*q**4 - 3*q**2 = 0. What is q?
-1, 0, 1
Factor 6*n**2 - 297*n - 150.
3*(n - 50)*(2*n + 1)
Solve -5*k**5 - 20*k**4 + 465*k**3 - 1480*k**2 + 1040*k = 0.
-13, 0, 1, 4
Factor -t**2/7 - 32*t/7 - 31/7.
-(t + 1)*(t + 31)/7
Factor -z**3 + 1323*z**2 - 435591*z - 1318707.
-(z - 663)**2*(z + 3)
Factor 2*d**2/15 + 148*d/15 + 938/15.
2*(d + 7)*(d + 67)/15
Determine f, given that -3*f**2 + 162*f = 0.
0, 54
Factor -c**3/7 + 33*c**2/7 - 146*c/7 + 24.
-(c - 28)*(c - 3)*(c - 2)/7
Find b such that -32*b**4/5 - 272*b**3/5 - 738*b**2/5 - 702*b/5 - 216/5 = 0.
-4, -3, -3/4
Factor 5*w**3 - 15*w - 10.
5*(w - 2)*(w + 1)**2
Find l such that 5*l**5 + 35*l**4 - 35*l**3 - 215*l**2 + 210*l = 0.
-7, -3, 0, 1, 2
Suppose 2*v**2 + 17*v/2 - 87/2 = 0. Calculate v.
-29/4, 3
Factor 5*y**4 + 5*y**3 - 5*y**2 - 5*y.
5*y*(y - 1)*(y + 1)**2
Factor y**4 + y**3 - 18*y**2 - 52*y - 40.
(y - 5)*(y + 2)**3
Factor 4*k**5 + 24*k**4 + 44*k**3 + 24*k**2.
4*k**2*(k + 1)*(k + 2)*(k + 3)
Factor -2*c**4/7 + 34*c**3/7 - 32*c**2/7.
-2*c**2*(c - 16)*(c - 1)/7
Factor 8*t**3 - 3966*t**2 - 16992*t - 4000.
2*(t - 500)*(t + 4)*(4*t + 1)
Factor -2*m**2/5 + 2022*m/5 - 4036/5.
-2*(m - 1009)*(m - 2)/5
Find c such that 2*c**5 - 29*c**4/3 - 77*c**3/3 + 156*c**2 - 304*c/3 - 64/3 = 0.
-4, -1/6, 1, 4
Factor 2450*i**2 + 36680*i + 137288.
2*(35*i + 262)**2
Determine s, given that -48*s**5 - 672*s**4 + 3315*s**3 - 2550*s**2 - 207*s + 162 = 0.
-18, -1/4, 1/4, 1, 3
Determine y so that -y**3/3 + 140*y**2/3 + 284*y/3 = 0.
-2, 0, 142
Suppose -2*k**2/15 + 332*k/15 - 1326/5 = 0. What is k?
13, 153
Factor k**3/5 - 28*k**2/5 - k/5 + 28/5.
(k - 28)*(k - 1)*(k + 1)/5
Factor -5*b**3/3 + 16*b**2 - 127*b/3 + 28.
-(b - 3)*(b - 1)*(5*b - 28)/3
Factor 2*f**2/7 + 4390*f/7 - 4392/7.
2*(f - 1)*(f + 2196)/7
Suppose 3*h**5 + 57*h**4 + 165*h**3 - 1089*h**2 = 0. Calculate h.
-11, 0, 3
Factor -4*o**4/7 - 16*o**3/7 + 20*o**2 + 600*o/7.
-4*o*(o - 6)*(o + 5)**2/7
Find k such that 5*k**2/4 + 25*k/4 - 125/2 = 0.
-10, 5
Determine b, given that -846*b**3 - 962*b**2 - 100*b + 16 = 0.
-1, -2/9, 4/47
Factor -4*d**4 - 16*d**3 + 104*d**2 + 240*d - 900.
-4*(d - 3)**2*(d + 5)**2
Factor 500*h**5 - 72900*h**4 + 3389640*h**3 - 42416968*h**2 - 354097788*h - 582993972.
4*(h + 3)**2*(5*h - 253)**3
Solve -25*w**3/4 - 5*w**2/2 - w/4 = 0.
-1/5, 0
Factor -4*k**2 + 216*k + 3484.
-4*(k - 67)*(k + 13)
Find j such that 4*j**4 - 32*j**3 + 75*j**2 - 34*j - 40 = 0.
-1/2, 2, 5/2, 4
Find q, given that -2*q**4 - 650*q**3/3 - 2206*q**2 - 2134*q/3 = 0.
-97, -11, -1/3, 0
Solve -2*z**2/9 + 70*z/9 - 52 = 0.
9, 26
Suppose 2*m**2 + 150*m + 1072 = 0. Calculate m.
-67, -8
Let -4*c**5 + 20*c**4 + 300*c**3 - 340*c**2 - 616*c = 0. Calculate c.
-7, -1, 0, 2, 11
Determine t, given that 1024*t**5/3 - 1408*t**4/3 - 404*t**3 - 134*t**2/3 - 4*t/3 = 0.
