*y**2 = 0.
-225, 0, 3
Determine h so that -14*h**2/17 + 158*h/17 - 44/17 = 0.
2/7, 11
Determine h, given that -2*h**5 + 10*h**4 - 6*h**3 - 10*h**2 + 8*h = 0.
-1, 0, 1, 4
Determine o, given that -o**2/6 + 35*o/6 - 62/3 = 0.
4, 31
Find r, given that -32*r**5/5 + 816*r**4/5 - 2578*r**3/5 + 2546*r**2/5 - 168*r + 88/5 = 0.
1/4, 1, 2, 22
Suppose -c**4 - 425*c**3/3 - 94*c**2 = 0. Calculate c.
-141, -2/3, 0
Factor -l**2 + 16*l - 60.
-(l - 10)*(l - 6)
Factor -a**4/6 + a**3/3.
-a**3*(a - 2)/6
Factor -22*t**4/5 - 14*t**3 + 180*t**2.
-2*t**2*(t - 5)*(11*t + 90)/5
Factor -10*l**2/3 + 4*l/3.
-2*l*(5*l - 2)/3
Determine k, given that -2*k**2/7 + 8*k/7 + 24/7 = 0.
-2, 6
Factor -2*s**3/9 + 16*s**2/9 + 40*s/9.
-2*s*(s - 10)*(s + 2)/9
Factor -5*n**3/2 + 35*n**2 - 125*n/2 + 30.
-5*(n - 12)*(n - 1)**2/2
Find n such that -3*n**3/5 + 882*n**2/5 - 86436*n/5 + 2823576/5 = 0.
98
Solve 24*h**5 + 818*h**4/7 + 1298*h**3/7 + 108*h**2 + 184*h/7 + 16/7 = 0 for h.
-2, -1/3, -2/7, -1/4
Suppose 3*i**4 - 2502*i**3 + 7488*i**2 - 7482*i + 2493 = 0. What is i?
1, 831
Find j, given that -j**5 + 11*j**4/2 - 5*j**3 - 10*j**2 + 6*j + 9/2 = 0.
-1, -1/2, 1, 3
Factor -5*o**3 + 11715*o**2 - 6879600*o + 20533500.
-5*(o - 1170)**2*(o - 3)
Factor 3*o**2 + 135*o + 258.
3*(o + 2)*(o + 43)
Factor 141*p**2 + 441*p + 54.
3*(p + 3)*(47*p + 6)
Let 3*v**2 + 3774*v + 1186923 = 0. What is v?
-629
Determine d, given that -16*d**5/5 - 12*d**4/5 + 544*d**3/5 + 1944*d**2/5 + 432*d + 756/5 = 0.
-3, -1, -3/4, 7
Suppose 2*r**4/7 - 6*r**3/7 - 46*r**2/7 - 66*r/7 - 4 = 0. Calculate r.
-2, -1, 7
What is p in -24*p**3/7 - 453*p**2/7 - 1524*p/7 - 204 = 0?
-119/8, -2
Factor -y**3 - 255*y**2/4 + 81*y - 65/4.
-(y - 1)*(y + 65)*(4*y - 1)/4
Factor 5*a**4 - 1769*a**3 + 156291*a**2 + 31329*a.
a*(a - 177)**2*(5*a + 1)
Factor 4*a**3 + 332*a**2 + 8704*a + 69360.
4*(a + 15)*(a + 34)**2
Factor -u**2 - 1790*u - 801025.
-(u + 895)**2
Solve 25*b**3/3 - 223*b**2/3 - 6*b = 0 for b.
-2/25, 0, 9
Find n, given that 2*n**5 - 2*n**4 - 6*n**3 + 2*n**2 + 4*n = 0.
-1, 0, 1, 2
Solve 2*c**2/9 + 352*c/9 + 334 = 0.
-167, -9
Factor -k**2/4 - 99*k/2 - 9801/4.
-(k + 99)**2/4
Determine x so that -x**4 + 11*x**3 + 14*x**2 - 24*x = 0.
-2, 0, 1, 12
What is h in 2*h**4 - 2068*h**3 + 534578*h**2 = 0?
0, 517
Solve 5*q**5 + 65*q**4 + 310*q**3 + 640*q**2 + 480*q = 0 for q.
-4, -3, -2, 0
Let -m**2/2 - 2*m + 240 = 0. Calculate m.
-24, 20
Determine h, given that h**5/5 + 26*h**4/5 + 4*h**3 - 122*h**2/5 + 15*h = 0.
-25, -3, 0, 1
Factor 3*p**2/2 + 414*p + 825/2.
3*(p + 1)*(p + 275)/2
Suppose -4*j**3 + 9576*j**2 = 0. What is j?
0, 2394
What is q in -229*q**3/3 + 922*q**2/3 + 1121*q/3 - 10 = 0?
-1, 6/229, 5
Suppose 3*h**5/5 - 3*h**4/5 - 12*h**3/5 + 12*h**2/5 = 0. Calculate h.
-2, 0, 1, 2
Factor 5*w**3 + 230*w**2 - 980*w + 1000.
