6
Factor q**5/7 - q**4 + 15*q**3/7 - 13*q**2/7 + 4*q/7.
q*(q - 4)*(q - 1)**3/7
What is i in 75*i**3 + 55*i**2 - 20*i = 0?
-1, 0, 4/15
Solve -2*t**5/5 + 6*t**4/5 + 8*t**3/5 - 24*t**2/5 = 0 for t.
-2, 0, 2, 3
Factor 6*y**5/11 - 30*y**4/11 + 42*y**3/11 - 18*y**2/11.
6*y**2*(y - 3)*(y - 1)**2/11
Solve -3*l**2/5 - 5478*l/5 + 5481/5 = 0 for l.
-1827, 1
Factor 3*k**3/8 - 12*k**2 - 201*k/8 - 51/4.
3*(k - 34)*(k + 1)**2/8
Suppose u**3/4 - 19*u**2/4 + 43*u/2 - 26 = 0. What is u?
2, 4, 13
Factor 6*b**2 + 75*b/4 + 9/4.
3*(b + 3)*(8*b + 1)/4
Solve 4*l**4 + 144*l**3 + 1728*l**2 + 6912*l = 0.
-12, 0
Factor -3*f**2 + 243*f.
-3*f*(f - 81)
Let 16*a**5 + 428*a**4 + 4100*a**3 + 16372*a**2 + 21564*a - 6480 = 0. What is a?
-9, -5, -4, 1/4
Determine u, given that -2*u**4 - 10*u**3 + 38*u**2 + 130*u - 300 = 0.
-5, 2, 3
Factor 3*u**2 + 276*u + 5673.
3*(u + 31)*(u + 61)
Factor 3*m**3/5 - 30*m**2 + 1863*m/5.
3*m*(m - 27)*(m - 23)/5
Factor -g**3/3 - 5*g**2/3 + 22*g/3 - 16/3.
-(g - 2)*(g - 1)*(g + 8)/3
Factor 3*u**3 - 6*u**2 + 3*u.
3*u*(u - 1)**2
Factor p**3 - 14*p**2 + 40*p.
p*(p - 10)*(p - 4)
Factor 3*d**2 - 1470*d + 10143.
3*(d - 483)*(d - 7)
Factor -w**2/4 - 15*w/2 + 31/4.
-(w - 1)*(w + 31)/4
Suppose 4*k**5 + 28*k**4 - 28*k**3 - 316*k**2 + 24*k + 288 = 0. Calculate k.
-6, -4, -1, 1, 3
Factor 5*l**2 - 20*l - 225.
5*(l - 9)*(l + 5)
Factor i**2/8 + 107*i/8.
i*(i + 107)/8
Let -100*u**5 + 9880*u**4/3 + 21508*u**3/3 + 2288*u**2 - 1680*u = 0. Calculate u.
-6/5, 0, 1/3, 35
Solve -3*h**2 + 162*h - 159 = 0 for h.
1, 53
Find f, given that -5*f**3/4 - 75*f**2/4 + 565*f/2 + 300 = 0.
-24, -1, 10
Factor -3*m**5 + 6*m**4 + 9*m**3 - 12*m**2 - 12*m.
-3*m*(m - 2)**2*(m + 1)**2
Factor -4*o**3 - 452*o**2 + 464*o + 912.
-4*(o - 2)*(o + 1)*(o + 114)
Factor -b**2/2 - 4*b + 42.
-(b - 6)*(b + 14)/2
Factor -t**2/4 + 13*t/4 + 42.
-(t - 21)*(t + 8)/4
Factor -5*n**3 - 3335*n**2 - 3320*n + 6660.
-5*(n - 1)*(n + 2)*(n + 666)
Factor -a**3/2 - 279*a**2/2 - 25947*a/2 - 804357/2.
-(a + 93)**3/2
Factor 3*j**3 - 3*j**2 - 6*j.
