at 3*a**3/4 + 81*a**2/2 + 159*a/4 = 0.
-53, -1, 0
Determine w so that w**3 - 22*w**2 - 100*w - 104 = 0.
-2, 26
Factor -v**4 - 21*v**3 - 102*v**2 - 188*v - 120.
-(v + 2)**3*(v + 15)
Factor c**2/4 - 9*c/2.
c*(c - 18)/4
Determine j so that 3*j**2/5 + 6*j/5 = 0.
-2, 0
Find z, given that -2*z**4/5 - 18*z**3/5 - 52*z**2/5 - 48*z/5 = 0.
-4, -3, -2, 0
Factor -x**2/2 + 2*x + 5/2.
-(x - 5)*(x + 1)/2
Find u such that -5*u**4 - 5*u**3 + 105*u**2 + 5*u - 100 = 0.
-5, -1, 1, 4
Factor 4*l**2 - 124*l + 232.
4*(l - 29)*(l - 2)
Factor k**3/5 - 54*k**2/5 + 156*k - 1352/5.
(k - 26)**2*(k - 2)/5
Let 38*r**2 + 74*r - 4 = 0. What is r?
-2, 1/19
What is z in 45*z**4 - 3099*z**3 + 54666*z**2 - 44676*z - 6936 = 0?
-2/15, 1, 34
Find u, given that 100*u**4 + 2100*u**3 - 2216*u**2 - 336*u + 352 = 0.
-22, -2/5, 2/5, 1
Determine p so that -6*p**5 - 69*p**4 - 291*p**3 - 543*p**2 - 423*p - 108 = 0.
-4, -3, -1, -1/2
Factor -f**2/5 + 14*f/5 + 32/5.
-(f - 16)*(f + 2)/5
Suppose f**4/9 - 8*f**3/9 + 5*f**2/3 + 8*f/9 - 16/9 = 0. What is f?
-1, 1, 4
Factor -2*p**4 - 2*p**3 + 12*p**2 + 8*p - 16.
-2*(p - 2)*(p - 1)*(p + 2)**2
Suppose -4*z**3 - 36*z**2 - 104*z - 96 = 0. What is z?
-4, -3, -2
Solve -3*r**3 - 6*r**2 + 3*r + 6 = 0.
-2, -1, 1
Factor -15*u**2 - 27*u - 12.
-3*(u + 1)*(5*u + 4)
Determine f so that -36*f**3 - 96*f**2 - 64*f = 0.
-4/3, 0
Factor 3*k**3/7 + 75*k**2/7 + 534*k/7 + 792/7.
3*(k + 2)*(k + 11)*(k + 12)/7
Factor 4*b**2/9 + 880*b/9 + 48400/9.
4*(b + 110)**2/9
What is c in 5*c**4 - 4*c**3 - 11*c**2 - 2*c = 0?
-1, -1/5, 0, 2
Find t, given that 3*t**2/2 - 225*t - 456 = 0.
-2, 152
Find r such that -r**3/8 - 17*r**2/8 + 5*r/2 + 9/2 = 0.
-18, -1, 2
Find f such that f**5/5 + 3*f**4/5 + 3*f**3/5 + f**2/5 = 0.
-1, 0
Find v such that -6*v**5 + 63*v**4/2 - 75*v**3/2 - 45*v**2/2 + 87*v/2 - 9 = 0.
-1, 1/4, 1, 2, 3
Suppose -2*h**3 - 118*h**2 + 242*h - 122 = 0. Calculate h.
-61, 1
Factor 36*x**4 + 384*x**3 + 229*x**2 - 109*x + 10.
(x + 1)*(x + 10)*(6*x - 1)**2
Solve k**4/4 + 99*k**3/2 + 243*k**2 + 677*k/2 + 579/4 = 0.
-193, -3, -1
Determine u, given that -u**2/2 - 223*u/2 + 112 = 0.
-224, 1
Let -r**3 - 307*r**2 = 0. What is r?
-307, 0
Let 2*x**4/9 - 490*x**3/9 + 484*x**2/9 + 976*x/9 = 0. Calculate x.
-1, 0, 2, 244
Factor -4*w**2 + 8*w + 252.
-4*(w - 9)*(w + 7)
Suppose 54*r**3 + 105*r**2 - 8*r - 4 = 0. Calculate r.
-2, -1/6, 2/9
Suppose -8*j**3 + 4*j**2 + 24*j = 0. What is j?
-3/2, 0, 2
Factor -5*j**3/2 + 510*j**2 + 2070*j + 2080.
-5*(j - 208)*(j + 2)**2/2
Find j, given that -j**2/4 - 11*j - 403/4 = 0.
-31, -13
Factor -b**2/3 - 98*b - 7203.
-(b + 147)**2/3
Find x such that x**2 + 37*x + 36 = 0.
-36, -1
Factor -2*c**2 + 90*c - 88.
-2*(c - 44)*(c - 1)
Factor q**3/3 + 438*q**2.
q**2*(q + 1314)/3
Factor 114005*s**2 - 10570*s + 245.
