*v**2/5 - 54*v/5 = 0.
0, 1, 18/7
Factor 4*n**4/5 - 16*n**3/5 - 76*n**2/5 - 56*n/5.
4*n*(n - 7)*(n + 1)*(n + 2)/5
What is u in u**3/2 + 579*u**2/2 + 84099*u/2 + 83521/2 = 0?
-289, -1
Factor -2*c**2 - 46*c/11 - 4/11.
-2*(c + 2)*(11*c + 1)/11
Let 2*s**5 - 808*s**4/7 + 3590*s**3/7 - 700*s**2 + 1256*s/7 + 848/7 = 0. What is s?
-2/7, 1, 2, 53
Factor -s**5/3 - 156*s**4 + 470*s**3 - 1412*s**2/3 + 157*s.
-s*(s - 1)**3*(s + 471)/3
Suppose 2*q**2 + 320*q - 1312 = 0. Calculate q.
-164, 4
Factor -3*y**2/5 + 498*y/5.
-3*y*(y - 166)/5
Determine r, given that 3*r**4/4 - 21*r**3 - 87*r**2/4 = 0.
-1, 0, 29
Suppose 2*l**2/5 + 1936*l/5 + 468512/5 = 0. Calculate l.
-484
Factor -27*z**4 + 5922*z**3 - 7860*z**2 + 2616*z.
-3*z*(z - 218)*(3*z - 2)**2
Suppose 5*f**4/2 - 11*f**3/2 - 13*f**2/2 + 3*f/2 = 0. Calculate f.
-1, 0, 1/5, 3
Solve 2*i**4/9 + 14*i**3/9 + 20*i**2/9 = 0 for i.
-5, -2, 0
Let b**3 + 38*b**2 + 361*b = 0. Calculate b.
-19, 0
Factor -15*n**3 - 65*n**2 - 40*n + 60.
-5*(n + 2)*(n + 3)*(3*n - 2)
Factor 3*k**5 + 195*k**4 + 192*k**3.
3*k**3*(k + 1)*(k + 64)
Let 2*o**2/13 - 12*o/13 - 14/13 = 0. Calculate o.
-1, 7
Find o such that 98*o**4 + 504*o**3 + 4*o**2 - 312*o + 90 = 0.
-5, -1, 3/7
Factor -3*a**2 + 600*a + 3708.
-3*(a - 206)*(a + 6)
Suppose 2*s**3/9 - 8*s**2/9 - 8*s/3 = 0. Calculate s.
-2, 0, 6
Find q such that -4*q**4 + 124*q**3 - 236*q**2 + 116*q = 0.
0, 1, 29
Solve -15*c**5 + 129*c**4 + 69*c**3 - 129*c**2 - 54*c = 0 for c.
-1, -2/5, 0, 1, 9
Factor -3*o**3 + 48*o**2 - 39*o - 90.
-3*(o - 15)*(o - 2)*(o + 1)
Factor -3*m**4/5 - 72*m**3/5 + 15*m**2.
-3*m**2*(m - 1)*(m + 25)/5
Factor -u**2 - 1879*u - 1878.
-(u + 1)*(u + 1878)
Solve -3*j**4 + 3*j**3 + 6*j**2 = 0 for j.
-1, 0, 2
Let -2*n**2/7 + 2*n/7 + 4/7 = 0. What is n?
-1, 2
Solve -5*h**2 - 115*h - 110 = 0 for h.
-22, -1
Let 2*x**4/5 - 76*x**3/5 - 102*x**2 - 792*x/5 = 0. What is x?
-3, 0, 44
Factor 2*v**3/5 - 1308*v**2/5.
2*v**2*(v - 654)/5
Solve -14*y**2/9 - 6*y + 8/9 = 0 for y.
-4, 1/7
Factor 5*z**2 - 160*z + 1280.
5*(z - 16)**2
Factor 2*s**2/13 + 96*s/13 + 864/13.
2*(s + 12)*(s + 36)/13
Suppose 5*a**4/2 + 45*a**3/2 + 75*a**2/2 + 35*a/2 = 0. What is a?
-7, -1, 0
Factor -i**2/3 - 4*i - 20/3.
-(i + 2)*(i + 10)/3
Determine h, given that -h**5 - 11*h**4 + 72*h**3 - 124*h**2 + 64*h = 0.
-16, 0, 1, 2
Let 5*r**2 - 110*r = 0. Calculate r.
0, 22
Factor 4*x**4/3 - 37*x**3/3 + 23*x**2 - 43*x/3 + 7/3.
(x - 7)*(x - 1)**2*(4*x - 1)/3
Factor -2*b**3/7 - 92*b**2/7 + 2*b/7 + 92/7.
-2*(b - 1)*(b + 1)*(b + 46)/7
Factor c**4/3 - 5*c**3/6 + c**2/3.
c**2*(c - 2)*(2*c - 1)/6
Factor 3*w**3/7 + 15*w**2/7 + 24*w/7 + 12/7.
3*(w + 1)*(w + 2)**2/7
Find r such that -2*r**5 + 18*r**4 - 4*r**3 - 96*r**2 = 0.
