/7 + 10.
-2*(2*q - 5)*(13*q + 7)/7
Factor g**5/4 + g**4/2 - 21*g**3/4 + 9*g**2/2.
g**2*(g - 3)*(g - 1)*(g + 6)/4
Factor 4*n**5 - 12*n**4 - 4*n**3 + 44*n**2 - 48*n + 16.
4*(n - 2)*(n - 1)**3*(n + 2)
Factor 55*n**4 + 350*n**3 + 180*n**2 - 2430*n - 3915.
5*(n + 3)**3*(11*n - 29)
Find b, given that -16*b**5/7 - 396*b**4/7 + 3700*b**3/7 - 500*b**2/7 - 3684*b/7 + 128 = 0.
-32, -1, 1/4, 1, 7
Factor 2*r**2/17 + 488*r/17 + 486/17.
2*(r + 1)*(r + 243)/17
What is m in -4*m**5 + 280*m**4 - 272*m**3 - 280*m**2 + 276*m = 0?
-1, 0, 1, 69
Solve 35*l**3 + 1040*l**2 + 1660*l - 560 = 0.
-28, -2, 2/7
Solve -i**2/4 + 174*i - 30276 = 0 for i.
348
Determine g so that 12*g**4 + 68*g**3 + 88*g**2 = 0.
-11/3, -2, 0
Factor -2*n**4/5 - 196*n**3/5 + 398*n**2/5 - 40*n.
-2*n*(n - 1)**2*(n + 100)/5
Find h, given that 3*h**4 - 21*h**3 - 24*h**2 = 0.
-1, 0, 8
Factor -8*w**4 + 50*w**3 - 76*w**2 + 16*w.
-2*w*(w - 4)*(w - 2)*(4*w - 1)
Solve -2*d**5 + 16*d**4 + 94*d**3 - 212*d**2 - 992*d - 704 = 0 for d.
-4, -2, -1, 4, 11
Let v**3/2 - 2*v**2 + v/2 + 3 = 0. What is v?
-1, 2, 3
Let 4*g**2/3 + 5*g/3 + 1/3 = 0. What is g?
-1, -1/4
Factor p**4/3 - 5*p**3/3 - p**2/3 + 5*p/3.
p*(p - 5)*(p - 1)*(p + 1)/3
Determine h so that -4*h**5/3 - 412*h**4/3 - 10396*h**3/3 + 11228*h**2/3 + 10400*h/3 - 10816/3 = 0.
-52, -1, 1
Suppose -4*h**5 + 28*h**3 - 24*h**2 = 0. What is h?
-3, 0, 1, 2
Factor 4*y**2 - 64*y + 156.
4*(y - 13)*(y - 3)
Solve 1000664355604*j**4 + 250642520113*j**3 + 119183415*j**2 + 18907*j + 1 = 0 for j.
-1/4, -1/6301
Determine t so that t**5/6 + 5*t**4/6 - 8*t**3 + 14*t**2/3 + 40*t/3 = 0.
-10, -1, 0, 2, 4
Factor -4*r**3 + 156*r - 280.
-4*(r - 5)*(r - 2)*(r + 7)
Factor 2*x**5 - 32*x**4 + 156*x**3 - 160*x**2 - 350*x.
2*x*(x - 7)*(x - 5)**2*(x + 1)
Factor -5*r**3 - 545*r**2 + 2245*r - 1695.
-5*(r - 3)*(r - 1)*(r + 113)
Solve -2*c**2/5 + 14*c/5 + 36/5 = 0 for c.
-2, 9
Find i, given that 6*i**5 + 730*i**4 + 4696*i**3 + 11136*i**2 + 11072*i + 3680 = 0.
-115, -2, -2/3
Solve -2*a**5/13 - 348*a**4/13 + 354*a**3/13 + 700*a**2/13 = 0 for a.
-175, -1, 0, 2
Suppose k**2/2 + 4047*k/2 + 2023 = 0. What is k?
-4046, -1
Factor 5*s**2/4 - 55*s + 605.
5*(s - 22)**2/4
Let 2*d**2/5 + 25392*d/5 + 80594208/5 = 0. Calculate d.
-6348
Solve -3*a**5/2 - 117*a**4/2 - 354*a**3 - 576*a**2 = 0 for a.
-32, -4, -3, 0
Solve -2*p**5 - 16*p**4 - 42*p**3 - 28*p**2 + 40*p + 48 = 0.
-3, -2, 1
Determine p so that 4*p**2/3 + 64*p = 0.
-48, 0
Solve 4*r**4 + 720*r**3 - 8264*r**2 + 26640*r - 19100 = 0 for r.
-191, 1, 5
Factor m**2/5 - 3*m/5 - 2.
(m - 5)*(m + 2)/5
Factor 2*x**3/15 + 8*x**2/5 - 8*x/15 - 32/5.
2*(x - 2)*(x + 2)*(x + 12)/15
Factor 3*r**2/5 - 48*r/5 + 117/5.
3*(r - 13)*(r - 3)/5
Factor -2*v**3/3 - 10*v**2/3 + 64*v/3 - 24.
