*d**3/13 + 176*d**2/13 - 72*d/13 = 0 for d.
-18, 0, 1/2, 2
Find g such that -4*g**5 - 340*g**4 - 3132*g**3 - 10060*g**2 - 12064*g - 4800 = 0.
-75, -4, -1
Determine c so that c**4 + 11*c**3 - 13*c**2 - 11*c + 12 = 0.
-12, -1, 1
Factor 2*f**3/3 - 9*f**2/2 - 13*f/2 - 4/3.
(f - 8)*(f + 1)*(4*f + 1)/6
Factor 2*g**4 + 20*g**3 + 50*g**2.
2*g**2*(g + 5)**2
Factor -r**2/10 - 73*r/5 - 84.
-(r + 6)*(r + 140)/10
Factor 3*b**4/5 + 42*b**3/5 + 39*b**2/5 - 756*b/5 + 972/5.
3*(b - 2)**2*(b + 9)**2/5
Let 2*l**4 - 2006*l**3/5 - 8964*l**2/5 - 11464*l/5 - 656 = 0. Calculate l.
-2, -2/5, 205
Determine h so that -h**4/7 + 6*h**3 - 345*h**2/7 - 2116*h/7 = 0.
-4, 0, 23
Find a such that 10*a**4 + 94*a**3 + 280*a**2 + 264*a = 0.
-22/5, -3, -2, 0
Find s, given that 33*s**5 - 1020*s**4 - 1149*s**3 - 96*s**2 = 0.
-1, -1/11, 0, 32
Let -r**5/4 - 59*r**4/2 - 1491*r**3/2 + 7281*r**2 - 81081*r/4 + 35721/2 = 0. Calculate r.
-63, 2, 3
Solve 10*n**4 - 54*n**3 + 100*n**2 - 72*n + 16 = 0.
2/5, 1, 2
Solve 2*h**2/9 + 88*h/3 + 968 = 0 for h.
-66
Factor 5*z**3 - 450*z**2 + 10125*z.
5*z*(z - 45)**2
Determine v so that 6*v**5 + 806*v**4 + 4930*v**3 + 8490*v**2 + 5384*v + 1024 = 0.
-128, -4, -1, -1/3
Solve -3*n**3 + 6*n**2 + 60*n + 72 = 0.
-2, 6
Factor -3*k**3 - 36*k**2 - 132*k - 144.
-3*(k + 2)*(k + 4)*(k + 6)
Factor -j**5/6 + 127*j**4/6 - 4331*j**3/6 + 18605*j**2/6.
-j**2*(j - 61)**2*(j - 5)/6
Find m, given that -3*m**5 + 45*m**4/2 + 393*m**3/2 + 495*m**2/2 - 351*m/2 = 0.
-3, 0, 1/2, 13
Find n such that 2*n**4/7 + 18*n**3/7 - 72*n**2/7 + 8*n/7 + 96/7 = 0.
-12, -1, 2
Factor 5*x**3 - 45*x**2 + 70*x.
5*x*(x - 7)*(x - 2)
Factor -3*a**5 + 204*a**4 - 4035*a**3 + 19554*a**2 - 36084*a + 23064.
-3*(a - 31)**2*(a - 2)**3
Factor 4*s**2/7 + 44*s/7 - 2904/7.
4*(s - 22)*(s + 33)/7
Solve -z**3 + 84*z**2 - 81*z - 166 = 0 for z.
-1, 2, 83
Solve 2*x**2 + 46*x + 204 = 0 for x.
-17, -6
Factor 4*d**2 + 508*d - 6672.
4*(d - 12)*(d + 139)
Let -4*v**2 + 68*v = 0. What is v?
0, 17
Determine k, given that k**4/2 + 3*k**3 + 13*k**2/2 + 6*k + 2 = 0.
-2, -1
Factor -4*n**3/9 + 8*n**2/9 + 4*n - 8.
