.
-721
Solve -b**4 - 32*b**3 + 39*b**2 + 198*b = 0 for b.
-33, -2, 0, 3
Determine h, given that h**4 - 25*h**3 + 23*h**2 + 25*h - 24 = 0.
-1, 1, 24
Factor -3*x**2 - 4278*x + 8568.
-3*(x - 2)*(x + 1428)
Factor -2*l**5 - 22*l**4 - 86*l**3 - 146*l**2 - 112*l - 32.
-2*(l + 1)**3*(l + 4)**2
Solve 2*f**5/11 - 16*f**4/11 - 146*f**3/11 - 296*f**2/11 - 168*f/11 = 0 for f.
-3, -2, -1, 0, 14
Factor 4*a**3 - 27120*a**2 + 61291200*a - 46172704000.
4*(a - 2260)**3
Factor 2*h**4/3 - 122*h**3.
2*h**3*(h - 183)/3
Solve 2*u**5/11 - 6*u**4/11 - 8*u**3/11 = 0 for u.
-1, 0, 4
Determine r, given that 6*r**4/11 + 1802*r**3/11 - 4834*r**2/11 + 4238*r/11 - 1212/11 = 0.
-303, 2/3, 1
Find w such that -7*w**2/6 - 839*w/3 + 80 = 0.
-240, 2/7
Factor 11*b**2 + 14*b - 16.
(b + 2)*(11*b - 8)
Factor -d**3/2 - 2678*d**2 - 10709*d/2 - 2677.
-(d + 1)**2*(d + 5354)/2
What is g in g**5/4 - g**4 - 13*g**3/4 + 10*g**2 + 12*g = 0?
-3, -1, 0, 4
Find s, given that -2*s**3/11 + 316*s**2/11 - 12160*s/11 - 25600/11 = 0.
-2, 80
Let -4*t**3 + 23*t**2 - 14*t - 5 = 0. What is t?
-1/4, 1, 5
Factor 3*y**3/8 - 9*y**2/8 + 3*y/4.
3*y*(y - 2)*(y - 1)/8
Solve -p**5/2 + 17*p**4/2 - 79*p**3/2 + 47*p**2/2 + 40*p - 32 = 0.
-1, 1, 8
Factor 2*x**3/11 - 8*x**2/11 - 50*x/11 + 200/11.
2*(x - 5)*(x - 4)*(x + 5)/11
Determine a, given that -4*a**4 + 296*a**3 - 1136*a**2 + 1120*a = 0.
0, 2, 70
Let -2*j**3 + 24*j**2 + 8*j - 96 = 0. Calculate j.
-2, 2, 12
Factor k**4/5 - 11*k**3/5 - 11*k**2 - 73*k/5 - 6.
(k - 15)*(k + 1)**2*(k + 2)/5
Factor -4*n**2 + 16*n.
-4*n*(n - 4)
Solve -12*g**4/7 - 76*g**3/7 - 136*g**2/7 - 16*g/7 + 96/7 = 0 for g.
-3, -2, 2/3
Determine z so that z**5/7 + 5*z**4/7 + z**3 - z**2/7 - 8*z/7 - 4/7 = 0.
-2, -1, 1
Suppose -n**5/2 - n**4/2 + 3*n**3/2 + 5*n**2/2 + n = 0. Calculate n.
-1, 0, 2
Suppose -3*o**2 - 678*o - 2664 = 0. Calculate o.
-222, -4
Factor -4*z**2 - 448*z - 12544.
-4*(z + 56)**2
Factor 3*k**3/7 + 24*k**2/7 - 99*k/7.
3*k*(k - 3)*(k + 11)/7
Factor -4*j**3 + 28*j**2 - 28*j - 60.
-4*(j - 5)*(j - 3)*(j + 1)
Find p, given that -2*p**2/3 - 14*p/15 - 4/15 = 0.
-1, -2/5
Factor -12*f**3 - 548*f**2 - 872*f + 352.
-4*(f + 2)*(f + 44)*(3*f - 1)
Factor 4*f**4 + 56*f**3 + 256*f**2 + 456*f + 252.
4*(f + 1)*(f + 3)**2*(f + 7)
What is g in -g**3/11 + g/11 = 0?
-1, 0, 1
Factor 20*y**2 + 13252*y - 5304.
4*(y + 663)*(5*y - 2)
What is i in -2*i**4 - 620*i**3 + 1872*i**2 - 1876*i + 626 = 0?
-313, 1
Factor -4*h**2/7 + 44*h/7.
-4*h*(h - 11)/7
Solve -9*d**5 - 30*d**4 - 12*d**3 + 24*d**2 = 0.
-2, 0, 2/3
Factor 7*w**5/3 + 4*w**4/3 - w**3.
w**3*(w + 1)*(7*w - 3)/3
Let -28*g**2 + 5732*g + 1640 = 0. What is g?
-2/7, 205
Factor 3*v**2/2 - 9*v/2 - 60.
3*(v - 8)*(v + 5)/2
Determine p, given that -26*p**4/9 - 10*p**3/3 + 22*p**2/9 + 10*p/3 + 4/9 = 0.