-2, 0, 3, 8
Find s such that 2*s**2/3 + 88*s/3 - 184/3 = 0.
-46, 2
Factor -4*c**2 - 84*c - 152.
-4*(c + 2)*(c + 19)
Determine v, given that 5*v**3 - 46170*v**2 + 106583445*v = 0.
0, 4617
Solve 4*k**3 - 11544*k**2 + 11105328*k - 3561108512 = 0.
962
Factor -153*r**3/7 - 915*r**2/7 + 18*r/7.
-3*r*(r + 6)*(51*r - 1)/7
Factor 2*v**2 - 54*v - 56.
2*(v - 28)*(v + 1)
Factor -z**2 - 179*z - 178.
-(z + 1)*(z + 178)
Let 2*q**3/7 - 144*q**2/7 + 3456*q/7 - 27648/7 = 0. Calculate q.
24
Factor -2*k**3/15 + 4*k**2/3 + 104*k/15 + 112/15.
-2*(k - 14)*(k + 2)**2/15
What is o in -4*o**5 + 8*o**4 + 40*o**3 - 32*o**2 - 132*o - 72 = 0?
-2, -1, 3
Let -79*x**3/4 + 199*x**2 - 2035*x/4 + 75/2 = 0. Calculate x.
6/79, 5
What is f in 3*f**2/4 - 465*f/4 - 711/2 = 0?
-3, 158
Let 2*o**2/23 + 1232*o/23 = 0. What is o?
-616, 0
What is b in 2*b**3 + 30*b**2 + 88*b - 120 = 0?
-10, -6, 1
Solve -2*d**4 - 8436*d**3 - 11861016*d**2 - 5558862832*d = 0.
-1406, 0
Solve -4*c**3/5 + 364*c**2/5 - 5916*c/5 - 114444/5 = 0.
-11, 51
Factor -2*l**2 + 384*l + 776.
-2*(l - 194)*(l + 2)
Suppose -3*k**3 + 75*k**2 - 141*k + 69 = 0. What is k?
1, 23
What is f in f**3/10 + 123*f**2/10 + 181*f/5 + 24 = 0?
-120, -2, -1
Determine m, given that 4*m**5/5 + 11*m**4/5 - 6*m**3/5 - 5*m**2 + 4*m/5 + 12/5 = 0.
-2, -3/4, 1
Determine y, given that -2*y**2 + 8*y + 280 = 0.
-10, 14
Find w such that -3*w**2 - 6*w + 72 = 0.
-6, 4
Suppose -s**3 + 133*s**2 - 1488*s + 4356 = 0. Calculate s.
6, 121
Factor r**4/4 - 3*r**3/2 + r**2 + 3*r/2 - 5/4.
(r - 5)*(r - 1)**2*(r + 1)/4
Determine n so that -2*n**4 + 12*n**3 + 46*n**2 - 120*n + 64 = 0.
-4, 1, 8
Factor 3*j**2 + 39*j + 108.
3*(j + 4)*(j + 9)
Solve 648*k**3 - 324*k**2 + 54*k - 3 = 0.
1/6
Let 2*n**2/17 - 416*n/17 - 840/17 = 0. Calculate n.
-2, 210
Solve 3*z**5 - 2280*z**4 - 4572*z**3 = 0.
-2, 0, 762
Factor 4*n**2 - 388*n + 760.
4*(n - 95)*(n - 2)
Solve -d**5 + 5*d**4 + 6*d**3 = 0 for d.
-1, 0, 6
Solve -2*d**3/5 + 536*d**2/5 + 2*d/5 - 536/5 = 0.
-1, 1, 268
Determine o so that 2*o**3 - 92*o**2 + 770*o = 0.
0, 11, 35
Find y such that -21*y**5/5 + 27*y**4/5 - 6*y**3/5 = 0.
0, 2/7, 1
Determine f, given that 2*f**5/5 - 4*f**4/5 - 24*f**3/5 - 28*f**2/5 - 2*f = 0.
-1, 0, 5
Let b**2/6 + 39*b + 4563/2 = 0. What is b?
-117
What is x in x**2/2 - 232*x + 26912 = 0?
232
Factor 3*w**5 - 48*w**4 + 18*w**3 + 372*w**2 + 483*w + 180.
3*(w - 15)*(w - 4)*(w + 1)**3
Factor -4*h**2 + 104*h - 100.
-4*(h - 25)*(h - 1)
Find j, given that -j**4/10 + j**3/5 + 3*j**2/10 - 4*j/5 + 2/5 = 0.
-2, 1, 2
Factor 2*t**3 + 208*t**2 + 5610*t + 10404.
2*(t + 2)*(t + 51)**2
Let -3*i**4/2 + 27*i**3/2 + 99*i**2/2 + 105*i/2 + 18 = 0. What is i?
-1, 12
Let l**3/3 - 56*l**2/3 + 784*l/3 = 0. Calculate l.
0, 28
Factor -5*d**3/6 - 907*d**2/3 + 2183*d/6 - 182/3.
-(d - 1)*(d + 364)*(5*d - 1)/6
Let 2*j**4 + 3*j**3/2 - 105*j**2/2 + 61*j - 12 = 0. Calculate j.
