Determine v, given that -4*v**5 + 12*v**4 + 24*v**3 - 32*v**2 = 0.
-2, 0, 1, 4
Solve q**5 - 16*q**4 + 1024*q**2 - 4096*q = 0 for q.
-8, 0, 8
Find g, given that 3*g**4/2 - 93*g**3/2 + 120*g**2 + 168*g = 0.
-1, 0, 4, 28
What is f in 7*f**5 + 54*f**4 - 219*f**3 - 1202*f**2 + 360*f = 0?
-9, -4, 0, 2/7, 5
Factor -16*h**5 - 38*h**4 - 28*h**3 - 6*h**2.
-2*h**2*(h + 1)**2*(8*h + 3)
Factor 5*j**3 + 260*j**2 + 980*j + 960.
5*(j + 2)**2*(j + 48)
Find c, given that -4*c**3 - 60*c**2 - 104*c = 0.
-13, -2, 0
Suppose 2*t**4 - 42*t**3 + 262*t**2 - 342*t - 648 = 0. What is t?
-1, 4, 9
Suppose -25*z**5/6 + 270*z**4 + 1247*z**3/2 - 1882*z**2/3 + 134*z = 0. What is z?
-3, 0, 2/5, 67
Suppose 3*g**3/8 - 39*g**2/8 + 39*g/4 + 42 = 0. What is g?
-2, 7, 8
Factor x**4 + x**3 - 16*x**2 - 16*x.
x*(x - 4)*(x + 1)*(x + 4)
Let 3*d**4 + 29*d**3 - 185*d**2 - 29*d + 182 = 0. Calculate d.
-14, -1, 1, 13/3
Determine o so that -4*o**2 - 424*o - 11236 = 0.
-53
Solve 3*m**2/2 - 402*m + 26934 = 0 for m.
134
What is a in 5*a**2 + 40*a = 0?
-8, 0
Factor -3*u**3 - 57*u**2 + 264*u - 276.
-3*(u - 2)**2*(u + 23)
Suppose -j**2/6 + 13*j/3 + 9/2 = 0. Calculate j.
-1, 27
Solve -2*y**3 - 166*y**2 - 318*y + 486 = 0 for y.
-81, -3, 1
Determine u so that -7*u**4/4 - 9*u**3/2 + 9*u**2/4 = 0.
-3, 0, 3/7
Solve -150*f**4 + 459*f**3 - 477*f**2 + 177*f - 9 = 0 for f.
3/50, 1
Determine x, given that 168*x**3 + 68*x**2 - 88*x + 12 = 0.
-1, 1/6, 3/7
Factor -2*p**2 + 128*p + 2370.
-2*(p - 79)*(p + 15)
Factor -h**2/3 - 10*h/3 - 16/3.
-(h + 2)*(h + 8)/3
Find h such that -4*h**2 + 44*h - 96 = 0.
3, 8
Solve 2*s**3 - 20*s**2 + 34*s - 16 = 0 for s.
1, 8
Find a, given that 9*a**5/2 + 7*a**4/2 - 29*a**3/2 - 3*a**2/2 + 10*a - 2 = 0.
-2, -1, 2/9, 1
Let z**3/5 - 23*z**2/5 - 108*z/5 = 0. Calculate z.
-4, 0, 27
Factor -3*h**3/5 + 99*h**2/5 + 102*h/5.
-3*h*(h - 34)*(h + 1)/5
Factor -5*n**5 - 95*n**4 - 575*n**3 - 1205*n**2 - 1040*n - 320.
-5*(n + 1)**3*(n + 8)**2
Determine c so that 3*c**3/2 - 291*c**2/2 + 141*c + 288 = 0.
-1, 2, 96
What is t in 4*t**3 - 124*t**2 + 1260*t - 4212 = 0?
9, 13
Suppose 5*w**4/2 + w**3/2 - 15*w**2/2 + 7*w/2 + 1 = 0. What is w?
-2, -1/5, 1
Let 3*x**3 - 6*x**2 - 45*x = 0. Calculate x.
-3, 0, 5
Determine u so that 2*u**2 - 4260*u + 2268450 = 0.
1065
Factor 100*u**5/3 - 30*u**4 - 13*u**3/4 - u**2/12.
u**2*(u - 1)*(20*u + 1)**2/12
Find l, given that 2*l**4/7 + 34*l**3/7 - 36*l**2/7 = 0.
-18, 0, 1
Determine r, given that -3*r**4 + 15*r**3 + 21*r**2 - 123*r + 90 = 0.
-3, 1, 2, 5
Determine n, given that -4*n**3 + 204*n**2 - 3420*n + 18900 = 0.
15, 21
Factor 3*u**5/5 + 6*u**4/5 - 36*u**3/5 + 42*u**2/5 - 3*u.
3*u*(u - 1)**3*(u + 5)/5
Suppose -115*l**3 - 680*l**2 + 60*l = 0. What is l?
-6, 0, 2/23
Find l, given that 75*l**3 - 15*l**2 - 63*l + 27 = 0.
