*i**2 - 219*i/5 + 18.
-3*(i + 15)*(5*i - 2)/5
Factor -3*v**3 - 6*v**2 + 45*v.
-3*v*(v - 3)*(v + 5)
Determine u, given that -u**5/2 - u**4 + 6*u**3 + 19*u**2 + 37*u/2 + 6 = 0.
-3, -1, 4
Factor 3*w**3/7 + 3*w**2/7 - 24*w + 432/7.
3*(w - 4)**2*(w + 9)/7
Factor -21*x**3 + 3*x**2 + 21*x - 3.
-3*(x - 1)*(x + 1)*(7*x - 1)
Factor -2*a**5/9 - 22*a**4/9 - 20*a**3/9 + 212*a**2/9 - 266*a/9 + 98/9.
-2*(a - 1)**3*(a + 7)**2/9
Let 5*f**4 - 430*f**3 + 9660*f**2 - 17640*f = 0. Calculate f.
0, 2, 42
Determine i, given that -8*i**5/3 - 46*i**4 - 386*i**3/3 - 104*i**2 - 56*i/3 = 0.
-14, -2, -1, -1/4, 0
Factor q**5 - 36*q**4 + 192*q**3 - 368*q**2 + 240*q.
q*(q - 30)*(q - 2)**3
Find v such that -2*v**2 - 118*v + 120 = 0.
-60, 1
Factor -5*f**5 + 15*f**4 + 30*f**3 - 140*f**2 + 120*f.
-5*f*(f - 2)**3*(f + 3)
Determine d so that d**5/9 - 8*d**4/9 + 2*d**3 - 3*d = 0.
-1, 0, 3
Factor 5*n**2 + 245*n - 250.
5*(n - 1)*(n + 50)
Factor 3*x**3 + 108*x**2 + 639*x + 870.
3*(x + 2)*(x + 5)*(x + 29)
Factor 2*q**3/9 + 140*q**2/9 + 46*q/3.
2*q*(q + 1)*(q + 69)/9
Solve -7*r**4/3 + 164*r**3 - 8204*r**2/3 - 5280*r + 1728 = 0.
-2, 2/7, 36
Determine u, given that -u**2/2 + u + 4 = 0.
-2, 4
Factor 3*o**2/2 + 372*o - 747/2.
3*(o - 1)*(o + 249)/2
Find a such that -4*a**4 - 172*a**3 + 928*a**2 - 1520*a + 768 = 0.
-48, 1, 2
Determine r, given that -35*r**5 + 45*r**4 + 95*r**3 - 65*r**2 - 60*r + 20 = 0.
-1, 2/7, 1, 2
Factor 5*h**2 - 70*h + 165.
5*(h - 11)*(h - 3)
Factor 60*i**3 + 235*i**2 + 220*i - 20.
5*(i + 2)**2*(12*i - 1)
What is o in -2*o**3/5 + 2*o/5 = 0?
-1, 0, 1
Determine o so that 2*o**5/5 - 2*o**4 - 34*o**3/5 + 50*o**2 - 368*o/5 + 32 = 0.
-5, 1, 4
Determine r, given that 3*r**4/7 - 402*r**3/7 + 8496*r**2/7 - 64896*r/7 + 168960/7 = 0.
8, 110
Find z such that -3*z**2/5 + 99*z/5 - 96/5 = 0.
1, 32
Let -5*b**3 + 40*b**2 + 5*b - 40 = 0. What is b?
-1, 1, 8
Determine x, given that -x**5 + 3*x**4 + 7*x**3 - 7*x**2 - 18*x - 8 = 0.
-1, 2, 4
Factor -3*v**4 - 120*v**3 - 228*v**2.
-3*v**2*(v + 2)*(v + 38)
Factor 5*z**2 + 1240*z - 3765.
5*(z - 3)*(z + 251)
Determine v so that 3*v**3 - 216*v**2 + 4284*v - 13872 = 0.
4, 34
Find r such that 14*r**3 - 1152*r**2 - 8394*r + 2492 = 0.
-7, 2/7, 89
What is u in -4*u**3 - 220*u**2 - 2912*u + 3136 = 0?
-28, 1
Determine x, given that 2*x**5 - 42*x**4 - 158*x**3 + 306*x**2 + 756*x - 864 = 0.
-3, 1, 2, 24
Solve 2*k**2/25 - 6*k/25 - 36/25 = 0 for k.
-3, 6
Solve -2*w**2/13 - 1046*w/13 + 1048/13 = 0.
-524, 1
Determine k, given that -2*k**4/5 - 222*k**3/5 - 648*k**2/5 + 8*k/5 + 864/5 = 0.
-108, -2, 1
Factor b**3/2 + 18*b**2 + 101*b/2 + 33.
(b + 1)*(b + 2)*(b + 33)/2
What is w in 2*w**3/9 + 10*w**2/3 - 104*w/9 + 8 = 0?
-18, 1, 2
Factor 3*w**5 - 21*w**4 + 15*w**3 + 21*w**2 - 18*w.
