or 2*q**3/7 + 302*q**2/7 + 598*q/7 + 298/7.
2*(q + 1)**2*(q + 149)/7
Let -n**3/3 - 78*n**2 + 2440*n/3 = 0. Calculate n.
-244, 0, 10
What is a in -2*a**4 - 10*a**3/3 + 260*a**2/3 + 680*a/3 + 112 = 0?
-6, -2, -2/3, 7
What is w in -3*w**4/4 + 21*w**3/4 - 27*w**2/4 - 21*w/4 + 15/2 = 0?
-1, 1, 2, 5
Find z, given that 52*z**4/3 + 214*z**3/3 - 44*z**2 - 318*z - 36 = 0.
-3, -3/26, 2
Factor -2*q**4 + 7*q**3 - 5*q**2.
-q**2*(q - 1)*(2*q - 5)
Find w such that 6*w**5/5 + 76*w**4/5 + 174*w**3/5 - 408*w**2/5 - 8*w + 192/5 = 0.
-8, -6, -2/3, 1
Solve 2*c**4/17 - 4*c**3/17 - 78*c**2/17 + 304*c/17 - 224/17 = 0 for c.
-7, 1, 4
Factor 3*y**3/2 + 113*y**2/4 - 5*y - 19/4.
(y + 19)*(2*y - 1)*(3*y + 1)/4
Let 4*f**4 - 4*f**3 - 64*f**2 + 64*f = 0. What is f?
-4, 0, 1, 4
Factor 3*n**4 - 6*n**3 - 39*n**2 - 30*n.
3*n*(n - 5)*(n + 1)*(n + 2)
Solve -2*i**4/7 - 18*i**3/7 - 16*i**2/7 = 0 for i.
-8, -1, 0
Solve -3*b**5 + 46*b**4/5 - 31*b**3/5 - 4*b**2/5 + 4*b/5 = 0 for b.
-1/3, 0, 2/5, 1, 2
Factor -3*l**2 - 3609*l - 3606.
-3*(l + 1)*(l + 1202)
Let 2*n**2 - 34*n - 168 = 0. What is n?
-4, 21
Determine s so that -5*s**2 - 20*s + 160 = 0.
-8, 4
Factor -h**3 - 2*h**2 + 3*h.
-h*(h - 1)*(h + 3)
Determine w so that 6*w**4/13 + 34*w**3/13 - 16*w**2/13 - 24*w/13 = 0.
-6, -2/3, 0, 1
Factor -2*a**2/9 + 122*a/9.
-2*a*(a - 61)/9
Factor x**2/2 - 115*x/2 + 275.
(x - 110)*(x - 5)/2
Solve -2*m**2/3 - 528*m - 104544 = 0 for m.
-396
Factor -6*l**3/5 - 26*l**2/5 + 56*l/5 - 24/5.
-2*(l - 1)*(l + 6)*(3*l - 2)/5
Suppose 2*x**4/23 + 30*x**3/23 + 116*x**2/23 + 168*x/23 + 80/23 = 0. Calculate x.
-10, -2, -1
Let -y**4 - 35*y**3 - 65*y**2 + 35*y + 66 = 0. What is y?
-33, -2, -1, 1
Solve 4*l**3/7 - 104*l**2/7 - 340*l/7 - 232/7 = 0.
-2, -1, 29
Factor -j**3/3 + 86*j**2/3 - 1565*j/3 - 1652/3.
-(j - 59)*(j - 28)*(j + 1)/3
Suppose -5*a**3/3 + 15*a**2 + 5*a/3 - 15 = 0. Calculate a.
-1, 1, 9
Factor 2*u**2 - 130*u + 252.
2*(u - 63)*(u - 2)
Find j, given that 54*j**5 + 159*j**4/2 - 375*j**3/2 - 315*j**2 - 114*j - 12 = 0.