-1/2, -1/16, 0, 2
Suppose 3*a**3 + 135*a**2 + 258*a = 0. Calculate a.
-43, -2, 0
Let -u**5 - 9*u**4 - 14*u**3 + 34*u**2 + 15*u - 25 = 0. What is u?
-5, -1, 1
Factor u**3/4 - u**2/2 - 31*u/4 - 7.
(u - 7)*(u + 1)*(u + 4)/4
Solve -4*p**2 + 1616*p + 1620 = 0.
-1, 405
Factor -115*p**4 + 325*p**3 - 285*p**2 + 55*p + 20.
-5*(p - 1)**3*(23*p + 4)
Suppose 15*n**4/2 - 159*n**3/8 - 12*n**2 + 105*n/8 - 9/4 = 0. Calculate n.
-1, 1/4, 2/5, 3
Factor -2*h**2 + 3366*h - 6724.
-2*(h - 1681)*(h - 2)
Let -v**4/5 + 3*v**3/5 + 14*v**2/5 - 48*v/5 + 32/5 = 0. Calculate v.
-4, 1, 2, 4
Suppose i**4 + 20*i**3 + 65*i**2 + 10*i - 96 = 0. Calculate i.
-16, -3, -2, 1
Factor -h**3/4 + 105*h**2/4 + 575*h/2.
-h*(h - 115)*(h + 10)/4
Factor -z**3/3 + z - 2/3.
-(z - 1)**2*(z + 2)/3
Factor 5*s**3 + 45*s**2 + 75*s - 125.
5*(s - 1)*(s + 5)**2
Solve -4*q**3 - 1388*q**2 + 2788*q - 1396 = 0 for q.
-349, 1
Suppose 2*h**5 - 35*h**4/3 + 22*h**3 - 12*h**2 - 8*h/3 = 0. What is h?
-1/6, 0, 2
Find t such that 3*t**5/7 + 12*t**4/7 + 18*t**3/7 + 12*t**2/7 + 3*t/7 = 0.
-1, 0
Find q such that q**2/11 - 115*q/11 = 0.
0, 115
Factor 3*l**2 + l - 24.
(l + 3)*(3*l - 8)
Suppose 5*c**2/3 - 275*c/3 - 280/3 = 0. Calculate c.
-1, 56
Factor 2*k**3/3 + 40*k**2 + 78*k - 18252.
2*(k - 18)*(k + 39)**2/3
Factor 2*k**3/3 + 68*k**2 + 854*k - 148840/3.
2*(k - 20)*(k + 61)**2/3
Factor -5*u**2 + 1110*u.
-5*u*(u - 222)
Determine g so that g**2/2 - 24*g - 49/2 = 0.
-1, 49
Find x such that 5*x**5 + 10*x**4 + 5*x**3 = 0.
-1, 0
Solve 36*i**4 + 468*i**3 - 1032*i**2 + 2128*i/3 - 160 = 0 for i.
-15, 2/3
Suppose 3*k**5 - 21*k**4 + 48*k**3 - 36*k**2 = 0. Calculate k.
0, 2, 3
Factor -2*m**3 + 8*m**2 - 6*m.
-2*m*(m - 3)*(m - 1)
What is n in 10*n**3/17 - 894*n**2/17 + 2936*n/17 - 1032/17 = 0?
2/5, 3, 86
Find q such that 2*q**2/7 - 8*q/7 = 0.
0, 4
Suppose -u**2 - 5*u - 6 = 0. Calculate u.
-3, -2
Suppose -5*n**2/4 - 235*n/4 - 495 = 0. Calculate n.
-36, -11
Let 2*o**4 + 700*o**3 + 2088*o**2 + 2084*o + 694 = 0. What is o?
-347, -1
Factor -2*l**3/9 + 8*l/3 - 32/9.
-2*(l - 2)**2*(l + 4)/9
Factor -5*x**2 - 178*x - 105.
-(x + 35)*(5*x + 3)
Factor -2*y**5/11 + 86*y**4/11 - 166*y**3/11 + 82*y**2/11.
-2*y**2*(y - 41)*(y - 1)**2/11
Determine y so that -155*y**2 - 630*y - 40 = 0.
-4, -2/31
Find w such that w**5/8 - 111*w**4/8 - 225*w**3/8 - 113*w**2/8 = 0.
-1, 0, 113
Suppose 3*b**4 + 45*b**3 - 105*b**2 - 45*b + 102 = 0. Calculate b.
-17, -1, 1, 2
Find j, given that -3*j**3/2 - 45*j**2/2 - 72*j - 66 = 0.
-11, -2
Suppose -50421*a**5/4 + 663705*a**4/4 + 144795*a**3 + 39900*a**2 + 3240*a - 84 = 0. What is a?
-2/7, 1/49, 14
Let 4*v**2/7 + 124*v/7 - 1440/7 = 0. Calculate v.
-40, 9
Factor -z**3/4 - 31*z**2/2 - 961*z/4.
-z*(z + 31)**2/4
Suppose y**3/4 - 755*y**2/2 - 1511*y/4 = 0. What is y?