3*j*(j - 2)*(j + 1)
Determine l so that 2*l**5/3 - 22*l**4/3 - 142*l**3/3 - 274*l**2/3 - 220*l/3 - 64/3 = 0.
-2, -1, 16
Let h**2/5 - 2*h/5 = 0. What is h?
0, 2
Factor -2*b**2 + 18*b - 16.
-2*(b - 8)*(b - 1)
Solve -y**2/4 - 27*y/4 - 18 = 0.
-24, -3
Suppose r**3/9 + 61*r**2/3 + 2632*r/3 - 44180/9 = 0. What is r?
-94, 5
Factor 2*c**5 - 20*c**4 + 18*c**3.
2*c**3*(c - 9)*(c - 1)
Determine y, given that -y**4 + 2*y**3 + 39*y**2 + 68*y + 32 = 0.
-4, -1, 8
Factor h**2/7 - 60*h/7 + 59/7.
(h - 59)*(h - 1)/7
Suppose i**5 - i**4 - 15*i**3 + i**2 + 38*i + 24 = 0. Calculate i.
-3, -1, 2, 4
Find u, given that 2*u**3/5 - 64*u**2 + 1864*u/5 - 2464/5 = 0.
2, 4, 154
Factor 4*o**3/5 + 304*o**2/5 + 60*o.
4*o*(o + 1)*(o + 75)/5
Factor 2*w**3 + 2*w**2 - 10*w + 6.
2*(w - 1)**2*(w + 3)
Let -2*s**5/11 + 20*s**3/11 - 40*s**2/11 + 30*s/11 - 8/11 = 0. Calculate s.
-4, 1
Find q such that 8*q**5 - 58*q**4 - 210*q**3 - 104*q**2 + 40*q = 0.
-2, -1, 0, 1/4, 10
Factor -6*n**3/5 - 300*n**2 + 3024*n/5.
-6*n*(n - 2)*(n + 252)/5
Factor 4*k**2/5 + 936*k/5 + 54756/5.
4*(k + 117)**2/5
Solve 3*u**3 + 282*u**2 - 585*u - 864 = 0.
-96, -1, 3
Factor 2*t**2/5 - 58*t/5 + 108/5.
2*(t - 27)*(t - 2)/5
Factor -3*a**3 - 3129*a**2 - 817449*a - 814323.
-3*(a + 1)*(a + 521)**2
Factor -3*m**5 - 27*m**4 - 90*m**3 - 138*m**2 - 99*m - 27.
-3*(m + 1)**3*(m + 3)**2
Factor 2*b**4 + 240*b**3 + 7664*b**2 + 27840*b + 26912.
2*(b + 2)**2*(b + 58)**2
Factor q**4 - 261*q**3 + 1793*q**2 - 3819*q + 2286.
(q - 254)*(q - 3)**2*(q - 1)
Find t such that 6*t**3 - 15*t**2 + 3*t + 6 = 0.
-1/2, 1, 2
Let z**2/8 + 141*z/8 - 54 = 0. What is z?
-144, 3
Suppose 2*b**5/5 + 208*b**4/5 + 608*b**3/5 + 196*b**2/5 - 122*b - 404/5 = 0. What is b?
-101, -2, -1, 1
Solve s**5/3 + 4*s**4/3 - 3*s**3 - 16*s**2/3 + 20*s/3 = 0.
-5, -2, 0, 1, 2
Solve -10*h**5/3 + 46*h**4 + 358*h**3/3 - 74*h**2/3 - 116*h - 64/3 = 0.
-2, -1, -1/5, 1, 16
Solve -25*x**5/3 + 140*x**4/3 - 47*x**3 - 74*x**2/3 - 8*x/3 = 0.
-1/5, 0, 2, 4
Solve -2*z**3 - 1046*z**2 - 4160*z - 4152 = 0.
-519, -2
Suppose 4*s**5 + 116*s**4 + 412*s**3 + 300*s**2 = 0. What is s?
