0.
-1, 2
Factor 2*j**2 + 8*j/7 - 102/7.
2*(j + 3)*(7*j - 17)/7
Suppose -2*z**5/5 - 8*z**4/5 + 12*z**3/5 + 8*z**2/5 - 2*z = 0. What is z?
-5, -1, 0, 1
Factor 2*l**3 + 78*l**2 - 2*l - 78.
2*(l - 1)*(l + 1)*(l + 39)
Let -p**3/7 - 72*p**2 - 62997*p/7 + 128018/7 = 0. What is p?
-253, 2
Factor b**3/5 - 4*b**2/5 - 12*b/5.
b*(b - 6)*(b + 2)/5
What is r in 2*r**4/15 - 242*r**3/15 + 496*r**2 - 480*r = 0?
0, 1, 60
Find n, given that 2*n**2/7 - 3446*n/7 + 492 = 0.
1, 1722
Suppose 175*u**4 + 645*u**3 - 1370*u**2 - 1140*u - 200 = 0. What is u?
-5, -2/5, -2/7, 2
Find j such that j**5/4 - 5*j**4/2 - 25*j**3/4 + 5*j**2/2 + 6*j = 0.
-2, -1, 0, 1, 12
Solve -2*k**2/13 + 360*k/13 + 362/13 = 0.
-1, 181
Find l such that l**5/3 + 9*l**4 + 175*l**3/3 + 155*l**2 + 544*l/3 + 76 = 0.
-19, -3, -2, -1
Find m such that -73*m**2 - 367*m/5 - 2/5 = 0.
-1, -2/365
Factor -y**3 + 3*y**2 + 34*y - 120.
-(y - 5)*(y - 4)*(y + 6)
What is a in 3*a**2 - 30*a + 27 = 0?
1, 9
Factor -2*n**2/19 - 144*n/19 - 1134/19.
-2*(n + 9)*(n + 63)/19
What is i in i**3/3 - 3*i**2 - i/3 + 3 = 0?
-1, 1, 9
Determine r, given that -2*r**3 + 50*r**2 - 312*r = 0.
0, 12, 13
Determine b so that -3*b**2/4 - 753*b = 0.
-1004, 0
Let 2*s**2 + 310*s - 312 = 0. Calculate s.
-156, 1
Let 2*p**2/7 + 2*p + 12/7 = 0. Calculate p.
-6, -1
Find o such that -2*o**3/11 - 2*o**2 + 84*o/11 = 0.
-14, 0, 3
Factor 8*k**4 + 30*k**3 + 24*k**2 - 8*k.
2*k*(k + 2)**2*(4*k - 1)
Let -8*o**5 - 44*o**4 + 240*o**3 - 140*o**2 - 272*o + 144 = 0. Calculate o.
-9, -1, 1/2, 2
Determine c so that c**2/4 + 275*c/2 + 75625/4 = 0.
-275
Factor -5*s**4 + 40*s**3 - 55*s**2 - 100*s.
-5*s*(s - 5)*(s - 4)*(s + 1)
Factor 5*o**4/2 + 320*o**3 + 10555*o**2 + 20160*o + 19845/2.
5*(o + 1)**2*(o + 63)**2/2
What is z in 3*z**2 - 582*z + 28227 = 0?
97
Factor -3*r**4 - 39*r**3 - 162*r**2 - 216*r.
-3*r*(r + 3)*(r + 4)*(r + 6)
Factor 2*u**3 + 74*u**2 + 782*u + 1734.
2*(u + 3)*(u + 17)**2
Let -2*k**2/7 + 18*k/7 - 4 = 0. What is k?
2, 7
Factor 4*y**2 + 40*y + 36.
4*(y + 1)*(y + 9)
Factor -3*f**2/2 + 7899*f/2 + 3951.
-3*(f - 2634)*(f + 1)/2
Factor -u**4/5 - 2*u**3/5 + 12*u**2/5 + 18*u/5 - 27/5.
-(u - 3)*(u - 1)*(u + 3)**2/5
Find m such that 12*m**4 - 76*m**3 + 80*m**2 + 208*m - 320 = 0.
-5/3, 2, 4
Find t such that -11*t**5 + 8*t**4 + 14*t**3 - 8*t**2 - 3*t = 0.
-1, -3/11, 0, 1
What is p in -2*p**2 - 200*p + 202 = 0?
-101, 1
Let -196*s**5 - 308*s**4 + 264*s**3 + 208*s**2 + 32*s = 0. Calculate s.
-2, -2/7, 0, 1
Find i, given that i**3/7 - i**2/7 - 4*i/7 + 4/7 = 0.
-2, 1, 2
Factor -2*a**2 - 6*a + 260.
-2*(a - 10)*(a + 13)
Factor 4*b**2 - 56*b - 60.
4*(b - 15)*(b + 1)
Solve 6*f**4/25 + 44*f**3/25 + 14*f**2/5 - 8*f/25 - 8/5 = 0 for f.
-5, -2, -1, 2/3
Let y**4 - 13*y**3 + 56*y**2 - 92*y + 48 = 0. Calculate y.
