**2*(a - 5)*(a - 1)*(a + 8)/2
Factor -u**3 - 89*u**2 - 2024*u - 1936.
-(u + 1)*(u + 44)**2
Suppose -3*v**4 - 48*v**3 - 60*v**2 + 336*v = 0. What is v?
-14, -4, 0, 2
Determine o, given that 4*o**5 - 28*o**4 - 72*o**3 - 8*o**2 + 68*o + 36 = 0.
-1, 1, 9
Factor o**3/7 + 233*o**2/7 + 463*o/7 + 33.
(o + 1)**2*(o + 231)/7
Factor 2*i**5/17 - 12*i**4/17 + 28*i**3/17 - 32*i**2/17 + 18*i/17 - 4/17.
2*(i - 2)*(i - 1)**4/17
Solve x**4/3 + 9*x**3 - 448*x**2 + 10780*x/3 = 0.
-55, 0, 14
Suppose -4*g**3 - 32*g**2 = 0. What is g?
-8, 0
Factor 3*f**3/5 + 498*f**2/5 + 987*f/5 + 492/5.
3*(f + 1)**2*(f + 164)/5
Suppose -5*n**5 + 155*n**4 - 680*n**3 + 760*n**2 + 560*n - 1040 = 0. Calculate n.
-1, 2, 26
Solve 14*c**4 - 108*c**3 - 32*c**2 = 0 for c.
-2/7, 0, 8
Factor 2*x**4 - 10*x**3/3 + 4*x**2/3.
2*x**2*(x - 1)*(3*x - 2)/3
Factor 3*x**4 - 51*x**3 - 210*x**2 + 600*x.
3*x*(x - 20)*(x - 2)*(x + 5)
Suppose -4*k**5/5 + 32*k**4/5 - 8*k**3/5 - 128*k**2/5 - 84*k/5 = 0. What is k?
-1, 0, 3, 7
Determine q so that 14*q**3/15 - 5296*q**2/15 + 167202*q/5 - 47628/5 = 0.
2/7, 189
Let -5*r**2 - 530*r - 14045 = 0. Calculate r.
-53
Factor 5*p**3/4 - 195*p/4 - 175/2.
5*(p - 7)*(p + 2)*(p + 5)/4
Let 2*q**2/17 + 28*q/17 + 48/17 = 0. Calculate q.
-12, -2
What is l in -4*l**3 + 372*l + 1232 = 0?
-7, -4, 11
Find y, given that 2*y**2/7 + 50*y/7 = 0.
-25, 0
Find h such that -14*h**5 + 130*h**4 + 1308*h**3 + 3032*h**2 + 1712*h - 768 = 0.
-3, -2, 2/7, 16
Factor -c**5 + 32*c**4 - 312*c**3 + 896*c**2 - 784*c.
-c*(c - 14)**2*(c - 2)**2
Factor -2*r**2/5 - 14*r - 588/5.
-2*(r + 14)*(r + 21)/5
Solve 8*i**5/13 - 18*i**4/13 + 12*i**3/13 - 2*i**2/13 = 0 for i.
0, 1/4, 1
Factor 18*q**3 - 39*q**2 - 18*q + 39.
3*(q - 1)*(q + 1)*(6*q - 13)
Determine u so that u**3/3 - u/3 = 0.
-1, 0, 1
What is q in -4*q**5/9 + 14*q**4/3 - 56*q**3/3 + 314*q**2/9 - 88*q/3 + 8 = 0?
1/2, 2, 3
Find l such that -5*l**3 - 3150*l**2 - 496125*l = 0.
-315, 0
Suppose 4*z**2 - 16896*z + 17842176 = 0. Calculate z.
2112
Solve -4*y**3 + 24*y**2 - 36*y + 16 = 0 for y.
1, 4
Solve -j**4/4 + 9*j**3/4 - 21*j**2/4 - j/4 + 15/2 = 0.
