alculate m.
-30, -1
Factor -12*y**5/7 - 36*y**4/7 - 27*y**3/7.
-3*y**3*(2*y + 3)**2/7
Find b, given that 5*b**3/3 - 41*b**2/3 + 68*b/3 - 4 = 0.
1/5, 2, 6
Determine l, given that 4*l**5 - 24*l**4 + 44*l**3 - 24*l**2 = 0.
0, 1, 2, 3
Determine m so that -28*m**5/5 - 1636*m**4/5 - 668*m**3/5 + 1636*m**2/5 + 696*m/5 = 0.
-58, -1, -3/7, 0, 1
Factor 5*d**3/2 - 45*d/2.
5*d*(d - 3)*(d + 3)/2
Suppose 35*y**3 + 54*y**2 + 16*y = 0. What is y?
-8/7, -2/5, 0
Determine x, given that -4*x**3/9 + 22*x**2/3 - 146*x/9 - 24 = 0.
-1, 4, 27/2
Let 5*c**5 + 40*c**4 + 30*c**3 - 40*c**2 - 35*c = 0. Calculate c.
-7, -1, 0, 1
Factor y**3 + y**2 - 16*y + 20.
(y - 2)**2*(y + 5)
Determine g so that -5*g**3/2 + 7*g**2 - 4*g = 0.
0, 4/5, 2
Suppose -2*a**5 + 16*a**4 + 120*a**3 + 140*a**2 - 118*a - 156 = 0. Calculate a.
-3, -2, -1, 1, 13
Find f, given that -2*f**2/3 + 8*f + 30 = 0.
-3, 15
Factor b**3 + 12*b**2 + 35*b + 24.
(b + 1)*(b + 3)*(b + 8)
What is c in -5*c**4 - 100*c**3 - 260*c**2 + 2400*c - 2880 = 0?
-12, 2
Factor 2*f**5/11 + 18*f**4/11 + 30*f**3/11 + 14*f**2/11.
2*f**2*(f + 1)**2*(f + 7)/11
Let -4*r**2 + 584*r - 1152 = 0. Calculate r.
2, 144
Factor 3*q**3/7 - 30*q**2/7 - 3111*q/7 - 3078/7.
3*(q - 38)*(q + 1)*(q + 27)/7
Factor -2*j**4 + 2*j**3 + 4*j**2.
-2*j**2*(j - 2)*(j + 1)
Determine f so that 3*f**5 + 69*f**4 + 357*f**3 - 501*f**2 - 360*f + 432 = 0.
-12, -1, 1
Determine i, given that -5*i**4 - 23*i**3 - 30*i**2 - 4*i + 8 = 0.
-2, -1, 2/5
Solve 2*u**5/9 + 2*u**4/3 - 2*u**3 + 10*u**2/9 = 0 for u.
-5, 0, 1
Find h such that 768*h**4 + 3360*h**3 + 4251*h**2 + 1260*h + 108 = 0.
-2, -3/16
Factor 3*d**2 + 402*d + 399.
3*(d + 1)*(d + 133)
Solve 2*q**3 - 12*q**2 - 14*q = 0 for q.
-1, 0, 7
Factor -3*x**4/4 - 3*x**3/2 + 15*x**2/4 + 9*x/2.
-3*x*(x - 2)*(x + 1)*(x + 3)/4
Factor -20*r**2 + 125*r - 125.
-5*(r - 5)*(4*r - 5)
Suppose -4*f**3/9 - 1484*f**2/9 - 45632*f/3 + 15376 = 0. Calculate f.
-186, 1
Find b such that -2*b**3/3 - 360*b**2 - 49312*b - 574592/3 = 0.
-268, -4
Find l, given that -4*l**3/3 - 88*l**2/3 + 400*l/3 - 416/3 = 0.
-26, 2
Find h, given that -3*h**2 + 444*h + 447 = 0.
-1, 149
Solve c**2/3 + 61*c/3 - 42 = 0.
-63, 2
Determine u so that 5*u**5 - 70*u**4 + 180*u**3 - 170*u**2 + 55*u = 0.
0, 1, 11
Find z, given that 15*z**3 + 24*z**2 - 12*z = 0.
-2, 0, 2/5
What is t in -5*t**5/4 - 17*t**4/4 + 31*t**3/2 + 55*t**2/2 - 9*t/4 - 45/4 = 0?
-5, -1, 3/5, 3
Factor 162*i**3 + 126*i**2 - 34*i + 2.
2*(i + 1)*(9*i - 1)**2
Determine f, given that -18*f**5 + 2094*f**4 - 6836*f**3 + 6344*f**2 - 1808*f = 0.
0, 2/3, 2, 113
Factor -6*g**3 + 374*g**2 + 636*g + 256.
-2*(g - 64)*(g + 1)*(3*g + 2)
Factor -2*b**3/7 + 27*b**2/7 - 85*b/7 + 36/7.
-(b - 9)*(b - 4)*(2*b - 1)/7
Determine b so that -3*b**2 + 112*b - 37 = 0.
1/3, 37
What is z in 4*z**3 + 32*z**2 + 16*z - 192 = 0?
