3*z/5 = 0. Calculate z.
-1, 0, 43
Find x, given that -x**4/4 + 33*x**3/2 - 93*x**2 + 182*x - 120 = 0.
2, 60
Factor 3*n**3 - 15*n**2 + 21*n - 9.
3*(n - 3)*(n - 1)**2
Factor 5*x**3 + 145*x**2 + 370*x - 520.
5*(x - 1)*(x + 4)*(x + 26)
Factor 15*g**3 + 24*g**2 + 9*g.
3*g*(g + 1)*(5*g + 3)
Solve -4*l**2 - 2912*l = 0.
-728, 0
Factor m**3/4 - 27*m/4 + 27/2.
(m - 3)**2*(m + 6)/4
Solve 6*z**5/7 - 2*z**4 - 12*z**3/7 + 24*z**2/7 + 16*z/7 = 0.
-1, -2/3, 0, 2
Factor 21*a**3/2 + 333*a**2 - 96*a.
3*a*(a + 32)*(7*a - 2)/2
Find d, given that -192*d**5/5 - 1776*d**4/5 + 4521*d**3 - 46491*d**2/5 - 12696*d/5 - 816/5 = 0.
-17, -1/8, 4
Factor 7*s**3 + 143*s**2/2 + 127*s + 24.
(s + 2)*(s + 8)*(14*s + 3)/2
Suppose s**3 - 139*s**2 + 410*s - 272 = 0. What is s?
1, 2, 136
Let -2*j**4/11 + 80*j**3/11 - 78*j**2/11 = 0. Calculate j.
0, 1, 39
Find b, given that 4*b**3/3 - 65*b**2 - 83*b - 50/3 = 0.
-1, -1/4, 50
Factor -392*m**3 + 672*m**2 - 330*m + 50.
-2*(m - 1)*(14*m - 5)**2
Factor 2*h**4/7 + 4*h**3 + 50*h**2/7 + 24*h/7.
2*h*(h + 1)**2*(h + 12)/7
Suppose f**2 + 82*f + 1681 = 0. Calculate f.
-41
Determine d so that -2*d**4/7 - 38*d**3/7 - 228*d**2/7 - 512*d/7 - 320/7 = 0.
-10, -4, -1
What is j in -j**3/2 + 259*j**2/2 - 16899*j/2 + 16641/2 = 0?
1, 129
Determine m so that 2*m**2/9 - 24*m + 648 = 0.
54
Factor -i**4/2 - i**3/2 + 3*i**2/2 + i/2 - 1.
-(i - 1)**2*(i + 1)*(i + 2)/2
Factor 2*l**3/7 - 15474*l**2/7 + 29938320*l/7 - 29922848/7.
2*(l - 3868)**2*(l - 1)/7
Factor 3*c**2 + 5*c - 8.
(c - 1)*(3*c + 8)
Let -4*s**5/7 - 16*s**4/7 + 180*s**3/7 + 1280*s**2/7 + 2624*s/7 + 1536/7 = 0. What is s?
-4, -3, -1, 8
Let 201*y**3 - 237*y**2 + 36*y = 0. Calculate y.
0, 12/67, 1
Factor -s**2/9 - 6428*s/9 - 10329796/9.
-(s + 3214)**2/9
Factor 3*k**2 + 291*k - 294.
3*(k - 1)*(k + 98)
What is l in -5*l**2 + 280*l - 540 = 0?
2, 54
Solve -2*r**5/5 + 8*r**4 - 58*r**3 + 180*r**2 - 216*r + 432/5 = 0 for r.
1, 6
Find v, given that v**2/8 + 59*v/2 + 117/2 = 0.
-234, -2
Factor w**2/10 - 2*w + 15/2.
(w - 15)*(w - 5)/10
Factor x**5/2 - 199*x**4/2 + 392*x**3 - 390*x**2.
x**2*(x - 195)*(x - 2)**2/2
Determine a so that -2*a**4/11 - 56*a**3/11 - 486*a**2/11 - 1296*a/11 - 864/11 = 0.
-12, -3, -1
Factor 3*n**2/8 - 15*n/8 + 9/4.
3*(n - 3)*(n - 2)/8
What is l in -l**4/8 + 3*l**3/4 - 9*l**2/8 = 0?
0, 3
Factor -3*r**2/2 - 384*r.
-3*r*(r + 256)/2
Factor 24*v**2/7 - 76*v/7 + 12/7.
4*(v - 3)*(6*v - 1)/7
Let -3*q**5 + 234*q**4 - 219*q**3 - 936*q**2 + 924*q = 0. What is q?
-2, 0, 1, 2, 77
Factor 4*b**3 - 8*b**2 + 4*b.
4*b*(b - 1)**2
Let 2*j**5/17 + 12*j**4/17 - 58*j**3/17 - 12*j**2/17 + 200*j/17 - 144/17 = 0. What is j?
-9, -2, 1, 2
Factor 3*j**2 + 102*j + 192.
3*(j + 2)*(j + 32)
Suppose 4*h**3/7 - 176*h**2/7 - 365*h/7 - 138/7 = 0. Calculate h.
