ve -2*v**2/11 + 676*v - 628342 = 0.
1859
Suppose 3*g**4 - 27*g**3 + 33*g**2 + 63*g = 0. What is g?
-1, 0, 3, 7
Let -5*n**4 + 230*n**3 - 660*n**2 + 650*n - 215 = 0. What is n?
1, 43
Factor -t**2/6 - 361*t/6.
-t*(t + 361)/6
Solve 27*k**5 + 747*k**4 + 4134*k**3 + 7614*k**2 + 3807*k + 567 = 0.
-21, -3, -1/3
Solve 3*o**5/4 + 27*o**4/4 + 27*o**3/2 - 3*o**2 - 18*o = 0 for o.
-6, -2, 0, 1
Suppose 5*o**2 + 225*o + 1480 = 0. Calculate o.
-37, -8
Factor 2*c**2/3 - 6664*c/3 + 5551112/3.
2*(c - 1666)**2/3
Find f such that -5*f**2 + 2510*f - 315005 = 0.
251
Let -y**2/5 - 2168*y/5 - 1175056/5 = 0. What is y?
-1084
Factor 3*n**4 + 30*n**3 - 636*n**2 + 1170*n - 567.
3*(n - 9)*(n - 1)**2*(n + 21)
Factor 21*b**4 + 27*b**3 - 36*b**2 - 12*b.
3*b*(b - 1)*(b + 2)*(7*b + 2)
Factor 5*i**2 + 85*i + 150.
5*(i + 2)*(i + 15)
Factor -2*p**3/5 + 292*p**2 + 2926*p/5 + 1464/5.
-2*(p - 732)*(p + 1)**2/5
Factor -2*t**3/5 - 8*t**2 + 184*t/5 - 192/5.
-2*(t - 2)**2*(t + 24)/5
Determine u so that u**4/3 - 2*u**3/3 - u**2/3 + 2*u/3 = 0.
-1, 0, 1, 2
Factor -4*o**2 - 20*o + 96.
-4*(o - 3)*(o + 8)
Factor 4*o**4/9 - 560*o**3/9 + 9776*o**2/3 - 680960*o/9 + 5914624/9.
4*(o - 38)**2*(o - 32)**2/9
Find q such that q**2 + 62*q + 672 = 0.
-48, -14
Suppose -4*m**3 - 8*m**2 = 0. What is m?
-2, 0
Let 4*y**5 - 76*y**4 + 304*y**3 + 704*y**2 - 1280*y - 1600 = 0. Calculate y.
-2, -1, 2, 10
What is b in b**3/3 - 204*b**2 + 41616*b - 2829888 = 0?
204
Find h, given that -2*h**2/3 + 58*h/3 - 56/3 = 0.
1, 28
Solve w**3/2 + 117*w**2/2 + 3363*w/2 - 3481/2 = 0 for w.
-59, 1
Suppose g**2/4 - 5*g/4 = 0. What is g?
0, 5
Factor n**2/8 - 21*n + 167/8.
(n - 167)*(n - 1)/8
Determine c so that 4*c**2 + 288*c + 560 = 0.
-70, -2
Find j such that 2*j**5/9 - 700*j**4/3 + 245000*j**3/3 - 85750000*j**2/9 = 0.
0, 350
Suppose -7*i**3 + 33*i**2 - 32*i - 12 = 0. Calculate i.
-2/7, 2, 3
Suppose 3*g**4/8 + 3*g**3/8 - 9*g**2/4 = 0. What is g?
-3, 0, 2
Factor 20*h**2 - 148*h + 264.
4*(h - 3)*(5*h - 22)
Factor -5*f**5/3 - 55*f**4/3 - 70*f**3 - 340*f**2/3 - 200*f/3.
-5*f*(f + 2)**3*(f + 5)/3
Factor t**5/2 + 6*t**4 + 45*t**3/2 + 27*t**2.
t**2*(t + 3)**2*(t + 6)/2
Factor -2*u**3/5 + 24*u**2/5 - 22*u/5.
-2*u*(u - 11)*(u - 1)/5
Factor -3*v**4 - 12*v**3 - 15*v**2 - 6*v.
-3*v*(v + 1)**2*(v + 2)
Factor j**4 - 63*j**3 + 891*j**2 + 3267*j.
j*(j - 33)**2*(j + 3)
Let -9*j**3/2 - 18*j**2 - 29*j/2 - 3 = 0. What is j?
-3, -2/3, -1/3
Factor -j**4/2 - 3*j**3/2 + 5*j**2/2 + 3*j/2 - 2.
-(j - 1)**2*(j + 1)*(j + 4)/2
Solve n**3/10 + 603*n**2/10 + 121203*n/10 + 8120601/10 = 0.
-201
Find u such that u**5/5 + 21*u**4/5 + 11*u**3 + 3*u**2 - 56*u/5 - 36/5 = 0.
-18, -2, -1, 1
Determine r, given that -3*r**5 - 114*r**4 + 6*r**3 + 228*r**2 - 3*r - 114 = 0.
-38, -1, 1
Find f, given that f**4 - 20*f**3 - 126*f**2 + 20*f + 125 = 0.
