g**3 - 6*g**2 + 24*g + 64.
-(g - 4)*(g + 2)*(g + 8)
Determine b so that -4*b**3 + 32*b**2 - 28*b = 0.
0, 1, 7
Factor 15*q**2/2 + q/4 - 7/2.
(3*q - 2)*(10*q + 7)/4
Determine u, given that -2*u**3/3 + 8*u**2/3 + 34*u + 60 = 0.
-3, 10
Factor -2*g**2/7 - 8*g.
-2*g*(g + 28)/7
Factor 2*b**3/7 + 10*b**2/7 + 12*b/7.
2*b*(b + 2)*(b + 3)/7
Factor 3*u**4 - 27*u**3 - 45*u**2 + 159*u - 90.
3*(u - 10)*(u - 1)**2*(u + 3)
Factor k**2/6 - 721*k/6.
k*(k - 721)/6
Factor r**3/3 - 2*r**2/3 - 23*r/3 + 20.
(r - 4)*(r - 3)*(r + 5)/3
Determine a so that 11*a**5/2 - 45*a**4 + 269*a**3/2 - 177*a**2 + 94*a - 12 = 0.
2/11, 1, 2, 3
What is w in -5*w**4 - 470*w**3 - 16200*w**2 - 244000*w - 1360000 = 0?
-34, -20
What is s in 2*s**3/5 - 74*s**2 + 17296*s/5 - 16928/5 = 0?
1, 92
Factor -b**5/3 + 49*b**4/3 - 288*b**3 + 6104*b**2/3 - 8624*b/3 - 16464.
-(b - 14)**3*(b - 9)*(b + 2)/3
Factor 3*c**3 + 342*c**2 + 1320*c.
3*c*(c + 4)*(c + 110)
Solve m**2/4 - 2357*m/4 - 1179/2 = 0 for m.
-1, 2358
Factor u**4/10 + 3*u**3/5 + 9*u**2/10 - 2*u/5 - 6/5.
(u - 1)*(u + 2)**2*(u + 3)/10
Solve 4*r**4/3 - 26*r**3/3 - 46*r**2/3 - 16*r/3 = 0 for r.
-1, -1/2, 0, 8
Let -3*m**4 + 24*m**3 + 51*m**2 - 612*m + 540 = 0. What is m?
-5, 1, 6
Factor q**3/3 - 28*q**2/3 - 299*q/3 + 3174.
(q - 23)**2*(q + 18)/3
Factor d**2/4 + 73*d.
d*(d + 292)/4
Solve -32*y**5 + 176*y**4 + 318*y**3 + 124*y**2 + 14*y = 0.
-1, -1/4, 0, 7
Determine d so that -3*d**4/7 - 408*d**3/7 - 13869*d**2/7 + 408*d/7 + 13872/7 = 0.
-68, -1, 1
Factor 2*m**2 - 362*m + 716.
2*(m - 179)*(m - 2)
What is g in g**4/6 + 379*g**3/6 + 63*g**2 = 0?
-378, -1, 0
Determine f, given that -2*f**5/3 - 38*f**4/3 - 236*f**3/3 - 452*f**2/3 + 238*f/3 + 490/3 = 0.
-7, -5, -1, 1
Determine p so that p**2/7 - 24*p/7 - 256/7 = 0.
-8, 32
Factor c**2/4 + 7*c/2 - 15/4.
(c - 1)*(c + 15)/4
Find i, given that i**2 - 366*i - 367 = 0.
-1, 367
Suppose -6*x**5/7 + 66*x**4/7 + 54*x**3 - 30*x**2 - 948*x/7 + 720/7 = 0. What is x?
-4, -2, 1, 15
Suppose 3*i**5/4 - 5*i**4/4 - 11*i**3/4 + 21*i**2/4 - i - 1 = 0. Calculate i.
-2, -1/3, 1, 2
Suppose 4*p**5 - 88*p**4 + 676*p**3 - 2112*p**2 + 2304*p = 0. What is p?
0, 3, 8
Find k such that 2*k**5/13 - 4*k**4/13 - 8*k**3/13 + 4*k**2/13 + 6*k/13 = 0.
-1, 0, 1, 3
Find b, given that -2*b**3/3 + 670*b**2/3 - 17898*b - 136458 = 0.
-7, 171
Factor -25*h**4 + 555*h**3 - 2344*h**2 - 2148*h - 448.
-(h - 16)*(h - 7)*(5*h + 2)**2
Let -h**2/4 + 5*h - 51/4 = 0. Calculate h.
3, 17
Solve -x**5/5 + 7*x**4 - 287*x**3/5 - 359*x**2/5 + 288*x/5 + 324/5 = 0.
-1, 1, 18
Factor 2*x**2/19 - 66*x/19 - 68/19.
2*(x - 34)*(x + 1)/19
Determine o so that -4*o**3 - 76*o**2 - 376*o - 480 = 0.
-12, -5, -2
Let z**3/3 + 19*z**2 + 165*z - 3267 = 0. Calculate z.
-33, 9
Factor 5*c**3 - 17845*c**2 + 15931120*c - 15913280.
