iven that -3*u**3 - 12*u**2 - 3*u + 18 = 0.
-3, -2, 1
Factor 5*r**2 + 1750*r + 1745.
5*(r + 1)*(r + 349)
Factor 300*i**3 - 3180*i**2 + 1827*i - 270.
3*(i - 10)*(10*i - 3)**2
Factor 4*i**2 + 200*i + 384.
4*(i + 2)*(i + 48)
Factor -2*u**2/13 - 1056*u/13 - 139392/13.
-2*(u + 264)**2/13
Solve 4*k**2 + 348*k - 352 = 0 for k.
-88, 1
Suppose -2*k**3 - 28224*k**2 - 132765696*k - 208176611328 = 0. Calculate k.
-4704
Factor b**4/3 - 23*b**3/3 + 160*b**2/3 - 100*b.
b*(b - 10)**2*(b - 3)/3
Factor -4*w**2 - 34*w - 16.
-2*(w + 8)*(2*w + 1)
Determine k, given that 4*k**4/3 - 16*k**3 + 48*k**2 = 0.
0, 6
Factor n**2 - 90*n + 2025.
(n - 45)**2
What is l in -66*l**3 + 38*l**2 + 160*l + 56 = 0?
-1, -14/33, 2
Find i such that 5*i**2 + 5*i - 150 = 0.
-6, 5
Find n such that -3*n**4 + 6*n**3 + 15*n**2 - 18*n = 0.
-2, 0, 1, 3
Determine l so that -l**2/2 + 250*l + 502 = 0.
-2, 502
Factor -3*i**3 + 474*i**2 - 939*i + 468.
-3*(i - 156)*(i - 1)**2
Factor 2*j**2/7 + 82*j/7 + 800/7.
2*(j + 16)*(j + 25)/7
Solve -g**3/3 + 2092*g**2/3 + 4187*g/3 + 698 = 0 for g.
-1, 2094
Determine z, given that -z**4 + 11*z**3 - 33*z**2 + 37*z - 14 = 0.
1, 2, 7
Factor -3*v**2/7 - 45*v/7 + 228/7.
-3*(v - 4)*(v + 19)/7
Find u, given that -58*u**5/5 + 286*u**4/5 + 368*u**3/5 + 24*u**2/5 = 0.
-1, -2/29, 0, 6
Factor 3*s**3 - 58*s**2 - 41*s + 20.
(s - 20)*(s + 1)*(3*s - 1)
Factor -2*k**2 + 206*k + 1080.
-2*(k - 108)*(k + 5)
Let -4*o**2/7 - 2*o - 6/7 = 0. What is o?
-3, -1/2
Suppose n**4/5 - 2*n**3/5 = 0. What is n?
0, 2
What is d in 3*d**5 - 12*d**4 - 21*d**3 + 102*d**2 - 72*d = 0?
-3, 0, 1, 2, 4
Factor 2*j**2/7 - 40*j/7 + 72/7.
2*(j - 18)*(j - 2)/7
Solve -225*n**4 + 285*n**3 + 12*n**2 - 36*n = 0.
-1/3, 0, 2/5, 6/5
Factor -2*u**3/3 - 1994*u**2/3 - 664*u.
-2*u*(u + 1)*(u + 996)/3
Determine y, given that -18*y**5/7 - 24*y**4/7 + 10*y**3/7 + 24*y**2/7 + 8*y/7 = 0.
-1, -2/3, 0, 1
Factor 18*x**2 + 64*x - 32.
2*(x + 4)*(9*x - 4)
Find i, given that 2*i**3 + 38*i**2 + 180*i + 144 = 0.
-12, -6, -1
Find o such that -5*o**2 + 2955*o = 0.
0, 591
Factor 2*a**2 - 122*a + 1176.
2*(a - 49)*(a - 12)
Factor 2*s**5/9 - 32*s**4/9 - 292*s**3/9 + 1120*s**2/3 + 2450*s.
2*s*(s - 15)**2*(s + 7)**2/9
Let m**2/2 + 383*m + 765/2 = 0. What is m?
-765, -1
Suppose 3*r**4 + 84*r**3 - 2022*r**2 + 11844*r - 19845 = 0. Calculate r.
-45, 3, 7
Let 3*i**4 - 396*i**3 + 2991*i**2 - 1710*i - 18600 = 0. What is i?
-2, 5, 124
Determine l, given that -3*l**4 - 7*l**3 + 38*l**2/3 + 68*l/3 + 8 = 0.
-3, -2/3, 2
Determine q so that -2*q**4/5 - 10*q**3 - 246*q**2/5 - 342*q/5 = 0.
-19, -3, 0
What is k in -7*k**3 + 3047*k**2 - 3908*k + 868 = 0?
2/7, 1, 434
Find y such that -2*y**5/7 - 6*y**4/7 = 0.
-3, 0
Factor -m**2/6 - 15*m/2 + 23/3.
-(m - 1)*(m + 46)/6
Factor 3*y**3/5 - 15972*y**2/5.
