*4 + 460*p**3 + 1624*p**2/3 - 14896*p - 32928 = 0.
-3, 14
Factor -16*t**2 + 20*t + 36.
-4*(t + 1)*(4*t - 9)
Factor 2*c**4 - 112*c**3.
2*c**3*(c - 56)
Factor -3*o**5 - 18*o**4 + 45*o**3 - 24*o**2.
-3*o**2*(o - 1)**2*(o + 8)
Factor -2*u**2/11 + 58*u/11 - 108/11.
-2*(u - 27)*(u - 2)/11
Factor 3*m**2/7 - 1101*m/7 - 1104/7.
3*(m - 368)*(m + 1)/7
Solve -x**3/3 + 29*x**2/3 - 81*x + 165 = 0.
3, 11, 15
Factor m**5/7 + m**4/7 - 12*m**3/7 + 4*m**2/7 + 16*m/7.
m*(m - 2)**2*(m + 1)*(m + 4)/7
Factor 3*s**2 + 9*s - 84.
3*(s - 4)*(s + 7)
Factor -4*c**3/3 + 8*c**2/3 + 12*c - 24.
-4*(c - 3)*(c - 2)*(c + 3)/3
Suppose 3*l**2 - 1572*l + 1569 = 0. Calculate l.
1, 523
Factor 2*r**3/3 - 3778*r**2 + 7136642*r - 13481116738/3.
2*(r - 1889)**3/3
Let 18*y**4 - 21*y**3 - 69*y**2 + 84*y - 12 = 0. What is y?
-2, 1/6, 1, 2
Factor 4*g**4 - 64*g**3 + 116*g**2 - 56*g.
4*g*(g - 14)*(g - 1)**2
Let 243*p**5/2 + 513*p**4/2 - 57*p**3 - 144*p**2 + 48*p = 0. What is p?
-2, -1, 0, 4/9
Find m such that -2*m**4/3 - 4*m**3/3 + 38*m**2 - 36*m = 0.
-9, 0, 1, 6
Let -5*p**3 + 15*p**2 + 20*p = 0. What is p?
-1, 0, 4
Factor 27*l**3 - 16290*l**2 + 21684*l - 7224.
3*(l - 602)*(3*l - 2)**2
Solve -2*a**4/11 + 80*a**3/11 + 82*a**2/11 = 0.
-1, 0, 41
Factor 3*p**3 + 129*p**2 + 957*p - 1089.
3*(p - 1)*(p + 11)*(p + 33)
Factor 2*s**2/5 - 124*s + 610.
2*(s - 305)*(s - 5)/5
Factor 2*k**5/3 - 59*k**4/3 + 208*k**3 - 918*k**2 + 1458*k - 729.
(k - 9)**3*(k - 1)*(2*k - 3)/3
Factor -3*j**3/2 + 111*j**2/2 - 540*j + 486.
-3*(j - 18)**2*(j - 1)/2
Factor 5*b**4 + 285*b**3 + 3610*b**2 - 12900*b + 9000.
5*(b - 2)*(b - 1)*(b + 30)**2
Factor -2*z**2/3 - 36*z - 400/3.
-2*(z + 4)*(z + 50)/3
Factor 3*i**3/7 + 99*i**2/7 - 678*i/7 + 936/7.
3*(i - 4)*(i - 2)*(i + 39)/7
Solve 11*r**5/2 - 12*r**4 - 20*r**3 + 15*r**2 + 29*r/2 - 3 = 0 for r.
-1, 2/11, 1, 3
Suppose 2*j**4/3 - 1434*j**3 + 1028178*j**2 - 245734542*j = 0. What is j?
0, 717
Find o such that o**5/4 - o**4 + o**3 + o**2/2 - 5*o/4 + 1/2 = 0.
-1, 1, 2
What is a in -a**5/2 + 6*a**4 - 33*a**3/2 - 19*a**2 + 66*a - 36 = 0?
-2, 1, 6
Let 25*t**2 + 205*t = 0. What is t?
-41/5, 0
Find m such that -180*m**5/7 + 1167*m**4/7 - 204*m**3 + 471*m**2/7 - 30*m/7 = 0.
0, 1/12, 2/5, 1, 5
Solve 3*x**4/7 - 30*x**3/7 + 87*x**2/7 - 60*x/7 = 0 for x.
0, 1, 4, 5
Factor -y**4 + 29*y**3 - 143*y**2 + 115*y.
-y*(y - 23)*(y - 5)*(y - 1)
Determine v, given that -8*v**2 + 84*v - 40 = 0.
1/2, 10
Suppose 3*p**5/8 - 7*p**4/8 + 3*p**3/8 + 3*p**2/8 - p/4 = 0. What is p?
-2/3, 0, 1
Determine q so that -3*q**3 + 24*q**2 + 33*q - 54 = 0.
-2, 1, 9
Factor -4*w**2 - 452*w - 1320.
-4*(w + 3)*(w + 110)
Factor b**2/6 + 37*b/3 + 1369/6.
(b + 37)**2/6
Factor i**4/6 + 31*i**3/6 + 43*i**2/6 - 157*i/2 - 174.
