6)*(4*q - 1)**3/9
Determine s so that s**5 + 27*s**4 - 151*s**3 + 281*s**2 - 222*s + 64 = 0.
-32, 1, 2
Factor -2*w**3 - 40*w**2 + 2*w + 40.
-2*(w - 1)*(w + 1)*(w + 20)
Factor f**2/4 - 3531*f + 12467961.
(f - 7062)**2/4
Let -5*l**5 + 15*l**4 + 45*l**3 - 115*l**2 + 60*l = 0. What is l?
-3, 0, 1, 4
Factor -w**2/2 - 422*w - 89042.
-(w + 422)**2/2
Factor -z**4/7 - 64*z**3/7 - 957*z**2/7 + 2178*z/7.
-z*(z - 2)*(z + 33)**2/7
Factor 5*v**2 + 360*v + 6480.
5*(v + 36)**2
Determine h so that h**3 - 29*h**2 - 114*h + 576 = 0.
-6, 3, 32
Find d, given that d**2/10 + 407*d/10 - 204/5 = 0.
-408, 1
Factor 3*i**5 - 12*i**4 - 9*i**3 + 54*i**2.
3*i**2*(i - 3)**2*(i + 2)
What is f in 3*f**4/7 - 18*f**3/7 + 12*f**2/7 + 18*f/7 - 15/7 = 0?
-1, 1, 5
What is c in -12*c**3 + 92*c**2 - 128*c + 48 = 0?
2/3, 1, 6
Factor 2*f**4/3 + 1670*f**3/3 + 556*f**2.
2*f**2*(f + 1)*(f + 834)/3
Factor -12*f**3 + 45*f**2 + 264*f + 63.
-3*(f - 7)*(f + 3)*(4*f + 1)
Factor 2*x**4 + 160*x**3 - 492*x**2 + 496*x - 166.
2*(x - 1)**3*(x + 83)
Factor k**2 + 5*k - 14.
(k - 2)*(k + 7)
Factor 4*g**4 - 120*g**3 + 928*g**2 - 2688*g + 2560.
4*(g - 20)*(g - 4)**2*(g - 2)
Suppose -j**2/3 - 26*j/3 + 56/3 = 0. Calculate j.
-28, 2
Suppose g**3/8 + 2*g**2 - 19*g/8 - 17/4 = 0. Calculate g.
-17, -1, 2
Determine p so that 4*p**2 - 2752*p = 0.
0, 688
Let s**2/3 - 4*s + 35/3 = 0. What is s?
5, 7
Factor -2*s**4 + 330*s**3 - 13446*s**2 - 13778*s.
-2*s*(s - 83)**2*(s + 1)
Determine k so that -2*k**3/3 + 50*k**2/3 - 56*k = 0.
0, 4, 21
Let 16*p**4/7 + 148*p**3/7 + 416*p**2/7 + 320*p/7 = 0. Calculate p.
-4, -5/4, 0
Let -3*j**4/5 - 128*j**3/5 + 62*j**2 - 224*j/5 + 9 = 0. What is j?
-45, 1/3, 1
Find i such that -3*i**3/5 - 2799*i**2/5 - 870489*i/5 - 90240693/5 = 0.
-311
Factor -8*l**4/21 - 2*l**3/21 + 2*l**2/7.
-2*l**2*(l + 1)*(4*l - 3)/21
Factor -y**4/4 + 3*y**3/4 + 31*y**2/2 + 24*y - 40.
-(y - 10)*(y - 1)*(y + 4)**2/4
Suppose j**3 + 1047*j**2 + 2091*j + 1045 = 0. What is j?
-1045, -1
What is i in -4*i**2/7 + 720*i/7 - 32400/7 = 0?
90
Factor -5*f**3 + 135*f**2 - 1000*f + 1920.
-5*(f - 16)*(f - 8)*(f - 3)
Factor 14*m**3/3 + 88*m**2/3 - 118*m - 36.
2*(m - 3)*(m + 9)*(7*m + 2)/3
Let 5*k**3 - 850*k**2 + 28365*k + 691920 = 0. Calculate k.
-16, 93
Let 2*b**5 + 4*b**4 - 26*b**3 + 20*b**2 = 0. What is b?
-5, 0, 1, 2
Solve 4*v**2/11 - 478*v/11 - 240/11 = 0 for v.
-1/2, 120
Factor -p**2/2 + 10*p.
-p*(p - 20)/2
Factor j**2/3 + 11*j.
j*(j + 33)/3
Find x such that 20*x**5 + 44*x**4 + 8*x**3 - 40*x**2 - 28*x - 4 = 0.
-1, -1/5, 1
Solve 2*y**4/5 + 306*y**3 + 1528*y**2/5 = 0.
-764, -1, 0
Solve -3*f**5/4 + 63*f**4/4 - 219*f**3/4 + 261*f**2/4 - 51*f/2 = 0.
0, 1, 2, 17
Factor 6*s**5/5 + 2*s**4 + 2*s**3/5 - 2*s**2/5.
2*s**2*(s + 1)**2*(3*s - 1)/5
Factor 22*c**3/5 - 124*c**2/5 + 30*c + 72/5.
