652*k**4/5 - 90984*k**3/5 - 242730*k**2 - 4287021*k/5 - 178746 = 0.
-31, -5, -2/9
Factor -2*a**2 + 194*a/11 + 36/11.
-2*(a - 9)*(11*a + 2)/11
Determine q so that -35*q**5 - 80*q**4 - 20*q**3 + 70*q**2 + 55*q + 10 = 0.
-1, -2/7, 1
What is q in 128*q**5/11 + 992*q**4/11 + 1208*q**3/11 + 2*q**2/11 - 292*q/11 + 50/11 = 0?
-25/4, -1, 1/4
Determine i, given that -2*i**4 - 114*i**3 - 1786*i**2 - 4590*i - 2916 = 0.
-27, -2, -1
Suppose x**5 - 21*x**4 + 123*x**3 - 187*x**2 + 84*x = 0. Calculate x.
0, 1, 7, 12
Solve 4*v**4 + 4*v**3 - 4*v**2 - 4*v = 0 for v.
-1, 0, 1
Suppose 3*w**4 - 18*w**3 + 39*w**2 - 36*w + 12 = 0. Calculate w.
1, 2
Solve -4*c**5 - 84*c**4 + 92*c**3 + 84*c**2 - 88*c = 0 for c.
-22, -1, 0, 1
Find v, given that -2*v**2/9 - 8*v/9 + 8/3 = 0.
-6, 2
Determine b, given that -4*b**5/5 + 34*b**4/5 - 8*b**3 - 4*b**2 + 44*b/5 - 14/5 = 0.
-1, 1/2, 1, 7
Find w such that -2*w**3 - 20*w**2 + 26*w + 44 = 0.
-11, -1, 2
Factor -4*u**3 + 20*u**2 + 564*u + 540.
-4*(u - 15)*(u + 1)*(u + 9)
Factor -2*p**3/7 + 38*p**2/7 + 284*p/7 + 400/7.
-2*(p - 25)*(p + 2)*(p + 4)/7
Solve 9*g**4/4 + 53*g**3/2 + 345*g**2/4 + 74*g - 21 = 0 for g.
-7, -3, -2, 2/9
Find r such that r**2 + 33*r - 70 = 0.
-35, 2
What is t in 146*t**4 + 442*t**3 + 450*t**2 + 158*t + 4 = 0?
-1, -2/73
Let 175*o**4/2 + 220*o**3 - 917*o**2/2 + 237*o - 36 = 0. Calculate o.
-4, 2/7, 3/5
Factor -d**3 - 14*d**2 - 56*d - 64.
-(d + 2)*(d + 4)*(d + 8)
Factor 5*o**2 - 5280*o + 1393920.
5*(o - 528)**2
Solve -3*j**4 + 21*j**3 - 33*j**2 + 15*j = 0.
0, 1, 5
Factor -2*r**4/3 - 46*r**3/3 - 86*r**2/3 - 14*r.
-2*r*(r + 1)**2*(r + 21)/3
Solve 3*y**4 - 663*y**3 - 2007*y**2 - 2013*y - 672 = 0 for y.
-1, 224
Suppose -8*t**4/13 + 54*t**3/13 - 100*t**2/13 + 48*t/13 = 0. Calculate t.
0, 3/4, 2, 4
Solve -2*f**4/3 + 70*f**3 - 272*f**2 + 808*f/3 = 0 for f.
0, 2, 101
Factor -15*t**2 + 4325*t - 1440.
-5*(t - 288)*(3*t - 1)
Factor 140*k**2 - 845*k + 30.
5*(k - 6)*(28*k - 1)
Factor r**2 + 26*r - 27.
(r - 1)*(r + 27)
Factor 2*g**4/7 + 6*g**3 + 114*g**2/7 + 110*g/7 + 36/7.
2*(g + 1)**3*(g + 18)/7
Factor 2*b**2/9 + 22*b/3.
2*b*(b + 33)/9
Find o such that -2*o**2/11 + 34*o/11 + 336/11 = 0.
-7, 24
Factor 3*i**3/8 + 132*i**2 - 3*i/8 - 132.
3*(i - 1)*(i + 1)*(i + 352)/8
Solve -3*z**2/7 + 102*z/7 - 99/7 = 0 for z.
1, 33
Factor 3*x**3/2 - 9*x**2 - 54*x + 324.
3*(x - 6)**2*(x + 6)/2
Factor 2*f**4/9 + 64*f**3/9 + 40*f**2/3.
2*f**2*(f + 2)*(f + 30)/9
Find t such that t**2/3 + 1546*t/3 + 597529/3 = 0.
-773
Factor -21*c**2/2 + 33*c/2 - 6.
-3*(c - 1)*(7*c - 4)/2
Let -j**4 + 156*j**3 - 6798*j**2 + 54604*j - 47961 = 0. What is j?
1, 9, 73
Let 3*v**5 + 111*v**4 - 243*v**3 - 339*v**2 + 480*v + 468 = 0. What is v?
-39, -1, 2
Let -8*l**4 + 84*l**3 - 40*l**2 = 0. Calculate l.
