*v**4 + 3823*v**3 - 16701*v**2 + 12996*v.
v*(v - 57)**2*(v - 4)*(v - 1)
Solve -4*t**5 + 16*t**4 - 16*t**3 - 8*t**2 + 20*t - 8 = 0 for t.
-1, 1, 2
Let 3*d**2/5 - 6*d/5 = 0. What is d?
0, 2
Factor -4*w**2 + 668*w + 1352.
-4*(w - 169)*(w + 2)
Factor -55*f**3 - 50*f**2 + 5*f.
-5*f*(f + 1)*(11*f - 1)
Suppose 2*y**5 - 2*y**4 - 14*y**3 + 26*y**2 - 12*y = 0. Calculate y.
-3, 0, 1, 2
Factor 5*f**2/2 + 195*f/2 + 920.
5*(f + 16)*(f + 23)/2
Find j, given that -3*j**4 + 39*j**3 - 69*j**2 + 33*j = 0.
0, 1, 11
Factor 3*j**2 - 129*j - 132.
3*(j - 44)*(j + 1)
What is x in 7*x**4/4 - 15*x**3 + 36*x**2 - 16*x = 0?
0, 4/7, 4
Let 2*c**2 + 9960*c + 12400200 = 0. What is c?
-2490
Factor 3*u**4/2 + 21*u**3 - 33*u**2/2 - 630*u + 1350.
3*(u - 3)**2*(u + 10)**2/2
Factor -x**2 - 3*x + 18.
-(x - 3)*(x + 6)
Factor -2*p**3 - 100*p**2 - 1250*p.
-2*p*(p + 25)**2
Factor -3*f**3/7 - 978*f**2/7 - 78720*f/7 + 161376/7.
-3*(f - 2)*(f + 164)**2/7
Factor -b**4/2 - 3*b**3 + 15*b**2/2 + 76*b + 120.
-(b - 5)*(b + 3)*(b + 4)**2/2
Suppose 5*m**4/2 + 95*m**3/6 + 35*m**2/2 - 155*m/6 - 10 = 0. Calculate m.
-4, -3, -1/3, 1
Factor 2*g**5 + 20*g**4 + 48*g**3.
2*g**3*(g + 4)*(g + 6)
What is j in 5*j**4 + 15*j**3 - 15*j**2 - 55*j - 30 = 0?
-3, -1, 2
Factor 10*v**3 + 11*v**2/3 - 2*v.
v*(3*v + 2)*(10*v - 3)/3
Determine j, given that -8*j**5 - 204*j**4 - 1120*j**3 + 612*j**2 = 0.
-17, -9, 0, 1/2
Let -2*l**2/15 - 176*l/15 - 34 = 0. What is l?
-85, -3
Factor 2*o**4/19 + 610*o**3/19 + 1818*o**2/19 + 1814*o/19 + 604/19.
2*(o + 1)**3*(o + 302)/19
Suppose 3*p**5 + 36*p**4 + 66*p**3 - 252*p**2 + 147*p = 0. Calculate p.
-7, 0, 1
Find q such that -2*q**4/19 + 18*q**2/19 - 8*q/19 - 24/19 = 0.
-3, -1, 2
Let 10*r**5 + 16*r**4 - 38*r**3 + 12*r**2 = 0. What is r?
-3, 0, 2/5, 1
Factor -y**3/12 - 13*y**2/4 + y/3 + 13.
-(y - 2)*(y + 2)*(y + 39)/12
Determine t so that 2*t**4 - 14*t**3/3 - 36*t**2 - 136*t/3 - 16 = 0.
-2, -1, -2/3, 6
Suppose -2*t**4/23 + 4*t**3/23 + 214*t**2/23 + 360*t/23 - 576/23 = 0. Calculate t.
-8, -3, 1, 12
Factor 35*y**4 - 120*y**3 - 80*y**2.
5*y**2*(y - 4)*(7*y + 4)
Factor 14*y**5/5 - 36*y**4/5 - 18*y**3/5.
2*y**3*(y - 3)*(7*y + 3)/5
Determine j, given that 8*j**2 + 284*j - 144 = 0.
-36, 1/2
Determine a so that -28*a**2 - 79332*a - 22664 = 0.
-2833, -2/7
Determine b so that -8*b**5/15 + 26*b**4/5 - 12*b**3 - 10*b**2/3 + 96*b/5 + 24/5 = 0.
-1, -1/4, 2, 3, 6
Solve 2*i**5 + 30*i**4 + 148*i**3 + 264*i**2 + 144*i = 0 for i.
-6, -2, -1, 0
Suppose 20*i**4 + 144*i**3 + 8*i**2 - 144*i - 28 = 0. What is i?
-7, -1, -1/5, 1
Solve l**4 + 83*l**3/2 + 593*l**2/2 + 534*l + 198 = 0.
-33, -6, -2, -1/2
Factor 3*u**5 - 27*u**4 - 234*u**3 - 516*u**2 - 360*u.
3*u*(u - 15)*(u + 2)**3
Factor -2*t**3/3 - 4*t**2 - 10*t/3 + 8.
