2/4 - 245*q/4 + 195 = 0. Calculate q.
-52, 3
Find x, given that -3*x**5/7 + 3*x**4 - 45*x**3/7 + 15*x**2/7 + 48*x/7 - 36/7 = 0.
-1, 1, 2, 3
Factor -p**3 + 2212*p**2 - 1223236*p.
-p*(p - 1106)**2
Find o such that -2*o**5/7 + 16*o**4/7 + 64*o**3/7 + 4*o**2 - 62*o/7 - 44/7 = 0.
-2, -1, 1, 11
Factor 4*c**4 - 20*c**3 - 168*c**2 + 720*c + 864.
4*(c - 6)**2*(c + 1)*(c + 6)
Factor q**2 - 104*q/3 - 35/3.
(q - 35)*(3*q + 1)/3
Determine f, given that -3*f**2 - 219*f - 216 = 0.
-72, -1
Factor s**4/4 - 31*s**3/4 + 111*s**2/2 - 136*s + 88.
(s - 22)*(s - 4)**2*(s - 1)/4
Factor 3*j**5 + 3*j**4 - 135*j**3 + 249*j**2 - 120*j.
3*j*(j - 5)*(j - 1)**2*(j + 8)
Factor 154*t**2 + 284*t - 48.
2*(t + 2)*(77*t - 12)
Factor -2*n**2/9 - 122*n/3 + 1880/9.
-2*(n - 5)*(n + 188)/9
Suppose 4*s**5 - 52*s**4 - 64*s**3 + 112*s**2 = 0. What is s?
-2, 0, 1, 14
Let -2*b**5 + 26*b**4 - 96*b**3 + 136*b**2 - 64*b = 0. Calculate b.
0, 1, 2, 8
Solve -2*r**3/3 - 16*r**2/3 - 22*r/3 + 40/3 = 0 for r.
-5, -4, 1
Factor o**5/2 - 3*o**4/2 + o**3/2 + 3*o**2/2 - o.
o*(o - 2)*(o - 1)**2*(o + 1)/2
Factor b**2/3 - 4*b - 28/3.
(b - 14)*(b + 2)/3
Factor -b**3/2 + 11*b**2 + 129*b/2 + 81.
-(b - 27)*(b + 2)*(b + 3)/2
Factor 3*l**3/2 + 246*l**2 + 10086*l.
3*l*(l + 82)**2/2
Determine h so that -24*h**5 + 4*h**4 + 72*h**3 + 36*h**2 - 8*h = 0.
-1, 0, 1/6, 2
Determine h, given that 2*h**5 - 2*h**4 - 2*h**3 + 2*h**2 = 0.
-1, 0, 1
Factor -4*n**3 + 52*n**2 - 160*n + 144.
-4*(n - 9)*(n - 2)**2
Solve -5*f**3/4 + 10*f**2 - 25*f/4 - 35/2 = 0.
-1, 2, 7
Suppose -2*h**2/15 + 4*h/3 - 32/15 = 0. Calculate h.
2, 8
Factor -16*a**4 + 40*a**3 - 33*a**2 + 10*a - 1.
-(a - 1)**2*(4*a - 1)**2
Factor -i**3/2 + 23*i**2/2 + 41*i - 52.
-(i - 26)*(i - 1)*(i + 4)/2
Factor 5*y**5 - 15*y**4 - 115*y**3 - 165*y**2 - 70*y.
5*y*(y - 7)*(y + 1)**2*(y + 2)
Let -5*v**3 - 1960*v**2 + 1965*v = 0. What is v?
-393, 0, 1
Find b, given that 3*b**2 + b - 2 = 0.
-1, 2/3
Find j, given that -2*j**4 - 80*j**3 + 82*j**2 = 0.
-41, 0, 1
Factor 2*d**3 + 23*d**2 - 39*d.
d*(d + 13)*(2*d - 3)
Factor 7*y**4 + 3208*y**3 + 7307*y**2 + 5018*y + 912.
(y + 1)**2*(y + 456)*(7*y + 2)
Let 21*a**5 + 177*a**4/5 - 126*a**3/5 - 132*a**2/5 - 24*a/5 = 0. What is a?
-2, -2/5, -2/7, 0, 1
Factor 3*d**3 + 1884*d**2 + 1875*d - 3762.
3*(d - 1)*(d + 2)*(d + 627)
Determine f, given that -f**4/3 - 67*f**3/3 - 1216*f**2/3 - 1024*f = 0.
-32, -3, 0
Find i, given that 2*i**2/15 + 26*i/5 + 76/15 = 0.
-38, -1
Factor -2*q**2/5 - 932*q/5 - 108578/5.
-2*(q + 233)**2/5
Factor -4*h**4 - 7*h**3 + 62*h**2 - 15*h.
-h*(h - 3)*(h + 5)*(4*h - 1)
Find i, given that 3*i**4/2 - 6*i**3 - 3*i**2 + 18*i + 27/2 = 0.
-1, 3
Solve -8*y**3/5 - 36*y**2/5 + 4*y = 0 for y.
-5, 0, 1/2
Suppose 3*b**5 - 240*b**4 - 993*b**3 - 1254*b**2 - 504*b = 0. Calculate b.
