255 = 0. Calculate a.
-85, 1
Factor 3*y**4 - 54*y**3 + 183*y**2 - 216*y + 84.
3*(y - 14)*(y - 2)*(y - 1)**2
Determine u so that -u**4/5 + 46*u**3/5 + 49*u**2/5 - 94*u/5 = 0.
-2, 0, 1, 47
Find n such that -76*n**3 + 454*n**2 - 672*n - 18 = 0.
-1/38, 3
Factor -2*p**3/5 - 4*p**2 - 38*p/5 + 12.
-2*(p - 1)*(p + 5)*(p + 6)/5
Let -2*d**3/13 - 928*d**2/13 - 107648*d/13 = 0. Calculate d.
-232, 0
Factor -5*b**4 - 2180*b**3 - 356430*b**2 - 25900580*b - 705790805.
-5*(b + 109)**4
Determine h, given that 4*h**2 - 128*h + 348 = 0.
3, 29
What is g in g**4/3 + 80*g**3/3 - 168*g**2 + 1024*g/3 - 688/3 = 0?
-86, 2
Factor -2*i**4/5 - 22*i**3/5 - 18*i**2 - 162*i/5 - 108/5.
-2*(i + 2)*(i + 3)**3/5
Suppose -g**3 - 130*g**2 - 2233*g + 142296 = 0. What is g?
-77, 24
What is v in -v**2 - 4*v + 5 = 0?
-5, 1
Suppose t**4/2 + t**3 - 12*t**2 - 9*t + 135/2 = 0. Calculate t.
-5, -3, 3
Factor -50*f**3 + 255*f**2 - 225*f + 20.
-5*(f - 4)*(f - 1)*(10*f - 1)
Find g such that -g**4 + 44*g**3 + 246*g**2 - 44*g - 245 = 0.
-5, -1, 1, 49
Determine p so that 25*p**5 - 40*p**4 - 95*p**3 + 70*p**2 + 140*p + 40 = 0.
-1, -2/5, 2
Factor 5*r**4 - 50*r**3 + 105*r**2.
5*r**2*(r - 7)*(r - 3)
Suppose 2*m**4/5 - 32*m**3/5 = 0. Calculate m.
0, 16
Find b such that -2*b**5/5 - 24*b**4/5 - 4*b**3 + 24*b**2/5 + 22*b/5 = 0.
-11, -1, 0, 1
What is y in 3*y**2 - 69*y - 234 = 0?
-3, 26
Factor h**3 + 2*h**2 + h.
h*(h + 1)**2
Let u**4/9 + 94*u**3/9 - 104*u**2/9 - 94*u + 95 = 0. Calculate u.
-95, -3, 1, 3
Factor 3*x**5 - 33*x**4 + 78*x**3 - 48*x**2.
3*x**2*(x - 8)*(x - 2)*(x - 1)
What is i in 2*i**4/7 + 18*i**3/7 + 18*i**2/7 - 162*i/7 - 324/7 = 0?
-6, -3, 3
Determine h so that h**2/4 + 13*h/2 - 27/4 = 0.
-27, 1
Factor -12*c**3 + 51*c**2 + 48*c - 15.
-3*(c - 5)*(c + 1)*(4*c - 1)
Factor 15*i**3/2 - 190*i**2 + 115*i/2 + 125.
5*(i - 25)*(i - 1)*(3*i + 2)/2
Suppose 2*c**4/7 - 482*c**2/7 + 480*c/7 = 0. Calculate c.
-16, 0, 1, 15
What is y in -2*y**3 + 2*y = 0?
-1, 0, 1
Solve -15*i**4 - 27*i**3 + 51*i**2 - 9*i = 0 for i.
-3, 0, 1/5, 1
What is j in j**5/11 - 4*j**4/11 - 4*j**3/11 + 16*j**2/11 = 0?
-2, 0, 2, 4
Suppose 2*m**2 + 44*m + 42 = 0. Calculate m.
-21, -1
Factor -p**3/5 - 33*p**2/5 + 144*p/5 - 148/5.
-(p - 2)**2*(p + 37)/5
Factor 2*y**2/3 + 10*y + 100/3.
2*(y + 5)*(y + 10)/3
Solve -2*o**5/5 - 8*o**4/5 - 12*o**3/5 - 8*o**2/5 - 2*o/5 = 0.
-1, 0
Factor z**2/4 - 9*z/4 - 5/2.
(z - 10)*(z + 1)/4
Factor m**2/2 - 37*m - 75/2.
(m - 75)*(m + 1)/2
Determine m so that 3*m**2/2 - 93*m/2 - 48 = 0.
-1, 32
What is o in 3*o**5 + 24*o**4 - 45*o**3 - 162*o**2 = 0?
-9, -2, 0, 3
Factor -3*b**2 - 8874*b - 6562323.
-3*(b + 1479)**2
Suppose 2*b**5 + 163*b**4/2 + 119*b**3/2 - 20*b**2 = 0. What is b?
-40, -1, 0, 1/4
Factor -j**4 - 13*j**3 + 86*j**2 - 72*j.