3*w*(w - 6)*(w - 1)**2*(w + 1)
Let 2*l**3/23 - 5598*l**2/23 + 5222934*l/23 - 1624332474/23 = 0. What is l?
933
Suppose -2*h**2/3 + 1556*h/3 - 302642/3 = 0. What is h?
389
Let -2*v**4/9 - 208*v**3/3 + 1886*v**2/9 - 140*v = 0. Calculate v.
-315, 0, 1, 2
Factor -w**4/4 + 33*w**3/2 - 207*w**2 + 1631*w/2 - 2499/4.
-(w - 51)*(w - 7)**2*(w - 1)/4
Suppose 27*q**5/7 - 534*q**4/7 - 201*q**3/7 + 1656*q**2/7 - 708*q/7 - 240/7 = 0. What is q?
-2, -2/9, 1, 20
Solve -16*a**3 + 8*a**2 + 3*a = 0 for a.
-1/4, 0, 3/4
Suppose 3*l**2/4 + 123*l - 495/4 = 0. Calculate l.
-165, 1
Suppose -2*z**2/3 - 58*z/3 = 0. What is z?
-29, 0
Find a, given that a**2/4 - 199*a/4 + 99/2 = 0.
1, 198
Let -5*o**3 + 645*o**2 - 27195*o + 372155 = 0. What is o?
31, 49
Suppose -f**3/3 - 23*f**2/3 + f/3 + 23/3 = 0. What is f?
-23, -1, 1
Determine i so that -4*i**2/3 - 9104*i/3 - 5180176/3 = 0.
-1138
Factor d**4/4 + 25*d**3/4 + 47*d**2/4 + 23*d/4.
d*(d + 1)**2*(d + 23)/4
Factor -w**3/8 + 5*w**2/4 + w/8 - 5/4.
-(w - 10)*(w - 1)*(w + 1)/8
Let -2*d**2 + 8*d = 0. Calculate d.
0, 4
Determine h, given that -h**2/6 + h - 3/2 = 0.
3
Factor 4*t**4 - 76*t**3 - 368*t**2.
4*t**2*(t - 23)*(t + 4)
Solve -13*c**5/5 - 67*c**4/5 - 127*c**3/5 - 109*c**2/5 - 8*c - 4/5 = 0 for c.
-2, -1, -2/13
Factor -2*a**3/3 - 4*a**2 + 2*a/3 + 4.
-2*(a - 1)*(a + 1)*(a + 6)/3
What is l in -5*l**4 - 1970*l**3 - 219665*l**2 - 5047140*l - 32819220 = 0?
-183, -14
Factor 4*s**3/3 + 16*s**2/3 - 140*s/3 - 200.
4*(s - 6)*(s + 5)**2/3
Let -i**5/2 - 3*i**4/2 + 19*i**3/2 + 3*i**2/2 - 9*i = 0. Calculate i.
-6, -1, 0, 1, 3
Suppose 4*i**5/7 - 4*i**4 - 108*i**3/7 + 316*i**2/7 + 104*i/7 - 288/7 = 0. Calculate i.
-4, -1, 1, 2, 9
Factor q**2 - 67*q/7 - 30/7.
(q - 10)*(7*q + 3)/7
Solve 5*v**5 - 70*v**4 + 125*v**3 - 60*v**2 = 0 for v.
0, 1, 12
Find z, given that z**3/3 + 299*z**2/3 - z/3 - 299/3 = 0.
-299, -1, 1
Factor 2*i**3 + 110*i**2 + 1456*i - 1568.
2*(i - 1)*(i + 28)**2
Determine p so that 3*p**5/8 - 51*p**4/8 + 33*p**3/2 - 21*p**2/2 = 0.
0, 1, 2, 14
What is h in 5*h**4 + 30*h**3 + 20*h**2 - 120*h - 160 = 0?
-4, -2, 2
Find a such that -2*a**2/13 - 44*a/13 + 150/13 = 0.
-25, 3
Suppose t**2 - 186*t = 0. What is t?
0, 186
Determine b, given that -2*b**4/11 + 6*b**3 - 26*b**2 + 150*b/11 + 504/11 = 0.
-1, 3, 28
Factor 2*k**2/7 + 54*k/7.
2*k*(k + 27)/7
Suppose y**4 + 20*y**3 + 148*y**2 + 480*y + 576 = 0. Calculate y.
-6, -4
Factor 1119364*b**2 - 8464*b + 16.
4*(529*b - 2)**2
Factor 2*s**3/11 - 46*s**2/11 + 112*s/11 + 1960/11.
2*(s - 14)**2*(s + 5)/11
Solve 2*u**4/7 - 10*u**3/7 - 128*u**2/7 + 568*u/7 - 576/7 = 0 for u.
-8, 2, 9
Determine n so that 4*n**3/5 - 16*n**2/5 + 12*n/5 = 0.
0, 1, 3
Find t such that -t**3/7 + 9*t**2/7 - 24*t/7 + 20/7 = 0.
2, 5
Factor 2*j**3/11 + 124*j**2/11.
2*j**2*(j + 62)/11
Let 2*s**4/7 - 76*s**3/7 - 240*s**2/7 - 244*s/7 - 82/7 = 0. What is s?