5*(c - 1784)**2*(c - 1)
Solve -x**5/5 - 23*x**4/5 - 99*x**3/5 - 169*x**2/5 - 128*x/5 - 36/5 = 0 for x.
-18, -2, -1
Solve -4*o**5/3 + 113*o**4/3 - 815*o**2/3 + 874*o/3 - 56 = 0 for o.
-3, 1/4, 1, 2, 28
Determine z so that 3*z**5 + 24*z**4 - 150*z**2 - 3*z + 126 = 0.
-7, -3, -1, 1, 2
Suppose -2*m**4/13 - 10*m**3/13 - 16*m**2/13 - 8*m/13 = 0. Calculate m.
-2, -1, 0
Factor -5*w**2/4 + 125*w/4 + 135/2.
-5*(w - 27)*(w + 2)/4
Factor -5*s**4/2 - 10*s**3 - 25*s**2/2 - 5*s.
-5*s*(s + 1)**2*(s + 2)/2
Find f such that 20*f**4 + 274*f**3 - 96*f**2 - 170*f - 28 = 0.
-14, -1/2, -1/5, 1
Suppose -61250*w**2 + 11200*w - 512 = 0. Calculate w.
16/175
Factor g**3/6 + 431*g**2/6 - 1087*g/3 + 436.
(g - 3)*(g - 2)*(g + 436)/6
Find z, given that 3*z**5 + 30*z**4 + 96*z**3 + 96*z**2 = 0.
-4, -2, 0
Determine q, given that -5*q**4/2 + 25*q**3/2 + 15*q**2/2 - 85*q/2 + 25 = 0.
-2, 1, 5
Factor 3*z**2 - 18*z - 21.
3*(z - 7)*(z + 1)
Determine u so that 3*u**3 - 57*u**2 - 60*u = 0.
-1, 0, 20
Suppose 8*g**3/9 + 74*g**2/9 - 124*g/3 + 26 = 0. Calculate g.
-13, 3/4, 3
Factor -3*f**3 + 132*f**2 + 564*f + 576.
-3*(f - 48)*(f + 2)**2
Find i, given that 35*i**2 + 605*i + 170 = 0.
-17, -2/7
Factor -15*j**4 + 125*j**3 - 220*j**2 + 60*j.
-5*j*(j - 6)*(j - 2)*(3*j - 1)
Factor r**3 + 1308*r**2 - 2619*r + 1310.
(r - 1)**2*(r + 1310)
Suppose -m**2/3 + 101*m/6 + 17/2 = 0. Calculate m.
-1/2, 51
Let 2*k**5/7 - 24*k**4/7 - 36*k**3/7 + 136*k**2/7 - 78*k/7 = 0. Calculate k.
-3, 0, 1, 13
What is k in -15*k**4/7 + 51*k**3/7 + 477*k**2/7 - 723*k/7 + 30 = 0?
-5, 2/5, 1, 7
Factor 2*l**5/13 + 288*l**4/13 + 13824*l**3/13 + 221184*l**2/13.
2*l**2*(l + 48)**3/13
Suppose 4*y**5/3 - 16*y**4/3 + 4*y**3 + 16*y**2/3 - 16*y/3 = 0. What is y?
-1, 0, 1, 2
Determine x so that 3*x**2 - 5730*x + 2736075 = 0.
955
Factor 135*x**3 + 750*x**2 - 1295*x + 490.
5*(x + 7)*(3*x - 2)*(9*x - 7)
Solve -24*s**5 + 398*s**4 + 682*s**3/3 - 3028*s**2/3 + 1784*s/3 - 272/3 = 0 for s.
-2, 1/4, 2/3, 17
Factor -d**3 + 6*d**2 + 15*d - 100.
-(d - 5)**2*(d + 4)
Factor -2*p**2 + 74*p + 156.
-2*(p - 39)*(p + 2)
Suppose -4*o**5 + 20*o**4 + 32*o**3 - 160*o**2 - 64*o + 320 = 0. What is o?
-2, 2, 5
Factor 8*q**3 - 3*q**2 - 47*q + 42.
(q - 2)*(q - 1)*(8*q + 21)
Factor -m**4 + 596*m**3 - 133206*m**2 + 13231796*m - 492884401.
-(m - 149)**4
Factor -d**2/6 + 409*d/3 - 817/6.
-(d - 817)*(d - 1)/6
Suppose 2*m**5 - 2*m**4 - 24*m**3 = 0. What is m?
-3, 0, 4
Factor -5*c**3 + 1925*c**2 - 3835*c + 1915.
-5*(c - 383)*(c - 1)**2
Factor -150*t**3 + 105*t**2 - 18*t.
-3*t*(5*t - 2)*(10*t - 3)
Let 7*o**4/2 - 55*o**3 - 632*o**2 - 1520*o - 384 = 0. Calculate o.
-4, -2/7, 24
What is m in -196*m**4/9 - 168*m**3 + 148*m**2/3 - 32*m/9 = 0?
-8, 0, 1/7
Factor f**4/7 - 6*f**3/7 - 107*f**2/7 + 816*f/7 - 704/7.
