3, 1, 15/8
Factor -2*d**5/9 - 190*d**4/9 - 4214*d**3/9 + 4802*d**2/3.
-2*d**2*(d - 3)*(d + 49)**2/9
Let -h**2 - 758*h - 143641 = 0. What is h?
-379
Suppose -u**5 + 16*u**4 + 3*u**3 - 46*u**2 - 32*u = 0. What is u?
-1, 0, 2, 16
Suppose 7*q**2 - 83*q + 238 = 0. Calculate q.
34/7, 7
Factor -2*p**4 - 14*p**3 - 12*p**2 + 56*p + 80.
-2*(p - 2)*(p + 2)**2*(p + 5)
Suppose -2*w**5/3 - 14*w**4/3 + 100*w**3/3 + 20*w**2 - 246*w + 198 = 0. What is w?
-11, -3, 1, 3
Determine k, given that -2*k**3/7 - 26*k**2/7 + 58*k/7 - 30/7 = 0.
-15, 1
Solve 2*w**3 - 36*w**2 = 0 for w.
0, 18
Factor 2*b**2/9 - 56*b/3 + 150.
2*(b - 75)*(b - 9)/9
Factor f**3 + 1107*f**2 + 408483*f + 50243409.
(f + 369)**3
Find p such that -4*p**5 - 176*p**4 - 652*p**3 - 480*p**2 = 0.
-40, -3, -1, 0
Solve -5*x**3/2 + 85*x**2/4 - 50*x + 125/4 = 0.
1, 5/2, 5
Factor 5*s**4 - 75*s**3 + 220*s**2.
5*s**2*(s - 11)*(s - 4)
Factor 2*g**4 + 2*g**3 - 6*g**2 - 10*g - 4.
2*(g - 2)*(g + 1)**3
Factor 4*y**3/5 + 504*y**2/5 + 992*y/5.
4*y*(y + 2)*(y + 124)/5
Determine y, given that 42*y**2 + 423*y + 30 = 0.
-10, -1/14
Factor -5*b**4 - 355*b**3 - 6475*b**2 - 6125*b.
-5*b*(b + 1)*(b + 35)**2
Solve 5*s**2 + 920*s + 42320 = 0.
-92
Factor -4*x**3 + 264*x**2 + 1696*x + 2304.
-4*(x - 72)*(x + 2)*(x + 4)
Factor r**2/8 + 23*r/8 - 27/2.
(r - 4)*(r + 27)/8
Let z**5/3 - 1675*z**4/3 + 234081*z**3 - 233523*z**2 = 0. What is z?
0, 1, 837
Determine f, given that -2*f**2 + 182*f = 0.
0, 91
Suppose -2*v**5 + 44*v**4 - 240*v**3 - 352*v**2 + 3040*v + 4800 = 0. What is v?
-2, 6, 10
Factor -5*t**5 + 60*t**4 + 225*t**3.
-5*t**3*(t - 15)*(t + 3)
Solve 8*w**3 - 660*w**2 + 324*w + 328 = 0.
-1/2, 1, 82
Factor a**4/3 + 28*a**3/3 + 196*a**2/3.
a**2*(a + 14)**2/3
Factor i**4/3 - 14*i**3 + 147*i**2.
i**2*(i - 21)**2/3
Factor -p**2/2 + 9*p.
-p*(p - 18)/2
Suppose -2*i**2/7 + 5032*i/7 - 3165128/7 = 0. Calculate i.
1258
Solve x**2/3 + 3860*x/3 - 7724/3 = 0.
-3862, 2
Determine x so that 3*x**3/5 + 9*x**2 + 189*x/5 + 147/5 = 0.
-7, -1
Factor 3*l**3 + 21*l**2 - 3*l - 21.
3*(l - 1)*(l + 1)*(l + 7)
Let -c**3/2 + 59*c**2 - 233*c/2 + 58 = 0. What is c?
1, 116
Suppose -v**5/5 + v**4 - v**3 - v**2 + 6*v/5 = 0. Calculate v.
-1, 0, 1, 2, 3
Determine x, given that 3*x**3 + 243*x**2 + 5661*x + 28749 = 0.
-37, -7
Factor -4*f**4 - 84*f**3 - 152*f**2.
-4*f**2*(f + 2)*(f + 19)
Determine h, given that 6*h**4/5 - 8*h**3 + 96*h**2/5 - 96*h/5 + 32/5 = 0.
2/3, 2
Find z such that 2*z**2/5 + 16*z/5 + 32/5 = 0.
-4
Factor 2*p**4 - 226*p**3 + 6024*p**2 + 21112*p - 26912.
2*(p - 58)**2*(p - 1)*(p + 4)
Factor -f**2/5 - 2*f/5 - 1/5.
-(f + 1)**2/5
Let -f**5/6 - 2*f**4/3 + 2*f**3 - f**2/3 - 11*f/6 + 1 = 0. What is f?
-6, -1, 1
Factor -4*o**3 + 288*o**2 - 4884*o - 10952.
-4*(o - 37)**2*(o + 2)
Determine g so that -20*g**2 + 545*g = 0.