3*y**2*(y - 5324)/5
Find m, given that -5*m**2 - 275*m - 2250 = 0.
-45, -10
Factor -14*p**4 - 18*p**3 + 24*p**2 + 8*p.
-2*p*(p - 1)*(p + 2)*(7*p + 2)
Solve 4*p**5 + 60*p**4 - 292*p**3 + 244*p**2 + 288*p - 304 = 0 for p.
-19, -1, 1, 2
Factor -2*s**4 + 34*s**3 - 62*s**2 + 30*s.
-2*s*(s - 15)*(s - 1)**2
Factor -2*p**3/13 - 38*p**2/13 - 148*p/13 - 112/13.
-2*(p + 1)*(p + 4)*(p + 14)/13
Solve 5*x**3 - 1335*x**2 + 3940*x + 5280 = 0.
-1, 4, 264
Determine a, given that -4*a**2 + 1344*a - 112896 = 0.
168
Factor -9*j**2 - 318*j + 216.
-3*(j + 36)*(3*j - 2)
Factor 8*u**3 - 194*u**2 + 1200*u - 288.
2*(u - 12)**2*(4*u - 1)
Suppose -2*i**2 + 764*i - 72962 = 0. Calculate i.
191
Find r, given that 9*r**5/8 + 15*r**4/8 - 6*r**3 - 9*r**2/2 = 0.
-3, -2/3, 0, 2
Factor m**2/2 + 13*m/2.
m*(m + 13)/2
Factor 4*p**3/7 + 11*p**2/7 + 6*p/7.
p*(p + 2)*(4*p + 3)/7
Factor t**2/6 + 5*t/6 - 14.
(t - 7)*(t + 12)/6
Find m, given that 4*m**5/21 - 2*m**4/3 + 2*m**3/3 - 4*m**2/21 = 0.
0, 1/2, 1, 2
Find u such that 2*u**3/9 - 550*u**2/9 + 548*u/9 = 0.
0, 1, 274
Factor 16*r**4 - 132*r**3 + 112*r**2 + 780*r - 200.
4*(r - 5)**2*(r + 2)*(4*r - 1)
Factor g**2/8 + 3433*g/4 + 11785489/8.
(g + 3433)**2/8
Let 2*w**3/3 + 4*w**2 = 0. What is w?
-6, 0
Factor -b**5 + 20*b**4 + 22*b**3 - 20*b**2 - 21*b.
-b*(b - 21)*(b - 1)*(b + 1)**2
Factor f**3/5 - 6*f**2/5 + 11*f/5 - 6/5.
(f - 3)*(f - 2)*(f - 1)/5
Factor -x**2/6 + 19*x/3 + 41/2.
-(x - 41)*(x + 3)/6
Let 5*a**4 - 60*a**3 - 35*a**2 + 390*a + 360 = 0. Calculate a.
-2, -1, 3, 12
Let -3*g**2/5 + 42*g/5 - 99/5 = 0. What is g?
3, 11
Factor -5*x**4 - 50*x**3 - 185*x**2 - 300*x - 180.
-5*(x + 2)**2*(x + 3)**2
Factor 4*q**2 + 3640*q + 7264.
4*(q + 2)*(q + 908)
Factor 2*l**3/7 + 138*l**2/7 - 432*l/7.
2*l*(l - 3)*(l + 72)/7
Factor 3*g**2 + 336*g + 9408.
3*(g + 56)**2
What is x in 2*x**4/5 - 4*x**3 + 72*x**2/5 - 112*x/5 + 64/5 = 0?
2, 4
Suppose -2*k**5/7 + 16*k**4/7 - 12*k**3/7 - 16*k**2/7 + 2*k = 0. What is k?
-1, 0, 1, 7
Solve -j**3 - 18*j**2 + 61*j - 42 = 0.
-21, 1, 2
Determine z, given that -z**3/9 - 10*z**2/9 - z = 0.
-9, -1, 0
Factor -w**3/2 + 11*w**2/2 - 20*w + 24.
-(w - 4)**2*(w - 3)/2
Suppose 2*m**2/7 + 298*m/7 - 300/7 = 0. What is m?
-150, 1
Determine s, given that 2*s**4/5 + 26*s**3/3 - 326*s**2/15 + 238*s/15 - 16/5 = 0.
-24, 1/3, 1
Determine d, given that -3*d**4/2 - 51*d**3/2 - 297*d**2/2 - 729*d/2 - 324 = 0.
-8, -3
Let 3*s**2/2 + 1701*s/4 - 213 = 0. Calculate s.
-284, 1/2
Determine g, given that -9*g**5 + 174*g**4 + 507*g**3 + 456*g**2 + 132*g = 0.
-1, -2/3, 0, 22
Factor 7203*c**5 - 246960*c**4 + 540960*c**3 - 456960*c**2 + 172800*c - 24576.
3*(c - 32)*(7*c - 4)**4
Factor -v**2 - 250*v - 15625.
-(v + 125)**2
Determine b, given that -2*b**2/3 + 3326*b/3 = 0.
0, 1663
Factor -6*j**4 - 39*j**3 - 81*j**2 - 54*j.
