570)**2/3
Let -f**2/3 + 5*f/3 - 4/3 = 0. Calculate f.
1, 4
Suppose -2*x**3/7 - 864*x**2/7 - 93312*x/7 = 0. Calculate x.
-216, 0
Determine w, given that -4*w**2/9 - 67*w/9 - 31 = 0.
-9, -31/4
Suppose -9*u**3 - 33*u**2 + 18*u + 24 = 0. Calculate u.
-4, -2/3, 1
Find m, given that -14*m**5 - 830*m**4 + 604*m**3 + 240*m**2 = 0.
-60, -2/7, 0, 1
Suppose -v**5/3 + 2*v**4 - 8*v**3/3 - 2*v**2/3 + 3*v - 4/3 = 0. Calculate v.
-1, 1, 4
Let -3*v**3 + 102*v**2 - 195*v + 96 = 0. Calculate v.
1, 32
Determine p, given that -p**5/7 + p**4 - 17*p**3/7 + 17*p**2/7 - 6*p/7 = 0.
0, 1, 2, 3
Factor -a**4/4 - 19*a**3/2.
-a**3*(a + 38)/4
What is s in 25*s**5 + 2030*s**4 - 1645*s**3 - 410*s**2 = 0?
-82, -1/5, 0, 1
Factor c**3/3 + 2438*c**2/3 + 1485961*c/3.
c*(c + 1219)**2/3
Factor 9*h**2 + 87*h + 54.
3*(h + 9)*(3*h + 2)
Solve 9*x**4 + 21*x**3 + 13*x**2 - x - 2 = 0 for x.
-1, -2/3, 1/3
Determine c so that -3*c**3 + 1023*c**2 - 84597*c - 448935 = 0.
-5, 173
Find z such that 848*z**2/7 + 1156*z/7 + 120/7 = 0.
-5/4, -6/53
Factor -2*q**2/13 + 82*q/13 + 172/13.
-2*(q - 43)*(q + 2)/13
Determine m so that 2*m**2/7 - 104*m/7 + 102/7 = 0.
1, 51
Let -5*m**4 + 130*m**3 - 125*m**2 = 0. What is m?
0, 1, 25
Factor -j**4/3 - 24*j**3 - 381*j**2 + 5548*j/3 - 1444.
-(j - 3)*(j - 1)*(j + 38)**2/3
Find p such that 5*p**2 - 120*p - 3200 = 0.
-16, 40
Find q, given that 4*q**5 + 28*q**4 + 36*q**3 - 108*q**2 - 216*q = 0.
-3, 0, 2
Solve -49*i**2/5 - 2870*i - 210125 = 0 for i.
-1025/7
Factor 3*r**2 - 9*r - 30.
3*(r - 5)*(r + 2)
Let -10*t**4 - 75*t**3 - 25*t**2 + 75*t + 35 = 0. Calculate t.
-7, -1, -1/2, 1
Solve o**2/5 + 118*o/5 + 3481/5 = 0.
-59
Factor b**2/5 - 19*b/5.
b*(b - 19)/5
Solve 2*a**3/9 - 1630*a**2/9 - 3266*a/9 - 1634/9 = 0.
-1, 817
Factor -2*f**3/5 + 184*f**2/5 - 712*f/5 + 704/5.
-2*(f - 88)*(f - 2)**2/5
Find d such that -3*d**3 + 84*d**2 + 177*d + 90 = 0.
-1, 30
Find t such that 7*t**5/3 + 110*t**4/3 + 241*t**3/3 - 106*t**2/3 - 356*t/3 + 104/3 = 0.
-13, -2, 2/7, 1
Factor -3*g**3 - 1776*g**2 - 266364*g - 1037232.
-3*(g + 4)*(g + 294)**2
Solve 15*t**3/2 + 11*t**2/2 + t = 0.
-2/5, -1/3, 0
Determine b, given that -2*b**4/3 - 236*b**3 - 59762*b**2/3 + 170864*b - 1048352/3 = 0.
-181, 4
Factor 3*r**2/4 - 33*r/2 - 36.
3*(r - 24)*(r + 2)/4
Let -4*p**3 + 43*p**2 + 2915*p + 726 = 0. What is p?
-22, -1/4, 33
Solve 3*o**3 - 105*o**2 + 1224*o - 4752 = 0 for o.
11, 12
Factor 3*y**4 - 999*y**3 + 83664*y**2 - 82668*y.
3*y*(y - 166)**2*(y - 1)
Factor -2*p**5 - 2*p**4 + 22*p**3 + 58*p**2 + 52*p + 16.
-2*(p - 4)*(p + 1)**3*(p + 2)
Factor -i**2 + 22*i.
-i*(i - 22)
Factor c**2/6 - 832*c/3 + 346112/3.
(c - 832)**2/6
Solve -3*d**3/2 - 48*d**2 + 657*d/2 - 513 = 0.
-38, 3
Suppose -3*h**4 - 10*h**3 + 9*h**2 + 4*h = 0. Calculate h.
-4, -1/3, 0, 1
Solve -2*g**2 + 1026*g + 2060 = 0 for g.
