*h**3/9 - 56*h**2/9 + 47*h/9 - 14/9.
-(h - 2)*(h - 1)**3*(h + 7)/9
Factor -u**3 + 93*u**2 - 2208*u + 2116.
-(u - 46)**2*(u - 1)
Factor -52*k**3 + 2816*k**2 - 432*k.
-4*k*(k - 54)*(13*k - 2)
Factor -6*t**2/5 + 7984*t/5 - 1064.
-2*(t - 1330)*(3*t - 2)/5
Factor 3*t**2/4 + 1449*t + 699867.
3*(t + 966)**2/4
Suppose 2*l**5/13 - 54*l**4/13 + 486*l**3/13 - 1458*l**2/13 = 0. Calculate l.
0, 9
Factor -9*a**4 + 39*a**3 + 156*a**2 + 84*a.
-3*a*(a - 7)*(a + 2)*(3*a + 2)
Factor p**4 - 74*p**3 - 127*p**2 + 67700*p - 67500.
(p - 50)**2*(p - 1)*(p + 27)
Solve 5*z**3 + 555*z**2 - 570*z - 1120 = 0 for z.
-112, -1, 2
Determine k so that -5*k**3 + 100*k**2 + 105*k = 0.
-1, 0, 21
Determine t, given that 4*t**3/11 - 1026*t**2/11 - 1546*t/11 - 516/11 = 0.
-1, -1/2, 258
Factor -2*b**2/7 - 4*b/7 + 48/7.
-2*(b - 4)*(b + 6)/7
Factor -2*r**3/9 + 344*r**2/3 + 230*r + 1036/9.
-2*(r - 518)*(r + 1)**2/9
Let -2*a**4/9 + 112*a**3/9 = 0. Calculate a.
0, 56
Factor -2*b**3/9 - 4*b**2/9 + 26*b/9 - 20/9.
-2*(b - 2)*(b - 1)*(b + 5)/9
Let -27*s**5 - 6*s**4 + 135*s**3 + 30*s**2 - 108*s - 24 = 0. Calculate s.
-2, -1, -2/9, 1, 2
Factor -8*y**3 + 194*y**2 + 152*y - 50.
-2*(y - 25)*(y + 1)*(4*y - 1)
Determine x so that -8*x**4/9 - 98*x**3/9 - 8*x**2/3 = 0.
-12, -1/4, 0
Factor 2*j**3/9 - 86*j**2/9 + 244*j/9 - 160/9.
2*(j - 40)*(j - 2)*(j - 1)/9
Factor g**3/4 - 39*g**2/4 + 495*g/4 - 2057/4.
(g - 17)*(g - 11)**2/4
Let 2*r**4/5 + 18*r**3/5 - 22*r**2/5 - 18*r/5 + 4 = 0. What is r?
-10, -1, 1
Suppose -2*x**2 - 14*x - 12 = 0. Calculate x.
-6, -1
Let 12*h**5 + 21*h**4 - 6*h**3 = 0. What is h?
-2, 0, 1/4
Solve -35*m**5 + 265*m**4 + 155*m**3 - 265*m**2 - 120*m = 0 for m.
-1, -3/7, 0, 1, 8
Solve -2*k**3 - 72*k**2 + 150*k - 76 = 0.
-38, 1
Factor -1700*v**3/3 + 470*v**2 - 104*v + 8/3.
-2*(5*v - 2)**2*(34*v - 1)/3
Factor 11390625*y**4 + 151875*y**3 + 675*y**2 + y.
y*(225*y + 1)**3
Factor -9*s**3/8 - 75*s**2/8 - 87*s/8 - 21/8.
-3*(s + 1)*(s + 7)*(3*s + 1)/8
Factor 2*h**4 + 20*h**3 + 46*h**2 + 28*h.
2*h*(h + 1)*(h + 2)*(h + 7)
Determine w so that -w**3/4 + 3*w**2/4 = 0.
0, 3
Suppose -2*a**5/3 - 52*a**4/3 - 278*a**3/3 - 76*a**2 = 0. What is a?
-19, -6, -1, 0
Solve 2*q**3 - 39*q**2 + 19*q = 0 for q.
0, 1/2, 19
Solve 5*i**4 + 20*i**3 - 5*i**2 - 20*i = 0 for i.
-4, -1, 0, 1
Solve u**2 - 58*u + 697 = 0.
17, 41
Determine m, given that -75*m**2/8 - 513*m/8 + 21/2 = 0.
-7, 4/25
Find y, given that -6*y**5 + 15*y**4 + 63*y**3 + 57*y**2 + 15*y = 0.
-1, -1/2, 0, 5
Determine v, given that -25*v**4 + 95*v**3 + 75*v**2 - 315*v - 270 = 0.
-6/5, -1, 3
Factor -4*j**5 + 160*j**4 - 1600*j**3.
-4*j**3*(j - 20)**2
Suppose 2*q**2 + 1804*q + 1802 = 0. Calculate q.
-901, -1
Factor -4*x**5 + 96*x**4 - 472*x**3 - 1248*x**2 - 676*x.
