**2/7 - 36*i/7 + 33/7 = 0. Calculate i.
1, 11
Find i, given that 15*i**3 - 2604*i**2 + 1551*i + 1038 = 0.
-2/5, 1, 173
Find u, given that -u**5 + 76*u**4 - 1440*u**3 - 304*u**2 + 5776*u = 0.
-2, 0, 2, 38
Factor c**5 + 5*c**4 + 4*c**3.
c**3*(c + 1)*(c + 4)
Factor 3*y**4/7 + 15*y**3/7 - 12*y**2/7 - 60*y/7.
3*y*(y - 2)*(y + 2)*(y + 5)/7
Factor 2*r**5 + 16*r**4 + 14*r**3.
2*r**3*(r + 1)*(r + 7)
Factor -c**2 - 5*c + 84.
-(c - 7)*(c + 12)
Find f, given that -2*f**5 + 26*f**4 + 90*f**3 - 450*f**2 = 0.
-5, 0, 3, 15
Let -s**2 - 15*s + 16 = 0. What is s?
-16, 1
Let 5*w**3 - 19530*w**2 + 25428060*w - 11035778040 = 0. Calculate w.
1302
Solve -2*b**3/15 - 74*b**2/15 - 68*b/5 = 0 for b.
-34, -3, 0
Factor -2*h**3/5 - 172*h**2/5 + 258*h - 1116/5.
-2*(h - 6)*(h - 1)*(h + 93)/5
Factor -38068326*f**4/7 + 5560542*f**3 - 861876*f**2/7 + 6424*f/7 - 16/7.
-2*(f - 1)*(267*f - 2)**3/7
Factor -c**3 + 43*c**2 - 446*c + 1160.
-(c - 29)*(c - 10)*(c - 4)
Suppose h**3/3 - 89*h**2/3 - 1090*h/3 - 1000/3 = 0. Calculate h.
-10, -1, 100
Find d such that -45*d**3 - 55*d**2 - 10*d = 0.
-1, -2/9, 0
Factor 5*h**5 - 24*h**4 + 35*h**3 - 12*h**2 - 4*h.
h*(h - 2)**2*(h - 1)*(5*h + 1)
Factor 4*b**4 + 236*b**3 - 992*b**2 + 1008*b.
4*b*(b - 2)**2*(b + 63)
Determine k so that 2*k**5 - 8*k**4 - 2*k**3 + 8*k**2 = 0.
-1, 0, 1, 4
Find a such that 4*a**5/7 + 16*a**4/7 - 44*a**3/7 - 104*a**2/7 + 256*a/7 - 128/7 = 0.
-4, 1, 2
Find n such that -5*n**5 + 130*n**4 - 1005*n**3 + 2780*n**2 - 880*n - 4800 = 0.
-1, 4, 15
Determine t so that -t**3 + t**2 + 4*t - 4 = 0.
-2, 1, 2
Factor -3*y**4 + 171*y**3 - 999*y**2 - 2523*y - 1350.
-3*(y - 50)*(y - 9)*(y + 1)**2
Factor 2*h**4/13 - 436*h**3/13 + 22874*h**2/13 + 96792*h/13 + 98568/13.
2*(h - 111)**2*(h + 2)**2/13
What is l in 3*l**2/8 - 3*l + 6 = 0?
4
Factor -4*j**4 + 20*j**3 + 56*j**2.
-4*j**2*(j - 7)*(j + 2)
What is n in n**2 + 13*n + 12 = 0?
-12, -1
Let -5*p**5 + 400*p**4 - 1550*p**3 + 2300*p**2 - 1525*p + 380 = 0. What is p?
1, 76
Factor i**3/2 - i**2 - 2*i + 4.
(i - 2)**2*(i + 2)/2
Solve -a**2 - 14*a - 49 = 0 for a.
-7
Suppose 4*m**5 - 16*m**4 + 16*m**3 + 8*m**2 - 20*m + 8 = 0. What is m?
-1, 1, 2
Factor -2*f**4/5 + 144*f**3/5 - 546*f**2 + 980*f.
-2*f*(f - 35)**2*(f - 2)/5
Factor g**3 - 10*g**2 + 19*g + 30.
(g - 6)*(g - 5)*(g + 1)
What is m in 5*m**2 - 620*m - 625 = 0?
-1, 125
Determine l so that 14*l**5/13 + 214*l**4/13 + 1166*l**3/13 + 202*l**2 + 2060*l/13 + 400/13 = 0.
-5, -4, -1, -2/7
Factor 2*d**3 + 8*d**2 - 674*d - 680.
2*(d - 17)*(d + 1)*(d + 20)
Find c such that -10*c**5 - 255*c**4 - 960*c**3 - 295*c**2 + 420*c = 0.
-21, -4, -1, 0, 1/2
Factor -3*j**4 - 3*j**3.
-3*j**3*(j + 1)
Factor -j**3/3 + 2258*j**2 + j/3 - 2258.
-(j - 6774)*(j - 1)*(j + 1)/3
Suppose 4*c**4 + 92*c**3 + 432*c**2 - 1728*c - 6912 = 0. What is c?