-4*(n - 3)*(n - 2)*(n + 3)/9
Solve -3*i**3 - 93*i**2 + 102*i + 192 = 0.
-32, -1, 2
Find l, given that l**3/2 - 13*l**2/6 - l/2 + 15/2 = 0.
-5/3, 3
Determine q, given that 3*q**5/2 - 2*q**4 - q**3 + 2*q**2 - q/2 = 0.
-1, 0, 1/3, 1
Determine n, given that n**3/2 + 585*n**2/2 + 1452*n + 1160 = 0.
-580, -4, -1
Factor -9*n**3 - 75*n**2 - 132*n - 36.
-3*(n + 2)*(n + 6)*(3*n + 1)
Factor p**2 + 4*p - 32.
(p - 4)*(p + 8)
Let 512*f**3/3 + 1344*f**2 - 170*f + 16/3 = 0. Calculate f.
-8, 1/16
Solve o**2/11 - 2740*o/11 + 1876900/11 = 0.
1370
Factor 40*h**2 + 484*h + 48.
4*(h + 12)*(10*h + 1)
Factor u**5 + 173*u**4 + 171*u**3 - 173*u**2 - 172*u.
u*(u - 1)*(u + 1)**2*(u + 172)
Determine m so that m**4 - 117*m**3/5 + 326*m**2/5 + 288*m/5 - 32 = 0.
-1, 2/5, 4, 20
Find o such that 5*o**2 + 20*o - 480 = 0.
-12, 8
Let 2*m**2 + 130*m - 132 = 0. What is m?
-66, 1
Solve 3*p**4 + 45*p**3 + 237*p**2 + 495*p + 300 = 0 for p.
-5, -4, -1
Let 2*o**2/15 + 164*o/15 - 166/15 = 0. What is o?
-83, 1
Determine p, given that -3*p**2 - 219*p + 450 = 0.
-75, 2
Factor 2*n**4/3 + 10*n**3/3 - 28*n**2/3.
2*n**2*(n - 2)*(n + 7)/3
Let -2*o**3/13 - 6*o**2/13 + 2*o/13 + 6/13 = 0. What is o?
-3, -1, 1
Factor 3*x**3 - 2223*x**2/5 - 1788*x/5.
3*x*(x - 149)*(5*x + 4)/5
Factor b**5/6 - 5*b**4/6 - b**3 + 19*b**2/3 - 43*b/6 + 5/2.
(b - 5)*(b - 1)**3*(b + 3)/6
Factor -2*m**2/15 + 2*m/5 + 4/3.
-2*(m - 5)*(m + 2)/15
Find t such that 4*t**4 - 48*t**3 + 148*t**2 - 168*t + 64 = 0.
1, 2, 8
Factor z**3/8 - 39*z**2/8 + 22*z - 51/2.
(z - 34)*(z - 3)*(z - 2)/8
Factor 3*j**4 - 21*j**3 - 111*j**2 + 525*j + 1764.
3*(j - 7)**2*(j + 3)*(j + 4)
Solve 2*t**2 + 318*t + 316 = 0.
-158, -1
Factor 2*b**5/3 + 272*b**4/3 + 90*b**3.
2*b**3*(b + 1)*(b + 135)/3
Factor 2*x**4/7 + 8*x**3 + 306*x**2/7 + 36*x.
2*x*(x + 1)*(x + 6)*(x + 21)/7
Factor -2809*v**2/6 - 1378*v/3 - 338/3.
-(53*v + 26)**2/6
Suppose 11*q**2 + 134*q + 24 = 0. Calculate q.
-12, -2/11
Suppose c**5/2 + 15*c**4/2 - 17*c**3/2 - 15*c**2/2 + 8*c = 0. What is c?
-16, -1, 0, 1
Factor b**2 + 13*b + 30.
(b + 3)*(b + 10)
Determine c, given that -2*c**2/5 - 822*c/5 - 812 = 0.