(i - 4)*(i + 3)**2*(i + 29)/6
What is g in -3*g**4 + 69*g**3 + 993*g**2 - 69*g - 990 = 0?
-10, -1, 1, 33
Factor 2*n**5 + 128*n**4 + 1032*n**3 + 2348*n**2 + 2102*n + 660.
2*(n + 1)**3*(n + 6)*(n + 55)
Solve 10*v**4/3 + 902*v**3/9 - 2914*v**2/9 - 106*v/3 + 44 = 0.
-33, -2/5, 1/3, 3
Factor -2*v**2 - 32*v - 30.
-2*(v + 1)*(v + 15)
Factor -2*f**4/5 + 1352*f**3/5 - 220232*f**2/5 - 2790528*f/5 - 8520192/5.
-2*(f - 344)**2*(f + 6)**2/5
Factor 4*s**3/3 + 24*s**2 - 1152*s + 8064.
4*(s - 12)**2*(s + 42)/3
Determine i so that 4*i**3 + 28*i**2 = 0.
-7, 0
Factor 2*k**2/9 + 848*k/9 + 89888/9.
2*(k + 212)**2/9
Suppose -2*f**3/7 + 5856*f**2/7 - 5854*f/7 = 0. Calculate f.
0, 1, 2927
Factor 224*j**4/3 + 208*j**3/5 + 34*j**2/5 + 4*j/15.
2*j*(4*j + 1)**2*(35*j + 2)/15
Factor -3*l**2/7 - 240*l/7.
-3*l*(l + 80)/7
Factor -2*s**4/5 + 1808*s**3/5 + 3622*s**2/5 + 1812*s/5.
-2*s*(s - 906)*(s + 1)**2/5
Let -245*v**5 + 81298*v**4 + 13980*v**3 - 11944*v**2 - 2656*v = 0. Calculate v.
-2/7, 0, 2/5, 332
Let -14*o**5 - 66*o**4 + 34*o**3 + 234*o**2 - 236*o + 48 = 0. Calculate o.
-4, -3, 2/7, 1
Solve -2*d**3 - 20*d**2 + 78*d = 0.
-13, 0, 3
Suppose -o**2/5 - 11*o/5 - 2 = 0. What is o?
-10, -1
Factor -o**4/5 - 3*o**3 + 54*o**2/5.
-o**2*(o - 3)*(o + 18)/5
Determine v, given that 2*v**4/3 + 4*v**3/3 = 0.
-2, 0
Factor 3*b**3 + 96*b**2 + 1023*b + 3630.
3*(b + 10)*(b + 11)**2
Suppose -g**3/2 - 166*g**2 + 2019*g/2 - 1521 = 0. What is g?
-338, 3
Let -5*y**5 - 7*y**4 + 13*y**3 + 11*y**2 - 8*y - 4 = 0. Calculate y.
-2, -1, -2/5, 1
What is c in 5*c**5 - 205*c**4 + 2200*c**3 - 2000*c**2 = 0?
0, 1, 20
Find t, given that -2*t**3 - 5238*t**2 - 4572774*t - 1330677234 = 0.
-873
Let z**3/4 + 85*z**2 = 0. Calculate z.
-340, 0
Determine v, given that 7*v**3/9 - 7087*v**2/9 + 1795288*v/9 - 256036/3 = 0.
3/7, 506
Determine b so that 5*b**2 + 3810*b + 725805 = 0.
-381
Solve 2*f**2/9 - 40*f/9 + 64/3 = 0.
8, 12
Determine y so that 2*y**2/5 - 12*y + 90 = 0.
15
Determine n, given that 3*n**2 + 27*n - 66 = 0.
-11, 2
Determine j so that -12*j**4 + 104*j**3 + 288*j**2 - 2856*j - 980 = 0.
-5, -1/3, 7
Let -r**3/5 + 5*r**2 - 43*r/5 - 69/5 = 0. Calculate r.
-1, 3, 23
Factor 4*u**5 - 348*u**4 + 2312*u**3 - 5840*u**2 + 6432*u - 2560.
4*(u - 80)*(u - 2)**3*(u - 1)
Factor 5*w**2 - 2520*w + 317520.
5*(w - 252)**2
Determine b, given that 4*b**2 - 72*b + 320 = 0.
8, 10
Factor 6*a**3/7 + 38910*a**2/7 + 63102288*a/7 + 63063384/7.
6*(a + 1)*(a + 3242)**2/7
Factor 4*b**3 + 340*b**2 - 4*b - 340.
4*(b - 1)*(b + 1)*(b + 85)
Let -8*q**5/9 - 82*q**4/9 - 284*q**3/9 - 386*q**2/9 - 208*q/9 - 32/9 = 0. Calculate q.
-4, -1, -1/4
Factor -2*v**4 + 4*v**3 + 64*v**2 - 192*v.
-2*v*(v - 4)**2*(v + 6)
Let q**5/2 - 25*q**4/8 - 31*q**3/4 + 41*q**2/8 + 29*q/4 - 2 = 0. Calculate q.
-2, -1, 1/4, 1, 8
Factor -9*u**4 - 93*u**3 - 22*u**2 + 84*u + 40.
