*a**2 = 0.
-3, -1/4, 0
Suppose 2*y**3/3 + 28*y**2/3 - 98*y = 0. Calculate y.
-21, 0, 7
Solve 2*k**2 - 216*k + 5832 = 0 for k.
54
Factor -475*u**2 - 5710*u - 120.
-5*(u + 12)*(95*u + 2)
Find h, given that -3*h**2 - 345*h - 342 = 0.
-114, -1
Solve -q**4/7 - 3*q**3 - 142*q**2/7 - 384*q/7 - 352/7 = 0.
-11, -4, -2
Let 2*r**3/5 + 3844*r**2/5 - 7696*r/5 = 0. Calculate r.
-1924, 0, 2
Let 2*w**5/7 + 26*w**4/7 - 172*w**3/7 - 652*w**2/7 - 694*w/7 - 34 = 0. What is w?
-17, -1, 7
Solve 5*v**2 - 620*v + 1815 = 0 for v.
3, 121
Determine z, given that 4*z**2 - 16*z - 20 = 0.
-1, 5
Let 2*y**5/7 + 286*y**4/7 + 10366*y**3/7 + 10082*y**2/7 = 0. What is y?
-71, -1, 0
Determine r, given that 27*r**4 + 168*r**3 + 171*r**2 + 30*r = 0.
-5, -1, -2/9, 0
Factor 3*p**3 + 59*p**2 + 140*p + 68.
(p + 2)*(p + 17)*(3*p + 2)
Find n, given that 18*n**5/7 - 59*n**4/7 + 7*n**3 - 4*n**2/7 - 4*n/7 = 0.
-2/9, 0, 1/2, 1, 2
Solve -3*i**4 + 18*i**3 + 36*i**2 - 114*i + 63 = 0.
-3, 1, 7
Factor -2*j**3/9 - 148*j**2/9 + 616*j/9 - 208/3.
-2*(j - 2)**2*(j + 78)/9
Solve l**2/2 + 2*l + 2 = 0 for l.
-2
What is g in -4*g**5 + 116*g**4 - 1336*g**3 + 7640*g**2 - 21700*g + 24500 = 0?
5, 7
Factor 2*p**3/3 + 62*p**2/3 - 1840*p/3 + 3400.
2*(p - 10)**2*(p + 51)/3
Let 2*g**4 - 652*g**3 + 1298*g**2 - 648*g = 0. Calculate g.
0, 1, 324
Factor -n**5/5 - 48*n**4/5 - 849*n**3/5 - 1330*n**2 - 21756*n/5 - 24696/5.
-(n + 3)**2*(n + 14)**3/5
Factor 4*l**3 + 420*l**2 + 11628*l + 31212.
4*(l + 3)*(l + 51)**2
Determine t so that -21*t**4/4 + 4479*t**3/4 + 6165*t**2/2 - 972*t = 0.
-3, 0, 2/7, 216
Solve -g**2/3 + 122*g/3 - 121/3 = 0.
1, 121
Solve 4*r**2 - 1476*r - 1480 = 0 for r.
-1, 370
Solve 10*i**2/3 + 1024*i/9 + 136/9 = 0 for i.
-34, -2/15
Let 2*h**4/7 - 6*h**3/7 - 6*h**2/7 + 22*h/7 - 12/7 = 0. Calculate h.
-2, 1, 3
Let -k**2 - 2*k + 15 = 0. What is k?
-5, 3
Factor 5*r**4 + 40*r**3 + 75*r**2 - 20*r - 100.
5*(r - 1)*(r + 2)**2*(r + 5)
Find w such that 5*w**4/6 - 13*w**3/6 - 17*w**2/2 - 43*w/6 - 5/3 = 0.
-1, -2/5, 5
Let 3*g**2 - 75*g + 138 = 0. What is g?
2, 23
Factor 6*u**3/7 - 102*u**2/7 - 348*u/7 - 240/7.