-12, -3, 4
Suppose -2*l**5/9 + 38*l**4/9 + 398*l**3/9 - 902*l**2/9 + 52*l = 0. What is l?
-9, 0, 1, 26
Factor -s**2 - 24*s + 81.
-(s - 3)*(s + 27)
Factor 5*b**3/4 + 65*b**2/4 - 115*b/2 + 40.
5*(b - 2)*(b - 1)*(b + 16)/4
Factor -a**4/2 - a**3/2 + 179*a**2/8 + 45*a/4 - 2025/8.
-(a + 5)**2*(2*a - 9)**2/8
Suppose -15*z**3 - 342*z**2 - 261*z + 66 = 0. Calculate z.
-22, -1, 1/5
Find q such that 4*q**3/3 - 103*q**2/3 + 130*q + 1275 = 0.
-17/4, 15
Factor -3*g**4 - 3*g**3 + 3*g**2 + 3*g.
-3*g*(g - 1)*(g + 1)**2
Suppose j**4/3 + j**3 - 13*j**2 - 83*j/3 - 14 = 0. What is j?
-7, -1, 6
Factor 4*z**3 + 1368*z**2 + 116964*z.
4*z*(z + 171)**2
Let 20*h**2 + 565*h + 140 = 0. What is h?
-28, -1/4
Factor -b**3 + 61*b**2 + 4*b - 244.
-(b - 61)*(b - 2)*(b + 2)
Solve -335405*i**2 - 2590*i - 5 = 0.
-1/259
Factor -4*s**2/5 + 52*s + 536/5.
-4*(s - 67)*(s + 2)/5
Factor -i**3/3 - 25*i**2 - 625*i - 15625/3.
-(i + 25)**3/3
Factor -x**3/2 + 327*x**2/8 - 121*x/4 - 81/8.
-(x - 81)*(x - 1)*(4*x + 1)/8
Factor -2*f**2/11 - 4*f/11 + 6/11.
-2*(f - 1)*(f + 3)/11
Determine o, given that -82*o**5/13 + 242*o**4/13 - 70*o**3/13 - 250*o**2/13 + 152*o/13 + 8/13 = 0.
-1, -2/41, 1, 2
Let 7*x**3/11 - 29*x**2/11 + 4*x/11 = 0. What is x?
0, 1/7, 4
Solve 4*v**2 - 408*v + 10404 = 0 for v.
51
Solve 2*x**4/5 + 6*x**3 + 76*x**2/5 + 48*x/5 = 0.
-12, -2, -1, 0
Factor -n**2/9 + 41*n/9 - 38/3.
-(n - 38)*(n - 3)/9
Suppose 14*w**5/3 - 270*w**4 + 13156*w**3/3 - 13732*w**2 + 8154*w + 1458 = 0. What is w?
-1/7, 1, 3, 27
Suppose -15*d**3 - 114*d**2 + 48*d = 0. What is d?
-8, 0, 2/5
Solve 2*d**2/13 + 10*d/13 - 12/13 = 0.
-6, 1
Factor y**3/3 + 11*y**2 - 23*y + 35/3.
(y - 1)**2*(y + 35)/3
Find y, given that -2*y**3/13 - 14*y**2/13 + 50*y/13 + 350/13 = 0.
-7, -5, 5
Factor -4*x**2 + 112*x - 108.
-4*(x - 27)*(x - 1)
Factor -y**4/3 + y**3/3 + 31*y**2/3 - 61*y/3 + 10.
-(y - 5)*(y - 1)**2*(y + 6)/3
Let 100*n**4 + 12080*n**3 + 21516*n**2 + 11440*n + 1904 = 0. What is n?
-119, -1, -2/5
Find l such that -4*l**3/5 + 156*l**2/5 + 3376*l/5 - 7344/5 = 0.
-17, 2, 54
What is b in -3*b**3 + 615*b**2 + 1266*b - 4968 = 0?
-4, 2, 207
Factor l**5/4 + 9*l**4/4 + 9*l**3/4 - 49*l**2/4 + 15*l/2.
l*(l - 1)**2*(l + 5)*(l + 6)/4
Let -3*m**2 + 369*m = 0. Calculate m.
0, 123
Solve w**4/5 - 9*w**3/5 + 4*w**2 = 0 for w.
0, 4, 5
Let -2*r**3/15 + 4*r**2/3 - 64*r/15 + 64/15 = 0. Calculate r.
2, 4
Determine t, given that 3*t**3 + 96*t**2 + 747*t + 1134 = 0.
-21, -9, -2
Factor -5*f**4 + 210*f**3 - 1745*f**2 - 9660*f - 10580.
-5*(f - 23)**2*(f + 2)**2
Suppose -u**2/9 - 185*u + 1666/9 = 0. What is u?
-1666, 1
Solve 3584*l**3/5 + 8896*l**2/5 - 3714*l/5 + 72 = 0.
-20/7, 3/16
What is p in -1350*p**2 - 60*p - 2/3 = 0?
