/15 + 44*c**2/15 + 16*c/3 = 0.
-20, -2, 0
What is g in 6*g**4 + 399*g**3/2 + 4311*g**2/2 + 15633*g/2 + 3645/2 = 0?
-15, -9, -1/4
Factor 2*x**3 + 206*x**2 + 1056*x - 252648.
2*(x - 29)*(x + 66)**2
Let 2*j**5 + 86*j**4 - 100*j**3 - 520*j**2 + 368*j + 704 = 0. What is j?
-44, -2, -1, 2
Factor z**3/2 - z**2 - z/2 + 1.
(z - 2)*(z - 1)*(z + 1)/2
Let 2*q**3/11 - 6*q**2/11 - 144*q/11 + 648/11 = 0. What is q?
-9, 6
Find n such that 3*n**5/2 + 15*n**4 + 18*n**3 - 177*n**2 - 615*n/2 + 450 = 0.
-5, -4, 1, 3
Determine z, given that -z**5/3 + 5*z**4 - 67*z**3/3 + 43*z**2 - 112*z/3 + 12 = 0.
1, 2, 9
Factor 8*i**3 - 30*i**2 - 104*i - 24.
2*(i - 6)*(i + 2)*(4*i + 1)
Factor 4*q**5 + 8*q**4 - 20*q**3 - 24*q**2.
4*q**2*(q - 2)*(q + 1)*(q + 3)
Factor -v**2/2 + 11*v + 204.
-(v - 34)*(v + 12)/2
Let 3*c**3/2 - 183*c**2/2 + 936*c - 2646 = 0. Calculate c.
6, 49
Factor k**3/3 - 9*k**2 + 77*k - 605/3.
(k - 11)**2*(k - 5)/3
Find i, given that 5*i**4 + 5*i**3 - 40*i**2 - 60*i = 0.
-2, 0, 3
Factor 14*c**4 - 228*c**3 + 1240*c**2 - 2352*c + 576.
2*(c - 6)**2*(c - 4)*(7*c - 2)
Factor 3*x**3 + 6*x**2 - 15*x - 18.
3*(x - 2)*(x + 1)*(x + 3)
Suppose -4*f**2 + 1852*f - 1848 = 0. What is f?
1, 462
Factor 4*a**4 + 332*a**3 + 7052*a**2 + 6724*a.
4*a*(a + 1)*(a + 41)**2
Solve -j**2/4 - 12*j - 47/4 = 0 for j.
-47, -1
Solve -4*i**4/3 + 308*i**3/3 - 100*i**2 - 308*i/3 + 304/3 = 0 for i.
-1, 1, 76
Find z, given that 4*z**3 - 15276*z**2 + 19446348*z - 8251733668 = 0.
1273
Solve -h**4 + 68*h**3 + 283*h**2 + 358*h + 144 = 0.
-2, -1, 72
Suppose 2*g**4/3 - 74*g**3/3 - 2*g**2/3 + 74*g/3 = 0. What is g?
-1, 0, 1, 37
Factor t**4/4 - 2*t**3 + 5*t**2/4 + 25*t/2.
t*(t - 5)**2*(t + 2)/4
Determine h, given that -36*h**3 - 188*h**2 + 176*h + 48 = 0.
-6, -2/9, 1
Let -5*j**2 + 10*j = 0. Calculate j.
0, 2
Find m such that -33*m**2 + 6*m + 120 = 0.
-20/11, 2
Suppose -3*y**2 + 1242*y - 1239 = 0. What is y?
1, 413
Factor 3*f**2 + 300*f/7 + 12.
3*(f + 14)*(7*f + 2)/7
Factor 4*v**3 + 76*v**2 + 396*v + 324.
4*(v + 1)*(v + 9)**2
Factor 2*w**3/11 + 514*w**2/11 + 32766*w/11 - 33282/11.
2*(w - 1)*(w + 129)**2/11
Let 2*f**5/3 + 1540*f**4/3 + 474320*f**3/3 + 73045280*f**2/3 + 5624486560*f/3 + 173234186048/3 = 0. What is f?
-154
Find x such that 18*x**5 + 248*x**4 + 178*x**3 - 4588*x**2 + 6840*x - 1296 = 0.
-9, 2/9, 2
Suppose -225*s**3/7 + 681*s**2/7 + 126*s - 24/7 = 0. What is s?
-1, 2/75, 4
Determine a so that -20*a**4 - 215*a**3 + 1195*a**2 - 1185*a + 225 = 0.
-15, 1/4, 1, 3
Find o such that o**5/6 - o**4/3 - 7*o**3/3 - 4*o**2/3 + 13*o/6 + 5/3 = 0.
-2, -1, 1, 5
Factor -4*b**4 - 116*b**3 + 668*b**2 - 444*b - 1224.
-4*(b - 3)**2*(b + 1)*(b + 34)
Factor -5*i**2 + 350*i - 680.
-5*(i - 68)*(i - 2)
Suppose -3*u**2 - 627*u - 624 = 0. Calculate u.