-1, 3/5
Determine k, given that 196*k**5 + 20692*k**4 + 202876*k**3 + 576380*k**2 + 281600*k + 38000 = 0.
-95, -5, -2/7
Let -5*m**5/4 - 165*m**4/2 - 315*m**3/4 + 325*m**2/2 = 0. Calculate m.
-65, -2, 0, 1
Factor -5*j**3 + 280*j**2 - 1245*j - 1530.
-5*(j - 51)*(j - 6)*(j + 1)
Factor 338*q**5/9 + 364*q**4/9 - 184*q**3/3 + 16*q**2.
2*q**2*(q + 2)*(13*q - 6)**2/9
Factor -n**3/7 + 3034*n**2/7 - 2301289*n/7.
-n*(n - 1517)**2/7
Solve r**4/3 - 2*r**3/3 - 5*r**2 + 12*r = 0 for r.
-4, 0, 3
Factor 2*b**3/9 - 46*b**2/9 - 2*b/9 + 46/9.
2*(b - 23)*(b - 1)*(b + 1)/9
Factor 256*s**2 - 10080*s + 99225.
(16*s - 315)**2
Factor -4*k**3 - 4*k**2 + 24*k.
-4*k*(k - 2)*(k + 3)
Factor -2*v**5/3 + 2*v**4/3 + 2*v**3/3 - 2*v**2/3.
-2*v**2*(v - 1)**2*(v + 1)/3
Solve -p**4 + 173*p**3 + 349*p**2 + 175*p = 0.
-1, 0, 175
Let -4*v**5 - 596*v**4 - 2336*v**3 - 2320*v**2 = 0. Calculate v.
-145, -2, 0
Determine v so that -676*v**5 + 47788*v**4 - 79212*v**3 + 18868*v**2 + 12128*v + 1104 = 0.
-2/13, 1, 69
Factor -2*k**5/9 + 14*k**4/9 + 34*k**3/9 + 2*k**2.
-2*k**2*(k - 9)*(k + 1)**2/9
Solve -p**2/3 - 49*p/3 + 110 = 0 for p.
-55, 6
Solve 3*d**2/2 - 969*d + 312987/2 = 0.
323
Factor 3*b**2 - 27*b - 30.
3*(b - 10)*(b + 1)
Determine m so that -2*m**3/3 + 10*m**2 - 46*m/3 - 26 = 0.
-1, 3, 13
Suppose -3*q**3 + 21*q**2 - 36*q = 0. What is q?
0, 3, 4
Factor j**3 - 196*j**2 + 195*j.
j*(j - 195)*(j - 1)
Let -51*m**5/4 + 3954*m**4 - 1211223*m**3/4 - 1162041*m**2/2 - 237744*m + 36504 = 0. What is m?
-1, 2/17, 156
Factor 3*l**5/7 - 15*l**4/7 + 24*l**3/7 - 12*l**2/7.
3*l**2*(l - 2)**2*(l - 1)/7
Factor -4*k**4 + 84*k**3 - 228*k**2 - 724*k - 408.
-4*(k - 17)*(k - 6)*(k + 1)**2
Solve 2*j**2/11 + 4*j - 406/11 = 0.
-29, 7
Suppose 2*a**4/5 + 52*a**3/5 + 496*a**2/5 + 2048*a/5 + 3072/5 = 0. What is a?
-8, -6, -4
Suppose -2*x**4 + 66*x**3 + 406*x**2 - 1002*x + 532 = 0. What is x?
-7, 1, 38
Factor 36*d**3 - 68*d**2 - 40*d + 64.
4*(d - 2)*(d + 1)*(9*d - 8)
Let 17*d**2/5 + 49*d/5 - 6/5 = 0. What is d?
-3, 2/17
Solve 4*t**4/5 + 8*t**3/5 = 0.
-2, 0
Factor 35*i**5 + 360*i**4 + 1360*i**3 + 2250*i**2 + 1485*i + 270.
5*(i + 1)*(i + 3)**3*(7*i + 2)
Solve -5*m**5/3 - 10*m**4/3 + 40*m**3 + 250*m**2/3 + 125*m/3 = 0.
-5, -1, 0, 5
Factor z**4 + 13*z**3 + 40*z**2 + 36*z.
z*(z + 2)**2*(z + 9)
Factor z**5/3 - 3*z**4 - 64*z**3/3 - 88*z**2/3 + 16*z + 112/3.
(z - 14)*(z - 1)*(z + 2)**3/3
Let 15*h**5 + 290*h**4 + 2075*h**3 + 6660*h**2 + 8720*h + 2240 = 0. What is h?
-7, -4, -1/3
Factor j**3/3 + 43*j**2/3.
j**2*(j + 43)/3
Factor 2*l**5/19 - 18*l**4/19 + 30*l**3/19 - 14*l**2/19.
2*l**2*(l - 7)*(l - 1)**2/19
Factor b**2/3 - 39*b + 116/3.
(b - 116)*(b - 1)/3
Let -3*g**5 - 9*g**4 - 6*g**3 = 0. Calculate g.
-2, -1, 0
What is v in v**3 + 6*v**2 + 5*v - 12 = 0?
