, 2
Determine h, given that -5*h**2 - 185*h = 0.
-37, 0
Let -3*q**4 + 6*q**3 + 24*q**2 - 54*q + 27 = 0. Calculate q.
-3, 1, 3
Factor 2*f**2/17 + 1926*f/17 - 3860/17.
2*(f - 2)*(f + 965)/17
Solve -y**5/5 - 7*y**4/5 + 3*y**3/5 + 63*y**2/5 + 54*y/5 = 0.
-6, -3, -1, 0, 3
Solve -36*w**5 + 820*w**4 + 1948*w**3 + 1292*w**2 + 200*w = 0.
-1, -2/9, 0, 25
Find q, given that -2*q**2/15 + 4076*q/15 - 1358/5 = 0.
1, 2037
Factor -2*x**4/9 + 18*x**3 - 160*x**2/9.
-2*x**2*(x - 80)*(x - 1)/9
Let s**3/6 - s/2 + 1/3 = 0. Calculate s.
-2, 1
Factor -3*f**4 - 387*f**3 - 9405*f**2 + 480975*f + 17968500.
-3*(f - 36)*(f + 55)**3
Find j, given that j**3/3 + 17*j**2 - 52*j/3 = 0.
-52, 0, 1
Factor 2*c**2/5 + 158*c + 3128/5.
2*(c + 4)*(c + 391)/5
Suppose 3*b**4 + 18*b**3 + 36*b**2 + 24*b = 0. Calculate b.
-2, 0
Suppose -7*n**4/3 + 80*n**3 + 7*n**2/3 - 80*n = 0. Calculate n.
-1, 0, 1, 240/7
Factor -3*p**3/7 + 18*p**2/7 - 15*p/7.
-3*p*(p - 5)*(p - 1)/7
Factor 3*f**2/2 - 322*f - 215/2.
(f - 215)*(3*f + 1)/2
Suppose r**3 + 67*r**2 + 66*r = 0. Calculate r.
-66, -1, 0
Factor 2*z**4/3 + 22*z**3/3 + 38*z**2/3 + 6*z.
2*z*(z + 1)**2*(z + 9)/3
Determine q so that -3*q**2 + 609*q - 2970 = 0.
5, 198
Factor -18*u**3/5 + 78*u**2/5 - 22*u + 10.
-2*(u - 1)*(3*u - 5)**2/5
Let -y**4 + 135*y**3 - 4329*y**2 - 16767*y + 85698 = 0. What is y?
-6, 3, 69
Factor 2*z**3/15 - 64*z**2/3 + 106*z/5.
2*z*(z - 159)*(z - 1)/15
Factor -u**3 + 111*u**2 + 112*u.
-u*(u - 112)*(u + 1)
Find q, given that -q**2 + 20*q - 19 = 0.
1, 19
Determine n so that -28*n**4 - 2052*n**3 - 17916*n**2 + 14452*n + 5544 = 0.
-63, -11, -2/7, 1
Determine u so that -2*u**4/5 - 22*u**3/5 - 78*u**2/5 - 18*u = 0.
-5, -3, 0
Suppose g**5/2 + 3*g**4/2 - 7*g**3 - 24*g**2 - 16*g = 0. Calculate g.
-4, -2, -1, 0, 4
Factor -3*u**4 + 18*u**3 - 27*u**2 - 12*u + 36.
-3*(u - 3)*(u - 2)**2*(u + 1)
Find l, given that 13*l**5 - 180*l**4 + 453*l**3 + 1634*l**2 - 5376*l - 864 = 0.
-3, -2/13, 4, 9
Factor -2*n**3 - 916*n**2 - 5442*n - 8136.
-2*(n + 3)**2*(n + 452)
Solve 5*x**5 - 140*x**4 + 130*x**3 + 140*x**2 - 135*x = 0.
-1, 0, 1, 27
Factor -x**4 - 60*x**3 - 379*x**2 - 408*x + 848.
-(x - 1)*(x + 4)**2*(x + 53)
Let 2*p**5/5 + 4*p**4 + 2*p**3 - 16*p**2 - 72*p/5 = 0. Calculate p.
-9, -2, -1, 0, 2
What is a in -a**3/2 + 6*a**2 - 29*a/2 + 9 = 0?
