*3 + 74*x**2 + 164*x + 96 = 0.
-3, -2, -1, 8
Suppose -15*x**5 - 1326*x**4 - 44088*x**3 - 656304*x**2 - 3769392*x - 1405536 = 0. What is x?
-22, -2/5
Factor -3*b**3/2 + 39*b**2/2 + 615*b/2 + 1725/2.
-3*(b - 23)*(b + 5)**2/2
Let 4*s**4/3 - 16*s**3 + 56*s**2 - 80*s/3 - 100 = 0. What is s?
-1, 3, 5
Determine p so that p**5/8 + 11*p**4/8 + 11*p**3/8 - 71*p**2/8 - 15*p/2 + 27/2 = 0.
-9, -3, -2, 1, 2
Factor -r**2/7 - 1528*r/7 - 583696/7.
-(r + 764)**2/7
Find f such that f**5/8 + 19*f**4/2 - 79*f**3/2 + 40*f**2 = 0.
-80, 0, 2
Let -u**4 - 47*u**3/3 + 19*u**2/3 + 47*u/3 - 16/3 = 0. What is u?
-16, -1, 1/3, 1
Suppose 3*g**3/2 - 81*g**2/2 + 264*g = 0. What is g?
0, 11, 16
Find w, given that 8*w**5 - 94*w**4/5 + 6*w**3/5 + 8*w**2 + 8*w/5 = 0.
-2/5, -1/4, 0, 1, 2
Factor -l**2 + 817*l/5 - 326/5.
-(l - 163)*(5*l - 2)/5
Let -4*t**3 - 48*t**2 - 180*t - 216 = 0. What is t?
-6, -3
Let -q**4/2 - 19*q**3/2 + 43*q**2/2 + 19*q/2 - 21 = 0. What is q?
-21, -1, 1, 2
Suppose 3*b**3/5 - 48*b**2/5 + 33*b + 216/5 = 0. What is b?
-1, 8, 9
Let -j**4 + 15*j**3 + 223*j**2 + 657*j + 450 = 0. Calculate j.
-6, -3, -1, 25
Factor -p**2 - 76*p - 75.
-(p + 1)*(p + 75)
Let 5*q**3 + 150*q**2 = 0. Calculate q.
-30, 0
Suppose -4*o**5 + 72*o**3 + 128*o**2 + 60*o = 0. What is o?
-3, -1, 0, 5
Let 2*f**5 - 74*f**4 + 820*f**3 - 2176*f**2 - 3072*f = 0. What is f?
-1, 0, 6, 16
Suppose -3*j**4 + 564*j**3 - 25938*j**2 - 53580*j - 27075 = 0. Calculate j.
-1, 95
Solve 3510*j**5 + 8559*j**4 + 7812*j**3 + 3200*j**2 + 528*j + 16 = 0 for j.
-2/3, -2/5, -1/26
Factor 2*x**3/3 - 32*x**2 + 270*x - 1900/3.
2*(x - 38)*(x - 5)**2/3
Solve -6203532*l**4/5 + 6177648*l**3/5 + 25857*l**2/5 + 27*l/5 = 0.
-3/1438, 0, 1
Suppose -5*p**4 + 305*p**3 - 4495*p**2 - 4805*p = 0. What is p?
-1, 0, 31
Factor -50*z**5/3 + 60*z**4 - 242*z**3/3 + 48*z**2 - 32*z/3.
-2*z*(z - 1)**2*(5*z - 4)**2/3
Factor s**2 + 6*s + 5.
(s + 1)*(s + 5)
Factor -3*h**2 - 33*h + 456.
-3*(h - 8)*(h + 19)
Let -5*n**3 + 486*n**2 - 568*n - 768 = 0. Calculate n.
-4/5, 2, 96
Find a, given that -15*a**3 - 3*a**2 + 18*a = 0.
-6/5, 0, 1
Factor 5*d**3 + 560*d**2 + 15105*d - 32490.
5*(d - 2)*(d + 57)**2
Solve -5*i**5 + 20*i**4 - 80*i**2 + 80*i = 0 for i.
-2, 0, 2
Suppose l**3/6 + 131*l**2/6 + 256*l/3 + 254/3 = 0. What is l?
-127, -2
Determine v so that 3*v**5/2 + 42*v**4 - 3*v**3 - 84*v**2 + 3*v/2 + 42 = 0.
-28, -1, 1
Factor 4*n**4 + 128*n**3 + 120*n**2 - 128*n - 124.
4*(n - 1)*(n + 1)**2*(n + 31)
Let -5*k**3/3 + 10*k**2/3 + 65*k/3 + 50/3 = 0. What is k?
-2, -1, 5
Factor 5*s**3 - 60*s**2 + 135*s.
5*s*(s - 9)*(s - 3)
Factor q**3/3 - 77*q**2/3 - 80*q.
q*(q - 80)*(q + 3)/3
Factor -d**2/4 - 11*d/2 - 30.
-(d + 10)*(d + 12)/4
Find f such that 2*f**4 + 196*f**3 + 6242*f**2 + 70560*f + 259200 = 0.
