*h*(h - 30)
Let 12*h**3 + 466*h**2 + 1218*h - 216 = 0. Calculate h.
-36, -3, 1/6
Factor l**2 - 6*l - 27.
(l - 9)*(l + 3)
Factor 9*b**3 - 6*b**2 - 36*b + 24.
3*(b - 2)*(b + 2)*(3*b - 2)
Factor 2*c**2/3 + 4*c - 32/3.
2*(c - 2)*(c + 8)/3
Suppose -s**3/4 - 15*s**2/2 + 63*s/4 - 8 = 0. Calculate s.
-32, 1
Factor 12*o**4 + 10*o**3 - 14*o**2 - 10*o + 2.
2*(o - 1)*(o + 1)**2*(6*o - 1)
Suppose 4*n**4/5 - 4*n**3/5 - 24*n**2/5 + 16*n/5 + 32/5 = 0. Calculate n.
-2, -1, 2
Suppose 3*b**4/5 - 12*b**3 + 249*b**2/5 - 372*b/5 + 36 = 0. Calculate b.
1, 2, 15
Factor -4*y**2 - 300*y.
-4*y*(y + 75)
Factor -5*v**2 - 230*v.
-5*v*(v + 46)
Find v, given that -9*v**5/7 - 52*v**4/7 - 96*v**3/7 - 66*v**2/7 - v + 6/7 = 0.
-3, -1, 2/9
Let 3*n**2 + 105*n + 522 = 0. Calculate n.
-29, -6
Suppose 4*r**5/5 + 1544*r**4 + 1191968*r**3 + 460099648*r**2 + 88799232064*r + 34276503576704/5 = 0. What is r?
-386
Solve 6*m**2 - 17937*m/4 + 6723/4 = 0 for m.
3/8, 747
What is a in -5*a**5 - 75*a**4 - 135*a**3 - 65*a**2 = 0?
-13, -1, 0
Factor k**2 - 8*k + 15.
(k - 5)*(k - 3)
Find n, given that 2*n**3/3 + 142*n**2 - 428*n/3 = 0.
-214, 0, 1
Suppose -x**2/3 - 22*x = 0. What is x?
-66, 0
Factor -f**3 + 27*f**2 - 186*f + 160.
-(f - 16)*(f - 10)*(f - 1)
Factor 2*z**2/3 + 14*z/3 - 20.
2*(z - 3)*(z + 10)/3
Determine j, given that j**5/3 + j**4 - 4*j**3/3 = 0.
-4, 0, 1
Let -r**2/9 + r/3 = 0. What is r?
0, 3
Find g, given that -7*g**3 - 167*g**2/6 - 61*g/3 + 1/2 = 0.
-3, -1, 1/42
Suppose -2*v**5 + 174*v**4 - 318*v**3 - 1894*v**2 + 1968*v + 6120 = 0. What is v?
-2, 3, 85
Factor -2*l**2/3 + 4*l + 32/3.
-2*(l - 8)*(l + 2)/3
What is z in -25*z**5 - 110*z**4 - 116*z**3 - 34*z**2 - 3*z = 0?
-3, -1, -1/5, 0
Determine u, given that -3*u**2 + 126*u - 891 = 0.
9, 33
Factor -3*o**5 - 231*o**4 - 4080*o**3 + 14400*o**2.
-3*o**2*(o - 3)*(o + 40)**2
Suppose -6*v**4 + 128*v**3 - 830*v**2 + 1332*v + 1296 = 0. What is v?
-2/3, 4, 9
Solve 15*i**2 - 155*i - 110 = 0 for i.
-2/3, 11
Let 4*v**2 - 3260*v - 6536 = 0. What is v?
-2, 817
Let 3*p**5/2 - 21*p**4 - 81*p**3/2 + 270*p**2 = 0. What is p?
-4, 0, 3, 15
Factor 72*r**3 - 16*r**2 - 406*r/9 - 98/9.
2*(r - 1)*(18*r + 7)**2/9
Find r such that -4*r**5 - 89*r**4 - 602*r**3 - 1345*r**2 - 300*r = 0.
-12, -5, -1/4, 0
Factor 5*o**3 - 60*o**2 + 100*o.
5*o*(o - 10)*(o - 2)
Find i, given that -i**3/3 + i**2 + 35*i - 539/3 = 0.
-11, 7
Suppose -3*m**5 + 15*m**4/7 + 6*m**3 - 30*m**2/7 - 3*m + 15/7 = 0. Calculate m.
-1, 5/7, 1
Suppose 5*z**3 + 65*z**2 - 5*z - 65 = 0. What is z?
-13, -1, 1
Factor l**2/6 + 36*l + 1944.
(l + 108)**2/6
Suppose -s**3/3 + 34*s**2/3 - 95*s/3 + 62/3 = 0. Calculate s.
1, 2, 31
Factor -2*u**3 - 34*u**2 - 60*u.
-2*u*(u + 2)*(u + 15)
Solve 378*v**5/5 - 936*v**4 + 11904*v**3/5 - 3516*v**2/5 - 954*v/5 + 324/5 = 0 for v.
