en that 3*f**4 + 78*f**3 + 756*f**2 + 3234*f + 5145 = 0.
-7, -5
Find z such that z**5/5 - 2*z**4 + 23*z**3/5 + 2*z**2 - 24*z/5 = 0.
-1, 0, 1, 4, 6
Find u such that -2*u**3 + 876*u**2 + 1758*u + 880 = 0.
-1, 440
Find l, given that l**4/2 + l**3/2 - 29*l**2 - 56*l = 0.
-7, -2, 0, 8
Solve y**5 + 11*y**4 + 38*y**3 + 52*y**2 + 24*y = 0.
-6, -2, -1, 0
Determine y, given that 36*y**5 + 180*y**4 - 1468*y**3 - 1588*y**2 - 360*y = 0.
-9, -2/3, -1/3, 0, 5
Factor 20*o**3 + 205*o**2 + 370*o + 80.
5*(o + 2)*(o + 8)*(4*o + 1)
Solve -3*t**3/5 - 3*t**2 + 3*t/5 + 3 = 0 for t.
-5, -1, 1
Let -4*k**4 - 4*k**3 + 24*k**2 + 16*k - 32 = 0. What is k?
-2, 1, 2
Solve m**5 - 102*m**4 + 2385*m**3 + 11236*m**2 = 0.
-4, 0, 53
Factor 3*r**2 - 51*r - 114.
3*(r - 19)*(r + 2)
Factor 5*i**5 - 35*i**4 - 390*i**3.
5*i**3*(i - 13)*(i + 6)
Factor 5*r**2 - 190*r + 1785.
5*(r - 21)*(r - 17)
Factor p**2 - 2143*p - 2144.
(p - 2144)*(p + 1)
Factor 4*d**4 - 20*d**3 + 32*d**2 - 16*d.
4*d*(d - 2)**2*(d - 1)
Factor 44*a**4 - 828*a**3 - 152*a**2.
4*a**2*(a - 19)*(11*a + 2)
Factor 38*n**3 - 4*n**2 - 38*n + 4.
2*(n - 1)*(n + 1)*(19*n - 2)
Suppose 4*n**5/17 - 10*n**4/17 - 8*n**3 + 70*n**2/17 = 0. What is n?
-5, 0, 1/2, 7
Factor -2*j**3/7 + 130*j**2/7 - 1118*j/7 + 990/7.
-2*(j - 55)*(j - 9)*(j - 1)/7
Factor -f**3/5 - 31*f**2/5 + 28*f.
-f*(f - 4)*(f + 35)/5
Factor -470*l**2/11 - 474*l/11 - 4/11.
-2*(l + 1)*(235*l + 2)/11
Factor 5*o**3 + 120*o**2 - 10240.
5*(o - 8)*(o + 16)**2
What is s in -12*s**4 + 164*s**3 - 104*s**2 = 0?
0, 2/3, 13
Let -b**5 + 6*b**4 + 3*b**3 - 20*b**2 + 12*b = 0. What is b?
-2, 0, 1, 6
Solve -20*p**5 + 12*p**4 + 328*p**3 + 528*p**2 + 160*p = 0.
-2, -2/5, 0, 5
Factor -8*d**3/3 + 10*d**2 + 104*d/3 + 8.
-2*(d - 6)*(d + 2)*(4*d + 1)/3
What is l in 4*l**3/7 - 20*l**2/7 + 16*l/7 = 0?
0, 1, 4
Determine z so that -5*z**2 - 65*z - 150 = 0.
-10, -3
Factor -3*u**3/5 - 27*u**2/5 - 69*u/5 - 9.
-3*(u + 1)*(u + 3)*(u + 5)/5
Solve -6*t**5 - 27*t**4 - 3*t**3 + 39*t**2 + 9*t - 12 = 0 for t.
-4, -1, 1/2, 1
Factor -4*x**2/5 + 12032*x/5 - 9048064/5.