(f - 8)**2*(f - 1)*(f + 11)/7
Determine l so that -3*l**2 + 13944*l - 16202928 = 0.
2324
Suppose -3*u**5 + 3*u**4 + 18*u**3 - 12*u**2 - 24*u = 0. What is u?
-2, -1, 0, 2
Factor 112*g**2 + 333*g - 9.
(g + 3)*(112*g - 3)
Suppose -15*z**2 - 7475*z + 4990 = 0. Calculate z.
-499, 2/3
Solve -4*c**3 + 1836*c**2 - 5480*c + 3648 = 0.
1, 2, 456
Determine h, given that -3*h**5 - 30*h**4 - 81*h**3 - 54*h**2 = 0.
-6, -3, -1, 0
Factor -2*u**2/7 - 74*u/7 - 72/7.
-2*(u + 1)*(u + 36)/7
What is i in 2*i**2 - 28*i + 98 = 0?
7
What is r in -2*r**3/13 + 4*r**2/13 + 240*r/13 = 0?
-10, 0, 12
What is o in -3*o**4 + 39*o**3 + 87*o**2 + 45*o = 0?
-1, 0, 15
Factor -2*u**3 - 6*u**2 - 4*u.
-2*u*(u + 1)*(u + 2)
Factor -4*a**4 - 28*a**3 + 2700*a**2 - 30132*a + 99144.
-4*(a - 9)**3*(a + 34)
Suppose 2*a**3/3 - 28*a**2/3 + 88*a/3 - 80/3 = 0. What is a?
2, 10
Find m, given that -m**5/6 - 103*m**4/3 + 212*m**3 = 0.
-212, 0, 6
Factor n**5/4 - 7*n**4/4 - 27*n**3/4 - 29*n**2/4 - 5*n/2.
n*(n - 10)*(n + 1)**3/4
Let 3*d**3 - 3*d**2 - 3*d + 3 = 0. Calculate d.
-1, 1
Determine y, given that 4*y**3/3 - 1628*y**2/3 + 166460*y/3 - 164836/3 = 0.
1, 203
Let -4*a**3/3 + 16*a/3 = 0. Calculate a.
-2, 0, 2
Factor y**2/5 + 19*y/5.
y*(y + 19)/5
Find g, given that -g**5/5 + 22*g**4/5 - 18*g**3/5 - 64*g**2/5 + 19*g/5 + 42/5 = 0.
-1, 1, 2, 21
Let -p**3/3 + 4*p/3 = 0. Calculate p.
-2, 0, 2
Factor 5*a**5 + 470*a**4 - 520*a**3 - 4330*a**2 - 5245*a - 1900.
5*(a - 4)*(a + 1)**3*(a + 95)
Factor v**3/6 + 421*v**2/6 - v/6 - 421/6.
(v - 1)*(v + 1)*(v + 421)/6
Determine x so that x**5/2 - 5*x**4/2 + 5*x**3/2 + 5*x**2/2 - 3*x = 0.
-1, 0, 1, 2, 3
Find x, given that -5*x**4 + 7080*x**3 - 2513390*x**2 + 5005560*x - 2499245 = 0.
1, 707
Factor 2*i**4 + 54*i**3 - 1434*i**2 + 2698*i - 1320.
2*(i - 15)*(i - 1)**2*(i + 44)
Factor -4*v**2 + 652*v - 648.
-4*(v - 162)*(v - 1)
Factor -2*c**3 - 6034*c**2 - 4548126*c + 4554162.
-2*(c - 1)*(c + 1509)**2
Solve -a**3/4 - 218*a**2 - 47524*a = 0 for a.
-436, 0
Factor 3*i**4 - 921*i**3 + 68310*i**2 + 370656*i - 438048.
3*(i - 156)**2*(i - 1)*(i + 6)
Factor -k**5/2 - k**4/2 + k**3/2 + k**2/2.
-k**2*(k - 1)*(k + 1)**2/2
Factor 4*w**4 + 12*w**3 - 4*w**2 - 12*w.
4*w*(w - 1)*(w + 1)*(w + 3)
Let -53*v**2 + 377*v - 42 = 0. What is v?
6/53, 7
Find k such that 32*k**2 - 28*k - 4 = 0.
-1/8, 1
Suppose 2*a**3/9 - 16*a**2/9 - 40*a/9 = 0. Calculate a.
-2, 0, 10
Factor 5*r**4 - 440*r**3 + 10910*r**2 - 54120*r + 75645.
5*(r - 41)**2*(r - 3)**2
What is h in 3*h**5/4 - 3201*h**4/4 - 3207*h**3/4 + 3201*h**2/4 + 801*h = 0?
-1, 0, 1, 1068
Solve -5*z**3 + 60*z**2 - 195*z + 140 = 0 for z.
1, 4, 7
Factor -3*f**4 - 57*f**3 - 54*f**2.
-3*f**2*(f + 1)*(f + 18)
Suppose 34*i**2 - 584*i/3 + 34/3 = 0. Calculate i.
1/17, 17/3
Find m such that -49*m**5 -