5 + 4.
(v + 2)**2*(v + 5)*(3*v + 1)/5
Find g such that g**3/4 - 6*g**2 + 32*g = 0.
0, 8, 16
What is c in -2*c**4 + 78*c**3 + 738*c**2 + 658*c = 0?
-7, -1, 0, 47
Factor -r**2/8 - 3*r/8 + 5/4.
-(r - 2)*(r + 5)/8
Suppose -z**3/10 - z**2/10 + z/5 = 0. Calculate z.
-2, 0, 1
Solve -3*q**4/2 - 1455*q**3/2 - 4329*q**2 - 8634*q - 5748 = 0 for q.
-479, -2
Solve 2*b**2/13 - 16*b/13 - 40/13 = 0 for b.
-2, 10
Suppose -4*c**2 + 120*c + 124 = 0. Calculate c.
-1, 31
Factor 2*o**2/5 + 28944*o/5 + 104719392/5.
2*(o + 7236)**2/5
Factor -45*r**2 - 84*r + 12.
-3*(r + 2)*(15*r - 2)
Factor 1568*i**4/11 - 560*i**3/11 + 50*i**2/11.
2*i**2*(28*i - 5)**2/11
Factor 2*r**3/9 + 2*r**2/3 - 4*r/3 - 16/9.
2*(r - 2)*(r + 1)*(r + 4)/9
Let 3*t**5 + 30*t**4 - 36*t**3 - 30*t**2 + 33*t = 0. What is t?
-11, -1, 0, 1
What is v in 2*v**5/5 + 14*v**4/5 - 42*v**3/5 - 38*v**2/5 + 136*v/5 - 72/5 = 0?
-9, -2, 1, 2
Determine o so that 63*o**3 + 30299*o**2 - 1928*o - 1924 = 0.
-481, -2/9, 2/7
Suppose z**3/2 + 327*z**2/2 - 164*z = 0. What is z?
-328, 0, 1
Let 5*k**2/4 + 35*k + 135/4 = 0. What is k?
-27, -1
Determine w, given that 2*w**3/19 + 18*w**2/19 + 36*w/19 = 0.
-6, -3, 0
Determine x, given that -3*x**5/7 - 4*x**4/7 + 13*x**3/7 - 6*x**2/7 = 0.
-3, 0, 2/3, 1
Solve -16*t**5 + 20*t**4 + 236*t**3 + 308*t**2 + 68*t - 40 = 0 for t.
-2, -1, 1/4, 5
Factor -3*m**4 - 24*m**3 + 33*m**2 + 54*m.
-3*m*(m - 2)*(m + 1)*(m + 9)
Find q, given that -3*q**2 - 54*q - 243 = 0.
-9
Find q such that 4*q**2/3 + 32*q/3 - 12 = 0.
-9, 1
Factor 25*b**2 + 1260*b + 500.
5*(b + 50)*(5*b + 2)
Factor -49*u**3/3 - 2072*u**2/3 - 21904*u/3.
-u*(7*u + 148)**2/3
Factor -58*f**2 + 80*f.
-2*f*(29*f - 40)
Factor w**4/3 - 2*w**3/3 - 9*w**2 + 56*w/3 + 80/3.
(w - 4)**2*(w + 1)*(w + 5)/3
Factor -u**3/10 + 21*u**2/10 + 312*u + 24674/5.
-(u - 73)*(u + 26)**2/10
Factor p**4/4 - 7*p**3/4 - 3*p**2 + 44*p - 80.
(p - 4)**3*(p + 5)/4
Suppose -3*m**3/4 - 15*m**2/4 + 3*m/4 + 15/4 = 0. What is m?
-5, -1, 1
Determine l so that -5*l**3 - 215*l**2 + 230*l + 440 = 0.
-44, -1, 2
Factor j**3 + 22*j**2/5 + 3*j - 18/5.