-4*x*(x - 13)**2*(x + 1)**2
Factor -3*m**2 + 300*m + 1908.
-3*(m - 106)*(m + 6)
Factor 5*s**5/3 + 5*s**4/3 - 40*s**3/3 - 20*s**2.
5*s**2*(s - 3)*(s + 2)**2/3
Factor n**2 - 340*n.
n*(n - 340)
Factor -2*y**3/3 + 7*y**2/6 + 7*y/3 + 1/2.
-(y - 3)*(y + 1)*(4*y + 1)/6
Suppose -3*b**3/5 - 75*b**2 + 759*b/5 - 381/5 = 0. What is b?
-127, 1
Factor 4*j**2/3 + 568*j + 60492.
4*(j + 213)**2/3
Suppose q**2/3 + 204*q + 31212 = 0. Calculate q.
-306
Let r**2 - 151*r + 150 = 0. What is r?
1, 150
Factor d**4/4 + 221*d**3/4 + 12099*d**2/4 - 12321*d/4.
d*(d - 1)*(d + 111)**2/4
Determine u so that -4*u**2 - 568*u = 0.
-142, 0
Solve -5*d**4 + 15*d**2 + 10*d = 0 for d.
-1, 0, 2
Factor -4*z**4 + 24*z**3 + 396*z**2 - 416*z.
-4*z*(z - 13)*(z - 1)*(z + 8)
Suppose -5*n**4 - 290*n**3 - 3905*n**2 + 8700*n - 4500 = 0. Calculate n.
-30, 1
Suppose -2*m**5/11 - 1514*m**4/11 - 282718*m**3/11 + 1439426*m**2/11 - 2316480*m/11 + 1161288/11 = 0. Calculate m.
-381, 1, 2
Solve 121*q**5/5 + 198*q**4/5 + 37*q**3/5 - 36*q**2/5 + 4*q/5 = 0 for q.
-1, 0, 2/11
Solve -25*k**5 + 1265*k**4 - 10575*k**3 - 139105*k**2 - 249400*k + 201840 = 0.
-4, 3/5, 29
Solve 20*g**5 + 45*g**4 + 30*g**3 + 5*g**2 = 0 for g.
-1, -1/4, 0
Solve 3*w**4 - 243*w**3 - 747*w**2 - 753*w - 252 = 0 for w.
-1, 84
Suppose -4*z**5/7 - 4532*z**4/7 - 1281416*z**3/7 + 1290488*z**2/7 + 183060*z - 183708 = 0. What is z?
-567, -1, 1
Determine s so that s**3/2 - 34*s**2 - 71*s/2 + 69 = 0.
-2, 1, 69
Factor 26648622003*y**4/4 + 520819974*y**3 + 15268338*y**2 + 198936*y + 972.
3*(307*y + 6)**4/4
Factor -2*h**3/9 + 32*h**2/3 + 34*h/3 - 196/9.
-2*(h - 49)*(h - 1)*(h + 2)/9
Solve -75*r**4 - 606*r**3 + 627*r**2 + 54*r = 0 for r.
-9, -2/25, 0, 1
Find g such that 2*g**2 + 6816*g + 5807232 = 0.
-1704
Factor 2*i**2/5 + 164*i/5 + 162/5.
2*(i + 1)*(i + 81)/5
Factor -15*o**2/7 + 4352*o/7 - 580/7.
-(o - 290)*(15*o - 2)/7
Find q such that -67*q**5 + 3482*q**4 - 67834*q**3 + 586768*q**2 - 1896011*q - 57122 = 0.
-2/67, 13
Let p**2/2 + 7*p/2 + 6 = 0. Calculate p.
-4, -3
Suppose 12*g**4 - 92*g**3 - 140*g**2 - 36*g = 0. Calculate g.
-1, -1/3, 0, 9
Factor -2*m**2 + 232*m.
-2*m*(m - 116)
Factor -3*o**5 + 27*o**4 + 102*o**3 - 438*o**2 + 477*o - 165.
-3*(o - 11)*(o - 1)**3*(o + 5)
What is r in -75*r**5 + 1335*r**4 - 5082*r**3 - 1956*r**2 + 3672*r - 864 = 0?
-1, 2/5, 6, 12
Factor 2*m**2 - 48*m.
2*m*(m - 24)
Factor 3*w**3 - 57*w**2 + 150*w - 96.
3*(w - 16)*(w - 2)*(w - 1)
Determine s so that -3*s**2/2 - 189*s - 1416 = 0.
-118, -8
Factor 3*v**2/2 - 306*v + 9537/2.
3*(v - 187)*(v - 17)/2
Solve -o**2/8 - 7*o/4 - 13/8 = 0 for o.
-13, -1
Find s such that s**3/2 + 93*s**2/2 + 87*s - 364 = 0.
-91, -4, 2
Find g, given that 2*g**2/3 + 34*g + 196/3 = 0.
-49, -2
Determine n, given that 20*n**2 - 101*n + 5 = 0.
1/20, 5
Solve -5*l**4/3 + 190*l**3/3 + 65*l**2 = 0 for l.