-2, -1, 0, 84
Factor -c**2 - 8*c + 9.
-(c - 1)*(c + 9)
Factor -7*k**2 + 52*k - 21.
-(k - 7)*(7*k - 3)
Let -4*g**3 + 96*g**2 - 252*g = 0. What is g?
0, 3, 21
Factor -6*i**2 - 32*i - 10.
-2*(i + 5)*(3*i + 1)
Solve -5*a**2 - 10215*a - 10210 = 0 for a.
-2042, -1
Let -3*g**2 - 30*g + 168 = 0. Calculate g.
-14, 4
Find a, given that 5*a**3 - 30*a**2 - 35*a = 0.
-1, 0, 7
Factor -2*b**5/7 + 80*b**4/7 + 1872*b**3/7 + 1728*b**2 + 25056*b/7.
-2*b*(b - 58)*(b + 6)**3/7
Factor 5*v**4/4 - 5*v**3/2 - 15*v**2/4 + 10*v - 5.
5*(v - 2)*(v - 1)**2*(v + 2)/4
Let 3*b**2 + 114*b = 0. Calculate b.
-38, 0
Factor 5*d**3 - 95*d**2 + 250*d - 160.
5*(d - 16)*(d - 2)*(d - 1)
Factor 5*a**2 - 925*a.
5*a*(a - 185)
Suppose 2*m**2/5 - 11662*m/5 + 2332 = 0. What is m?
1, 5830
Factor 2*a**5/5 + 48*a**4/5 + 236*a**3/5 - 624*a**2/5 + 338*a/5.
2*a*(a - 1)**2*(a + 13)**2/5
Solve -12*r**3 + 68*r**2 - 84*r - 36 = 0 for r.
-1/3, 3
Factor -3*i**3 + 159*i**2 + 327*i + 165.
-3*(i - 55)*(i + 1)**2
Factor 5*w**3 + 70*w**2 + 320*w + 480.
5*(w + 4)**2*(w + 6)
Find u such that -u**4 - 8*u**3 + 11*u**2 + 18*u = 0.
-9, -1, 0, 2
Suppose -50*d**5 + 190*d**4 + 52*d**3 - 768*d**2 + 576*d = 0. Calculate d.
-2, 0, 1, 12/5
Factor -m**2/4 - 27*m - 729.
-(m + 54)**2/4
Factor z**2/2 - 85*z/2 - 43.
(z - 86)*(z + 1)/2
Let 2*i**4 - 72*i**3 + 908*i**2 - 4680*i + 8450 = 0. What is i?
5, 13
Factor 4*r**2/7 + 92*r/7.
4*r*(r + 23)/7
Find w, given that -2*w**2/5 - 4146*w/5 = 0.
-2073, 0
Determine o so that -o**4 + 22*o**3 + 47*o**2 + 24*o = 0.
-1, 0, 24
Let i**3/9 - i**2/3 - 40*i/9 = 0. Calculate i.
-5, 0, 8
Let -2*b**3/9 + 2884*b**2/3 - 4158728*b/3 + 5996885776/9 = 0. What is b?
1442
Factor -r**3 - 94*r**2 - 1039*r + 1134.
-(r - 1)*(r + 14)*(r + 81)
Solve 2*x**5 + 76*x**4/5 + 158*x**3/5 + 44*x**2/5 - 48*x/5 = 0 for x.
-4, -3, -1, 0, 2/5
Suppose -2*g**4 - 8*g**3 + 26*g**2 + 56*g - 120 = 0. Calculate g.
-5, -3, 2
Factor -z**3 + 12*z**2/7 - 3*z/7 - 2/7.
-(z - 1)**2*(7*z + 2)/7
Factor 5*z**2 + 1540*z.
5*z*(z + 308)
Factor -r**4 + 549*r**3 + 1653*r**2 + 1655*r + 552.
-(r - 552)*(r + 1)**3
Factor 15*d**3 + 650*d**2 - 1115*d + 450.
5*(d - 1)*(d + 45)*(3*d - 2)
Let -s**3/4 + 465*s**2/2 - 72075*s + 7447750 = 0. Calculate s.
310
What is j in -j**2/5 - 64*j/5 + 132/5 = 0?
-66, 2
Determine n so that -9*n**5/4 + 24*n**4 - 6*n**3 - 96*n**2 + 60*n = 0.
-2, 0, 2/3, 2, 10
Find y such that 5*y**3 - 35*y**2 + 20*y + 60 = 0.
-1, 2, 6
What is z in z**3/4 + z**2/2 - 53*z/4 + 45/2 = 0?
-9, 2, 5
Determine u so that -2*u**3/9 + 14*u/9 - 4/3 = 0.
-3, 1, 2
Factor 2*z**4 - 8*z**3 - 84*z**2 - 72*z + 162.
2*(z - 9)*(z - 1)*(z + 3)**2
Factor -t**3/9 + 517*t**2/9.
-t**2*(t - 517)/9
Suppose 152*c**3/15 - 1822*c**2/15 + 1816*c/5 + 24/5 = 0. What is c?
