*4/9 + 128*z**3/9 - 10240*z**2/9 - 32768*z/9 + 524288/9.
2*(z - 8)**2*(z + 16)**3/9
Let m**5/4 - 9*m**4/2 - m**3/4 + 9*m**2/2 = 0. Calculate m.
-1, 0, 1, 18
Factor f**3/2 - 9*f**2/8 - 69*f/4 + 35/8.
(f - 7)*(f + 5)*(4*f - 1)/8
Factor n**4/3 + 47*n**3/3 + 325*n**2/3 + 171*n + 78.
(n + 1)**2*(n + 6)*(n + 39)/3
Factor -5*h**2 + 85*h.
-5*h*(h - 17)
Determine c, given that c**5 - 77*c**4 + 298*c**3 - 442*c**2 + 293*c - 73 = 0.
1, 73
Solve f**3/10 + 13*f**2/2 + 115*f/2 + 275/2 = 0 for f.
-55, -5
Factor 6*t**3/11 + 124*t**2/11 + 80*t/11.
2*t*(t + 20)*(3*t + 2)/11
Determine t so that 121*t**3/5 + 244*t**2/5 + 25*t + 2/5 = 0.
-1, -2/121
Factor -w**4/4 - 13*w**3/2 - 15*w**2 + 117*w/2 + 621/4.
-(w - 3)*(w + 3)**2*(w + 23)/4
Factor -5*p**3 + 340*p**2 - 325*p - 670.
-5*(p - 67)*(p - 2)*(p + 1)
Find a such that -2*a**3 - 36*a**2 - 58*a + 96 = 0.
-16, -3, 1
Factor 2*c**3/3 + 38*c**2/3 + 100*c/3 + 64/3.
2*(c + 1)*(c + 2)*(c + 16)/3
Solve -5*f**5/4 - 165*f**4/4 - 825*f**3/4 + 2165*f**2/4 - 585*f/2 = 0 for f.
-26, -9, 0, 1
Factor -4*w**4 + 56*w**3 + 1628*w**2 - 12768*w - 207936.
-4*(w - 19)**2*(w + 12)**2
Factor 2*p**2 - 2452*p + 751538.
2*(p - 613)**2
Solve 4*d**3/3 + 24*d**2 - 2560*d + 92800/3 = 0.
-58, 20
Factor a**3/2 + 14*a**2 - 29*a/2.
a*(a - 1)*(a + 29)/2
Solve 9*k**5/5 + 18*k**4 + 302*k**3/5 + 88*k**2 + 289*k/5 + 14 = 0.
-5, -7/3, -1, -2/3
Factor -2*v**3/13 + 772*v**2/13 - 1538*v/13 + 768/13.
-2*(v - 384)*(v - 1)**2/13
Let 16*y**4 - 12*y**2 - 4*y = 0. Calculate y.
-1/2, 0, 1
Suppose -5*j**5 + 50*j**4 - 105*j**3 - 200*j**2 + 500*j = 0. Calculate j.
-2, 0, 2, 5
Factor -2*z**3/17 - 6*z**2/17 - 4*z/17.
-2*z*(z + 1)*(z + 2)/17
Let 12*f**5/5 + 16*f**4 + 28*f**3 + 8*f**2 - 32*f/5 = 0. What is f?
-4, -2, -1, 0, 1/3
Factor -5*z**2 + 1145*z - 2270.
-5*(z - 227)*(z - 2)
Suppose 3*r**2/4 + 603*r + 2409/4 = 0. What is r?
-803, -1
Factor -5*o**3 - 60*o**2 + 345*o + 400.
-5*(o - 5)*(o + 1)*(o + 16)
Factor -h**4/5 + 118*h**3/5 - 3597*h**2/5 + 6844*h/5 - 3364/5.
-(h - 58)**2*(h - 1)**2/5
Suppose 12*n**5/5 + 4*n**4 - 8*n**3 - 16*n**2 - 32*n/5 = 0. Calculate n.
-2, -1, -2/3, 0, 2
Let 3*x**3 + 18*x**2 - 72*x - 192 = 0. What is x?
-8, -2, 4
Factor u**3/5 - 92*u**2 - 461*u/5.
u*(u - 461)*(u + 1)/5
What is t in 2*t**5/3 + 2*t**4 - 34*t**3/3 + 6*t**2 + 32*t/3 - 8 = 0?
-6, -1, 1, 2
Determine f, given that 21*f**5/4 + 267*f**4/4 + 96*f**3 - 33*f**2 = 0.
-11, -2, 0, 2/7
Factor -2*z**3/9 + 52*z**2/9 - 46*z/9 - 100/9.
-2*(z - 25)*(z - 2)*(z + 1)/9
Factor -3*t**4/7 + 30*t**3/7 - 48*t**2/7.
-3*t**2*(t - 8)*(t - 2)/7
Let -2*k**5 - 78*k**4 - 220*k**3 - 144*k**2 = 0. What is k?
-36, -2, -1, 0
Factor -5*t**2 + 265*t - 750.
-5*(t - 50)*(t - 3)
Solve -q**4 - 83*q**3 - 77*q**2 + 407*q - 246 = 0 for q.
