, 4, 6
Let -2*f**2 + 312*f - 12168 = 0. Calculate f.
78
Factor 3*w**3 - 24*w**2 + 63*w - 54.
3*(w - 3)**2*(w - 2)
Determine s so that -s**4 + 2234*s**3 - 1245453*s**2 - 2497612*s - 1249924 = 0.
-1, 1118
Suppose 2*c**5/13 - 10*c**4/13 - 28*c**3/13 - 4*c**2/13 + 2*c + 14/13 = 0. Calculate c.
-1, 1, 7
Factor -20*x**3 - 11285*x**2 - 25300*x - 5620.
-5*(x + 2)*(x + 562)*(4*x + 1)
Factor -t**4/3 - 23*t**3/3 - 21*t**2 - 61*t/3 - 20/3.
-(t + 1)**3*(t + 20)/3
Determine t so that t**3/9 + 62*t**2/9 + 121*t/9 + 20/3 = 0.
-60, -1
Factor o**3/4 - 3*o/4 + 1/2.
(o - 1)**2*(o + 2)/4
Solve 2*w**5/7 - 80*w**4/7 + 946*w**3/7 - 2956*w**2/7 + 3384*w/7 - 1296/7 = 0 for w.
1, 2, 18
Factor -5*x**2 + 1460*x - 2900.
-5*(x - 290)*(x - 2)
Factor -2*n**2/9 - 58*n/9 + 140/3.
-2*(n - 6)*(n + 35)/9
Determine b so that 3*b**2 + 81*b - 84 = 0.
-28, 1
Let -5*r**3 - 10*r**2 + 40*r = 0. What is r?
-4, 0, 2
Let -2*t**5/13 + 132*t**4/13 + 14*t**3/13 - 72*t**2 + 792*t/13 = 0. What is t?
-3, 0, 1, 2, 66
Solve -2*i**3 + 24*i**2 - 40*i = 0.
0, 2, 10
Solve -24*t**2/13 + 3910*t/13 + 326/13 = 0 for t.
-1/12, 163
Find p such that 2116*p**2/3 + 92*p + 3 = 0.
-3/46
Let 2*i**3/5 - 132*i**2/5 + 2904*i/5 - 21296/5 = 0. What is i?
22
What is b in b**4/8 - 27*b**3/4 + 669*b**2/8 + 217*b - 294 = 0?
-3, 1, 28
Factor -5*g**2 + 160*g - 560.
-5*(g - 28)*(g - 4)
Factor b**2/4 + 9*b/2.
b*(b + 18)/4
Determine p, given that -p**3 - 25*p**2 + 248*p - 528 = 0.
-33, 4
Find z such that -2*z**2 + 120*z - 1792 = 0.
28, 32
Suppose 338*p**5/9 + 2522*p**4/9 + 4828*p**3/9 + 3532*p**2/9 + 326*p/3 + 10 = 0. What is p?
-5, -1, -3/13
Find d such that 2*d**2/13 + 76*d/13 + 74/13 = 0.
-37, -1
Factor -a**4 - 92*a**3 - 438*a**2 - 252*a + 783.
-(a - 1)*(a + 3)**2*(a + 87)
Suppose -5*c**4 + 45*c**3 + 5*c**2 - 45*c = 0. Calculate c.
-1, 0, 1, 9
Let 10*d**5/3 + 19*d**4/2 + 29*d**3/6 - 2*d**2 - 2*d/3 = 0. Calculate d.
-2, -1, -1/4, 0, 2/5
Solve y**3 - 30*y**2 + 153*y - 216 = 0.
3, 24
Determine z, given that -98*z**4 + 8372*z**3 - 176394*z**2 - 102856*z - 14792 = 0.
-2/7, 43
Factor y**4 - 5*y**3 - y**2 + 17*y + 12.
(y - 4)*(y - 3)*(y + 1)**2
Determine g so that -7*g**3 - 629*g**2/4 - 70*g + 33 = 0.
-22, -3/4, 2/7
Suppose 2*x**5/5 + 34*x**4/5 = 0. What is x?
-17, 0
Find y such that 3*y**3 - 6*y**2 - 12*y + 24 = 0.
-2, 2
What is c in c**3 - c**2 - 20*c = 0?
-4, 0, 5
Factor s**4 + 48*s**3/5 - 28*s**2 + 48*s/5.
s*(s - 2)*(s + 12)*(5*s - 2)/5
Solve -48*z**3 + 560*z**2 + 196*z - 48 = 0.