2*(c - 3)**2*(11*c + 4)/5
Let -r**4 - 12*r**3 - 32*r**2 = 0. What is r?
-8, -4, 0
Let -5*s**2 - 225*s + 3420 = 0. Calculate s.
-57, 12
What is d in d**3/4 + 11*d**2/4 - 21*d/2 = 0?
-14, 0, 3
Factor -r**2/5 + 190*r - 949/5.
-(r - 949)*(r - 1)/5
Suppose -35*u**4 + 85*u**3 - 30*u**2 = 0. What is u?
0, 3/7, 2
What is i in -10*i**3/3 + 46*i**2/3 + 20*i/3 = 0?
-2/5, 0, 5
Factor -5*o**3 - 80*o**2 + 615*o - 990.
-5*(o - 3)**2*(o + 22)
Let v**2/7 - 27*v/7 - 40 = 0. What is v?
-8, 35
Let -81*k**4 - 1899*k**3 - 2614*k**2 - 884*k - 88 = 0. Calculate k.
-22, -1, -2/9
Factor z**2/7 - 694*z/7.
z*(z - 694)/7
Find z, given that -z**2 - 3*z + 4 = 0.
-4, 1
What is s in s**2 + 10836*s + 29354724 = 0?
-5418
Suppose -c**5 + 16*c**4 - 88*c**3 + 170*c**2 + 25*c - 250 = 0. What is c?
-1, 2, 5
Suppose 14*t**5 - 60*t**4 + 86*t**3 - 48*t**2 + 8*t = 0. What is t?
0, 2/7, 1, 2
Determine j, given that -9*j**5 - 241*j**4 - 1440*j**3 + 2600*j**2 + 3024*j - 784 = 0.
-14, -1, 2/9, 2
Factor -2*s**3/7 + 4*s**2 - 118*s/7 + 20.
-2*(s - 7)*(s - 5)*(s - 2)/7
Factor -v**3/2 + 11*v**2/2 + 6*v.
-v*(v - 12)*(v + 1)/2
Factor -3*f**3 + 513*f**2 - 20592*f - 116160.
-3*(f - 88)**2*(f + 5)
Determine i so that 676*i**3 - 4680*i**2 + 3888*i - 864 = 0.
6/13, 6
Factor 2*f**2/3 + 388*f/3 + 18818/3.
2*(f + 97)**2/3
Factor q**5/5 + 17*q**4/5 + 16*q**3/5.
q**3*(q + 1)*(q + 16)/5
Find t such that 6*t**5/5 + 68*t**4/5 + 168*t**3/5 + 48*t**2/5 - 128*t/5 = 0.
-8, -2, 0, 2/3
Find m such that -m**3 - 2*m**2 + 3*m = 0.
-3, 0, 1
Find f, given that -5*f**3 + 5*f**2 + 85*f + 75 = 0.
-3, -1, 5
Solve -2*m**2/7 + 58*m/7 + 60/7 = 0 for m.
-1, 30
Factor -3*p**3/7 - 360*p**2/7 + 3*p/7 + 360/7.
-3*(p - 1)*(p + 1)*(p + 120)/7
Solve -5*p**4/2 + 10*p**3 + 25*p**2 - 70*p + 75/2 = 0 for p.
-3, 1, 5
Factor -q**2 - 198*q - 9801.
-(q + 99)**2
Suppose -j**2/2 + j + 24 = 0. What is j?
-6, 8
Determine u so that 2*u**4/7 + 8*u**3/7 - 10*u**2 - 12*u/7 + 288/7 = 0.
-8, -2, 3
Factor -j**4/3 - 330*j**3 - 659*j**2 - 988*j/3.
-j*(j + 1)**2*(j + 988)/3
Solve 3*c**3 - 15*c**2 - 6*c + 72 = 0.
-2, 3, 4
Let -2*s**2/9 + 1030*s/9 - 228 = 0. Calculate s.
2, 513
Let -2*a**2/5 + 150*a - 1492/5 = 0. What is a?
2, 373
Factor -2*j**2/11 - 40*j/11 - 200/11.
-2*(j + 10)**2/11
Determine u so that -4*u**4 + 18*u**3 + 20*u**2 - 54*u + 20 = 0.
-2, 1/2, 1, 5
What is i in 2*i**2/17 - 4058*i/17 + 4056/17 = 0?
1, 2028
Factor 4*p**3/3 + 24164*p**2/3.
4*p**2*(p + 6041)/3
Factor -f**3 + 176*f**2 + f - 176.
-(f - 176)*(f - 1)*(f + 1)
Suppose l**3/5 - 9*l**2/5 - 2*l = 0. Calculate l.
-1, 0, 10
Factor -2*v**2/5 - 2278*v/5 + 456.
-2*(v - 1)*(v + 1140)/5
Solve 3*r**3/2 - 24*r**2 - 105*r/2 - 27 = 0 for r.
-1, 18
Find t such that 5*t**2 - 15*t - 650 = 0.
-10, 13
Factor -r**5/2 + r**4 - r**2 + r/2.