-1, -2/13, 1
Suppose -3*f**5/4 - 61*f**4/4 - 63*f**3/2 + f**2 + 18*f = 0. Calculate f.
-18, -2, -1, 0, 2/3
Determine i so that -3*i**3 + 87*i**2 - 585*i - 675 = 0.
-1, 15
Determine m, given that 2*m**2 - 104*m/7 - 64/7 = 0.
-4/7, 8
Factor -3*d**3 - 453*d**2 - 17325*d - 16875.
-3*(d + 1)*(d + 75)**2
Factor 3*t**2 + 384*t - 387.
3*(t - 1)*(t + 129)
Factor -4*n**5 + 8*n**3 - 4*n.
-4*n*(n - 1)**2*(n + 1)**2
Suppose -5*z**4 + 25*z**3 + 230*z**2 - 760*z - 960 = 0. Calculate z.
-6, -1, 4, 8
Determine t so that 2*t**5/3 - 58*t**4/3 - 64*t**3/3 + 40*t**2 = 0.
-2, 0, 1, 30
Let -m**5 + 125*m**4/3 + 57*m**3 + 43*m**2/3 = 0. What is m?
-1, -1/3, 0, 43
Factor 2*d**3/9 - 146*d**2/3 - 400*d - 7264/9.
2*(d - 227)*(d + 4)**2/9
Determine w so that w**3/4 + 17*w**2/4 + 7*w/2 - 8 = 0.
-16, -2, 1
Find a such that 4*a**4 + 12*a**3 - 48*a**2 - 208*a - 192 = 0.
-3, -2, 4
Factor -5*k**3 + 2250*k**2 + 4515*k + 2260.
-5*(k - 452)*(k + 1)**2
Solve 3*y**2/7 + 45*y/7 - 54 = 0.
-21, 6
Suppose -5*c**4 - 10*c**3 + 35*c**2 + 40*c - 60 = 0. What is c?
-3, -2, 1, 2
Solve 2*c**5/9 + 10*c**4/3 + 14*c**3 + 170*c**2/9 + 8*c = 0 for c.
-9, -4, -1, 0
Factor 7*l**2/3 - 80*l + 68/3.
(l - 34)*(7*l - 2)/3
Factor -3*w**4/4 - 627*w**3 - 260829*w**2/2 + 262713*w - 526683/4.
-3*(w - 1)**2*(w + 419)**2/4
Suppose 3*m**5/7 - 9*m**4/7 - 3*m**3/7 + 3*m**2 - 12/7 = 0. What is m?
-1, 1, 2
Let -128*h**3/3 - 496*h**2 + 381*h/2 - 18 = 0. Calculate h.
-12, 3/16
Let -3*d**5 + 12*d**4 + 273*d**3 + 294*d**2 - 1440*d + 864 = 0. What is d?
-6, -4, 1, 12
What is u in -2*u**3/11 + 80*u**2/11 - 1050*u/11 + 4500/11 = 0?
10, 15
Factor 2*a**2 + 118*a - 120.
2*(a - 1)*(a + 60)
Determine c, given that -2*c**4 - 34*c**3 - 156*c**2 - 128*c + 320 = 0.
-10, -4, 1
Factor -5*v**5 - 325*v**4.
-5*v**4*(v + 65)
Factor -s**3/5 - 5019*s**2/5 - 8396787*s/5 - 4682608217/5.
-(s + 1673)**3/5
Suppose -3*z**3 - 9*z**2 + 108*z - 96 = 0. Calculate z.
-8, 1, 4
Factor -2*x**3/9 - 442*x**2/9 - 8066*x/3 + 2738.
-2*(x - 1)*(x + 111)**2/9
Determine p, given that -15*p**3 + 2343*p**2 - 91728*p + 18252 = 0.
1/5, 78
Find u such that u**5/6 - 17*u**4/6 + 44*u**3/3 - 12*u**2 - 72*u + 72 = 0.
-2, 1, 6
Factor 3*u**2/5 - 33*u/5 - 306/5.
3*(u - 17)*(u + 6)/5
Suppose -4*o**4/7 + 20*o**3/7 - 36*o**2/7 + 4*o - 8/7 = 0. What is o?
1, 2
Factor 2*u**5/21 + 338*u**4/3 + 696188*u**3/21 - 2102780*u**2/21 + 2107522*u/21 - 703298/21.
2*(u - 1)**3*(u + 593)**2/21
Let 3*z**3/2 - 14271*z**2 + 67887147*z/2 = 0. What is z?
0, 4757
Factor -3*g**3/7 + 33*g**2/7 + 36*g/7.
-3*g*(g - 12)*(g + 1)/7
Determine p so that -3*p**5/4 - 27*p**4/2 - 183*p**3/4 + 144*p**2 + 465*p - 900 = 0.
-12, -5, 2
Suppose -x**3/5 + 49*x**2/5 - 667*x/5 + 1587/5 = 0. What is x?
3, 23
Find n, given that 14*n**5/3 + 32*n**4/3 - 2480*n**3 + 12628*n**2/3 - 3134*n/3 - 700 = 0.