-3*j*(j + 2)*(j + 3)*(2*j + 3)
Factor -x**2 - 560*x - 78400.
-(x + 280)**2
Factor 2*g**3/15 + 466*g**2/15 - 156*g/5.
2*g*(g - 1)*(g + 234)/15
Solve -v**2/3 + 35*v/3 - 286/3 = 0.
13, 22
Solve -2*y**5/11 - 32*y**4/11 - 130*y**3/11 - 100*y**2/11 = 0.
-10, -5, -1, 0
Suppose 2*v**2/5 + 9044*v/5 + 10224242/5 = 0. Calculate v.
-2261
Factor b**5 - 12*b**4 + 11*b**3.
b**3*(b - 11)*(b - 1)
Factor 2*d**2 - 96*d - 306.
2*(d - 51)*(d + 3)
What is c in -15*c**5 + 519*c**4 - 3735*c**3 - 2103*c**2 + 3750*c + 1584 = 0?
-1, -2/5, 1, 11, 24
Factor -u**3 + 40*u**2 - 73*u - 114.
-(u - 38)*(u - 3)*(u + 1)
What is u in 3*u**3/5 + 207*u**2/5 + 594*u/5 = 0?
-66, -3, 0
Solve -12*t**5 - 4*t**4 + 152*t**3 - 96*t**2 = 0 for t.
-4, 0, 2/3, 3
Factor -4*j**2 - 32*j + 960.
-4*(j - 12)*(j + 20)
Factor 2*m**3/9 - 14*m**2/3 + 98*m/3 - 686/9.
2*(m - 7)**3/9
Suppose -5*q**2 - 110*q - 285 = 0. What is q?
-19, -3
Determine f so that -f**2 - 68*f + 693 = 0.
-77, 9
Factor -2*r**2/5 + 1020*r - 650250.
-2*(r - 1275)**2/5
Determine i, given that -4*i**4 - 418*i**3/15 + 74*i**2/15 + 418*i/15 - 14/15 = 0.
-7, -1, 1/30, 1
Factor -j**3/4 - 7*j**2/2 - 21*j/4 + 9.
-(j - 1)*(j + 3)*(j + 12)/4
Suppose 100*y**4/9 - 340*y**3 - 11792*y**2/9 + 880*y - 1088/9 = 0. What is y?
-4, 1/5, 2/5, 34
Factor -k**3/7 - k**2/7 + 2*k/7.
-k*(k - 1)*(k + 2)/7
Find i such that -3*i**2/4 - 71*i/4 - 23/2 = 0.
-23, -2/3
What is a in -4*a**5/3 - 4*a**4 + 12*a**3 + 36*a**2 = 0?
-3, 0, 3
Factor -14*v**2 - 136*v/5 + 8/5.
-2*(v + 2)*(35*v - 2)/5
Find g such that g**4 + 6419*g**3 + 10304099*g**2 + 10297681*g = 0.
-3209, -1, 0
Solve -54*i**2/7 - 103608*i/7 - 49697304/7 = 0 for i.
-2878/3
Find t, given that -1156*t**2/9 - 2720*t/9 - 1600/9 = 0.
-20/17
Factor -2*v**4/5 - 2*v**3/5 + 12*v**2/5.
-2*v**2*(v - 2)*(v + 3)/5
What is b in 5*b**5 - 65*b**4 - 25*b**3 + 2485*b**2 - 1960*b - 27440 = 0?
-4, 7
Factor -d**4/2 - 4*d**3 - 11*d**2 - 12*d - 9/2.
-(d + 1)**2*(d + 3)**2/2
Factor -h**2 + 162*h - 6561.
-(h - 81)**2
Factor -4*d**2 - 472*d.
-4*d*(d + 118)
Factor -2*l**3/3 + 20*l**2 - 168*l + 784/3.
-2*(l - 14)**2*(l - 2)/3
Determine l so that l**2/5 - 2144*l/5 + 1149184/5 = 0.
1072
Solve -4*p**4 + 32*p**3 + 12*p**2 - 88*p - 64 = 0 for p.
-1, 2, 8
Let 20*w**5 + 228*w**4 - 152*w**3 - 5216*w**2 + 3072*w + 2048 = 0. What is w?
-8, -2/5, 1, 4
Factor -3*j**2 - 84*j - 288.
-3*(j + 4)*(j + 24)
Determine y so that -177*y**2/4 + 357*y/4 - 3/2 = 0.
1/59, 2
Factor -s**2/4 + 2*s - 3.
-(s - 6)*(s - 2)/4
Factor -32*j**4 + 284*j**3 - 220*j**2 - 32*j.
-4*j*(j - 8)*(j - 1)*(8*j + 1)
Determine t so that -4*t**3/3 - 244*t**2/3 - 1280*t - 1200 = 0.
-30, -1
Find x such that x**5/2 + 7*x**4 - 10*x**3 - 300*x**2 = 0.
-10, 0, 6
Let 5*k**3 - 45*k**2 - 600*k + 5500 = 0. Calcul