-25, -3, -1, 0
Factor -5*w**2/4 + 3760*w - 2827520.
-5*(w - 1504)**2/4
Factor -s**3 - 167*s**2 - 6888*s + 7056.
-(s - 1)*(s + 84)**2
What is u in 2*u**3/7 - 54*u**2/7 + 48*u + 56 = 0?
-1, 14
Factor 2*c**2/9 - 22*c/3 - 656/9.
2*(c - 41)*(c + 8)/9
Find p, given that 3*p**4/2 + 98*p**3 + 57*p**2/2 - 258*p + 130 = 0.
-65, -2, 2/3, 1
Factor -2*x**2/9 - 16*x/3 + 962/9.
-2*(x - 13)*(x + 37)/9
Solve -3*c**5/5 - 18*c**4/5 + 9*c**3/5 + 48*c**2/5 - 36*c/5 = 0.
-6, -2, 0, 1
Factor 2*y**2/7 + 2*y + 20/7.
2*(y + 2)*(y + 5)/7
Suppose 3*q**3/4 + 261*q**2/4 + 1386*q - 1452 = 0. What is q?
-44, 1
Suppose -2*c**2/7 - 44*c/7 - 242/7 = 0. What is c?
-11
Solve 3*f**2 - 3*f - 18 = 0 for f.
-2, 3
Factor 5*t**4 + 50*t**3 + 105*t**2.
5*t**2*(t + 3)*(t + 7)
Factor -y**2 + 11*y - 18.
-(y - 9)*(y - 2)
Factor 4*z**4 + 32*z**3 + 44*z**2 - 80*z.
4*z*(z - 1)*(z + 4)*(z + 5)
Let 2*d**3/3 - 820*d**2/3 + 83224*d/3 + 169744/3 = 0. What is d?
-2, 206
Determine n, given that 2*n**5/3 + 34*n**4/7 + 22*n**3/3 - 62*n**2/21 - 8*n - 40/21 = 0.
-5, -2, -1, -2/7, 1
Factor 2*s**2/9 + 176*s/3 + 3872.
2*(s + 132)**2/9
Let -2*h**5/5 - 2*h**4 + 106*h**3/5 + 34*h**2/5 - 56*h - 40 = 0. Calculate h.
-10, -1, 2, 5
Determine f so that -f**2/3 + 31*f/3 + 32/3 = 0.
-1, 32
Let q**5/4 - 49*q**4/2 + 1583*q**3/2 - 8118*q**2 - 42471*q/4 + 35937/2 = 0. Calculate q.
-2, 1, 33
Determine m so that -156*m**3/7 - 50*m**2/7 - 4*m/7 = 0.
-1/6, -2/13, 0
What is d in 2*d**4 - 38*d**3 + 34*d**2 + 38*d - 36 = 0?
-1, 1, 18
Solve 2*a**5 - 1550*a**4 + 297974*a**3 + 907918*a**2 + 6224*a - 1210568 = 0 for a.
-2, 1, 389
Determine t, given that -3*t**2 + 681*t + 684 = 0.
-1, 228
Determine r, given that -r**2 - 226*r - 12769 = 0.
-113
Factor j**2/3 - 64*j - 603.
(j - 201)*(j + 9)/3
Find w such that -2*w**4/5 + 2*w**3 - 2*w**2/5 - 42*w/5 + 36/5 = 0.
-2, 1, 3
Find r such that -5*r**4/2 - 75*r**3/2 - 165*r**2/2 + 575*r/2 - 165 = 0.
-11, -6, 1
Solve 2*k**3/3 - 2*k**2 + 2*k - 2/3 = 0 for k.
1
Factor -3*p**2/2 - 39*p/2 + 21.
-3*(p - 1)*(p + 14)/2
Factor 60835*p**4 - 145475*p**3 + 50715*p**2 - 6345*p + 270.
