 45)*(q - 1)*(q + 11)**2
Factor -27*g**2 - 276*g - 60.
-3*(g + 10)*(9*g + 2)
Factor -21*c**3/2 + 6*c**2 + 9*c/2.
-3*c*(c - 1)*(7*c + 3)/2
Factor 11*k**4 - 277*k**3 + 2283*k**2 - 6335*k + 1078.
(k - 11)*(k - 7)**2*(11*k - 2)
Solve p**2/9 + 89*p/9 + 140/3 = 0 for p.
-84, -5
Find q such that q**3/5 + 4317*q**2/5 + 932256*q + 4656964/5 = 0.
-2158, -1
Find j, given that -2*j**3/3 - 28*j**2/3 + 374*j/3 - 920/3 = 0.
-23, 4, 5
Factor 3*o**3/4 + 3*o**2 + 3*o.
3*o*(o + 2)**2/4
Factor -4*m**2/5 + 116*m + 584/5.
-4*(m - 146)*(m + 1)/5
Factor -4*k**3 + 44*k**2 - 104*k + 64.
-4*(k - 8)*(k - 2)*(k - 1)
Let -4*q**3 - 8*q**2 + 16*q + 32 = 0. Calculate q.
-2, 2
Factor 2*s**2 + 8*s + 8.
2*(s + 2)**2
Factor n**2/8 - n/2.
n*(n - 4)/8
Suppose -2*n**5/3 - 268*n**4/3 - 8138*n**3/3 + 56288*n**2/3 - 87080*n/3 + 39200/3 = 0. Calculate n.
-70, 1, 4
Factor 64*j**4 + 69936*j**3 + 52428*j**2 + 13105*j + 1092.
(j + 1092)*(4*j + 1)**3
Let -b**3 - 126*b**2 - 4092*b - 7688 = 0. What is b?
-62, -2
Find s, given that 4*s**2 + 72*s + 224 = 0.
-14, -4
Solve -104*k**2/3 - 106*k/3 - 2/3 = 0 for k.
-1, -1/52
Factor 2*a**2/7 + 54*a/7.
2*a*(a + 27)/7
Factor 8*z**2 + 210*z + 52.
2*(z + 26)*(4*z + 1)
Factor 3*h**4/5 - 9*h**3/5 - 12*h**2/5.
3*h**2*(h - 4)*(h + 1)/5
Determine b so that 3*b**4/2 - 1407*b**3 - 8478*b**2 - 16980*b - 11328 = 0.
-2, 944
Solve -9*j**5 - 204*j**4 - 1752*j**3 - 6930*j**2 - 11775*j - 5250 = 0.
-7, -5, -2/3
Determine h, given that h**5/2 - 2*h**4 + 3*h**3/2 = 0.
0, 1, 3
Solve -2*i**3/5 + 6*i/5 - 4/5 = 0.
-2, 1
Suppose -s**3/3 + 46*s**2/3 = 0. Calculate s.
0, 46
Factor 3*h**2 - 5520*h + 2539200.
3*(h - 920)**2
What is t in -2*t**3/7 - 56*t**2 - 778*t/7 - 388/7 = 0?
-194, -1
Factor -u**2/4 - 15*u/4 - 13/2.
-(u + 2)*(u + 13)/4
Factor -2*o**2/7 - 90*o/7 + 188/7.
-2*(o - 2)*(o + 47)/7
Suppose p**4/2 + 47*p**3/2 - 100*p**2 + 102*p = 0. What is p?
-51, 0, 2
Determine a so that -242*a**5 - 6780*a**4/7 - 6792*a**3/7 - 16*a**2/7 = 0.
-2, -2/847, 0
Suppose -9*b**2 + 183*b + 126 = 0. Calculate b.
-2/3, 21
Solve 7*z**2/2 + 370*z + 525/2 = 0.
-105, -5/7
Solve b**3/8 + 7*b**2/4 + 25*b/8 + 3/2 = 0 for b.
-12, -1
Suppose v**2/4 + 3*v/2 - 4 = 0. Calculate v.
-8, 2
Let 6*i**4/13 - 10*i**3 + 678*i**2/13 + 330*i/13 - 484/13 = 0. Calculate i.
-1, 2/3, 11
Solve 28*y**3/3 + 122*y**2/3 + 38*y/3 - 8/3 = 0.
-4, -1/2, 1/7
Factor x**3/5 + 1484*x**2/5 + 549077*x/5 - 1104098/5.
(x - 2)*(x + 743)**2/5
Suppose -s**2 - 1024*s - 262144 = 0. What is s?
-512
Determine u, given that u**5 - 2*u**4 - 5*u**3 + 10*u**2 + 4*u - 8 = 0.
-2, -1, 1, 2
Let -3*p**2/4 + 33*p/4 + 9 = 0. What is p?
-1, 12
Find b such that -5*b**4 - 64*b**3 - 208*b**2 - 128*b = 0.
-8, -4, -4/5, 0
Determine g so that -2*g**3/11 - 4908*g**2/11 - 4014744*g/11 - 1094686864/11 = 0.
