2)*(k + 15)**2/13
Solve -3*q**2 + 12*q + 135 = 0 for q.
-5, 9
Factor 2*q**3/5 - 1662*q**2/5.
2*q**2*(q - 831)/5
Suppose 4*n**3/7 + 6588*n**2/7 - 1884*n + 6596/7 = 0. What is n?
-1649, 1
Factor v**3/7 - 3996*v**2/7 + 5322672*v/7 - 2363266368/7.
(v - 1332)**3/7
Factor -z**5 + 7*z**4 - 3*z**3 - 23*z**2 + 32*z - 12.
-(z - 6)*(z - 1)**3*(z + 2)
Let -d**4/5 + 18*d**3/5 - 16*d**2/5 - 18*d/5 + 17/5 = 0. What is d?
-1, 1, 17
Determine w so that 2*w**2/3 + 35*w - 53/3 = 0.
-53, 1/2
Factor 2*s**2 - 22*s - 84.
2*(s - 14)*(s + 3)
Factor 12*f**4 + 285*f**3 - 696*f**2 + 156*f.
3*f*(f - 2)*(f + 26)*(4*f - 1)
Factor 4*q**3 + 2396*q**2 - 4*q - 2396.
4*(q - 1)*(q + 1)*(q + 599)
Find l such that 2541*l**5/5 - 198*l**4/5 - 36*l**3 + 24*l**2/5 = 0.
-2/7, 0, 2/11
Factor -2*u**3/15 + 22*u**2/3 + 464*u/15 + 472/15.
-2*(u - 59)*(u + 2)**2/15
Factor 3*x**2 + 549*x.
3*x*(x + 183)
Let 1875*x**5 + 5750*x**4 + 14200*x**3/3 + 4720*x**2/3 + 656*x/3 + 32/3 = 0. Calculate x.
-2, -2/5, -2/15
Factor -2*d**2/3 + 3520*d/3 - 1548800/3.
-2*(d - 880)**2/3
Let 3*s**5 + 30*s**4 + 90*s**3 + 120*s**2 + 75*s + 18 = 0. Calculate s.
-6, -1
Factor -y**4 + 78*y**3 - 1437*y**2 - 3440*y + 4800.
-(y - 40)**2*(y - 1)*(y + 3)
Determine q so that -2*q**5/5 - 4*q**4/5 + 112*q**3/5 + 68*q**2 + 338*q/5 + 112/5 = 0.
-7, -1, 8
Solve -2*z**3 + 40*z**2 + 150*z - 4500 = 0.
-10, 15
Factor 169*y**2/4 + 468*y + 1296.
(13*y + 72)**2/4
Factor h**2/2 - 336*h - 673/2.
(h - 673)*(h + 1)/2
Factor 2*m**3 + 18*m**2 + 12*m - 32.
2*(m - 1)*(m + 2)*(m + 8)
Determine u, given that 2*u**2 + 58*u - 60 = 0.
-30, 1
Find q such that -33*q**5 - 60*q**4 + 309*q**3 + 12*q**2 - 276*q + 48 = 0.
-4, -1, 2/11, 1, 2
Find a such that -5*a**3 - 205*a**2 - 1995*a + 2205 = 0.
-21, 1
Suppose s**4/2 - 19*s**3/2 + 83*s**2/2 + 19*s/2 - 42 = 0. What is s?
-1, 1, 7, 12
Find f such that 5*f**5 - 35*f**4 + 45*f**3 + 115*f**2 - 250*f + 120 = 0.
-2, 1, 3, 4
Let 2*m**4/11 - 58*m**3/11 - 68*m**2/11 + 232*m/11 + 240/11 = 0. What is m?
-2, -1, 2, 30
Factor 2*k**3 - 4*k**2 - 6*k.
2*k*(k - 3)*(k + 1)
Determine n, given that -n**4 - 10*n**3 + 13*n**2 + 22*n = 0.
-11, -1, 0, 2
Factor d**3 - 31*d**2/4 + 5*d + 7/4.
(d - 7)*(d - 1)*(4*d + 1)/4
Find i, given that -21*i**5 - 111*i**4 - 177*i**3 - 105*i**2 - 18*i = 0.
-3, -1, -2/7, 0
Factor -2*c**2/7 - 3364*c/7 - 1414562/7.
-2*(c + 841)**2/7
Factor -5*q**2 - 95*q + 1650.
-5*(q - 11)*(q + 30)
Let -4*m**3 - 68*m**2 + 1440*m - 3600 = 0. Calculate m.
-30, 3, 10
Factor -4*l**3 - 4*l**2 + 24*l.
-4*l*(l - 2)*(l + 3)
Determine z, given that 5*z**2 - 650*z + 11880 = 0.
22, 108
Factor 4*v**4/3 - 12760*v**3/3 + 10163332*v**2/3 + 6788320*v + 3396288.
4*(v - 1596)**2*(v + 1)**2/3
Factor -4*g**3 - 28*g**2 + 32*g.
-4*g*(g - 1)*(g + 8)
Factor i**2/6 - 43*i/3 + 1849/6.
