-16*f**2/5 - 1346*f/5 - 168/5.
-2*(f + 84)*(8*f + 1)/5
Let 2*v**2 - 32*v + 128 = 0. Calculate v.
8
Determine b, given that 22*b**2/5 - 14*b/5 - 12 = 0.
-15/11, 2
Suppose -3*m**2/4 + 69*m/4 - 153/2 = 0. Calculate m.
6, 17
Suppose -2*r**2/9 + 40*r/3 - 200 = 0. Calculate r.
30
Find r, given that 144*r**5 - 32*r**4 - 189*r**3 + 87*r**2 - 10*r = 0.
-5/4, 0, 2/9, 1/4, 1
Determine u, given that 4*u**2/7 + 40*u/7 - 156/7 = 0.
-13, 3
Factor 4*q**3/5 - 44*q**2/5 - 5944*q/5 + 5984/5.
4*(q - 44)*(q - 1)*(q + 34)/5
Solve -3*u**4 + 26*u**3 - 13*u**2 - 26*u + 16 = 0.
-1, 2/3, 1, 8
Let -3*z**3/5 + 366*z**2/5 - 9984*z/5 - 73728/5 = 0. What is z?
-6, 64
Let -4*c**5 + 36*c**3 = 0. Calculate c.
-3, 0, 3
Let -8*k**5 + 4034*k**4/3 - 57880*k**3 + 115038*k**2 - 27556*k/3 = 0. Calculate k.
0, 1/12, 2, 83
Factor q**4/4 - 235*q**3/4 + 1383*q**2/4 - 2065*q/4 + 229.
(q - 229)*(q - 4)*(q - 1)**2/4
Factor h**2/2 + 406*h + 82418.
(h + 406)**2/2
Find i such that -5*i**2 + 395*i - 2840 = 0.
8, 71
Factor -2*p**5/13 - 14*p**4/13 - 32*p**3/13 - 24*p**2/13.
-2*p**2*(p + 2)**2*(p + 3)/13
Factor -3*w**3/2 - 31*w**2/4 - 11*w - 19/4.
-(w + 1)**2*(6*w + 19)/4
Suppose -2*n**4 + 30*n**3 + 32*n**2 = 0. Calculate n.
-1, 0, 16
Factor 5*v**4 - 1480*v**3 + 104990*v**2 + 670440*v + 1026045.
5*(v - 151)**2*(v + 3)**2
Factor -4*k**2 + 100.
-4*(k - 5)*(k + 5)
Suppose -2*s**5/21 + 2*s**4/21 + 460*s**3/21 - 4700*s**2/21 + 17750*s/21 - 23750/21 = 0. Calculate s.
-19, 5
Suppose -c**4/5 - 61*c**3/5 - 342*c**2/5 - 668*c/5 - 88 = 0. What is c?
-55, -2
Factor p**4 + 21*p**3 + 123*p**2 + 155*p - 300.
(p - 1)*(p + 5)**2*(p + 12)
Find g such that -2*g**5/13 + 14*g**4/13 + 8*g**3/13 - 56*g**2/13 = 0.
-2, 0, 2, 7
Find c, given that -4*c**2 + 25*c + 66 = 0.
-2, 33/4
Let w**3 + 8*w**2 - 20*w = 0. What is w?
-10, 0, 2
Factor -4*x**2 - 112*x - 300.
-4*(x + 3)*(x + 25)
Factor -x**4 + 10*x**3 - 29*x**2 + 20*x.
-x*(x - 5)*(x - 4)*(x - 1)
Find p, given that -5*p**2 + 32*p + 21 = 0.
-3/5, 7
What is m in m**4 + 8*m**3/3 + m**2 - 2*m/3 = 0?
-2, -1, 0, 1/3
Factor 3*c**4/5 - 162*c**3/5 + 2487*c**2/5 - 1620*c + 1500.
3*(c - 25)**2*(c - 2)**2/5
Factor -4*j**3 + 136*j**2 + 284*j + 144.
-4*(j - 36)*(j + 1)**2
Determine p so that -6*p**2/5 + 3999*p/5 + 2001/5 = 0.
-1/2, 667
Let 2*d**3/3 + 10*d**2/3 - 4*d = 0. What is d?
-6, 0, 1
Solve 5*o**3/2 - 6*o**2 - 9*o/2 = 0 for o.
-3/5, 0, 3
Factor -z**4 - 16*z**3 - 15*z**2.
-z**2*(z + 1)*(z + 15)
Let 5*o**3 - 440*o**2 + 12480*o - 115200 = 0. Calculate o.
24, 40
Factor -5*u**3 + 35*u**2 - 30*u.
-5*u*(u - 6)*(u - 1)
Find k, given that -4*k**3 - 28*k**2 + 216*k - 288 = 0.
-12, 2, 3
Solve 2*j**2/3 - 2722*j/3 + 2720/3 = 0 for j.
1, 1360
Let -d**3/3 - 85*d**2/3 - 167*d/3 - 83/3 = 0. Calculate d.
-83, -1
Factor 3*f**4/2 - 870*f**3 + 189225*f**2 - 18291750*f + 1326151875/2.