-2, -1, -1/4, -2/9, 2
Determine p, given that 2*p**4/5 + 18*p**3/5 - 2*p**2/5 - 18*p/5 = 0.
-9, -1, 0, 1
Suppose -5*n**2 + 3700*n - 684500 = 0. Calculate n.
370
Let 3*i**3 + 33*i**2 - 411*i + 855 = 0. What is i?
-19, 3, 5
Solve -n**2/3 + 145*n/3 + 146/3 = 0.
-1, 146
Factor 4*g**3 + 136*g**2 + 1156*g.
4*g*(g + 17)**2
What is j in -338*j**4/7 - 1326*j**3/7 - 1684*j**2/7 - 120*j - 144/7 = 0?
-2, -1, -6/13
Determine t so that -35*t**3/8 + 477*t**2/8 - 289*t/8 + 39/8 = 0.
1/5, 3/7, 13
Determine j, given that 3*j**4/4 + 3*j**3/2 - 9*j**2 - 30*j - 24 = 0.
-2, 4
Solve 2*h**2/11 - 10090*h/11 - 10092/11 = 0 for h.
-1, 5046
Factor 51*y**3/4 + 29*y**2/4.
y**2*(51*y + 29)/4
Determine v, given that -3*v**3/5 - 42*v**2/5 - 36*v - 216/5 = 0.
-6, -2
Factor 3*r**5/2 + 3*r**4 - 12*r**3 - 24*r**2 + 24*r + 48.
3*(r - 2)**2*(r + 2)**3/2
Factor -2*k**2 - 360*k + 362.
-2*(k - 1)*(k + 181)
Factor 5*i**2 - 115*i + 510.
5*(i - 17)*(i - 6)
Find l, given that 7*l**5/8 + 27*l**4/8 - 75*l**3/8 + 41*l**2/8 = 0.
-41/7, 0, 1
Determine s so that -30*s**5/7 + 146*s**4/7 - 218*s**3/7 + 78*s**2/7 + 32*s/7 - 8/7 = 0.
-1/3, 1/5, 1, 2
Factor -4*d**3 - 332*d**2 - 4136*d - 3808.
-4*(d + 1)*(d + 14)*(d + 68)
Factor 4*q**2 + 12080*q + 9120400.
4*(q + 1510)**2
Find w such that 5*w**4 + 140*w**3 - 795*w**2 + 990*w = 0.
-33, 0, 2, 3
Factor 2*z**2/9 + 254*z/3 + 1516/9.
2*(z + 2)*(z + 379)/9
Find o, given that -2*o**3/15 - 26*o**2/5 + 54*o/5 - 82/15 = 0.
-41, 1
What is k in 2*k**5 + 16*k**4 + 12*k**3 - 16*k**2 - 14*k = 0?
-7, -1, 0, 1
Let 6*p**5 - 4*p**4 - 150*p**3 + 100*p**2 = 0. Calculate p.
-5, 0, 2/3, 5
Factor 5*k**5 + 250*k**4 + 4925*k**3 + 47800*k**2 + 228800*k + 432640.
5*(k + 8)**3*(k + 13)**2
Factor 2*a**2/7 + 4*a/7 - 30/7.
2*(a - 3)*(a + 5)/7
Factor -4*m**3 - 11*m**2 + 3*m.
-m*(m + 3)*(4*m - 1)
Factor -2*a**2/11 + 34*a/11 + 36/11.
-2*(a - 18)*(a + 1)/11
Determine c so that -5*c**5 - 10*c**4 + 55*c**3 + 20*c**2 - 140*c + 80 = 0.
-4, -2, 1, 2
Factor 3*r**2 + 498*r + 495.
3*(r + 1)*(r + 165)
Let 2*a**5/5 - 16*a**4 - 168*a**3/5 - 4*a**2/5 + 166*a/5 + 84/5 = 0. Calculate a.
-1, 1, 42
Determine q, given that 5*q**5 - 50*q**3 + 100*q**2 - 75*q + 20 = 0.