0, 109/4
Let -u**2/2 + 61*u/2 + 276 = 0. Calculate u.
-8, 69
Solve -l**2 - 43*l + 138 = 0.
-46, 3
Factor -5*z**2 - 670*z + 675.
-5*(z - 1)*(z + 135)
What is t in 9*t**3 + 3*t**2 - 210*t = 0?
-5, 0, 14/3
What is f in 4*f**4 - 260*f**3 - 1684*f**2 - 1420*f = 0?
-5, -1, 0, 71
Factor y**2 - 109*y + 318.
(y - 106)*(y - 3)
Factor 3*s**4/7 - 12*s**3/7 + 15*s**2/7 - 6*s/7.
3*s*(s - 2)*(s - 1)**2/7
Suppose 4*u**3/5 - u**2/5 - u = 0. Calculate u.
-1, 0, 5/4
Factor -2*g**3 + 18*g.
-2*g*(g - 3)*(g + 3)
What is b in -102*b**2 + 63*b + 39 = 0?
-13/34, 1
Let 2*u**5/7 - 46*u**4/7 + 400*u**3/7 - 1616*u**2/7 + 2976*u/7 - 288 = 0. What is u?
2, 6, 7
Let -2*t**3 - 106*t**2 - 304*t - 200 = 0. Calculate t.
-50, -2, -1
Solve -3*d**4/8 - 24*d**3 - 2277*d**2/4 - 5928*d - 183027/8 = 0 for d.
-19, -13
Factor n**2/4 - 143*n/4.
n*(n - 143)/4
Factor -j**4 - 41*j**3 - 498*j**2 - 1404*j + 1944.
-(j - 1)*(j + 6)*(j + 18)**2
Factor 2*t**2 + 206*t + 1692.
2*(t + 9)*(t + 94)
Factor 18*f**2/5 - 742*f/5 + 164/5.
2*(f - 41)*(9*f - 2)/5
Factor n**3/5 - 5223*n**2/5 + 9093243*n/5 - 5277112021/5.
(n - 1741)**3/5
Find l such that l**5 - 2*l**4 - 2*l**3 + 4*l**2 + l - 2 = 0.
-1, 1, 2
Find l, given that -3*l**5/4 + 3*l**3 = 0.
-2, 0, 2
Factor -36*x**3 - 244*x**2 + 56*x.
-4*x*(x + 7)*(9*x - 2)
Let -7*l**5/9 - 20*l**4/3 - 50*l**3/9 + 20*l**2 - 7*l = 0. What is l?
-7, -3, 0, 3/7, 1
What is d in 5*d**3/4 - 29*d**2/4 + 17*d/2 + 2 = 0?
-1/5, 2, 4
Factor 555*o**2 + 1662*o - 9.
3*(o + 3)*(185*o - 1)
Factor -5*r**2/6 - 485*r - 141135/2.
-5*(r + 291)**2/6
Factor -4*n**4 - 8*n**3 + 64*n**2 + 128*n.
-4*n*(n - 4)*(n + 2)*(n + 4)
Determine p, given that -1785*p**3 + 1460*p**2 + 315*p + 10 = 0.
-1/7, -2/51, 1
Suppose -h**4/2 + 3*h**3 - 3*h**2/2 - 13*h + 12 = 0. Calculate h.
-2, 1, 3, 4
Factor t**3/6 + 61*t**2/6 + 160*t + 150.
(t + 1)*(t + 30)**2/6
What is q in 4*q**3/3 + 280*q**2/3 + 4000*q/3 = 0?
-50, -20, 0
Factor -8*t**2/3 + 116*t/3 + 20.
-4*(t - 15)*(2*t + 1)/3
Factor -5*o**3 + 35*o**2 + 200*o + 220.
-5*(o - 11)*(o + 2)**2
Factor 576*a**4 - 96*a**3 + 4*a**2.
4*a**2*(12*a - 1)**2
Factor v**2/6 - 47*v/3.
v*(v - 94)/6
Let -2*d**3 + 284*d**2 - 562*d + 280 = 0. What is d?
1, 140
Let s**4/3 - s**3/3 - 3*s**2 - 11*s/3 - 4/3 = 0. What is s?
-1, 4
Factor -5*k**2 - 5725*k + 11470.
-5*(k - 2)*(k + 1147)
Factor 2*s**2/15 - 8*s/15 + 2/5.
2*(s - 3)*(s - 1)/15
Factor 2*k**5 + 16*k**4 + 24*k**3 - 4*k**2 - 26*k - 12.
2*(k - 1)*(k + 1)**3*(k + 6)
Factor -8*x**3/5 + 64*x**2/5 - 154*x/5 + 98/5.
-2*(x - 1)*(2*x - 7)**2/5
Determine g so that 3*g**3/4 + 141*g**2/4 + 1077*g/4 - 1221/4 = 0.
-37, -11, 1
Factor -2*p**4/7 + 16*p**3 - 218*p**2/7 + 108*p/7.
-2*p*(p - 54)*(p - 1)**2/7
Find n, given that 4*n**5 + 24*n**4 - 28*n**3 = 0.