-40, -9
Factor -10*a**3/7 - 44*a**2/7 - 30*a/7 + 36/7.
-2*(a + 2)*(a + 3)*(5*a - 3)/7
Factor f**2 - 42*f.
f*(f - 42)
Let o**2/4 + 55*o/2 = 0. Calculate o.
-110, 0
Factor -5*u**3 + 29*u**2 + 176*u + 196.
-(u + 2)**2*(5*u - 49)
Solve 5*u**2 - 260*u + 3380 = 0.
26
Factor -29*k**3 - 2205*k**2/2 - 10488*k - 361/2.
-(k + 19)**2*(58*k + 1)/2
Find v, given that -4*v**3/7 - 393*v**2/7 - 14*v = 0.
-98, -1/4, 0
Factor 4*c**2 + 80*c - 84.
4*(c - 1)*(c + 21)
Determine o, given that -5*o**5 - 30*o**4 + 20*o**3 + 170*o**2 - 255*o + 100 = 0.
-5, -4, 1
Find g such that 5*g**3 - 40*g**2 + 60*g = 0.
0, 2, 6
Factor 2*q**2 + 192*q - 392.
2*(q - 2)*(q + 98)
Solve -5*r**4 + 80*r**3 - 195*r**2 = 0.
0, 3, 13
Factor 4*q**2 + 1968*q.
4*q*(q + 492)
Find p such that -4*p**4/3 + 8*p**3 - 28*p**2/3 - 8*p + 32/3 = 0.
-1, 1, 2, 4
Suppose -4*d**5/9 - 8*d**4/9 + 44*d**3/9 + 32*d**2/9 - 80*d/9 - 64/9 = 0. What is d?
-4, -1, 2
Factor 3*y**3 - 22*y**2 + 7*y.
y*(y - 7)*(3*y - 1)
Factor -2*u**3 - 10*u**2 + 76*u + 336.
-2*(u - 6)*(u + 4)*(u + 7)
Factor -5*o**3 + 295*o**2 + 920*o + 620.
-5*(o - 62)*(o + 1)*(o + 2)
Factor -m**2/4 - 5*m/2 + 39/4.
-(m - 3)*(m + 13)/4
Find k such that -k**3 - 1642*k**2 - 3280*k = 0.
-1640, -2, 0
Determine y, given that 2*y**2 + 6604*y + 5451602 = 0.
-1651
Solve 45*q**4 + 1050*q**3 + 5765*q**2 - 4200*q + 720 = 0.
-12, 1/3
Find l such that l**2 - 153*l = 0.
0, 153
Find g, given that -3*g**3 + 36*g**2 - 135*g + 150 = 0.
2, 5
Factor 11*p**3/7 - 9*p**2/7 - 2*p/7.
p*(p - 1)*(11*p + 2)/7
Factor 3*h**4 - 146*h**3 - 201*h**2 + 48*h + 100.
(h - 50)*(h + 1)**2*(3*h - 2)
Factor 2*f**2 + 12*f + 10.
2*(f + 1)*(f + 5)
Factor 3*h**5/2 - 420*h**4 + 314715*h**3/8 - 9964485*h**2/8 + 9730125*h/8 - 2413071/8.
3*(h - 93)**3*(2*h - 1)**2/8
Suppose -18*y**5 - 561*y**4 + 615*y**3 + 1158*y**2 = 0. What is y?
-193/6, -1, 0, 2
Find r such that -r**3/2 + 57*r**2 + 231*r/2 + 58 = 0.
-1, 116
Suppose -2*m**4/3 + 82*m**3/3 - 196*m**2 + 352*m/3 + 1024/3 = 0. Calculate m.
-1, 2, 8, 32
What is p in 3*p**3/4 + 262*p**2 + 349*p/4 = 0?
-349, -1/3, 0
Suppose 21*f**4/8 - 15*f**3 + 153*f**2/8 + 27*f/4 = 0. Calculate f.
-2/7, 0, 3
Find i, given that -4*i**4 - 312*i**3 + 1636*i**2 - 1992*i = 0.
-83, 0, 2, 3
Solve -4*y**3 - 32*y**2 - 28*y = 0 for y.
-7, -1, 0
Determine a so that -a**2/12 + a/12 + 14/3 = 0.
-7, 8
Suppose 4*l**2 - 144*l + 1232 = 0. Calculate l.
14, 22
Factor 4*x**5 - 32*x**4 + 60*x**3 + 32*x**2 - 64*x.
4*x*(x - 4)**2*(x - 1)*(x + 1)
What is i in -5*i**5 + 5*i**4 + 45*i**3 + 55*i**2 + 20*i = 0?
-1, 0, 4
Suppose -g**3/5 - 2*g**2 - 13*g/5 + 24/5 = 0. Calculate g.
-8, -3, 1
Factor -3*t**4 + 24*t**3 - 45*t**2.
-3*t**2*(t - 5)*(t - 3)
Factor -a**2/10 + 13*a/5 - 169/10.
-(a - 13)**2/10
Factor -2*w**4/9 + 22*w**3/9 - 20*w**2/9.
-2*w**2*(w - 10)*(w - 1)/9
Factor 2*z**3/5 + 252*z**2/5 + 7938*z/5.