-818
Determine a so that a**4/3 - 4*a**3/3 - a**2/3 + 16*a/3 - 4 = 0.
-2, 1, 2, 3
Suppose 16*k**5/15 + 24*k**4/5 - 76*k**3/15 - 202*k**2/15 - 38*k/5 - 4/3 = 0. Calculate k.
-5, -1/2, 2
Determine w so that 2*w**2/11 + 4*w/11 + 2/11 = 0.
-1
Factor 325*v**2 - 645*v - 10.
5*(v - 2)*(65*v + 1)
Determine p so that 605*p**2 + 1215*p + 10 = 0.
-2, -1/121
Determine o, given that o**2 + 12*o - 13 = 0.
-13, 1
Factor 84*p**4 - 328*p**3 + 304*p**2 + 32*p.
4*p*(p - 2)**2*(21*p + 2)
Suppose m**2/11 - 450*m/11 + 50625/11 = 0. Calculate m.
225
Factor 2*h**2 + 44*h + 242.
2*(h + 11)**2
Let 36*q**5 + 192*q**4 + 184*q**3 - 48*q**2 - 60*q + 16 = 0. What is q?
-4, -1, 1/3
Solve 2*v**3 + 24*v**2 - 54*v + 28 = 0.
-14, 1
Suppose -5*i**3 - 15*i**2 - 10*i = 0. Calculate i.
-2, -1, 0
Factor -2*z**3/5 - 16*z**2 - 714*z/5 + 1764/5.
-2*(z - 2)*(z + 21)**2/5
Suppose -5*t**2 - 750*t + 8000 = 0. What is t?
-160, 10
Factor 3*q**3/5 + 153*q**2 + 49149*q/5 + 48387/5.
3*(q + 1)*(q + 127)**2/5
Factor 3*s**4 + 9*s**3 + 6*s**2.
3*s**2*(s + 1)*(s + 2)
Solve -2*a**2 - 6854*a/9 + 508/3 = 0.
-381, 2/9
Factor -4*o**4 - 180*o**3 + 772*o**2 - 588*o.
-4*o*(o - 3)*(o - 1)*(o + 49)
Find g such that g**3/4 + 69*g**2/4 + 1587*g/4 + 12167/4 = 0.
-23
Factor 30*j**2 - 454*j/3 + 20/3.
2*(j - 5)*(45*j - 2)/3
Determine k so that -10*k**4 + 46*k**3 + 150*k**2 + 122*k + 28 = 0.
-1, -2/5, 7
Factor 46*p**2 + 318*p - 28.
2*(p + 7)*(23*p - 2)
Solve 5*b**4 - 70*b**3 - 515*b**2 + 700*b + 1140 = 0 for b.
-6, -1, 2, 19
Suppose -3*i**5/2 + 45*i**4/2 + 3*i**3 - 45*i**2 - 3*i/2 + 45/2 = 0. What is i?
-1, 1, 15
Solve -3*d**2 + 138*d = 0 for d.
0, 46
Suppose -2*x**2/13 - 66*x/13 + 140/13 = 0. What is x?
-35, 2
Factor -18*r**3/7 - 6198*r**2/7 + 4138*r/7 - 690/7.
-2*(r + 345)*(3*r - 1)**2/7
Let -18*n**5 + 24*n**4 + 370*n**3 - 144*n**2 - 312*n + 160 = 0. Calculate n.
-4, -1, 2/3, 5
Factor 4*i**4 + 84*i**3 - 88*i**2.
4*i**2*(i - 1)*(i + 22)
Factor -2*r**2/11 - 17288*r/11 - 37359368/11.
-2*(r + 4322)**2/11
Factor -3*r**3 - 27*r**2 - 45*r + 75.
-3*(r - 1)*(r + 5)**2
Determine d, given that -18*d**5/5 - 104*d**4/5 + 456*d**3/5 - 564*d**2/5 + 266*d/5 - 36/5 = 0.
-9, 2/9, 1
Factor -5*w**3/3 - 100*w**2/3 + 115*w.
-5*w*(w - 3)*(w + 23)/3
Solve -63*y**4/8 - 249*y**3/4 - 177*y**2/2 + 9*y = 0 for y.
-6, -2, 0, 2/21
Factor -15*b**3 + 325*b**2 + 110*b.
-5*b*(b - 22)*(3*b + 1)
Find x such that -14*x**5/17 - 158*x**4/17 - 534*x**3/17 - 490*x**2/17 - 100*x/17 = 0.
-5, -1, -2/7, 0
Suppose -3*q**4/4 - 531*q**3 - 125316*q**2 - 9858192*q = 0. Calculate q.
-236, 0
Let 16*k**3 - 108*k**2 - 316*k - 72 = 0. Calculate k.
-2, -1/4, 9
Factor q**2 + 194*q - 195.
(q - 1)*(q + 195)
Find b, given that 2*b**2 + 592*b - 2400 = 0.
-300, 4
Suppose 2*i**2/5 + 4*i/5 + 2/5 = 0. Calculate i.
-1
Factor -q**3/4 + 93*q**2/4 - 223*q/2 + 132.