-j*(j - 4)*(j - 1)*(j + 18)
Solve -4*l**3/7 - 16*l**2 - 212*l/7 - 104/7 = 0 for l.
-26, -1
Find b, given that -5*b**2 + 500*b - 12500 = 0.
50
Factor f**3/3 + 231*f**2 + 40136*f + 119716/3.
(f + 1)*(f + 346)**2/3
Find q, given that -2*q**4/3 - 14*q**3/3 + 6*q**2 + 14*q/3 - 16/3 = 0.
-8, -1, 1
What is i in -4*i**5 + 24*i**4 + 4*i**3 - 24*i**2 = 0?
-1, 0, 1, 6
Determine z, given that z**4/2 + 3*z**3 - 7*z**2/2 = 0.
-7, 0, 1
Let -2*m**4 + 406*m**3 = 0. Calculate m.
0, 203
Suppose -j**5/3 + 20*j**4/3 + 82*j**3/3 - 284*j**2/3 - 115*j = 0. What is j?
-5, -1, 0, 3, 23
Suppose 40*s**2/3 - 68*s + 20/3 = 0. What is s?
1/10, 5
Factor 5*z**5 - 65*z**3 + 60*z**2.
5*z**2*(z - 3)*(z - 1)*(z + 4)
Suppose 3*s**5 + 24*s**4 + 66*s**3 + 72*s**2 + 27*s = 0. Calculate s.
-3, -1, 0
Solve 2*u**3 - 36*u**2 + 142*u + 180 = 0 for u.
-1, 9, 10
Factor -3*s**3 + 45*s**2 + 243*s - 285.
-3*(s - 19)*(s - 1)*(s + 5)
Let -5*a**5 + 100*a**4 + 360*a**3 - 310*a**2 - 835*a + 690 = 0. What is a?
-3, -2, 1, 23
Determine j so that 4*j**4/3 + 368*j**3/9 + 3160*j**2/9 + 10000*j/9 + 9500/9 = 0.
-19, -5, -5/3
Factor -t**3/7 + 36*t**2/7 - 324*t/7 + 864/7.
-(t - 24)*(t - 6)**2/7
Determine y, given that 4*y**4/7 + 108*y**3/7 - 484*y**2/7 + 372*y/7 = 0.
-31, 0, 1, 3
Find b, given that b**5/3 + 67*b**4/3 - 2*b**3 - 410*b**2/3 - 539*b/3 - 67 = 0.
-67, -1, 3
Solve 4*r**3/3 + 248*r**2/3 + 1360*r + 2400 = 0.
-30, -2
What is x in 23*x**2/4 + 195*x/2 - 17/4 = 0?
-17, 1/23
What is u in 2*u**5/7 + 12*u**4/7 - 2*u**3/7 - 12*u**2/7 = 0?
-6, -1, 0, 1
Factor 5*s**5 - 1490*s**4 + 106460*s**3 + 674920*s**2 + 1374080*s + 924160.
5*(s - 152)**2*(s + 2)**3
Factor -3*r**5 + 30*r**4 - 48*r**3 - 6*r**2 + 51*r - 24.
-3*(r - 8)*(r - 1)**3*(r + 1)
Solve -h**4 + 4*h**3 + 186*h**2 + 644*h - 833 = 0 for h.
-7, 1, 17
Factor -2*z**3 - 2*z**2 + 8*z + 8.
-2*(z - 2)*(z + 1)*(z + 2)
Suppose -x**5 + 5*x**4 + 8*x**3 - 12*x**2 = 0. What is x?
-2, 0, 1, 6
Find q such that q**3/2 - 17*q**2 + 161*q/2 + 98 = 0.
-1, 7, 28
Let 2*k**4/11 - 20*k**3/11 - 16*k**2 - 256*k/11 = 0. Calculate k.
-4, -2, 0, 16
Find z such that -5*z**5 + 115*z**4 - 305*z**3 + 85*z**2 + 310*z - 200 = 0.
-1, 1, 2, 20
Suppose 2*b**2/3 + 8*b/3 + 2 = 0. What is b?
-3, -1
Find j such that -j**4/4 + 71*j**3/4 + 73*j**2/2 = 0.
-2, 0, 73
Factor v**2/3 - 34*v/3 - 129.
(v - 43)*(v + 9)/3
Let 2*f**5 + 159*f**4/2 - 26*f**3 - 485*f**2/2 - 99*f + 40 = 0. Calculate f.
-40, -1, 1/4, 2
Factor v**2/5 + 15*v - 234/5.
(v - 3)*(v + 78)/5
Factor -4*t**4 - 12*t**3 + 64*t**2 - 48*t.
-4*t*(t - 2)*(t - 1)*(t + 6)
Factor 3*q**4 + 15*q**3 + 6*q**2 - 24*q.
3*q*(q - 1)*(q + 2)*(q + 4)
Factor 5*y**3 + 1115*y**2 + 62715*y + 61605.
5*(y + 1)*(y + 111)**2
Factor -4*k**5 - 224*k**4 - 432*k**3.
-4*k**3*(k + 2)*(k + 54)
Let -2*p**2/9 + 584*p - 383688 = 0. Calculate p.
