r -l**2/7 + 64*l/7 + 65/7.
-(l - 65)*(l + 1)/7
Determine f so that 2*f**5 + 26*f**4 - 60*f**3 + 4*f**2 + 58*f - 30 = 0.
-15, -1, 1
Factor 51*n**3/4 + 434*n**2 + 14807*n/4 + 289/2.
(n + 17)**2*(51*n + 2)/4
Factor 3*y**3 - 15*y**2 + 12*y.
3*y*(y - 4)*(y - 1)
Find r such that -8*r**2 + 88*r - 242 = 0.
11/2
Factor -2440*t**2 + 2435*t + 5.
-5*(t - 1)*(488*t + 1)
What is d in -2*d**5/15 + 6*d**4 - 934*d**3/15 - 514*d**2/3 + 6256*d/5 - 4232/3 = 0?
-5, 2, 23
Suppose -4*l**3/3 + 3805*l**2/3 - 903448*l/3 - 226576 = 0. What is l?
-3/4, 476
Let -20*l**4 - 422*l**3 + 4278*l**2 - 8848*l - 928 = 0. Calculate l.
-29, -1/10, 4
Solve -x**3/2 + x**2/2 + x = 0.
-1, 0, 2
Solve -4*s**4 + 34*s**3/3 - 32*s**2/3 + 10*s/3 = 0 for s.
0, 5/6, 1
Let -v**2 - 2*v + 483 = 0. Calculate v.
-23, 21
Factor -2*m**5/13 + 8*m**4/13 - 12*m**3/13 + 8*m**2/13 - 2*m/13.
-2*m*(m - 1)**4/13
Let -m**2 + 2878*m - 2070721 = 0. What is m?
1439
Find q such that 12*q**2 + 32*q - 12 = 0.
-3, 1/3
Let -9*d**4 - 798*d**3 + 1905*d**2 - 546*d = 0. What is d?
-91, 0, 1/3, 2
Factor 3*o**3/4 + 27*o**2/4 - 9*o - 15.
3*(o - 2)*(o + 1)*(o + 10)/4
Find v, given that 4*v**3 + 52*v**2 + 224*v + 320 = 0.
-5, -4
Determine i so that -2*i**2/7 + 22*i/7 + 12 = 0.
-3, 14
Factor k**3 - 51*k**2.
k**2*(k - 51)
Factor -2*k**2 - 216*k - 5832.
-2*(k + 54)**2
Factor c**3/4 - 183*c/4 - 91/2.
(c - 14)*(c + 1)*(c + 13)/4
Suppose -4*m**2 + 16*m + 84 = 0. Calculate m.
-3, 7
Determine x so that x**4/4 + x**3 - 21*x**2/4 + x + 7 = 0.
-7, -1, 2
Find j, given that 2*j**4/3 + 22*j**3/3 - 58*j**2/3 - 26*j = 0.
-13, -1, 0, 3
Let -2*l**3/3 - 62*l**2/3 - 172*l/3 - 112/3 = 0. What is l?
-28, -2, -1
Suppose -3*h**5 + 33*h**4 + 9*h**3 - 105*h**2 + 66*h = 0. What is h?
-2, 0, 1, 11
Factor -2*d**2 + 2*d + 12.
-2*(d - 3)*(d + 2)
Suppose 2*y**4/13 - 28*y**3/13 + 98*y**2/13 = 0. What is y?
0, 7
Factor -4*b**2/7 + 1280*b/7 - 102400/7.
-4*(b - 160)**2/7
Factor -2*x**2/17 + 78*x/17 + 112.
-2*(x - 56)*(x + 17)/17
Factor -2*s**3 - 40*s**2 - 74*s - 36.
-2*(s + 1)**2*(s + 18)
Solve -5*m**2 + 10*m + 40 = 0 for m.
-2, 4
Let 2*m**5/3 - 43*m**4/3 + 86*m**3 - 260*m**2/3 - 200*m/3 = 0. What is m?
-1/2, 0, 2, 10
Find r, given that -r**2/2 - 15*r/2 - 7 = 0.
-14, -1
Solve -i**4 + 5*i**3 - 7*i**2 + 3*i = 0.
0, 1, 3
Factor 2*y**2 + 11*y/3 - 2/3.
(y + 2)*(6*y - 1)/3
Determine y, given that -18*y**5/7 + 132*y**4/7 - 314*y**3/7 + 264*y**2/7 - 72*y/7 = 0.
0, 2/3, 3
Factor 8821888*f**3 - 161376*f**2 + 984*f - 2.
2*(164*f - 1)**3
Determine b so that 3*b**2/8 + 61*b/4 - 41/8 = 0.
-41, 1/3
Factor -3*g**5 - 15*g**4 + 24*g**3 + 144*g**2.
-3*g**2*(g - 3)*(g + 4)**2
Find g such that 2*g**5/9 - 4*g**4/9 - 2*g**3/3 + 8*g**2/9 + 8*g/9 = 0.
-1, 0, 2
Factor -2*r**3/23 + 26*r**2/23.