-1, 0, 39
Factor -b**3 + 29*b**2/3 - 24*b + 12.
-(b - 6)*(b - 3)*(3*b - 2)/3
Factor 3*t**3 - 60*t**2 - 63*t.
3*t*(t - 21)*(t + 1)
Factor w**5 + 4*w**4 - 6*w**3 - 16*w**2 + 29*w - 12.
(w - 1)**3*(w + 3)*(w + 4)
Factor z**3/6 - 7*z**2/3 + 22*z/3 - 20/3.
(z - 10)*(z - 2)**2/6
What is a in a**2 - 29*a + 28 = 0?
1, 28
Factor -81*s**4/2 + 441*s**3/2 - 92*s**2 + 10*s.
-s*(s - 5)*(9*s - 2)**2/2
Determine z, given that 2*z**2/9 + 74*z/9 + 68/3 = 0.
-34, -3
Suppose q**2/4 + 65*q - 261/4 = 0. What is q?
-261, 1
Suppose 4*g**2 - 13648*g - 27312 = 0. What is g?
-2, 3414
Determine p, given that -5*p**2 - 4690*p - 1099805 = 0.
-469
Suppose 2*s**5 - 28*s**4 - 2*s**3 + 28*s**2 = 0. Calculate s.
-1, 0, 1, 14
Let -3*i**2/4 + 117*i = 0. What is i?
0, 156
Factor 4*c**5 + 124*c**4 - 560*c**3 + 64*c**2 + 2176*c - 2240.
4*(c - 2)**3*(c + 2)*(c + 35)
Let v**5 - 215*v**4 - 441*v**3 + 1499*v**2 + 4328*v + 2604 = 0. What is v?
-2, -1, 3, 217
Factor 5*g**5/4 + 3*g**4/4 - 21*g**3/4 - 31*g**2/4 - 3*g.
g*(g + 1)**3*(5*g - 12)/4
Factor m**3 + 975*m**2 + 238143*m + 237169.
(m + 1)*(m + 487)**2
Factor -4*s**4/9 - 8*s**3/9 + 4*s**2 + 8*s.
-4*s*(s - 3)*(s + 2)*(s + 3)/9
What is c in -2*c**4/5 + 312*c**3/5 - 614*c**2/5 - 312*c/5 + 616/5 = 0?
-1, 1, 2, 154
Solve -5*d**5/2 - 11*d**4 + 116*d**3 - 232*d**2 + 88*d + 80 = 0.
-10, -2/5, 2
Suppose -3*t**4 - 15*t**3 + 1197*t**2 + 12363*t + 11154 = 0. What is t?
-13, -1, 22
Suppose -15*c**4 + 535*c**3 + 190*c**2 - 360*c = 0. What is c?
-1, 0, 2/3, 36
Determine t so that -5*t**2 + 45*t = 0.
0, 9
Suppose 4*h**5/5 - 68*h**4/5 - 236*h**3/5 - 92*h**2/5 + 232*h/5 + 32 = 0. What is h?
-2, -1, 1, 20
Find i such that i**5/6 - i**4/6 - 7*i**3/6 + 13*i**2/6 - i = 0.
-3, 0, 1, 2
Factor -2*p**3/7 - 4*p**2 + 8*p/7 + 16.
-2*(p - 2)*(p + 2)*(p + 14)/7
Factor 5*x**4/3 + 32*x**3/3 - 23*x**2/3 - 14*x/3.
x*(x - 1)*(x + 7)*(5*x + 2)/3
Factor -2*h**2/19 - 326*h/19 + 328/19.
-2*(h - 1)*(h + 164)/19
Solve -2*i**3 + 56*i**2 - 192*i = 0.
0, 4, 24
What is x in x**2 + 6*x - 27 = 0?
-9, 3
Solve 12*s**5/7 - 9*s**4 + 51*s**3/7 + 51*s**2/7 - 9*s + 12/7 = 0.
-1, 1/4, 1, 4
Let -2*a**2 + 22*a + 52 = 0. What is a?
-2, 13
Factor -f**4/11 - 185*f**3/11 - 975*f**2 - 147875*f/11 + 2746250/11.
-(f - 10)*(f + 65)**3/11
Factor 3*q**3 + 126*q**2 - 4419*q + 4290.
3*(q - 22)*(q - 1)*(q + 65)
Determine q, given that 6*q**3/11 + 312*q**2/11 + 3726*q/11 - 8748/11 = 0.
-27, 2
Solve -q**3 + 14*q**2 + 17*q - 30 = 0.
-2, 1, 15
Factor j**2/5 - 1148*j/5 + 329476/5.
(j - 574)**2/5
Factor 5*k**3 + 125*k**2.
5*k**2*(k + 25)
Find j, given that 7500*j**2 - 6300*j + 1323 = 0.
21/50
Determine v, given that v**5/4 - 11*v**4/2 + 30*v**3 = 0.
0, 10, 12
Factor s**4/4 - 485*s**3/2 + 242*s**2 + 485*s/2 - 969/4.
(s - 969)*(s - 