-82, -3, 1
Factor c**4/3 - 40*c**3 + 1776*c**2 - 34560*c + 248832.
(c - 36)**2*(c - 24)**2/3
Find d, given that -2*d**5/5 - 24*d**4/5 - 104*d**3/5 - 204*d**2/5 - 182*d/5 - 12 = 0.
-5, -3, -2, -1
Factor -5*w**3/8 + w**2/4 + 3*w/8.
-w*(w - 1)*(5*w + 3)/8
What is q in -8*q**4/7 - 5*q**3 - 52*q**2/7 - 31*q/7 - 6/7 = 0?
-2, -1, -3/8
Solve -14*b**4/13 + 102*b**3/13 + 28*b**2 + 168*b/13 - 80/13 = 0.
-2, -1, 2/7, 10
Find u such that u**5/4 + u**4 - 13*u**3/2 - 16*u**2 + 185*u/4 - 25 = 0.
-5, 1, 4
Find z such that -19*z**2/6 - 26*z/3 - 14/3 = 0.
-2, -14/19
Solve -2*n**4 - 12*n**3 + 78*n**2 - 32*n - 120 = 0 for n.
-10, -1, 2, 3
Factor 3*y**2/4 + 651*y/4 - 657/2.
3*(y - 2)*(y + 219)/4
Suppose 27*b**4/8 - 75*b**3/8 - 873*b**2/4 - 501*b/2 - 45 = 0. Calculate b.
-6, -1, -2/9, 10
Factor -2*i**2/7 - 6176*i/7 - 4767872/7.
-2*(i + 1544)**2/7
Determine v so that -v**2 - 5*v/4 - 1/4 = 0.
-1, -1/4
Let -14*u**5/3 - 1396*u**4/3 - 46724*u**3/3 - 178464*u**2 - 115434*u + 47916 = 0. Calculate u.
-33, -1, 2/7
Determine a, given that -16*a**5/7 - 116*a**4/7 - 220*a**3/7 - 48*a**2/7 = 0.
-4, -3, -1/4, 0
Let -6*g**5/5 + 34*g**4/5 - 32*g**3/5 - 8*g**2 + 32*g/5 = 0. Calculate g.
-1, 0, 2/3, 2, 4
Factor -54*a**2 - 274*a - 20.
-2*(a + 5)*(27*a + 2)
Suppose -14*z**3 + 486*z**2 + 140*z = 0. What is z?
-2/7, 0, 35
Suppose 9*l**4 + 60*l**3 + 114*l**2 + 36*l - 27 = 0. What is l?
-3, -1, 1/3
Solve -5*a**4 - 65*a**3 - 210*a**2 = 0 for a.
-7, -6, 0
Factor -4*m**2 - 6488*m - 2630884.
-4*(m + 811)**2
Factor -3*r**3 - 99*r**2 + 318*r - 216.
-3*(r - 2)*(r - 1)*(r + 36)
Suppose -j**2/9 - 2*j/3 - 8/9 = 0. Calculate j.
-4, -2
Factor -4*q**2 - 88*q - 84.
-4*(q + 1)*(q + 21)
Let 3*y**3/4 - 15*y**2/4 - 9*y/2 = 0. Calculate y.
-1, 0, 6
Factor -3*g**3 + 330*g**2 - 651*g + 324.
-3*(g - 108)*(g - 1)**2
Factor -2*r**3/7 + 17*r**2/7 + 53*r/7 + 22/7.
-(r - 11)*(r + 2)*(2*r + 1)/7
Solve -s**2/5 - s/5 + 56/5 = 0.
-8, 7
Factor -k**4 - 22*k**3 - 145*k**2 - 300*k.
-k*(k + 5)**2*(k + 12)
Factor -m**2/3 - 149*m.
-m*(m + 447)/3
What is g in -g**5/2 + 129*g**4/2 - 255*g**3/2 + 127*g**2/2 = 0?
0, 1, 127
Factor 3*m**4/4 + 11*m**3/4 - 10*m**2 + 3*m.
m*(m - 2)*(m + 6)*(3*m - 1)/4
Find w, given that -3*w**4 + 129*w**3 + 405*w**2 + 411*w + 138 = 0.
-1, 46
Solve -5*a**5 + 920*a**4 + 10500*a**3 + 43470*a**2 + 78705*a + 52650 = 0 for a.
-3, -2, 195
Find j, given that 2*j**2/11 - 1156*j/11 + 167042/11 = 0.
289
Factor -i**4/3 - 8*i**3/3 + 10*i**2 - 32*i/3 + 11/3.
-(i - 1)**3*(i + 11)/3
Determine q, given that 4*q**3 + 68*q**2 + 64*q = 0.
-16, -1, 0
Find q such that -9*q**3/4 + 87*q**2/4 - 93*q/2 - 18 = 0.
-1/3, 4, 6
Solve -2*d**4/11 - 28*d**3/11 + 48*d**2/11 + 252*d/11 - 270/11 = 0 for d.
-15, -3, 1, 3
Factor -2*z**2 - 208*z - 2208.