0, 1/2, 10
Solve 18*i**5/7 - 58*i**4/7 + 12*i**3/7 = 0.
0, 2/9, 3
Solve -2*a**5 - 44*a**4 - 336*a**3 - 980*a**2 - 686*a = 0.
-7, -1, 0
Solve -4*n**5 + 36*n**4 - 92*n**3 + 28*n**2 + 96*n - 64 = 0 for n.
-1, 1, 4
Determine m so that 5*m**2 + 305*m - 310 = 0.
-62, 1
Suppose 2*z**5 + 28*z**4 - 66*z**3 - 28*z**2 + 64*z = 0. Calculate z.
-16, -1, 0, 1, 2
Factor -v**4/8 - v**3/8 + 21*v**2/8 + 41*v/8 + 5/2.
-(v - 5)*(v + 1)**2*(v + 4)/8
Factor 5*i**4 - 380*i**3 - 775*i**2 - 390*i.
5*i*(i - 78)*(i + 1)**2
Determine p, given that -5*p**4 - 25*p**3 + 340*p**2 - 900*p + 720 = 0.
-12, 2, 3
Factor 3*s**3/5 - 3*s**2/5 - 18*s/5.
3*s*(s - 3)*(s + 2)/5
Factor 62*n**4/15 - 562*n**3/15 + 114*n**2 - 594*n/5 + 36/5.
2*(n - 3)**3*(31*n - 2)/15
Let -2*s**4 + 172*s**3 - 4008*s**2 + 26452*s + 30634 = 0. What is s?
-1, 17, 53
Suppose -23*p**4/2 - 102*p**3 - 525*p**2/2 - 148*p + 24 = 0. Calculate p.
-4, -1, 3/23
Factor u**3 - 9*u**2 + 11*u + 21.
(u - 7)*(u - 3)*(u + 1)
Solve 4*w**2/3 - 6576*w + 19724/3 = 0.
1, 4931
Factor -2*n**4 + 24*n**3 - 54*n**2 - 80*n.
-2*n*(n - 8)*(n - 5)*(n + 1)
Determine j so that -14*j**4/3 - 100*j**3/9 - 38*j**2/9 + 20*j/9 = 0.
-5/3, -1, 0, 2/7
Let 3*f**3/4 + 63*f**2 + 495*f/4 + 123/2 = 0. What is f?
-82, -1
Solve -3*x**5/2 + 75*x**4/2 - 495*x**3/2 - 1215*x**2/2 + 10935*x - 26244 = 0 for x.
-6, 4, 9
Let b**2/4 + 53*b/4 + 315/2 = 0. What is b?
-35, -18
Suppose 2*p**3 - 1906*p**2 - 1908*p = 0. Calculate p.
-1, 0, 954
Factor -t**2/7 + 2*t/7 + 15/7.
-(t - 5)*(t + 3)/7
Factor 2*k**4 + 70*k**3 + 66*k**2 - 70*k - 68.
2*(k - 1)*(k + 1)**2*(k + 34)
Factor -4*g**3 - 388*g**2 - 4844*g - 16268.
-4*(g + 7)**2*(g + 83)
Find q such that 1634*q**3 + 3592*q**2 + 664*q + 32 = 0.
-2, -2/19, -4/43
Suppose w**4 - 2*w**3 + w**2 = 0. Calculate w.
0, 1
Factor -x**3/9 + 4*x**2/3 - 41*x/9 + 10/3.
-(x - 6)*(x - 5)*(x - 1)/9
Suppose 2*z**3/17 - 70*z**2/17 + 176*z/17 + 8712/17 = 0. Calculate z.
-9, 22
Factor -r**3/5 + 5*r**2 - 22*r/5 - 48/5.
-(r - 24)*(r - 2)*(r + 1)/5
Factor 9*q**2 - 6645*q + 2214.
3*(q - 738)*(3*q - 1)
Factor -v**4/5.
-v**4/5
Factor -3*l**2/5 + 36*l/5 + 39/5.
-3*(l - 13)*(l + 1)/5
Factor 8*b**3 - 20*b**2 + 17*b/2 - 1.
(b - 2)*(4*b - 1)**2/2
Factor -4*j**4 + 56*j**3 - 260*j**2 + 400*j.
-4*j*(j - 5)**2*(j - 4)
Factor 34*z**3/7 - 108*z**2/7 + 86*z/7 - 12/7.
2*(z - 2)*(z - 1)*(17*z - 3)/7
Factor -3*o**2/2 - 447*o/2 - 441.
-3*(o + 2)*(o + 147)/2
Suppose q**3/5 - q**2/5 - q - 3/5 = 0. What is q?
-1, 3
Factor -2*v**3/9 - 182*v**2/3 + 5488*v/3 - 117992/9.
-2*(v - 14)**2*(v + 301)/9
Solve w**4/10 + 3*w**3/10 - 43*w**2/10 + 93*w/10 - 27/5 = 0 for w.
-9, 1, 2, 3
Find z such that 8*z**5/5 - 152*z**4/15 - 718*z**3/15 - 334*z**2/5 - 578*z/15 - 118/15 = 0.