-(q - 88)*(q - 3)*(q - 2)/4
Determine d so that d**5/9 - 10*d**4/9 - 40*d**3/9 + 10*d**2/9 + 13*d/3 = 0.
-3, -1, 0, 1, 13
Factor 2*a**3/7 - 22*a**2/7 - 598*a - 60306/7.
2*(a - 57)*(a + 23)**2/7
Factor i**3/2 + 63*i**2 + 2046*i + 3844.
(i + 2)*(i + 62)**2/2
Let -3*l**5/4 + 9*l**4/2 - 6*l**3 - 9*l**2/2 + 27*l/4 = 0. What is l?
-1, 0, 1, 3
Factor 2*u**3/3 - 4*u**2 - 2*u/3 + 4.
2*(u - 6)*(u - 1)*(u + 1)/3
Determine c so that 7*c**3 - 54*c**2 + 68*c + 24 = 0.
-2/7, 2, 6
Let -2*i**3 - 2*i**2 + 2*i + 2 = 0. What is i?
-1, 1
Find i, given that 4*i**3 - 20*i**2 + 32*i - 16 = 0.
1, 2
Let 2*r**2/7 - 12*r/7 + 16/7 = 0. Calculate r.
2, 4
Factor -32*g**4/13 - 48*g**3/13 + 30*g**2/13 - 4*g/13.
-2*g*(g + 2)*(4*g - 1)**2/13
Factor -2*y**3 - 16*y**2 + 974*y + 988.
-2*(y - 19)*(y + 1)*(y + 26)
Let -50*n**5/7 + 10*n**4 - 22*n**3/7 + 2*n**2/7 = 0. What is n?
0, 1/5, 1
Factor v**4/3 - 70*v**3/3 + 572*v**2 - 16456*v/3 + 42592/3.
(v - 22)**3*(v - 4)/3
Factor u**5/3 - 2*u**4/3 - u**3 + 8*u**2/3 - 4*u/3.
u*(u - 2)*(u - 1)**2*(u + 2)/3
Factor -3*s**2 - 1449*s - 1446.
-3*(s + 1)*(s + 482)
Solve -5*q**5 + 40*q**4 + 35*q**3 - 430*q**2 - 780*q - 360 = 0.
-2, -1, 6
Solve -5*f**5 + 20*f**4 - 5*f**3 - 30*f**2 = 0 for f.
-1, 0, 2, 3
Suppose -2*j**2 - 16*j - 30 = 0. What is j?
-5, -3
Determine u, given that u**3/2 + 19*u**2/2 = 0.
-19, 0
Suppose i**4/10 + 7*i**3/10 - 29*i**2/2 + 85*i/2 = 0. Calculate i.
-17, 0, 5
Let -10*j**2 + 4534*j + 2724 = 0. Calculate j.
-3/5, 454
Suppose -4*x**3/9 + 16*x**2/3 + 640*x/9 = 0. Calculate x.
-8, 0, 20
Let 2*z**3/9 - 62*z**2/3 - 188*z/9 = 0. What is z?
-1, 0, 94
Let 2*m**2/5 + 154*m/5 = 0. What is m?
-77, 0
Let j**5/2 - 25*j**4/2 + 23*j**3 + j**2 - 47*j/2 + 23/2 = 0. Calculate j.
-1, 1, 23
Factor x**5/4 - 13*x**4/2 + 107*x**3/2 - 108*x**2 - 1215*x/4 + 729/2.
(x - 9)**3*(x - 1)*(x + 2)/4
Determine z, given that -2*z**2/7 + 54*z/7 - 52/7 = 0.
1, 26
Factor -4*m**3 - 112*m**2 - 400*m - 384.
-4*(m + 2)**2*(m + 24)
Factor -3*v**2 - 51*v - 48.
-3*(v + 1)*(v + 16)
What is i in 442*i**5 - 1408*i**4/3 - 14*i**3/3 + 88*i**2/3 + 8*i/3 = 0?
-2/13, -2/17, 0, 1/3, 1
Solve 265*m**3 - 1050*m**2 - 8520*m - 320 = 0 for m.
-4, -2/53, 8
Solve -j**5/4 - j**4/4 + j**3/4 + j**2/4 = 0.
-1, 0, 1
Factor -5*v**5 - 55*v**4 - 240*v**3 - 520*v**2 - 560*v - 240.
-5*(v + 2)**4*(v + 3)
Determine q, given that 3*q**4 + 96*q**3 - 2898*q**2 + 22344*q - 54537 = 0.
-53, 7
Let -2*x**2/3 - 15332*x/3 - 29383778/3 = 0. Calculate x.
-3833
Let -2*f**4/7 + 46*f**3/7 - 178*f**2/7 - 46*f/7 + 180/7 = 0. What is f?
-1, 1, 5, 18
Find y, given that 12*y**3 - 472*y**2 - 320*y = 0.
-2/3, 0, 40
Determine d, given that d**3/3 + 14*d**2 - 165*d + 1300/3 = 0.
-52, 5
Factor 2*u**3/5 - 138*u**2/5 - 