-2/7, 1/3, 3, 9
Solve -y**5/4 + 69*y**4/4 + y**3/4 - 69*y**2/4 = 0.
-1, 0, 1, 69
Solve -196*u**5 - 770*u**4 + 1076*u**3 + 82*u**2 - 232*u + 40 = 0.
-5, -1/2, 2/7, 1
Suppose -75*c**2 + 55*c + 130 = 0. What is c?
-1, 26/15
Factor -3*n**3/7 - 138*n**2/7 + 3*n/7 + 138/7.
-3*(n - 1)*(n + 1)*(n + 46)/7
Factor 4*i**3 - 32*i**2 + 64*i.
4*i*(i - 4)**2
Factor -2*u**3/5 + 2*u**2 + 236*u/5 + 224/5.
-2*(u - 14)*(u + 1)*(u + 8)/5
Find v such that 3*v**4 - 1068*v**3 + 98190*v**2 - 556500*v + 459375 = 0.
1, 5, 175
Determine q so that q**2/3 + 215*q/3 = 0.
-215, 0
Factor v**3/7 - 45*v**2 + 627*v/7 - 313/7.
(v - 313)*(v - 1)**2/7
Find q, given that 5*q**2 + 310*q - 2415 = 0.
-69, 7
Let -60*b**4 - 1328*b**3 - 4076*b**2 + 40040*b + 5408 = 0. Calculate b.
-13, -2/15, 4
Determine u so that u**4/5 + 1059*u**3/5 + 1058*u**2/5 = 0.
-1058, -1, 0
Find f such that -2*f**3/21 + 34*f**2/21 + 12*f/7 = 0.
-1, 0, 18
Factor q**5 - 3*q**4 - 7*q**3 + 15*q**2 + 18*q.
q*(q - 3)**2*(q + 1)*(q + 2)
Find r such that 9*r**3/4 - 41*r**2/8 + r + 1/2 = 0.
-2/9, 1/2, 2
Factor 3*j**2/2 - 153*j/2 + 867.
3*(j - 34)*(j - 17)/2
Solve -5*y**4 + 8*y**3 + 394*y**2/5 + 152*y/5 + 3 = 0 for y.
-3, -1/5, 5
Factor -65*r**2/3 - 440*r/3 - 125.
-5*(r + 1)*(13*r + 75)/3
Factor 2*w**5 + 14*w**4 + 26*w**3 - 6*w**2 - 36*w.
2*w*(w - 1)*(w + 2)*(w + 3)**2
Factor -c**3/3 + 2*c**2/3 + 16*c.
-c*(c - 8)*(c + 6)/3
Solve -27*p**4 - 87*p**3 + 144*p**2 + 252*p + 48 = 0.
-4, -1, -2/9, 2
Suppose 44*k**2 + 212*k - 40 = 0. What is k?
-5, 2/11
Suppose -49*r**5 - 287*r**4 - 561*r**3 - 481*r**2 - 182*r - 24 = 0. What is r?
-3, -1, -4/7, -2/7
What is n in -6*n**5 + 93*n**4 - 531*n**3 + 1353*n**2 - 1455*n + 450 = 0?
1/2, 2, 3, 5
Find j, given that 5*j**4 - 25*j**2 + 20 = 0.
-2, -1, 1, 2
Suppose -4*p**2/3 + 52*p + 328/3 = 0. What is p?
-2, 41
Factor 4*w**3 + 68*w**2 - 744*w - 1728.
4*(w - 9)*(w + 2)*(w + 24)
Factor 2*d**3/11 + 34*d**2/11 - 160*d/11 + 168/11.
2*(d - 2)**2*(d + 21)/11
Suppose x**2 + 21*x + 38 = 0. Calculate x.
-19, -2
Factor -4*z**3 - 92*z**2 + 4*z + 92.
-4*(z - 1)*(z + 1)*(z + 23)
Factor 5*d**3 - 50*d**2 - 285*d + 1170.
5*(d - 13)*(d - 3)*(d + 6)
Find g such that -g**5/4 + 7*g**4 + 3*g**3/4 - 43*g**2/2 + 14*g = 0.
-2, 0, 1, 28
Factor -5*r**2 - 250*r + 520.
-5*(r - 2)*(r + 52)
Suppose -100*k**3 - 3940*k**2 - 3865*k - 960 = 0. What is k?
-192/5, -1/2
Factor -221*q**2 - 2651*q/2 + 3.
-(q + 6)*(442*q - 1)/2
Factor n**3/5 + 3*n**2/5 + 2*n/5.
n*(n + 1)*(n + 2)/5
Determine v so that 6*v**4 + 603*v**3/4 + 651*v**2/4 + 18*v = 0.
-24, -1, -1/8, 0
Let -4*u**5 + 56*u**4 - 228*u**3 + 144*u**2 + 432*u = 0. Calculate u.
-1, 0, 3, 6
Factor 21*q**2 + 186*q - 27.
3*(q + 9)*(7*q - 1)
Determine s, given that 3*s**2 - 342*s + 339 = 0.
1, 113
Factor 2*b**3 + 38*b**2 + 68*b.