5*(151*s - 7)**2
Determine b so that -4*b**5/3 - 311*b**4/3 - 818*b**3/3 + 536*b**2/3 + 274*b - 75 = 0.
-75, -3, -1, 1/4, 1
Solve 4*d**2/5 - 12*d/5 - 72/5 = 0 for d.
-3, 6
Solve -3*k**3/2 - 15*k**2/2 + 759*k/2 + 6171/2 = 0 for k.
-11, 17
Factor -2*b**5/15 + 2*b**3/15.
-2*b**3*(b - 1)*(b + 1)/15
Solve -152*y**3/11 - 1194*y**2/11 + 180*y/11 + 32/11 = 0.
-8, -2/19, 1/4
Let 4*j**5 + 584*j**4 + 21312*j**3 - 584*j**2 - 21316*j = 0. What is j?
-73, -1, 0, 1
Find g such that -2*g**3/11 + 144*g**2/11 + 102*g - 1264/11 = 0.
-8, 1, 79
Factor -12*z**4 + 2084*z**3 - 90132*z**2 - 30276*z.
-4*z*(z - 87)**2*(3*z + 1)
Factor 2*g**3 - 24*g**2 + 18*g + 44.
2*(g - 11)*(g - 2)*(g + 1)
Solve -c**5/2 + 19*c**4/2 + 41*c**3/2 + 21*c**2/2 = 0.
-1, 0, 21
Factor -r**4/5 - 2*r**3/5 + 27*r**2/5 + 56*r/5 - 16.
-(r - 5)*(r - 1)*(r + 4)**2/5
Factor 4*o**4 - 8*o**2 + 4.
4*(o - 1)**2*(o + 1)**2
Factor -3*o**2/8 + 39*o/2 - 507/2.
-3*(o - 26)**2/8
Factor 2*q**3 - 1000*q**2 + 123994*q + 252004.
2*(q - 251)**2*(q + 2)
Factor -f**3/3 - f**2 + 15*f - 27.
-(f - 3)**2*(f + 9)/3
Factor -5*z**2/2 + 195*z/2 + 315.
-5*(z - 42)*(z + 3)/2
Solve 6*n**3 - 2*n**2 = 0.
0, 1/3
Factor 2*u**2/7 + 2752*u/7 + 946688/7.
2*(u + 688)**2/7
Determine m so that -m**2/3 - 12*m + 76/3 = 0.
-38, 2
Determine f, given that 15*f**4/2 + 20*f**3 + 35*f**2/2 + 5*f = 0.
-1, -2/3, 0
Find t such that 3*t**4/5 + 111*t**3/5 - 72*t**2 = 0.
-40, 0, 3
Find b such that -100*b**4 - 180*b**3 + 504*b**2 + 464*b + 96 = 0.
-3, -2/5, 2
Suppose -2*s**4 + 70*s**2 + 180*s + 112 = 0. Calculate s.
-4, -2, -1, 7
Let -5*n**5 - 25*n**4 - 40*n**3 - 20*n**2 = 0. What is n?
-2, -1, 0
What is p in p**4/9 + 20*p**3/9 + 19*p**2/9 = 0?
-19, -1, 0
Factor -2*k**2/11 + 38*k/11 - 120/11.
-2*(k - 15)*(k - 4)/11
Solve 2*p**4 + 16*p**3 + 42*p**2 + 36*p = 0 for p.
-3, -2, 0
Factor 2*s**2/15 - 2*s/15.
2*s*(s - 1)/15
Factor 2*j**4 + 20*j**3 - 46*j**2 + 24*j.
2*j*(j - 1)**2*(j + 12)
Factor 405*c**4/8 - 411*c**3/8 + 3*c**2/4.
3*c**2*(c - 1)*(135*c - 2)/8
Determine z so that 3*z**5/5 - 9*z**4/5 - 12*z**3/5 + 48*z**2/5 - 48/5 = 0.
-2, -1, 2
Determine z, given that -4*z**3/3 + 4*z**2 + 4*z/3 - 4 = 0.
-1, 1, 3
Determine n so that 2*n**2/9 + 56*n/9 + 50/3 = 0.
-25, -3
Factor 285*u**2/8 + 87*u/8 + 3/4.
3*(5*u + 1)*(19*u + 2)/8
Solve -x**5/4 + 3*x**4/2 - 11*x**3/4 + x**2/2 + 3*x - 2 = 0 for x.
-1, 1, 2
Suppose -40*q**3 - 415*q**2 - 150*q = 0. What is q?
-10, -3/8, 0
Factor 5*p**4 + 25*p**3 + 15*p**2 - 25*p - 20.
5*(p - 1)*(p + 1)**2*(p + 4)
Solve -f**4/8 - 313*f**3/8 - 4095*f**2 - 144664*f - 140608 = 0 for f.
-104, -1
What is y in -3*y**5/5 + 51*y**4/5 - 171*y**3/5 - 147*y**2/5 + 438*y/5 + 72 = 0?
-1, 2, 5, 12
Factor -2*v**2 - 198*v + 404.
-2*(v - 2)*(v + 101)
Find p, given that p**4/3 - 26*p**3/3 + 71*p**2/3 - 46*p/3 = 0.
