that -3*s**3 - 12*s**2 + 123*s - 108 = 0.
-9, 1, 4
Factor 2*p**3/3 - 164*p**2 - 330*p - 496/3.
2*(p - 248)*(p + 1)**2/3
Find a such that a**5 + 19*a**4 - 223*a**3 + 773*a**2 - 1074*a + 504 = 0.
-28, 1, 2, 3
Factor 3*n**2/5 - 3834*n/5 - 3837/5.
3*(n - 1279)*(n + 1)/5
Factor 3*u**3/7 - 585*u**2/7 - 84*u.
3*u*(u - 196)*(u + 1)/7
What is d in 3*d**3/2 + 21*d**2 + 99*d/2 = 0?
-11, -3, 0
Factor -l**5 + 52*l**4 - 100*l**3.
-l**3*(l - 50)*(l - 2)
Solve -3*d**2 - 39*d - 66 = 0.
-11, -2
Factor 5*q**2 + 25*q + 20.
5*(q + 1)*(q + 4)
Factor -p**3/6 + 149*p**2/6 - 289*p/2 + 429/2.
-(p - 143)*(p - 3)**2/6
Suppose 3*j**5/2 - 3*j**4 - 3*j**3/2 + 3*j**2 = 0. What is j?
-1, 0, 1, 2
Solve -52441*w**2/3 + 916*w/3 - 4/3 = 0.
2/229
Factor 2*c**2/7 + 442*c/7 - 444/7.
2*(c - 1)*(c + 222)/7
Factor 245*p**3 + 1785*p**2 + 3120*p + 1600.
5*(p + 5)*(7*p + 8)**2
Determine a, given that 3*a**5/5 - 42*a**4/5 - 9*a**3 = 0.
-1, 0, 15
Determine k, given that 2*k**4 + 26*k**3/3 - 56*k**2/3 + 8*k = 0.
-6, 0, 2/3, 1
Determine i, given that -5*i**4 - 25*i**3 - 25*i**2 + 25*i + 30 = 0.
-3, -2, -1, 1
Factor w**4/3 - 8*w**3 + 22*w**2 - 64*w/3 + 7.
(w - 21)*(w - 1)**3/3
What is l in -15*l**5/8 + 31*l**4/8 - 5*l**3/8 - 27*l**2/8 + 5*l/2 - 1/2 = 0?
-1, 2/5, 2/3, 1
Find q such that -3*q**4/5 - 9894*q**3/5 - 8137791*q**2/5 + 32669988*q/5 - 32709612/5 = 0.
-1651, 2
Factor -2*x**3/11 + 16*x**2/11 + 24*x/11 - 288/11.
-2*(x - 6)**2*(x + 4)/11
What is f in -3*f**3 + 72*f**2 - 195*f + 126 = 0?
1, 2, 21
Suppose 2*q**2 - 712*q + 63368 = 0. What is q?
178
Find n, given that 2*n**2/11 + 4*n = 0.
-22, 0
Factor 2*s**2/15 - 6*s/5 - 324/5.
2*(s - 27)*(s + 18)/15
Factor -4*c**2 + 268*c.
-4*c*(c - 67)
Factor c**2/2 + 175*c/3 - 39/2.
(c + 117)*(3*c - 1)/6
Solve -3*c**3 - 4290*c**2 - 4287*c = 0 for c.
-1429, -1, 0
Factor -2*l**3 - 122*l**2/9 + 28*l/9.
-2*l*(l + 7)*(9*l - 2)/9
Let g**4/2 - g**3 + g**2/2 = 0. What is g?
0, 1
Factor 2*v**2/7 - 52*v/7 + 330/7.
2*(v - 15)*(v - 11)/7
Factor v**5 + 28*v**4 + 160*v**3 - 1152*v**2 - 6912*v + 27648.