-5, -1, 1, 25
Determine h so that 5*h**4 + 7860*h**3 + 4633470*h**2 + 1213969140*h + 119272468005 = 0.
-393
Solve 8*n**5/7 - 30*n**4/7 + 40*n**3/7 - 20*n**2/7 + 2/7 = 0 for n.
-1/4, 1
Suppose -35*b**4 - 200*b**3 + 60*b**2 = 0. What is b?
-6, 0, 2/7
Solve 4*y**2/7 + 72*y/7 = 0.
-18, 0
Let -5*h**4 + 25*h**3 + 95*h**2 - 325*h - 750 = 0. What is h?
-3, -2, 5
Let -4*a**5 + 30*a**4 - 52*a**3 + 6*a**2 + 20*a = 0. What is a?
-1/2, 0, 1, 2, 5
Factor b**2 + 246*b.
b*(b + 246)
What is a in -9*a**5 + 33*a**4 - 9*a**3 - 33*a**2 + 18*a = 0?
-1, 0, 2/3, 1, 3
Factor 4*v**4 + 2680*v**3 + 8012*v**2 + 5336*v.
4*v*(v + 1)*(v + 2)*(v + 667)
Find w, given that 51*w**5/4 + 453*w**4/4 + 711*w**3/4 + 267*w**2/4 - 21*w/2 = 0.
-7, -1, 0, 2/17
Factor -c**4/4 - 35*c**3/4 + 41*c**2/4 + 183*c/4 + 27.
-(c - 3)*(c + 1)**2*(c + 36)/4
Find w such that -8*w**2 - 100*w/7 + 24/7 = 0.
-2, 3/14
Let -u**3 + 105*u**2 - 3675*u + 42875 = 0. Calculate u.
35
Suppose 2*c**3/9 + 26*c**2/9 + 46*c/9 + 22/9 = 0. What is c?
-11, -1
Let 20*v**4 - 1036*v**3 + 10992*v**2 + 64960*v + 12544 = 0. Calculate v.
-4, -1/5, 28
Determine s so that -5*s**4 + 135*s**3 - 570*s**2 + 440*s = 0.
0, 1, 4, 22
Solve -3*k**5 + 42*k**4 + 96*k**3 + 6*k**2 - 93*k - 48 = 0.
-1, 1, 16
What is i in -3*i**5/5 + 3*i**4/5 = 0?
0, 1
Determine x, given that 3*x**5 - 30*x**4 + 81*x**3 - 54*x**2 = 0.
0, 1, 3, 6
Factor 3*k**2 - 30*k + 75.
3*(k - 5)**2
Determine o so that -2*o**4 - 8*o**3 - 10*o**2 - 4*o = 0.
-2, -1, 0
Factor -2*s**5/5 - 2*s**4 - 18*s**3/5 - 14*s**2/5 - 4*s/5.
-2*s*(s + 1)**3*(s + 2)/5
Solve -12*y**2 + 8*y + 32 = 0 for y.
-4/3, 2
What is h in -h**2 - 7149*h = 0?
-7149, 0
Find i such that -3*i**4 - 18*i**3 - 27*i**2 + 12*i + 36 = 0.
-3, -2, 1
Find c such that 18*c**5/7 - 8*c**4/7 - 4*c**3 + 8*c**2/7 + 10*c/7 = 0.
-1, -5/9, 0, 1
Suppose -2*l**5/5 + 32*l**4/5 - 16*l**3 + 4*l**2 + 82*l/5 - 52/5 = 0. Calculate l.
-1, 1, 2, 13
Factor 12*z**3 - 57*z**2 + 84*z - 36.
3*(z - 2)**2*(4*z - 3)
Factor 2*z**3/11 + 36*z**2/11 - 2*z/11 - 36/11.
2*(z - 1)*(z + 1)*(z + 18)/11
Factor 2*n**2 + 398*n + 396.
2*(n + 1)*(n + 198)
Factor -y**2 - 2550*y - 1625625.
-(y + 1275)**2
Determine i so that 2*i**3/3 + 442*i**2/3 + 1312*i/3 + 872/3 = 0.
-218, -2, -1
Factor 6*f**2/7 - 84*f + 2058.
6*(f - 49)**2/7
Let -3*t**5 + 28*t**4 - 76*t**3 + 64*t**2 = 0. Calculate t.
0, 2, 16/3
What is n in 8*n**4 + 150*n**3 + 244*n**2 + 102*n = 0?
-17, -1, -3/4, 0
Factor 4*z**2 - 2320*z + 4624.
4*(z - 578)*(z - 2)
What is o in -3*o**3 + 7*o**2 + 270*o + 176 = 0?
-8, -2/3, 11
Determine g so that -2*g**4/5 - 328*g**3 - 337834*g**2/5 - 669124*g/5 = 0.
-409, -2, 0
Factor 3*b**3 + 1035*b**2 + 88749*b - 89787.
3*(b - 1)*(b + 173)**2
Find n such that -27*n**5/4 - 171*n**4/2 + 501*n**3/4 - 12*n**2 - 21*n = 0.