5*(w - 2)**2*(w + 50)
Determine c, given that -4*c**5 + 504*c**4 + 2060*c**3 + 2592*c**2 + 1040*c = 0.
-2, -1, 0, 130
Factor 5*d**2 - 165*d.
5*d*(d - 33)
Let -125*i**5/4 + 475*i**4/2 + 2895*i**3/4 + 260*i**2 + 25*i = 0. What is i?
-2, -1/5, 0, 10
Let -2*s**2/9 - 6*s - 16 = 0. Calculate s.
-24, -3
Find z, given that -3*z**2 - 81*z - 150 = 0.
-25, -2
Let 5*p**3 + 6270*p**2 + 2620860*p + 365173160 = 0. What is p?
-418
Factor x**3 - 16*x**2 + 45*x + 162.
(x - 9)**2*(x + 2)
Determine i so that 2*i**3 + 10*i**2 - 92*i + 80 = 0.
-10, 1, 4
Solve -2*m**3/3 + 202*m**2/3 + 2*m/3 - 202/3 = 0 for m.
-1, 1, 101
Factor 3*m**3/5 - m**2/5 - 24*m/5 - 4.
(m + 1)*(m + 2)*(3*m - 10)/5
Let 3*y**3 - 336*y**2 + 333*y = 0. What is y?
0, 1, 111
Suppose -4*y**3 + 52*y**2 + 56*y = 0. Calculate y.
-1, 0, 14
Find k, given that -4*k**5/7 + 796*k**4/7 + 2448*k**3/7 - 4736*k**2/7 - 22528*k/7 - 19392/7 = 0.
-2, 3, 202
Let -3*d**5/2 - 33*d**4/2 + 3*d**3 + 33*d**2 - 3*d/2 - 33/2 = 0. What is d?
-11, -1, 1
Let -5*u**5/2 + 105*u**4/2 - 275*u**3 - 230*u**2 + 2100*u + 2000 = 0. Calculate u.
-2, -1, 4, 10
Factor 2*j**4 + 37*j**3/2 + 35*j**2 - 75*j/2.
j*(j + 5)**2*(4*j - 3)/2
Solve 15*s**2 + 2658*s + 531 = 0.
-177, -1/5
Determine j so that 5*j**4 - 45*j**3 - 55*j**2 + 45*j + 50 = 0.
-1, 1, 10
Solve n**4/3 - 3*n**3 + 14*n**2/3 + 8*n = 0.
-1, 0, 4, 6
Suppose 2*n**4/9 + 46*n**3/9 - 74*n**2/3 - 14*n + 108 = 0. What is n?
-27, -2, 3
Factor -2*u**3 + 20*u**2 + 22*u.
-2*u*(u - 11)*(u + 1)
Factor 2*u**2 + 2058*u + 2056.
2*(u + 1)*(u + 1028)
Factor -q**4 - 228*q**3 - 12523*q**2 + 54984*q + 67280.
-(q - 5)*(q + 1)*(q + 116)**2
Factor l**4/6 - 5*l**3/6 - 23*l**2/3 - 20*l/3.
l*(l - 10)*(l + 1)*(l + 4)/6
Factor -3*q**4 - 48*q**3 + 120*q**2 + 192*q - 432.
-3*(q - 2)**2*(q + 2)*(q + 18)
Determine s, given that -10*s**5 + 204*s**4 - 1260*s**3 + 2272*s**2 - 1530*s + 324 = 0.
2/5, 1, 9
Factor r**3 + 13*r**2 + 32*r + 20.
(r + 1)*(r + 2)*(r + 10)
Determine q so that -2*q**5/5 - 8*q**4 - 58*q**3 - 188*q**2 - 280*q - 784/5 = 0.
-7, -2
Solve 32*d**2/11 - 354*d/11 + 2 = 0 for d.
1/16, 11
Factor -2187*k**3 - 5751*k**2 + 2355*k - 225.
-3*(k + 3)*(27*k - 5)**2
Factor -2*r**2/17 + 6*r/17 + 36/17.
-2*(r - 6)*(r + 3)/17
Factor 3*i**2/4 + 21*i/2 + 39/4.
3*(i + 1)*(i + 13)/4
Suppose -4*c**3 + 27*c**2 - 33*c - 10 = 0. What is c?
-1/4, 2, 5
Solve -76*n**2/5 - 32*n/5 + 44/5 = 0 for n.
-1, 11/19
Find d such that -5*d**4 - 5310*d**3 + 5325*d**2 + 10630*d = 0.
-1063, -1, 0, 2
Let 3*c**3/2 + 39*c**2/2 - 102*c = 0. Calculate c.
-17, 0, 4
Factor -t**2/3 + 122*t/3 - 3721/3.
-(t - 61)**2/3
Factor -3*a**2 + 24*a - 48.
-3*(a - 4)**2
Find v such that -2*v**2/7 + 18*v + 260/7 = 0.
-2, 65
Find q, given that -3*q**2/7 + 36*q/7 - 60/7 = 0.