5*(p - 2)*(23*p - 3)**3
Factor -2*a**3/11 - 2*a**2 - 62*a/11 - 42/11.
-2*(a + 1)*(a + 3)*(a + 7)/11
What is x in 5*x**3 + 585*x**2 + 17400*x + 16820 = 0?
-58, -1
Let 9*r**2/8 + 43*r/2 + 45/2 = 0. What is r?
-18, -10/9
Factor -2*z**2/7 + 50*z/7.
-2*z*(z - 25)/7
Factor j**4 + 147*j**3 - 1380*j**2 + 3728*j - 2496.
(j - 4)**2*(j - 1)*(j + 156)
Solve 7*x**5 + 40*x**4 - 5*x**3 - 170*x**2 - 92*x + 40 = 0.
-5, -2, -1, 2/7, 2
Let 4*y**2 + 108*y - 2992 = 0. Calculate y.
-44, 17
What is i in 10*i**2 - 66*i - 28 = 0?
-2/5, 7
Solve b**2/2 + 33*b + 65/2 = 0 for b.
-65, -1
Factor 2*l**3/9 + 8*l**2/3 + 6*l - 80/9.
2*(l - 1)*(l + 5)*(l + 8)/9
Factor -x**2 + 98*x - 1105.
-(x - 85)*(x - 13)
Factor 2*i**2/5 - 38*i/5 + 24.
2*(i - 15)*(i - 4)/5
Factor 3*c**2 - 3*c - 60.
3*(c - 5)*(c + 4)
Let a**3/4 + 49*a**2/4 + 35*a + 23 = 0. Calculate a.
-46, -2, -1
Determine g so that 2*g**5/9 + 16*g**4 + 1238*g**3/3 + 39908*g**2/9 + 51304*g/3 + 21296 = 0.
-22, -3
Factor -3*k**2 + 123*k + 396.
-3*(k - 44)*(k + 3)
Let -3*p**2/2 + 54 = 0. What is p?
-6, 6
Find n, given that -4*n**3 - 1444*n**2 - 1432*n + 2880 = 0.
-360, -2, 1
Find g such that -g**5/4 + 7*g**4/4 - 19*g**3/4 + 25*g**2/4 - 4*g + 1 = 0.
1, 2
Factor -2*y**4/13 - 498*y**3/13.
-2*y**3*(y + 249)/13
Determine l so that -l**2 + 4*l - 3 = 0.
1, 3
Solve 5*l**3/3 - 17525*l**2/3 + 15347515*l/3 + 15365045/3 = 0.
-1, 1753
Suppose -5*y**2 - 4050*y + 12195 = 0. What is y?
-813, 3
Find t, given that -4*t**3 - 20*t**2 + 184*t - 160 = 0.
-10, 1, 4
What is h in -12*h**3/19 - 10*h**2/19 = 0?
-5/6, 0
Factor -5*u**3 - 195*u**2 - 1800*u + 2000.
-5*(u - 1)*(u + 20)**2
Factor 2*d**5/11 + 8*d**4/11 + 6*d**3/11.
2*d**3*(d + 1)*(d + 3)/11
Find j, given that j**5/2 + 15*j**4/2 - 3*j**3/2 - 47*j**2/2 - 15*j = 0.
-15, -1, 0, 2
Factor l**4 - 11*l**3 + 164*l + 224.
(l - 8)*(l - 7)*(l + 2)**2
Determine o, given that -o**3/3 + 11*o**2/3 + 14*o/3 - 8 = 0.
-2, 1, 12
Factor 2*v**2/3 + 5636*v/3 + 3970562/3.
2*(v + 1409)**2/3
Solve j**4/8 - 15*j**3/8 + 13*j**2/8 + 15*j/8 - 7/4 = 0.
-1, 1, 14
Determine b so that -5*b**4 - 5*b**3 + 15*b**2/4 + 5*b/2 - 