-4, 1
Suppose h**5/3 + 8*h**4/3 + 13*h**3/3 + 2*h**2 = 0. Calculate h.
-6, -1, 0
Factor -3*u**3/4 + 51*u**2/4 - 12*u.
-3*u*(u - 16)*(u - 1)/4
Suppose c**4 - 5*c**3 + 7*c**2 - 3*c = 0. What is c?
0, 1, 3
Factor 3*r**5 - 12*r**4 + 15*r**3 - 6*r**2.
3*r**2*(r - 2)*(r - 1)**2
Factor 16*r**2 - 996*r + 248.
4*(r - 62)*(4*r - 1)
Determine f, given that -14*f**5/3 + 68*f**4/3 - 20*f**3/3 - 64*f**2 + 6*f + 36 = 0.
-1, 6/7, 3
Factor 12*z**3 + 24261*z**2 + 12259386*z - 3066363.
3*(z + 1011)**2*(4*z - 1)
Let 4*m**5 + 64*m**4 + 204*m**3 + 128*m**2 - 208*m - 192 = 0. What is m?
-12, -2, -1, 1
Let 147*p**5 - 3150*p**4 - 5217*p**3 - 2196*p**2 - 276*p = 0. Calculate p.
-1, -2/7, 0, 23
Suppose 2*g**2 + 94*g + 960 = 0. Calculate g.
-32, -15
Solve 35*d**5 + 5345*d**4 - 1775*d**3 - 37205*d**2 + 42780*d - 9180 = 0 for d.
-153, -3, 2/7, 1, 2
Factor 3*s**2 - 39*s - 2850.
3*(s - 38)*(s + 25)
Factor -h**4/3 - h**3 + 4*h**2/3.
-h**2*(h - 1)*(h + 4)/3
Solve 28*c**3/3 - 764*c**2/3 + 944*c/3 - 208/3 = 0.
2/7, 1, 26
Factor 2*u**2/15 - 184*u/15 + 4232/15.
2*(u - 46)**2/15
Factor -5*k**2 + 7400*k + 7405.
-5*(k - 1481)*(k + 1)
Let 8*f**5/21 + 2*f**4/3 - 2*f**3/21 - 2*f**2/3 - 2*f/7 = 0. What is f?
-1, -3/4, 0, 1
Suppose u**5/7 - 11*u**4/7 + 8*u**3/7 + 20*u**2/7 = 0. Calculate u.
-1, 0, 2, 10
Find y, given that -y**2 - 7*y - 12 = 0.
-4, -3
Solve -4*x**3 + 640*x**2 - 22848*x - 225792 = 0 for x.
-8, 84
Factor u**3 + 661*u**2 + 1318*u.
u*(u + 2)*(u + 659)
Factor -4*s**5 + 176*s**4 - 804*s**3 + 920*s**2 + 656*s - 1248.
-4*(s - 39)*(s - 2)**3*(s + 1)
Suppose 3*z**3/4 + 6*z**2 - 99*z/4 = 0. What is z?
-11, 0, 3
Suppose 2*w**4/9 + 2614*w**3/9 + 284272*w**2/3 - 95048*w = 0. Calculate w.
-654, 0, 1
Determine k so that 2*k**3/17 + 282*k**2/17 + 558*k/17 + 278/17 = 0.
-139, -1
Factor -5*s**4 - 5*s**3 + 5*s**2 + 5*s.
-5*s*(s - 1)*(s + 1)**2
Factor -j**3/7 + 82*j**2/7 + 253*j/7 + 170/7.
-(j - 85)*(j + 1)*(j + 2)/7
Suppose 2*m**3 + 24*m**2/7 - 344*m/7 + 96/7 = 0. What is m?
-6, 2/7, 4
Factor 2*z**4/9 - 2*z**3/9.
2*z**3*(z - 1)/9
Factor 2*r**3 - 1330*r**2 + 220446*r + 221778.