-2, 515
Solve 28*c**5/3 + 432*c**4 - 6688*c**3/3 + 840*c**2 + 4716*c + 1224 = 0 for c.
-51, -1, -2/7, 3
Suppose -2*g**3 + 14*g**2/3 - 8/3 = 0. Calculate g.
-2/3, 1, 2
Factor -3*q**4 - 513*q**3 - 1014*q**2.
-3*q**2*(q + 2)*(q + 169)
Suppose -2*i**3/13 - 94*i**2/13 - 352*i/13 - 344/13 = 0. What is i?
-43, -2
Factor -2*m**5 + 8*m**4 - 10*m**3 + 4*m**2.
-2*m**2*(m - 2)*(m - 1)**2
Factor f**5/6 + 7*f**4/6 + 5*f**3/3.
f**3*(f + 2)*(f + 5)/6
Find g such that g**2 - 48*g + 560 = 0.
20, 28
Find r, given that -r**4/6 - 31*r**3/2 - 443*r**2/6 - 85*r/2 + 132 = 0.
-88, -3, 1
Determine h so that h**2 - 11*h + 10 = 0.
1, 10
What is o in 5*o**3 - 430*o**2 + 9245*o = 0?
0, 43
Determine v, given that -7*v**4 - 306*v**3 - 199*v**2 + 684*v - 172 = 0.
-43, -2, 2/7, 1
Let 370*r**2/13 - 4*r/13 = 0. Calculate r.
0, 2/185
Factor 3*n**3 + 126*n**2 + 1296*n.
3*n*(n + 18)*(n + 24)
Solve 2*u**5/7 - 2*u**4/7 - 10*u**3/7 + 2*u**2/7 + 16*u/7 + 8/7 = 0 for u.
-1, 2
Solve -9*q**5 + 390*q**4 - 3678*q**3 - 11736*q**2 - 10833*q - 3174 = 0 for q.
-1, -2/3, 23
Factor -4*i**2 + 188*i + 2552.
-4*(i - 58)*(i + 11)
What is b in -3*b**4/4 - 7*b**3/4 + 13*b**2/4 + 23*b/4 + 3/2 = 0?
-3, -1, -1/3, 2
Factor -2*c**2/7 + 16*c + 114/7.
-2*(c - 57)*(c + 1)/7
Factor 2*a**3/7 + 110*a**2/7 - 1796*a/7 - 272.
2*(a - 14)*(a + 1)*(a + 68)/7
What is p in -2*p**2 + 62*p + 132 = 0?
-2, 33
Factor w**2/6 - 167*w/6 + 83/3.
(w - 166)*(w - 1)/6
Factor 3*m**3/4 - 57*m**2/4 + 27*m/2.
3*m*(m - 18)*(m - 1)/4
Factor -3*m**4/7 - 12*m**3/7 + 36*m**2/7.
-3*m**2*(m - 2)*(m + 6)/7
Let 2*n**5/3 - 22*n**4/3 + 16*n**3 + 24*n**2 = 0. Calculate n.
-1, 0, 6
Factor -4*l**3 - 52*l**2 - 92*l - 44.
-4*(l + 1)**2*(l + 11)
Solve -2*b**3 - 24*b**2 + 2*b + 24 = 0.
-12, -1, 1
Determine s so that 169*s**4/3 + 221*s**3/3 - 94*s**2 - 100*s/3 - 8/3 = 0.
-2, -2/13, 1
Suppose 4*i**4 - 772*i**2 - 5808*i - 12240 = 0. What is i?
-6, -5, 17
Factor 5*h**2 - 18140*h + 16452980.
5*(h - 1814)**2
Suppose -2*n**4/9 - 58*n**3/9 - 94*n**2/9 + 370*n/9 - 24 = 0. Calculate n.
-27, -4, 1
Determine a so that -3*a**2/4 + 135*a/4 + 318 = 0.
-8, 53
Factor 3*i**2/5 - 87*i/5 + 414/5.
3*(i - 23)*(i - 6)/5
Factor -3*w**3 - 33*w**2 - 24*w + 60.
-3*(w - 1)*(w + 2)*(w + 10)
Determine m so that 2*m**2 + 48*m + 46 = 0.
-23, -1
Find k such that k**4 - 18*k**3 + 72*k**2 + 162*k - 729 = 0.
-3, 3, 9
Let 4*k**4 + 728*k**3 + 33844*k**2 + 65520*k + 32400 = 0. Calculate k.
-90, -1
Solve 2*u**4/11 + 344*u**3/11 - 1400*u**2/11 + 128*u = 0.
-176, 0, 2
Determine j so that 2*j**2 - 70*j = 0.
0, 35
Factor i**3 + 8*i**2 - i - 8.
(i - 1)*(i + 1)*(i + 8)
Determine y so that -7*y**2 - 19*y + 6 = 0.
-3, 2/7
Factor -j**3 - 84*j**2 - 161*j + 246.
-(j - 1)*(j + 3)*(j + 82)
Determine p so that -3*p**5 + 4698*p**4 - 2452356*p**3 + 426709944*p**2 = 0.
