
-386
Factor 5*u**3 - 1285*u**2 - 3900*u.
5*u*(u - 260)*(u + 3)
Determine i so that -5*i**2 + 9750*i - 4753125 = 0.
975
Suppose -4*p**2/3 + 10144*p/9 + 752 = 0. Calculate p.
-2/3, 846
Find o, given that 2*o**5/3 + 6*o**4 + 44*o**3/3 - 64*o/3 = 0.
-4, -2, 0, 1
Factor -s**5/8 - 71*s**4/8 + 145*s**3/8 - 73*s**2/8.
-s**2*(s - 1)**2*(s + 73)/8
What is u in 2*u**5 - 38*u**4 + 198*u**3 - 162*u**2 = 0?
0, 1, 9
Suppose -4*v**5 + 104*v**4 - 96*v**3 - 104*v**2 + 100*v = 0. What is v?
-1, 0, 1, 25
Factor -o**2/7 - 80*o/7.
-o*(o + 80)/7
Solve -c**4/6 - 725*c**3/6 - 361*c**2 + 2*c/3 + 1444/3 = 0 for c.
-722, -2, 1
Determine g, given that 5*g**2 - 10850*g + 21680 = 0.
2, 2168
Suppose q**3/5 + 13*q**2/5 + 11*q + 15 = 0. Calculate q.
-5, -3
Determine z, given that 4*z**2 + 16*z - 20 = 0.
-5, 1
Factor 3*w**2/8 - 18165*w/4 + 109989075/8.
3*(w - 6055)**2/8
Determine j, given that -4*j**4 + 176*j**3 + 180*j**2 = 0.
-1, 0, 45
Factor 2*x**4/7 - 10*x**3/7 - 2*x**2/7 + 10*x/7.
2*x*(x - 5)*(x - 1)*(x + 1)/7
Determine d, given that 6*d**5/5 + 20*d**4 + 152*d**3/5 + 28*d**2/5 - 6*d = 0.
-15, -1, 0, 1/3
Determine n so that -n**5 - 48*n**4 + 53*n**3 + 192*n**2 - 196*n = 0.
-49, -2, 0, 1, 2
Let -x**5/5 + 7*x**4/5 + 8*x**3/5 = 0. What is x?
-1, 0, 8
Let v**4/3 + 2*v**3/3 - 4*v**2/3 - 8*v/3 = 0. Calculate v.
-2, 0, 2
Find i such that -4*i**2 - 1664*i - 173056 = 0.
-208
Solve 2*p**2/11 - 148*p/11 + 146/11 = 0.
1, 73
Solve x**3/4 + 17*x**2 + 67*x/4 = 0 for x.
-67, -1, 0
Factor -3*n**2 - 582*n - 28227.
-3*(n + 97)**2
Factor -3*k**3 + 1908*k**2 - 404496*k + 28584384.
-3*(k - 212)**3
Factor 5*u**5/3 - 605*u**4/3 + 19190*u**3/3 - 53990*u**2/3 + 52805*u/3 - 17405/3.
5*(u - 59)**2*(u - 1)**3/3
Find y, given that 2*y**4 + 14*y**3 + 22*y**2 + 10*y = 0.
-5, -1, 0
Let -125*q**5 - 50*q**4 + 120*q**3 + 50*q**2 + 5*q = 0. Calculate q.
-1, -1/5, 0, 1
Find m such that m**2/2 - 16*m + 128 = 0.
16
Let 2*s**4/3 + 40*s**3/3 + 166*s**2/3 + 248*s/3 + 40 = 0. What is s?
-15, -2, -1
Determine s, given that 40*s**3/9 - 62*s**2/3 + 12*s - 16/9 = 0.
1/4, 2/5, 4
Let -5*r**3 + 255*r**2 - 2835*r - 10935 = 0. Calculate r.
-3, 27
Let 4*k**5 - 60*k**4 + 300*k**3 - 580*k**2 + 480*k - 144 = 0. Calculate k.
1, 6
Factor 2*f**4 - 248*f**3 - 502*f**2 - 252*f.
2*f*(f - 126)*(f + 1)**2
Suppose -2*b**2 + 736*b - 734 = 0. Calculate b.
1, 367
Suppose -y**4 - 5*y**3 + 8*y**2 + 12*y = 0. What is y?
-6, -1, 0, 2
Factor 2*m**2/19 + 360*m/19 + 1750/19.
2*(m + 5)*(m + 175)/19
Factor 21*t**3/8 - 27*t**2 + 501*t/8 - 63/4.
3*(t - 7)*(t - 3)*(7*t - 2)/8
Factor -20*u**2 + 2408*u - 960.
-4*(u - 120)*(5*u - 2)
Factor -10*k**5 + 318*k**4 - 2496*k**3 - 512*k**2.
-2*k**2*(k - 16)**2*(5*k + 1)
Determine g so that -5*g**2 + 10*g + 75 = 0.
-3, 5
Let 15*u**4/2 - 13*u**3/2 - 77*u**2/2 - 55*u/2 - 3 = 0. What is u?
