- 114*z + 2592.
-3*(z - 16)*(z + 54)
Factor 5*x**3 + 710*x**2 + 2035*x - 6950.
5*(x - 2)*(x + 5)*(x + 139)
Let -25*b**2 - 2265*b + 910 = 0. Calculate b.
-91, 2/5
Factor u**2 + 2549*u - 2550.
(u - 1)*(u + 2550)
Factor -r**2/8 + 185*r/8 - 181/2.
-(r - 181)*(r - 4)/8
Factor -j**2/4 - 439*j/4 - 327.
-(j + 3)*(j + 436)/4
Solve 2*p**2/21 - 100*p/21 - 34/7 = 0.
-1, 51
Factor 6*o**2/11 - 738*o/11.
6*o*(o - 123)/11
Determine g, given that -5*g**5/6 - 5*g**4/3 + 35*g**3/3 - 20*g**2/3 - 65*g/6 + 25/3 = 0.
-5, -1, 1, 2
Find s such that 3*s**5 + 33*s**4 + 78*s**3 + 48*s**2 = 0.
-8, -2, -1, 0
Let -s**4/5 - 501*s**3/5 - 12600*s**2 - 12500*s = 0. Calculate s.
-250, -1, 0
Factor 2*s**3/5 - 246*s**2/5 + 7686*s/5 - 7442/5.
2*(s - 61)**2*(s - 1)/5
Factor -2*f**3 - 18*f**2 - 30*f + 50.
-2*(f - 1)*(f + 5)**2
Factor -3*x**2 - 5256*x - 2302128.
-3*(x + 876)**2
Find n such that -5*n**5 + 1575*n**4 - 198450*n**3 + 12502350*n**2 - 393824025*n + 4962182715 = 0.
63
Factor 2*n**5/5 - 6*n**3/5 + 4*n**2/5.
2*n**2*(n - 1)**2*(n + 2)/5
What is y in 2*y**2 - 252*y + 7938 = 0?
63
Let 7*t**2/6 + 8*t/3 - 5/2 = 0. Calculate t.
-3, 5/7
Factor 4*k**4 - 28*k**3 + 56*k**2 - 32*k.
4*k*(k - 4)*(k - 2)*(k - 1)
Solve -18*z**3 - 770*z**2 - 5336*z + 1224 = 0 for z.
-34, -9, 2/9
Find n such that -4*n**2 - 112*n - 784 = 0.
-14
Let -m**5/4 - 19*m**4/4 - 79*m**3/4 + 119*m**2/4 + 20*m - 25 = 0. Calculate m.
-10, -1, 1
Factor 2*j**3/13 + 492*j**2/13 + 40344*j/13 + 1102736/13.
2*(j + 82)**3/13
Factor t**2 + 19*t + 18.
(t + 1)*(t + 18)
Factor 2*n**4/7 - 22*n**3/7 - 50*n**2/7 - 26*n/7.
2*n*(n - 13)*(n + 1)**2/7
Solve -3*s**3 + 27*s**2 - 60*s = 0 for s.
0, 4, 5
Find o such that 5*o**5 + 75*o**4 - 255*o**3 + 265*o**2 - 90*o = 0.
-18, 0, 1
Find j, given that -2*j**5/19 - 32*j**4/19 - 188*j**3/19 - 480*j**2/19 - 450*j/19 = 0.
-5, -3, 0
Determine d so that 2*d**2/5 - 2*d/5 - 12/5 = 0.
-2, 3
Factor 2*h**2/9 + 8*h/3 - 266/9.
2*(h - 7)*(h + 19)/9
What is s in s**2/4 - 55*s/2 + 3025/4 = 0?
55
Factor 21*h**3 - 27*h**2.
3*h**2*(7*h - 9)
Suppose -3*u**5/7 + 24*u**4/7 + 39*u**3/7 - 96*u**2/7 - 108*u/7 = 0. What is u?
-2, -1, 0, 2, 9
Solve 578*a**2 + 30600*a + 405000 = 0.
-450/17
Factor 4*f**3 - 2788*f**2 - 4*f + 2788.
4*(f - 697)*(f - 1)*(f + 1)
Determine n so that 4*n**3 + 16*n**2 - 180*n = 0.
-9, 0, 5
Let -51*c**5/7 + 206*c**4/7 - 263*c**3/7 + 16*c**2 - 4*c/7 = 0. Calculate c.
0, 2/51, 1, 2
Factor 5*a**2 + 10*a - 75.
5*(a - 3)*(a + 5)
Factor u**2/2 - 3602*u + 6487202.
(u - 3602)**2/2
Factor -2*r**4/3 + 3532*r**3/3 - 695008*r**2 + 414861076*r/3 - 2022620030/3.
-2*(r - 587)**3*(r - 5)/3
Factor 2*w**4 - 8*w**3 - 2*w**2 + 8*w.
2*w*(w - 4)*(w - 1)*(w + 1)
Factor 4*k**2 - 56*k - 60.
4*(k - 15)*(k + 1)
Solve -22*w**3 - 158*w**2 + 180*w = 0 for w.
