*3/5 - 158*k**2/5 - 6241*k/5 = 0.
-79, 0
Solve 5*q**3 + 35*q**2 + 60*q = 0 for q.
-4, -3, 0
Factor -2*p**2 - 260*p.
-2*p*(p + 130)
Factor -2*f**3/13 - 28*f**2/13 - 128*f/13 - 192/13.
-2*(f + 4)**2*(f + 6)/13
Factor 5*n**2/3 + 665*n/3 - 2640.
5*(n - 11)*(n + 144)/3
Factor -z**2 + 360*z.
-z*(z - 360)
Solve 3*m**3 + 78*m**2 + 147*m + 72 = 0 for m.
-24, -1
Find o such that 4*o**5 + 76*o**4 - 80*o**3 = 0.
-20, 0, 1
Factor 4*r**3/7 - 4392*r**2/7 + 1607472*r/7 - 196111584/7.
4*(r - 366)**3/7
Factor -3*q**3/2 - 21*q**2 - 90*q - 108.
-3*(q + 2)*(q + 6)**2/2
Factor -2*z**2 + 134*z + 276.
-2*(z - 69)*(z + 2)
Factor 2*d**3/7 + 6*d**2/7 - 12*d/7 - 16/7.
2*(d - 2)*(d + 1)*(d + 4)/7
Factor 18*o**2/5 - 1166*o/5 - 52.
2*(o - 65)*(9*o + 2)/5
Determine d so that -9*d**4 + 78*d**3 - 33*d**2 - 132*d + 96 = 0.
-4/3, 1, 8
Factor -z**2/7 + 22*z/7.
-z*(z - 22)/7
Solve -28*j**4/5 - j**3/5 + 2*j**2/5 = 0 for j.
-2/7, 0, 1/4
Find y, given that 4*y**3 - 4*y**2 - 16*y + 16 = 0.
-2, 1, 2
Suppose -2*m**3/9 + 166*m**2/3 + 334*m/3 + 502/9 = 0. What is m?
-1, 251
Solve -s**3/10 + 1803*s**2/10 - 1083603*s/10 + 217081801/10 = 0 for s.
601
Suppose -28*s**3 - 76*s**2 - 32*s + 16 = 0. Calculate s.
-2, -1, 2/7
Factor -900*y**3 - 12080*y**2 - 41844*y - 8712.
-4*(5*y + 33)**2*(9*y + 2)
Factor 3*x**4 - 36*x**3 + 108*x**2.
3*x**2*(x - 6)**2
Determine i so that -i**2 - 72*i + 385 = 0.
-77, 5
Determine m so that -m**5/5 - 2*m**4/5 + 6*m**3/5 + 8*m**2/5 - m - 6/5 = 0.
-3, -1, 1, 2
Factor n**2 + 105*n - 214.
(n - 2)*(n + 107)
Suppose 3*v**5 - 63*v**4 - 135*v**3 - 69*v**2 = 0. Calculate v.
-1, 0, 23
Let -115*s**2 - 100*s + 15 = 0. What is s?
-1, 3/23
What is f in -3*f**4/4 + 15*f**3/2 - 87*f**2/4 + 24*f - 9 = 0?
1, 2, 6
Solve 3*c**3/7 + 30*c**2/7 + 96*c/7 + 96/7 = 0 for c.
-4, -2
Let 34*r**3/11 + 100*r**2/11 - 6*r/11 = 0. What is r?
-3, 0, 1/17
Factor -52*z**2 + 1864*z + 288.
-4*(z - 36)*(13*z + 2)
Factor -4*v**2 - 16*v + 48.
-4*(v - 2)*(v + 6)
Let -6*l**4 - 31*l**3 + l**2 + 31*l + 5 = 0. What is l?
-5, -1, -1/6, 1
Factor 5*b**3 + 10*b**2 - 75*b - 180.
5*(b - 4)*(b + 3)**2
What is g in -3*g**3 + 1446*g**2 - 174243*g = 0?
0, 241
Determine l, given that -l**4/2 + 29*l**3/2 - 97*l**2/2 - 93*l/2 + 225 = 0.
-2, 3, 25
Factor -o**3 + 64*o**2 - 700*o.
-o*(o - 50)*(o - 14)
What is k in -3*k**4/2 - 912*k**3 - 2727*k**2 - 2724*k - 1815/2 = 0?
-605, -1
Factor b**3/7 + 10*b**2 - 21*b - 216/7.
(b - 3)*(b + 1)*(b + 72)/7
Factor 4*g**2 - 16*g - 20.
4*(g - 5)*(g + 1)
Factor t**2 - 806*t + 162409.
(t - 403)**2
Determine y, given that -2*y**4/5 + 394*y**3/5 + 398*y**2/5 - 394*y/5 - 396/5 = 0.
-1, 1, 198
Let -i**3/2 + i**2 - i/2 = 0. Calculate i.
0, 1
Factor -q**3/5 - 51*q**2/5 - 99*q/5 - 49/5.
-(q + 1)**2*(q + 49)/5
Suppose 4*b**3 + 44*b**2 - 100*b + 52 = 0. What is b?
