 1500 = 0. Calculate h.
-5, 5, 12
Factor a**3/4 - 27*a**2/4 - 7*a.
a*(a - 28)*(a + 1)/4
Let 4*l**5/3 + 62*l**4/3 - 340*l**3/3 - 506*l**2/3 + 260*l = 0. What is l?
-39/2, -2, 0, 1, 5
Find g, given that -345*g**5 - 605*g**4 + 65*g**3 + 585*g**2 + 280*g + 20 = 0.
-1, -2/3, -2/23, 1
Let -5*p**2 - 190*p - 1805 = 0. What is p?
-19
Determine p so that 3*p**3/7 + 1011*p**2/7 + 86673*p/7 + 251001/7 = 0.
-167, -3
What is s in -27*s**3/7 - 1476*s**2/7 + 2004*s/7 - 96 = 0?
-56, 2/3
What is t in -3*t**3/5 + 18*t**2/5 - 24*t/5 = 0?
0, 2, 4
Suppose 2*w**2 + 4*w - 2886 = 0. Calculate w.
-39, 37
Factor -2*y**2/13 - 2*y/13 + 12/13.
-2*(y - 2)*(y + 3)/13
Suppose -5*y**4 + 70*y**3 + 240*y**2 + 250*y + 85 = 0. What is y?
-1, 17
Factor -2*f**3/3 - 56*f**2/3 + 58*f/3.
-2*f*(f - 1)*(f + 29)/3
Let -4*r**2 - 144*r - 1296 = 0. What is r?
-18
Determine s so that -3*s**2/8 + 123*s/4 - 5043/8 = 0.
41
Suppose t**3/6 - 191*t**2/2 = 0. What is t?
0, 573
Find l, given that -5*l**2/4 - 25745*l/2 - 132561005/4 = 0.
-5149
Factor 2*r**2 - 4590*r.
2*r*(r - 2295)
Factor -5*w**4 + 5*w**3 + 160*w**2 - 300*w.
-5*w*(w - 5)*(w - 2)*(w + 6)
Factor p**2/3 + 1081*p/3.
p*(p + 1081)/3
Factor p**5/4 - p**4 - p**3/2 + 3*p**2 + 9*p/4.
p*(p - 3)**2*(p + 1)**2/4
Suppose 3*a**4/5 - 216*a**3/5 + 1026*a**2/5 - 1416*a/5 + 603/5 = 0. What is a?
1, 3, 67
Factor -3*a**3/2 + 57*a**2/2.
-3*a**2*(a - 19)/2
Factor 3*c**5 - 6*c**4 - 9*c**3 + 12*c**2 + 12*c.
3*c*(c - 2)**2*(c + 1)**2
Determine g so that -2*g**2 + 182*g + 2244 = 0.
-11, 102
Factor 3*f**3/2 - 171*f**2 + 9027*f/2 + 20886.
3*(f - 59)**2*(f + 4)/2
Factor 3*n**2/5 + 84*n/5 - 228.
3*(n - 10)*(n + 38)/5
Factor -397535000*j**3 - 2773500*j**2 - 6450*j - 5.
-5*(430*j + 1)**3
Factor 2*o**3 - 24*o**2 + 82*o - 60.
2*(o - 6)*(o - 5)*(o - 1)
Factor a**2/9 + 40*a/9 - 28/3.
(a - 2)*(a + 42)/9
Find h, given that -h**2 - 54*h + 55 = 0.
-55, 1
Factor -r**4/4 - 15*r**3/4 - 13*r**2/2.
-r**2*(r + 2)*(r + 13)/4
Factor -3*f**2 - 906*f - 68403.
-3*(f + 151)**2
Solve -3*w**5 + 45*w**4 - 186*w**3 + 102*w**2 + 189*w - 147 = 0 for w.
-1, 1, 7
Factor 4*o**4 + 80*o**3 + 528*o**2 + 1280*o + 1024.
4*(o + 2)**2*(o + 8)**2
Factor -3*h**2 - 14091*h - 14088.
-3*(h + 1)*(h + 4696)
Let -11*u**3/5 - 6*u**2 - 27*u/5 - 8/5 = 0. What is u?
-1, -8/11
Factor 2*y**2 - 1880*y + 441800.
2*(y - 470)**2
Factor 3*v**3/4 + 387*v**2/4 + 3168*v + 3072.
3*(v + 1)*(v + 64)**2/4
Determine q so that 14*q**3 - 264*q**2 + 1350*q - 972 = 0.
6/7, 9
What is n in -4*n**3 + 16*n**2 + 112*n + 128 = 0?
-2, 8
Factor 4*o**4 + 28*o**3 - 68*o**2 + 36*o.
4*o*(o - 1)**2*(o + 9)
Factor -3*h**2/5 + 123*h/5 + 126/5.
-3*(h - 42)*(h + 1)/5
Factor 4*b**2/3 - 64*b + 2108/3.
4*(b - 31)*(b - 17)/3
Let -2*x**2 + 44*x = 0. What is x?
0, 22
Solve o**4/5 + o**3/5 - 22*o**2/5 + 44*o/5 - 24/5 = 0.