3*(f - 145)**4/2
Factor -s**4/3 - 56*s**3 - 659*s**2/3 - 164*s.
-s*(s + 1)*(s + 3)*(s + 164)/3
Suppose -2*q**3/3 + 34*q**2 - 1312*q/3 + 744 = 0. What is q?
2, 18, 31
Determine a so that -3*a**3 - 12*a**2 + 36*a = 0.
-6, 0, 2
Factor v**2 + 68*v.
v*(v + 68)
Factor -3*a**3 + 420*a**2 - 9399*a + 57798.
-3*(a - 114)*(a - 13)**2
Suppose a**4/3 + 6*a**3 + 27*a**2 + 112*a/3 + 16 = 0. Calculate a.
-12, -4, -1
Solve 9*y**4/4 - 129*y**3/4 - 89*y**2/4 - 15*y/4 = 0 for y.
-1/3, 0, 15
Factor -2*u**4 - 20*u**3 + 1008*u**2 - 8428*u + 21266.
-2*(u - 7)**3*(u + 31)
Factor -2*m**2 + 64*m - 120.
-2*(m - 30)*(m - 2)
Let -r**4/3 + 23*r**3/3 - 143*r**2/3 + 121*r/3 = 0. Calculate r.
0, 1, 11
Factor h**3 + 30*h**2 + 104*h.
h*(h + 4)*(h + 26)
Find v such that -v**5 + 8*v**4 - 24*v**3 + 34*v**2 - 23*v + 6 = 0.
1, 2, 3
Factor 4*u**2/7 - 24*u/7 - 64/7.
4*(u - 8)*(u + 2)/7
Solve 8*d**4/7 - 194*d**3/7 - 1328*d**2/7 - 1576*d/7 + 480/7 = 0 for d.
-4, -2, 1/4, 30
Factor 4*n**3 - 96*n**2 + 92*n.
4*n*(n - 23)*(n - 1)
Let -39*v**3 - 3*v**2/2 = 0. What is v?
-1/26, 0
Find f, given that -f**4/7 - 47*f**3/7 - 135*f**2/7 - 19*f - 44/7 = 0.
-44, -1
Factor b**2/6 + 11*b/2 - 140/3.
(b - 7)*(b + 40)/6
Determine j, given that 3*j**3 - 33*j**2 - 411*j - 855 = 0.
-5, -3, 19
Factor -2*k**3 - 26*k**2 - 24*k.
-2*k*(k + 1)*(k + 12)
Let -22*g**4/13 - 2*g**3 + 1228*g**2/13 - 2944*g/13 - 576/13 = 0. What is g?
-9, -2/11, 4
Find u, given that 2*u**3/5 + 74*u**2/5 - 236*u/5 + 32 = 0.
-40, 1, 2
Find l, given that l**5/3 + 19*l**4/3 - 7*l**3 - 19*l**2/3 + 20*l/3 = 0.
-20, -1, 0, 1
Let 144*k**3 - 260*k**2 - 56*k = 0. What is k?
-7/36, 0, 2
Factor -2*w**2 + 1436*w + 1438.
-2*(w - 719)*(w + 1)
Factor -15*m**4 + 21*m**3 - 33*m**2/5 + 3*m/5.
-3*m*(m - 1)*(5*m - 1)**2/5
Find w such that -2*w**4 - 7*w**3/2 + 9*w**2 + 14*w - 4 = 0.
-2, 1/4, 2
Factor 2*q**2/5 - 804*q/5 - 486.
2*(q - 405)*(q + 3)/5
What is x in 4*x**5/3 + 32*x**4/9 - 32*x**3/3 - 152*x**2/9 + 92*x/3 - 8 = 0?
-3, 1/3, 1, 2
Factor -20*c**3 - 30748*c**2 - 11808764*c + 7096332.
-4*(c + 769)**2*(5*c - 3)
Determine c, given that 5*c**5/7 - 1122*c**4/7 + 62038*c**3/7 + 101924*c**2/7 + 13221*c/7 - 25538/7 = 0.
-1, 2/5, 113
Let x**5/3 + 20*x**4/3 + 41*x**3 + 280*x**2/3 + 176*x/3 = 0. What is x?
-11, -4, -1, 0
Factor -q**3/4 - q**2/3 - q/12.
-q*(q + 1)*(3*q + 1)/12
Let -3*b**3/7 + 66*b**2/7 - 372*b/7 + 72 = 0. Calculate b.
2, 6, 14
Suppose p**5/5 - 8*p**4/5 - 38*p**3/5 + 52*p**2/5 + 37*p/5 - 44/5 = 0. Calculate p.
-4, -1, 1, 11
Factor -3*g**4/7 + 3270*g**3/7 - 891075*g**2/7.
-3*g**2*(g - 545)**2/7
Solve b**4 - 57*b**3 + 783*b**2 + 841*b = 0 for b.
-1, 0, 29
Factor -27*c**5/2 - 15*c**4/2 + 6*c**3.