-4*(x - 1504)**2/5
Factor -3*o**3/4 - 237*o**2/4 + 123*o/2 + 120.
-3*(o - 2)*(o + 1)*(o + 80)/4
Factor x**3 + 218*x**2.
x**2*(x + 218)
Factor -3*d**2/2 - 3*d + 9/2.
-3*(d - 1)*(d + 3)/2
Factor -3*z**2/5 - 6*z/5 + 144/5.
-3*(z - 6)*(z + 8)/5
Suppose -2*q**3/11 + 168*q**2/11 - 3528*q/11 = 0. What is q?
0, 42
Suppose 3*j**5/7 - 12*j**4/7 + 30*j**2/7 - 3*j/7 - 18/7 = 0. Calculate j.
-1, 1, 2, 3
Factor -t**2/3 + 76*t/3 - 148/3.
-(t - 74)*(t - 2)/3
What is t in t**2 + 134*t + 1240 = 0?
-124, -10
Find f such that -2*f**2 + 126*f - 124 = 0.
1, 62
Factor -2*x**3 - 42*x**2 - 168*x - 128.
-2*(x + 1)*(x + 4)*(x + 16)
Let 2*u**4 + 4*u**3 - 30*u**2 + 8*u + 40 = 0. What is u?
-5, -1, 2
Find q such that -4*q**2 + 32*q + 192 = 0.
-4, 12
Factor v**2 - 20*v - 384.
(v - 32)*(v + 12)
Determine c so that -5*c**3 + 10*c**2 + 5*c - 10 = 0.
-1, 1, 2
Factor -u**2/4 + 39*u/2 - 77/4.
-(u - 77)*(u - 1)/4
Solve 2*a**5/7 - 2*a**4/7 - 6*a**3/7 + 2*a**2/7 + 4*a/7 = 0 for a.
-1, 0, 1, 2
Suppose y**5/2 - 11*y**4 + 39*y**3 - 56*y**2 + 73*y/2 - 9 = 0. Calculate y.
1, 18
Solve -2*w**3/9 - 82*w**2/9 + 2*w/9 + 82/9 = 0 for w.
-41, -1, 1
Determine u, given that -5*u**4 - 15*u**3 + 90*u**2 + 160*u - 480 = 0.
-4, 2, 3
Determine b so that 6*b**4 + 21*b**3 - 33*b**2 - 66*b + 72 = 0.
-4, -2, 1, 3/2
What is a in -5*a**5 - 90*a**4 - 235*a**3 - 150*a**2 = 0?
-15, -2, -1, 0
Let 3*c**3/7 - 3*c**2/7 - 6*c/7 = 0. Calculate c.
-1, 0, 2
Suppose -6*b**5/7 + 96*b**4/7 - 456*b**3/7 + 492*b**2/7 + 66*b - 84 = 0. What is b?
-1, 1, 2, 7
Factor 2*o**2/5 - 14*o/5 - 3096/5.
2*(o - 43)*(o + 36)/5
Suppose -7*n**3/3 + n**2 + 4*n/3 = 0. What is n?
-4/7, 0, 1
Suppose -2*o**4 - 26*o**3 - 82*o**2 - 94*o - 36 = 0. Calculate o.
-9, -2, -1
Solve 4*x**2 - 2584*x + 417316 = 0 for x.
323
Factor -5*q**2 - 2165*q - 4310.
-5*(q + 2)*(q + 431)
Let 3*p**5 + 24*p**4 + 69*p**3 + 84*p**2 + 36*p = 0. Calculate p.
-3, -2, -1, 0
Factor 4*i**3 - 708*i**2 + 1404*i - 700.
4*(i - 175)*(i - 1)**2
Solve -9*j**3 - 75*j**2 - 88*j - 28 = 0 for j.
-7, -2/3
Factor -4*x**3 - 768*x**2 - 49152*x - 1048576.