(j + 2)*(j + 3)*(5*j - 3)/5
Determine s, given that 2*s**4/3 - 26*s**3/3 - 8*s**2/3 + 104*s/3 = 0.
-2, 0, 2, 13
Let 4*c**5/9 + 56*c**4/3 + 916*c**3/9 + 640*c**2/3 + 1744*c/9 + 64 = 0. What is c?
-36, -2, -1
Solve 3*c**5/2 + 3*c**4/2 - 9*c**3/2 - 3*c**2/2 + 3*c = 0.
-2, -1, 0, 1
Determine g, given that 6*g**3/5 + 21*g**2/5 + 12*g/5 - 12/5 = 0.
-2, 1/2
Factor d**4/3 - 3*d**2.
d**2*(d - 3)*(d + 3)/3
Factor 2*t**2/9 - 40*t/9 - 88/9.
2*(t - 22)*(t + 2)/9
Factor 3*h**3 - 153*h**2 + 1518*h - 1368.
3*(h - 38)*(h - 12)*(h - 1)
Factor 3*t**5 - 9*t**4 - 6*t**3 + 36*t**2 - 24*t.
3*t*(t - 2)**2*(t - 1)*(t + 2)
Factor 4*u**2 + 92*u + 360.
4*(u + 5)*(u + 18)
Let 64*n**2 + 48*n + 9 = 0. What is n?
-3/8
Factor -2*l**2 + 808*l - 81608.
-2*(l - 202)**2
Factor -r**5 - 9*r**4 + 2*r**3 + 18*r**2 - r - 9.
-(r - 1)**2*(r + 1)**2*(r + 9)
What is j in j**3 - 9*j**2 + 14*j + 24 = 0?
-1, 4, 6
Solve 4*m**4 - 44*m**3 + 132*m**2 - 148*m + 56 = 0.
1, 2, 7
Find n such that n**5/2 - 30*n**4 - 125*n**3 - 190*n**2 - 255*n/2 - 32 = 0.
-1, 64
What is z in z**2 - 1 = 0?
-1, 1
Factor -5*h**3 - 20*h**2 + 100*h + 240.
-5*(h - 4)*(h + 2)*(h + 6)
Factor -o**3/2 + 21*o**2/2 - 99*o/2 - 121/2.
-(o - 11)**2*(o + 1)/2
Let -2*i**4 - 416*i**3 - 29748*i**2 - 790064*i - 4210682 = 0. What is i?
-67, -7
Let u**4/9 - 56*u**3/9 + 998*u**2/9 - 5704*u/9 + 529 = 0. Calculate u.
1, 9, 23
Factor d**5 + d**4 - d**3 - d**2.
d**2*(d - 1)*(d + 1)**2
Let -w**2/6 + 13*w/6 - 6 = 0. What is w?
4, 9
Factor a**4 - 5*a**3 + 9*a**2 - 7*a + 2.
(a - 2)*(a - 1)**3
Find y, given that 2*y**2/7 - 464*y/7 - 466/7 = 0.
-1, 233
Solve j**4/5 - 4*j**3/5 + 2*j**2/5 + 4*j/5 - 3/5 = 0 for j.
-1, 1, 3
Solve f**5/7 - f**4/7 - 3*f**3/7 + 5*f**2/7 - 2*f/7 = 0.
-2, 0, 1
Find l such that -9*l**2 - 48*l - 60 = 0.
-10/3, -2
Factor -3*h**5 - 51*h**4 - 93*h**3 - 45*h**2.
-3*h**2*(h + 1)**2*(h + 15)
Factor -3*j**5/2 - 6*j**4 - 3*j**3/2 + 15*j**2 + 6*j - 12.
-3*(j - 1)**2*(j + 2)**3/2
Factor -5*c**2/3 + 350*c/3 - 6125/3.
-5*(c - 35)**2/3
Solve -5*k**3 + 90*k**2 + 195*k + 100 = 0 for k.