6*(u - 20)*(u + 1)*(u + 2)/7
Factor -8*x**4/3 + 248*x**3/3 + 254*x**2/3 + 64*x/3.
-2*x*(x - 32)*(2*x + 1)**2/3
Suppose -2*d**2/21 - 48*d/7 - 864/7 = 0. Calculate d.
-36
Find b, given that -b**5/10 - b**4/10 + 233*b**3/10 - 1819*b**2/10 + 2296*b/5 - 1862/5 = 0.
-19, 2, 7
Solve -3*h**5 - 9*h**4 + 3*h**3 + 9*h**2 = 0 for h.
-3, -1, 0, 1
Suppose g**3/10 + 26*g**2/5 + 17*g/2 - 75 = 0. Calculate g.
-50, -5, 3
Suppose -q**3 + 447*q**2 + 1348*q + 900 = 0. Calculate q.
-2, -1, 450
Factor -5*y**4 + 995*y**3 - 990*y**2.
-5*y**2*(y - 198)*(y - 1)
Factor 3*i**4 + 531*i**3 + 525*i**2 - 531*i - 528.
3*(i - 1)*(i + 1)**2*(i + 176)
Solve -g**4/4 + 69*g**3/4 - 1587*g**2/4 + 12167*g/4 = 0 for g.
0, 23
Factor -d**4 - 8*d**3 - 13*d**2 - 6*d.
-d*(d + 1)**2*(d + 6)
Suppose 20*q**5 + 680*q**4 + 6345*q**3 + 8495*q**2 - 13600*q + 3840 = 0. Calculate q.
-16, -3, 1/2
Find f, given that -3*f**4 - 693*f**3 - 39672*f**2 + 40368*f = 0.
-116, 0, 1
Solve -3*q**2 - 123*q + 126 = 0.
-42, 1
Determine t, given that 2*t**4 - 10*t**3 - 8*t**2 + 40*t = 0.
-2, 0, 2, 5
Factor 5*p**3 - 10*p**2 - 20*p + 40.
5*(p - 2)**2*(p + 2)
Determine d, given that -5*d**4/4 + 4*d**3 - 3*d**2/4 - 5*d + 1 = 0.
-1, 1/5, 2
Factor -2*y**2/21 + 130*y/3.
-2*y*(y - 455)/21
Suppose -3*n**4/4 - 5*n**3/4 + n**2/4 + 5*n/4 + 1/2 = 0. Calculate n.
-1, -2/3, 1
Factor q**4/12 + 3*q**3/2 + 59*q**2/12 + 7*q/2.
q*(q + 1)*(q + 3)*(q + 14)/12
Factor 2*u**2/5 - 1032*u/5 + 2056/5.
2*(u - 514)*(u - 2)/5
Solve 5*i**3 - 2405*i**2 - 5*i + 2405 = 0.
-1, 1, 481
Determine h so that -12*h**2 - 716*h - 472 = 0.
-59, -2/3
Factor -2*p**3/9 + 22*p**2/3 - 64*p/9.
-2*p*(p - 32)*(p - 1)/9
Factor 4*c**3/5 - 164*c**2/5 + 316*c/5 - 156/5.
4*(c - 39)*(c - 1)**2/5
Solve -3*x**3/4 + 87*x**2/4 + 342*x + 1107 = 0 for x.
-6, 41
Factor -s**4/5 - s**3 + 21*s**2/5 - 23*s/5 + 8/5.
-(s - 1)**3*(s + 8)/5
Determine i so that -38*i**4/5 + 48*i**3 - 528*i**2/5 + 448*i/5 - 96/5 = 0.
6/19, 2
Factor -4*u**3 + 20*u**2.
-4*u**2*(u - 5)
Suppose -6*v**4 - 447*v**3 + 681*v**2 - 228*v = 0. Calculate v.