-90/11, 0, 1
Let -11*q**2 + 67*q - 60 = 0. What is q?
12/11, 5
Factor -3*r**2 + 11772*r - 11548332.
-3*(r - 1962)**2
Factor b**5/4 - 9*b**4/4 + 9*b**3/2 + 8*b**2 - 24*b.
b*(b - 4)**2*(b - 3)*(b + 2)/4
Solve 2*l**4/3 + 2*l**3/3 - 2*l**2 - 2*l/3 + 4/3 = 0 for l.
-2, -1, 1
Factor 4*c**2 - 456*c - 928.
4*(c - 116)*(c + 2)
Factor -5*i**2 - 115*i - 600.
-5*(i + 8)*(i + 15)
Factor -2*a**3 + 5*a**2 + 3*a.
-a*(a - 3)*(2*a + 1)
Factor -n**3 + 30*n**2 - 252*n + 392.
-(n - 14)**2*(n - 2)
Determine y so that 5*y**4 + 130*y**3 + 920*y**2 + 480*y - 5760 = 0.
-12, -4, 2
Suppose -2*y**2/7 + 18*y = 0. What is y?
0, 63
Find t such that -5*t**4 - 70*t**3 + 975*t**2 + 2140*t + 1100 = 0.
-22, -1, 10
Suppose -w**2 + 268*w - 17956 = 0. What is w?
134
Solve u**3/5 - 19*u**2/5 + 44*u/5 + 64/5 = 0.
-1, 4, 16
Let -3*d**3/4 + 129*d**2/4 - 390*d + 900 = 0. Calculate d.
3, 20
Factor -2*c**4/9 - 8*c**3/9 - 2*c**2/3.
-2*c**2*(c + 1)*(c + 3)/9
Suppose -q**4/4 - 99*q**3/2 - 147*q**2 - 293*q/2 - 195/4 = 0. What is q?
-195, -1
Find t, given that 9*t**5 - 6*t**4 - 75*t**3 + 84*t**2 + 36*t = 0.
-3, -1/3, 0, 2
Factor 3*n**5 + 15*n**4 - 78*n**3 - 294*n**2 - 309*n - 105.
3*(n - 5)*(n + 1)**3*(n + 7)
Determine n, given that 4*n**5/3 + 4*n**4 - 52*n**3/3 - 44*n**2/3 + 32*n + 80/3 = 0.
-5, -1, 2
Factor p**4/5 + 102*p**3/5 + 96*p**2/5 - 502*p/5 + 303/5.
(p - 1)**2*(p + 3)*(p + 101)/5
Factor p**2/6 + 34*p/3 + 67/6.
(p + 1)*(p + 67)/6
Solve 18*x**5 + 293*x**4 - 1704*x**3 + 1741*x**2 + 828*x - 252 = 0 for x.
-21, -1/2, 2/9, 2, 3
Suppose 2*c**5/17 + 8*c**4/17 + 4*c**3/17 - 8*c**2/17 - 6*c/17 = 0. What is c?
-3, -1, 0, 1
Factor -3*r**3 + 4*r**2 - 4*r/3.
-r*(3*r - 2)**2/3
Find o, given that -o**3 + 7*o**2 + 24*o - 180 = 0.
-5, 6
Let -5*r**3 - 32615*r**2 - 53203215*r - 53170605 = 0. Calculate r.
-3261, -1
Find l, given that 2*l**4 + 14*l**3 + 30*l**2 + 26*l + 8 = 0.
-4, -1
Factor -2*c**5/5 + 34*c**4/5 - 112*c**3/5 + 104*c**2/5.
-2*c**2*(c - 13)*(c - 2)**2/5
What is b in 4*b**2 + 3356*b - 6728 = 0?
-841, 2
Let 5*c**2 - 1170*c + 68445 = 0. Calculate c.
117
Determine h, given that -22*h**3/5 - 356*h**2/5 - 1472*h/5 - 256/5 = 0.
-8, -2/11
Factor h**2 + 62*h + 957.
(h + 29)*(h + 33)
What is g in 27*g**4 - 291*g**3 + 204*g**2 + 60*g = 0?
-2/9, 0, 1, 10
Determine w so that w**3 - 24*w**2 + 93*w/4 - 23/4 = 0.
1/2, 23
Determine b, given that -2*b**5 + 114*b**4 + 124*b**3 - 456*b**2 - 464*b = 0.
-2, -1, 0, 2, 58
Factor -2*g**3 - 6*g**2 + 210*g - 650.
-2*(g - 5)**2*(g + 13)
Let i**5 - 11*i**4 + 24*i**3 + 44*i**2 - 112*i = 0. Calculate i.
-2, 0, 2, 4, 7
Factor 6936*n**3/7 - 646*n**2 + 776*n/7 - 40/7.
2*(12*n - 5)*(17*n - 2)**2/7
Suppose x**5 - x**4 - 17*x**3 + 53*x**2 - 56*x + 20 = 0. Calculate x.
-5, 1, 2
Determine g so that -g**3 + g**2 + 2*g = 0.
-1, 0, 2
Factor -y**2/5 - 127*y/5 + 128/5.