-2*(z + 12)*(z + 92)
Factor -4*w**5 - 7*w**4 + 50*w**3 + 148*w**2 + 88*w - 32.
-(w - 4)*(w + 2)**3*(4*w - 1)
Determine g so that -g**5/2 + 11*g**4/2 - 39*g**3/2 + 37*g**2/2 + 20*g - 24 = 0.
-1, 1, 3, 4
Factor p**2 + 15*p - 76.
(p - 4)*(p + 19)
What is t in 2*t**2 - 324*t - 326 = 0?
-1, 163
Let -10*y**3 + 65*y**2 - 30*y = 0. Calculate y.
0, 1/2, 6
Factor -2*w**3/5 + 18*w**2 + 2*w/5 - 18.
-2*(w - 45)*(w - 1)*(w + 1)/5
What is d in 3*d**2/2 + 30*d - 207/2 = 0?
-23, 3
What is g in -135*g**5 + 612*g**4 - 222*g**3 - 264*g**2 - 3*g + 12 = 0?
-1/3, 1/5, 1, 4
Factor 2*v**5/9 - 38*v**4/9 + 82*v**3/3 - 490*v**2/9 - 800*v/9 + 1000/3.
2*(v - 6)*(v - 5)**3*(v + 2)/9
Factor -3*s**2 + 45*s + 102.
-3*(s - 17)*(s + 2)
Factor -3*a**3 + 945*a**2 - 99225*a + 3472875.
-3*(a - 105)**3
Factor h**5 + 422*h**4.
h**4*(h + 422)
Determine g, given that 882*g**5 + 3858*g**4 + 5840*g**3 + 3760*g**2 + 928*g + 32 = 0.
-2, -1, -2/3, -2/49
What is s in 2*s**2/15 + 4*s/5 + 2/3 = 0?
-5, -1
Determine f so that 2*f**3/7 - 2330*f**2/7 + 97442*f - 289338 = 0.
3, 581
Factor c**2 + 445*c - 3164.
(c - 7)*(c + 452)
Factor -2*i**4/17 - 280*i**3/17 - 828*i**2/17 - 824*i/17 - 274/17.
-2*(i + 1)**3*(i + 137)/17
Factor 2*d**4 + 48*d**3 + 330*d**2 + 484*d.
2*d*(d + 2)*(d + 11)**2
Factor x**3 + 137*x**2 + 4760*x + 4624.
(x + 1)*(x + 68)**2
Factor -2*t**2/17 - 12*t/17 + 32/17.
-2*(t - 2)*(t + 8)/17
Suppose 8*d**2/3 + 7570*d/3 + 1892/3 = 0. What is d?
-946, -1/4
Factor -w**4/3 - 4*w**3/3 + 19*w**2/3 - 14*w/3.
-w*(w - 2)*(w - 1)*(w + 7)/3
Factor 2*x**4 - 38*x**3 + 70*x**2 - 34*x.
2*x*(x - 17)*(x - 1)**2
Factor -2*n**3/5 - 14*n**2/5 - 4*n.
-2*n*(n + 2)*(n + 5)/5
Factor -x**2/3 - 16*x/3 - 16.
-(x + 4)*(x + 12)/3
Suppose 2*t**3/7 + 6914*t**2/7 + 853138*t - 854126 = 0. Calculate t.
-1729, 1
Factor -3*b**4/2 - 129*b**3/2 + 66*b**2.
-3*b**2*(b - 1)*(b + 44)/2
Let -5*x**2 - 350*x + 355 = 0. Calculate x.
-71, 1
Factor m**4 + 115*m**3 + 3361*m**2 + 3021*m - 6498.
(m - 1)*(m + 2)*(m + 57)**2
Find t, given that 3*t**2/2 - 387*t/2 - 195 = 0.
-1, 130
Factor j**3 - 833*j**2 + 173888*j - 173056.
(j - 416)**2*(j - 1)
Factor -i**5/3 - 10*i**4/3 - 13*i**3 - 74*i**2/3 - 68*i/3 - 8.
-(i + 1)*(i + 2)**3*(i + 3)/3
Let -2*o**2 + 312*o - 310 = 0. What is o?
1, 155
Factor 3*h**2 + 138*h + 135.
3*(h + 1)*(h + 45)
Factor 5*g**2 - 425*g - 2250.
5*(g - 90)*(g + 5)
Factor -d**4/6 - 124*d**3/3 - 244*d**2 - 1456*d/3 - 968/3.
-(d + 2)**3*(d + 242)/6
Factor m**2 - 2*m - 3.
(m - 3)*(m + 1)
Let 2*w**2 + 710*w + 1412 = 0. What is w?
-353, -2
Factor -5*x**4/2 - 45*x**3/2 - 75*x**2/2 + 125*x/2.
-5*x*(x - 1)*(x + 5)**2/2
Let -15*h**3 - 57*h**2 - 66*h - 24 = 0. Calculate h.
-2, -1, -4/5
Find v such that 4*v**3 - 164*v**2 - 176*v + 336 = 0.
-2, 1, 42
Determine b so that b**3/5 - 11*b**2/5 + 31*b/5 - 21/5 = 0.
1, 3, 7
Factor 4*n**4 -