-1, 20
Factor 3*m**5 - 9*m**4 - 18*m**3 + 84*m**2 - 72*m.
3*m*(m - 2)**3*(m + 3)
Solve 12*a**4 + 1204*a**3 + 31564*a**2 + 68012*a + 19208 = 0 for a.
-49, -2, -1/3
What is p in p**4/3 - 14*p**3/3 + 53*p**2/3 - 76*p/3 + 12 = 0?
1, 2, 9
Factor -2*u**3/5 + 8*u**2/5 - 2*u/5 - 12/5.
-2*(u - 3)*(u - 2)*(u + 1)/5
Suppose 2*m**5 - 48*m**4 + 282*m**3 + 140*m**2 - 768*m - 576 = 0. What is m?
-1, 2, 12
Solve 5*n**5/2 - 65*n**4/2 - 145*n**3/2 - 75*n**2/2 = 0 for n.
-1, 0, 15
Determine s, given that 4*s**2 + 276*s + 1512 = 0.
-63, -6
Let 4*k**4 + 40*k**3 + 60*k**2 - 40*k - 64 = 0. What is k?
-8, -2, -1, 1
Factor 3*a**2/5 + 48*a/5 + 144/5.
3*(a + 4)*(a + 12)/5
Determine u, given that 4*u**2 + 116*u + 760 = 0.
-19, -10
Factor -2*t**2/11 - 2*t/11 + 4/11.
-2*(t - 1)*(t + 2)/11
Find y such that -45*y**5 - 15*y**4 + 280*y**3 - 240*y**2 = 0.
-3, 0, 4/3
Determine y, given that 2*y**3 + 22*y**2 + 20*y - 144 = 0.
-9, -4, 2
Factor 3*q**3 - 24*q**2 + 63*q - 54.
3*(q - 3)**2*(q - 2)
Solve -r**4/4 - 37*r**3/4 - 179*r**2/2 - 63*r + 162 = 0 for r.
-18, -2, 1
Find j such that 3*j**3 + 21*j**2 - 3*j - 21 = 0.
-7, -1, 1
Determine g so that g**5 - 6*g**4 - 17*g**3 + 78*g**2 - 56*g = 0.
-4, 0, 1, 2, 7
Factor -2*u**3/7 + 88*u**2/7 + 90*u/7.
-2*u*(u - 45)*(u + 1)/7
Factor t**3/10 - 31*t**2/5 + 112*t - 2352/5.
(t - 28)**2*(t - 6)/10
Let 2*h**2/19 + 4*h/19 = 0. Calculate h.
-2, 0
Factor x**3/3 + x**2 - 4*x/3.
x*(x - 1)*(x + 4)/3
Factor 3*d**2/5 + 1146*d/5 + 109443/5.
3*(d + 191)**2/5
Suppose 5*g**4 + 355*g**3 + 8280*g**2 + 60480*g - 69120 = 0. Calculate g.
-24, 1
Factor 2*q**2/5 + 1186*q/5.
2*q*(q + 593)/5
Let -9*a**4/8 - 63*a**3/4 - 101*a**2/2 + 7*a/4 + 45/8 = 0. What is a?
-9, -5, -1/3, 1/3
Factor 6*d**3 - 88*d**2/5 - 8*d/5 + 128/5.
2*(d - 2)**2*(15*d + 16)/5
Factor -3*x**4/7 + 9*x**3/7 + 12*x**2/7.
-3*x**2*(x - 4)*(x + 1)/7
Determine h, given that 2*h**5/7 + 4*h**4/7 - 4*h**3/7 - 16*h**2/7 - 2*h - 4/7 = 0.
-1, 2
Factor -100*o**3 + 2985*o**2 - 22050*o - 3375.
-5*(o - 15)**2*(20*o + 3)
Determine n, given that n**3/7 + 12*n**2/7 + 5*n/7 - 66/7 = 0.