-1, -1/2, 59/6
Find z, given that -1288*z**4 - 12058*z**3 - 4166*z**2 + 268*z + 144 = 0.
-9, -2/7, -1/4, 4/23
Find y such that -y**4/4 + 19*y**3/4 + 99*y**2/4 - 151*y/4 - 115/2 = 0.
-5, -1, 2, 23
Factor 4*h**2 - 432*h - 436.
4*(h - 109)*(h + 1)
Factor -z**2 + 244*z + 492.
-(z - 246)*(z + 2)
Factor -3*t**5 + 18*t**4 + 45*t**3 + 24*t**2.
-3*t**2*(t - 8)*(t + 1)**2
Determine o, given that -o**3/6 - o**2/6 + 49*o/6 + 49/6 = 0.
-7, -1, 7
Suppose -4*o**5 + 152*o**4 - 1252*o**3 + 3856*o**2 - 4544*o + 1792 = 0. Calculate o.
1, 4, 28
Let -2*s**4 - 768*s**3 - 73728*s**2 = 0. Calculate s.
-192, 0
Suppose -5*c**2 + 2075*c + 4170 = 0. What is c?
-2, 417
Factor -4*g**3 - 372*g**2 + 5796*g - 20972.
-4*(g - 7)**2*(g + 107)
Factor 2*h**2 + 52*h + 50.
2*(h + 1)*(h + 25)
Factor 4*l**2 - 16*l - 84.
4*(l - 7)*(l + 3)
Determine b, given that 30*b**2/11 + 5052*b/11 + 2016/11 = 0.
-168, -2/5
Find p such that p**4/5 + 17*p**3/5 - p**2/5 - 17*p/5 = 0.
-17, -1, 0, 1
Factor -4*s**2 - 124*s + 128.
-4*(s - 1)*(s + 32)
Factor -h**3 + 26*h**2 - 113*h - 140.
-(h - 20)*(h - 7)*(h + 1)
Find p such that -2*p**2/9 + 40*p/9 + 46/3 = 0.
-3, 23
Find u such that 2*u**4/5 + 2844*u**3/5 + 1005338*u**2/5 - 4055544*u/5 + 4066952/5 = 0.
-713, 2
Determine x so that -3*x**4 - 966*x**3 + 969*x**2 = 0.
-323, 0, 1
Factor 2*k**2 - 408*k + 20808.
2*(k - 102)**2
Factor k**2 + 42*k + 185.
(k + 5)*(k + 37)
Solve 3*o**3 + 15*o**2 - 132*o + 180 = 0.
-10, 2, 3
Find x such that 2*x**2/3 + 70*x/3 = 0.
-35, 0
Factor k**4/9 - 2*k**3/3 + 13*k**2/9 - 4*k/3 + 4/9.
(k - 2)**2*(k - 1)**2/9
Factor -q**3/4 - 51*q**2/4 - 675*q/4 - 625/4.
-(q + 1)*(q + 25)**2/4
Solve -4*d**2 - 10108*d - 10104 = 0.
-2526, -1
Factor -4*q**3 + 64*q**2 - 208*q + 192.
-4*(q - 12)*(q - 2)**2
Factor -a**4/2 + 2*a**3 + 3*a**2 - 18*a + 27/2.
-(a - 3)**2*(a - 1)*(a + 3)/2
Suppose -4*y**5/5 + 64*y**4/5 - 64*y**3 + 512*y**2/5 = 0. Calculate y.
0, 4, 8
Suppose -h**2/3 - 17*h - 50/3 = 0. Calculate h.
-50, -1
Suppose -6724*i**4 + 13366*i**3 - 26241*i**2/4 - 163*i/2 - 1/4 = 0. Calculate i.
-1/164, 1
What is t in -8*t**5/9 - 70*t**4/3 - 628*t**3/3 - 6698*t**2/9 - 2920*t/3 - 200 = 0?
-10, -3, -1/4
Factor -2*y**4/9 + 10*y**3/9 + 64*y**2/9 + 8*y.
-2*y*(y - 9)*(y + 2)**2/9
What is j in -12*j**5 + 27*j**4 + 6*j**3 - 27*j**2 + 6*j = 0?
-1, 0, 1/4, 1, 2
Suppose -3*c**3 + 354*c**2 - 2016*c = 0. What is c?
0, 6, 112
What is f in 3*f**2 + 453*f + 4230 = 0?
-141, -10
Solve x**5/5 - 12*x**4/5 + 4*x**3 + 2*x**2/5 - 21*x/5 + 2 = 0.
-1, 1, 10
Factor -3*b**2 + 21*b.
-3*b*(b - 7)
Determine k, given that -162*k**4 + 414*k**3 - 116*k**2 - 120*k - 16 = 0.
-2/9, 1, 2
Find g such that 2*g**3/9 + 1454*g**2 + 3171174*g + 2305443498 = 0.
-2181
Determine t, given that -3*t**3 + 57*t**2 - 297*t + 243 = 0.
1, 9
Suppose 12*m**4/13 + 202*m**3/13 + 112*m**2/13 - 808*m/13 - 640/13 = 0