-1, 41
Factor 2*n**2/11 - 14324*n/11 + 25647122/11.
2*(n - 3581)**2/11
Determine d so that -d**4/2 + 19*d**3/8 - 4*d**2 + 23*d/8 - 3/4 = 0.
3/4, 1, 2
Factor -2*r**3/5 - 6*r**2 - 76*r/5 - 48/5.
-2*(r + 1)*(r + 2)*(r + 12)/5
Let -3*h**2 - 33*h - 54 = 0. Calculate h.
-9, -2
Let n**5/2 + 11*n**4/2 + 2*n**3 - 32*n**2 - 16*n + 40 = 0. What is n?
-10, -2, 1, 2
Factor n**4/7 - 30*n**3/7 + 225*n**2/7.
n**2*(n - 15)**2/7
Factor 2*a**2 - 8.
2*(a - 2)*(a + 2)
Determine a, given that a**3/2 + 13*a**2/2 - a/2 - 13/2 = 0.
-13, -1, 1
Factor -4*w**2 + 256*w - 4096.
-4*(w - 32)**2
Factor 5*h**4/6 - 15*h**3/2 + 35*h**2/6 + 15*h/2 - 20/3.
5*(h - 8)*(h - 1)**2*(h + 1)/6
Factor 3*m**5 + 6*m**4 + 3*m**3.
3*m**3*(m + 1)**2
Solve -5*m**3 + 85*m**2 + 1685*m + 1595 = 0 for m.
-11, -1, 29
Suppose -2*l**4 - 22*l**3/5 - 14*l**2/5 - 2*l/5 = 0. What is l?
-1, -1/5, 0
Solve f**3 + 2*f**2 - 15*f = 0.
-5, 0, 3
Let 5*u**5 - 25*u**4 + 100*u**2 - 80*u = 0. What is u?
-2, 0, 1, 2, 4
Find i, given that -6*i**4 - 22*i**3 - 22*i**2 - 2*i + 4 = 0.
-2, -1, 1/3
Factor 3*r**4 + 6*r**3 - 33*r**2 - 36*r.
3*r*(r - 3)*(r + 1)*(r + 4)
Factor 3*d**4 + 39*d**3 - 288*d**2 - 324*d.
3*d*(d - 6)*(d + 1)*(d + 18)
Suppose -j**4/7 - 3*j**3/7 + 4*j/7 = 0. What is j?
-2, 0, 1
Factor -u**3/2 - 3*u**2/2 + 2*u + 6.
-(u - 2)*(u + 2)*(u + 3)/2
Find b such that -b**3 + b**2 + 4*b - 4 = 0.
-2, 1, 2
Factor l**4 - 6*l**3 - 99*l**2 - 176*l - 84.
(l - 14)*(l + 1)**2*(l + 6)
Determine o so that -3*o**2/2 - 168*o + 1035/2 = 0.
-115, 3
Suppose -3*q**5 + 12*q**4 + 15*q**3 = 0. Calculate q.
-1, 0, 5
Solve c**5/5 + 37*c**4/5 + 27*c**3/5 - 313*c**2/5 + 392*c/5 - 144/5 = 0 for c.
-36, -4, 1
Determine i so that i**5/2 - 7*i**3/2 - 3*i**2 = 0.
-2, -1, 0, 3
What is w in 3*w**4 + 876*w**3 + 65664*w**2 + 248832*w = 0?
-144, -4, 0
Determine b, given that 2*b**3 - 178*b**2 - 2*b + 178 = 0.
-1, 1, 89
Factor -3*o**2 - 111*o - 108.
-3*(o + 1)*(o + 36)
What is a in -60*a**5 + 1265*a**4/2 - 120*a**3 - 8985*a**2 - 4060*a - 735/2 = 0?
-3, -1/3, -1/8, 7
Factor r**5/2 - 7*r**4/2 + 7*r**3/2 + 15*r**2/2.
r**2*(r - 5)*(r - 3)*(r + 1)/2
Suppose l**5 + 62*l**4 + 119*l**3 - 62*l**2 - 120*l = 0. What is l?
-60, -2, -1, 0, 1
Solve -4*i**5/7 - 22*i**4/7 - 18*i**3/7 + 74*i**2/7 + 134*i/7 + 60/7 = 0.
-3, -5/2, -1, 2
Suppose 3*a**2 - 1038*a + 89787 = 0. Calculate a.
173
Solve r**4/2 - 47*r**3 - 3*r**2/2 + 140*r + 94 = 0 for r.
-1, 2, 94
Factor -4*a**2 - 2664*a - 443556.
-4*(a + 333)**2
Solve -5*c**3/4 - 71*c**2/4 - 79*c/4 - 13/4 = 0 for c.
-13, -1, -1/5
Find x such that 4*x**3 - 16*x**2 - 48*x = 0.
-2, 0, 6
Factor 4*i**4 - 632*i**3 - 4*i**2 + 632*i.
4*i*(i - 158)*(i - 1)*(i + 1)
Factor 2*b**2/3 + 14*b/3.
2*b*(b + 7)/3
Factor 3038*b