q**4 - 780*q**3 + 1585*q**2 - 300*q = 0.
0, 4/19, 3, 5
Find s, given that -2*s**3/5 - 38*s**2/5 + 228*s/5 - 288/5 = 0.
-24, 2, 3
Solve 9*g**2 - 5528*g + 1228 = 0.
2/9, 614
Let 2*t**2/7 - 18*t/7 - 104/7 = 0. Calculate t.
-4, 13
Solve -15*k**4/2 - 87*k**3/2 - 147*k**2/2 - 57*k/2 + 9 = 0.
-3, -2, -1, 1/5
Factor 487*g**2 - 488*g + 1.
(g - 1)*(487*g - 1)
Factor -3*z**4/4 + 51*z**3 - 39*z**2 - 28152*z - 228528.
-3*(z - 46)**2*(z + 12)**2/4
Determine f so that f**2/3 + 19*f + 722/3 = 0.
-38, -19
Determine a so that -2*a**2/15 + 2*a/15 + 8/5 = 0.
-3, 4
Factor -2*n**2/21 + 6*n - 120/7.
-2*(n - 60)*(n - 3)/21
Suppose -2*d**4/5 - 186*d**3/5 - 366*d**2/5 - 182*d/5 = 0. Calculate d.
-91, -1, 0
Find v such that -2*v**3 + 654*v**2 - 53136*v - 53792 = 0.
-1, 164
Factor 6*d**3/7 + 69*d**2 + 102*d + 237/7.
3*(d + 1)*(d + 79)*(2*d + 1)/7
Determine z, given that 20*z**4/3 + 626*z**3/3 - 596*z**2 + 1618*z/3 - 476/3 = 0.
-34, 7/10, 1
Suppose -70225*x**2 - 1590*x - 9 = 0. What is x?
-3/265
Let 3*m**5/2 + 45*m**4/4 - 105*m**3/2 + 225*m**2/4 - 33*m/2 = 0. What is m?
-11, 0, 1/2, 1, 2
Determine j, given that -j**4 + 9*j**3 - 30*j**2 + 44*j - 24 = 0.
2, 3
Factor -3*o**2/2 + 174*o - 1017/2.
-3*(o - 113)*(o - 3)/2
Let d**4 - 22*d**3 + 141*d**2 - 220*d + 100 = 0. Calculate d.
1, 10
Solve -m**3/5 + 58*m**2/5 + 59*m/5 = 0.
-1, 0, 59
Factor 3*b**2/7 - 36*b/7 + 60/7.
3*(b - 10)*(b - 2)/7
Factor -3*t**2/7 - 1824*t/7 - 277248/7.
-3*(t + 304)**2/7
Factor 8*i**3/11 + 38*i**2/11 - 10*i/11.
2*i*(i + 5)*(4*i - 1)/11
Factor 4*l**5 - 128*l**4.
4*l**4*(l - 32)
Let -z**3 - z**2 + 16*z - 20 = 0. What is z?
-5, 2
Factor -2*o**3/5 - 38*o**2/5 - 32*o/5 + 72/5.
-2*(o - 1)*(o + 2)*(o + 18)/5
Suppose 2*i**5 - 146*i**4 + 3230*i**3 - 20366*i**2 + 31616*i - 14336 = 0. Calculate i.
1, 7, 32
Factor -10*b**5 + 25*b**4 + 15*b**3.
-5*b**3*(b - 3)*(2*b + 1)
Suppose -15*d**4/2 + 65*d**3/2 + 190*d**2 - 310*d - 280 = 0. What is d?
-4, -2/3, 2, 7
Factor 2*v**3/23 - 50*v**2/23 - 52*v/23.
2*v*(v - 26)*(v + 1)/23
Suppose -2*c**5/3 - 52*c**4/9 - 50*c**3/9 + 20*c**2 + 296*c/9 + 112/9 = 0. Calculate c.
-7, -2, -1, -2/3, 2
Find f such that 3*f**2 - 42*f - 45 = 0.
-1, 15
Find r such that 30*r**2 - 55*r - 10 = 0.
-1/6, 2
Factor -5*y**3 + 60*y**2 - 205*y + 210.
-5*(y - 7)*(y - 3)*(y - 2)
Suppose 4*h**2 - 368*h + 8464 = 0. What is h?
46
Factor 2*n**3/3 + 6*n**2 - 20*n/3.
2*n*(n - 1)*(n + 10)/3
Factor 2*r**3/9 - 1150*r**2/9 + 1144*r/9 + 2296/9.
2*(r - 574)*(r - 2)*(r + 1)/9
Solve -a**4/2 + 11*a**3 - 131*a**2/2 + 55*a = 0 for a.
0, 1, 10, 11
Let 2*v**4 + 272*v**3 + 1298*v**2 - 1572*v = 0. What is v?
-131, -6, 0, 1
Let 2*z**5/9 - 4*z**4/3 + 2*z**3/9 + 16*z**2/3 - 40*z/9 = 0. What is z?
-2, 0, 1, 2, 5
Suppose -10*j**2/3 + 12*j + 16/3 = 0. What is j?