-13, 1
Suppose 14*i**3 - 7164*i**2 + 5106*i + 2044 = 0. Calculate i.
-2/7, 1, 511
Find n such that -4*n**2/7 - 600*n/7 - 22500/7 = 0.
-75
Determine x so that -4*x**3 + 28*x**2 + 112*x + 80 = 0.
-2, -1, 10
Solve 220*v**3 - 196*v**2 - 24*v = 0.
-6/55, 0, 1
Factor -2*c**5/7 - 10*c**4/7 - 2*c**3 - 6*c**2/7.
-2*c**2*(c + 1)**2*(c + 3)/7
Factor -2*u**4 - 22*u**3 + 80*u**2 - 56*u.
-2*u*(u - 2)*(u - 1)*(u + 14)
Factor 5*h**5 - 55*h**4 + 215*h**3 - 345*h**2 + 180*h.
5*h*(h - 4)*(h - 3)**2*(h - 1)
Solve 27*n**5 + 846*n**4 - 573*n**3 + 96*n**2 = 0 for n.
-32, 0, 1/3
Factor 2*b**3/7 - 30*b**2.
2*b**2*(b - 105)/7
Factor y**2/4 + 233*y/2 + 465/4.
(y + 1)*(y + 465)/4
Factor 65*f**2/6 - 2345*f/6 + 30.
5*(f - 36)*(13*f - 1)/6
What is m in -4*m**3 - 44*m**2 + 840*m = 0?
-21, 0, 10
Factor w**2/2 + 116*w + 6728.
(w + 116)**2/2
Find u such that -u**5/3 - 2*u**4/3 + 5*u**3/3 + 10*u**2/3 - 4*u/3 - 8/3 = 0.
-2, -1, 1, 2
Solve -570*d**5 + 4*d**4/5 + 5130*d**3 + 11364*d**2/5 - 34216*d/5 + 48/5 = 0 for d.
-2, 2/1425, 1, 3
What is q in -105*q**4 + 2019*q**3 + 1734*q**2 - 2208*q - 1440 = 0?
-6/5, -4/7, 1, 20
Factor -2*c**2/5 + 94*c/5 - 264/5.
-2*(c - 44)*(c - 3)/5
Let -y**5/4 + 2*y**4 + y**3/4 - 2*y**2 = 0. What is y?
-1, 0, 1, 8
Factor w**3 + 5*w**2 + 7*w + 3.
(w + 1)**2*(w + 3)
Determine o so that o**4/5 + 118*o**3/5 - 24*o**2 - 118*o/5 + 119/5 = 0.
-119, -1, 1
Solve -n**3/3 + 30*n**2 - 900*n + 9000 = 0.
30
Let 21*m**4/2 - 69*m**3 - 273*m**2/2 + 771*m + 828 = 0. Calculate m.
-3, -1, 4, 46/7
Factor 2*c**2 - 78*c - 1620.
2*(c - 54)*(c + 15)
Suppose 5*u**2/2 - 23*u + 9/2 = 0. Calculate u.
1/5, 9
Factor 5*l**4 + 180*l**3 + 150*l**2 - 860*l + 525.
5*(l - 1)**2*(l + 3)*(l + 35)
Determine j so that -2*j**4 + 4*j**3 + 24*j**2 - 16*j - 64 = 0.
-2, 2, 4
Factor 3*w**3 + 384*w**2 + 381*w.
3*w*(w + 1)*(w + 127)
Factor 2*y**2/7 + 2*y/7 - 312/7.
2*(y - 12)*(y + 13)/7
Let 2*g**2 - 44*g + 242 = 0. What is g?
11
Suppose 5*a**3/2 - 95*a**2/2 + 275*a/2 + 1815/2 = 0. Calculate a.
-3, 11
Determine b so that 4*b**4 + 4*b**3 - 8*b**2 = 0.
-2, 0, 1
Let 2*k**2 - 7608*k + 7235208 = 0. Calculate k.
1902
Factor -2*j**3 - 38*j**2 - 48*j + 1440.
-2*(j - 5)*(j + 12)**2
Factor 2*d**3/11 + 2*d**2/11.
2*d**2*(d + 1)/11
Factor -2*j**3/3 - 130*j**2/3 + 8*j/3 + 520/3.
-2*(j - 2)*(j + 2)*(j + 65)/3
What is v in 5*v**2 + 75*v + 220 = 0?
-11, -4
Find r, given that -5*r**5 + 35*r**4 - 70*r**3 + 40*r**2 = 0.
0, 1, 2, 4
Factor -2*b**2/5 - 408*b/5 - 406/5.
-2*(b + 1)*(b + 203)/5
What is b in -5*b**3 - 320*b**2 - 6625*b - 43750 = 0?
-25, -14
Factor 5*m**5/3 - 10*m**4/3 - 35*m**3/3 - 20*m**2/3.
5*m**2*(m - 4)*(m + 1)**2/3
Determine z so that 26*z**2/3 + 2830*z/3 - 436/3 = 0.
-109, 2/13
Let -2*p**3/13 + 20*p**2/13 = 0. What is p?