-208, -1
Find k such that -2*k**3 + 2646*k**2 = 0.
0, 1323
Factor j**4/6 - j**3/6 - 7*j**2 - 16*j/3 + 112/3.
(j - 7)*(j - 2)*(j + 4)**2/6
Factor -2*v**3/5 - 12*v**2/5 + 32*v/5.
-2*v*(v - 2)*(v + 8)/5
Solve j**4/3 + 26*j**3 - 80*j**2 + 242*j/3 - 27 = 0 for j.
-81, 1
Suppose -u**2/10 - 13*u/5 - 24/5 = 0. What is u?
-24, -2
Factor 3*b**5 + 48*b**4 + 237*b**3 + 468*b**2 + 324*b.
3*b*(b + 2)**2*(b + 3)*(b + 9)
Factor 2*j**2 - 88*j - 90.
2*(j - 45)*(j + 1)
Factor -n**2 - 24*n + 25.
-(n - 1)*(n + 25)
Factor -15*i**4 + 35*i**3 + 110*i**2 - 40*i.
-5*i*(i - 4)*(i + 2)*(3*i - 1)
Determine k so that 4*k**3/5 - 7*k**2/5 - 14*k/5 - 3/5 = 0.
-1, -1/4, 3
Suppose 5*q**3 + 55*q**2 - 1560*q = 0. Calculate q.
-24, 0, 13
Factor 3*d**4/5 + 36*d**3/5 - 3*d**2/5 - 36*d/5.
3*d*(d - 1)*(d + 1)*(d + 12)/5
Suppose 5*r**2 - 490*r - 5995 = 0. What is r?
-11, 109
Find x, given that -4*x**4 - 33*x**3 - 76*x**2 - 57*x - 10 = 0.
-5, -2, -1, -1/4
Solve 4*v**4/3 - 196*v**3/3 + 612*v**2 + 4860*v = 0 for v.
-5, 0, 27
Factor -n**5/4 - 5*n**4 - 145*n**3/4 - 225*n**2/2 - 135*n - 54.
-(n + 1)**2*(n + 6)**3/4
Factor -3*g**4 - 45*g**3 + 279*g**2 - 411*g + 180.
-3*(g - 3)*(g - 1)**2*(g + 20)
Let -10*s**4 - 27*s**3 - 10*s**2 + 9*s + 2 = 0. Calculate s.
-2, -1, -1/5, 1/2
Determine g, given that -g**4/3 + 3*g**2 = 0.
-3, 0, 3
Factor 2*b**3/11 + 14*b**2/11 - 16*b/11.
2*b*(b - 1)*(b + 8)/11
Find v, given that v**5/5 + 22*v**4/5 + 96*v**3/5 - 288*v**2/5 = 0.
-12, 0, 2
Factor -w**4/4 + 13*w**3/4 - 15*w**2 + 28*w - 16.
-(w - 4)**3*(w - 1)/4
Factor -r**3 + 45*r**2 - 42*r - 88.
-(r - 44)*(r - 2)*(r + 1)
Factor -5*x**2 - 2300*x - 264500.
-5*(x + 230)**2
Find i such that -2*i**3 - 356*i**2 - 704*i = 0.
-176, -2, 0
Let v**2/5 + 175*v - 3516/5 = 0. What is v?
-879, 4
Let 12*t**5 - 1228*t**4 + 388*t**3 + 2044*t**2 - 400*t - 816 = 0. Calculate t.
-1, -2/3, 1, 102
Factor 5*k**5 + 5*k**4 - 160*k**3 - 680*k**2 - 1040*k - 560.
5*(k - 7)*(k + 2)**4
Factor -b**4/3 - 4*b**3/3 + 5*b**2/3 + 12*b + 12.
-(b - 3)*(b + 2)**2*(b + 3)/3
Let b**4/5 - 131*b**3/5 + 4083*b**2/5 + 14003*b/5 - 17956/5 = 0. What is b?
-4, 1, 67
Factor -2*s**2/7 + 1934*s/7 - 276.
-2*(s - 966)*(s - 1)/7
Let 2*d**3 + 286*d**2 + 10080*d - 10368 = 0. What is d?
-72, 1
Suppose -3*z**4/4 - 18*z**3 - 297*z**2/2 - 486*z - 2187/4 = 0. Calculate z.
-9, -3
Find l such that -l**3/3 - 3*l**2 - 2*l/3 + 16 = 0.
-8, -3, 2
Factor -i**2/4 + 3997*i/2 - 15976009/4.
-(i - 3997)**2/4
Determine k so that 3021*k**3 - 2646*k**2 - 369*k - 6 = 0.
-2/19, -1/53, 1
Factor -3*c**3/2 - 189*c**2/2 - 3969*c/2 - 27783/2.
-3*(c + 21)**3/2
Let 3*g**2/4 + 5973*g + 11892243 = 0. What is g?
-3982
Find g, given that 21*g**3 - 127*g**2 + 4*g + 12 = 0.
-2/7, 1/3, 6
Solve 5*b**2 - 110*b + 600 = 0 for b.