-2/5, 4
Factor 5*f**2 - 640*f - 645.
5*(f - 129)*(f + 1)
Let -116*r**5/5 + 468*r**4/5 - 16*r**3/5 = 0. What is r?
0, 1/29, 4
Suppose -3*v**2 - 42*v + 216 = 0. Calculate v.
-18, 4
What is o in 4*o**5 - 19*o**4 - 17*o**3 + 65*o**2 - 23*o - 10 = 0?
-2, -1/4, 1, 5
Factor 2*a**2/17 - 210*a/17 + 2848/17.
2*(a - 89)*(a - 16)/17
Factor -f**4/2 + f**3/2 + 2*f**2 - 2*f.
-f*(f - 2)*(f - 1)*(f + 2)/2
Factor 3*j**2/8 - 15*j/4 - 21.
3*(j - 14)*(j + 4)/8
Solve -6*h**2 + 2175*h - 1086 = 0.
1/2, 362
Factor -4*q**2 + 14072*q - 12376324.
-4*(q - 1759)**2
Determine s so that -s**4/2 - 7*s**3/2 + 5*s**2 + 8*s = 0.
-8, -1, 0, 2
Find s such that -s**2/5 - 82*s/5 - 1681/5 = 0.
-41
Suppose -2*d**4/11 + 424*d**3/11 - 22036*d**2/11 - 4280*d + 68694/11 = 0. Calculate d.
-3, 1, 107
Let 23*l**3 + 60*l**2 = 0. What is l?
-60/23, 0
Let -f**5/7 - 30*f**4/7 + 40*f**3/7 + 290*f**2/7 + 345*f/7 + 124/7 = 0. What is f?
-31, -1, 4
Factor -3*h**2 - 24*h + 60.
-3*(h - 2)*(h + 10)
Let 2*t**4/15 + 4*t**3/5 + 8*t**2/5 + 16*t/15 = 0. Calculate t.
-2, 0
Let -8*w**5/5 - 62*w**4/5 + 198*w**3/5 + 2196*w**2/5 + 648*w + 1296/5 = 0. Calculate w.
-6, -1, -3/4, 6
What is s in -2*s**5/11 + 12*s**4 - 264*s**3 + 1936*s**2 = 0?
0, 22
Factor -39*q**2 - 276*q - 21.
-3*(q + 7)*(13*q + 1)
Factor m**2 - 25*m - 1404.
(m - 52)*(m + 27)
Solve 4*q**3 + 76*q**2 - 164*q + 84 = 0 for q.
-21, 1
Solve -4*u**4/3 - 68*u**3/3 + 24*u**2 = 0.
-18, 0, 1
Determine b so that -b**3 - 16*b**2 + 371*b - 1470 = 0.
-30, 7
What is d in d**5/2 - d**4 - 5*d**3/2 + 5*d**2 + 2*d - 4 = 0?
-2, -1, 1, 2
Find m such that 2*m**3 + 12*m**2 - 64 = 0.
-4, 2
Determine p so that -5*p**3 + 90*p**2 - 475*p + 630 = 0.
2, 7, 9
Suppose -4*x**3 + 32*x**2 - 48*x = 0. What is x?
0, 2, 6
Factor -4*z**3 - 1876*z**2 + 4*z + 1876.
-4*(z - 1)*(z + 1)*(z + 469)
Factor 5*i**4 - 30*i**3 - 15*i**2 + 80*i + 60.
5*(i - 6)*(i - 2)*(i + 1)**2
Suppose -5*a**2/6 - 22675*a/3 - 102831125/6 = 0. What is a?
-4535
Factor 2*s**5 - 2*s**4 - 20*s**3 - 16*s**2.
2*s**2*(s - 4)*(s + 1)*(s + 2)
Factor -4*x**2 + 60*x + 216.
-4*(x - 18)*(x + 3)
Find n, given that 3*n**5 + 561*n**4/4 - 1485*n**3/8 - 2145*n**2/8 + 363*n/4 + 36 = 0.
-48, -1, -1/4, 1/2, 2
Factor 2*z**4 - 12*z**2 + 16*z - 6.
2*(z - 1)**3*(z + 3)
Find i, given that -2*i**3 + 12*i**2 = 0.
0, 6
Let -2*m**5 + 66*m**4 + 1194*m**3 + 5566*m**2 + 7824*m + 3384 = 0. What is m?
-6, -1, 47
Factor -5*u**2 - 5*u.
-5*u*(u + 1)
Solve -y**2/7 - 641*y/7 + 642/7 = 0.
-642, 1
Factor -2*z**2/5 + 14*z/5.
-2*z*(z - 7)/5
Factor 2*m**2/11 - 3246*m/11.
2*m*(m - 1623)/11
Factor 81*l**3 + 147*l**2 - 30*l.
3*l*(l + 2)*(27*l - 5)
Determine b, given that b**5 + 8*b**4 + 18*b**3 + 16*b**2 + 5*b = 0.
-5, -1, 0
Factor -c**4 - 20*c**3.
-c**3*(c + 20)
Suppose -5*i**2 + 45*i = 0. Calculate i.