-2*r**2*(r - 13)/23
What is m in 2*m**5 + 32*m**4 - 38*m**3 - 68*m**2 = 0?
-17, -1, 0, 2
Factor -25*r**5 + 85*r**4 + 60*r**3.
-5*r**3*(r - 4)*(5*r + 3)
Solve 4*k**2/5 + 148*k/5 + 144/5 = 0.
-36, -1
Factor -2*f**3/7 - 194*f**2/7 + 394*f/7 - 198/7.
-2*(f - 1)**2*(f + 99)/7
Factor -4*u**2 - 888*u - 49284.
-4*(u + 111)**2
Suppose 720*u**3 - 1560*u**2 - 1675*u - 375 = 0. What is u?
-5/12, 3
What is c in -c**4/3 + c**3 + c**2 - 11*c/3 + 2 = 0?
-2, 1, 3
Factor v**2/4 - 18*v + 324.
(v - 36)**2/4
Factor -2*j**3 + 62*j**2 - 272*j + 312.
-2*(j - 26)*(j - 3)*(j - 2)
Determine p so that -p**4/6 + 7*p**3/3 - 61*p**2/6 + 14*p - 6 = 0.
1, 6
Determine y so that -18*y**5 - 28*y**4 + 16*y**3 = 0.
-2, 0, 4/9
Factor 2*f**2/11 - 602*f/11 + 600/11.
2*(f - 300)*(f - 1)/11
Factor -c**2/2 - 171*c/2 + 173.
-(c - 2)*(c + 173)/2
Let -3*f**5/4 - 33*f**4 - 75*f**3 + 1365*f**2/2 - 4017*f/4 + 861/2 = 0. Calculate f.
-41, -7, 1, 2
Determine f, given that -2*f**4/3 + 74*f**3/9 - 80*f**2/3 + 8*f = 0.
0, 1/3, 6
Determine s so that 7*s**3/6 - 3545*s**2/2 + 1519*s/3 = 0.
0, 2/7, 1519
Factor 5*k**2 + 1740*k + 151380.
5*(k + 174)**2
Factor 5*n**5 - 20*n**4 + 30*n**3 - 20*n**2 + 5*n.
5*n*(n - 1)**4
Factor l**3/3 + 71*l**2/3 + 272*l/3 + 268/3.
(l + 2)**2*(l + 67)/3
Factor 5*c**2 + 350*c.
5*c*(c + 70)
Solve 8*m**2 + 202*m + 50 = 0 for m.
-25, -1/4
Factor j**5/5 - 84*j**4/5 + 369*j**3 - 3362*j**2/5.
j**2*(j - 41)**2*(j - 2)/5
Factor 3*f**3 - 21*f**2 - 51*f - 27.
3*(f - 9)*(f + 1)**2
Factor 1374*n**2/23 - 1370*n/23 - 4/23.
2*(n - 1)*(687*n + 2)/23
What is q in 2*q**3/3 + 10*q**2/3 + 8*q/3 = 0?
-4, -1, 0
Factor p**3/5 - 7*p**2/5 - 8*p + 20.
(p - 10)*(p - 2)*(p + 5)/5
Factor -2*t**4/11 - 18*t**3/11 + 20*t**2/11.
-2*t**2*(t - 1)*(t + 10)/11
Solve 2*v**2/5 + 54*v - 272/5 = 0 for v.
-136, 1
Find y such that 2*y**5/7 - 12*y**4/7 - 50*y**3/7 - 36*y**2/7 = 0.
-2, -1, 0, 9
Suppose -9*h**5 - 6*h**4 + 23*h**3 - 4*h**2 - 4*h = 0. Calculate h.
-2, -1/3, 0, 2/3, 1
Factor -4*g**3 - 12*g**2 + 16*g + 48.
-4*(g - 2)*(g + 2)*(g + 3)
Suppose -2*l**5 - 228*l**4 + 6*l**3 + 680*l**2 - 456*l = 0. What is l?
-114, -2, 0, 1
Factor z**2/5 - 27*z/5 + 10.
(z - 25)*(z - 2)/5
Solve -n**4/8 - 29*n**3/8 + 99*n**2/4 - 103*n/2 + 35 = 0.
-35, 2
Find l, given that 2*l**2/7 + 8*l/7 + 6/7 = 0.
-3, -1
Factor -2*u**3 - 840*u**2 - 87354*u + 178084.
-2*(u - 2)*(u + 211)**2
Determine f so that -3*f**5 + 15*f**4 + 183*f**3 + 237*f**2 - 684*f - 1188 = 0.
-3, -2, 2, 11
Factor -2*c**5/7 - 6*c**4/7 + 18*c**3/7 - 10*c**2/7.
-2*c**2*(c - 1)**2*(c + 5)/7
Determine h, given that -49*h**4/4 - 1631*h**3/4 - 450*h**2 + 1701*h - 864 = 0.
-32, -3, 6/7
Find k, given that -3*k**2/5 + 327*k/5 = 0.
0, 109
Find p such that -2*p**4/3 + 14*p**3/9 + 2*p**2/3 - 14*p/9 = 0.