-25, -2/7, 1, 21
Let d**2 - 13*d + 12 = 0. Calculate d.
1, 12
Find t such that -2*t**4/5 - 24*t**3/5 - 86*t**2/5 - 24*t - 56/5 = 0.
-7, -2, -1
Suppose -3*r**3/7 + 4*r**2/7 + 148*r/7 + 96/7 = 0. Calculate r.
-6, -2/3, 8
Suppose -3*g**4/4 - 9*g**3/4 + 93*g**2/4 + 9*g/4 - 189/2 = 0. Calculate g.
-7, -2, 3
Factor -5*b**5 + 15*b**4 - 20*b**2.
-5*b**2*(b - 2)**2*(b + 1)
Find z such that -z**2/2 - 27*z/2 - 46 = 0.
-23, -4
Suppose -y**3/3 - 7*y**2/3 - 4*y = 0. What is y?
-4, -3, 0
Solve c**5 - 11*c**3 + 6*c**2 + 28*c - 24 = 0 for c.
-3, -2, 1, 2
Suppose 173*q**2 - 693*q + 4 = 0. Calculate q.
1/173, 4
Factor 3*r**4/8 + 3*r**3 + 9*r**2/4 - 3*r - 21/8.
3*(r - 1)*(r + 1)**2*(r + 7)/8
Solve -5*z**2 - 100*z + 105 = 0.
-21, 1
Factor 3*k**3/7 + 90*k**2/7 + 51*k/7 - 1044/7.
3*(k - 3)*(k + 4)*(k + 29)/7
Find l such that l**3/4 + 1887*l**2/2 + 1186923*l + 497716378 = 0.
-1258
Factor o**2/6 + 44*o/3 - 89/6.
(o - 1)*(o + 89)/6
Determine i so that -5*i**4 + 45*i**3 + 700*i**2 - 2340*i + 1600 = 0.
-10, 1, 2, 16
Let -4*i**3/3 - 142*i**2/3 - 440*i/3 + 256/3 = 0. What is i?
-32, -4, 1/2
Factor c**3 - 38*c**2 - 41*c + 78.
(c - 39)*(c - 1)*(c + 2)
Let 4*v**3/3 + 12*v**2 = 0. What is v?
-9, 0
Let -3*z**5 + 12*z**4 + 6*z**3 - 24*z**2 - 3*z + 12 = 0. What is z?
-1, 1, 4
Factor -2*d**3/5 - 172*d**2/5 - 34*d.
-2*d*(d + 1)*(d + 85)/5
What is v in -2*v**2/15 + 14*v/15 - 8/5 = 0?
3, 4
Factor 5*y**2 + 115*y.
5*y*(y + 23)
Factor 4*w**2 + 108*w - 112.
4*(w - 1)*(w + 28)
Factor 266*r**2 + 782*r/3 - 16/3.
2*(r + 1)*(399*r - 8)/3
Find h such that -8*h**4/11 + 34*h**3/11 + 160*h**2/11 - 42*h/11 = 0.
-3, 0, 1/4, 7
Determine a so that a**5/5 + 23*a**4/5 + 81*a**3/5 + 97*a**2/5 + 38*a/5 = 0.
-19, -2, -1, 0
Solve -6*d**4 + 28*d**3 + 142*d**2/3 - 560*d/3 - 800/3 = 0.
-5/3, 4
Find b, given that 3*b**4 - 99*b**3 + 513*b**2 - 741*b + 324 = 0.
1, 4, 27
What is s in -2*s**3/9 - 4628*s**2/3 - 10709192*s/3 - 24781070288/9 = 0?
-2314
Factor 4*y**3 - 48*y - 64.
4*(y - 4)*(y + 2)**2
Determine n so that 2*n**5/11 - 12*n**4/11 + 2*n**3 - 4*n**2/11 - 24*n/11 + 16/11 = 0.
-1, 1, 2
Determine y, given that 5*y**2 + 280*y - 1525 = 0.
-61, 5
Determine b so that 5408*b**2/7 + 9360*b/7 + 4050/7 = 0.
-45/52
Let -4*w**2/7 + 1068*w = 0. Calculate w.
0, 1869
Find a such that 42*a**3 + 417*a**2/5 - 6*a/5 = 0.
-2, 0, 1/70
Solve 2*j**2/11 - 64*j/11 = 0.
0, 32
What is d in 2*d**3 - 72*d**2 + 570*d + 1444 = 0?
-2, 19
Determine x, given that -7*x**2/4 + 2768*x + 791 = 0.
-2/7, 1582
Let 35*f**5/4 - 15*f**4/4 - 105*f**3/4 + 115*f**2/4 - 15*f/2 = 0. Calculate f.
-2, 0, 3/7, 1
Find z such that -2*z**3 + 72*z**2 = 0.
0, 36
Factor -2*z**4 + 178*z**3 + 734*z**2 + 926*z + 372.
-2*(z - 93)*(z + 1)**2*(z + 2)
Let 27*u**5 - 318*u**4 + 225*