(v - 4)**2*(v + 12)**3
Factor 5*y**5 - 595*y**4 - 1210*y**3 - 10*y**2 + 1205*y + 605.
5*(y - 121)*(y - 1)*(y + 1)**3
Factor 5*a**2/3 + 990*a.
5*a*(a + 594)/3
Let 60*j**5 - 676*j**4 - 580*j**3 + 580*j**2 + 520*j + 96 = 0. Calculate j.
-1, -2/5, -1/3, 1, 12
Factor 3*b**2 - 192*b + 1197.
3*(b - 57)*(b - 7)
Determine v, given that -2*v**4/3 - 106*v**3/3 - 206*v**2/3 - 34*v = 0.
-51, -1, 0
Factor -h**5 - 4*h**4 - h**3 + 10*h**2 + 4*h - 8.
-(h - 1)**2*(h + 2)**3
Factor 2*o**2/7 - 6592*o/7 + 5431808/7.
2*(o - 1648)**2/7
What is r in -2*r**5/5 - 6*r**4/5 + 22*r**3/5 + 54*r**2/5 - 4*r - 48/5 = 0?
-4, -2, -1, 1, 3
Determine z, given that z**2/4 - 46*z - 185/4 = 0.
-1, 185
Factor -3*d**4 + 24*d**3 + 9*d**2 - 78*d + 48.
-3*(d - 8)*(d - 1)**2*(d + 2)
Let -s**2/6 + 5*s/6 - 2/3 = 0. Calculate s.
1, 4
Factor 3*s**2 + 237*s + 1110.
3*(s + 5)*(s + 74)
Find v such that 2*v**4 + 530*v**3 - 536*v**2 - 1064*v = 0.
-266, -1, 0, 2
Solve o**5/3 + 73*o**4/3 - 238*o**3 + 1952*o**2/3 - 1312*o/3 = 0.
-82, 0, 1, 4
Solve -q**2 - 50*q - 225 = 0 for q.
-45, -5
Factor -5*z**3 - 450*z**2 + 465*z + 910.
-5*(z - 2)*(z + 1)*(z + 91)
Factor 5*a**4 + 15*a**3 - 135*a**2 - 675*a - 810.
5*(a - 6)*(a + 3)**3
Solve -k**5 + 4*k**4 + 12*k**3 - 32*k**2 - 64*k = 0 for k.
-2, 0, 4
Factor -20*n**4 + 195*n**3 + 50*n**2.
-5*n**2*(n - 10)*(4*n + 1)
Determine f, given that -f**3 + 69*f**2 - 1587*f + 12167 = 0.
23
Determine n, given that -n**4/5 - 3*n**3 - 19*n**2/5 + 87*n/5 - 52/5 = 0.
-13, -4, 1
Factor 4*u**4 + 16*u**3 + 8*u**2 - 16*u - 12.
4*(u - 1)*(u + 1)**2*(u + 3)
Factor a**5/3 - a**3 + 2*a**2/3.
a**2*(a - 1)**2*(a + 2)/3
Let 5*m**4 - 275*m**3 + 3905*m**2 - 3105*m - 7290 = 0. What is m?
-1, 2, 27
Factor 3*w**4/5 - 111*w**3/5 + 594*w**2/5 - 228*w + 744/5.
3*(w - 31)*(w - 2)**3/5
Find d such that -2*d**3/7 - 2*d**2 - 30*d/7 - 18/7 = 0.
-3, -1
Factor -12*s**2/5 + 118*s - 98/5.
-2*(s - 49)*(6*s - 1)/5
Solve 6*b**5 - 166*b**4/5 + 34*b**3 + 102*b**2/5 - 40*b + 64/5 = 0.
-1, 8/15, 1, 4
Factor -18*j**4/7 - 276*j**3/7 - 1226*j**2/7 - 184*j - 56.
-2*(j + 7)**2*(3*j + 2)**2/7
Solve h**5 + 2905*h**4/3 + 2111203*h**3/9 + 232643*h**2/3 - 390104*h/3 + 234256/9 = 0.