-4*(x + 64)**3
Factor 6*j**4 - 2*j**3 - 52*j**2 + 40*j + 48.
2*(j - 2)**2*(j + 3)*(3*j + 2)
Determine p, given that -2*p**3/17 + 68*p**2 + 1158*p/17 = 0.
-1, 0, 579
Determine i, given that 694*i**2/5 + 138*i - 4/5 = 0.
-1, 2/347
Let -2*v**2/7 - 370*v/7 - 732/7 = 0. Calculate v.
-183, -2
Let 9*j**5 + 24*j**4 - 15*j**3 - 90*j**2 - 84*j - 24 = 0. What is j?
-2, -1, -2/3, 2
Solve 2*l**2/23 - 18*l/23 + 36/23 = 0.
3, 6
Factor 2*h**2/15 - 14*h/5 - 44/15.
2*(h - 22)*(h + 1)/15
Let 2*w**3/9 + 178*w**2/9 + 430*w - 450 = 0. Calculate w.
-45, 1
Factor -5*v**3 + 700*v**2 - 27060*v + 174240.
-5*(v - 66)**2*(v - 8)
Suppose 4*d**4/7 - 4*d**2/7 = 0. What is d?
-1, 0, 1
Let 2*l**2/15 - 262*l/15 - 532/15 = 0. What is l?
-2, 133
Factor -2*j**4/3 - 8*j**3 - 44*j**2/3 + 56*j - 98/3.
-2*(j - 1)**2*(j + 7)**2/3
Determine l, given that -5*l**2 + 40*l + 1725 = 0.
-15, 23
Factor 4*i**5 - 56*i**4 + 144*i**3 - 136*i**2 + 44*i.
4*i*(i - 11)*(i - 1)**3
Solve 20*a**4/17 - 6*a**3/17 - 36*a**2/17 + 10*a/17 + 12/17 = 0 for a.
-6/5, -1/2, 1
Solve 10*s**3/19 - 24*s**2/19 = 0.
0, 12/5
Solve -3*z**2 + 459*z - 456 = 0 for z.
1, 152
Suppose n**4/4 - n**3 - n**2 + 4*n = 0. What is n?
-2, 0, 2, 4
What is w in 90*w**5/7 - 831*w**4/7 + 123*w**3/7 + 633*w**2/7 - 51*w + 54/7 = 0?
-1, 1/3, 2/5, 1/2, 9
Factor x**3/4 + 3*x**2/2 - 7*x/4.
x*(x - 1)*(x + 7)/4
Factor p**4 + 14*p**3 + 13*p**2.
p**2*(p + 1)*(p + 13)
Let 4*l**3 + 12*l**2 - 24*l - 32 = 0. Calculate l.
-4, -1, 2
Factor 2*t**2/5 + 37456*t/5 + 175368992/5.
2*(t + 9364)**2/5
Find r, given that -r**3/3 + r**2/3 + 10*r - 24 = 0.
-6, 3, 4
Factor 4*k**2 + 56*k + 52.
4*(k + 1)*(k + 13)
Factor 37*w**5/3 - 445*w**4/6 + 149*w**3 - 302*w**2/3 + 4*w/3.
w*(w - 2)**3*(74*w - 1)/6
Find a such that -2*a**2/19 - 2*a + 240/19 = 0.
-24, 5
Factor 2*n**4/5 + 12*n**3/5 + 24*n**2/5 + 16*n/5.
2*n*(n + 2)**3/5
Factor 3*s**2 + 27*s - 756.
3*(s - 12)*(s + 21)
Factor -2*h**3/9 + 20*h**2/9 + 106*h/9 + 28/3.
-2*(h - 14)*(h + 1)*(h + 3)/9
Factor 3*a**5 + 63*a**4 - 75*a**3 - 183*a**2 + 324*a - 132.