-2*(v - 2)**2*(v + 9)/3
Factor 2*l**3 - 26*l + 24.
2*(l - 3)*(l - 1)*(l + 4)
Determine z, given that 65*z**5 - 375*z**4 + 495*z**3 - 125*z**2 - 60*z = 0.
-3/13, 0, 1, 4
Solve 4*b**5 - 10*b**4 + 4*b**3 = 0.
0, 1/2, 2
Let -2*g**3/7 - 24*g**2 + 1440*g/7 - 2944/7 = 0. Calculate g.
-92, 4
Factor 2*w**3/7 - 134*w**2/7 + 330*w - 2178/7.
2*(w - 33)**2*(w - 1)/7
Find i such that -2*i**3/3 - 32*i**2/3 - 104*i/3 - 32 = 0.
-12, -2
Factor 2*u**2/3 - 62*u/3 - 44.
2*(u - 33)*(u + 2)/3
Factor -4*i**2 - 52*i - 144.
-4*(i + 4)*(i + 9)
What is j in j**4/5 + 16*j**3/5 + 78*j**2/5 + 112*j/5 + 49/5 = 0?
-7, -1
Factor 5*m**2 - 80*m + 195.
5*(m - 13)*(m - 3)
Determine o, given that -2*o**5/3 - 1366*o**4/3 - 103512*o**3 - 7797600*o**2 + 7901568*o = 0.
-228, 0, 1
Determine p so that -5*p**2 + 1265*p = 0.
0, 253
Find h, given that 3*h**5 + 57*h**4 - 501*h**3 + 1131*h**2 - 1002*h + 312 = 0.
-26, 1, 4
Factor 28*k**3 - 480*k**2 + 516*k - 64.
4*(k - 16)*(k - 1)*(7*k - 1)
What is s in 4*s**4 + 20*s**3 - 4*s**2 - 20*s = 0?
-5, -1, 0, 1
Solve -3*t**4 - 72*t**3 + 321*t**2 - 414*t + 168 = 0 for t.
-28, 1, 2
Factor -s**5/11 + 16*s**3/11 + 38*s**2/11 + 3*s + 10/11.
-(s - 5)*(s + 1)**3*(s + 2)/11
Find p such that -3*p**3/2 - 76*p**2 - 243*p/2 + 49 = 0.
-49, -2, 1/3
What is g in g**2/2 - 357*g + 127449/2 = 0?
357
Let -k**4/2 - 11*k**3/2 + 93*k**2/2 + 215*k/2 + 56 = 0. Calculate k.
-16, -1, 7
Solve 5*z**4/4 - 73*z**3/4 - 145*z**2/2 - 71*z - 18 = 0 for z.
-2, -1, -2/5, 18
Factor -6*x**2/11 + 70*x/11 + 24/11.
-2*(x - 12)*(3*x + 1)/11
Solve -3*w**3/4 + 509*w**2/2 + 170*w = 0 for w.
-2/3, 0, 340
What is y in -25*y**5/2 + 60*y**4 + 173*y**3 + 132*y**2 + 63*y/2 = 0?
-1, -3/5, 0, 7
Let z**2/9 + 1454*z/9 = 0. Calculate z.
-1454, 0
What is g in g**2/2 - 8 = 0?
-4, 4
Factor -3*h**2 - 762*h + 3885.
-3*(h - 5)*(h + 259)
Solve v**5/2 - 11*v**4/2 + 5*v**3/2 + 47*v**2/2 + 15*v = 0.
-1, 0, 3, 10
Factor -c**5/4 - 2*c**4 - 7*c**3/4.
-c**3*(c + 1)*(c + 7)/4
Factor 3*a**3 - 9723*a**2 + 7873197*a + 7882923.
3*(a - 1621)**2*(a + 1)
Factor q**2/6 + 7*q + 39/2.
(q + 3)*(q + 39)/6
Let -4*w**4 + 44*w**3 - 144*w**2 + 144*w = 0. What is w?
0, 2, 3, 6
Determine n so that 3*n**2/5 - 6*n/5 = 0.
0, 2
Factor -4*b**3 + 180*b**2 - 672*b + 656.
-4*(b - 41)*(b - 2)**2
Factor 5*a**3 + 145*a**2 + 975*a - 1125.
5*(a - 1)*(a + 15)**2
Factor -r**3/8 + 5*r**2/2 - 6*r - 72.
-(r - 12)**2*(r + 4)/8
Factor -2*z**2/13 + 536*z/13 - 35912/13.
-2*(z - 134)**2/13
Factor -d**2 + 10*d + 24.
-(d - 12)*(d + 2)
Factor 5*j**2 + 120*j - 125.
5*(j - 1)*(j + 25)
Factor b**4/3 + 17*b**3/3 + 31*b**2/3 + 5*b.
b*(b + 1)**2*(b + 15)/3
Determine n, given that 25*n**2 - 465*n - 190 = 0.
-2/5, 19
Factor 25*y**2 + 395*y - 890.
5*(y - 2)*(5*y + 89)
Determine b, given that -20*b**3/9 - 188*b**2/9 - 352*b/9 - 112/9 = 0.