(i - 43)**2/6
Factor 2*j**3/15 - 38*j**2/15 + 20*j/3 - 64/15.
2*(j - 16)*(j - 2)*(j - 1)/15
Factor 4*x**5 - 8*x**4 - 28*x**3 + 80*x**2 - 48*x.
4*x*(x - 2)**2*(x - 1)*(x + 3)
Suppose 4*n**2/7 + 408*n/7 + 10404/7 = 0. Calculate n.
-51
Factor -16*m**2/9 + 68*m/3 + 280/9.
-4*(m - 14)*(4*m + 5)/9
Factor 525*w**2 - 515*w - 10.
5*(w - 1)*(105*w + 2)
What is x in 2*x**4/5 + 16*x**3 + 126*x**2/5 - 3016*x + 14872/5 = 0?
-26, 1, 11
Factor 3*i**2/8.
3*i**2/8
Let -2*d**3/3 + 22*d**2/3 - 16*d - 24 = 0. Calculate d.
-1, 6
Factor -2*y**3/5 - 6*y**2 - 54*y/5 - 26/5.
-2*(y + 1)**2*(y + 13)/5
Let -2*j**3/11 + 10*j**2/11 - 12*j/11 = 0. What is j?
0, 2, 3
Find r, given that -4*r**2 - 392*r - 9604 = 0.
-49
Determine m so that 3*m**3/4 + 3*m**2 = 0.
-4, 0
Determine k so that -2*k**5/17 + 10*k**3/17 - 8*k/17 = 0.
-2, -1, 0, 1, 2
Factor p**3/3 - 14*p**2 + 160*p - 800/3.
(p - 20)**2*(p - 2)/3
Determine n so that -14*n**5/5 + 248*n**4/5 - 1272*n**3/5 + 1408*n**2/5 + 512*n/5 = 0.
-2/7, 0, 2, 8
Factor -4*t**3/17 + 18*t**2/17.
-2*t**2*(2*t - 9)/17
Determine o, given that 5*o**4 - 100*o**3 - 285*o**2 + 1480*o - 1100 = 0.
-5, 1, 2, 22
Factor 2*m**4 - 2*m**3 - 8*m**2 + 8*m.
2*m*(m - 2)*(m - 1)*(m + 2)
Let 5*w**3 - 840*w**2 - 845*w = 0. What is w?
-1, 0, 169
What is i in -2*i**5/3 - 62*i**4/9 + 206*i**3/9 - 14*i**2/3 - 200*i/9 + 104/9 = 0?
-13, -1, 2/3, 1, 2
Determine n, given that n**4/2 - 4*n**3 + 11*n**2 - 12*n + 9/2 = 0.
1, 3
Factor -4*c**4 + 1328*c**3 - 3956*c**2 + 2632*c.
-4*c*(c - 329)*(c - 2)*(c - 1)
Factor s**3/4 + 5*s**2/4.
s**2*(s + 5)/4
Factor -j**5 + 40*j**4 - 519*j**3 + 2272*j**2 - 1792*j.
-j*(j - 16)**2*(j - 7)*(j - 1)
What is k in 2*k**5/3 - 898*k**4/5 + 180626*k**3/15 + 7362*k**2 - 4860*k = 0?
-1, 0, 2/5, 135
Factor -y**3 - 225*y**2 + 226*y.
-y*(y - 1)*(y + 226)
Factor -2*l**5/19 + 34*l**4/19 - 90*l**3/19 + 86*l**2/19 - 28*l/19.
-2*l*(l - 14)*(l - 1)**3/19
Determine j, given that 2*j**3/9 + 22*j**2/3 + 64*j/9 = 0.
-32, -1, 0
Factor s**4/4 + 4*s**3 + 95*s**2/4 + 62*s + 60.
(s + 3)*(s + 4)**2*(s + 5)/4
Factor -3*b**5/4 - 132*b**4 - 31323*b**3/4 - 323205*b**2/2 - 300237*b - 146334.
-3*(b + 1)**2*(b + 58)**3/4
Find t, given that -2*t**2/7 - 284*t/7 - 1632/7 = 0.
-136, -6
Factor 2*l**3 + 101*l**2/3 + 520*l/3 + 848/3.
(l + 4)**2*(6*l + 53)/3
Let -2*q**3 + 3640*q**2 - 7274*q + 3636 = 0. Calculate q.
1, 1818
Suppose l**4 + 6*l**3 - 35*l**2 + 48*l - 20 = 0. What is l?
-10, 1, 2
Let -2*p**3/17 - 14*p**2/17 - 8*p/17 + 24/17 = 0. What is p?
-6, -2, 1
Factor 2*f**2/13 + 82*f/13 + 228/13.
2*(f + 3)*(f + 38)/13
Let 3*v**2/2 - 195*v/4 - 525/4 = 0. Calculate v.
-5/2, 35
What is n in -169*n**4 + 28847*n**3 + 8888*n**2 + 684*n = 0?
-2/13, 0, 171
Factor -z**2/6 - 7*z/3 - 15/2.
-(z + 5)*(z + 9)/6
Factor -h**2/3 + 14*h/3 - 40/3.