1, 2, 4, 6
Factor 3*w**4 - 108*w**3 + 1074*w**2 - 1836*w + 867.
3*(w - 17)**2*(w - 1)**2
Factor -3*o**2/2 - 51*o/2 - 108.
-3*(o + 8)*(o + 9)/2
Solve -4*m**3 + 376*m**2 + 764*m + 384 = 0 for m.
-1, 96
What is u in -u**2/3 - 13*u/3 + 16 = 0?
-16, 3
Let 3*z**2 - 81*z - 840 = 0. Calculate z.
-8, 35
Factor -y**2/5 + 12*y/5.
-y*(y - 12)/5
Factor -2*j**4 + 22*j**3 + 24*j**2 - 296*j + 352.
-2*(j - 11)*(j - 2)**2*(j + 4)
Solve -15*g**4 - 9*g**3 + 21*g**2 + 9*g - 6 = 0.
-1, 2/5, 1
Factor 20*j**3 + 78*j**2 - 300*j + 128.
2*(j - 2)*(2*j - 1)*(5*j + 32)
Factor 5*f**5 + 70*f**4 - 340*f**3 + 360*f**2.
5*f**2*(f - 2)**2*(f + 18)
Factor -3*m**3 + 45*m**2 + 3*m - 45.
-3*(m - 15)*(m - 1)*(m + 1)
Find q, given that -2*q**3 - 120*q**2 - 1674*q + 3844 = 0.
-31, 2
Factor -8*o**2/13 + 166*o/13 - 426/13.
-2*(o - 3)*(4*o - 71)/13
Find n, given that -105*n**4 - 1325*n**3 - 2960*n**2 + 7660*n + 2400 = 0.
-8, -6, -2/7, 5/3
Factor 2*x**3/3 - 7*x**2/3 - 2*x/3 + 7/3.
(x - 1)*(x + 1)*(2*x - 7)/3
Determine k so that k**2/10 + 26*k/5 + 51/10 = 0.
-51, -1
Factor i**5 + 1084*i**4 + 294846*i**3 + 586444*i**2 + 292681*i.
i*(i + 1)**2*(i + 541)**2
Factor 5*g**3 - 425*g**2 + 2780*g - 3900.
5*(g - 78)*(g - 5)*(g - 2)
Suppose -4*t**2/5 - 224*t/5 - 44 = 0. What is t?
-55, -1
What is i in i**3/2 - 15*i**2/2 - 11*i + 48 = 0?
-3, 2, 16
Factor x**5 - 8*x**4 + 22*x**3 - 28*x**2 + 17*x - 4.
(x - 4)*(x - 1)**4
Factor -2*i**3/7 - 4*i**2/7 + 50*i/7 + 100/7.
-2*(i - 5)*(i + 2)*(i + 5)/7
What is s in 10*s**4/17 + 214*s**3/17 + 284*s**2/17 + 80*s/17 = 0?
-20, -1, -2/5, 0
Factor -4*h**3/15 + 22*h**2/15 - 8*h/5 - 6/5.
-2*(h - 3)**2*(2*h + 1)/15
Find d, given that 128*d**2/7 + 288*d/7 + 162/7 = 0.
-9/8
Find x such that 15*x**3 - 39*x**2 - 18*x = 0.
-2/5, 0, 3
Factor -4*c**5 + 20*c**4 - 40*c**3 + 40*c**2 - 20*c + 4.
-4*(c - 1)**5
Factor -5*x**5/3 + 45*x**4 + 95*x**3 + 145*x**2/3.
-5*x**2*(x - 29)*(x + 1)**2/3
Let 2*l**4 - 12*l**3 + 18*l**2 - 8*l = 0. Calculate l.
0, 1, 4
Determine f, given that -f**4/8 + 139*f**3/8 - 1185*f**2/8 + 1925*f/8 + 1625/4 = 0.
-1, 5, 130
Solve 2*v**5/15 - 14*v**4/15 + 22*v**3/15 - 2*v**2/3 = 0.
0, 1, 5
Solve -l**3 + 120*l**2 - 4800*l + 64000 = 0 for l.
40
Suppose -3*z**2 - 132*z = 0. Calculate z.
-44, 0
Let -2*f**2 - 182*f + 760 = 0. What is f?
-95, 4
What is f in -16*f**5 - 864*f**4 - 2500*f**3 - 2676*f**2 - 1228*f - 204 = 0?
-51, -1, -1/2
Factor -2*q**5/5 - q**4/5.
-q**4*(2*q + 1)/5
Factor c**5/5 + 6*c**4/5 + 14*c**3/5 + 16*c**2/5 + 9*c/5 + 2/5.
(c + 1)**4*(c + 2)/5
Factor -332*m**2 + 6968*m + 84.
-4*(m - 21)*(83*m + 1)
Suppose 2*h**2 - 3392*h + 1438208 = 0. What is h?
848
Suppose 3*t**4 + 69*t**3 - 327*t**2 - 69*t + 324 = 0. What is t?
-27, -1, 1, 4
Factor -120*n**2 - 305*n - 175.
-5*(3*n + 5)*(8*n + 7)
Factor -4*r**2 - 24*r + 64.