-3*c**3*(c + 1)*(9*c - 4)/2
Find h, given that h**4/10 - 29*h**3/10 - h**2/10 + 29*h/10 = 0.
-1, 0, 1, 29
Factor 2*j**2/5 - 108*j - 542/5.
2*(j - 271)*(j + 1)/5
Solve 2*w**5/21 + 332*w**4/7 + 41334*w**3/7 = 0 for w.
-249, 0
Factor 2*m**3/5 + 334*m**2/5 + 14432*m/5 + 40344/5.
2*(m + 3)*(m + 82)**2/5
Factor 4*x**2 - 108*x + 104.
4*(x - 26)*(x - 1)
Factor -n**2/3 - 62*n/3 - 961/3.
-(n + 31)**2/3
What is a in -a**2 - 15*a - 26 = 0?
-13, -2
Suppose 4*g**5 - 28*g**4 + 16*g**3 + 48*g**2 = 0. What is g?
-1, 0, 2, 6
Let j**4 - j**3 - 15*j**2 + 9*j + 54 = 0. Calculate j.
-3, -2, 3
Find x, given that 3*x**4/7 + 36*x**3 + 1008*x**2 + 9408*x = 0.
-28, 0
Factor -m**2 - 70*m - 201.
-(m + 3)*(m + 67)
Factor x**3/3 + 493*x**2 + 243049*x + 119823157/3.
(x + 493)**3/3
Factor -w**3 - 12*w**2 - 29*w - 18.
-(w + 1)*(w + 2)*(w + 9)
Find r such that 10*r**2/13 - 6*r/13 - 4 = 0.
-2, 13/5
Let 5*p**2 - 500*p + 980 = 0. What is p?
2, 98
Factor -2*s**2 - 666*s + 668.
-2*(s - 1)*(s + 334)
Factor p**2 - 2*p - 15.
(p - 5)*(p + 3)
Factor 289*v**3 - 1105*v**2 + 1392*v - 576.
(v - 1)*(17*v - 24)**2
Factor 28*t**2 - 264*t + 540.
4*(t - 3)*(7*t - 45)
Let -2*p**4/11 - 2*p**3 - 78*p**2/11 - 90*p/11 = 0. What is p?
-5, -3, 0
What is u in 2*u**4 - 720*u**3 + 64074*u**2 + 131044*u = 0?
-2, 0, 181
Let 3*q**3 - 84*q - 144 = 0. Calculate q.
-4, -2, 6
Solve 10*o**3 - 85*o**2 + 165*o - 90 = 0.
1, 3/2, 6
Suppose -3*d**4/4 - 21*d**3/4 + 51*d**2/4 + 189*d/4 - 54 = 0. Calculate d.
-8, -3, 1, 3
Let 2*c**3/15 - 248*c**2/15 + 98*c/3 - 244/15 = 0. What is c?
1, 122
Suppose -2*j**2/5 + 342*j/5 - 2296/5 = 0. Calculate j.
7, 164
Factor 3*o**3 - 1242*o**2 + 171396*o - 7884216.
3*(o - 138)**3
Factor 2*l**3/5 - 118*l**2/5 + 244*l - 1104/5.
2*(l - 46)*(l - 12)*(l - 1)/5
Factor 2*b**5 - 6*b**4 - 30*b**3 - 34*b**2 - 12*b.
2*b*(b - 6)*(b + 1)**3
Suppose 5*u**5 + 190*u**4 - 10*u**3 - 380*u**2 + 5*u + 190 = 0. What is u?
-38, -1, 1
Factor 2*g**4/3 + 14*g**3/3 + 2*g**2 - 62*g/3 + 40/3.
2*(g - 1)**2*(g + 4)*(g + 5)/3
Solve h**5 + 49*h**4 + 670*h**3 + 1726*h**2 + 1633*h + 529 = 0.
-23, -1
Let u**4 - 2*u**3 - 7*u**2 + 20*u - 12 = 0. What is u?
-3, 1, 2
Find t, given that 12*t**2 + 1071*t - 810 = 0.
-90, 3/4
Determine g, given that -g**3/5 + 34*g**2/5 - 76*g + 280 = 0.
10, 14
Find t, given that -15*t**2 + 21*t + 882 = 0.
-7, 42/5
Determine c so that -3*c**4 + 93*c**3 + 306*c**2 + 12*c - 408 = 0.
-2, 1, 34
Factor 2*t**4/7 + 66*t**3/7 + 18*t**2 + 62*t/7.
2*t*(t + 1)**2*(t + 31)/7
Factor 16*y**2/9 + 58*y/9 - 8/3.
2*(y + 4)*(8*y - 3)/9
Solve -15*z**5/2 - 73*z**4/2 + 55*z**3/2 + 249*z**2/2 + 58*z - 10 = 0 for z.
-5, -1, 2/15, 2
Determine n, given that -5*n**4 + 690*n**3 + 695*n**2 = 0.
-1, 0, 139
Let -11*x**2/4 - 569*x/4 + 39 = 0. What is x?
-52, 3/11
Factor -l**4/11 + 19*l**3/11 + 63*l**2/11 + 65*l/11 + 2.
-(l - 