-6, 1, 2
Factor -3*f**3 + 42*f**2.
-3*f**2*(f - 14)
Factor 2*f**3/9 - 842*f**2/3 + 88198*f + 267126.
2*(f - 633)**2*(f + 3)/9
Suppose w**3/5 - 12*w**2/5 + 39*w/5 - 28/5 = 0. What is w?
1, 4, 7
Factor 5*f**2 - 45*f - 260.
5*(f - 13)*(f + 4)
Let 1058*d**2 - 92*d + 2 = 0. What is d?
1/23
Suppose -2*z**4/9 - 98*z**3/3 - 1184*z**2 + 10952*z/9 = 0. Calculate z.
-74, 0, 1
Factor -2*g**3 - 6*g**2 + 20*g.
-2*g*(g - 2)*(g + 5)
Suppose c**4 - 30*c**3 + 253*c**2 - 420*c + 196 = 0. What is c?
1, 14
Factor 3*p**3 + 9*p**2 - 3*p - 9.
3*(p - 1)*(p + 1)*(p + 3)
Suppose -3*n**2 + 165*n - 1008 = 0. Calculate n.
7, 48
Factor a**3/2 + 5*a**2 - 175*a/2 + 250.
(a - 5)**2*(a + 20)/2
Let 3*j**3 - 843*j**2 + 57057*j + 306735 = 0. What is j?
-5, 143
Solve -2*j**5/3 - 40*j**4/3 - 24*j**3 = 0.
-18, -2, 0
Let 245*w**4 + 4795*w**3 + 25675*w**2 + 21125*w = 0. What is w?
-65/7, -1, 0
Factor -s**3/3 - 5*s**2 - 8*s/3 + 28.
-(s - 2)*(s + 3)*(s + 14)/3
Factor 2*j**5 - 6*j**4 - 48*j**3 + 16*j**2 + 288*j + 288.
2*(j - 6)*(j - 3)*(j + 2)**3
Find a, given that -4*a**3 - 188*a**2 + 4*a + 188 = 0.
-47, -1, 1
Factor -3*u**3 - 42*u**2 - 177*u - 210.
-3*(u + 2)*(u + 5)*(u + 7)
What is i in i**2 - 3*i - 28 = 0?
-4, 7
Determine z, given that 5*z**4 + 15*z**3 = 0.
-3, 0
Solve -2*g**3 - 16*g**2 = 0 for g.
-8, 0
Factor b**2 + 65*b - 350.
(b - 5)*(b + 70)
What is b in -5*b**5 + 10*b**4 - 10*b**2 + 5*b = 0?
-1, 0, 1
Find c, given that 5*c**4 - 45*c**3 + 65*c**2 + 225*c - 250 = 0.
-2, 1, 5
Determine l so that -l**2 + 71*l = 0.
0, 71
Let -2*i**5/3 + 26*i**4/3 + 32*i**3 - 1008*i**2 + 5472*i - 9504 = 0. What is i?
-11, 6
Factor l**4 - 7*l**3 - 15*l**2 + 175*l - 250.
(l - 5)**2*(l - 2)*(l + 5)
Solve k**2/4 - 197*k/2 + 38809/4 = 0.
197
What is h in -5*h**2 + 175*h - 480 = 0?
3, 32
Factor -4*k**2 + 1752*k - 191844.
-4*(k - 219)**2
Factor -o**5 - 18*o**4 - 14*o**3 + 56*o**2 + 87*o + 34.
-(o - 2)*(o + 1)**3*(o + 17)
Factor -4*l**3/9 - 4*l**2/3 + 136*l/9 - 64/3.
-4*(l - 3)*(l - 2)*(l + 8)/9
Factor 2*g**3/15 - 64*g**2/15 + 38*g - 60.
2*(g - 15)**2*(g - 2)/15
Factor r**2 - 66*r - 67.
(r - 67)*(r + 1)
Let 4*s**4 + 28*s**3 - 156*s**2 + 212*s - 88 = 0. What is s?
-11, 1, 2
Factor o**2/2 - 27*o/2 + 81.
(o - 18)*(o - 9)/2
Factor -d**3/4 + d**2/4 + 49*d/4 - 49/4.
-(d - 7)*(d - 1)*(d + 7)/4
Suppose -192*a**2 - 8592*a - 96123 = 0. Calculate a.
-179/8
Determine o so that -5*o**3 - 55*o**2 - 75*o + 135 = 0.
-9, -3, 1
Let 5*s**4 - 57*s**3 + 152*s**2 - 132*s + 32 = 0. What is s?
2/5, 1, 2, 8
Factor 2*x**2 - 322*x + 320.
2*(x - 160)*(x - 1)
Factor t**3/8 - 22*t**2 + 968*t.
t*(t - 88)**2/8
Factor 3*n**3 + 174*n**2 + 2523*n.
3*n*(n + 29)**2
Find i, given that -i**2 + 2070*i - 2069 = 0.
1, 2069
Let -10*t**2/3 + 281*t - 84 = 0. Calculate t.
