5*(g + 99)*(6*g + 1)
Suppose 3*i**3 + 135*i**2 + 816*i + 684 = 0. Calculate i.
-38, -6, -1
Factor -2*u**5/19 + 8*u**4/19 - 10*u**3/19 + 4*u**2/19.
-2*u**2*(u - 2)*(u - 1)**2/19
Factor -8*h**2 + 673*h/4 - 21/4.
-(h - 21)*(32*h - 1)/4
Factor -a**5/7 + 205*a**4/7 - 10810*a**3/7 + 31210*a**2/7 - 30805*a/7 + 10201/7.
-(a - 101)**2*(a - 1)**3/7
Solve -12*j**5/7 + 8*j**4/7 + 24*j**3/7 - 16*j**2/7 - 12*j/7 + 8/7 = 0.
-1, 2/3, 1
Determine d so that -3*d**2 + 5748*d - 2753292 = 0.
958
Suppose 3*y**5 - 291*y**4 + 8208*y**3 - 54384*y**2 + 46464*y = 0. What is y?
0, 1, 8, 44
Solve r**3/6 + 535*r**2/6 + 35644*r/3 - 35912/3 = 0.
-268, 1
Factor 3*h**2 - 213*h + 612.
3*(h - 68)*(h - 3)
What is d in -42*d**4/13 - 1136*d**3/13 - 7120*d**2/13 + 7616*d/13 - 1568/13 = 0?
-14, 2/7, 2/3
Suppose -3*p**3 - 129*p**2 - 1449*p - 1323 = 0. Calculate p.
-21, -1
Solve -h**5 - 49*h**4 + 24*h**3 + 1112*h**2 - 3088*h + 2352 = 0 for h.
-49, -6, 2
Solve 14*f**4 + 108*f**3 + 262*f**2 + 168*f - 72 = 0 for f.
-3, -2, 2/7
Factor -2*j**3/3 + 58*j**2 - 224*j + 664/3.
-2*(j - 83)*(j - 2)**2/3
Find t, given that -4*t**2 - 152*t - 868 = 0.
-31, -7
Factor m**2/3 - m - 10/3.
(m - 5)*(m + 2)/3
Suppose -g**3/4 - 21*g**2/4 - 135*g/4 - 243/4 = 0. What is g?
-9, -3
Factor d**2/7 + d/7 - 2/7.
(d - 1)*(d + 2)/7
Determine s so that -5*s**3 + 1635*s**2 - 136080*s + 393660 = 0.
3, 162
Factor 3*l**2/4 - 93*l/4 + 357/2.
3*(l - 17)*(l - 14)/4
Factor 5*i**3 + 125*i**2 + 670*i - 800.
5*(i - 1)*(i + 10)*(i + 16)
Solve 2*r**3 - 24*r**2 - 128*r = 0 for r.
-4, 0, 16
Determine c, given that -2*c**5/5 - 12*c**4/5 - 2*c**3 + 32*c**2/5 + 24*c/5 - 32/5 = 0.
-4, -2, 1
Let 14*o**4/5 - 78*o**3/5 + 152*o**2/5 - 24*o + 32/5 = 0. What is o?
4/7, 1, 2
Factor 2*x**2/21 - 10*x/21 - 4/7.
2*(x - 6)*(x + 1)/21
Factor -r**2/2 - r/2 + 10.
-(r - 4)*(r + 5)/2
Factor -4*u**3 - 156*u**2.
-4*u**2*(u + 39)
Determine p, given that -p**5 - 34*p**4 + 146*p**3 - 224*p**2 + 151*p - 38 = 0.
-38, 1
Find x, given that 5*x**4 - 155*x**3 + 1275*x**2 - 1125*x = 0.
0, 1, 15
Factor 3*s**2 - 58176*s + 282037248.
3*(s - 9696)**2
Determine s, given that -s**4 - 14*s**3 + 120*s**2 = 0.
-20, 0, 6
Factor -535*q**2 - 545*q - 10.
-5*(q + 1)*(107*q + 2)
Determine n, given that -4*n**3 - 72*n**2 + 156*n - 80 = 0.
-20, 1
Determine f, given that -2*f**2 + 12*f - 10 = 0.
1, 5
Suppose -10*d**2 - 276*d + 112 = 0. Calculate d.
-28, 2/5
Factor -5*g**2/4 + 785*g - 123245.
-5*(g - 314)**2/4
Determine j, given that 5*j**5 + 10*j**4 - 195*j**3 - 760*j**2 - 560*j = 0.
-4, -1, 0, 7
Factor -7*q**2/3 - 10*q/3 - 1.
-(q + 1)*(7*q + 3)/3
Let -3*t**2/7 - 3*t = 0. Calculate t.
-7, 0
Factor -5*z**4 - 175*z**3 - 645*z**2 - 785*z - 310.
-5*(z + 1)**2*(z + 2)*(z + 31)
Factor -2*k**4/7 + 4*k**3/7 + 6*k**2/7 - 8*k/7 - 8/7.
-2*(k - 2)**2*(k + 1)**2/7
Determine g, given that 18*g**3 - 309*g**2 + 738*g + 840 = 0.