1314
Factor -2*z**4 - 8*z**3 + 10*z**2.
-2*z**2*(z - 1)*(z + 5)
Suppose 2*a**2/3 - 12*a + 154/3 = 0. Calculate a.
7, 11
Factor -3*t**5 + 9*t**4 + 345*t**3 + 75*t**2 - 11250*t - 30000.
-3*(t - 10)*(t - 8)*(t + 5)**3
Factor x**2 - 4492*x + 5044516.
(x - 2246)**2
Solve -2*y**4/3 - 46*y**3/3 + 16*y**2 = 0.
-24, 0, 1
Solve -4*s**2 - 436*s - 856 = 0 for s.
-107, -2
Let 15*w**3 + 130*w**2 - 2620*w - 1800 = 0. Calculate w.
-18, -2/3, 10
Let 5*t**3 + 30*t**2 - 135*t = 0. Calculate t.
-9, 0, 3
Solve 2*y**5 - 176*y**4 - 178*y**3 = 0 for y.
-1, 0, 89
Suppose 1215*u**4 + 2916*u**3 + 912*u**2 - 144*u - 48 = 0. What is u?
-2, -2/5, -2/9, 2/9
Factor -x**5/3 - 4*x**4/3 - 5*x**3/3 - 2*x**2/3.
-x**2*(x + 1)**2*(x + 2)/3
Solve -2*k**2/19 + 3578*k/19 + 3580/19 = 0.
-1, 1790
Suppose -4*s**2 + 524*s - 520 = 0. What is s?
1, 130
Suppose 2*n**5/7 - 40*n**4/7 + 108*n**3/7 - 104*n**2/7 + 34*n/7 = 0. What is n?
0, 1, 17
Determine f so that f**4 + 13*f**3/2 + 6*f**2 - 17*f/2 - 5 = 0.
-5, -2, -1/2, 1
Factor -3*b**4 - 15*b**3 - 9*b**2 + 15*b + 12.
-3*(b - 1)*(b + 1)**2*(b + 4)
What is c in -c**4/2 - 7*c**3 - 45*c**2/2 - 26*c - 10 = 0?
-10, -2, -1
Suppose -4*z**4 + 16*z**3 + 360*z**2 + 1296*z + 1404 = 0. What is z?
-3, 13
Find l, given that -5*l**5 - 5*l**4 + 30*l**3 + 20*l**2 - 40*l = 0.
-2, 0, 1, 2
Determine p, given that -14*p**3/11 + 48*p**2/11 - 18*p/11 = 0.
0, 3/7, 3
Find y such that -5*y**4 + 40*y**3 + 115*y**2 - 150*y = 0.
-3, 0, 1, 10
Let -2*g**2 + 24*g - 70 = 0. What is g?
5, 7
Determine f, given that 108*f**4/5 + 81*f**3/5 - 183*f**2/5 - 21*f/5 + 3 = 0.
-5/3, -1/3, 1/4, 1
Factor 3*m**3/4 - 174*m**2 + 39663*m/4 + 41067/2.
3*(m - 117)**2*(m + 2)/4
Suppose 3*c**2 + 129*c = 0. Calculate c.
-43, 0
Let 3*s**2/2 - 537*s + 96123/2 = 0. Calculate s.
179
Factor 2*j**4/11 - 8*j**3/11 - 184*j**2/11 + 384*j/11 + 4608/11.
2*(j - 8)**2*(j + 6)**2/11
Factor -4*j**4/3 - 8*j**3 + 20*j**2 - 32*j/3.
-4*j*(j - 1)**2*(j + 8)/3
Solve -r**3/4 - r**2/4 + 6*r - 9 = 0 for r.
-6, 2, 3
Factor -3*w**3 - 204*w**2 - 3468*w.
-3*w*(w + 34)**2
Factor -i**2/9 + 1/9.
-(i - 1)*(i + 1)/9
Suppose 5*b**5 - 25*b**4 + 5*b**3 + 105*b**2 - 90*b = 0. What is b?
-2, 0, 1, 3
Factor 2*t**3/11 - 86*t**2/11 + 966*t/11 - 882/11.
2*(t - 21)**2*(t - 1)/11
Factor u**3 - 84*u**2 - 85*u.
u*(u - 85)*(u + 1)
Determine m so that m**4 + 10*m**3 - 71*m**2 + 60*m = 0.
-15, 0, 1, 4
Factor -h**3 - 17*h**2 + 37*h - 19.
-(h - 1)**2*(h + 19)
Factor -4*d**3 - 48*d**2 - 80*d.
-4*d*(d + 2)*(d + 10)
Solve 2*r**2 - 16*r = 0 for r.
0, 8
Factor 27*g**3/2 + 99*g**2/2 - 141*g/8 + 3/2.
3*(g + 4)*(6*g - 1)**2/8
Suppose 75*r**4/2 - 180*r**3 + 102*r**2 + 72*r = 0. Calculate r.
-2/5, 0, 6/5, 4
Suppose -3*y**2/2 + 381*y/2 + 192 = 0. What is y?
-1, 128
Factor m**4/5 - m**3