-6, -4, 2
Factor -5*k**5 + 75*k**4 + 165*k**3 + 85*k**2.
-5*k**2*(k - 17)*(k + 1)**2
Factor -365*b**3 - 732*b**2 - 369*b - 2.
-(b + 1)**2*(365*b + 2)
Factor -3*a**4 - 90*a**3 - 591*a**2 + 684*a.
-3*a*(a - 1)*(a + 12)*(a + 19)
Determine y so that y**2/10 - 8*y/5 - 616/5 = 0.
-28, 44
Suppose -j**3/5 + j/5 = 0. Calculate j.
-1, 0, 1
Solve -4*y**4/5 + 58*y**3/5 + 702*y**2/5 + 1808*y/5 + 736/5 = 0 for y.
-4, -1/2, 23
Find q, given that -q**4 + 8*q**3 - 2*q**2 - 32*q - 21 = 0.
-1, 3, 7
Factor 2*a**2/17 - 22*a/17 + 20/17.
2*(a - 10)*(a - 1)/17
Find s, given that 2*s**2/9 - 188*s/9 - 190/9 = 0.
-1, 95
Factor 2*u**4/3 - 34*u**2/3 + 24*u - 40/3.
2*(u - 2)**2*(u - 1)*(u + 5)/3
Factor 10*p**3 - 175*p**2 + 55*p + 510.
5*(p - 17)*(p - 2)*(2*p + 3)
Factor 2*n**4 - 686*n**3 + 4068*n**2 - 8104*n + 5392.
2*(n - 337)*(n - 2)**3
Factor 5*h**3/3 + 5*h**2 - 150*h + 360.
5*(h - 6)*(h - 3)*(h + 12)/3
Factor 12*c**2 + 1425*c/2 + 531/2.
3*(c + 59)*(8*c + 3)/2
Suppose -3*i**4/2 - 15*i**3/2 + 39*i**2/2 + 159*i/2 - 90 = 0. What is i?
-5, -4, 1, 3
Solve -5*w**4 - 75*w**3 - 370*w**2 - 660*w - 360 = 0.
-6, -2, -1
Solve -2*f**2/7 + 32*f/7 - 96/7 = 0 for f.
4, 12
Let p**4 + 277*p**3 + 1087*p**2 - 1365*p = 0. Calculate p.
-273, -5, 0, 1
Solve 4*g**3 + 16*g**2 - 340*g - 352 = 0.
-11, -1, 8
Factor -2*a**3/11 - 24*a**2/11 - 70*a/11 - 48/11.
-2*(a + 1)*(a + 3)*(a + 8)/11
Factor 5*n**3/3 - 5*n**2/3 - 85*n/3 - 25.
5*(n - 5)*(n + 1)*(n + 3)/3
Solve x**3/7 - 11*x**2/7 - x/7 + 11/7 = 0.
-1, 1, 11
What is a in 22*a**4 - 4770*a**3/7 + 34372*a**2/7 + 5760*a + 1024/7 = 0?
-1, -2/77, 16
Suppose a**5 - 21*a**4 + 72*a**3 + 428*a**2 + 96*a - 576 = 0. Calculate a.
-2, 1, 12
Determine r so that 27*r**5 - 261*r**4 + 561*r**3 + 453*r**2 - 480*r - 300 = 0.
-2/3, 1, 5
Factor -3*z**4/2 - 45*z**3/2 - 39*z**2.
-3*z**2*(z + 2)*(z + 13)/2
Let u**2 + 32*u - 68 = 0. What is u?
-34, 2
Factor r**4/2 - 5*r**3/2 - 13*r**2/2 - 7*r/2.
r*(r - 7)*(r + 1)**2/2
Factor -r**2 - 42*r + 43.
-(r - 1)*(r + 43)
Determine k, given that -k**5 - 46*k**4 - 572*k**3 - 968*k**2 = 0.
-22, -2, 0
Let 3*a**2/5 + 183*a/5 + 330 = 0. What is a?
-50, -11
Find p, given that 18*p**2/7 + 4*p/7 = 0.
-2/9, 0
Factor d**3/2 - 10*d**2 + 59*d/2 + 40.
(d - 16)*(d - 5)*(d + 1)/2
Determine d so that 8*d**5 - 156*d**4 + 72*d**3 + 76*d**2 = 0.
-1/2, 0, 1, 19
Factor a**4/4 - 197*a**3/4 - 199*a**2/4 + 197*a/4 + 99/2.
(a - 198)*(a - 1)*(a + 1)**2/4
Factor 2*n**5/9 + 14*n**4/3 + 32*n**3 + 48*n**2 - 288*n - 864.
2*(n - 3)*(n + 6)**4/9
Solve 4*i**3/5 + 212*i**2/5 - 1396*i/5 + 236 = 0 for i.
-59, 1, 5
Factor l**4 + 18*l**3 - 540*l**2 + 3672*l - 7776.
(l - 6)**3*(l + 36)
Let -u**5 + 2*u**4 + 2*u**3 - 4*u**2 - u + 2 = 0. Calculate u.
-1, 1, 2
Factor 195*o**2 - 1175*o + 30.