-484, -1, 1/3
Factor -2*a**4 - 18*a**3 - 22*a**2 + 42*a.
-2*a*(a - 1)*(a + 3)*(a + 7)
Suppose 36*y**3/7 + 568*y**2/7 - 128*y/7 = 0. Calculate y.
-16, 0, 2/9
Solve k**5/4 - 99*k**4/4 + 1333*k**3/2 - 4915*k**2/2 - 28059*k/4 - 15463/4 = 0.
-1, 7, 47
Determine x, given that -2*x**5/3 - 40*x**4/9 + 62*x**3/3 - 148*x**2/9 - 8*x + 80/9 = 0.
-10, -2/3, 1, 2
Suppose -2*v**2 - 132*v - 256 = 0. Calculate v.
-64, -2
Determine a so that 2*a**3/9 - 2*a**2/9 - 16*a/9 + 8/3 = 0.
-3, 2
Factor w**3 - 5*w**2 - 38*w + 168.
(w - 7)*(w - 4)*(w + 6)
Determine s so that -3*s**2 - 297*s + 300 = 0.
-100, 1
Factor y**5/6 - y**4/3 - 2*y**3/3 + 4*y**2/3.
y**2*(y - 2)**2*(y + 2)/6
Factor -3*i**5/4 - 39*i**4/4 - 81*i**3/2 - 69*i**2 - 42*i.
-3*i*(i + 2)**3*(i + 7)/4
Factor 15*l**2 + 917*l + 122.
(l + 61)*(15*l + 2)
Factor -y**5/2 - 9*y**4 - 60*y**3 - 175*y**2 - 375*y/2.
-y*(y + 3)*(y + 5)**3/2
Suppose 7*a**2 - a = 0. Calculate a.
0, 1/7
Factor i**4 - 2*i**3 + 2*i - 1.
(i - 1)**3*(i + 1)
Find h such that -6*h**5/13 - 32*h**4/13 - 54*h**3/13 - 20*h**2/13 + 24*h/13 + 16/13 = 0.
-2, -1, 2/3
Find q, given that 4*q**3 + 103*q**2 + 74*q - 25 = 0.
-25, -1, 1/4
Find w such that 2*w**3 - 60*w**2/7 + 16*w/7 = 0.
0, 2/7, 4
Determine q, given that -15*q**5 + 219*q**4 + 1845*q**3 + 3477*q**2 + 2370*q + 504 = 0.
-4, -1, -2/5, 21
Let 8*v**5/3 + 114*v**4 + 4012*v**3/3 + 6118*v**2/3 - 8560*v + 15200/3 = 0. Calculate v.
-20, -19/4, 1
Factor -l**4/5 - 11*l**3 - 48*l**2/5 + 324*l/5.
-l*(l - 2)*(l + 3)*(l + 54)/5
Suppose -16*b**2/7 - 232*b/7 - 841/7 = 0. What is b?
-29/4
Let -3*s**4/4 - 261*s**3/4 - 2769*s**2/2 + 1584*s + 2904 = 0. What is s?
-44, -1, 2
Suppose -7*p**4 - 82*p**3 + 24*p**2 = 0. What is p?
-12, 0, 2/7
Factor -p**4/6 + p**3 - 3*p**2/2.
-p**2*(p - 3)**2/6
Let -q**3/9 + 16*q**2/9 - 77*q/9 + 98/9 = 0. What is q?
2, 7
Factor -4*p**2 + 432*p - 11664.
-4*(p - 54)**2
Determine g, given that 2*g**2 + 192*g - 1224 = 0.
-102, 6
Factor -4*x**4 + 180*x**3 + 772*x**2 + 588*x.
-4*x*(x - 49)*(x + 1)*(x + 3)
Factor 4*c**3 - 360*c**2 - 372*c + 728.
