 3*b**2 + 69*b + 270.
3*(b + 5)*(b + 18)
Factor 2*m**3/9 - 4*m**2/3 + 22*m/9 - 4/3.
2*(m - 3)*(m - 2)*(m - 1)/9
Factor -u**4/3 + 37*u**3/3 - 391*u**2/3 + 289*u.
-u*(u - 17)**2*(u - 3)/3
Suppose -2*z**4 - 20*z**3 + 26*z**2 + 44*z = 0. What is z?
-11, -1, 0, 2
Determine n so that n**4/7 + 151*n**3/7 + 298*n**2/7 = 0.
-149, -2, 0
Solve i**2/7 + 1416*i/7 + 501264/7 = 0 for i.
-708
Factor 3*k**4/4 + 3*k**3/2 + 3*k**2/4.
3*k**2*(k + 1)**2/4
Suppose d**2/11 + 26*d/11 - 27/11 = 0. Calculate d.
-27, 1
Factor 3*a**2 - 243*a - 246.
3*(a - 82)*(a + 1)
Suppose -10*f**4 + 15*f**3 - 5*f**2 = 0. What is f?
0, 1/2, 1
Let 2*y**4/9 - 2*y**3/3 + 8*y/9 = 0. What is y?
-1, 0, 2
Factor r**2/5 + 552*r/5 - 553/5.
(r - 1)*(r + 553)/5
Find x such that -x**5 + 32*x**4 - 253*x**3 - 94*x**2 + 704*x + 512 = 0.
-1, 2, 16
Factor -2*f**3 - 3034*f**2 + 6074*f - 3038.
-2*(f - 1)**2*(f + 1519)
Find n, given that 12*n**4 + 147*n**3 + 468*n**2 + 108*n = 0.
-6, -1/4, 0
Factor i**3/5 - 8*i**2/5 + 3*i.
i*(i - 5)*(i - 3)/5
Solve 2*q**2/11 - 8*q/11 = 0 for q.
0, 4
Determine r so that -r**2/3 - 65*r/3 + 584/3 = 0.
-73, 8
Suppose -3*m**3/4 + 3*m**2/2 + 21*m/4 + 3 = 0. Calculate m.
-1, 4
Factor -x**2/5 + 55*x - 546/5.
-(x - 273)*(x - 2)/5
Suppose -4*u**4/3 + 2*u**3 + 14*u**2/3 - 2*u - 10/3 = 0. Calculate u.
-1, 1, 5/2
Let -3*w**2 - 18*w + 21 = 0. What is w?
-7, 1
Find k such that k**5 + 4*k**4 - 19*k**3 + 14*k**2 = 0.
-7, 0, 1, 2
Suppose 2*s**5 - 4*s**4 - 24*s**3 - 28*s**2 - 10*s = 0. Calculate s.
-1, 0, 5
Factor 4*f**2 + 1644*f.
4*f*(f + 411)
Factor -2*j**2/11 + 104*j/11 - 384/11.
-2*(j - 48)*(j - 4)/11
Solve i**5/8 + i**4/8 - 3*i**3/2 = 0.
-4, 0, 3
Let w**5/6 - 5*w**4/6 - 5*w**3/6 + 25*w**2/6 + 20*w/3 + 8/3 = 0. Calculate w.
-1, 4
Factor -3*h**3/2 + 6*h**2 + 90*h.
-3*h*(h - 10)*(h + 6)/2
Determine a, given that -2*a**4/7 + 68*a**3/7 + 216*a**2/7 + 220*a/7 + 74/7 = 0.
-1, 37
Factor -3*b**4 - 12*b**3 + 87*b**2 - 72*b.
-3*b*(b - 3)*(b - 1)*(b + 8)
Suppose 5*b**3 - 405*b**2 + 1555*b - 1155 = 0. What is b?
1, 3, 77
Factor -3*f**4/7 - 12*f**3/7 + 15*f**2/7.
-3*f**2*(f - 1)*(f + 5)/7
Find t, given that 49*t**4/3 + 1811*t**3/3 + 17566*t**2/3 + 5052*t - 216 = 0.
-18, -1, 2/49
Factor -2*w**3 - 200*w**2 - 1934*w + 2136.
-2*(w - 1)*(w + 12)*(w + 89)
Let 2*q**3 + 20*q**2 + 56*q + 48 = 0. What is q?
-6, -2
Factor -o**4 + 9*o**3 - 29*o**2 + 39*o - 18.
-(o - 3)**2*(o - 2)*(o - 1)
Factor -x**3/2 + 31*x**2/4 - 53*x/2 + 77/4.
-(x - 11)*(x - 1)*(2*x - 7)/4
Let -3*i**2 - 24*i = 0. Calculate i.
-8, 0
Factor -6*s**3/7 + 72*s**2/7 - 192*s/7.
-6*s*(s - 8)*(s - 4)/7
Factor 2*s**2/5 - 16*s/5.
2*s*(s - 8)/5
Solve -5*h**3 + 50*h**2 - 85*h + 40 = 0 for h.
1, 8
Factor -2*x**5/3 + 10*x**4 - 42*x**3 + 98*x**2/3.
