2, 1
Factor -5*i**2 - 7250*i - 2628125.
-5*(i + 725)**2
Factor 5*s**2 + 820*s + 33620.
5*(s + 82)**2
Let -b**4/2 - 5*b**3/2 + 12*b**2 - 2*b - 16 = 0. Calculate b.
-8, -1, 2
Factor 2*n**3 - 24*n**2 - 86*n - 60.
2*(n - 15)*(n + 1)*(n + 2)
Factor -12*x**3 + 16*x**2 + 436*x + 280.
-4*(x - 7)*(x + 5)*(3*x + 2)
Factor -3*r**5/4 - 39*r**4 - 714*r**3 - 4704*r**2 + 4116*r + 115248.
-3*(r - 4)*(r + 14)**4/4
Factor -11*s**3/2 - 14*s**2 - 23*s/2 - 3.
-(s + 1)**2*(11*s + 6)/2
Determine i so that -5*i**3 - 25*i**2 + 5*i + 25 = 0.
-5, -1, 1
Factor 5*k**4 + 70*k**3 - 75*k**2.
5*k**2*(k - 1)*(k + 15)
Factor m**3/3 + 16*m**2 + 231*m + 882.
(m + 6)*(m + 21)**2/3
Factor 2*n**4/3 - 118*n**3/3 + 870*n**2 - 8550*n + 31500.
2*(n - 15)**3*(n - 14)/3
Factor 3*f**5 - 3*f**3.
3*f**3*(f - 1)*(f + 1)
Find x such that -x**5 + 14*x**4 - 46*x**3 + 64*x**2 - 41*x + 10 = 0.
1, 10
Factor -4*l**2 - 248*l - 3844.
-4*(l + 31)**2
Let -2*u**4 + 32*u**3/9 + 350*u**2/9 - 284*u/9 - 80/9 = 0. What is u?
-4, -2/9, 1, 5
Factor n**3/2 - 7*n**2/2 - 20*n + 50.
(n - 10)*(n - 2)*(n + 5)/2
Determine n, given that 2*n**4/3 - 1376*n**3 + 2121776*n**2/3 + 2845568*n + 8553248/3 = 0.
-2, 1034
Factor s**3/4 - 693*s**2/4 + 29754*s + 90828.
(s - 348)**2*(s + 3)/4
Let m**5 - m**4 - 3*m**3 + m**2 + 2*m = 0. What is m?
-1, 0, 1, 2
Solve 3*a**5 + 18*a**4 + 36*a**3 + 30*a**2 + 9*a = 0 for a.
-3, -1, 0
Factor 4*u**2 - 908*u + 904.
4*(u - 226)*(u - 1)
What is y in -3*y**4 - 282*y**3 + 864*y**2 - 870*y + 291 = 0?
-97, 1
Solve 6*p**5/11 - 256*p**4/11 + 3032*p**3/11 - 6048*p**2/11 - 4480*p/11 + 12800/11 = 0.
-4/3, 2, 20
Determine o so that o**5/2 + 9*o**4/2 - 165*o**3/2 + 475*o**2/2 = 0.
-19, 0, 5
Factor -3*n**5 - 48*n**4 - 234*n**3 - 336*n**2 - 147*n.
-3*n*(n + 1)**2*(n + 7)**2
Find p, given that 2*p**2 + 38*p/3 - 28/3 = 0.
-7, 2/3
Solve 3*d**3 + 117*d**2 - 660*d = 0.
-44, 0, 5
Factor 4*p**3 + 2724*p**2 + 21600*p + 43072.
4*(p + 4)**2*(p + 673)
Let -3*s**3/5 + 2028*s**2/5 - 4047*s/5 + 2022/5 = 0. Calculate s.
1, 674
Let -7*t**5 + 19*t**4 + 6*t**3 - 28*t**2 - 8*t = 0. What is t?
-1, -2/7, 0, 2
Suppose 3*a**2 - 261*a - 264 = 0. What is a?
-1, 88
Factor 5*y**5 - 45*y**4 + 70*y**3 + 10*y**2 - 75*y + 35.
5*(y - 7)*(y - 1)**3*(y + 1)
Factor -2*a**3/5 - 12*a**2 - 418*a/5 + 96.
-2*(a - 1)*(a + 15)*(a + 16)/5
Factor -n**4/9 + 38*n**3/9 + 40*n**2/9 - 38*n/9 - 13/3.
-(n - 39)*(n - 1)*(n + 1)**2/9
Let 4*q**5 - 4*q**4 - 24*q**3 - 8*q**2 + 20*q + 12 = 0. Calculate q.
-1, 1, 3
Determine c, given that -2*c**5 + 72*c**4 + 160*c**3 - 300*c**2 - 158*c + 228 = 0.
-3, -1, 1, 38
Determine m, given that 2*m**4 - 256*m**3 + 6204*m**2 + 127232*m + 494018 = 0.
-7, 71
Let 12*r**3 - 99*r**2/2 + 6*r = 0. What is r?
0, 1/8, 4
Factor -15*l**2 + 24*l - 9.