-4*(r - 2)*(r + 8)
Factor -2*k**3/19 - 18*k**2/19 - 52*k/19 - 48/19.
-2*(k + 2)*(k + 3)*(k + 4)/19
Factor -31*f**2/3 + 835*f/3 + 18.
-(f - 27)*(31*f + 2)/3
Find n, given that -n**3 + 23*n**2 - 60*n = 0.
0, 3, 20
Let -10*u**3 - 575*u**2 - 2625*u = 0. What is u?
-105/2, -5, 0
Let -3*m**2/2 - 87*m = 0. Calculate m.
-58, 0
Factor 2*v**3/9 + 626*v**2/3 + 195938*v/3 + 61328594/9.
2*(v + 313)**3/9
Factor -x**3/3 - 55*x**2/3.
-x**2*(x + 55)/3
Factor 3*o**5/4 + o**4 - o**3/4 - o**2/2.
o**2*(o + 1)**2*(3*o - 2)/4
Factor 3*k**4 + 9*k**3 + 9*k**2 + 3*k.
3*k*(k + 1)**3
Factor -32*o**3/7 + 240*o**2/7 + 18*o + 16/7.
-2*(o - 8)*(4*o + 1)**2/7
Let 3*s**2 + 33*s - 180 = 0. What is s?
-15, 4
Suppose -4*k**2 + 268*k - 520 = 0. Calculate k.
2, 65
Determine r, given that r**3/3 + 8*r**2 + 39*r - 338/3 = 0.
-13, 2
Factor 3362*v**2 + 1640*v + 200.
2*(41*v + 10)**2
Factor -2*t**2 + 262*t - 260.
-2*(t - 130)*(t - 1)
Suppose 5*m**2/2 - 40*m - 200 = 0. What is m?
-4, 20
Factor -2*r**2 + 8148*r - 8298738.
-2*(r - 2037)**2
Let 15*f**3 + 204*f**2 + 111*f - 78 = 0. Calculate f.
-13, -1, 2/5
Determine h, given that h**4/2 - 25*h**3/2 + 177*h**2/2 - 283*h/2 + 65 = 0.
1, 10, 13
Factor -25*p**3 - 30*p**2 + 36*p - 8.
-(p + 2)*(5*p - 2)**2
Find v such that v**3/2 - 51*v**2/2 - 105*v/2 - 53/2 = 0.
-1, 53
Factor t**3/8 + 13*t**2/8 + 11*t/4.
t*(t + 2)*(t + 11)/8
Solve x**3 - 8*x**2 - 112*x - 256 = 0 for x.
-4, 16
Let -p**2/6 + 5*p/3 - 3/2 = 0. What is p?
1, 9
Find b such that 25*b**4 - 2030*b**3 + 40389*b**2 + 33292*b + 6724 = 0.
-2/5, 41
Factor -m**4/5 + m**3 - 6*m**2/5.
-m**2*(m - 3)*(m - 2)/5
Let 4*c**4 - 12*c**3 - 12*c**2 + 28*c + 24 = 0. Calculate c.
-1, 2, 3
Factor u**4/2 + 3*u**3 + 6*u**2 + 4*u.
u*(u + 2)**3/2
Factor -5*n**3 + 55*n**2 + 80*n - 1600.
-5*(n - 8)**2*(n + 5)
Solve 2*w**5/21 - 8*w**4/7 + 76*w**3/21 - 32*w**2/21 - 26*w/7 + 8/3 = 0 for w.
-1, 1, 4, 7
Factor -2*n**3 + 900*n**2 + 2714*n + 1812.
-2*(n - 453)*(n + 1)*(n + 2)
Factor c**5 + 11*c**4 - 40*c**3 + 28*c**2.
c**2*(c - 2)*(c - 1)*(c + 14)
Factor -2*w**3/15 - 146*w**2/15 - 316*w/5 - 528/5.
-2*(w + 3)*(w + 4)*(w + 66)/15
Find g such that 4*g**4 - 88*g**3 - 92*g**2 = 0.
-1, 0, 23
Factor -5*b**3/4 + 255*b**2 + 1035*b + 1040.
-5*(b - 208)*(b + 2)**2/4
Factor -2*k**3/7 - 24*k**2/7 - 18*k/7 + 44/7.
-2*(k - 1)*(k + 2)*(k + 11)/7
Let 14*m**2/3 + 166*m/3 - 8 = 0. Calculate m.
-12, 1/7
Factor -18*q**3 + 484*q**2 + 560*q.
-2*q*(q - 28)*(9*q + 10)
Find x, given that -2*x**3 + 76*x**2 - 546*x - 3528 = 0.
-4, 21
Suppose -r**4/3 + 23*r**3/3 + 61*r**2/3 - 263*r/3 - 100 = 0. What is r?
-4, -1, 3, 25
Find j such that 2*j**3/7 - 12*j**2/7 + 22*j/7 - 12/7 = 0.
1, 2, 3
Determine l so that 5*l**5 - 100*l**4 + 705*l**3 - 1890*l**2 + 540*l + 3240 = 0.
-1, 3, 6
Fac