-1/76, 6
Factor 2*k**2/11 + 224*k/11 + 6272/11.
2*(k + 56)**2/11
Let 3*d**3 - 2253*d**2 + 424125*d - 421875 = 0. Calculate d.
1, 375
Factor -k**4/3 + 29*k**3/3 - 65*k**2 - 75*k.
-k*(k - 15)**2*(k + 1)/3
What is o in 1156*o**4/7 + 3196*o**3/7 - 5424*o**2/7 + 1136*o/7 - 64/7 = 0?
-4, 2/17, 1
Factor q**5/3 - 4*q**4 + 20*q**3/3.
q**3*(q - 10)*(q - 2)/3
Factor 8*a**2/5 - 7546*a/5 + 1886/5.
2*(a - 943)*(4*a - 1)/5
Solve -27*p**3 + 1395*p**2 - 18249*p + 5929 = 0.
1/3, 77/3
Suppose g**4/9 - g**3/9 - g**2 - 11*g/9 - 4/9 = 0. What is g?
-1, 4
Factor -5*x**3 + 1940*x**2 - 188180*x.
-5*x*(x - 194)**2
Factor -3*p**3 - 31*p**2 + 148*p - 84.
-(p - 3)*(p + 14)*(3*p - 2)
Factor -l**3/3 + 11*l**2/6 + 7*l/2 - 15.
-(l - 6)*(l + 3)*(2*l - 5)/6
Factor -4*q**5 - 24*q**4 + 60*q**3 - 32*q**2.
-4*q**2*(q - 1)**2*(q + 8)
Suppose -k**4 + 21*k**3 - 84*k**2 + 64*k = 0. What is k?
0, 1, 4, 16
Factor 3*v**4 + 1338*v**3 + 197100*v**2 + 9315000*v - 40500000.
3*(v - 4)*(v + 150)**3
Find i such that -3*i**4 + 24*i**3 - 57*i**2 + 36*i = 0.
0, 1, 3, 4
What is x in 3*x**2/8 + 495*x/8 + 2325/4 = 0?
-155, -10
Suppose u**3/2 - 5*u**2/2 - 11*u - 8 = 0. What is u?
-2, -1, 8
Let k**3/4 + 10*k**2 - 23*k - 84 = 0. Calculate k.
-42, -2, 4
Suppose q**2 + 10*q = 0. Calculate q.
-10, 0
Let y**2/4 - 21*y = 0. What is y?
0, 84
Solve 3*n**5 + 21*n**4 + 21*n**3 - 57*n**2 - 48*n + 60 = 0 for n.
-5, -2, 1
Suppose -20*n**4 + 848*n**3 + 5244*n**2 + 6408*n - 3456 = 0. What is n?
-3, 2/5, 48
What is x in -4*x**3/9 - 116*x**2/9 + 1696*x/3 = 0?
-53, 0, 24
Factor 4*m**4/3 - 24*m**3 + 188*m**2/3 - 40*m.
4*m*(m - 15)*(m - 2)*(m - 1)/3
Solve -2*x**5/11 - 56*x**4/11 - 106*x**3/11 - 52*x**2/11 = 0 for x.
-26, -1, 0
Let -3*a**3/5 - 2139*a**2/5 - 76041*a + 382347/5 = 0. Calculate a.
-357, 1
Let -f**5/4 - 19*f**4/2 + 30*f**3 - 61*f**2/2 + 41*f/4 = 0. What is f?
-41, 0, 1
Let -z**5 + 7*z**4 - 19*z**3 + 25*z**2 - 16*z + 4 = 0. What is z?
1, 2
Solve -u**2/4 - 445*u/4 = 0.
-445, 0
Determine m so that m**2/3 - 101*m/3 - 1610/3 = 0.
-14, 115
Factor -x**2/5 + 102*x/5 - 2601/5.
-(x - 51)**2/5
Determine f so that -5*f**2 + 27930*f - 39004245 = 0.
2793
Factor -724*g**3 - 5804*g**2 - 11680*g - 192.
-4*(g + 4)**2*(181*g + 3)
Factor -2*j**5/5 - 22*j**4/5 + 84*j**3/5.
-2*j**3*(j - 3)*(j + 14)/5
Factor 45*c**3 + 21750*c**2 - 58240*c + 38880.
5*(c + 486)*(3*c - 4)**2
Factor 9*c**3/2 - 15*c**2 + 27*c/2 - 3.
3*(c - 2)*(c - 1)*(3*c - 1)/2
Determine y, given that 4*y**2 - 1356*y = 0.
0, 339
Let 2*g**3/5 + 14*g**2/5 - 34*g/5 + 18/5 = 0. Calculate g.
-9, 1
Suppose 4*d**2/7 - 24*d/7 + 20/7 = 0. Calculate d.
1, 5
Find z such that 2*z**3/5 - 94*z**2 + 27846*z/5 - 27378/5 = 0.
1, 117
Factor -4*c**2/5 - 32*c/5 - 28/5.
-4*(c + 1)*(c + 7)/5
Let 4*s**2 - 248*s + 1140 = 0. Calculate s.
5, 57
Solve -z**4/2 - 15*z**3/