-3*(l - 1)*(5*l - 3)
Determine s so that s**2/2 - 3380*s + 5712200 = 0.
3380
Factor -8*x**2/7 - 1850*x/7 - 66.
-2*(x + 231)*(4*x + 1)/7
Determine d, given that 4*d**5/3 - 41*d**4 + 235*d**3 - 1400*d**2/3 + 252*d + 96 = 0.
-1/4, 2, 3, 24
Factor -h**2 - 10*h + 24.
-(h - 2)*(h + 12)
Solve -4*x**2 - 1907*x - 1428 = 0.
-476, -3/4
Suppose 300*k**4 + 15960*k**3 + 18783*k**2 + 3279*k + 156 = 0. What is k?
-52, -1, -1/10
Solve -2*t**5/5 + 5367*t**4/5 + 13427*t**3/5 + 8059*t**2/5 - 537*t - 2686/5 = 0 for t.
-1, 1/2, 2686
Solve -w**4 - 17*w**3 + 583*w**2 + 1853*w + 1254 = 0 for w.
-33, -2, -1, 19
Factor q**4/2 - 5233*q**3/4 + 1141230*q**2 - 332097712*q + 165763712.
(q - 872)**3*(2*q - 1)/4
Suppose -21*f**4/5 - 96*f**3/5 - 39*f**2/5 + 36*f/5 = 0. What is f?
-4, -1, 0, 3/7
Let -2*y**5/11 - 2*y**4/11 + 6*y**3/11 + 10*y**2/11 + 4*y/11 = 0. Calculate y.
-1, 0, 2
Factor 3*a**2 - 825*a - 828.
3*(a - 276)*(a + 1)
Factor -2*c**4 + 116*c**3 - 2032*c**2 + 9100*c + 11250.
-2*(c - 25)**2*(c - 9)*(c + 1)
Solve 2*g**4/7 + 2*g**3 - 6*g**2/7 - 46*g/7 - 4 = 0 for g.
-7, -1, 2
Factor -k**2/4 - 186*k + 745/4.
-(k - 1)*(k + 745)/4
Factor f**2 + 74*f - 231.
(f - 3)*(f + 77)
Find u such that -69*u**2 + 2199*u/2 + 72 = 0.
-3/46, 16
Factor -4*h**3 + 172*h**2 - 1032*h + 864.
-4*(h - 36)*(h - 6)*(h - 1)
Determine r, given that 3*r**2/4 + 27*r/4 + 15 = 0.
-5, -4
Suppose 5*w**2 + 4975*w = 0. Calculate w.
-995, 0
Determine m so that 3*m**5 - 57*m**4 - 192*m**3 - 132*m**2 = 0.
-2, -1, 0, 22
Factor 176*z**3/3 + 40*z**2/3 - 13*z/3 - 1.
(4*z + 1)**2*(11*z - 3)/3
Solve k**4/7 + 24*k**3/7 - 201*k**2/7 + 484*k/7 - 372/7 = 0.
-31, 2, 3
What is j in 27*j**3 + 75*j**2 - 18*j = 0?
-3, 0, 2/9
Find k such that 5*k**4 - 5*k**3 - 15*k**2 + 5*k + 10 = 0.
-1, 1, 2
Find f such that 2*f**4/5 - 124*f**3/5 - 384*f**2/5 - 388*f/5 - 26 = 0.
-1, 65
Let 8*w**3 + 510*w**2 - 648*w + 130 = 0. What is w?
-65, 1/4, 1
Determine k, given that 4*k**3/9 + 1870*k**2/9 + 2798*k/9 + 932/9 = 0.
-466, -1, -1/2
Suppose 4*d**2 + 360*d + 8100 = 0. What is d?
-45
Determine d so that -338000*d**2 + 2600*d - 5 = 0.
1/260
Suppose d**3/4 + 299*d**2/4 + 5550*d - 5625 = 0. What is d?
-150, 1
Suppose 4*y**2/5 - 48*y/5 + 28 = 0. What is y?
5, 7
Suppose -4*u**4/5 - 27*u**3/5 + 43*u**2/5 + 243*u/5 - 63/5 = 0. Calculate u.
-7, -3, 1/4, 3
Factor -3*l**4/4 + 3*l**3/2 + 63*l**2/4 + 27*l/2.
-3*l*(l - 6)*(l + 1)*(l + 3)/4
Suppose j**4/3 - 2*j**3/3 - 4*j**2/3 + 8*j/3 = 0. Calculate j.
-2, 0, 2
Factor -3*o**3/7 + 201*o**2/7 + 1752*o/7 + 3600/7.
-3*(o - 75)*(o + 4)**2/7
Factor k**4/3 - 11*k**3/3 + 10*k**2/3.
k**2*(k - 10)*(k - 1)/3
Factor -3*a**2 - 102*a - 99.
-3*(a + 1)*(a + 33)
Find f, given that 5*f**3 + 370*f**2 + 2925*f - 162000 = 0.
-45, 16
Determine g, given that 3*g**4/2 + 3*g**3/2 - 9*g**2 = 0.