10, 12
What is t in 27*t**5/2 + 477*t**4/2 - 903*t**3 + 870*t**2 - 252*t = 0?
-21, 0, 2/3, 2
Find k such that k**5 + 263*k**4 + 16891*k**3 - 53063*k**2 + 1064*k + 70756 = 0.
-133, -1, 2
Factor -2*o**2 - 326*o + 660.
-2*(o - 2)*(o + 165)
Factor 2*h**4 + 54*h**3 + 150*h**2 + 146*h + 48.
2*(h + 1)**3*(h + 24)
Suppose -35*j**2 + 45*j - 10 = 0. Calculate j.
2/7, 1
Find o, given that -2*o**4 + 18*o**3 + 8*o**2 - 72*o = 0.
-2, 0, 2, 9
Find n, given that 2*n**3 - 170*n**2 + 3526*n + 3698 = 0.
-1, 43
Let p**3/7 - 155*p**2/7 + 5248*p/7 + 60516/7 = 0. Calculate p.
-9, 82
Suppose 3*p**2/2 - 633*p + 133563/2 = 0. Calculate p.
211
Let -c**2/4 - 2675*c/2 - 7155625/4 = 0. Calculate c.
-2675
Determine j, given that j**3 - 234*j**2 - 1920*j - 3872 = 0.
-4, 242
Determine a, given that a**3/5 + 6*a**2/5 - a/5 - 6/5 = 0.
-6, -1, 1
Suppose -4*s**5 - 152*s**4 + 2636*s**3 - 13792*s**2 + 28720*s - 20800 = 0. What is s?
-52, 2, 5
Determine h, given that h**2/6 + 44*h/3 + 968/3 = 0.
-44
Determine p, given that p**5/2 - 3*p**4 - 2*p**3 + 17*p**2 + 51*p/2 + 10 = 0.
-1, 4, 5
Solve a**2/3 + 2356*a + 4163052 = 0 for a.
-3534
Find o, given that 3*o**3/2 - 9*o**2/2 + 6 = 0.
-1, 2
Factor 5*z**3 - 85*z**2 + 70*z + 160.
5*(z - 16)*(z - 2)*(z + 1)
Find n such that n**2 + 13*n + 12 = 0.
-12, -1
Factor 6050*a**2 + 220*a + 2.
2*(55*a + 1)**2
Factor 15*v**4/7 - 57*v**3/7 - 12*v**2/7.
3*v**2*(v - 4)*(5*v + 1)/7
Let -2*v**5 - 60*v**4 - 196*v**3 + 320*v**2 + 198*v - 260 = 0. Calculate v.
-26, -5, -1, 1
Factor -g**2/2 + 9*g/2 + 5.
-(g - 10)*(g + 1)/2
Find t such that 5*t**4 + 55*t**3 - 370*t**2 + 480*t = 0.
-16, 0, 2, 3
Determine s, given that s**5/11 + 6*s**4/11 + 8*s**3/11 - 16*s**2/11 - 48*s/11 - 32/11 = 0.
-2, 2
Factor -3*y**4/4 - 81*y**3/2 - 2343*y**2/4 - 1053*y - 507.
-3*(y + 1)**2*(y + 26)**2/4
Determine u, given that -9*u**5 - 348*u**4 - 3474*u**3 - 2052*u**2 + 1083*u = 0.
-19, -1, 0, 1/3
Solve 3*a**3 - 96*a**2 - 3072*a + 98304 = 0.
-32, 32
Factor 2*y**2/7 + 258*y/7 - 4320/7.
2*(y - 15)*(y + 144)/7
Determine g so that -2*g**2/9 + 140*g/9 = 0.
0, 70
Determine m, given that -m**5 - 112*m**4 - 1405*m**3 + 104878*m**2 - 205088*m + 101728 = 0.
-68, 1, 22
Factor 25*n**5/2 + 5*n**4/2 - 10*n**3.
5*n**3*(n + 1)*(5*n - 4)/2
What is n in -4*n**3 + 6*n**2 + 10*n - 12 = 0?
-3/2, 1, 2
Factor -5*g**4 + 50*g**3 - 65*g**2 - 120*g.
-5*g*(g - 8)*(g - 3)*(g + 1)
Determine v so that -v**3/5 + v**2 + v/5 - 1 = 0.
-1, 1, 5
Find f, given that -2*f**3/5 + 24*f**2/5 + 2*f/5 - 24/5 = 0.
-1, 1, 12
What is a in 2*a**3/5 + 8*a**2/5 - 2*a/5 - 8/5 = 0?
-4, -1, 1
Let r**2/3 + 28*r + 539/3 = 0. What is r?
-77, -7
Suppose 3*h**3 + 102*h**2 + 249*h - 930 = 0. Calculate h.
-31, -5, 2
Find u such that 2*u**2/9 - 28*u/9 - 10/3 = 0.
-1, 15
Suppose k**4/2 + 13*k**3/2 - 105*k**2/2 + 167*k/2 - 38 =