2*z*(z + 63)**2/5
Factor -2*i**2 + 374*i + 3120.
-2*(i - 195)*(i + 8)
Solve n**2 + 120*n + 1296 = 0.
-108, -12
Let d**2/2 + 26*d + 338 = 0. Calculate d.
-26
Suppose 2*n**2 + 62*n = 0. Calculate n.
-31, 0
Factor -2*w**3/3 + 64*w**2/3 + 178*w + 156.
-2*(w - 39)*(w + 1)*(w + 6)/3
Factor -f**3/2 + 19*f**2 + 79*f/2 + 20.
-(f - 40)*(f + 1)**2/2
Factor 3*t**5/4 - 15*t**4/2 + 51*t**3/2 - 27*t**2 - 81*t/4 + 81/2.
3*(t - 3)**3*(t - 2)*(t + 1)/4
Solve -9*w**4 - 15*w**3 + 26*w**2 + 64*w + 32 = 0 for w.
-4/3, -1, 2
Find a such that -108*a**4 - 4572*a**3 - 44427*a**2 + 83820*a - 36300 = 0.
-22, 5/6
Find t, given that -2*t**3 + 30*t**2 - 46*t - 78 = 0.
-1, 3, 13
Factor 2*z**2/5 - 6*z.
2*z*(z - 15)/5
Factor 2*h**3/9 + 2*h**2/9 - 2*h/9 - 2/9.
2*(h - 1)*(h + 1)**2/9
Factor 242*h**4 - 17336*h**3 + 307304*h**2 + 113472*h + 10368.
2*(h - 36)**2*(11*h + 2)**2
Solve 13*d**4/5 + 3*d**3 - 10*d**2 - 12*d - 8/5 = 0 for d.
-2, -1, -2/13, 2
Let 3*z**4/4 - 3*z**3 - 27*z**2/4 + 12*z + 15 = 0. Calculate z.
-2, -1, 2, 5
Factor 5*w**3 - 240*w**2 - 5*w + 240.
5*(w - 48)*(w - 1)*(w + 1)
Factor 3*x**2/4 + 15*x/4 + 3.
3*(x + 1)*(x + 4)/4
Factor z**3/6 - 14*z**2/3 - 91*z/6 - 31/3.
(z - 31)*(z + 1)*(z + 2)/6
Factor -2*i**4/3 - 2104*i**3/3 - 2102*i**2/3.
-2*i**2*(i + 1)*(i + 1051)/3
Suppose -5*w**3 + 45*w**2 + 5*w - 45 = 0. What is w?
-1, 1, 9
Solve -6*l**5 - 70*l**4/3 - 22*l**3 + 38*l**2/3 + 28*l + 32/3 = 0.
-2, -1, -8/9, 1
Factor 4*v**4 - 20*v**3 + 12*v**2 + 20*v - 16.
4*(v - 4)*(v - 1)**2*(v + 1)
Factor -2*p**2 - 30*p.
-2*p*(p + 15)
Determine r so that -4*r**3 + 35*r**2 + 49*r + 10 = 0.
-1, -1/4, 10
Let -4*u**5 - 20*u**4 - 28*u**3 + 4*u**2 + 32*u + 16 = 0. What is u?
-2, -1, 1
Solve -3*a**4/7 - 9*a**3/7 + 12*a**2/7 = 0.
-4, 0, 1
Suppose 8*a**4/9 + 46*a**3/3 + 18*a**2 + 32*a/9 = 0. What is a?
-16, -1, -1/4, 0
Find n, given that -n**2/5 - 19*n/5 = 0.
-19, 0
Suppose q**2/12 + 109*q/6 + 36 = 0. Calculate q.
-216, -2
Let -2*i**2 + 80*i + 768 = 0. Calculate i.
-8, 48
Solve -4*t**4 + 1008*t**3 - 95256*t**2 + 4000752*t - 63011844 = 0.
63
Determine l so that l**5 + 46*l**4/3 + 18*l**3 - 32*l**2/3 - 19*l - 14/3 = 0.
-14, -1, -1/3, 1
Factor s**4/5 - 12*s**3/5 - 3*s**2/5 + 38*s/5 - 24/5.
(s - 12)*(s - 1)**2*(s + 2)/5
Factor -4*a**3 + 32*a**2 - 52*a + 24.
-4*(a - 6)*(a - 1)**2
Factor 2*c**5/13 + 198*c**4/13 + 4998*c**3/13 + 4802*c**2/13.
2*c**2*(c + 1)*(c + 49)**2/13
Factor 4*u**5 + 56*u**4 + 288*u**3 + 704*u**2 + 832*u + 384.
4*(u + 2)**4*(u + 6)
Factor 3*y**3 + 18*y**2 + 27*y + 12.
3*(y + 1)**2*(y + 4)
Factor -a**3 + 1432*a**2.
-a**2*(a - 1432)
Let -24*l**4 + 369*l**3 - 687*l**2 - 729*l + 351 = 0. Calculate l.
-1, 3/8, 3, 13
Let -5*m**4 - 9*m**3 + 42*m**2 - 8*m = 0. Calculate m.