-3, 0, 2
Factor u**3 - 2*u**2/3 - u + 2/3.
(u - 1)*(u + 1)*(3*u - 2)/3
Determine x, given that x**2 - 67*x + 130 = 0.
2, 65
Suppose 3*q**2 + 669*q - 672 = 0. What is q?
-224, 1
Factor -5*j**2 - 550*j + 555.
-5*(j - 1)*(j + 111)
What is y in 6*y**4 + 69*y**3/2 - 9*y**2 = 0?
-6, 0, 1/4
Determine f so that 2*f**4/11 - 2*f**3/11 - 12*f**2/11 = 0.
-2, 0, 3
Factor 10*s**4 - 494*s**3/7 + 4*s**2.
2*s**2*(s - 7)*(35*s - 2)/7
Factor 4*r**3 + 176*r**2 - 364*r + 184.
4*(r - 1)**2*(r + 46)
Factor -35*k**3 - 515*k**2 - 340*k + 140.
-5*(k + 1)*(k + 14)*(7*k - 2)
Find j such that 5*j**3 - 5*j**2 - 1305*j - 7695 = 0.
-9, 19
Solve -5*i**2 + 1450*i - 105125 = 0.
145
Factor 242*l**4/17 + 21384*l**3/17 + 472392*l**2/17.
2*l**2*(11*l + 486)**2/17
Factor p**4/6 + 47*p**3/6 - 49*p**2/6 - 47*p/6 + 8.
(p - 1)**2*(p + 1)*(p + 48)/6
Factor -3*h**3 - 18*h**2 + 75*h - 54.
-3*(h - 2)*(h - 1)*(h + 9)
What is u in -2*u**2/7 - 80*u/7 - 800/7 = 0?
-20
Find d such that 8*d**5/5 - 34*d**4/5 - 16*d**3/5 + 86*d**2/5 + 44*d/5 - 16/5 = 0.
-1, 1/4, 2, 4
Factor -5*w**4 - 735*w**3 - 4290*w**2 - 8500*w - 5640.
-5*(w + 2)**3*(w + 141)
Suppose 5*g**3 - 1550*g**2 + 3085*g - 1540 = 0. What is g?
1, 308
Factor 2*t**5 + 8*t**4 + 4*t**3 - 8*t**2 - 6*t.
2*t*(t - 1)*(t + 1)**2*(t + 3)
Find x such that x**2/3 - 4*x/3 - 7 = 0.
-3, 7
Let n**5 + 29*n**4 + 224*n**3 + 64*n**2 - 3072*n = 0. Calculate n.
-16, -8, 0, 3
Find i, given that 5*i**2 + 200*i - 205 = 0.
-41, 1
Factor -a**3/10 + 3*a**2/10.
-a**2*(a - 3)/10
Solve -3*z**2/2 - 27*z - 48 = 0.
-16, -2
Determine k, given that 77*k**5/3 - 776*k**4/3 + 867*k**3 - 3278*k**2/3 + 1472*k/3 - 32 = 0.
6/77, 1, 4
Factor -15*s**2 + 21280*s + 7095.
-5*(s - 1419)*(3*s + 1)
What is k in k**3/3 - 7*k**2/3 - 17*k/3 - 3 = 0?
-1, 9
Suppose -2*f**5/7 - 6*f**4/7 + 6*f**3/7 + 22*f**2/7 + 12*f/7 = 0. What is f?
-3, -1, 0, 2
Factor -2*m**4 + 4*m**3 + 14*m**2 - 40*m + 24.
-2*(m - 2)**2*(m - 1)*(m + 3)
Factor -n**2/2 + 3*n/2 + 2.
-(n - 4)*(n + 1)/2
Factor 4*x**4 - 56*x**3 - 12*x**2 + 176*x - 112.
4*(x - 14)*(x - 1)**2*(x + 2)
Factor 2*c**2/21 + 172*c/21 + 3698/21.
2*(c + 43)**2/21
Solve x**4 + 7*x**3 + 18*x**2 + 20*x + 8 = 0.
-2, -1
Factor -11*q**5/5 + 34*q**4/5 + 246*q**3/5 + 424*q**2/5 + 301*q/5 + 78/5.
-(q + 1)**4*(11*q - 78)/5
What is v in -94*v**2/5 - 82*v/5 + 12/5 = 0?
-1, 6/47
Factor 2*q**3/19 + 2*q**2/19 - 2*q/19 - 2/19.
2*(q - 1)*(q + 1)**2/19
Find r such that 2*r**3 - 1192*r**2 + 176410*r + 357604 = 0.
-2, 299
Factor 2*h**3 - 212*h**2 + 5618*h.
2*h*(h - 53)**2
Suppose -2*a**5/17 + 2192*a**4/17 - 801536*a**3/17 + 98049220*a**2/17 - 95655550*a/17 - 194508500/17 = 0. Calculate a.
-1, 2, 365
Factor -2*i**2 - 58*i - 108.
-2*(i + 2)*(i + 27)
Factor 2*f**2 - 258*f - 2780.
2*(f - 139)*(f + 10)
Let 2*s**5/19 + 22*s**4/19