-11, -3, 2
Factor 2*s**2/7 - 208*s/7 + 606/7.
2*(s - 101)*(s - 3)/7
Factor -a**4/3 + a**2 + 2*a/3.
-a*(a - 2)*(a + 1)**2/3
Solve -5*m**2 + 2465*m - 4910 = 0.
2, 491
Factor -3*o**2 + 228*o - 4332.
-3*(o - 38)**2
Find s such that 3*s**5 - 81*s**4 + 645*s**3 - 1539*s**2 - 648*s + 1620 = 0.
-1, 1, 6, 15
Determine u, given that 15*u**2 - 25*u + 10 = 0.
2/3, 1
Find z, given that -z**2/4 - 27*z/4 - 13/2 = 0.
-26, -1
Find i, given that i**2/6 - 307*i/3 + 94249/6 = 0.
307
Factor -2*t**2 - 132*t + 134.
-2*(t - 1)*(t + 67)
Factor -5*g**3/4 - 23*g**2/4 - 6*g.
-g*(g + 3)*(5*g + 8)/4
Factor 10*o**4/3 - o**3 - 70*o**2/3.
o**2*(2*o + 5)*(5*o - 14)/3
What is y in 3*y**3/4 + 51*y**2/4 - 60*y + 63 = 0?
-21, 2
Determine n, given that 3*n**3 - 18*n**2 - 12*n + 72 = 0.
-2, 2, 6
Factor -125*c**4 - 10175*c**3 - 4055*c**2 - 405*c.
-5*c*(c + 81)*(5*c + 1)**2
Factor -4*b**5 - 8*b**4 + 8*b**2 + 4*b.
-4*b*(b - 1)*(b + 1)**3
Find b such that -15*b**4/2 + b**3/2 = 0.
0, 1/15
Factor 3*f**4/2 + 52*f**3 - 35*f**2/2.
f**2*(f + 35)*(3*f - 1)/2
Factor k**4/9 + k**3/3 - 2*k**2/3 - 28*k/9 - 8/3.
(k - 3)*(k + 2)**3/9
Determine y so that 4*y**2/5 - 8*y/5 = 0.
0, 2
Solve -2*u**4 - 398*u**3 + 2024*u**2 - 3256*u + 1632 = 0.
-204, 1, 2
Let -4*w**4 + 76*w**3 - 72*w**2 = 0. What is w?
0, 1, 18
Suppose -2*w**3/7 - 52*w**2/7 - 176*w/7 = 0. Calculate w.
-22, -4, 0
Determine c, given that 23*c**3 - 43*c**2 - 190*c - 24 = 0.
-2, -3/23, 4
Factor -4*t**5 + 428*t**4 + 432*t**3.
-4*t**3*(t - 108)*(t + 1)
Let 4*n**2/7 + 4*n - 912/7 = 0. What is n?
-19, 12
Suppose c**2 - 6966*c + 12131289 = 0. What is c?
3483
Factor -r**4/4 + 375*r**3/4 - 559*r**2/2 + 186*r.
-r*(r - 372)*(r - 2)*(r - 1)/4
Factor -3*d**4 - 126*d**3 + 405*d**2 - 12*d - 540.
-3*(d - 2)**2*(d + 1)*(d + 45)
Factor 35*o**2 - 220*o + 60.
5*(o - 6)*(7*o - 2)
What is x in -2*x**5/3 + 4*x**4/3 + 2*x**3/3 - 4*x**2/3 = 0?
-1, 0, 1, 2
Suppose 260*y**3 + 374*y**2 + 118*y + 4 = 0. What is y?
-1, -2/5, -1/26
Find v, given that -v**2/5 + 7*v/5 + 6 = 0.
-3, 10
Let 2*q**3 - 22*q**2 - 160*q + 1800 = 0. Calculate q.
-9, 10
Suppose -l**4/5 - 11*l**3/5 - 2