-1, 2, 3, 5
Let -2*u**3 + 16*u**2 - 30*u = 0. What is u?
0, 3, 5
Factor 145*x**2/4 - x/4.
x*(145*x - 1)/4
What is s in -5*s**2 - 270*s = 0?
-54, 0
Let -2*j**2 + 3060*j - 1170450 = 0. What is j?
765
Factor -28*r**4 + 80*r**3 - 44*r**2 - 8*r.
-4*r*(r - 2)*(r - 1)*(7*r + 1)
Find d, given that -3*d**4 - 3*d**3 + 6*d**2 = 0.
-2, 0, 1
Suppose -2*r**2 - 90*r - 88 = 0. Calculate r.
-44, -1
Factor 3*m**2/8 + 681*m/8.
3*m*(m + 227)/8
Determine w so that 140*w**4 + 36*w**3 - 8*w**2 = 0.
-2/5, 0, 1/7
Factor 6*x**3 - 206*x**2 + 1076*x - 336.
2*(x - 28)*(x - 6)*(3*x - 1)
Suppose 3*x**2 - 1266*x + 133563 = 0. What is x?
211
Factor 10*a**2 - 8225*a - 4115.
5*(a - 823)*(2*a + 1)
Factor -s**4/2 - 37*s**3 - 417*s**2/2 - 308*s - 136.
-(s + 1)**2*(s + 4)*(s + 68)/2
Factor m**2/2 - 505*m/2 + 753.
(m - 502)*(m - 3)/2
Factor 10*c**3/11 - 92*c**2/11 + 158*c/11 - 28/11.
2*(c - 7)*(c - 2)*(5*c - 1)/11
Factor 5*m**3 + 205*m**2.
5*m**2*(m + 41)
Factor -r**2 - 26*r - 169.
-(r + 13)**2
Factor -5*o**3 - 55*o**2 + 210*o.
-5*o*(o - 3)*(o + 14)
Factor -2*b**3/19 + 106*b**2/19 + 1488*b/19 + 4680/19.
-2*(b - 65)*(b + 6)**2/19
Factor -3*c**3 - 36*c**2 - 123*c - 126.
-3*(c + 2)*(c + 3)*(c + 7)
Factor 35*s**3 - 8950*s**2 - 2560*s.
5*s*(s - 256)*(7*s + 2)
Factor 4*s**2 - 364*s.
4*s*(s - 91)
Solve -2*c**4/5 - 6*c**3 - 144*c**2/5 - 216*c/5 = 0 for c.
-6, -3, 0
Factor -62*a**2 + 236*a - 150.
-2*(a - 3)*(31*a - 25)
Factor -25*w**4 - 15*w**3.
-5*w**3*(5*w + 3)
Factor 3*i**2/2 + i/2 - 1.
(i + 1)*(3*i - 2)/2
Suppose 8*z**2 + 260*z - 132 = 0. Calculate z.
-33, 1/2
Determine z so that -z**4/6 - 11*z**3/6 - 19*z**2/3 - 20*z/3 = 0.
-5, -4, -2, 0
What is z in z**2 + 152*z + 5776 = 0?
-76
Suppose -w**2/4 + 22*w - 363 = 0. What is w?
22, 66
Factor -5*u**2 - 210*u - 2205.
-5*(u + 21)**2
Find n such that 6*n**5/5 + 18*n**4/5 - 42*n**3/5 - 42*n**2/5 + 108*n/5 - 48/5 = 0.
-4, -2, 1
Factor 2*q**2/13 - 28*q/13.
2*q*(q - 14)/13
Factor -3*y**3/7 - 15633*y**2/7 - 2908296*y + 20373708/7.
-3*(y - 1)*(y + 2606)**2/7
Find z such that 2*z**5/9 + 8*z**4/9 - 20*z**2/9 - 2*z/9 + 4/3 = 0.