-1, -2/15, 3
Determine j so that -32*j**5/5 - 44*j**4/5 + 8*j**3 + 64*j**2/5 - 8*j/5 - 4 = 0.
-1, 5/8, 1
Find r such that -8*r**4/7 - 480*r**3/7 + 502*r**2/7 + 858*r/7 + 244/7 = 0.
-61, -1/2, 2
Determine y, given that -4*y**5 + 16*y**4 + 168*y**3 - 928*y**2 + 604*y + 1680 = 0.
-7, -1, 3, 4, 5
Suppose 2*r**2 - 74*r + 264 = 0. Calculate r.
4, 33
Factor -2*h**2/19 + 1590*h/19 - 3172/19.
-2*(h - 793)*(h - 2)/19
Factor 2*r**3/11 - 86*r**2/11 + 916*r/11 - 832/11.
2*(r - 26)*(r - 16)*(r - 1)/11
What is t in t**3/2 + 397*t**2/3 - 89*t/2 - 265/3 = 0?
-265, -2/3, 1
Determine b, given that -4*b**4 + 96*b**3 - 444*b**2 - 544*b = 0.
-1, 0, 8, 17
Factor p**4/4 + 5*p**3/2 - 48*p**2 - 440*p - 896.
(p - 14)*(p + 4)**2*(p + 16)/4
Factor 2*y**4 - 66*y**3.
2*y**3*(y - 33)
Factor u**3/2 + 15*u**2/2.
u**2*(u + 15)/2
Suppose -5*o**4 + 60*o**3 - 85*o**2 - 150*o = 0. What is o?
-1, 0, 3, 10
Suppose a**3/4 - 1077*a**2/2 - a/4 + 1077/2 = 0. What is a?
-1, 1, 2154
Factor -5*q**3 - 450*q**2 - 13500*q - 135000.
-5*(q + 30)**3
Factor 4*l**3/3 - 32*l**2 + 208*l - 896/3.
4*(l - 14)*(l - 8)*(l - 2)/3
Factor -u**5/7 + 12*u**4/7 + 27*u**3/7 + 2*u**2.
-u**2*(u - 14)*(u + 1)**2/7
Solve p**2/5 - 3508*p/5 = 0 for p.
0, 3508
Factor -m**5/7 + 12*m**4/7 - 50*m**3/7 + 88*m**2/7 - 69*m/7 + 20/7.
-(m - 5)*(m - 4)*(m - 1)**3/7
Solve -3*n**5/4 + 21*n**4/4 - 21*n**3/2 + 3*n**2/2 + 45*n/4 - 27/4 = 0 for n.
-1, 1, 3
Factor t**3 - 92*t**2 + 2205*t - 4050.
(t - 45)**2*(t - 2)
Factor -3*a**3 + 177*a**2 - 3432*a + 21780.
-3*(a - 22)**2*(a - 15)
Determine o so that 2*o**5/3 + 4478*o**4/3 + 5962*o**3 + 13402*o**2/3 - 17888*o/3 - 5960 = 0.
-2235, -2, -1, 1
Suppose -a**2 + 54*a - 693 = 0. Calculate a.
21, 33
Solve -5*i**4/4 - 17*i**3/4 + 5*i**2/4 + 17*i/4 = 0 for i.
-17/5, -1, 0, 1
Let 2*w**2 - 120*w + 918 = 0. Calculate w.
9, 51
Determine o so that o**4/3 + 106*o**3/3 + 2809*o**2/3 = 0.
-53, 0
Factor -2*f**2/15 - 1478*f/5 + 4436/15.
-2*(f - 1)*(f + 2218)/15
Factor 4*g**3/3 + 20*g**2 + 64*g - 256/3.
4*(g - 1)*(g + 8)**2/3
Determine d so that -80*d**5 + 148*d**4 - 18*d**3 - 76*d**2 + 14*d + 12 = 0.
-1/2, -2/5, 3/4, 1
Let 5*f**3 - 265*f**2 - 1120*f - 1140 = 0. What is f?
-2, 57
Factor t**4 - 1814*t**3 + 1094436*t**2 - 218138184*t - 890180064.
(t - 606)**3*(t + 4)
Factor -u**3/4 - 71*u**2/4 - 1035*u/4 - 4293/4.
-(u + 9)**2*(u + 53)/4
Find x such that -5*x**5 + 35*x**4 - 75*x**3 + 65*x**2 - 20*x = 0.
0, 1, 4
Factor 2*q**2/7 - 12*q - 86/7.
2*(q - 43)*(q + 1)/7
Determine s, given that -6*s**5 - 15*s**4 + 60*s**3 + 15*s**2 - 54*s = 0.
-9/2, -1, 0, 1, 2
Factor 140*d**2 - 424*d + 12.
4*(d - 3)*(35*d - 1)
Factor 2*t**2/3 - 118*t + 352/3.
2*(t - 176)*(t - 1)/3
Factor s**5 + 70*s**4 + 1825*s**3 + 21500*s**2 + 110000*s + 200000.
(s + 5)**2*(s + 20)**3
Factor -5*p**4 + 365*p**3 - 6830*p**2 + 5760*p + 12960.