-2*(t - 1)*(t + 3)*(t + 4)/3
Solve -s**2/2 + 3*s/2 + 20 = 0 for s.
-5, 8
Find r such that -r**2 + 594*r - 593 = 0.
1, 593
Factor -2*q**2/3 + 4*q + 18.
-2*(q - 9)*(q + 3)/3
Factor -6*l**3 - 142*l**2 + 592*l/3 - 200/3.
-2*(l + 25)*(3*l - 2)**2/3
Factor -4*s**2 + 464*s.
-4*s*(s - 116)
Solve 4*r**2 - 3652*r + 3648 = 0 for r.
1, 912
Determine b so that -2*b**3/11 + 16*b**2/11 + 518*b/11 + 196 = 0.
-7, 22
Find u, given that 2*u**5 + 2*u**4 = 0.
-1, 0
Factor 2*b**4/7 - 88*b**3/7 - 90*b**2/7.
2*b**2*(b - 45)*(b + 1)/7
Determine x, given that -3*x**3/2 - 57*x**2 - 483*x/2 + 6348 = 0.
-23, 8
Suppose 6*i**5 - 206*i**4 + 1988*i**3 - 3712*i**2 + 1024*i = 0. What is i?
0, 1/3, 2, 16
Factor 2*x**2/3 - 16*x/3 - 40/3.
2*(x - 10)*(x + 2)/3
Factor 4*a**4 + 60*a**3 - 288*a**2 + 304*a.
4*a*(a - 2)**2*(a + 19)
Suppose -s**2/7 + 106*s/7 - 208/7 = 0. Calculate s.
2, 104
Solve 2*g**5 - 19*g**4/2 + 8*g**3 + 21*g**2/2 - 9*g = 0.
-1, 0, 3/4, 2, 3
Factor -2*s**3/3 + 8*s**2 + 98*s/3 - 40.
-2*(s - 15)*(s - 1)*(s + 4)/3
Factor 3*s**5/2 - 171*s**4 + 5040*s**3 - 9408*s**2.
3*s**2*(s - 56)**2*(s - 2)/2
Factor -z**2/2 - 9*z/2 + 11.
-(z - 2)*(z + 11)/2
Factor 4*w**3/7 + 7584*w**2/7 + 15156*w/7 + 7576/7.
4*(w + 1)**2*(w + 1894)/7
Factor 11*z**3 + 329*z**2 + 586*z - 56.
(z + 2)*(z + 28)*(11*z - 1)
Factor -2*j**2/5 - 26*j/5 + 28/5.
-2*(j - 1)*(j + 14)/5
Let 2*b**5 + 52*b**4 - 110*b**3 + 56*b**2 = 0. What is b?
-28, 0, 1
Determine c, given that 25*c**5/4 - 285*c**4/2 + 711*c**3 - 502*c**2 + 96*c = 0.
0, 2/5, 6, 16
Determine q, given that -3*q**2/2 + 114*q - 2166 = 0.
38
Let -2*c**4/9 + 26*c**3/9 + 578*c**2/9 + 550*c/9 = 0. What is c?
-11, -1, 0, 25
Factor -r**3/11 - 31*r**2/11 + 840*r/11 + 26100/11.
-(r - 29)*(r + 30)**2/11
Solve s**5 + 19*s**4 + 44*s**3 - 64*s**2 = 0 for s.
-16, -4, 0, 1
Find p such that p**5 + 42*p**4 + 350*p**3 - 1888*p**2 + 2553*p - 1058 = 0.
-23, 1, 2
Factor 2*k**5 + 6*k**4 - 12*k**3 - 16*k**2.
2*k**2*(k - 2)*(k + 1)*(k + 4)
Suppose 3*g**5 - 31*g**4 + 62*g**3 + 56*g**2 = 0. What is g?
-2/3, 0, 4, 7
Let l**4/4 - 5*l**3/4 - 3*l**2/4 + 17*l/4 - 5/2 = 0. Calculate l.
-2, 1, 5
Suppose 4*d**5 - 48*d**4 + 84*d**3 - 40*d**2 = 0. What is d?
0, 1, 10
Factor -33*i**2 + 96*i - 60.
-3*(i - 2)*(11*i - 10)
Factor 4*t**4/5 - 176*t**3 + 63936*t**2/5 - 1489472*t/5 - 3241792/5.
4*(t - 74)**3*(t + 2)/5
Let k**5/4 - 6*k**4 + 127*k**3/4 - 30*k**2 - 68*k = 0. Calculate k.
-1, 0, 4, 17
Factor -16*o**3/7 - 2*o**2/7.
-2*o**2*(8*o + 1)/7
What is j in 2*j**5/11 + 36*j**4/11 + 8*j**3 - 36*j**2/11 - 90*j/11 = 0?
-15, -3, -1, 0, 1
Factor -44*g**2 - 64*g - 20.
-4*(g + 1)*(11*g + 5)
Find j such that 2*j**4/15 + 8*j**3/15 - 4*j**2/3 - 56*j/15 - 2 = 0.
-5, -1, 3
Let -8*c**3 - 2476*c**2 - 190960*c + 96100 = 0. Calculate c.