-3, -2, -1, 1
Factor 5*p**2 - 10*p - 40.
5*(p - 4)*(p + 2)
Factor 4*f**4 - 208*f**3 + 2064*f**2 - 5760*f.
4*f*(f - 40)*(f - 6)**2
Factor -n**2/5 + 44*n/5.
-n*(n - 44)/5
Solve 13*g**3/6 - 1667*g**2/6 + 26816*g/3 - 2048 = 0 for g.
3/13, 64
Let 3*u**3 + 123*u**2 + 1056*u - 4356 = 0. Calculate u.
-22, 3
Factor -2*a**3 - 58*a**2 - 144*a + 4536.
-2*(a - 7)*(a + 18)**2
Factor x**2/4 - 67*x/4 + 63.
(x - 63)*(x - 4)/4
Factor -w**3 + 5*w**2 - 2*w - 8.
-(w - 4)*(w - 2)*(w + 1)
Factor 12*i**3 + 14276*i**2 - 19052*i + 4764.
4*(i - 1)*(i + 1191)*(3*i - 1)
Let 2*l**5/5 - 14*l**4/5 + 4*l**3 + 4*l**2/5 - 22*l/5 + 2 = 0. What is l?
-1, 1, 5
Determine z, given that -5*z**3 - 110*z**2 - 285*z = 0.
-19, -3, 0
Factor -2*a**3/3 + 56*a**2/3 + 250*a/3 + 64.
-2*(a - 32)*(a + 1)*(a + 3)/3
Determine p, given that -3*p**4/5 + 3*p**3 + 12*p**2/5 - 12*p = 0.
-2, 0, 2, 5
Let -3*j**5/5 - 72*j**4/5 + 3*j**3/5 + 72*j**2/5 = 0. What is j?
-24, -1, 0, 1
Factor -3*f**2 + 108.
-3*(f - 6)*(f + 6)
What is k in -k**3/3 + 8*k**2/3 - 5*k/3 - 14/3 = 0?
-1, 2, 7
Factor q**5 - 5*q**4 - 24*q**3 - 4*q**2 + 32*q.
q*(q - 8)*(q - 1)*(q + 2)**2
What is y in -2*y**4/7 + 6*y**3/7 - 4*y**2/7 = 0?
0, 1, 2
Determine i so that 5*i**4/2 - 53*i**3/2 + 115*i**2/2 - 91*i/2 + 12 = 0.
3/5, 1, 8
Factor -2*x**2/3 - 28*x/3 - 16.
-2*(x + 2)*(x + 12)/3
Suppose -14*r**4 + 76*r**3 - 128*r**2 + 84*r - 18 = 0. Calculate r.
3/7, 1, 3
Factor 2*o**4 + 12*o**3 + 16*o**2.
2*o**2*(o + 2)*(o + 4)
Find k, given that -2*k**2/3 - 428*k/3 - 142 = 0.
-213, -1
Factor 2*u**3 - 2*u.
2*u*(u - 1)*(u + 1)
Factor 27*w**2 - 55*w + 28.
(w - 1)*(27*w - 28)
Factor 4*y**4/5 + 48*y**3/5 + 84*y**2/5 + 8*y.
4*y*(y + 1)**2*(y + 10)/5
Determine g so that -15*g**3 + 680*g**2 - 1475*g - 1290 = 0.
-2/3, 3, 43
Determine r, given that r**5 + 8*r**4 + 25*r**3 + 38*r**2 + 28*r + 8 = 0.
-2, -1
Factor -6*g**4/7 + 30*g**3/7 - 6*g**2 + 18*g/7.
-6*g*(g - 3)*(g - 1)**2/7
Factor 2*z**4 + 104*z**3 + 972*z**2 - 10904*z - 11774.
2*(z - 7)*(z + 1)*(z + 29)**2
Factor 3*f**3/4 - 57*f**2/4 + 105*f/4 - 51/4.