-5*(p - 36)**2*(p - 2)*(p + 1)
Factor -2*z**4 - 6*z**3 + 2*z**2 + 6*z.
-2*z*(z - 1)*(z + 1)*(z + 3)
Factor l**3/3 + 115*l**2/3 - 358*l/3 - 472/3.
(l - 4)*(l + 1)*(l + 118)/3
Suppose -4*h**4 - 32*h**3 - 76*h**2 - 48*h = 0. Calculate h.
-4, -3, -1, 0
Solve -2*a**2/7 + 212*a/7 = 0 for a.
0, 106
Factor -5*n**3/3 + 15275*n**2/3 - 11658640*n/3 - 11673920/3.
-5*(n - 1528)**2*(n + 1)/3
Factor 5*x**5 + 55*x**4 + 50*x**3 - 530*x**2 + 665*x - 245.
5*(x - 1)**3*(x + 7)**2
Solve -352*y**3 + 1504*y**2 - 386*y + 8 = 0.
1/44, 1/4, 4
Factor -2*j**4 + 6*j**2 + 4*j.
-2*j*(j - 2)*(j + 1)**2
Factor -s**5 + 22*s**4 - 18*s**3 - 68*s**2 + 107*s - 42.
-(s - 21)*(s - 1)**3*(s + 2)
Factor 5*j**2 + 470*j.
5*j*(j + 94)
Factor 4*k**3 - 124*k**2 - 548*k - 420.
4*(k - 35)*(k + 1)*(k + 3)
What is n in -5*n**3 + 45*n**2 - 40*n = 0?
0, 1, 8
Factor -3*p**4 + 15*p**3 + 312*p**2.
-3*p**2*(p - 13)*(p + 8)
Factor 3*j**2 - 396*j + 13068.
3*(j - 66)**2
Solve 2*x**4/9 + 22*x**3/9 - 2*x**2/9 - 22*x/9 = 0.
-11, -1, 0, 1
Factor 3*x**3 - 39*x**2 + 168*x - 240.
3*(x - 5)*(x - 4)**2
Factor 2*q**4/7 + 2*q**3/7 - 6*q**2/7 - 2*q/7 + 4/7.
2*(q - 1)**2*(q + 1)*(q + 2)/7
Determine f so that -f**2/6 + 43*f/3 - 85/6 = 0.
1, 85
Find o, given that -2*o**4/11 - 2*o**3/11 + 18*o**2/11 + 18*o/11 = 0.
-3, -1, 0, 3
Solve -3*f**5/4 + 15*f**4/4 - 21*f**3/4 - 3*f**2/4 + 6*f - 3 = 0 for f.
-1, 1, 2
Factor -p**4/4 + p**3 + 15*p**2/4 - 9*p/2.
-p*(p - 6)*(p - 1)*(p + 3)/4
Let -2*z**5/19 - 8*z**4/19 - 12*z**3/19 - 8*z**2/19 - 2*z/19 = 0. Calculate z.
-1, 0
What is v in 4*v**4 - 68*v**3 + 228*v**2 - 268*v + 104 = 0?
1, 2, 13
Let -h**2 + 910*h = 0. Calculate h.
0, 910
Solve 2*i**2/17 - 184*i/17 + 4232/17 = 0.
46
Factor 4*o**4 - 236*o**3 - 1916*o**2 + 4524*o - 2376.
4*(o - 66)*(o - 1)**2*(o + 9)
What is l in -l**4/4 + 17*l**3/2 - 78*l**2 + 128*l + 640 = 0?
-2, 8, 20
Factor 5*i**3 + 95*i**2/4 + 30*i + 45/4.
5*(i + 1)*(i + 3)*(4*i + 3)/4
Factor -676*w**4 + 1560*w**3 + 6588*w**2 - 8640*w - 20736.
-4*(w - 3)**2*(13*w + 24)**2
Factor -c**2/3 + 4670*c - 16356675.
-(c - 7005)**2/3
Factor -3*x**4 + 3*x**3 + 6*x**2.
-3*x**2*(x - 2)*(x + 1)
Factor 6*z**3 + 4203*z**2 + 16803*z/8 + 525/2.
3*(z + 700)*(4*z + 1)**2/8
Suppose 2*i**5/3 - 8*i**4/3 - 94*i**3/3 + 92*i**2 + 264*i + 144 = 0. What is i?
-6, -1, 6
Factor -10*u**2/3 + 28*u - 32/3.
-2*(u - 8)*(5*u - 2)/3
Determine t so that -10*t**4 - 384*t**3 - 152*t**2 = 0.
-38, -2/5, 0
Factor -4*z**3/9 + 4*z**2/9 + 32*z/9 - 16/3.
-4*(z - 2)**2*(z + 3)/9
Let 4*o**5 + 137*o**4 + 1430*o**3 + 4429*o**2 + 4620*o + 900 = 0. Calculate o.
-15, -2, -1/4
Suppose -6*x**4/11 + 6*x**3 + 72*x**2/11 = 0. What is x?
-1, 0, 12
Factor z**5 - 11*z**4/3 + 2*z*