-5/6, 4, 14
Factor 3*i**5 - 12*i**4 - 9*i**3 + 42*i**2 - 24*i.
3*i*(i - 4)*(i - 1)**2*(i + 2)
Find d, given that d**2/4 - 91*d/4 + 45/2 = 0.
1, 90
Solve 2*t**5/9 + 32*t**4/9 + 10*t**3/3 - 344*t**2/9 + 280*t/9 = 0 for t.
-14, -5, 0, 1, 2
Factor -5*s**2 - 1730*s - 149645.
-5*(s + 173)**2
Let 105*g**4 - 264*g**3 - 987*g**2 - 762*g - 144 = 0. Calculate g.
-1, -2/7, 24/5
Factor -5*b**3/4 + 5*b**2 + 5*b - 20.
-5*(b - 4)*(b - 2)*(b + 2)/4
Suppose -2*k**3/7 + 244*k**2 - 366360*k/7 + 725904/7 = 0. Calculate k.
2, 426
Factor 2*i**3/5 + 14*i**2 + 134*i/5 + 66/5.
2*(i + 1)**2*(i + 33)/5
Solve h**5/2 + 2*h**4 - 13*h**3/2 - 20*h**2 + 24*h = 0.
-4, 0, 1, 3
Factor 2*l**2 - 20920*l + 54705800.
2*(l - 5230)**2
Let i**4 + 40*i**3 + 568*i**2 + 3360*i + 7056 = 0. What is i?
-14, -6
Determine d, given that 2*d**4/13 - 24*d**3/13 + 96*d**2/13 - 128*d/13 = 0.
0, 4
Let 3*m**4/2 + 30*m**3 + 207*m**2/2 + 123*m + 48 = 0. Calculate m.
-16, -2, -1
Let -s**4/4 - 365*s**3/2 = 0. Calculate s.
-730, 0
What is r in -5*r**3/4 + 5*r**2/2 + 15*r/4 = 0?
-1, 0, 3
Factor 4*a**5/3 + 188*a**4/3 + 1228*a**3/3 - 7428*a**2 + 26208*a - 28224.
4*(a - 3)**3*(a + 28)**2/3
Factor 5*b**2 + 5*b.
5*b*(b + 1)
Determine y, given that 4*y**3/9 - 16576*y**2/9 - 16580*y/9 = 0.
-1, 0, 4145
Solve 461*u**4/4 + 231*u**3 + 465*u**2/4 + u/2 = 0 for u.
-1, -2/461, 0
Solve 4*r**5 - 100*r**4/3 + 239*r**3/3 - 68*r**2 + 15*r = 0 for r.
0, 1/3, 3/2, 5
Factor -2*n**3/3 + 32*n + 256/3.
-2*(n - 8)*(n + 4)**2/3
Factor -2*b**2/7 + 6164*b/7 - 4749362/7.
-2*(b - 1541)**2/7
Let 16*n**4 - 1364*n**3 + 29908*n**2 - 35616*n + 7056 = 0. What is n?
1/4, 1, 42
Factor 4*p**4 + 4*p**3 - 24*p**2 - 16*p + 32.
4*(p - 2)*(p - 1)*(p + 2)**2
Factor v**4 - 2*v**2 + 1.
(v - 1)**2*(v + 1)**2
Solve 5*d**2 - 950*d + 45125 = 0.
95
Factor -2*y**3/3 + 350*y**2/3 - 5162*y + 5046.
-2*(y - 87)**2*(y - 1)/3
Factor 2*k**3 + 144*k**2 + 3456*k + 27648.
2*(k + 24)**3
Factor 5*g**3/2 - 215*g**2 + 4400*g + 9680.
5*(g - 44)**2*(g + 2)/2
Let -51*r**4 - 6*r**3 + 153*r**2 - 84*r - 12 = 0. What is r?
-2, -2/17, 1
Factor 28*s**2 + 1644*s - 472.
4*(s + 59)*(7*s - 2)
Factor -2*u**2 + 66*u + 68.
-2*(u - 34)*(u + 1)
Find w such that 2*w**2 + 47*w + 23 = 0.
-23, -1/2
Factor 8*a**2 - 1812*a + 904.
4*(a - 226)*(2*a - 1)
Factor 21*c**2/5 + 13*c/5 + 2/5.
(3*c + 1)*(7*c + 2)/5
Factor 21*p**2/2 + 326*p - 94.
(3*p + 94)*(7*p - 2)/2
Find g, given that -3*g**4/5 - 138*g**3/5 - 387*g**2/5 + 12*g/5 + 516/5 = 0.
-43, -2, 1
Factor 16*n**5 - 260*n**4 + 1504*n**3 - 3560*n**2 + 2800*n - 500.
4*(n - 5)**3*(n - 1)*(4*n - 1)
Factor -5*s**3 - 585*s**2 - 16815*s + 17405.
-5*(s - 1)*(s + 59)**2
Factor 8*k**2 + 150*k + 238.