0, 522
Factor a**3 - 8*a**2 + 12*a.
a*(a - 6)*(a - 2)
Solve 5*c**3/3 + 280*c**2/3 + 235*c - 1590 = 0 for c.
-53, -6, 3
Let 3*n**4 + 74*n**3 + 1213*n**2/3 - 1924*n/3 + 676/3 = 0. What is n?
-13, 2/3
Factor -2*d**4/3 - d**3 + 8*d**2/3 - d.
-d*(d - 1)*(d + 3)*(2*d - 1)/3
Factor 4*f**5 + 280*f**4 + 544*f**3.
4*f**3*(f + 2)*(f + 68)
Solve 4*c**4/9 + 50*c**3/9 + 218*c**2/9 + 400*c/9 + 88/3 = 0 for c.
-11/2, -3, -2
Suppose 21*x**3/2 + 753*x**2/8 - 27*x/8 = 0. What is x?
-9, 0, 1/28
Factor -3*q**4/2 + 9*q**3/2 + 9*q**2 - 12*q.
-3*q*(q - 4)*(q - 1)*(q + 2)/2
Find u such that -21*u**4 + 26424*u**3 - 8316009*u**2 + 2373846*u = 0.
0, 2/7, 629
Factor -6*v**4 - 135*v**3 - 7275*v**2/8 - 3375*v/2 - 1875/2.
-3*(v + 10)**2*(4*v + 5)**2/8
Let -m**2/12 - 59*m/6 - 3481/12 = 0. Calculate m.
-59
Factor 2*n**3 - 4*n**2 - 10*n + 12.
2*(n - 3)*(n - 1)*(n + 2)
Factor -r**3/4 + 49*r**2/2 - 287*r/4 + 95/2.
-(r - 95)*(r - 2)*(r - 1)/4
Let -q**2/8 + 305*q/2 - 93025/2 = 0. What is q?
610
Suppose -2*m**4/3 + 2*m**3/3 + 2*m**2/3 - 2*m/3 = 0. What is m?
-1, 0, 1
Let -4*c**5 - 16*c**4 + 60*c**3 + 56*c**2 - 112*c - 96 = 0. What is c?
-6, -1, 2
Factor -m**2/4 - 49*m/4 + 25/2.
-(m - 1)*(m + 50)/4
Suppose -2*i**2/15 + 6*i/5 + 44/15 = 0. What is i?
-2, 11
Factor m**3/2 + 213*m**2/2 + 11235*m/2 - 11449/2.
(m - 1)*(m + 107)**2/2
Factor -2*b**3/11 + 30*b**2/11 - 150*b/11 + 250/11.
-2*(b - 5)**3/11
Let 3*l**3/5 - 132*l**2/5 - 567*l/5 - 432/5 = 0. What is l?
-3, -1, 48
Suppose -4*l**3 - 136*l**2 + 139*l - 35 = 0. What is l?
-35, 1/2
Solve 5*j**2 - 34040*j + 57936080 = 0 for j.
3404
Factor 2*a**2/15 + 34*a/5.
2*a*(a + 51)/15
Solve c**4 - 67*c**3 + 1353*c**2 - 6989*c - 8410 = 0 for c.
-1, 10, 29
What is a in 5*a**3 - 315*a**2 - 980*a - 660 = 0?
-2, -1, 66
Determine d so that 15552*d**5/7 + 30672*d**4/7 - 47517*d**3/7 + 186*d**2 - 9*d/7 = 0.
-3, 0, 1/72, 1
Solve -3*n**4 - 30*n**3 - 69*n**2 + 30*n + 72 = 0.
-6, -4, -1, 1
Factor 2*w**5/7 + 52*w**4/7 + 50*w**3/7.
2*w**3*(w + 1)*(w + 25)/7
Factor 2*d**5 + 6*d**4 - 12*d**3 - 52*d**2 - 54*d - 18.
2*(d - 3)*(d + 1)**3*(d + 3)
Find z, given that -8*z**2 + 180*z - 928 = 0.
8, 29/2
Let -2*d**2/5 + 856*d/5 - 1704/5 = 0. Calculate d.
2, 426
Factor -r**3 - 9*r**2/2 + 11*r/2 + 15.
-(r - 2)*(r + 5)*(2*r + 3)/2
Find u such that -2*u**2/15 + 440*u/3 - 121000/3 = 0.
550
Factor 2*j**5 + 2*j**4 - 12*j**3 - 8*j**2 + 16*j.
2*j*(j - 2)*(j - 1)*(j + 2)**2
Factor -3*j**2/7 - 7614*j/7.
-3*j*(j + 2538)/7
Let 2*w**5 + 20*w**4 - 118*w**3 - 424*w**2 + 1376*w + 1664 = 0. Calculate w.
-13, -4, -1, 4
Suppose 3*w**3 + 21*w**2 - 12*w - 84 = 0. Calculate w.
-7, -2, 2
Factor 2*q**2/11 + 12*q/11 - 14/11.
2*(q - 1)*(q + 7)/11
Find b such that 2*b**5 - 1004*b**4/3 