-1/2, 1/6, 12
What is z in -3*z**2 - 219*z + 684 = 0?
-76, 3
Factor 6*d**2 + 81*d - 42.
3*(d + 14)*(2*d - 1)
Determine m so that -3*m**5/7 - 51*m**4/7 - 309*m**3/7 - 717*m**2/7 - 120*m/7 + 1200/7 = 0.
-5, -4, 1
Suppose 2*y**2/9 + 208*y/9 = 0. What is y?
-104, 0
Determine z, given that z**5/6 - 7*z**3/6 - z**2/3 + 2*z + 4/3 = 0.
-2, -1, 2
Suppose c**2/5 - 10*c - 104/5 = 0. Calculate c.
-2, 52
Let 8*k**4/3 - 3756*k**3 - 3757*k**2/2 - 1409*k/6 = 0. What is k?
-1/4, 0, 1409
Find a, given that -5*a**3 + 45*a**2 + 50*a = 0.
-1, 0, 10
Factor -5625*s**2/2 - 300*s - 8.
-(75*s + 4)**2/2
Solve -2*g**3 + 2*g = 0.
-1, 0, 1
Factor -k**2/4 + 3905*k/2 - 15249025/4.
-(k - 3905)**2/4
Factor -177*i**3 + 5835*i**2 + 6216*i + 204.
-3*(i - 34)*(i + 1)*(59*i + 2)
Let 4*t**3 - 468*t**2 - 1920*t - 1936 = 0. Calculate t.
-2, 121
Factor 864*q**3 + 13392*q**2 + 69192*q + 119164.
4*(6*q + 31)**3
Solve -2*p**2 - 10*p + 28 = 0 for p.
-7, 2
Factor 81*i**4 + 12114*i**3 + 450229*i**2 - 201900*i + 22500.
(i + 75)**2*(9*i - 2)**2
Factor 3*f**4/2 - 6*f**3 - 3*f**2 + 18*f + 27/2.
3*(f - 3)**2*(f + 1)**2/2
Factor 4*f**2 - 1236*f - 1240.
4*(f - 310)*(f + 1)
Factor 98*o**3/11 + 70*o**2/11 + 12*o/11.
2*o*(7*o + 2)*(7*o + 3)/11
Factor -95*a**2 - 158*a - 48.
-(5*a + 2)*(19*a + 24)
Suppose 2*d**3 - 130*d**2 + 1118*d - 990 = 0. What is d?
1, 9, 55
Determine a, given that a**4/6 - 328*a**3 + 215168*a**2 - 141150208*a/3 = 0.
0, 656
Factor 8*o**4 + 50*o**3 - 204*o**2 - 54*o.
2*o*(o - 3)*(o + 9)*(4*o + 1)
What is w in 12*w**4 + 106*w**3 + 284*w**2 + 290*w + 100 = 0?
-5, -2, -1, -5/6
Factor -16*c**3 + 36*c**2 + 40*c - 12.
-4*(c - 3)*(c + 1)*(4*c - 1)
Solve -10*n**3 - 21*n**2 - 2*n = 0 for n.
-2, -1/10, 0
Suppose -2*j**5/11 - 12*j**4/11 + 6*j**3/11 + 112*j**2/11 + 96*j/11 = 0. Calculate j.
-4, -1, 0, 3
Find y, given that 3*y**3 + 123*y**2 - 396*y = 0.
-44, 0, 3
Factor -3*j**4 - 582*j**3 - 29367*j**2 - 110580*j - 108300.
-3*(j + 2)**2*(j + 95)**2
Factor -3*n**5 - 21*n**4 - 18*n**3.
-3*n**3*(n + 1)*(n + 6)
Factor -3*v**2/2 + 93*v/2 + 333.
-3*(v - 37)*(v + 6)/2
Factor 3*w**2 + 600*w - 6300.
3*(w - 10)*(w + 210)
Factor 2*z**2/7 + 2384*z/7 + 710432/7.
2*(z + 596)**2/7
Let -s**3/2 + s**2 + 3*s/2 = 0. Calculate s.
-1, 0, 3
What is f in 25*f**4 - 98*f**3 + 117*f**2 - 40*f - 4 = 0?
-2/25, 1, 2
Factor 18609625*j**4 + 92837450*j**3 - 1052580*j**2 + 3974*j - 5.
(j + 5)*(265*j - 1)**3
Factor 7*u**3/3 - 13*u**2 + 17*u/3 + 5.