-155, 1/2
Factor 2*w**2/17 + 44*w/17 - 46/17.
2*(w - 1)*(w + 23)/17
Factor 2*n**3/11 + 40*n**2.
2*n**2*(n + 220)/11
Let -3*x**2/5 + 378*x/5 - 11907/5 = 0. What is x?
63
Let -w**3/4 + 575*w**2/4 + 1153*w/4 + 577/4 = 0. Calculate w.
-1, 577
Suppose -w**4/2 + 182*w**3 - 361*w**2/2 - 363*w = 0. Calculate w.
-1, 0, 2, 363
Factor -3*m**2 + 3672*m - 1123632.
-3*(m - 612)**2
Factor 5*q**2 + 4330*q + 937445.
5*(q + 433)**2
Suppose 4*z**4 - 20*z**3 - 96*z**2 - 16*z + 128 = 0. What is z?
-2, 1, 8
Factor -3*c**2 - 780*c + 3168.
-3*(c - 4)*(c + 264)
Determine d, given that 12*d**4 - 33*d**3 - 309*d**2 + 825*d + 225 = 0.
-5, -1/4, 3, 5
Determine b so that -3*b**2 - 219*b - 630 = 0.
-70, -3
Factor -4*a**3 + 20*a**2 - 32*a + 16.
-4*(a - 2)**2*(a - 1)
Factor 2*a**4 + 72*a**3 + 810*a**2 + 2700*a.
2*a*(a + 6)*(a + 15)**2
Suppose -5*z**5/3 - 1705*z**4 - 1744210*z**3/3 - 198253990*z**2/3 + 581405*z + 198259105/3 = 0. Calculate z.
-341, -1, 1
Factor -2*g**3/23 + 62*g/23 - 60/23.
-2*(g - 5)*(g - 1)*(g + 6)/23
What is c in -1363*c**3 - 6431*c**2/5 + 76*c - 4/5 = 0?
-1, 2/145, 2/47
Factor 2*l**2/3 - 48*l + 142/3.
2*(l - 71)*(l - 1)/3
Determine z so that -4*z**3 + 44*z**2 - 104*z + 64 = 0.
1, 2, 8
Find g, given that 4*g**2 - 11172*g - 11176 = 0.
-1, 2794
What is z in -2*z**2/9 - 796*z/3 + 2390/9 = 0?
-1195, 1
Suppose -24*j**2/7 + 645*j/7 + 81/7 = 0. What is j?
-1/8, 27
Determine t so that 3*t**5 - 51*t**4 + 297*t**3 - 621*t**2 + 972 = 0.
-1, 3, 6
Factor 5*k**2 - 30*k - 35.
5*(k - 7)*(k + 1)
Find x, given that 21*x**5 + 12*x**4 - 42*x**3 - 24*x**2 + 21*x + 12 = 0.
-1, -4/7, 1
Find q such that -4*q**2 + 312*q - 6084 = 0.
39
Factor -3*w**3 - 183*w**2 - 3600*w - 22464.
-3*(w + 13)*(w + 24)**2
Factor z**3 + 4*z**2 - 4*z - 16.
(z - 2)*(z + 2)*(z + 4)
Factor 15*u**3 - 290*u**2 - 860*u - 440.
5*(u - 22)*(u + 2)*(3*u + 2)
Factor 4*n**4 - 864*n**3 + 62208*n**2 - 1492992*n.
4*n*(n - 72)**3
Let -y**2/4 + 238*y - 56644 = 0. Calculate y.
476
Let 4*a**4 - 36*a**3 + 96*a**2 - 64*a = 0. Calculate a.
0, 1, 4
Solve -v**2 + 161*v - 318 = 0.
2, 159
Factor -28*j**2 - 232*j - 64.
-4*(j + 8)*(7*j + 2)
Factor -7*t**4 + 33*t**3 - 46*t**2 + 12*t + 8.
-(t - 2)**2*(t - 1)*(7*t + 2)
Suppose -4*h**5/5 + 56*h**4/5 - 4*h**3/5 - 736*h**2/5 + 304*h - 832/5 = 0. What is h?
-4, 1, 2, 13
Factor -5*q**3/2 + 10*q**2 + 5*q/2 - 10.
-5*(q - 4)*(q - 1)*(q + 1)/2
Factor -3*m**2/2 + 333*m/2 + 1053.
-3*(m - 117)*(m + 6)/2
Factor -p**2 - 10*p + 24.
-(p - 2)*(p + 12)
Factor -3*z**3/4 - 51*z**2/4 + 3*z + 51.
-3*(z - 2)*(z + 2)*(z + 17)/4
Factor -5*a**2 + 115*a + 870.
-5*(a - 29)*(a + 6)
Factor -m**2/4 + 565*m/2.
-m*(m - 1130)/4
Factor -18*v**3 + 456*v**2 + 310*v + 52.
-2*(v - 26)*(3*v + 1)**2
Find a such that -39*a**4/5 + 324*a**3/5 - 837*a**2/5 + 696*a/5 - 144/5 = 0.
4/13, 1, 3, 4
Solve -4*d**4/13 - 62