2*b*(b + 2)*(b + 17)
Factor -6*l**5/11 - 2352*l**4/11 - 7020*l**3/11 - 7008*l**2/11 - 2334*l/11.
-6*l*(l + 1)**3*(l + 389)/11
Factor 2*f**5 - 30*f**4 + 126*f**3 - 98*f**2.
2*f**2*(f - 7)**2*(f - 1)
Determine h so that -4*h**3 + 4*h**2 + 16*h - 16 = 0.
-2, 1, 2
Suppose -u**3/5 - 32*u**2/5 - 31*u/5 = 0. Calculate u.
-31, -1, 0
Let 3*m**4 - 6*m**3 - 12*m**2 + 24*m = 0. Calculate m.
-2, 0, 2
What is c in 8*c**5/15 + 70*c**4/3 - 2064*c**3/5 + 24262*c**2/15 - 5684*c/15 = 0?
-58, 0, 1/4, 7
Factor x**3/4 - 27*x/4 - 27/2.
(x - 6)*(x + 3)**2/4
Solve -3*y**5/4 + 63*y**4/4 - 117*y**3/4 - 2535*y**2/4 = 0 for y.
-5, 0, 13
Factor 4*f**3 - 28*f**2 + 64*f - 48.
4*(f - 3)*(f - 2)**2
Let -51*a**5/7 + 111*a**4/7 + 594*a**3/7 + 606*a**2/7 + 129*a/7 - 45/7 = 0. Calculate a.
-1, 3/17, 5
Suppose -m**4/4 + 95*m**3/4 - 91*m**2/2 - 95*m + 186 = 0. Calculate m.
-2, 2, 93
Let -m**4/4 - 7*m**3/4 - 9*m**2/4 + 7*m/4 + 5/2 = 0. What is m?
-5, -2, -1, 1
Find v such that -20*v**4/3 + 56*v**3 - 304*v**2/3 + 32*v = 0.
0, 2/5, 2, 6
Factor -2*j**2/5 + 8*j/5 - 8/5.
-2*(j - 2)**2/5
Factor -5*s**3 + 160*s**2 + 545*s - 700.
-5*(s - 35)*(s - 1)*(s + 4)
Determine g so that -g**2 + 1093*g = 0.
0, 1093
Factor 3*p**5 + 21*p**4 + 18*p**3.
3*p**3*(p + 1)*(p + 6)
Factor -36*q**4 + 120*q**3 - 148*q**2 + 80*q - 16.
-4*(q - 1)**2*(3*q - 2)**2
What is i in 720*i**3 + 4*i**2 - 720*i - 4 = 0?
-1, -1/180, 1
Determine z so that -z**3/5 - 2*z**2/5 + z + 6/5 = 0.
-3, -1, 2
Determine g so that 6*g**4 + 56*g**3 + 488*g**2/3 + 448*g/3 + 128/3 = 0.
-4, -2/3
What is q in -3*q**4/4 + 45*q**3/4 + 165*q**2/4 - 1125*q/4 + 459/2 = 0?
-6, 1, 3, 17
Determine k so that -3*k**4/4 - 27*k**3/4 - 21*k**2/2 = 0.
-7, -2, 0
Factor -2*m**3/13 - 212*m**2/13 - 4760*m/13 - 2352.
-2*(m + 14)**2*(m + 78)/13
Factor f**4/3 + 5*f**3 + 9*f**2 + 13*f/3.
f*(f + 1)**2*(f + 13)/3
Factor -2*k**2 - 54*k - 100.
-2*(k + 2)*(k + 25)
Factor -k**2 - 215*k/3 + 24.
-(k + 72)*(3*k - 1)/3
Factor -3*d**3 + 4554*d**2 - 2304324*d + 388662648.
-3*(d - 506)**3
Find y, given that -y**5 - 29*y**4 + 101*y**3 + 157*y**2 - 100*y - 128 = 0.
-32, -1, 1, 4
Factor -5*q**2 + 40*q - 60.
-5*(q - 6)*(q - 2)
Factor -l**3/4 - 8*l**2 + 219*l/4 - 171/2.
-(l - 3)**2*(l + 38)/4
Find x such that -3*x**4 - 15*x**3 - 24*x**2 - 12*x = 0.
-2, -1, 0
Let -k**5/3 - 7*k**4/6 - 7*k**3/6 - k**2/3 = 0. What is k?
-2, -1, -1/2, 0
Solve -5*b**4 - 30*b**3 - 65*b**2 - 60*b - 20 = 0 for b.
-2, -1
Let -99*s**3 + 3261*s**2 + 198*s = 0. What is s?
-2/33, 0, 33
Let 5*l**4/4 + 20*l**3 - 175*l**2/4 + 45*l/2 = 0. What is l?
-18, 0, 1
Suppose 15*j**5 + 235*j**4 + 115*j**3 - 515*j**2 + 150*j = 0. What is j?
-15, -2, 0, 1/3, 1
Let 3*t**2/5 + 3*t = 0. What is t?
-5, 0
Let -m**5/10 - 2*m**4/5 + 7*m**2/5 + 17*m/10 + 3/5 = 0.