n**3/6 - 23*n**2.
-n**2*(n - 46)*(n - 3)/6
Factor -w**3/10 - 3*w**2/2 - 6*w/5 + 14/5.
-(w - 1)*(w + 2)*(w + 14)/10
Suppose -u**5/2 - 2*u**4 - u**3 + 2*u**2 + 3*u/2 = 0. Calculate u.
-3, -1, 0, 1
Let 11*v**2/2 + 9*v/2 - 1 = 0. What is v?
-1, 2/11
Factor g**3 + 241*g**2 - 730*g + 488.
(g - 2)*(g - 1)*(g + 244)
Let -u**2/4 - 155*u/4 + 567/2 = 0. What is u?
-162, 7
What is y in -3*y**2 - 438*y - 1287 = 0?
-143, -3
Solve 4*a**3 - 216*a**2 + 3888*a - 23328 = 0 for a.
18
Solve q**3/3 + 16*q**2 - 17*q - 98/3 = 0.
-49, -1, 2
Factor -84*k**3 - 71*k**2 + 15*k + 2.
-(k + 1)*(4*k - 1)*(21*k + 2)
Factor -u**2/5 + 2*u/5 - 1/5.
-(u - 1)**2/5
Suppose q**5/3 - 32*q**4/3 + 215*q**3/3 - 580*q**2/3 + 228*q - 96 = 0. Calculate q.
1, 2, 3, 24
Find m such that -30*m**4 - 55*m**3 + 10*m**2 = 0.
-2, 0, 1/6
What is f in f**2/6 + 13*f + 77/6 = 0?
-77, -1
Solve 2*n**3/7 + 288*n**2/7 + 10368*n/7 = 0 for n.
-72, 0
Solve -2*n**3 - 96*n**2/7 + 18*n - 16/7 = 0.
-8, 1/7, 1
Let z**5/4 + z**4 - 5*z**3/4 = 0. What is z?
-5, 0, 1
Factor -c**3/7 - 124*c**2/7 + 645*c/7.
-c*(c - 5)*(c + 129)/7
Factor -5*a**3/3 - 11*a**2/3 + 13*a/3 + 1.
-(a - 1)*(a + 3)*(5*a + 1)/3
Let 4*o**3 + 80*o**2 + 396*o = 0. Calculate o.
-11, -9, 0
Factor o**3/4 - 7*o**2/4 + 7*o/2 - 2.
(o - 4)*(o - 2)*(o - 1)/4
Factor -o**3/4 + 9*o**2/4 - 6*o + 5.
-(o - 5)*(o - 2)**2/4
Factor -4*b**3 + 40*b**2 - 28*b - 72.
-4*(b - 9)*(b - 2)*(b + 1)
Find h such that -2*h**5 - 32*h**4 - 180*h**3 - 432*h**2 - 378*h = 0.
-7, -3, 0
Let 5*q**5/6 + q**4 - 5*q**3/3 - 2*q**2 + 5*q/6 + 1 = 0. What is q?
-6/5, -1, 1
Factor 2015*o**2 - 18125*o - 90.
5*(o - 9)*(403*o + 2)
Determine g so that 4*g**3 - 100*g**2 - 104*g = 0.
-1, 0, 26
Factor c**2 + 980*c + 240100.
(c + 490)**2
Suppose 33*v**2/7 - 3*v - 12/7 = 0. What is v?
-4/11, 1
Determine c so that -3*c**2 + 12*c + 96 = 0.
-4, 8
Find o such that o**5/4 + 7*o**4/4 + 7*o**3/2 + o**2/2 - 15*o/4 - 9/4 = 0.
-3, -1, 1
Suppose 2916*s**5 - 31104*s**4 + 92772*s**3 - 52952*s**2 + 11120*s - 800 = 0. What is s?
2/9, 5
Suppose -u**5/7 - u**4 - 3*u**3/7 + 19*u**2/7 + 4*u/7 - 12/7 = 0. Calculate u.
-6, -2, -1, 1
Let -2*a**2/7 - 68*a/7 - 578/7 = 0. Calculate a.
-17
Factor -5*c**4 - 110*c**3 - 540*c**2 - 1000*c - 640.
-5*(c + 2)**3*(c + 16)
Factor -4*q**5 - 140*q**4 - 636*q**3 - 1108*q**2 - 848*q - 240.
-4*(q + 1)**3*(q + 2)*(q + 30)
Factor -225*h**4/2 + 285*h**3/2 - 32*h**2 + 2*h.
-h*(h - 1)*(15*h - 2)**2/2
Determine u, given that -3*u**5 + 57*u**4 - 288*u**3 - 156*u**2 + 2496*u + 2304 = 0.
-2, -1, 6, 8
Determine w, given that -w**3/6 - 33*w**2/2 + 68*w - 206/3 = 0.
-103, 2
Determine x, given that 4*x**5/5 - 16*x**4/5 + 16*x**3/5 + 8*x**2/5 - 4*x + 8/5 = 0.
-1, 1, 2
Factor 2*m**3/11 - 6*m**2/11 - 2*m/11 + 6/11.