0, 10
Find h, given that -2*h**3/3 - 148*h**2/3 + 1050*h - 4968 = 0.
-92, 9
Suppose -5*z**4 - 60*z**3 - 180*z**2 - 160*z = 0. Calculate z.
-8, -2, 0
Factor -4*a**2/5 + 4*a + 24/5.
-4*(a - 6)*(a + 1)/5
Determine u so that u**4/2 - 3*u**2/2 + u = 0.
-2, 0, 1
Factor -y**3/8 - 3*y**2/8 + 25*y/8 - 21/8.
-(y - 3)*(y - 1)*(y + 7)/8
Factor h**3 + 2283*h**2 + 1737363*h + 440711081.
(h + 761)**3
Let -2*d**4/3 - 2*d**3 + 74*d**2/3 - 22*d - 48 = 0. Calculate d.
-8, -1, 3
Solve 2*a**3/13 - 14*a**2/13 - 18*a/13 + 126/13 = 0 for a.
-3, 3, 7
Suppose 35*v**4 + 1390*v**3 - 400*v**2 = 0. Calculate v.
-40, 0, 2/7
Factor -2*r**2/5 + 6*r - 88/5.
-2*(r - 11)*(r - 4)/5
What is m in -512*m**4/3 + 1472*m**3/3 + 746*m**2 + 262*m/3 + 8/3 = 0?
-1, -1/16, 4
Factor -4*c**2 - 268*c - 1240.
-4*(c + 5)*(c + 62)
What is a in 2*a**2 - 22*a - 24 = 0?
-1, 12
Find d, given that 65*d**5/3 + 965*d**4/3 + 3035*d**3/3 + 3215*d**2/3 + 860*d/3 - 220/3 = 0.
-11, -2, -1, 2/13
Factor -2*l**4/3 + 8*l**3 + 18*l**2 + 28*l/3.
-2*l*(l - 14)*(l + 1)**2/3
Factor q**3 - 214*q**2 - 431*q - 216.
(q - 216)*(q + 1)**2
Suppose o**4 - 65*o**3 + 63*o**2 + 65*o - 64 = 0. What is o?
-1, 1, 64
Let 80*l**4 + 440*l**3 - 3795*l**2 - 1975*l - 250 = 0. Calculate l.
-10, -1/4, 5
Find b, given that -3*b**4 + 84*b**3 + 2574*b**2 + 4884*b + 2397 = 0.
-17, -1, 47
Factor -2*n**2/7 - 130*n/7 - 1632/7.
-2*(n + 17)*(n + 48)/7
Factor o**2/4 + 53*o/2 + 2809/4.
(o + 53)**2/4
Determine h, given that -5*h**2/3 - 295*h - 880/3 = 0.
-176, -1
Determine j so that j**2/6 + 10*j/3 - 7/2 = 0.
-21, 1
Factor 5*w**3/3 + 395*w**2/3 + 3575*w/3 + 2875.
5*(w + 5)**2*(w + 69)/3
Factor 3*l**4/4 + 21*l**3/4 + 21*l**2/2 + 6*l.
3*l*(l + 1)*(l + 2)*(l + 4)/4
Suppose -4*b**2 - 7712*b - 3717184 = 0. What is b?
-964
Factor 75*n**3 - 2460*n**2 + 1932*n - 384.
3*(n - 32)*(5*n - 2)**2
Factor -2*y**2/3 + 146*y/3 - 680/3.
-2*(y - 68)*(y - 5)/3
Factor 2*q**2/3 - 194*q/3 - 196/3.
2*(q - 98)*(q + 1)/3
Factor 2*h**2/13 - 1480*h/13 - 114.
2*(h - 741)*(h + 1)/13
Suppose 6*j**4/5 - 44*j**3/5 - 86*j**2/5 - 36*j/5 = 0. What is j?
-1, -2/3, 0, 9
Factor 3*g**3 - 1095*g**2 + 4344*g - 4332.
3*(g - 361)*(g - 2)**2
What is k in k**4/4 + 9*k**3/4 + 5*k**2 + 3*k = 0?
-6, -2, -1, 0
Determine o so that -30*o**5 + 141*o**4 - 225*o**3 + 129*o**2 + 3*o - 18 = 0.
-3/10, 1, 2
Determine b so that -b**5/8 + 9*b**3/8 + b**2/2 - 3*b/2 = 0.
-2, 0, 1, 3
Factor c**3/2 + 27*c**2/2 - 83*c - 96.
(c - 6)*(c + 1)*(c + 32)/2
Factor -2*x**3/19 - 478*x**2/19 - 1888*x/19 - 1880/19.
-2*(x + 2)**2*(x + 235)/19
Factor 15*u**4 + 5*u**3 - 45*u**2 - 45*u - 10.
5*(u - 2)*(u + 1)**2*(3*u + 1)
Factor -4*q**3/5 + 2096*q**2/5 - 272468*q/5 - 553352/5.
-4*(q - 263)**2*(q + 2)/5
Determine i, given that -2*i**2 - 16*i + 18 = 0.
-9, 1
Factor 3*o**4 + 42*o