(u - 5)*(u - 1)*(7*u + 3)/3
Solve -2*a**5 - 196*a**4/5 + 362*a**3 - 4892*a**2/5 + 984*a - 1296/5 = 0 for a.
-27, 2/5, 2, 3
Let -4*d**4/5 + 12*d**3 - 28*d**2 - 12*d + 144/5 = 0. Calculate d.
-1, 1, 3, 12
Factor -2*t**3 + 14*t**2 - 14*t - 30.
-2*(t - 5)*(t - 3)*(t + 1)
Let 2*y**3/15 - 62*y**2/15 + 4*y = 0. Calculate y.
0, 1, 30
Solve -4*q**4/3 - 2*q**3 + 4*q**2 + 10*q/3 - 4 = 0 for q.
-2, -3/2, 1
Determine h, given that -h**2 - 59*h + 60 = 0.
-60, 1
Factor -4*u**4 - 16*u**3 + 84*u**2 + 400*u + 400.
-4*(u - 5)*(u + 2)**2*(u + 5)
Determine p, given that -p**3/8 + 11*p**2/8 - 19*p/8 + 9/8 = 0.
1, 9
Factor 3*f**5/2 - 405*f**4 + 26100*f**3 + 166440*f**2 + 339480*f + 228528.
3*(f - 138)**2*(f + 2)**3/2
Factor -4*x**3 - 68*x**2 - 320*x - 400.
-4*(x + 2)*(x + 5)*(x + 10)
Solve 2*v**3/3 + 14*v**2 - 1682*v/3 - 574 = 0 for v.
-41, -1, 21
Let -2*y**2 - 28*y - 48 = 0. Calculate y.
-12, -2
Solve -h**3 + 660*h**2 + 3991*h + 3330 = 0.
-5, -1, 666
Suppose -2*h**4 + 24*h**3 - 108*h**2 + 216*h - 162 = 0. What is h?
3
Solve 2*p**5/11 + 36*p**4/11 - 40*p**3/11 - 36*p**2/11 + 38*p/11 = 0 for p.
-19, -1, 0, 1
Suppose -294*h**5 - 2037*h**4 + 207*h**3 + 408*h**2 - 84*h = 0. Calculate h.
-7, -1/2, 0, 2/7
Determine i so that i**4/2 - 13*i**3/2 + 41*i**2/2 - 47*i/2 + 9 = 0.
1, 2, 9
Determine w so that -25*w**4/2 - 1051*w**3/6 + 61*w**2/6 + 1051*w/6 + 7/3 = 0.
-14, -1, -1/75, 1
Suppose -3*l**2/8 + 489*l/8 + 123/2 = 0. What is l?
-1, 164
Factor 4*x**3 + 24*x**2 - 384*x + 896.
4*(x - 4)**2*(x + 14)
Solve j**2/4 - 25*j/4 + 6 = 0.
1, 24
Determine d so that -9*d**4/2 - 15*d**3/2 + 51*d**2 + 36*d = 0.
-4, -2/3, 0, 3
Factor -2*n**4/5 + 244*n**3/5.
-2*n**3*(n - 122)/5
Find g, given that 2*g**4/7 + 744*g**3/7 - 214*g**2 - 744*g/7 + 1496/7 = 0.
-374, -1, 1, 2
Factor -5*v**2 - 220*v - 2240.
-5*(v + 16)*(v + 28)
Factor -4*d**4 + 20*d**3 - 24*d**2.
-4*d**2*(d - 3)*(d - 2)
Suppose 2*w**3/15 + 26*w**2/15 + 16*w/3 + 24/5 = 0. Calculate w.
-9, -2
Factor -u**2 + 1169*u - 1168.
-(u - 1168)*(u - 1)
Factor w**3/2 + 111*w**2.
w**2*(w + 222)/2
Find g, given that g**4/8 - g**3/2 + 5*g**2/8 - g/4 = 0.
0, 1, 2
Determine f, given that -2*f**3 - 122*f**2 - 678*f - 990 = 0.
-55, -3
Factor 2*g**5 + 182*g**4.
2*g**4*(g + 91)
Let -d**5 - 4*d**4 - d**3 + 6*d**2 = 0. Calculate d.
-3, -2, 0, 1
What is h in h**3/4 + 23*h**2/4 - 166*h + 160 = 0?
-40, 1, 16
Factor 14*i**2 - 10*i - 4.
2*(i - 1)*(7*i + 2)
Determine w, given th