-(y - 1)*(y + 128)/5
Factor m**4/5 - m**3/5 - 3*m**2/5 + m - 2/5.
(m - 1)**3*(m + 2)/5
Factor -q**4/5 + 9*q**2/5 - 4*q/5 - 12/5.
-(q - 2)**2*(q + 1)*(q + 3)/5
Find a such that 2*a**2 - 972*a + 970 = 0.
1, 485
Factor -5*x**3 + 795*x**2 - 1575*x + 785.
-5*(x - 157)*(x - 1)**2
Factor -v**4 - 2*v**3 + 3*v**2 + 4*v - 4.
-(v - 1)**2*(v + 2)**2
Solve -2*b**4/3 + 58*b**3/3 - 386*b**2/3 - 190*b + 300 = 0.
-2, 1, 15
Factor 5*y**5 - 30*y**4 + 40*y**3 + 30*y**2 - 45*y.
5*y*(y - 3)**2*(y - 1)*(y + 1)
Factor -2*s**3/5 + 456*s**2/5 + 918*s/5 + 92.
-2*(s - 230)*(s + 1)**2/5
Factor z**2/2 + 3*z/2 + 1.
(z + 1)*(z + 2)/2
Factor -3*p**2 + 384*p.
-3*p*(p - 128)
Suppose 3*w**2 - 93*w = 0. Calculate w.
0, 31
Factor 5*s**4 + 100*s**3 - 335*s**2 + 230*s.
5*s*(s - 2)*(s - 1)*(s + 23)
Suppose -5*w**3 + 21265*w**2 - 22599375*w - 22620645 = 0. Calculate w.
-1, 2127
Determine r so that -2*r**2/5 + 118*r/5 + 24 = 0.
-1, 60
Determine x so that -3*x**5 + 12*x**4 + 18*x**3 - 108*x**2 + 81*x = 0.
-3, 0, 1, 3
Factor -142*b**2/7 + 108*b/7.
-2*b*(71*b - 54)/7
Factor 273*d**3 - 549*d**2 + 279*d - 3.
3*(d - 1)**2*(91*d - 1)
What is s in 2*s**2/15 - 6056*s/15 + 4584392/15 = 0?
1514
Factor -2*b**4 - 2400*b**3 - 717594*b**2 + 1444804*b.
-2*b*(b - 2)*(b + 601)**2
Factor -m**2/6 + 35*m/6 - 46.
-(m - 23)*(m - 12)/6
Let -2*g**2/5 + 448*g/5 + 1824/5 = 0. Calculate g.
-4, 228
Suppose 2*t**4/3 - 4*t**3/3 - 2*t**2 = 0. What is t?
-1, 0, 3
Factor -4*x**3 + 52*x**2 + 16*x - 208.
-4*(x - 13)*(x - 2)*(x + 2)
Factor 4*g**5 + 28*g**4 + 40*g**3 - 8*g**2 - 44*g - 20.
4*(g - 1)*(g + 1)**3*(g + 5)
Factor -5*l**4 + 1805*l**3 - 1800*l**2.
-5*l**2*(l - 360)*(l - 1)
Find t such that -9*t**3/5 - 12*t**2/5 + 84*t/5 - 48/5 = 0.
-4, 2/3, 2
Factor -c**3 + 198*c**2 - 9801*c.
-c*(c - 99)**2
Let -2*t**3 + 10*t**2 = 0. Calculate t.
0, 5
Determine x so that -8*x**5/3 - 2122*x**4/3 - 6842*x**3/3 - 7874*x**2/3 - 3670*x/3 - 524/3 = 0.
-262, -1, -1/4
Solve 3*s**5 - 12*s**4 + 12*s**3 + 6*s**2 - 15*s + 6 = 0.
-1, 1, 2
Suppose 5*l**3 + 17*l**2 - l - 21 = 0. What is l?
-3, -7/5, 1
Factor 3*r**2 - 228*r - 231.
3*(r - 77)*(r + 1)
Determine d so that d**2/4 - 46*d - 185/4 = 0.
-1, 185
Factor -3*d**4 + 183*d**3 - 2646*d**2 + 14580*d - 27864.
-3*(d - 43)*(d - 6)**3
Factor -5*f**2 - 4270*f - 911645.
-5*(f + 427)**2
Find j such that -12*j**5 - 15*j**4 + 69*j**3 + 18*j**2 = 0.
-3, -1/4, 0, 2
Factor -5*w**4/2 - 20*w**3 - 105*w**2/2 - 45*w.
-5*w*(w + 2)*(w + 3)**2/2
Factor -2*k**2/3 + 40*k/3 - 24.
-2*(k - 18)*(k - 2)/3
Let -21*i**5/4 - 81*i**4/4 + 411*i**3/4 - 351*i**2/4 + 21*i/2 = 0. What is i?
-7, 0, 1/7, 1, 2
Factor -4*z**3 + 96*z**2 - 180*z + 88.
-4*(z - 22)*(z - 1)**2
Let -5*f**4 - 65*f**3 - 240*f**2 - 340*f - 160 = 0. What is f?
-8,