-3/2, -1/2, 46
Solve -21*l**5/10 - 41*l**4/10 + 33*l**3/2 + 73*l**2/2 + 108*l/5 + 18/5 = 0.
-3, -1, -2/3, -2/7, 3
Factor b**4/2 + 3*b**3 - 24*b**2 + 37*b - 33/2.
(b - 3)*(b - 1)**2*(b + 11)/2
Factor -8*c**4/9 + 248*c**3/9 - 934*c**2/3 + 13640*c/9 - 24200/9.
-2*(c - 10)**2*(2*c - 11)**2/9
Factor 9*a**3/2 + 3*a**2 + a/2.
a*(3*a + 1)**2/2
Solve -p**2/10 + 1092*p/5 - 2182/5 = 0.
2, 2182
Find a such that a**2/3 - 49*a/3 + 200 = 0.
24, 25
Factor -5*b**3 - 593*b**2 + 838*b - 240.
-(b - 1)*(b + 120)*(5*b - 2)
What is t in -t**5/2 - 7*t**4 - 18*t**3 - 17*t**2 - 11*t/2 = 0?
-11, -1, 0
Factor y**2 - 2040*y + 1040400.
(y - 1020)**2
Factor 5*a**3 - 120*a**2 + 625*a - 510.
5*(a - 17)*(a - 6)*(a - 1)
Find u such that 2*u**5/13 - 10*u**3/13 + 8*u/13 = 0.
-2, -1, 0, 1, 2
Find m such that 147*m**4/2 + 34671*m**3/2 + 8167491*m**2/8 - 292227*m/2 + 10443/2 = 0.
-118, 1/14
Find h such that -5*h**2 - 1205*h - 1200 = 0.
-240, -1
Factor 3*v**2/4 + 45*v/2 - 378.
3*(v - 12)*(v + 42)/4
Let n**2/3 + 64*n/3 - 44 = 0. What is n?
-66, 2
Factor -3*i**2/7 + 78*i/7 - 360/7.
-3*(i - 20)*(i - 6)/7
Solve -3*h**3 + 9*h**2 - 9*h + 3 = 0.
1
Factor -2*k**2 + 70*k.
-2*k*(k - 35)
Let -a**2/4 + 339*a/2 = 0. Calculate a.
0, 678
Find q, given that -12*q**4 + 324*q**3 - 2847*q**2 + 8910*q - 9075 = 0.
5/2, 11
Suppose c**3/4 - 187*c**2 + 1493*c/4 - 373/2 = 0. Calculate c.
1, 746
Factor 4*u**5 - 128*u**4 - 132*u**3.
4*u**3*(u - 33)*(u + 1)
What is j in -6*j**4/11 + 10*j**3/11 + 2*j**2/11 - 10*j/11 + 4/11 = 0?
-1, 2/3, 1
Let -p**3/2 - 3*p**2 + p/2 + 15 = 0. What is p?
-5, -3, 2
Determine m, given that 4*m**5/3 - 2*m**4 + 2*m**3/3 = 0.
0, 1/2, 1
Factor -4*o**2 + 24*o + 28.
-4*(o - 7)*(o + 1)
Factor -2*p**3/3 - 4*p**2 - 10*p/3 + 8.
-2*(p - 1)*(p + 3)*(p + 4)/3
Factor 15*q**4 + 35*q**3 - 180*q**2 + 100*q.
5*q*(q - 2)*(q + 5)*(3*q - 2)
Factor 4*o**2 + 256*o - 260.
4*(o - 1)*(o + 65)
Determine m so that 3*m**3 + 6*m**2 - 75*m - 150 = 0.
-5, -2, 5
Factor -5*z**2 - 70*z - 120.
-5*(z + 2)*(z + 12)
Let -2*n**5 + 18*n**3 - 8*n**2 - 24*n = 0. Calculate n.
-3, -1, 0, 2
Factor 5*f**3 - 65*f**2 + 240*f - 180.
5*(f - 6)**2*(f - 1)
Solve -3*y**3 + 48*y**2 + 105*y + 54 = 0.
-1, 18
Determine w so that -w**4/4 - 5*w**3/4 - w**2/2 + 5*w + 6 = 0.
-3, -2, 2
Find c, given that -5*c**3 - 35*c**2 + 245*c + 275 = 0.
-11, -1, 5
Find k, given that -k**2/2 - 195*k/2 - 97 = 0.
-194, -1
Factor -5*a**3 - 90*a**2 - 255*a + 350.
-5*(a - 1)*(a + 5)*(a + 14)
Factor 2*y**2/3 - 8*y/3 - 78.
2*(y - 13)*(y + 9)/3
Factor 5*d**3 - 630*d**2 + 19845*d.
5*d*(d - 63)**2
Let 72*a**5/7 + 1586*a**4/7 - 32*a**3/7 - 1674*a**2/7 - 40*a/7 + 88/7 = 0. Calculate a.
-22, -1, -1/4, 2/9, 1
Factor -5*s**2 + 255*s - 2800.
-5*(s - 35)*(s - 16)
Find g, given that g**5 - 41*g**4 + 201*g**3 + 329*g**2 - 490*g = 0.