-7, -2, -2/5
Determine n, given that n**3 + 25*n**2 - 53*n + 27 = 0.
-27, 1
Find o, given that -7*o**3 + 23*o**2 - 6*o = 0.
0, 2/7, 3
Factor d**4/3 + d**3/3 - 7*d**2 - 3*d + 36.
(d - 3)**2*(d + 3)*(d + 4)/3
Factor -5*f**2 + 125.
-5*(f - 5)*(f + 5)
Factor -784*s**3 - 210*s**2 + 4*s.
-2*s*(7*s + 2)*(56*s - 1)
Factor -k**2 - 448*k - 50176.
-(k + 224)**2
Factor 2*b**5/5 - 12*b**4/5 + 26*b**3/5 - 24*b**2/5 + 8*b/5.
2*b*(b - 2)**2*(b - 1)**2/5
Solve 2*k**5 + 26*k**4/5 - 12*k**3/5 - 8*k**2 + 16*k/5 = 0 for k.
-2, 0, 2/5, 1
Factor 4*w**5 + 336*w**4 + 332*w**3.
4*w**3*(w + 1)*(w + 83)
Factor -g**2 + 1684*g - 708964.
-(g - 842)**2
Factor p**3/11 - 12*p**2/11 + 47*p/11 - 60/11.
(p - 5)*(p - 4)*(p - 3)/11
Factor -10*q**3 - 36*q**2 - 24*q + 16.
-2*(q + 2)**2*(5*q - 2)
Factor -4*t**2 + 1464*t + 4428.
-4*(t - 369)*(t + 3)
Let -5*l**4/4 - 10*l**3 - 35*l**2/4 = 0. What is l?
-7, -1, 0
Determine n, given that 5*n**4 + 335*n**3 + 3800*n**2 - 64980*n = 0.
-38, 0, 9
Let 4*p**4/7 + 16*p**3/7 - 204*p**2/7 - 1240*p/7 - 1600/7 = 0. Calculate p.
-5, -2, 8
What is b in 2*b**5/3 + 13*b**4/3 + b**3/3 - 28*b**2/3 + 4*b = 0?
-6, -2, 0, 1/2, 1
Find d, given that -3*d**3 + 399*d**2 - 13065*d - 13467 = 0.
-1, 67
What is j in -5*j**3 + 120*j**2 + 545*j + 420 = 0?
-3, -1, 28
Factor 5*n**4 + 465*n**3 + 460*n**2.
5*n**2*(n + 1)*(n + 92)
Factor -l**5 + 6*l**4 - 8*l**3 - 6*l**2 + 9*l.
-l*(l - 3)**2*(l - 1)*(l + 1)
Solve -2*o**3 + 20*o**2 - 50*o = 0.
0, 5
Suppose 2*t**2/5 + 88*t/5 + 968/5 = 0. What is t?
-22
Factor -p**3 + 10*p**2 - 23*p + 14.
-(p - 7)*(p - 2)*(p - 1)
Factor -2*s**2 - 62*s - 60.
-2*(s + 1)*(s + 30)
Factor -2*s**2/19 + 56*s/19 - 54/19.
-2*(s - 27)*(s - 1)/19
Factor -2*i**4 - 20*i**3 - 66*i**2 - 80*i - 32.
-2*(i + 1)**2*(i + 4)**2
Find q, given that q**4 + 6*q**3 - 28*q**2 - 6*q + 27 = 0.
-9, -1, 1, 3
Factor 2*h**2 - 240*h + 7200.
2*(h - 60)**2
Factor 3*p**4/5 - 21*p**3 - 1692*p**2/5.
3*p**2*(p - 47)*(p + 12)/5
Factor -2*b**5/3 + 10*b**4/3 - 8*b**3/3.
-2*b**3*(b - 4)*(b - 1)/3
Determine a so that 4*a**3 + 21*a**2 + 29*a + 6 = 0.
-3, -2, -1/4
Factor 3*p**4 - 9*p**3 + 6*p**2.
3*p**2*(p - 2)*(p - 1)
Find d such that 2*d**3/21 + 4*d**2/7 + 2*d/7 - 20/21 = 0.
-5, -2, 1
Determine l, given that -3*l**2/2 - 13506*l - 30402006 = 0.
-4502
Solve -9*z**3/2 - 17*z**2 + 53*z/2 - 5 = 0.
-5, 2/9, 1
Suppose -5*d**5/2 + 275*d**4/2 - 1515*d**3/2 + 2225*d**2/2 - 490*d = 0. What is d?
0, 1, 4, 49
Factor -2*x**3 + 410*x**2 - 408*x.
-2*x*(x - 204)*(x - 1)
Factor -3*g**2 - 2142*g - 382347.
-3*(g + 357)**2
Factor -2*y**3 + 418*y**2 - 22454*y + 63654.
-2*(y - 103)**2*(y - 3)
Factor d**2 - 354*d + 31329.
(d - 177)**2
Solve 4*o**2 - 420*o - 856 = 0.
-2, 107
Let -5*v**5 - 35*v**4 + 10*v**3 + 70*v**2 - 5*v - 35 = 0. Calculate v.
-7, -1, 1
Let 15