-76, 0, 1/2, 1
Let -2*x**2/5 - 336*x/5 - 14112/5 = 0. What is x?
-84
Factor -6*b**3/5 - 2*b**2 - 2*b/5 + 2/5.
-2*(b + 1)**2*(3*b - 1)/5
Factor j**2/2 + 37*j/2 + 171.
(j + 18)*(j + 19)/2
Determine h, given that -4*h**5 - 32*h**4 - 76*h**3 - 32*h**2 + 80*h + 64 = 0.
-4, -2, -1, 1
Let -5*c**2/2 + 123*c + 100 = 0. Calculate c.
-4/5, 50
Factor -19652*l**3 + 76296*l**2 - 98736*l + 42592.
-4*(17*l - 22)**3
Factor -3*n**3 + 183*n**2 - 2880*n + 2700.
-3*(n - 30)**2*(n - 1)
Determine a so that -4*a**2/5 + 892*a/5 - 888/5 = 0.
1, 222
What is g in 4*g**2/5 + 24*g/5 - 28/5 = 0?
-7, 1
Factor 150*y**2 + 40*y + 8/3.
2*(15*y + 2)**2/3
Factor 9*i**3/7 + 93*i**2/7 + 30*i/7.
3*i*(i + 10)*(3*i + 1)/7
Let 32*h**3/11 - 62*h**2/11 - 100*h/11 - 6/11 = 0. Calculate h.
-1, -1/16, 3
Let -t**2 + 19*t + 20 = 0. What is t?
-1, 20
Factor m**5 - 4*m**4 + 6*m**3 - 4*m**2 + m.
m*(m - 1)**4
Find u such that u**2/3 - 14*u/3 + 15 = 0.
5, 9
Let -5*l**3/2 + 19*l**2 - 32*l - 16 = 0. Calculate l.
-2/5, 4
Factor 2*l**3/3 - 40*l**2/3 - 2*l/3 + 40/3.
2*(l - 20)*(l - 1)*(l + 1)/3
Factor 7*z**2/3 + 19*z/3 + 4.
(z + 1)*(7*z + 12)/3
Factor -x**2/4 - 13*x/2 - 169/4.
-(x + 13)**2/4
Factor 3*v**4/4 - 3*v**3 - 12*v**2 + 12*v + 36.
3*(v - 6)*(v - 2)*(v + 2)**2/4
Factor -5*s**4 - 385*s**3 + 4350*s**2.
-5*s**2*(s - 10)*(s + 87)
Let 2*m**5/9 + 20*m**4/9 + 16*m**3/9 - 128*m**2/9 = 0. Calculate m.
-8, -4, 0, 2
Suppose -v**4 + v**3 + v**2 - v = 0. What is v?
-1, 0, 1
Suppose -m**3/3 - 22*m**2/3 - 59*m/3 - 38/3 = 0. What is m?
-19, -2, -1
Suppose -2*s**4/5 + 124*s**3/5 - 354*s**2/5 = 0. What is s?
0, 3, 59
Suppose 22*s**3/7 - 1404*s**2/7 - 3160*s/7 - 528/7 = 0. What is s?
-2, -2/11, 66
Factor n**5/4 - n**4/2 - 15*n**3/4 - n**2 + 5*n.
n*(n - 5)*(n - 1)*(n + 2)**2/4
Let -b**2/3 - 304*b/3 + 305/3 = 0. What is b?
-305, 1
Factor r**5/6 - r**4/6 - r**3/6 + r**2/6.
r**2*(r - 1)**2*(r + 1)/6
Factor -2*c**2 - 18*c - 16.
-2*(c + 1)*(c + 8)
Let t**5 - 4*t**4 - 6*t**3 + 4*t**2 + 5*t = 0. Calculate t.
-1, 0, 1, 5
Factor -f**4/4 - 35*f**3/2 - 1469*f**2/4 - 2108*f - 2883.