-7, 0, 1
Suppose k**3/9 + 44*k**2 + 5808*k + 255552 = 0. What is k?
-132
Determine s so that -2*s**3 + 40*s**2 + 2*s - 40 = 0.
-1, 1, 20
Factor -9*z**4 + 24*z**3 + 45*z**2 + 12*z.
-3*z*(z - 4)*(z + 1)*(3*z + 1)
Suppose -3*l**5/2 - 12*l**4 - 3*l**3 + 48*l**2 - 63*l/2 = 0. What is l?
-7, -3, 0, 1
Suppose 4*v**5 + 4*v**4 - 12*v**3 - 20*v**2 - 8*v = 0. What is v?
-1, 0, 2
Solve l**5/4 - l**3 + l**2/2 + 3*l/4 - 1/2 = 0 for l.
-2, -1, 1
Factor j**2/6 - 554*j/3 - 2224/3.
(j - 1112)*(j + 4)/6
Factor 2*s**3 - 2*s**2 - 10*s - 6.
2*(s - 3)*(s + 1)**2
Factor 6*g**3/5 + 12488*g**2/5 + 6493758*g/5 - 4334724/5.
2*(g + 1041)**2*(3*g - 2)/5
Determine t, given that 2*t**4/9 - 340*t**3/9 + 442*t**2/3 + 340*t/9 - 1328/9 = 0.
-1, 1, 4, 166
Factor -2*o**5 + 46*o**4 - 276*o**3 - 324*o**2 + 4374*o + 4374.
-2*(o - 9)**3*(o + 1)*(o + 3)
Factor -2185*c**2 - 4375*c - 10.
-5*(c + 2)*(437*c + 1)
Factor 3*g**4 - 51*g**3 - 111*g**2 - 57*g.
3*g*(g - 19)*(g + 1)**2
Factor 2*y**2/7 + 608*y/7.
2*y*(y + 304)/7
Find j such that 3*j**2 + 291*j - 594 = 0.
-99, 2
Factor -3*s**4 - 36*s**3 + 495*s**2 - 1464*s + 1008.
-3*(s - 4)**2*(s - 1)*(s + 21)
Factor -2*f**2 + 432*f - 23328.
-2*(f - 108)**2
Suppose 5*h**5 + 225*h**4 + 850*h**3 + 1250*h**2 + 825*h + 205 = 0. Calculate h.
-41, -1
Factor 2*t**3/9 + 16*t**2/9 + 40*t/9 + 32/9.
2*(t + 2)**2*(t + 4)/9
Factor -3*w**3/8 - 159*w**2/8 + 81*w/4.
-3*w*(w - 1)*(w + 54)/8
Factor 4*k**3/17 - 26*k**2/17 - 14*k/17.
2*k*(k - 7)*(2*k + 1)/17
Factor -2*w**3 + 12*w**2 + 14*w.
-2*w*(w - 7)*(w + 1)
Factor -5*v**3/4 - 1695*v**2/4 - 35700*v + 36125.
-5*(v - 1)*(v + 170)**2/4
Find i, given that 2*i**3/3 + 24*i**2 = 0.
-36, 0
Factor 2*s**4/9 + 20*s**3/9 + 46*s**2/9 + 28*s/9.
2*s*(s + 1)*(s + 2)*(s + 7)/9
Factor -q**2 - 6*q + 112.
-(q - 8)*(q + 14)
Find d such that -d**5/3 - d**4 + 29*d**3/3 + d**2 - 28*d/3 = 0.
-7, -1, 0, 1, 4
Solve 4*y**3/13 - 90*y**2/13 + 492*y/13 - 224/13 = 0 for y.
1/2, 8, 14
Factor -y**2/9 - y/3 + 4/9.
-(y - 1)*(y + 4)/9
Solve -3*z**5 - 15*z**4 - 3*z**3 + 39*z**2 + 6*z - 24 = 0.
-4, -2, -1, 1
What is m in -2*m**2 + 72*m - 648 = 0?
18
Factor -4*s**2 - 288*s - 5184.
-4*(s + 36)**2
Suppose -h**2 + 22*h - 57 = 0. What is h?
3, 19
Factor -8*s**3/11 - 14*s**2/11 + 4*s/11.
-2*s*(s + 2)*(4*s - 1)/11
Factor -u**3/3 + 39*u**2 - 1160*u + 3364/3.
-(u - 58)**2*(u - 1)/3
Find o such that 3*o**2 - 9*o - 30 = 0.
-2, 5
Determine j so that 3*j**3 + 18*j**2 - 21*j = 0.
-7, 0, 1
Factor 4*l**4/9 + 14096*l**3/9 + 6209288*l**2/3 + 10940765456*l/9 + 2409703591684/9.
4*(l + 881)**4/9
Find j, given that 12*j**3 + 825*j**2 + 609*j - 204 = 0.
-68, -1, 1/4
Determine k, given that 6*k**4 + 4*k**3 - 6*k**2 - 4*k = 0.
-1, -2/3, 0, 1
Factor -4*n**3/5 + 1404*n**2/5 - 119616*n/5 - 126736.
-4*(n - 178)**2*(n + 5)/5
Find k suc