3/10, 84
Solve -2*z**3/9 - 16*z**2/9 + 2*z/9 + 16/9 = 0 for z.
-8, -1, 1
Find d such that d**4/3 + 2*d**3/3 - 17*d**2 - 212*d/3 - 160/3 = 0.
-5, -4, -1, 8
Let p**4/3 + 5*p**3/3 - 2*p**2 = 0. What is p?
-6, 0, 1
Find n such that -5*n**4 - 85*n**3 - 300*n**2 = 0.
-12, -5, 0
Factor m**4/2 - 34*m**3 + 1085*m**2/2 + 1225*m.
m*(m - 35)**2*(m + 2)/2
Factor a**2 + 9*a + 14.
(a + 2)*(a + 7)
What is w in -4*w**5 - 164*w**4 + 8*w**3 + 328*w**2 - 4*w - 164 = 0?
-41, -1, 1
Suppose 5*r**4 + 50*r**3 + 165*r**2 + 220*r + 100 = 0. What is r?
-5, -2, -1
What is u in -16*u**4 + 44*u**3 - 8*u**2 - 44*u + 24 = 0?
-1, 3/4, 1, 2
Solve -4*l**3 - 28*l**2 + 196*l + 1372 = 0 for l.
-7, 7
Factor 5*p**2 + 390*p - 395.
5*(p - 1)*(p + 79)
Factor -20*z**2/3 - 273*z + 41/3.
-(z + 41)*(20*z - 1)/3
Let 2*z**3/11 + 1194*z**2/11 - 2394*z/11 + 1198/11 = 0. What is z?
-599, 1
Let 5*x**2/4 = 0. Calculate x.
0
Factor -c**4/4 - c**3 + c**2/4 + c.
-c*(c - 1)*(c + 1)*(c + 4)/4
Factor -3*u**2 - 102*u - 867.
-3*(u + 17)**2
Suppose d**3/2 + 14*d**2/3 + 11*d/2 + 4/3 = 0. Calculate d.
-8, -1, -1/3
Factor -z**4/2 - 9*z**3/2 - 7*z**2/2 + 9*z/2 + 4.
-(z - 1)*(z + 1)**2*(z + 8)/2
Suppose a**2 - 4642*a + 5387041 = 0. Calculate a.
2321
Determine z so that 5*z**5 + 25*z**4 + 30*z**3 - 10*z**2 - 35*z - 15 = 0.
-3, -1, 1
Factor 3*n**2 + 147*n - 150.
3*(n - 1)*(n + 50)
Factor -x**4/4 - 5*x**3 + 21*x**2/4.
-x**2*(x - 1)*(x + 21)/4
Determine o so that -2*o**2/13 + 70*o/13 + 2200/13 = 0.
-20, 55
Solve -3*j**3 - 195*j**2 - 381*j - 189 = 0 for j.
-63, -1
Factor -5*m**2/4 + 12*m + 5.
-(m - 10)*(5*m + 2)/4
Find k such that 4*k**5 - 60*k**4 + 200*k**3 - 280*k**2 + 180*k - 44 = 0.
1, 11
Solve -4*u**5 - 112*u**4 - 664*u**3 + 1680*u**2 - 900*u = 0 for u.
-15, 0, 1
Factor 5*h**2 - 450*h + 8505.
5*(h - 63)*(h - 27)
What is n in 4*n**5/3 - 20*n**3 + 40*n**2/3 + 32*n = 0?
-4, -1, 0, 2, 3
Solve -2*z**5/3 - 2*z**4 + 10*z**3/3 + 10*z**2 - 8*z/3 - 8 = 0 for z.
-3, -2, -1, 1, 2
Factor -36*w**3 + 52*w - 16.
-4*(w - 1)*(3*w - 1)*(3*w + 4)
Solve -4*k**2 - 40*k = 0 for k.
-10, 0
Factor -h**2 - 2182*h - 1190281.
-(h + 1091)**2
Let i**3 - 77*i**2/4 - 245*i/4 + 33/2 = 0. What is i?
-3, 1/4, 22
Factor b**3/4 - 3*b**2/4 + b/2.
b*(b - 2)*(b - 1)/4
Factor 3*b**5 + 15*b**4 - 21*b**3 - 15*b**2 + 18*b.
3*b*(b - 1)**2*(b + 1)*(b + 6)
Find d, given that -5*d**3 + 125*d**2 = 0.
0, 25
Factor a**2/5 + 60*a + 4500.
(a + 150)**2/5
Solve 45*r**2 - 174*r - 24 = 0.
-2/15, 4
Factor -4*i**5 + 8*i**4 + 12*i**3 - 16*i**2 - 16*i.
-4*i*(i - 2)**2*(i + 1)**2
Factor 5*x**2 + 300*x - 620.
5*(x - 2)*(x + 62)
Factor 3*o**2 - 42*o.
3*o*(o - 14)
Determine n so that 1125*n**5 - 5700*n**4 + 4850*n**3 - 176*n**2 - 95*n - 4 = 0.
-1/15, 1/5, 1, 4
Factor t**4 + 4*t**3 + 3*t**2 - 4*t - 4.
(t - 1)*(