3*(a - 1)**3*(a + 2)*(a + 22)
Factor -5*b**3 + 75*b**2 - 240*b - 320.
-5*(b - 8)**2*(b + 1)
Find b, given that 7*b**5/9 + b**4/9 - 7*b**3/3 + 11*b**2/9 + 2*b/9 = 0.
-2, -1/7, 0, 1
Factor -p**4 + 12*p**3 - 41*p**2 + 42*p.
-p*(p - 7)*(p - 3)*(p - 2)
Find z, given that z**3/3 - 31*z**2/3 + 105*z - 351 = 0.
9, 13
Find g, given that 3*g**4/4 - 315*g**3/4 - 1641*g**2/4 - 1017*g/4 + 1485/2 = 0.
-3, 1, 110
Suppose 2*j**4/5 - 2*j**3/5 - 6*j**2/5 + 2*j/5 + 4/5 = 0. What is j?
-1, 1, 2
Factor -2*w**3/5 + 518*w**2/5 - 4016*w/5.
-2*w*(w - 251)*(w - 8)/5
Find w such that 2*w**2/5 - 4*w - 78/5 = 0.
-3, 13
Find s, given that -2*s**3/15 - 16*s**2/15 + 128*s/15 + 1024/15 = 0.
-8, 8
Suppose -2*z**4 + 18*z**3 - 30*z**2 - 50*z = 0. Calculate z.
-1, 0, 5
Factor -c**4/4 - 4*c**3 - 39*c**2/2 - 28*c - 49/4.
-(c + 1)**2*(c + 7)**2/4
Solve k**4/2 + 17*k**3 - 147*k**2/2 + 94*k - 38 = 0.
-38, 1, 2
What is n in -3*n**3/5 - 342*n**2/5 - 12996*n/5 - 164616/5 = 0?
-38
Find h such that h**5/4 + 115*h**4/4 + 3007*h**3/4 - 17163*h**2/4 + 6210*h - 2700 = 0.
-60, 1, 3
Factor -b**4/3 + 22*b**3/3 - 121*b**2/3.
-b**2*(b - 11)**2/3
Suppose -28*y**5 - 652*y**4 - 3964*y**3 + 5724*y**2 + 83592*y + 23328 = 0. Calculate y.
-9, -2/7, 4
Factor 2*a**4 + 3296*a**3 + 1361244*a**2 + 2712608*a + 1354658.
2*(a + 1)**2*(a + 823)**2
Determine b, given that -4*b**3 + 32088*b**2 - 85803312*b + 76479352096 = 0.
2674
Factor v**4/5 + 12*v**3/5 + 36*v**2/5.
v**2*(v + 6)**2/5
What is g in -764*g**2/3 - 772*g/3 - 8/3 = 0?
-1, -2/191
Determine n so that n**4/2 - 4*n**3 - 57*n**2/2 - 50*n - 26 = 0.
-2, -1, 13
Factor 5*q**3 - 6875*q**2 + 2359840*q + 2366720.
5*(q - 688)**2*(q + 1)
Let i**3/5 - 3*i**2 + 23*i/5 + 39/5 = 0. Calculate i.
-1, 3, 13
Let -2*b**4 + 16*b**3 - 48*b**2 + 64*b - 32 = 0. What is b?
2
Factor -2*f**3/17 + 6*f**2/17 - 8/17.
-2*(f - 2)**2*(f + 1)/17
Let 7*h**5/4 - 715*h**4/2 + 35897*h**3/2 + 31672*h**2 + 32239*h/4 - 10609/2 = 0. Calculate h.
-1, 2/7, 103
Factor -3*u**4/7 + 3*u**3 - 12*u**2/7 - 36*u/7.
-3*u*(u - 6)*(u - 2)*(u + 1)/7
Determine t so that -507*t**4 + 351*t**3 + 144*t**2 + 12*t = 0.
-2/13, 0, 1
Solve 4*p**3 - 516