-r*(r - 1)**3*(r + 1)/2
Solve -24*b**5/13 - 32*b**4/13 + 14*b**3/13 + 32*b**2/13 + 10*b/13 = 0.
-1, -5/6, -1/2, 0, 1
Factor 3*i**2/5 + 42*i/5 + 72/5.
3*(i + 2)*(i + 12)/5
Factor -3*d**2/7 - 225*d/7 - 2958/7.
-3*(d + 17)*(d + 58)/7
Factor 2*o**2 + 26*o + 24.
2*(o + 1)*(o + 12)
Determine g, given that 47*g**2/5 + 57*g/5 + 2 = 0.
-1, -10/47
Find z such that 2*z**3/9 - 8*z**2 - 74*z/9 = 0.
-1, 0, 37
Find v such that v**4/4 + 23*v**3/4 + 19*v**2 = 0.
-19, -4, 0
Determine i, given that -i**5/3 - i**4 + i**3 + 7*i**2/3 - 2*i = 0.
-3, -2, 0, 1
What is d in -5*d**5 + 60*d**4 - 85*d**3 - 150*d**2 = 0?
-1, 0, 3, 10
Factor -4*q**2 + 24*q - 32.
-4*(q - 4)*(q - 2)
Factor -2*x**3/7 - 20*x**2/7 - 2*x/7 + 240/7.
-2*(x - 3)*(x + 5)*(x + 8)/7
Factor 3*x**2/5 - 19236*x/5 + 30835308/5.
3*(x - 3206)**2/5
Factor 4*z**2/5 + 92*z/5 - 96/5.
4*(z - 1)*(z + 24)/5
Factor 3*r**2 - 1296*r + 139968.
3*(r - 216)**2
Factor 3*l**5/8 - 15*l**4/4 + 27*l**3/8.
3*l**3*(l - 9)*(l - 1)/8
Find z such that -48*z**3 + 120*z**2 - 51*z + 6 = 0.
1/4, 2
Factor u**2/2 - 13*u - 28.
(u - 28)*(u + 2)/2
Find q, given that 4*q**4 + 76*q**3 + 452*q**2 + 644*q - 1176 = 0.
-7, -6, 1
Let 18*x**4/7 + 960*x**3/7 + 13424*x**2/7 + 16640*x/7 + 5408/7 = 0. What is x?
-26, -2/3
Determine j so that 1065*j**4 + 3875*j**3 + 2020*j**2 - 60*j = 0.
-3, -2/3, 0, 2/71
Solve 12*a**4 + 160*a**3 - 316*a**2 - 224*a + 240 = 0.
-15, -1, 2/3, 2
Factor -4*d**3 - 92*d**2 + 4*d + 92.
-4*(d - 1)*(d + 1)*(d + 23)
Factor 3*s**3 - 9*s**2 - 18*s + 24.
3*(s - 4)*(s - 1)*(s + 2)
Factor 15*y**3 - 110*y**2 + 215*y - 60.
5*(y - 4)*(y - 3)*(3*y - 1)
Factor -5*p**2 + 265*p - 260.
-5*(p - 52)*(p - 1)
Factor -3*f**2 + 66*f - 336.
-3*(f - 14)*(f - 8)
Factor 1216*c**3 + 2428*c**2 - 8*c.
4*c*(c + 2)*(304*c - 1)
Find j such that 2*j**5/5 - 5*j**4/2 + 13*j**3/5 - j**2/2 = 0.
0, 1/4, 1, 5
Factor -2*f**4/9 - 8*f**3/9 + 14*f**2/9 + 20*f/9.
-2*f*(f - 2)*(f + 1)*(f + 5)/9
Factor 5*r**3/3 + 80*r**2/3 + 105*r.
5*r*(r + 7)*(r + 9)/3
Find o such that 2*o**5/3 + 8*o**4 - 56*o**3/3 = 0.
-14, 0, 2
Determine k so that -k**5 + 127*k**4/2 - 27*k**3 - 571*k**2/2 + 124*k + 126 = 0.
-2, -1/2, 1, 2, 63
Factor 4*h**3 - 4216*h**2 + 4212*h.
4*h*(h - 1053)*(h - 1)
Solve a**3/4 + 69*a**2/4 + 306*a + 289 = 0 for a.
-34, -1
Factor -15*c**3 + 335*c**2 - 1790*c + 560.
-5*(c - 14)*(c - 8)*(3*c - 1)
Determine y, given that -2*y**4/17 + 840*y**3/17 - 89864*y**2/17 + 349440*y/17 - 346112/17 = 0.
2, 208
Factor -2*y**3 + 718*y**2 - 716*y.
-2*y*(y - 358)*(y - 1)
Factor -d**3 - 53*d**2 - 760*d - 3300.
-(d + 10)**2*(d + 33)
Factor g**2 - 21*g - 196.
(g - 28)*(g + 7)
Determine a so that 2*a**2 - 166*a = 0.
0, 83
Factor 4*b**5 + 156*b**4 + 1848*b**3 + 3920*b**2 - 32928*b.
4*b*(b - 3)*(b + 14)**3
Determine d, given tha