0, 1, 2, 23
Factor -2*m**2/15 + 14*m/5 - 32/3.
-2*(m - 16)*(m - 5)/15
Solve 4*u**4 + 8*u**3 - 48*u**2 - 160*u - 128 = 0.
-2, 4
Solve -3*y**2/7 - 3042*y - 5398029 = 0.
-3549
Factor 2*z**3/5 - 3634*z**2/5 + 1656182*z/5 - 4935894/5.
2*(z - 907)**2*(z - 3)/5
Find t such that -5*t**2/3 - 85*t/3 + 550/3 = 0.
-22, 5
Factor -4*b**4 - 2776*b**3 - 481636*b**2.
-4*b**2*(b + 347)**2
Suppose -4*r**5 - 720*r**4 + 8*r**3 + 1440*r**2 - 4*r - 720 = 0. Calculate r.
-180, -1, 1
Factor -4*d**4 + 40*d**3 - 68*d**2 - 112*d.
-4*d*(d - 7)*(d - 4)*(d + 1)
Factor 9*z**3/4 - 19*z**2/2 - 37*z/4 + 5/2.
(z - 5)*(z + 1)*(9*z - 2)/4
Solve 5*h**5 + 30*h**4 - 600*h**3 + 1090*h**2 - 525*h = 0 for h.
-15, 0, 1, 7
Factor -6*j**4/17 - 10*j**3/17 - 2*j**2/17 + 2*j/17.
-2*j*(j + 1)**2*(3*j - 1)/17
Factor -2*r**2/11 - 8*r - 918/11.
-2*(r + 17)*(r + 27)/11
Let 46*v**3/3 + 88*v**2/3 + 38*v/3 - 4/3 = 0. Calculate v.
-1, 2/23
Factor 3*i**3/5 - 12*i**2/5 + 3*i - 6/5.
3*(i - 2)*(i - 1)**2/5
Determine g so that -3*g**3/2 - 75*g**2/2 + 234*g + 270 = 0.
-30, -1, 6
Solve 4*z**2 + 1552*z - 4692 = 0 for z.
-391, 3
Suppose 3*l**3 + 48*l**2 + 240*l + 384 = 0. What is l?
-8, -4
Factor j**2/3 - 572*j + 245388.
(j - 858)**2/3
Factor -3*w**2/7 + 9*w - 240/7.
-3*(w - 16)*(w - 5)/7
Let 4*h**5 + 44*h**4 + 68*h**3 - 44*h**2 - 72*h = 0. Calculate h.
-9, -2, -1, 0, 1
Factor 2*a**2/3 - 2*a/3 - 4.
2*(a - 3)*(a + 2)/3
Determine w so that 3*w**2 - 8*w - 3 = 0.
-1/3, 3
Solve 3*s**5 + 252*s**4 + 4764*s**3 - 22176*s**2 + 23232*s = 0.
-44, 0, 2
Factor -30*w**2 + 115*w + 20.
-5*(w - 4)*(6*w + 1)
Let -5*p**4/4 - 365*p**3/4 - 3415*p**2/2 - 1440*p + 3240 = 0. What is p?
-36, -2, 1
Factor 5*h**4 - 35*h**3 - 5*h**2 + 35*h.
5*h*(h - 7)*(h - 1)*(h + 1)
Let -2*n**5/7 - 310*n**4/7 - 1220*n**3/7 - 260*n**2 - 1210*n/7 - 302/7 = 0. What is n?
-151, -1
Find s, given that 3*s**2/2 - 69*s/2 - 630 = 0.
-12, 35
Factor 2*b**3 - 28*b**2 - 448*b - 768.
2*(b - 24)*(b + 2)*(b + 8)
Find m such that -15*m**3 - 80*m**2 + 65*m + 30 = 0.
-6, -1/3, 1
Determine c, given that -4*c**3/7 + 24*c**2 - 336*c + 1568 = 0.
14
Let -11*l**3/5 - 329*l**2/10 + 3*l/2 = 0. Calculate l.
-15, 0, 1/22
Suppose -2*w**2/5 - 10*w - 168/5 = 0. What is w?
-21, -4
Let s**5/2 + 7*s**4/2 + 3*s**3 = 0. What is s?
-6, -1, 0
Factor n**5/7 + 11*n**4/7 - 53*n**3/7 - 387*n**2/7 + 2160*n/7 - 2700/7.
(n - 3)**3*(n + 10)**2/7
Solve -l**3/5 - 11*l**2/5 + 5*l - 13/5 = 0 for l.
-13, 1
Solve -g**3 + 19*g**2 - 63*g + 45 = 0.
1, 3, 15
Find w, given that -5*w**3 + 1420*w**2 - 97920*w - 414720 = 0.
-4, 144
What is s in -21*s**5 + 18*s**4 + 444*s**3 - 798*s**2 + 297*s + 60 = 0?
-5, -1/7, 1, 4
Factor 28*j**3 - 20*j**2 - 488*j + 480.
4*(j - 4)*(j - 1)*(7*j + 30)
Let u**2/11 - 32*u/11 - 3 = 0. Calculate u.
-