-(u - 1)*(u + 10)*(3*u + 2)**2
Suppose -2*a**5/11 - 10*a**4/11 + 18*a**3/11 + 34*a**2/11 - 16*a/11 - 24/11 = 0. What is a?
-6, -1, 1, 2
Let -2*w**3 + 144*w**2 + 2*w - 144 = 0. What is w?
-1, 1, 72
What is z in -2*z**4/5 - 608*z**3/5 - 46812*z**2/5 - 91808*z/5 - 45602/5 = 0?
-151, -1
Find n such that -4*n**2 - 1896*n - 1892 = 0.
-473, -1
Factor n**5 + 65*n**4 + 1203*n**3 + 4671*n**2 + 2160*n - 8100.
(n - 1)*(n + 3)**2*(n + 30)**2
Find y such that -5*y**2 + 735*y - 1450 = 0.
2, 145
Suppose x**2/5 + 456*x/5 - 457/5 = 0. What is x?
-457, 1
Factor z**5 + 10*z**4/3 + 8*z**3/3 - 2*z**2 - 11*z/3 - 4/3.
(z - 1)*(z + 1)**3*(3*z + 4)/3
Factor 5*u**4 + 60*u**3 + 105*u**2 - 490*u.
5*u*(u - 2)*(u + 7)**2
Find j such that -j**5/4 - 47*j**4/4 + 13*j**3 + 47*j**2 - 48*j = 0.
-48, -2, 0, 1, 2
Let -7*n**2/6 + 117*n - 100/3 = 0. What is n?
2/7, 100
Determine l so that 2*l**4 - 8*l**3 - 6*l**2 + 20*l + 16 = 0.
-1, 2, 4
Suppose j**3/12 - j**2/3 - j/12 + 1/3 = 0. Calculate j.
-1, 1, 4
Let 9*g**4 + 24*g**3 - 3*g**2 - 42*g - 24 = 0. Calculate g.
-2, -1, 4/3
Suppose -6*q**5/11 - 34*q**4/11 + 114*q**3/11 + 2*q**2/11 - 108*q/11 + 32/11 = 0. What is q?
-8, -1, 1/3, 1, 2
Factor q**4 - 5*q**3 - 8*q**2 + 12*q.
q*(q - 6)*(q - 1)*(q + 2)
Suppose 7*g**2/5 + 12*g/5 - 4/5 = 0. What is g?
-2, 2/7
Factor -o**2/2 - 650*o - 211250.
-(o + 650)**2/2
Factor 8*j**3/13 + 58*j**2/13 + 14*j/13.
2*j*(j + 7)*(4*j + 1)/13
Factor 75*y**4 + 130*y**3 - 265*y**2 + 60*y.
5*y*(y - 1)*(y + 3)*(15*y - 4)
Factor z**2/8 - 463*z/4 - 232.
(z - 928)*(z + 2)/8
Solve 2*u**4 - 6*u**2 + 4*u = 0.
-2, 0, 1
Factor -3*u**3 + 24*u**2 - 60*u + 48.
-3*(u - 4)*(u - 2)**2
Solve -d**4/6 - 10*d**3/3 + 24*d**2 - 152*d/3 + 104/3 = 0.
-26, 2
Factor 2*b**3 + 18*b**2 + 52*b + 48.
2*(b + 2)*(b + 3)*(b + 4)
Factor 3*k**2/7 + 6168*k/7 + 3170352/7.
3*(k + 1028)**2/7
Factor d**5 - 17*d**4 - 36*d**3 + 272*d**2 + 896*d + 720.
(d - 18)*(d - 5)*(d + 2)**3
Determine i, given that 4*i**4 - 4*i**3 - 132*i**2 - 236*i - 112 = 0.
-4, -1, 7
Factor -3*w**2 + 18*w.
-3*w*(w - 6)
Factor 4*h**2 - 1496*h + 139876.
4*(h - 187)**2
Factor b**2/2 - 61*b/2 + 30.
(b - 60)*(b - 1)/2
Factor -2*j**4/7 + 172*j**3 - 178778*j**2/7 - 104232*j - 734472/7.
-2*(j - 303)**2*(j + 2)**2/7
Factor -25*a**3 - 2030*a**2 + 1636*a - 328.
-(a + 82)*(5*a - 2)**2
Determine i so that i**3/8 + 15*i**2/8 - 13*i/2 + 9/2 = 0.
-18, 1, 2
Factor -l**5/3 + 26*l**4 - 507*l**3.
-l**3*(l - 39)**2/3
Factor b**5 - 4*b**4 + 4*b**3 + 2*b**2 - 5*b + 2.
(b - 2)*(b - 1)**3*(b + 1)
Factor 6*r**2/5 - 66*r/5.
6*r*(r - 11)/5
Suppose 3*f**2/7 + 2508*f/7 + 524172/7 = 0. Calculate f.
-418
Let -2*j**3 + 8*j = 0. What is j?
-2, 0, 2
What is k in k**2 + 142*k - 735 = 0?
-147, 5
Solve 4*k**2 - 36*k - 760 = 0 for k.
-10, 19
Determin