-2*x**2*(x - 7)**2*(x - 1)/3
Suppose -2*q**3 - 872*q**2 - 2590*q + 3464 = 0. What is q?
-433, -4, 1
Determine w so that w**4/9 - 53*w**3/9 - 835*w**2/9 - 1507*w/9 - 242/3 = 0.
-11, -1, 66
Factor -3*c**2/5 + 24*c/5 - 21/5.
-3*(c - 7)*(c - 1)/5
Let -2*r**2/7 + 12*r/7 + 2 = 0. What is r?
-1, 7
Factor 3*s**2/7 - 3219*s/7 + 918.
3*(s - 1071)*(s - 2)/7
Find p such that 4*p**2 - 140*p - 296 = 0.
-2, 37
Factor -i**5 + 12*i**4 + 3*i**3 - 34*i**2 - 24*i.
-i*(i - 12)*(i - 2)*(i + 1)**2
Factor 35*m**2 - 66*m + 16.
(5*m - 8)*(7*m - 2)
Factor -2*z**4/9 - 40*z**3/3 - 200*z**2.
-2*z**2*(z + 30)**2/9
Suppose -3*o**3 - 126*o**2 - 1035*o + 6348 = 0. Calculate o.
-23, 4
Find r such that -2*r**4 - 24*r**3 - 60*r**2 - 56*r - 18 = 0.
-9, -1
Determine s so that -2*s**2/7 - 8*s - 264/7 = 0.
-22, -6
Suppose f**2 + 47*f - 48 = 0. What is f?
-48, 1
What is d in 6*d**5 - 4*d**4 - 18*d**3 + 8*d = 0?
-1, 0, 2/3, 2
Factor -5*u**4 + 115*u**3 + 375*u**2 + 385*u + 130.
-5*(u - 26)*(u + 1)**3
Let 2*f**4 + 22*f**3 + 66*f**2 + 74*f + 28 = 0. Calculate f.
-7, -2, -1
Suppose -2*y**3/9 + 56*y**2/9 - 442*y/9 + 676/9 = 0. Calculate y.
2, 13
Let -2*m**4/9 - 74*m**3/9 + 106*m**2/3 - 406*m/9 + 164/9 = 0. Calculate m.
-41, 1, 2
Factor -4*i**3 - 72*i**2 - 204*i + 280.
-4*(i - 1)*(i + 5)*(i + 14)
Solve -2*j**3/9 - 178*j**2/9 - 4048*j/9 - 3872/9 = 0 for j.
-44, -1
Solve -c**2/7 + 137*c/7 - 402/7 = 0 for c.
3, 134
Factor 4*l**3/7 + 52*l**2/7 + 176*l/7 + 128/7.
4*(l + 1)*(l + 4)*(l + 8)/7
Find x, given that -x**5 - 39*x**4 + 82*x**3 = 0.
-41, 0, 2
Suppose 4*u**3 + 168*u**2 - 940*u = 0. What is u?
-47, 0, 5
Suppose -2*m**5 - 105*m**4 - 248*m**3 + 111*m**2 + 556*m + 300 = 0. Calculate m.
-50, -2, -1, 3/2
Factor 4*q**4 + 60*q**3 + 232*q**2 + 336*q + 160.
4*(q + 1)*(q + 2)**2*(q + 10)
Factor -4*y**2 - 352*y.
-4*y*(y + 88)
What is s in 4*s**4 + 492*s**3 + 12672*s**2 - 156816*s = 0?
-66, 0, 9
Solve -l**5/8 - 5*l**4/8 + 7*l**3/8 + 5*l**2/8 - 3*l/4 = 0.
-6, -1, 0, 1
Factor t**3/4 + 67*t**2/4 + 61*t/2 - 130.
(t - 2)*(t + 4)*(t + 65)/4
Let -2*o**2/7 + 12*o/7 - 16/7 = 0. What is o?
2, 4
Determine a so that 4*a**5 + 96*a**4 + 464*a**3 - 1448*a**2 - 468*a + 1352 = 0.
-13, -1, 1, 2
Let 5*k**2 - 15180*k + 11521620 = 0. What is k?
1518
Solve c**3/7 - 55*c**2/7 - 233*c/7 - 177/7 = 0 for c.
-3, -1, 59
Factor 14*p**3/9 - 22*p**2/9 + 2*p/9 + 2/3.
2*(p - 1)**2*(7*p + 3)/9
Factor 3*k**5 - 12*k**4 - 9*k**3 + 54*k**2.
3*k**2*(k - 3)**2*(k + 2)
Determine y, given that 5*y**5 - 270*y**4 - 15*y**3 + 800*y**2 + 540*y = 0.
-1, 0, 2, 54
Factor r**3/4 + 31*r**2/4 - 17*r/2 - 16.
(r - 2)*(r + 1)*(r + 32)/4
Find c, given that 2*c**3/13 + 240*c**2 + 124800*c + 21632000 = 0.
-520
Factor -4*l**5 + 788*l**4 - 37612*l**3 - 117604*l**2 - 119200*l - 40000.