2*(m - 3)*(m - 1)*(m + 1)/11
Find b such that -6*b**3 + 27*b**2 + 6*b - 72 = 0.
-3/2, 2, 4
Determine k, given that -3*k**4 - 30*k**3 - 84*k**2 - 18*k + 135 = 0.
-5, -3, 1
Solve -2*n**4/3 + 14*n**3 + 380*n**2/3 + 112*n = 0.
-6, -1, 0, 28
Factor 3*b**4 - 72*b**3 + 309*b**2 - 468*b + 228.
3*(b - 19)*(b - 2)**2*(b - 1)
Factor 5*s**3 + 20*s**2 - 60*s.
5*s*(s - 2)*(s + 6)
Factor n**4/3 + 4*n**3/3 - 19*n**2/3 + 14*n/3.
n*(n - 2)*(n - 1)*(n + 7)/3
Let -6*j**4 + 20*j**3 - 8*j**2 - 16*j = 0. Calculate j.
-2/3, 0, 2
Factor 3*j**3/2 + 573*j**2/2 + 285*j.
3*j*(j + 1)*(j + 190)/2
Suppose -2*y**2/17 - 32*y/17 = 0. Calculate y.
-16, 0
Let 4*p**2/5 + 2424*p/5 = 0. Calculate p.
-606, 0
Find w such that -10*w**4/7 - 16*w**3/7 + 26*w**2/7 = 0.
-13/5, 0, 1
Factor l**2/4 - 25*l.
l*(l - 100)/4
Factor 2*q**2 + 4*q + 2.
2*(q + 1)**2
Suppose x**2 + 33*x + 272 = 0. What is x?
-17, -16
Factor t**3 - 28*t**2 + 221*t - 338.
(t - 13)**2*(t - 2)
Factor -2*m**4 - 32*m**3 + 878*m**2 - 1612*m.
-2*m*(m - 13)*(m - 2)*(m + 31)
Let -5*t**2 + 210*t + 1175 = 0. Calculate t.
-5, 47
Solve 2*i**3/13 - 122*i**2/13 + 464*i/13 - 456/13 = 0.
2, 57
Factor a**5 - 7*a**4 + 10*a**3 + 18*a**2 - 27*a - 27.
(a - 3)**3*(a + 1)**2
Solve 147*o**5 - 1827*o**4 + 4065*o**3 + 9987*o**2 + 4536*o + 588 = 0.
-1, -2/7, 7
Factor -3*j**2 - 18*j.
-3*j*(j + 6)
Factor 5*x**2 - 390*x + 7605.
5*(x - 39)**2
Factor 3*n**2/2 + 81*n/2 - 42.
3*(n - 1)*(n + 28)/2
Let -4*m**2 - 1936*m - 234256 = 0. What is m?
-242
Factor 3*b**4 - 895*b**3 - 1499*b**2 - 301*b + 300.
(b - 300)*(b + 1)**2*(3*b - 1)
Factor 3*a**4 + 132*a**3 + 2178*a**2 + 15972*a + 43923.
3*(a + 11)**4
Factor 4*d**3 + 28*d**2 - 72*d.
4*d*(d - 2)*(d + 9)
Find i, given that -2*i**2/9 - 1640*i/9 - 336200/9 = 0.
-410
Solve k**4 + 9*k**3 - k**2 - 9*k = 0 for k.
-9, -1, 0, 1
Factor -x**4/4 - 79*x**3/2 - 2142*x**2 - 85833*x/2 - 663255/4.
-(x + 5)*(x + 51)**3/4
Find w, given that 14*w**2 - 4812*w - 1376 = 0.
-2/7, 344
Let 4*a**3 + 196*a**2 + 1200*a + 1008 = 0. What is a?
-42, -6, -1
Factor z**4/8 - 57*z**3/8 + 105*z**2 - 98*z.
z*(z - 28)**2*(z - 1)/8
What is i in -14*i**2/9 + 4414*i/9 - 140 = 0?
2/7, 315
Factor -3*i**2 - 1452*i - 175692.
-3*(i + 242)**2
Find h, given that 5*h**3/3 - 10*h**2/3 - 25*h/3 + 10 = 0.
-2, 1, 3
Solve -2*j**2 + 32*j + 34 = 0.
-1, 17
Factor 2*b**5 + 14*b**4 + 24*b**3 - 8*b**2 - 32*b.
2*b*(b - 1)*(b + 2)**2*(b + 4)
Find z such that 8*z**4 - 14*z**3 - 12*z**2 + 14*z + 4 = 0.
-1, -1/4, 1, 2
Suppose 2*o**5/5 - 12*o**4 + 382*o**3/5 + 1084*o**2/5 - 384*o/5 - 1024/5 = 0. Calculate o.
-2, -1, 1, 16
Factor -3*z**2 - 5208*z - 2260272.
-3*(z + 868)**2
Let -2*r**4/3 - 8*r**3 + 480*r**2 - 3456*r = 0. What is r?
-36, 0, 12
Factor 5*r**5 + 10*r**4 - 10*r**2 - 5*r.
5*r*(r - 1)*(r + 1)**3
Factor n**3 - 3*n**2.
n**2*(n - 3)
Factor -x**2/4 - 165*x - 659/4.