-1, 0, 1511
Determine y so that -4*y**5/7 + 4*y**4 + 120*y**3/7 - 488*y**2/7 + 524*y/7 - 180/7 = 0.
-5, 1, 9
Factor 2*q**2 - 146*q - 148.
2*(q - 74)*(q + 1)
Factor 4*r**4 - 34*r**3 + 106*r**2 - 144*r + 72.
2*(r - 3)*(r - 2)**2*(2*r - 3)
What is y in -2*y**2/13 + 94*y/13 - 492/13 = 0?
6, 41
Determine o, given that o**2 - 3190*o + 3189 = 0.
1, 3189
Factor 4*m**4/9 - 20*m**3 + 56*m**2/3 + 352*m/9.
4*m*(m - 44)*(m - 2)*(m + 1)/9
Factor -26*n**2/9 + 8*n + 128/9.
-2*(n - 4)*(13*n + 16)/9
Suppose k**3/4 + 41*k**2 - 669*k/4 + 126 = 0. Calculate k.
-168, 1, 3
Factor -4*h**3/3 - 364*h**2/3 - 8800*h/3 - 7744.
-4*(h + 3)*(h + 44)**2/3
Factor -2*u**4/3 + 8*u**3 + 26*u**2/3.
-2*u**2*(u - 13)*(u + 1)/3
Factor -2*z**2 - 54*z.
-2*z*(z + 27)
Factor -4*u**4 + 52*u**3 + 4*u**2 - 52*u.
-4*u*(u - 13)*(u - 1)*(u + 1)
Solve 5*j**4 - 15*j**2 + 10*j = 0.
-2, 0, 1
Solve l**4/5 + 19*l**3/5 + 10*l**2 + 32*l/5 = 0.
-16, -2, -1, 0
Find x such that 30*x**5 + 39*x**4 - 165*x**3 + 15*x**2 + 135*x - 54 = 0.
-3, -1, 1/2, 1, 6/5
Factor -2*j**4/5 - 4*j**3/5 + 2*j**2 + 12*j/5.
-2*j*(j - 2)*(j + 1)*(j + 3)/5
Factor 25*r**4 - 205*r**3 - 176*r**2 - 36*r.
r*(r - 9)*(5*r + 2)**2
Let -2*u**2/9 - 2*u + 44/9 = 0. What is u?
-11, 2
Factor 3*o**3/4 + 27*o**2/4 - 243*o/4 + 405/4.
3*(o - 3)**2*(o + 15)/4
Find o such that 90*o**5/11 - 102*o**4/11 - 218*o**3/11 + 158*o**2/11 + 112*o/11 - 72/11 = 0.
-1, 2/3, 9/5
Solve 3*u**5 - 135*u**4 + 738*u**3 - 1428*u**2 + 936*u = 0.
0, 2, 39
Find q, given that 27*q**2/5 - 4089*q + 4542/5 = 0.
2/9, 757
Suppose 3*y**3/2 + 13*y**2 + 32*y + 16 = 0. What is y?
-4, -2/3
Factor -a**5/3 + 518*a**4/3 - 89785*a**3/3 + 5266468*a**2/3 - 10265648*a/3 + 5088448/3.
-(a - 172)**3*(a - 1)**2/3
Factor -2*o**5/7 - 52*o**4/7 + 54*o**3/7.
-2*o**3*(o - 1)*(o + 27)/7
Factor -p**2/2 + 145*p - 289/2.
-(p - 289)*(p - 1)/2
Suppose -4*w**5/19 + 10*w**4/19 + 8*w**3/19 - 2*w**2 + 32*w/19 - 8/19 = 0. What is w?
-2, 1/2, 1, 2
Factor x**4 - 120*x**3 + 1831*x**2 - 8304*x + 6592.
(x - 103)*(x - 8)**2*(x - 1)
Factor 2*p**2/9 + 2*p/9 - 4/3.
2*(p - 2)*(p + 3)/9
Factor -3*r**2/4 - 1191*r/4 - 1179.
-3*(r + 4)*(r + 393)/4
Factor -n**4/4 + 189*n**3/2 - 35721*n**2/4.
-n**2*(n - 189)**2/4
Solve -2*o**3 + 54*o**2 + 116*o = 0.
-2, 0, 29
Factor 58*o**3 + 70*o**2 + 12*o.
2*o*(o + 1)*(29*o + 6)
Find k such that -k**2/3 - 16*k/3 - 20 = 0.
-10, -6
Factor -6*y**3 - 202*y**2 - 1444*y - 1248.
-2*(y + 1)*(y + 24)*(3*y + 26)
Solve 5*s**3 + 24065*s**2 + 28968240*s + 28944180 = 0 for s.
-2406, -1
Find c such that 3*c**2/4 + 843*c/2 + 236883/4 = 0.
-281
Suppose -30*l**3 - 326*l**2 - 676*l + 96 = 0. Calculate l.
-8, -3, 2/15
Factor -16*p**2 - 60*p + 16.
-4*(p + 4)*(4*p - 1)
Factor -t**5 + t**4 + 4*t**3 - 4*t**2.
-t**2*(t - 2)*(t - 1)*(t 