-4, -3, 1
Factor -b**2 - 13200*b - 43560000.
-(b + 6600)**2
Factor -2*o**3/13 - 46*o**2/13 - 264*o/13 - 360/13.
-2*(o + 2)*(o + 6)*(o + 15)/13
Factor 51*j**3/5 + 201*j**2/5 + 141*j/5 - 9/5.
3*(j + 1)*(j + 3)*(17*j - 1)/5
Factor -2*q**2/5 + 316*q/5 - 12482/5.
-2*(q - 79)**2/5
Solve -4*c**5 - 12*c**4 - 4*c**3 + 12*c**2 + 8*c = 0 for c.
-2, -1, 0, 1
Suppose -12*q**3 + 1132*q**2 - 26884*q + 8836 = 0. What is q?
1/3, 47
Factor -5*s**3 + 880*s**2 + 2675*s + 1790.
-5*(s - 179)*(s + 1)*(s + 2)
Find t, given that -35*t**5 - 620*t**4 + 460*t**3 + 15670*t**2 + 10375*t - 4250 = 0.
-17, -5, -1, 2/7, 5
Solve -4*h**3/7 + 4*h**2 + 544*h/7 + 512/7 = 0 for h.
-8, -1, 16
What is w in -w**3/8 - 17*w**2/8 - 47*w/4 - 21 = 0?
-7, -6, -4
Determine q so that -5*q**3 + 1725*q**2 + 6960*q + 6980 = 0.
-2, 349
Determine n, given that -12*n**2 - 64*n - 20 = 0.
-5, -1/3
Factor -3*l**2/7 - 135*l/7 + 1650/7.
-3*(l - 10)*(l + 55)/7
Let 20*i**4 - 324*i**3 + 1104*i**2 - 1168*i + 192 = 0. What is i?
1/5, 2, 12
Find r, given that -4*r**3/7 - 36*r**2/7 + 4*r/7 + 60 = 0.
-7, -5, 3
Factor -2*l**5 + 32*l**4 + 52*l**3 - 328*l**2 + 382*l - 136.
-2*(l - 17)*(l - 1)**3*(l + 4)
Factor -2*o**2 + 42*o + 92.
-2*(o - 23)*(o + 2)
Factor f**4/5 + 3*f**3/5 - 4*f/5.
f*(f - 1)*(f + 2)**2/5
Find q, given that 2*q**2 + 96*q + 94 = 0.
-47, -1
What is d in -2*d**5/9 + 16*d**4/9 - 40*d**3/9 + 32*d**2/9 = 0?
0, 2, 4
Let 3*m**5 + 1170*m**4 - 2349*m**3 + 1176*m**2 = 0. Calculate m.
-392, 0, 1
Factor 3*i**3 - 849*i**2 + 840*i + 1692.
3*(i - 282)*(i - 2)*(i + 1)
Factor -s**3 + 13*s**2 - 40*s + 36.
-(s - 9)*(s - 2)**2
Factor 5*j**2 + 365*j.
5*j*(j + 73)
Factor -g**5 + 195*g**4 - 8595*g**3 - 88155*g**2 - 275400*g - 280908.
-(g - 102)**2*(g + 3)**3
Find h such that h**3/3 + 7*h**2/2 + 5*h/3 = 0.
-10, -1/2, 0
What is h in h**2/6 - 5*h/6 - 1 = 0?
-1, 6
Suppose -v**2/2 + 48*v - 1152 = 0. Calculate v.
48
Suppose d**5/2 - d**4/6 = 0. What is d?
0, 1/3
Factor -p**3/2 - 45*p**2/2 - 84*p - 82.
-(p + 2)**2*(p + 41)/2
Find t such that -t**5/3 - 11*t**4/3 + 43*t**3/3 + 11*t**2/3 - 14*t = 0.
-14, -1, 0, 1, 3
Suppose 2*g**2 + 5840*g + 4263200 = 0. What is g?
-1460
Solve 75*l**2 + 1535*l - 1610 = 0 for l.
-322/15, 1
What is f in -f**5/9 + f**4/3 + 13*f**3/9 - 5*f**2/3 = 0?
-3, 0, 1, 5
Solve -10*u**3 - 191*u**2 - 1212*u - 2556 = 0 for u.
-71/10, -6
Factor 2*b**3/11 + 12*b**2/11 - 14*b/11.
2*b*(b - 1)*(b + 7)/11
Let -3*n**5 - 201*n**4/7 + 342*n**3/7 + 102*n**2/7 - 321*n/7 + 99/7 = 0. Calculate n.
-11, -1, 3/7, 1
Find w, given that 2*w**4/5 + 6*w**3 - 2*w**2/5 - 6*w = 0.
-15, -1, 0, 1
Let 4*l**4 + 428*l**3 + 1260*l**2 + 1252*l + 416 = 0. What is l?
-104, -1
Solve -6*m**5 - 27*m**4 + 21*m**3 + 27*m**2 - 15*m = 0.
-5, -1, 0, 1/2, 1
Solve 2*z**5 - 18*z**4 + 52*z**3 - 48*z**2 = 