4*(c - 91)*(c - 1)*(c + 2)
Let -6*m**3/5 - 87*m**2/5 - 24*m - 39/5 = 0. Calculate m.
-13, -1, -1/2
Solve -42*u**5 + 74*u**4 - 10*u**3 - 34*u**2 + 12*u = 0 for u.
-2/3, 0, 3/7, 1
Solve -c**5 - 27*c**4 - 138*c**3 + 586*c**2 - 645*c + 225 = 0.
-15, 1
Factor 2*q**2/7 + 12*q - 176/7.
2*(q - 2)*(q + 44)/7
Factor 2*r**2 - 246*r + 1840.
2*(r - 115)*(r - 8)
Determine w so that -5*w**2 - 4550*w - 4545 = 0.
-909, -1
Factor 2*f**3/9 + 10*f**2/9 - 34*f/9 - 14/3.
2*(f - 3)*(f + 1)*(f + 7)/9
Factor -3*v**4/7 - 72*v**3/7 - 642*v**2/7 - 360*v - 525.
-3*(v + 5)**2*(v + 7)**2/7
Determine n, given that -5*n**5 + 62*n**4 - 219*n**3 + 118*n**2 + 284*n - 120 = 0.
-1, 2/5, 2, 5, 6
Factor q**5/9 - 43*q**4/9 + 440*q**3/9 + 484*q**2/9.
q**2*(q - 22)**2*(q + 1)/9
Factor -2*w**2/5 + 116*w/5 - 1682/5.
-2*(w - 29)**2/5
Let -15*f**4 + 40*f**3 + 85*f**2 - 10*f - 40 = 0. Calculate f.
-1, 2/3, 4
Let -20*y**4 + 325*y**3 - 80*y**2 = 0. What is y?
0, 1/4, 16
Factor 10*b**3/9 + 2*b**2/3 - 4*b/9.
2*b*(b + 1)*(5*b - 2)/9
Suppose -2*u**3/9 + 370*u**2/9 - 1096*u/9 + 728/9 = 0. What is u?
1, 2, 182
Factor -4*l**2 - 24*l - 20.
-4*(l + 1)*(l + 5)
Factor -s**3/4 + 87*s**2/8 - 101*s/4 - 123/8.
-(s - 41)*(s - 3)*(2*s + 1)/8
Factor -y**2/9 + 184*y/9 + 105.
-(y - 189)*(y + 5)/9
Suppose -5*l**3/4 + 85*l**2/4 - 155*l/4 + 75/4 = 0. Calculate l.
1, 15
Factor 2*z**3/3 + 6*z**2/5 - 4*z/15.
2*z*(z + 2)*(5*z - 1)/15
What is w in -3*w**4 + 12*w**3 - 3*w**2 - 18*w = 0?
-1, 0, 2, 3
Factor t**4/5 + 6*t**3/5 - 9*t**2/5 - 14*t/5.
t*(t - 2)*(t + 1)*(t + 7)/5
Factor o**4/2 - 3*o**3 + 4*o**2.
o**2*(o - 4)*(o - 2)/2
Determine p so that -4*p**2 + 108*p + 112 = 0.
-1, 28
Determine j, given that 3*j**2 + 1046*j/3 + 232/3 = 0.
-116, -2/9
Factor x**2/4 + x/2 - 255/4.
(x - 15)*(x + 17)/4
Factor -a**2/5 + a - 4/5.
-(a - 4)*(a - 1)/5
Factor -h**3/2 + 33*h**2/2 - 215*h/2 + 375/2.
-(h - 25)*(h - 5)*(h - 3)/2
Factor -r**5 - 11*r**4 - 40*r**3 - 44*r**2 + 32*r + 64.
-(r - 1)*(r + 2)**2*(r + 4)**2
Factor k**3 + 53*k**2 + 675*k - 729.
(k - 1)*(k + 27)**2
Let -21*l