2*(k + 17)*(4*k + 7)
Let 33*g**5 - 1854*g**4 - 9465*g**3 - 14190*g**2 - 5148*g + 1464 = 0. Calculate g.
-2, -1, 2/11, 61
Determine l, given that 15*l**2 - 81*l + 30 = 0.
2/5, 5
Factor -45*n**3 - 1520*n**2 + 3580*n - 720.
-5*(n - 2)*(n + 36)*(9*n - 2)
Solve -2*a**2/13 + 34*a/13 - 60/13 = 0.
2, 15
Suppose 4*h**4/9 + 2*h**3 + 8*h**2/3 + 10*h/9 = 0. What is h?
-5/2, -1, 0
Find k such that 5*k**5 + 25*k**4 - 95*k**3 - 265*k**2 + 690*k - 360 = 0.
-6, -4, 1, 3
Factor -6*g**3/5 - 76*g**2/5 + 26*g/5.
-2*g*(g + 13)*(3*g - 1)/5
Solve 2*d**3/11 - 598*d**2/11 + 4688*d/11 - 9312/11 = 0 for d.
4, 291
Factor 38*q**2 + 30*q - 8.
2*(q + 1)*(19*q - 4)
Factor 2*g**4 - 24*g**3 - 306*g**2 - 280*g.
2*g*(g - 20)*(g + 1)*(g + 7)
Factor -5*o**4 - 315*o**3 - 310*o**2.
-5*o**2*(o + 1)*(o + 62)
Factor -4*x**3/5 - 44*x**2/5 - 8*x.
-4*x*(x + 1)*(x + 10)/5
Suppose b**5/8 - 11*b**4/8 + 47*b**3/8 - 97*b**2/8 + 12*b - 9/2 = 0. Calculate b.
1, 2, 3
Factor -2*m**2 + 872*m - 95048.
-2*(m - 218)**2
Factor -2*m**3/11 + 366*m**2/11 - 66*m + 362/11.
-2*(m - 181)*(m - 1)**2/11
Factor -30*u**3 + 62*u**2 - 40*u + 8.
-2*(u - 1)*(3*u - 2)*(5*u - 2)
Factor 5*d**3/3 - 1070*d**2/3 - 11075*d/3 - 28000/3.
5*(d - 224)*(d + 5)**2/3
Solve 7*k**3/3 + 160*k**2 + 247*k + 268/3 = 0.
-67, -1, -4/7
Let l**3/2 + 51*l**2/4 - 69*l/2 + 14 = 0. Calculate l.
-28, 1/2, 2
Factor -2*f**3 - 364*f**2 - 720*f.
-2*f*(f + 2)*(f + 180)
Find r such that -8*r**4 + 150*r**3 - 554*r**2 + 300*r + 112 = 0.
-1/4, 1, 4, 14
Let -5*p**3/2 + 70*p**2 - 1105*p/2 + 845 = 0. Calculate p.
2, 13
Factor s**5/4 + 523*s**4/2 + 68643*s**3 + 136242*s**2.
s**2*(s + 2)*(s + 522)**2/4
Factor -2*o**3 + 1590*o**2.
-2*o**2*(o - 795)
Solve -2*r**4/5 - 22*r**3/5 + 24*r**2/5 = 0 for r.
-12, 0, 1
What is y in 3*y**5 - 387*y**4 - 783*y**3 - 393*y**2 = 0?
-1, 0, 131
Solve 20*c**3 - 2312*c**2 + 1380*c = 0.
0, 3/5, 115
What is v in 2*v**2/9 - 44*v/9 + 38/3 = 0?
3, 19
Solve 3*u**4/5 - 21*u**3/5 + 42*u**2/5 - 24*u/5 = 0 for u.
0, 1, 2, 4
Let 4*h**4/3 - 7420*h**3/3 + 1148244*h**2 - 1145772*h = 0. Calculate h.
0, 1, 927
What is o in 35*o**3 + 1445*o**2 - 4210*o - 1320 = 0?
-44, -2/7, 3
Suppose d**2/2 - 11*d/2 + 14 = 0. Calculate d.
4, 7
Suppose 2*x**4/7 - 38*x**3/7 - 6*x**2 + 838*x/7 - 760/7 = 0. What is x?
-5, 1, 4, 19
Factor -a**3 + 5880*a**2 - 8643600*a.
-a*(a - 2940)**2
Suppose -5*c**2 + 10230*c - 20440 = 0. What is c?
2, 2044
What is i in 2*i**3/3 + 72*i**2 + 1342*i + 20812/3 = 0?
-86, -11
Let g**5/11 - 9*g**4/11 + 29*g**3/11 - 39*g**2/11 + 18*g/11 = 0. What is g?
0, 1, 2, 3
Determine o, given that -2*o**3/5 - 4*o**2/5 + 26*o/5 - 4 = 0.
-5, 1, 2
Determine m, given that -m**4/4 + 7*m**3 - 143*m**2/2 + 315*m - 2025/4 = 0.
5, 9
Solve m**3/2 - 35*m**2/6 + 26*m/3 - 10/3 = 0.
2/3, 1, 10
Factor -r**3/6 + r**2/