-4*(l - 100)**2*(l + 1)**3
Find b such that -3*b**3/5 - 69*b**2/5 + 228*b/5 - 156/5 = 0.
-26, 1, 2
Factor 9*s**4 - 21*s**3 + 6*s**2.
3*s**2*(s - 2)*(3*s - 1)
Let q**5/2 - 6*q**4 - 459*q**3/2 - 1215*q**2 = 0. Calculate q.
-9, 0, 30
Factor 2*z**2/15 + 106*z/5 + 312/5.
2*(z + 3)*(z + 156)/15
Find i such that -2*i**5 + 110*i**4 - 1854*i**3 + 9522*i**2 - 18144*i + 10368 = 0.
1, 3, 24
Let 2*k**4/5 - 4*k**3/5 + 4*k/5 - 2/5 = 0. Calculate k.
-1, 1
Find z, given that 2*z**2/3 + 158*z/3 = 0.
-79, 0
Let b**2/3 - 324*b + 78732 = 0. What is b?
486
Factor -2*x**4 + 32*x**3 - 154*x**2 + 196*x.
-2*x*(x - 7)**2*(x - 2)
Factor 4*x**5 + 232*x**4 + 660*x**3.
4*x**3*(x + 3)*(x + 55)
Factor 2*g**3 + 6*g**2 + 6*g + 2.
2*(g + 1)**3
Factor 4*d**5 + 524*d**4 + 25608*d**3 + 548856*d**2 + 4168692*d - 4743684.
4*(d - 1)*(d + 33)**4
Factor -2*z**5 + 24*z**4 - 60*z**3 + 56*z**2 - 18*z.
-2*z*(z - 9)*(z - 1)**3
Solve 6*h**4 + 32*h**3 + 62*h**2 + 52*h + 16 = 0.
-2, -4/3, -1
What is t in 2*t**2/9 + 30*t - 5168/9 = 0?
-152, 17
Factor 2*h**3 - 60*h**2 - 414*h - 648.
2*(h - 36)*(h + 3)**2
Suppose 116*v**2 - 140*v + 24 = 0. Calculate v.
6/29, 1
Find k, given that 3*k**3/2 - 63*k**2/2 + 105*k/2 + 171/2 = 0.
-1, 3, 19
Solve 4*u**5 - 1500*u**4 + 133740*u**3 + 1285740*u**2 + 3939840*u + 3981312 = 0 for u.
-3, 192
Factor -5*s**3 + 250*s**2 - 4140*s + 22680.
-5*(s - 18)**2*(s - 14)
Factor -5*l**5/3 + 66*l**4 + 80*l**3/3.
-l**3*(l - 40)*(5*l + 2)/3
Determine g so that -g**4 - 4*g**3 + 4*g**2 + 16*g = 0.
-4, -2, 0, 2
Determine h so that -h**5/5 - 7*h**4/5 + 21*h**3/5 + 19*h**2/5 - 68*h/5 + 36/5 = 0.
-9, -2, 1, 2
Factor j**4/2 + 76*j**3 + 2963*j**2 + 5700*j + 5625/2.
(j + 1)**2*(j + 75)**2/2
Solve 18*o**3 - 40*o**2 - 72*o + 160 = 0.
-2, 2, 20/9
Factor 81*m**4/2 + 18*m**3 - 2021*m**2/2 - 450*m - 50.
(m - 5)*(m + 5)*(9*m + 2)**2/2
Determine a so that 2*a**3/9 + 26*a**2/9 - 32*a/9 - 56/9 = 0.
-14, -1, 2
Determine j so that 3*j**3 + 114*j**2 + 936*j = 0.
-26, -12, 0
Suppose 5*u**4 - 20*u**2 = 0. Calculate u.
-2, 0, 2
Find u, given that -2*u**3/9 - 490*u**2/3 - 30094*u - 269378/9 = 0.
-367, -1
Factor -2*f**3/7 + 256*f**2/7 - 72*f.
-2*f*(f - 126)*(f - 2)/7
Factor -m**4/5 - 3*m**3/5 + 4*m/5.
-m*(m - 1)*(m + 2)**2/5
Find p such that -3*p**5 - 156*p**4/5 - 96*p**3 - 528*p**2/5 - 144*p/5 = 0.
-6, -2, -2/5, 0
Suppose -4*s**3/7 - 116*s**2/7 + 244*s/7 - 124/7 = 0. What is s?
-31, 1
Determine f, given that -2*f**2/5 - 138*f/5 = 0.
-69, 0
Factor 2*v**5 + 504*v**4 + 3466*v**3 + 8860*v**2 + 9816*v + 3920.
2*(v + 1)*(v + 2)**3*(v + 245)
Let -v**2 - 50*v - 600 = 0. What is v?
-30, -20
Determine d, given that 2*d**3/3 - 4*d**2 + 2*d + 20/3 = 0.
-1, 2, 5
Find j, given that -j**5 + 65*j**4 - 1022*j**3 - 1154*j**2 + 1023*j + 1089 = 0.
-1, 1, 33
Determine c, given that c**2/5 - 97*c/5 = 0.
0, 97
Determine p so that 3