-14, -1/3, 0, 2/3, 1
Factor -5*d**5 + 5*d**4 + 10*d**3.
-5*d**3*(d - 2)*(d + 1)
Suppose 2*r**3 + 320*r**2 + 12474*r - 26244 = 0. Calculate r.
-81, 2
Determine k, given that -412*k**4/5 + 864*k**3/5 - 492*k**2/5 + 8*k = 0.
0, 10/103, 1
Factor -3*y**3 + 27*y**2/5.
-3*y**2*(5*y - 9)/5
What is o in 2*o**2/11 - 10*o/11 - 48/11 = 0?
-3, 8
Factor 3*v**5 + 12*v**4 - 21*v**3 - 30*v**2.
3*v**2*(v - 2)*(v + 1)*(v + 5)
Let -3*c**5 - 12*c**4 + 24*c**3 + 42*c**2 - 21*c - 30 = 0. Calculate c.
-5, -1, 1, 2
What is v in -3*v**2/5 + 81*v/5 - 276/5 = 0?
4, 23
Factor -7*l**3/3 + 4*l**2 + 172*l/3 + 16.
-(l - 6)*(l + 4)*(7*l + 2)/3
Find u, given that 2*u**4 + 18*u**3 - 106*u**2 - 18*u + 104 = 0.
-13, -1, 1, 4
Let -5*h**3 - 150*h**2 + 5760*h + 174080 = 0. Calculate h.
-32, 34
Find m such that 3*m**5/5 + 6*m**4 - 69*m**3/5 + 36*m**2/5 = 0.
-12, 0, 1
Find v, given that -3*v**2 - 72*v + 75 = 0.
-25, 1
Suppose 3*k**4/4 - 331*k**3/12 + 1583*k**2/6 - 183*k - 54 = 0. Calculate k.
-2/9, 1, 18
Find a such that -3*a**4 + 273*a**3 - 6606*a**2 + 17952*a - 11616 = 0.
1, 2, 44
Factor -2*n**3/7 - 276*n**2/7 - 1602*n/7 - 2376/7.
-2*(n + 3)**2*(n + 132)/7
Find h such that -2*h**5/3 - 26*h**4/3 - 104*h**3/3 - 40*h**2 = 0.
-6, -5, -2, 0
Factor 2*l**4 - 264*l**3 + 11616*l**2 - 170368*l.
2*l*(l - 44)**3
Factor -4*w**3/7 + 16*w**2/7 + 48*w/7.
-4*w*(w - 6)*(w + 2)/7
Suppose v**2/3 - 25/3 = 0. What is v?
-5, 5
Suppose -49*y**5 + 77*y**4 + 409*y**3 - 689*y**2 + 288*y - 36 = 0. Calculate y.
-3, 2/7, 1, 3
What is f in -6*f**2/5 - 2*f = 0?
-5/3, 0
Determine a, given that -3*a**3 + 3159*a**2 - 833184*a + 830028 = 0.
1, 526
Factor u**3 - 26*u**2 + 91*u - 66.
(u - 22)*(u - 3)*(u - 1)
Factor -2*p**2/7 + 28*p - 384/7.
-2*(p - 96)*(p - 2)/7
Factor -4*y**3 - 16*y**2.
-4*y**2*(y + 4)
Find g, given that 2*g**5 + 32*g**4 + 176*g**3 + 384*g**2 + 288*g = 0.
-6, -2, 0
Suppose 4*t**5/9 - 8*t**4/9 + 8*t**2/9 - 4*t/9 = 0. What is t?
-1, 0, 1
Solve -g**3/7 + 82*g**2/7 - 1081*g/7 - 26508/7 = 0.
-12, 47
Factor x**2/2 + 101*x/2 + 50.
(x + 1)*(x + 100)/2
Factor -21*y**3/2 - 30*y**2 - 18*y.
-3*y*(y + 2)*(7*y + 6)/2
Factor k**2/2 - 22*k + 242.
(k - 22)**2/2
Factor 5*u**2 - 25*u - 30.
5*(u - 6)*(u + 1)
Factor -6*d**3 + 3*d**2 + 3*d.
-3*d*(d - 1)*(2*d + 1)
Let -u**4/4 + u**3/4 + 9*u**2/4 + 11*u/4 + 1 = 0. What is u?
-1, 4
Find m such that 7*m**5 - 19*m**4 - 580*m**3 + 2944*m**2 - 1632*m - 720 = 0.
-10, -2/7, 1, 6
Suppose -17*p**3 - 182*p**2/5 - 109*p/5 - 12/5 = 0. What is p?
-1, -12/85
Solve -3*q**3 - 5*q**2 + 2*q = 0 for q.
-2, 0, 1/3
Factor -4*j**2/3 + 163*j/3 + 41/3.
-(j - 41)*(4*j + 1)/3
Factor -25*k**4 + 95*k**3 + 20*k**2.
-5*k**2*(k - 4)*(5*k + 1)
What is m in 12*m**3 + 316*m**2 + 96*m - 208 = 0?
-26, -1, 2/3
Determine