2, 10
Suppose -m**4/6 - 3*m**3 - 27*m**2/2 - 56*m/3 - 8 = 0. Calculate m.
-12, -4, -1
Suppose -2*u**2 + 504*u - 31752 = 0. What is u?
126
Factor l**5 - 6*l**4 + 8*l**3.
l**3*(l - 4)*(l - 2)
Factor -o**2/6 - 2156*o/3 - 2324168/3.
-(o + 2156)**2/6
Find j such that j**3/4 - j**2/2 - 39*j/4 - 18 = 0.
-3, 8
Factor 4*j**3/3 - 132*j**2 + 3456*j - 9216.
4*(j - 48)**2*(j - 3)/3
Factor -2*o**4/9 + 62*o**3/9 - 106*o**2/3 + 50*o.
-2*o*(o - 25)*(o - 3)**2/9
Factor 4*r**5 - 8*r**4 - 48*r**3 - 56*r**2 - 20*r.
4*r*(r - 5)*(r + 1)**3
Suppose -80*m**5 + 172*m**4 + 1584*m**3 + 1664*m**2 - 448*m - 192 = 0. What is m?
-2, -1/4, 2/5, 6
Factor -1190*v**4 + 3574*v**3 - 3582*v**2 + 1202*v - 4.
-2*(v - 1)**3*(595*v - 2)
Factor 2*l**3/7 + 26*l**2/7 - 212*l/7 + 304/7.
2*(l - 4)*(l - 2)*(l + 19)/7
What is g in 25*g**2 - 555*g + 630 = 0?
6/5, 21
Factor 2*n**4/7 + 22*n**3/7 - 24*n**2/7.
2*n**2*(n - 1)*(n + 12)/7
Factor 2*k**4 - 78*k**3 - 80*k**2.
2*k**2*(k - 40)*(k + 1)
Factor 5*p**2 - 55*p + 90.
5*(p - 9)*(p - 2)
Factor c**2/9 + 8*c/9.
c*(c + 8)/9
Factor -26*v**2/5 + 28*v - 10.
-2*(v - 5)*(13*v - 5)/5
Factor c**2/4 - 10*c + 100.
(c - 20)**2/4
Find g such that g**2 + 536*g + 71824 = 0.
-268
Determine m, given that m**3 + 260*m**2 + 1028*m + 1024 = 0.
-256, -2
Factor -4*i**4 + 8*i**3 + 12*i**2 - 32*i + 16.
-4*(i - 2)*(i - 1)**2*(i + 2)
What is i in -3*i**4 + 6*i**3 + 936*i**2 + 5130*i + 7371 = 0?
-13, -3, 21
Solve v**3/8 + 19*v**2/2 - 77*v/8 = 0 for v.
-77, 0, 1
Determine c so that c**2/5 + 21*c/5 - 196/5 = 0.
-28, 7
Factor x**3/5 - 67*x**2/5 + 66*x/5.
x*(x - 66)*(x - 1)/5
Suppose -2*v**2/3 - 144*v - 7776 = 0. What is v?
-108
Determine w so that 5*w**2 - 105*w - 230 = 0.
-2, 23
Factor -3*h**2/4 - 615*h/4 + 621/2.
-3*(h - 2)*(h + 207)/4
Let h**2/7 - 144*h + 36288 = 0. Calculate h.
504
Factor q**3 + 14*q**2 + 44*q + 40.
(q + 2)**2*(q + 10)
Let -2*b**3 + 32*b**2 - 58*b + 28 = 0. What is b?
1, 14
Find l such that l**4/2 - 7*l**3/2 - 11*l**2 + 44*l + 96 = 0.
-3, -2, 4, 8
Factor -4*d**3/3 - 16*d**2/3.
-4*d**2*(d + 4)/3
Factor -5*r**3/6 + 185*r**2/6 - 355*r/6 + 175/6.
-5*(r - 35)*(r - 1)**2/6
Determine d, given that 5*d**3 + 40*d**2 - 75*d - 270 = 0.
-9, -2, 3
What is b in -b**5/4 + 7*b**4/4 + 235*b**3/2 - 3641*b**2/2 + 25531*b/4 + 33275/4 = 0?
-25, -1, 11
Factor -3*c**2/4 - 3*c - 3.
-3*(c + 2)**2/4
Factor -4*z**4/7 - 16*z**3/7.
-4*z**3*(z + 4)/7
Find b, given that 3*b**4/2 - 77*b**3/2 + 313*b**2 - 894*b + 468 = 0.
2/3, 6, 13
Let -3*z**3 - 105*z**2 + 1383*z + 1485 = 0. Calculate z.
-45, -1, 11
Let 5*h**4 - 95*h**3 + 250*h**2 - 160*h = 0. Calculate h.
0, 1, 2, 16
Factor -y**4 + 10*y**3 - 33*y**2 + 44*y - 20.
-(y - 5)*(y - 2)**2*(y - 1)
Determine g, given that -5*g**5 - 15*g**4 - 15*g**3 - 5*g**2 = 0.
-1, 0
Factor 5*r**2 + 1425*r