2*(r - 333)**2*(r + 1)
Let 2*g**4/5 - 44*g**3/5 + 314*g**2/5 - 792*g/5 + 648/5 = 0. What is g?
2, 9
Factor 15*d**3/2 - 51*d**2/2 + 21*d.
3*d*(d - 2)*(5*d - 7)/2
Factor 2*m**2/7 - 212*m/7.
2*m*(m - 106)/7
Solve -2*d**3/11 - 204*d**2/11 - 400*d/11 = 0 for d.
-100, -2, 0
Factor 3*o**3 - 36*o + 48.
3*(o - 2)**2*(o + 4)
Factor 3*b**2/5 - 1032*b/5 + 88752/5.
3*(b - 172)**2/5
Factor -t**3/7 + 5*t**2/7 - t + 3/7.
-(t - 3)*(t - 1)**2/7
Factor 4*t**2 + 60*t.
4*t*(t + 15)
Factor -25*f**4 + 90*f**3 - 21*f**2 - 88*f + 48.
-(f - 3)*(f + 1)*(5*f - 4)**2
Factor -10*v**3 + 798*v**2 - 88638*v/5 + 69938.
-2*(v - 5)*(5*v - 187)**2/5
Factor 5*c**5 + 55*c**4 + 225*c**3 + 405*c**2 + 270*c.
5*c*(c + 2)*(c + 3)**3
Factor 4*x**3 + 8*x**2 - 1152*x.
4*x*(x - 16)*(x + 18)
Determine f so that 2*f**4/9 - 80*f**3/9 - 82*f**2/9 = 0.
-1, 0, 41
Let 2*y**5/7 - 3*y**4/7 - 80*y**3/7 - 25*y**2 - 132*y/7 - 32/7 = 0. What is y?
-4, -1, -1/2, 8
Let -j**2/4 - 9*j/2 = 0. What is j?
-18, 0
Find r such that 15*r**3 + r**2 - 15*r - 1 = 0.
-1, -1/15, 1
Factor -15*p**4/7 + 279*p**3/7 + 114*p**2/7.
-3*p**2*(p - 19)*(5*p + 2)/7
Determine u so that -5*u**5 + 295*u**4 - 1390*u**3 + 2180*u**2 - 1080*u = 0.
0, 1, 2, 54
Factor 3*y**2 - 390*y + 12675.
3*(y - 65)**2
Solve -3*u**3/2 + 42*u - 72 = 0 for u.
-6, 2, 4
Factor 4*m**5 + 12*m**4 - 28*m**3 - 60*m**2 + 72*m.
4*m*(m - 2)*(m - 1)*(m + 3)**2
Factor -5*u**2 + 65*u - 60.
-5*(u - 12)*(u - 1)
Factor -2*v**4/7 + 50*v**3/7 - 94*v**2/7 + 46*v/7.
-2*v*(v - 23)*(v - 1)**2/7
Factor -c**3 + 70*c**2 - 1152*c - 2592.
-(c - 36)**2*(c + 2)
What is i in -i**4/3 + i**3/3 + 7*i**2/3 - i/3 - 2 = 0?
-2, -1, 1, 3
Let 2*p**3/9 + 146*p**2/9 + 142*p + 126 = 0. Calculate p.
-63, -9, -1
Find b, given that -21*b**4 - 102*b**3 - 72*b**2 = 0.
-4, -6/7, 0
Find s, given that 2*s**5/3 - 22*s**4 + 724*s**3/3 - 2596*s**2/3 - 242*s + 2662/3 = 0.
-1, 1, 11
Suppose -19*w**3/2 + 59*w**2/4 - 11*w/2 + 1/4 = 0. What is w?
1/19, 1/2, 1
Suppose 4*w**2 + 148*w - 480 = 0. What is w?
-40, 3
Factor 3*c**5 + 453*c**4 +