-406, -5
Factor r**4/4 + 11*r**3/4 + 27*r**2/4 + 25*r/4 + 2.
(r + 1)**3*(r + 8)/4
Solve -4*l**3/5 + 12*l/5 + 8/5 = 0.
-1, 2
Factor l**2/6 + 79*l/3.
l*(l + 158)/6
Factor 2*v**4/5 - 1136*v**3/5 + 241968*v**2/5 - 22906304*v/5 + 813173792/5.
2*(v - 142)**4/5
Factor -2*l**4/21 + 4*l**3/3 - 80*l**2/21.
-2*l**2*(l - 10)*(l - 4)/21
Solve u**4/2 - 3*u**3/4 - u**2 + 3*u/4 + 1/2 = 0.
-1, -1/2, 1, 2
Factor 2*m**2/7 - 30*m/7 + 88/7.
2*(m - 11)*(m - 4)/7
Factor l**2/2 - 92*l + 1575/2.
(l - 175)*(l - 9)/2
Find h, given that 21*h**4/2 - 75*h**3/2 - 153*h**2 + 564*h - 384 = 0.
-4, 1, 2, 32/7
Factor 5*k**3 - 20*k**2 - 575*k - 1750.
5*(k - 14)*(k + 5)**2
Factor -2*u**3/7 - 60*u**2/7 + 62*u/7.
-2*u*(u - 1)*(u + 31)/7
Solve 5*a**4 - 30*a**3 - 45*a**2 + 70*a = 0.
-2, 0, 1, 7
Factor 6*x**2 + 87*x/2 + 63.
3*(x + 2)*(4*x + 21)/2
Suppose -v**2/2 + 113*v/2 - 816 = 0. Calculate v.
17, 96
Find o, given that -4*o**4 + 68*o**3 - 252*o**2 - 324*o = 0.
-1, 0, 9
Determine v, given that -v**2/3 + 260*v - 50700 = 0.
390
Factor -4*l**2 - 1248*l - 97344.
-4*(l + 156)**2
Find n such that -6*n**3 - 3*n**2 + 3*n = 0.
-1, 0, 1/2
Solve -14*t**4 - 20*t**3 + 48*t**2 + 20*t - 34 = 0.
-17/7, -1, 1
Factor 2*c**2/3 + 308*c/3 + 11858/3.
2*(c + 77)**2/3
Factor -3*m**2 + 12*m.
-3*m*(m - 4)
Suppose 10*m**2 - 52*m - 48 = 0. What is m?
-4/5, 6
Factor 12*s**3 + 14*s**2 + 2*s.
2*s*(s + 1)*(6*s + 1)
Solve 6*f**4/7 + 16*f**3/7 + 2*f**2/7 - 16*f/7 - 8/7 = 0.
-2, -1, -2/3, 1
Determine r so that 24*r**4 - 50*r**3 - 116*r**2 + 154*r - 12 = 0.
-2, 1/12, 1, 3
Find u such that -3*u**5/4 - 21*u**4 - 39*u**3 + 3*u**2/2 + 159*u/4 + 39/2 = 0.
-26, -1, 1
Find j, given that 4*j**3/3 + 20*j**2/3 - 88*j = 0.
-11, 0, 6
Solve -2*o**4/7 + 12*o**2/7 - 16*o/7 + 6/7 = 0.
-3, 1
Determine x, given that 18*x**4 - 48*x**3 + 44*x**2 - 16*x + 2 = 0.
1/3, 1
Factor 2*v**4 - 258*v**3 + 762*v**2 - 758*v + 252.
2*(v - 126)*(v - 1)**3
Let d**3/4 - 4207*d**2/4 + 1105652*d + 1106704 = 0. What is d?
-1, 2104
Factor r**4/2 + 2*r**3 - 5*r**2/2.
r**2*(r - 1)*(r + 5)/2
Factor -u**5 + 3*u**3 + 2*u**2.