-1, 0, 1, 7/3
Determine l, given that l**3/2 + 747*l**2/2 + 139875*l/2 + 139129/2 = 0.
-373, -1
Determine i, given that -10*i**3 - 564*i**2 - 1304*i - 432 = 0.
-54, -2, -2/5
Factor -f**2/8 - 3*f/8 + 5/4.
-(f - 2)*(f + 5)/8
Let b**3 + 218*b**2 + 433*b + 216 = 0. Calculate b.
-216, -1
What is n in 5*n**3 - 1020*n**2 - 1025*n = 0?
-1, 0, 205
Factor 2*o**4/3 + 50*o**3/3 + 112*o**2 + 96*o.
2*o*(o + 1)*(o + 12)**2/3
Let -2*z**4/7 - 124*z**3/7 - 2522*z**2/7 - 18600*z/7 - 45000/7 = 0. What is z?
-25, -6
Let 5*i**4/4 - 45*i**3/4 + 30*i**2 - 25*i = 0. What is i?
0, 2, 5
Factor 2*t**2/11 - 32*t/11 + 120/11.
2*(t - 10)*(t - 6)/11
Factor -25*p**2 + 1530*p - 305.
-5*(p - 61)*(5*p - 1)
Suppose 5*b**3 + 120*b**2 + 225*b - 6750 = 0. Calculate b.
-15, 6
What is q in -3*q**4/7 + 57*q**3/7 - 396*q**2/7 + 1188*q/7 - 1296/7 = 0?
3, 4, 6
Suppose -3*p**5 - 9*p**4 + 126*p**3 - 300*p**2 + 216*p = 0. What is p?
-9, 0, 2
Determine w so that -12*w**5/7 + 114*w**4/7 - 234*w**3/7 - 30*w**2 + 150*w/7 = 0.
-1, 0, 1/2, 5
Let -5*k**5 - 2*k**4 + 20*k**3 + 8*k**2 = 0. What is k?
-2, -2/5, 0, 2
Factor -l**2/5 - 3*l/5 + 18/5.
-(l - 3)*(l + 6)/5
Factor 2*c**3 - 770*c**2 + 75254*c - 218886.
2*(c - 191)**2*(c - 3)
Factor -3*i**4/5 + 162*i**2/5 + 648*i/5 + 729/5.
-3*(i - 9)*(i + 3)**3/5
Factor 3*k**4 + 654*k**3 + 38715*k**2 + 330096*k + 292032.
3*(k + 1)*(k + 9)*(k + 104)**2
Determine u, given that 2*u**5/17 - 152*u**4/17 + 2028*u**3/17 + 32680*u**2/17 + 92450*u/17 = 0.
-5, 0, 43
Let -5*p**5 - 55*p**4 - 85*p**3 + 355*p**2 - 210*p = 0. What is p?
-7, -6, 0, 1
Determine x so that -125*x**4 + 775*x**3 + 2930*x**2 + 1940*x + 360 = 0.
-2, -2/5, 9
Factor 25*z**2 + 590*z - 240.
5*(z + 24)*(5*z - 2)
Factor -3*p**2 - 13758*p - 15773547.
-3*(p + 2293)**2
Factor 11*t**3/6 - 31*t**2/6 - 157*t/3 - 28/3.
(t - 7)*(t + 4)*(11*t + 2)/6
What is z in -3*z**3/4 - 3*z**2/2 + 15*z - 18 = 0?
-6, 2
Determine z, given that -z**4/6 + 11*z**2/6 + 3*z + 4/3 = 0.
-2, -1, 4
Determine c, given that 3*c**5 + 27*c**4 - 63*c**3 + 33*c**2 = 0.
-11, 0, 1
Factor -4*z**2/7 - 188*z/7.
-4*z*(z + 47)/7
Factor n**3/3 + 275*n**2 + 75625*n + 20796875/3.
(n + 275)**3/3
What is z in -2*z**3/7 - 12*z**2/7 + 8*z/7 + 48/7 = 0?
-6, -2, 2
Let r**5/2 - r**4 - 17*r**3/2 - r**2 + 26*r + 20 = 0. What is r?
-2, -1, 2, 5
Solve -70*o**5 + 225*o**4 - 35*o**3 - 30*o**2 = 0 for o.
-2/7, 0, 1/2, 3
Factor -2*r**2/5 + 6358*r/5 - 6356/5.
-2*(r - 3178)*(r - 1)/5
Find u, given that -435*u**3 + 55*u**2 + 30*u = 0.
-6/29, 0, 1/3
Factor l**3 + 759*l**2 + 144399*l + 143641.
(l + 1)*(l + 379)**2
Factor -4*x**2 - 1152*x.
-4*x*(x + 288)
Factor -103*o**2 + 306*o + 9.
-(o - 3)*(103*o + 3)
Determine d so that 2*d**5/3 + 284*d**4/3 + 3716*d**3 + 75320*d**2/3 + 118322*d/3 + 17956 = 0.
-67, -6, -1
Factor -507*k**3 - 33618*k**2 - 10308*k - 792.
-3*(k + 66)*(