-(h - 10)*(h - 4)/3
Factor 20*s**3 + 3555*s**2 + 9655*s + 5250.
5*(s + 2)*(s + 175)*(4*s + 3)
Let -47*c**2/4 - 21*c + 5 = 0. What is c?
-2, 10/47
Determine a, given that a**4 - 26*a**3 + 217*a**2 - 660*a + 468 = 0.
1, 6, 13
Factor 3*k**5/2 - 237*k**4/2 + 693*k**3/2 - 687*k**2/2 + 114*k.
3*k*(k - 76)*(k - 1)**3/2
Let -x**4 + 7*x**3 + 3*x**2 - 63*x + 54 = 0. Calculate x.
-3, 1, 3, 6
Solve r**2/2 - 3255*r = 0 for r.
0, 6510
Factor -t**4/2 - 4*t**3/3 - 5*t**2/6.
-t**2*(t + 1)*(3*t + 5)/6
Let -3*u**5 + 3*u**4 + 9*u**3 - 15*u**2 + 6*u = 0. Calculate u.
-2, 0, 1
Find f such that 3*f**3 + 108*f**2 + 1071*f + 1734 = 0.
-17, -2
Find n, given that 2*n**4/3 - 4*n**3/3 - 26*n**2 + 16*n/3 + 280/3 = 0.
-5, -2, 2, 7
Let 2*p**5/3 + 22*p**4/3 - 2*p**3/3 - 22*p**2/3 = 0. Calculate p.
-11, -1, 0, 1
Find l such that 27*l**3/4 - 126*l**2 + 327*l/4 - 27/2 = 0.
1/3, 18
Factor -3*d**2/4 - 279*d/4 + 291.
-3*(d - 4)*(d + 97)/4
Factor 4*a**2/7 - 72*a/7 + 324/7.
4*(a - 9)**2/7
Factor -44*m**3 - 160*m**2 - 112*m + 64.
-4*(m + 2)**2*(11*m - 4)
Determine u so that -22*u**5/13 - 268*u**4/13 - 840*u**3/13 - 144*u**2/13 = 0.
-6, -2/11, 0
Find v, given that -2*v**4/5 + 4*v**3 - 10*v**2 = 0.
0, 5
Factor -2*u**3/11 + 4*u**2/11 + 10*u/11 - 12/11.
-2*(u - 3)*(u - 1)*(u + 2)/11
What is x in -4*x**5 + 8*x**4 + 64*x**3 - 152*x**2 - 60*x + 144 = 0?
-4, -1, 1, 3
Factor -3*v**2 + 30*v + 1377.
-3*(v - 27)*(v + 17)
What is w in -2*w**5/7 - 192*w**4/7 + 10*w**3/7 + 960*w**2/7 - 8*w/7 - 768/7 = 0?
-96, -2, -1, 1, 2
Solve -5*u**4/4 - 31*u**3/4 - u**2/2 + 6*u = 0.
-6, -1, 0, 4/5
Factor 118815*q**2 + 2136*q + 48/5.
3*(445*q + 4)**2/5
Let -2*g**5 + 16*g**4 - 10*g**3 - 76*g**2 - 48*g = 0. Calculate g.
-1, 0, 4, 6
Solve 4*h**4 - 2480*h**3 + 381908*h**2 + 773768*h = 0 for h.
-2, 0, 311
Factor -h**2/6 + 7*h/2 + 11/3.
-(h - 22)*(h + 1)/6
Suppose 6*p**5 - 2*p**4 - 6*p**3 + 2*p**2 = 0. What is p?
-1, 0, 1/3, 1
Factor 8*s**3/3 + 154*s**2 + 340*s/3 - 38.
2*(s + 1)*(s + 57)*(4*s - 1)/3
Solve 3*t**3/2 + 53*t**2/2 + 17*t = 0 for t.
-17, -2/3, 0
Factor -3*x**3/5 - 24*x**2 - 639*x/5 - 918/5.
-3*(x + 3)**2*(x + 34)/5
Suppose -l**3/2 + 11*l**2 - 161*l/2 + 196 = 0. What is l?
7, 8
Solve 2*t**3/3 + 50*t**2/3 + 44*t/3 - 32 = 0.
-24, -2, 1
Factor 8*n**3/7 - 8*n**2 + 50*n/7 - 12/7.
2*(n - 6)*(2*n - 1)**2/7
Factor -2*r**4 + 8*r**3 + 14*r**2 - 20*r.
-2*r*(r - 5)*(r - 1)*(r + 2)
Determine n so that -n**5/2 - 5*n**4 + 12*n**3 - n**2 - 23*n/2 + 6 = 0.
-12, -1, 1
Factor 2*f**3/7 - 334*f**2/7.
2*f**2*(f - 167)/7
Determine n so that -n**2 - 33*n - 90 = 0.
-30, -3
Solve -5*m**5/4 - 5*m**4/4 + 45*m**3/4 + 25*m**2/4 - 20*m - 15 = 0 for m.
-3, -1, 2
Determine x so that -195*x**4 - 550*x**3 + 1220*x**2 + 1240*x + 160 = 0.
-4, -2/3, -2/13, 2
Suppose -n**2/2 - 