-u**2*(u - 2)*(u + 1)**2
Determine y so that -2*y**5/7 - 12*y**4 - 80*y**3/7 + 12*y**2 + 82*y/7 = 0.
-41, -1, 0, 1
Let 4*a**2/5 - 24*a/5 + 4 = 0. What is a?
1, 5
Factor -5*y**3 - 25*y**2 + 5*y + 25.
-5*(y - 1)*(y + 1)*(y + 5)
Suppose 5*z**4 - 5*z**3 - 155*z**2 - 355*z - 210 = 0. What is z?
-3, -2, -1, 7
What is f in 2*f**3 - 32*f**2 + 170*f - 300 = 0?
5, 6
Factor -5*w**4 - 550*w**3 - 19380*w**2 - 280330*w - 1449335.
-5*(w + 17)**3*(w + 59)
Determine p, given that 6*p**3/7 + 212*p**2/7 + 206*p/21 - 20/3 = 0.
-35, -2/3, 1/3
What is n in 2*n**3 + 5*n**2 - 2*n - 5 = 0?
-5/2, -1, 1
Factor -2*a**3/5 - 8*a**2/5 + 6*a/5 + 36/5.
-2*(a - 2)*(a + 3)**2/5
Solve 28*z**3/5 - 424*z**2 - 7244*z/5 - 1896/5 = 0.
-3, -2/7, 79
Determine x so that -2*x**2/7 - 48*x/7 = 0.
-24, 0
Suppose -2*o**3/3 - 2656*o**2/9 - 294814*o/9 - 195364/9 = 0. Calculate o.
-221, -2/3
What is n in -2*n**3 - 226*n**2 + 228*n = 0?
-114, 0, 1
Let -4*p**4/5 + 132*p**3/5 + 576*p**2 - 19440*p = 0. What is p?
-27, 0, 30
Factor 4*k**3/5 - 368*k**2/5 - 764*k/5 + 1128/5.
4*(k - 94)*(k - 1)*(k + 3)/5
Factor 4*u**4/3 + 376*u**3 - 756*u**2 + 1136*u/3.
4*u*(u - 1)**2*(u + 284)/3
Solve -q**2/7 - 5*q/7 + 24/7 = 0 for q.
-8, 3
Factor 3*o**4/2 - 21*o**3/2 - 3*o**2/2 + 21*o/2.
3*o*(o - 7)*(o - 1)*(o + 1)/2
Factor -2*s**2 + 56*s - 104.
-2*(s - 26)*(s - 2)
Solve -148996*v**4 + 142820*v**3 - 31137*v**2 - 1480*v - 16 = 0 for v.
-4/193, 1/2
Determine c so that -4*c**4/3 + 608*c**3/3 - 1184*c**2 + 7040*c/3 - 4672/3 = 0.
2, 146
Let -4*x**2 - 7*x - 3 = 0. What is x?
-1, -3/4
Let -2*a**2/9 + 10*a/9 - 8/9 = 0. Calculate a.
1, 4
What is h in -5*h**4/2 - 25*h**3/2 + 135*h**2/2 + 505*h/2 + 175 = 0?
-7, -2, -1, 5
Solve 6*n**5 - 63*n**4/2 + 15*n**3/2 = 0 for n.
0, 1/4, 5
Factor 5*z**4/2 + 35*z**3/2 - 205*z**2/2 + 165*z/2.
5*z*(z - 3)*(z - 1)*(z + 11)/2
Factor 2*u**4 - 8*u**3 + 4*u**2 + 8*u - 6.
2*(u - 3)*(u - 1)**2*(u + 1)
Determine k so that -4*k**5 + 12*k**4 + 100*k**3 + 100*k**2 - 96*k - 112 = 0.
-2, -1, 1, 7
Factor 8*w**3/3 - 1096*w**2 + 112614*w.