0, 9
Find b, given that 2*b**2/21 - 72*b/7 + 1944/7 = 0.
54
Factor 3*a**3/5 + 8*a**2/5 - 33*a/5 + 2.
(a - 2)*(a + 5)*(3*a - 1)/5
What is a in 5*a**5/4 + 83*a**4/4 - 39*a**3/4 - 83*a**2/4 + 17*a/2 = 0?
-17, -1, 0, 2/5, 1
Factor -3*n**5/7 + 117*n**4/7 + 120*n**3/7.
-3*n**3*(n - 40)*(n + 1)/7
Find m such that -m**5/5 - 41*m**4/5 + m**3/5 + 41*m**2/5 = 0.
-41, -1, 0, 1
Factor h**3/5 - 2*h**2/5 - 8*h/5.
h*(h - 4)*(h + 2)/5
Let -10*o**3/9 - 49*o**2/9 - 7*o - 2 = 0. Calculate o.
-3, -3/2, -2/5
Suppose 5*o**5 + 5*o**4 - 5*o**3 - 5*o**2 = 0. What is o?
-1, 0, 1
Find l such that 4*l**3 + 124*l**2 - 544*l + 560 = 0.
-35, 2
Factor j**4 - 11*j**3 - 17*j**2 + 63*j - 36.
(j - 12)*(j - 1)**2*(j + 3)
Factor -105*d**2 + 2000*d - 95.
-5*(d - 19)*(21*d - 1)
Factor -2*i**3/11 - 806*i**2/11 - 81606*i/11 - 80802/11.
-2*(i + 1)*(i + 201)**2/11
Suppose -3*d**4 + 11*d**3 + 6*d**2 - 8*d = 0. What is d?
-1, 0, 2/3, 4
Determine m so that 3*m**5/2 - 15*m**4/2 - 33*m**3 - 24*m**2 = 0.
-2, -1, 0, 8
Factor y**3 + 19*y**2 + 16*y - 36.
(y - 1)*(y + 2)*(y + 18)
Factor -3*t**4 + 45*t**3 - 213*t**2 + 387*t - 216.
-3*(t - 8)*(t - 3)**2*(t - 1)
Factor -a**4/3 - 27*a**3 + 200*a**2 - 1396*a/3 + 352.
-(a - 3)*(a - 2)**2*(a + 88)/3
Factor 22*t**2/5 - 134*t/5.
2*t*(11*t - 67)/5
Solve -6*u**4 - 4365*u**3/2 + 570*u**2 + 8730*u - 2184 = 0 for u.
-364, -2, 1/4, 2
What is l in 14*l**3 - 130*l**2 + 36*l = 0?
0, 2/7, 9
Factor -3*y**3 + 21834*y**2 - 52969284*y + 42834494328.
-3*(y - 2426)**3
Determine s so that -s**5/7 + 85*s**4/7 - 1675*s**3/7 - 5545*s**2/7 - 5720*s/7 - 1936/7 = 0.
-1, 44
Factor -4*c**4/7 + 72*c**2/7 - 324/7.
-4*(c - 3)**2*(c + 3)**2/7
Determine g, given that g**3/7 + 155*g**2/7 - 46*g - 1256/7 = 0.
-157, -2, 4
Let -4*s**3 + 152*s**2 - 292*s + 144 = 0. What is s?
1, 36
Factor -3*g**2 - 3024*g - 762048.
-3*(g + 504)**2
Factor 3*o**4/4 - 243*o**3/4 - 189*o**2.
3*o**2*(o - 84)*(o + 3)/4
Let 4*w**4 - 24*w**3 + 20*w**2 + 96*w - 144 = 0. Calculate w.
-2, 2, 3
Factor 5*a**4 - 45*a**3 + 110*a**2 - 160.
5*(a - 4)**2*(a - 2)*(a + 1)
Factor d**4/3 - 49*d**3/3 + 43*d**2/3 + 79*d + 48.
(d - 48)*(d - 3)*(d + 1)**2/3
What is n in 3*n**4/5 + 141*n**3/5 + 273*n**2/5 + 27*n = 0?
-45, -1, 0
Find p such that 309123*p**3 + 4014747*p**2 - 50064*p + 156 = 0.
-13, 2/321
Determine y, given that -2*y**3 + 2*y = 0.
-1, 0, 1
Factor r**4 + 62*r**3 - 127*r**2 + 64*r.
r*(r - 1)**2*(r + 64)
Determine j so that -12*j**4 + 4612*j**3 - 6112*j**2 - 6128*j = 0.
-2/3, 0, 2, 383
Determine g so that g**2/6 + 7*g/2 - 117 = 0.
-39, 18
What is i in -i**4/2 + 45*i**3/4 - 137*i**2/4 + 18*i + 19 = 0?
-1/2, 2, 19
Find b, given that -4*b**2 + 80*b - 76 = 0.
1, 19
Let -3*y**3 - 51*y**2 - 165*y - 117 = 0. What is y?
-13, -3, -1
Let i**5/9 + i**4/3 - 2*i**3/3 - 26*i**2/9 - 3*