-2, 0, 1, 7, 35
Factor 3*q**3 + 30*q**2 + 75*q.
3*q*(q + 5)**2
What is j in 5*j**5/4 + 5*j**4/2 - 5*j**3 - 10*j**2 = 0?
-2, 0, 2
Factor 2*v**3/9 + 366*v**2 + 452650*v/3 + 1354658/9.
2*(v + 1)*(v + 823)**2/9
Find m, given that -m**3 + 18*m**2 - 15*m - 34 = 0.
-1, 2, 17
Factor 21*v**3 + 363*v**2 - 4098*v - 1200.
3*(v - 8)*(v + 25)*(7*v + 2)
Determine l so that -2*l**2/11 - 182*l/11 + 184/11 = 0.
-92, 1
What is m in 2*m**5/3 + 26*m**4/3 - 260*m**3/3 - 608*m**2/3 = 0?
-19, -2, 0, 8
Factor -t**3/3 - t**2/3 + 2*t/3.
-t*(t - 1)*(t + 2)/3
Factor -t**2/2 - 507*t/2.
-t*(t + 507)/2
Determine y, given that -2*y**5 - 1370*y**4 - 1368*y**3 = 0.
-684, -1, 0
Factor 2*r**3/5 - 8*r**2/5 - 56*r/5 - 64/5.
2*(r - 8)*(r + 2)**2/5
Determine c, given that 5*c**3 + 65*c**2 + 200*c = 0.
-8, -5, 0
Factor t**2/2 + t - 24.
(t - 6)*(t + 8)/2
Let -5*l**4/4 - 5*l**3 - 25*l**2/4 - 5*l/2 = 0. What is l?
-2, -1, 0
Suppose -c**4/7 + 24*c**3/7 + 1297*c**2/7 - 34620*c/7 + 33300/7 = 0. What is c?
-37, 1, 30
Factor r**3 - 78*r**2 - 241*r - 162.
(r - 81)*(r + 1)*(r + 2)
Let 36*v**5 + 136*v**4 + 4*v**3 - 224*v**2 + 48*v = 0. What is v?
-3, -2, 0, 2/9, 1
Factor t**2/7 + 20*t/7 + 36/7.
(t + 2)*(t + 18)/7
Let q**4/6 - 7*q**3/6 - 4*q**2/3 = 0. Calculate q.
-1, 0, 8
Determine h, given that -3*h**5 + 42*h**4 + 3*h**3 - 42*h**2 = 0.
-1, 0, 1, 14
Suppose -v**2/7 + 18*v/7 - 17/7 = 0. Calculate v.
1, 17
Suppose 4*j**3/7 - 32*j**2/7 + 4*j/7 + 24 = 0. Calculate j.
-2, 3, 7
Find h such that 2*h**5 - 36*h**4 + 156*h**3 + 112*h**2 - 558*h + 324 = 0.
-2, 1, 9
Determine y, given that 2*y**4/9 + 16*y**3/9 + 2*y**2/9 - 28*y/3 = 0.
-7, -3, 0, 2
Solve 4*y**3 - 408*y**2 + 13872*y - 157216 = 0.
34
Suppose -2*v**4 + 464*v**3/5 - 3594*v**2/5 + 4324*v/5 - 1184/5 = 0. Calculate v.
2/5, 1, 8, 37
Find y, given that -2*y**2/17 + 58*y/17 + 984/17 = 0.
-12, 41
Determine z so that -6*z**2/11 + 2148*z/11 - 192246/11 = 0.
179
What is t in -5*t**5 - 65*t**4/2 + 125*t**3 + 100*t**2 - 120*t - 135/2 = 0?
-9, -1, -1/2, 1, 3
Find d, given that -2*d**3 + 4722*d**2 - 3716214*d + 974886806 = 0.
787
Factor 4*v**5 - 40*v**4 + 144*v**3 - 232*v**2 + 172*v - 48.
4*(v - 4)*(v - 3)*(v - 1)**3
Solve 2*a**4/9 - 8*a**3 + 488*a**2/9 + 320*a + 3200/9 = 0.
-2, 20
Let 2*v**3/3 + 262*v**2/3 - 800*v/3 + 536/3 = 0. Calculate v.
-134, 1, 2
Solve -19*k**2/7 + 23*k/7 - 4/7 = 0.
4/19, 1
Let p**5/5 + 8*p**4/5 - 138*p**3/5 + 56*p**2 + 85*p = 0. Calculate p.
-17, -1, 0, 5
Solve -50*b**5/9 - 10*b**4 - 16*b**3/3 - 8*b**2/9 = 0 for b.
-1, -2/5, 0
Factor -2*b**2/5 - 38*b/5 - 96/5.
-2*(b + 3)*(b + 16)/5
Let -3*v**2/4 + 2877*v/4 = 0. What is v?
0, 959
Factor -v**5/5 - 5*v**4 - 47*v**3/5 - 23*v**2/5.
-v**2*(v + 1)**2*(v + 23)/5
Suppose 4*s**3 - 120*s**2 - 532*s - 408 = 0. What is s?
-3, -1, 3