3*(f - 17)*(f - 1)**2/4
Solve -6*i**4 - 3*i**3 + 6*i**2 + 3*i = 0.
-1, -1/2, 0, 1
Factor p**2 - 127*p - 798.
(p - 133)*(p + 6)
Factor 14*h**2/5 - 2062*h/15 + 196/15.
2*(h - 49)*(21*h - 2)/15
Find j, given that -50*j**2/3 + 10*j/3 - 1/6 = 0.
1/10
Factor 3*c**5 + 27*c**4 + 72*c**3 + 60*c**2.
3*c**2*(c + 2)**2*(c + 5)
Suppose -2*g**2/9 - 260*g/9 - 8450/9 = 0. What is g?
-65
Suppose 5*i**4 + 25*i**3 - 5*i**2 - 25*i = 0. Calculate i.
-5, -1, 0, 1
Factor m**2/4 - 94*m + 8836.
(m - 188)**2/4
Find w such that 2*w**2/13 - 18*w - 476/13 = 0.
-2, 119
Factor 4*y**4 - 112*y**3 + 784*y**2.
4*y**2*(y - 14)**2
Find k such that k**2/2 + 1403*k/2 - 702 = 0.
-1404, 1
Solve 5*c**3 + 30*c**2 - 605*c - 630 = 0.
-14, -1, 9
Find g such that 3*g**2 + 18*g + 24 = 0.
-4, -2
Factor 2*f**2 - 8.
2*(f - 2)*(f + 2)
Factor 3*z**3/5 - 507*z**2/5 - 102*z.
3*z*(z - 170)*(z + 1)/5
Factor 3*q**4 + 3*q**3 - 36*q**2 + 12*q + 48.
3*(q - 2)**2*(q + 1)*(q + 4)
Factor -3*m**5 - 48*m**4 - 162*m**3 - 228*m**2 - 147*m - 36.
-3*(m + 1)**4*(m + 12)
Factor -2*o**3/23 - 12*o**2/23 - 10*o/23 + 24/23.
-2*(o - 1)*(o + 3)*(o + 4)/23
Suppose 4*f**3 + 3568*f**2 + 7124*f + 3560 = 0. Calculate f.
-890, -1
Factor v**3/3 + 31*v**2/3 + 226*v/3 + 112.
(v + 2)*(v + 8)*(v + 21)/3
Factor 3*k**4/2 + 18*k**3 - 111*k**2 - 990*k + 9075/2.
3*(k - 5)**2*(k + 11)**2/2
Factor -3*i**4 + 360*i**3 - 10359*i**2 - 31110*i + 267912.
-3*(i - 61)**2*(i - 4)*(i + 6)
Factor -14*i**3 + 10*i**2 + 88*i + 24.
-2*(i - 3)*(i + 2)*(7*i + 2)
Factor -2*r**2/9 - 2*r/3.
-2*r*(r + 3)/9
Factor -h**2/3 - 92*h/3 - 89.
-(h + 3)*(h + 89)/3
Let -2*x**3 - 3064*x**2 + 6134*x - 3068 = 0. What is x?
-1534, 1
Suppose -2*w**5 - 10*w**4 + 64*w**3 - 72*w**2 = 0. Calculate w.
-9, 0, 2
Factor -2*m**2/13 + 84*m/13 - 432/13.
-2*(m - 36)*(m - 6)/13
Factor -5*r**3 - 225*r**2.
-5*r**2*(r + 45)
Factor -155*o**3 - 1250*o**2 - 2560*o - 160.
-5*(o + 4)**2*(31*o + 2)
Let 3*h**2 - 108*h + 972 = 0. What is h?
18
Factor -r**2 - 206*r - 10609.
-(r + 103)**2
Suppose -5*c**5 + 1470*c**4 + 2965*c**3 - 1470*c**2 - 2960*c = 0. Calculate c.
-2, -1