5*(o - 6)*(39*o - 1)
Factor 2*d**3 + 868*d**2 + 98368*d + 898880.
2*(d + 10)*(d + 212)**2
Factor -g**3/10 + 3*g**2/5 - 16/5.
-(g - 4)**2*(g + 2)/10
Factor 5*n**4 + 70*n**3 - 275*n**2 - 340*n.
5*n*(n - 4)*(n + 1)*(n + 17)
Factor -7*m**4 - 10*m**3 + 4*m**2 + 10*m + 3.
-(m - 1)*(m + 1)**2*(7*m + 3)
Find y such that 27*y**4 + 6*y**3 - 27*y**2 - 6*y = 0.
-1, -2/9, 0, 1
Factor -9*v**3/7 - 87*v**2/7 + 30*v/7.
-3*v*(v + 10)*(3*v - 1)/7
Suppose -u**5/3 - 98*u**4/3 - 767*u**3 + 4900*u**2/3 - 2500*u/3 = 0. What is u?
-50, 0, 1
Solve 18*s**4 + 284*s**3 + 458*s**2 + 136*s - 56 = 0 for s.
-14, -1, 2/9
Factor g**2/4 - 39*g/2 - 40.
(g - 80)*(g + 2)/4
Factor -4*p**3/3 - 68*p**2/3 - 176*p/3 - 112/3.
-4*(p + 1)*(p + 2)*(p + 14)/3
Factor 3*p**4 + 75*p**3 + 567*p**2 + 1221*p + 726.
3*(p + 1)*(p + 2)*(p + 11)**2
Factor -2*c**3/5 + 36*c**2/5 + 8*c/5 - 144/5.
-2*(c - 18)*(c - 2)*(c + 2)/5
Solve -3*o**2 - 1278*o + 2568 = 0 for o.
-428, 2
What is j in j**4/2 - 943*j**3 + 593460*j**2 - 125019728*j + 247673152 = 0?
2, 628
Factor 2*t**4 - 6*t**3 + 8*t.
2*t*(t - 2)**2*(t + 1)
Factor 2*a**4 - 28*a**3 + 112*a**2 - 128*a.
2*a*(a - 8)*(a - 4)*(a - 2)
Find j, given that -j**2/2 + 279*j/2 + 140 = 0.
-1, 280
Factor q**2 - 2714*q + 1841449.
(q - 1357)**2
Factor -2*n**3/15 - 14*n**2/3 - 192*n/5 + 216/5.
-2*(n - 1)*(n + 18)**2/15
Suppose g**2/6 - 77*g/6 + 38/3 = 0. What is g?
1, 76
Factor 2*x**2 + 424*x/7 + 120/7.
2*(x + 30)*(7*x + 2)/7
Find c such that 15*c**5 + 455*c**4 + 1715*c**3/3 - 785*c**2/3 - 1760*c/3 - 580/3 = 0.
-29, -1, -2/3, 1
Factor 14*p**2/3 + 10*p/3 - 4/3.
2*(p + 1)*(7*p - 2)/3
Factor 55*r**2/2 - 57*r/2 + 1.
(r - 1)*(55*r - 2)/2
Suppose -2*q**2/5 - 294*q/5 + 296/5 = 0. Calculate q.
-148, 1
Determine y, given that -y**2 - 2191*y - 2190 = 0.
-2190, -1
Factor 5*a**2 - 365*a + 5610.
5*(a - 51)*(a - 22)
Suppose 5*n**2 - 505*n - 2650 = 0. Calculate n.
-5, 106
Find q such that -35*q**4 - 255*q**3 - 420*q**2 - 100*q = 0.
-5, -2, -2/7, 0
Let 12*l**5 + 16*l**4 - 8*l**3 - 16*l**2 - 4*l = 0. Calculate l.
-1, -1/3, 0, 1
Solve -2*m**5/9 + 8*m**4/9 + 2*m**3/3 - 20*m**2/9 - 16*m/9 = 0 for m.
-1, 0, 2, 4
Factor 5*n**3/3 + 223*n**2/9 + 20*n - 28/9.
(n + 1)*(n + 14)*(15*n - 2)/9
Let 55*q**3 + 725*q**2 - 640*q - 140 = 0. What is q?
-14, -2/11, 1
Solve -2*l**5/5 - 2*l**4 + 8*l**3/5 + 88*l**2/5 + 96*l/5 = 0.
-4, -2, 0, 3
Factor 2*x**2/3 + 20*x/3 - 400/3.
2*(x - 10)*(x + 20)/3
Let 32*a**3 + 304*a**2 - 510*a + 198 = 0. Calculate a.
-11, 3/4
Factor 2*x**3/17 - 1130*x**2/17 + 165646*x/17 - 1688038/17.
2*(x - 277)**2*(x - 11)/17
Let 3*c**2/5 - 27*c - 138/5 = 0. Calculate c.
-1, 46
Solve -a**4/8 - a**3/2 + a**2/4 + 3*a/2 - 9/8 = 0 for a.
-3, 1
What is u in -u**5/2 - 7*u**4/4 + u**3 = 0?
-4, 0, 1/2
Factor -2*j**2 - 30*