-(x + 1)*(x + 659)/4
Let 2*n**4/11 + 30*n**3/11 + 144*n**2/11 + 280*n/11 + 192/11 = 0. What is n?
-8, -3, -2
Factor -5*x**3 + 85*x**2 + 100*x - 180.
-5*(x - 18)*(x - 1)*(x + 2)
Find m, given that -28*m**5 - 393*m**4 - 1132*m**3 - 12*m**2 + 80*m = 0.
-10, -4, -2/7, 0, 1/4
What is f in -f**4/7 + 30*f**3/7 + 96*f**2/7 + 14*f + 33/7 = 0?
-1, 33
Factor 4*p**2 + 7344*p + 3370896.
4*(p + 918)**2
Factor -5*s**3 - 10*s**2 - 5*s.
-5*s*(s + 1)**2
Factor -y**2 + 137*y/5 - 54/5.
-(y - 27)*(5*y - 2)/5
Factor -20*f**3 + 8*f**2 + 80*f - 32.
-4*(f - 2)*(f + 2)*(5*f - 2)
Factor 4*l**3 + 44*l**2 - 56*l - 96.
4*(l - 2)*(l + 1)*(l + 12)
Suppose -2*u**2/9 + 607*u/3 + 911/9 = 0. What is u?
-1/2, 911
Solve -2*r**2/13 - 166*r/13 = 0.
-83, 0
Let -z**5 - 4*z**4 - 4*z**3 + 2*z**2 + 5*z + 2 = 0. Calculate z.
-2, -1, 1
Factor -4*g**4 + 872*g**3 - 46640*g**2 - 96800*g.
-4*g*(g - 110)**2*(g + 2)
Suppose -4*q**5 + 308*q**4 + 2368*q**3 - 1232*q**2 - 9408*q = 0. What is q?
-7, -2, 0, 2, 84
What is t in -t**5 + 17*t**4 - 31*t**3 - 453*t**2 + 360*t + 2700 = 0?
-3, 3, 10
Solve 4*j**4 + 276*j**3 + 536*j**2 = 0.
-67, -2, 0
Factor -r**4/6 + 5*r**3/3 - 7*r**2/2 - 20*r/3 + 50/3.
-(r - 5)**2*(r - 2)*(r + 2)/6
Let 4*f**4 + 720*f**3 + 31672*f**2 - 65520*f + 33124 = 0. Calculate f.
-91, 1
Suppose -93*f**2/2 + 90*f + 6 = 0. Calculate f.
-2/31, 2
Solve -3*z**4 + 33*z**3 - 78*z**2 + 48*z = 0.
0, 1, 2, 8
Factor -g**4 - 6*g**3 + 15*g**2 - 8*g.
-g*(g - 1)**2*(g + 8)
Factor m**3 + 21*m**2 + 50*m - 72.
(m - 1)*(m + 4)*(m + 18)
Let -4*x**3/5 + 38*x**2/5 - 74*x/5 + 28/5 = 0. What is x?
1/2, 2, 7
Suppose 4*g**4 - 236*g**3 - 732*g**2 - 740*g - 248 = 0. What is g?
-1, 62
Find z, given that -5*z**4/2 - 50*z**3 - 415*z**2/2 - 310*z - 150 = 0.
-15, -2, -1
Factor 2*u**2/5 + 164*u/5 + 162/5.
2*(u + 1)*(u + 81)/5
Find t, given that 5*t**2 + 1090*t + 3225 = 0.
-215, -3
Suppose -k**4 + 183*k**3 - 8087*k**2 - 26691*k + 34596 = 0. Calculate k.
-4, 1, 93
Suppose -7*m**2 - 1650*m + 472 = 0. What is m?
-236, 2/7
Factor -5*f**2 + 480*f + 2000.
-5*(f - 100)*(f + 4)
Solve -k**5/3 - 6*k**4 - 59*k**3/3 + 218*k**2/3 + 20*k - 200/3 = 0.
-10, -1, 1, 2
Find h such that 15*h**5 - 3399*h**4 + 190158*h**3 + 271548*h**2 + 77976*h = 0.
-1, -2/5, 0, 114
Factor -s**3/3 + 7*s**2/3 - 5*s + 3.
-(s - 3)**2*(s - 1)/3
Factor -g**4/4 - 9*g**3/4 - 15*g**2/2 - 11*g - 6.
-(g + 2)**3*(g + 3)/4
Suppose 49*x**3/8 - 14861*x**2/4 + 4243*x/2 - 303 = 0. What is x?
2/7, 606
Let 2*q**5/11 - 98*q**4/11 + 1776*q**3/11 - 14056*q**2/11 + 40768*q/11 = 0. Calculate q.
0, 8, 13, 14
Factor 3*o**3 - 135*o**2/2 - 36*o + 69/2.
3*(o - 23)*(o + 1)*(2*o - 1)/2
Find h such that 4*h**2 + 204*h + 200 = 0.
-50, -1
Let 3*k**2/4 - 687*k/2 + 1371/4 = 0. What is k?
1, 457
Factor -2*i**2/5 