-6, 1/4, 1, 4
Factor 5*o**2 - 255*o.
5*o*(o - 51)
Let 76*l**2/17 + 614*l/17 + 48/17 = 0. What is l?
-8, -3/38
Factor -g**5/3 + g**4/3 + 2*g**3 + 2*g**2/3 - 5*g/3 - 1.
-(g - 3)*(g - 1)*(g + 1)**3/3
Factor 2*i**2 - 28*i - 144.
2*(i - 18)*(i + 4)
Factor -2*u**4/5 + 18*u**3/5 - 28*u**2/5 - 48*u/5.
-2*u*(u - 6)*(u - 4)*(u + 1)/5
Factor -r**2/4 + 31*r/4 + 231/2.
-(r - 42)*(r + 11)/4
Determine r, given that -5*r**2 + 470*r + 1455 = 0.
-3, 97
Solve 5*l**3/4 - 25*l**2 - 45*l/4 + 225 = 0.
-3, 3, 20
Let -8*s**4/5 + 6*s**3 - 32*s**2/5 + 6*s/5 + 4/5 = 0. What is s?
-1/4, 1, 2
Find f, given that 10*f**3 - 225*f**2 + 510*f - 200 = 0.
1/2, 2, 20
Determine o, given that 20*o**4 - 128*o**3 + 268*o**2 - 208*o + 48 = 0.
2/5, 1, 2, 3
Let 2*w**3 - 52*w**2/7 + 40*w/7 + 16/7 = 0. Calculate w.
-2/7, 2
Find k, given that 4*k**2/9 - 34*k/9 - 28/3 = 0.
-2, 21/2
Let o**5/4 - o**4/4 - 9*o**3/4 + 13*o**2/4 + 2*o - 3 = 0. Calculate o.
-3, -1, 1, 2
Factor -k**4 + 5*k**3 - 9*k**2 + 7*k - 2.
-(k - 2)*(k - 1)**3
Determine t, given that 2*t**5/9 + 16*t**4/9 - 2*t**3/9 - 136*t**2/9 - 56*t/3 = 0.
-7, -2, 0, 3
Solve 2*n**3/13 - 158*n**2/13 + 3344*n/13 - 8664/13 = 0.
3, 38
Factor -j**2 + 85*j.
-j*(j - 85)
Factor -2*l**4/7 + 2*l**3/7 + 4*l**2/7.
-2*l**2*(l - 2)*(l + 1)/7
Factor 2*n**2/7 - 1408*n/7.
2*n*(n - 704)/7
Determine f, given that 146*f**5/11 + 2338*f**4/11 + 6748*f**3/11 - 20932*f**2/11 + 11538*f/11 + 162/11 = 0.
-9, -1/73, 1
Factor -34*u**2 + 106*u - 12.
-2*(u - 3)*(17*u - 2)
Factor 62*a**2/17 + 56*a/17 - 6/17.
2*(a + 1)*(31*a - 3)/17
Find p, given that 5*p**3 + 185*p**2 - 5*p - 185 = 0.
-37, -1, 1
Factor -3*g**2/5 + 276*g/5 - 6348/5.
-3*(g - 46)**2/5
Solve -5*q**4/4 + 45*q**3/2 + 295*q**2/4 - 1575*q - 6125 = 0.
-5, 14
Find t such that 4*t**2 + 136*t + 256 = 0.
-32, -2
Solve 4*h**5/7 - 48*h**4/7 + 152*h**3/7 + 64*h**2/7 - 540*h/7 - 400/7 = 0 for h.
-1, 4, 5
Find g, given that -14884*g**2 + 4392*g - 324 = 0.
9/61
Factor -r**4/3 + 2*r**3 - 3*r**2 + 4*r/3.
-r*(r - 4)*(r - 1)**2/3
Factor 21*y**2/5 + 3*y/5.
3*y*(7*y + 1)/5
Determine u so that 5*u**3 + 2165*u**2 - 4350*u = 0.
-435, 0, 2
Factor -3*g**5 - 126*g**4 - 243*g**3 - 120*g**2.
-3*g**2*(g + 1)**2*(g + 40)
Factor -2*i**3/9 - 26*i**2/9.
-2*i**2*(i + 13)/9
Factor n**2/2 + 78*n - 158.
(n - 2)*(n + 158)/2
Find p, given that 4*p**3 + 836*p**2 + 3292*p + 2460 = 0.
-205, -3, -1
Factor -2*x**2/5 - 1080*x + 5402/5.
-2*(x - 1)*(x + 2701)/5
Determine j so that 2*j**2/9 - 8*j/9 - 14/3 = 0.
-3, 7
Factor -32*n**4/9 - 176*n**3/9 - 194*n**2/9 + 44*n/3 - 2.
-2*(n + 3)**2*(4*n - 1)**2/9
Solve 95*l**2 + 1255*l + 260 = 0.
-13, -4/19
Determine j so that 3*j**5 + 795*j**4 + 70488*j**3 + 2114112*j**2 + 2044416*j = 0.
-88, -1, 0
Solve -20*k**5 - 12*k**4 + 348*k