-1/45
Factor -5*b**5 + 20*b**4 - 30*b**3 + 20*b**2 - 5*b.
-5*b*(b - 1)**4
Factor 2*q**4/9 + 14*q**3/9 + 34*q**2/9 + 34*q/9 + 4/3.
2*(q + 1)**2*(q + 2)*(q + 3)/9
Factor 5*d**3 - 110*d**2 + 640*d - 1120.
5*(d - 14)*(d - 4)**2
Factor -5*n**3/2 - 125*n**2/2 - 115*n.
-5*n*(n + 2)*(n + 23)/2
Determine p, given that -5*p**2 + 10*p + 40 = 0.
-2, 4
Let 3*p**2 + 12*p - 15 = 0. Calculate p.
-5, 1
Factor 3*c**2/5 - 732*c/5 + 44652/5.
3*(c - 122)**2/5
Factor -4*a**3/5 + 13*a**2/5 + 13*a/5 - 4/5.
-(a - 4)*(a + 1)*(4*a - 1)/5
Determine y so that -3*y**2 + 48*y + 1995 = 0.
-19, 35
Factor 27*u**4 - 60*u**3 - 69*u**2 + 18*u.
3*u*(u - 3)*(u + 1)*(9*u - 2)
Factor -4*t**3 - 24*t**2 - 36*t.
-4*t*(t + 3)**2
Let -5*p**5 - 10*p**4 + 30*p**3 + 100*p**2 + 95*p + 30 = 0. Calculate p.
-2, -1, 3
Factor y**2/8 - 25*y/8 + 17.
(y - 17)*(y - 8)/8
Factor 2*h**2 + 82*h - 264.
2*(h - 3)*(h + 44)
Let -2*a**4/13 + 10*a**3/13 - 10*a**2/13 - 10*a/13 + 12/13 = 0. Calculate a.
-1, 1, 2, 3
Let -2*j**2/5 - 34*j/5 + 44 = 0. What is j?
-22, 5
What is h in -363*h**5 + 2607*h**4 - 5481*h**3 + 1269*h**2 + 5832*h - 3888 = 0?
-1, 12/11, 3
Find c, given that -c**2/2 - 445*c - 1772 = 0.
-886, -4
Factor 2*r**3 + 14*r**2 - 308*r - 320.
2*(r - 10)*(r + 1)*(r + 16)
Factor -5*d**4 + 195*d**3 + 205*d**2 - 195*d - 200.
-5*(d - 40)*(d - 1)*(d + 1)**2
Factor s**3/5 + 171*s**2 + 183183*s/5 + 182329/5.
(s + 1)*(s + 427)**2/5
Find q, given that 54*q**5/13 - 4752*q**4/13 + 104526*q**3/13 + 1580*q**2/13 - 34496*q/13 - 7744/13 = 0.
-1/3, 2/3, 44
Determine s so that s**4/3 + 4*s**3 - 14*s**2/3 - 4*s + 13/3 = 0.
-13, -1, 1
What is c in -2*c**4/19 - 2*c**3/19 + 18*c**2/19 - 22*c/19 + 8/19 = 0?
-4, 1
What is y in 2*y**2/5 + 8*y/5 - 442/5 = 0?
-17, 13
Suppose 4*l**5 + 166*l**4 + 834*l**3 + 1544*l**2 + 1160*l + 288 = 0. What is l?
-36, -2, -1, -1/2
Find v, given that -8*v**2 - 254*v + 64 = 0.
-32, 1/4
What is b in -b**3/7 - 5*b**2 - 49*b - 147 = 0?
-21, -7
Factor 3*r**3 + 15*r**2 + 21*r + 9.
3*(r + 1)**2*(r + 3)
What is o in -o**4 + 10532*o**3 - 41596134*o**2 + 73015080548*o - 48062176770721 = 0?
2633
Factor 3*m**2 + 594*m + 29403.
3*(m + 99)**2
Suppose -5*n**4/3 + 5*n**3/3 = 0. What is n?
0, 1
Factor 4*h**4 - 40*h**3 - 48*h**2 + 40*h + 44.
4*(h - 11)*(h - 1)*(h + 1)**2
Solve -4*g**2/5 + 7000*g - 15312500 = 0 for g.
4375
Let -81*f**5 - 1431*f**4 - 9072*f**3 - 22344*f**2 - 5488*f + 38416 = 0. Calculate f.
-14/3, 1
What is p in 3*p**4 - 60*p**3 - 369*p**2 - 174*p + 600 = 0?
-4, -2, 1, 25
Determine a so that 5*a**4/2 - 45*a**3/4 - 40*a**2 + 345*a/4 + 225/2 = 0.
-3, -1, 5/2, 6
Factor n**3/3 - 73*n**2 + 5329*n - 389017/3.
(n - 73)**3/3
Solve -3*f**2/2 - 21*f/2 - 18 = 0 for f.
-4, -3
Factor -16*t**4 - 344*t**3 - 2089*t**2 - 2580*t - 900.
-(t + 10)**2*(4*t + 3)**2
Factor -363*z**2/7 - 1518*z/7 - 1587/7.
-3*