-(f + 2)*(f + 6)*(f + 31)**2/4
Factor 2*o**2/15 - 18*o/5 - 12.
2*(o - 30)*(o + 3)/15
Factor -f**5 - 4*f**4 + 21*f**3.
-f**3*(f - 3)*(f + 7)
Let 4*i**4/3 + 40*i**3/3 + 32*i**2 - 128*i/3 - 512/3 = 0. Calculate i.
-4, 2
Solve 2*f**4/13 - 22*f**3/13 + 30*f**2/13 + 134*f/13 + 80/13 = 0 for f.
-1, 5, 8
Factor u**3/2 + 11*u**2/2 + 15*u/2 - 27/2.
(u - 1)*(u + 3)*(u + 9)/2
Find w, given that -4*w**3 - 8*w**2 + 36*w + 72 = 0.
-3, -2, 3
Factor -2*d**2/11 - 228*d/11 - 226/11.
-2*(d + 1)*(d + 113)/11
Factor -3*k**5 + 42*k**4 + 456*k**3 + 1488*k**2 + 2064*k + 1056.
-3*(k - 22)*(k + 2)**4
Determine m, given that -m**5 - 7*m**4 - 17*m**3 - 17*m**2 - 6*m = 0.
-3, -2, -1, 0
Factor 3*q**4/5 - 18*q**3/5 + 27*q**2/5.
3*q**2*(q - 3)**2/5
Factor -4*d**2 + 28*d - 48.
-4*(d - 4)*(d - 3)
Let -4*z**4 + 48*z**3 - 4*z**2 - 408*z - 352 = 0. What is z?
-2, -1, 4, 11
Factor 3*l**4/8 - 39*l**3/4.
3*l**3*(l - 26)/8
Factor -2*r**3/5 + 4*r**2/5 + 58*r/5 - 12.
-2*(r - 6)*(r - 1)*(r + 5)/5
Determine l, given that -2*l**3/9 - 218*l**2/9 - 640*l/9 - 424/9 = 0.
-106, -2, -1
Suppose -21*c**4 - 102*c**3 - 69*c**2 + 12*c = 0. Calculate c.
-4, -1, 0, 1/7
Find b, given that 6724*b**4 + 656*b**3 + 16*b**2 = 0.
-2/41, 0
Determine s, given that 99228483*s**3 + 927369*s**2 + 2889*s + 3 = 0.
-1/321
Determine l, given that -39*l**3/7 + 123*l**2/7 + 138*l/7 - 24/7 = 0.
-1, 2/13, 4
What is r in r**4 + 70*r**3 + 269*r**2 + 332*r + 132 = 0?
-66, -2, -1
Factor -2*p**2/9 - 176*p/9 - 3872/9.
-2*(p + 44)**2/9
Solve -2*k**5/5 + 4*k**4 - 76*k**3/5 + 136*k**2/5 - 114*k/5 + 36/5 = 0 for k.
1, 2, 3
What is x in 12*x**4/11 + 58*x**3/11 + 14*x**2/11 - 100*x/11 + 16/11 = 0?
-4, -2, 1/6, 1
Factor -2*r**3/5 + 4*r**2/5 + 42*r/5 + 36/5.
-2*(r - 6)*(r + 1)*(r + 3)/5
Solve -39*p**5 - 72*p**4 + 12*p**3 + 78*p**2 + 27*p - 6 = 0 for p.
-1, 2/13, 1
Factor r**4/3 + 65*r**3/3 - 317*r**2 - 2093*r/3 - 1078/3.
(r - 14)*(r + 1)**2*(r + 77)/3
Solve -637*a**5/6 - 3563*a**4/6 - 3809*a**3/6 + 4559*a**2/6 + 563*a + 12 = 0 for a.
-3, -4/7, -2/91, 1
Factor -2*p**3/3 + 40*p**2/3 - 38*p/3.
-2*p*(p - 19)*(p - 1)/3
Factor h**5/4 +