1, 2, 9
Find u, given that -u**3 + 15*u**2 - 62*u + 72 = 0.
2, 4, 9
Determine n so that 5*n**5 + 22540*n**4 + 25402580*n**3 = 0.
-2254, 0
Factor 2*b**2 + 56*b + 150.
2*(b + 3)*(b + 25)
Factor 32*d**2 + 12*d/5.
4*d*(40*d + 3)/5
Factor -h**3/8 + 9*h**2/4 - 15*h/2 + 7.
-(h - 14)*(h - 2)**2/8
Find u such that -41*u**3/5 - 42*u**2/5 - u/5 = 0.
-1, -1/41, 0
Determine v so that -15*v**5 - 357*v**4 - 1392*v**3/5 - 276*v**2/5 = 0.
-23, -2/5, 0
Suppose w**3 + 27*w**2 + 216*w + 432 = 0. What is w?
-12, -3
Suppose -4*p**5 + 4200*p**4 - 1115028*p**3 + 6577216*p**2 - 9826128*p + 4359744 = 0. Calculate p.
1, 4, 522
Factor -x**4 - 19*x**3 + 3*x**2 + 59*x + 38.
-(x - 2)*(x + 1)**2*(x + 19)
Solve 5*b**2 + 3580*b + 640820 = 0 for b.
-358
Factor h**5/5 - 3*h**3/5 - 2*h**2/5.
h**2*(h - 2)*(h + 1)**2/5
Let -y**2 - 54*y + 55 = 0. What is y?
-55, 1
Suppose 2*v**2 + 34*v - 76 = 0. Calculate v.
-19, 2
Find q, given that 2*q**5 - 4*q**4 - 92*q**3 + 184*q**2 + 810*q - 900 = 0.
-6, -3, 1, 5
Determine l, given that -5*l**4 - 90*l**3 - 75*l**2 + 170*l = 0.
-17, -2, 0, 1
Let -4*p**5 - 1904*p**4 - 303364*p**3 - 16378280*p**2 - 31854064*p - 15777248 = 0. What is p?
-158, -1
Solve 3*t**4/4 + 15*t**3/4 + 3*t**2/4 - 63*t/4 - 27/2 = 0 for t.
-3, -1, 2
Solve -3*m**3/4 + 4377*m**2 = 0.
0, 5836
Determine t, given that -2*t**4 + 2680*t**3 - 903136*t**2 + 3569792*t = 0.
0, 4, 668
Factor -2*f**4 + 2102*f**3 - 737100*f**2 + 86485000*f - 85750000.
-2*(f - 350)**3*(f - 1)
Suppose -3*n**3/8 - 3*n**2/4 + 33*n/8 + 9/2 = 0. Calculate n.
-4, -1, 3
What is k in 5*k**2 - 80 = 0?
-4, 4
Solve -4*m**3/5 + 52*m**2/5 - 64*m/5 - 768/5 = 0 for m.
-3, 8
Determine w, given that -3*w**4 - 3*w**3 + 99*w**2 - 189*w = 0.
-7, 0, 3
Factor 2*g**2 + 42*g - 44.
2*(g - 1)*(g + 22)
Determine y so that -y**2/6 + 4*y/3 - 5/2 = 0.
3, 5
Factor -2*b**4/7 + 4*b**3/7 - 2*b**2/7.
-2*b**2*(b - 1)**2/7
Factor -5*z**4 + 110*z**3 + 115*z**2.
-5*z**2*(z - 23)*(z + 1)
Factor 5*y**4/6 - 679*y**3/3 - 272*y**2/3.
y**2*(y - 272)*(5*y + 2)/6
Let 10*x**4/13 + 14*x**3/13 - 48*x**2/13 - 40*x/13 + 64/13 = 0. What is x?
-2, 1, 8/5
What is u in -4*u**2 + 16 = 0?
-2, 2
Factor 2*b**3/9 - 28*b**2/9 + 98*b/9 - 8.
2*(b - 9)*(b - 4)*(b - 1)/9
Find y, given that y**2/10 - 1037*y/10 + 518/5 = 0.
1, 1036
Factor -2*l**4/13 + 4*l**3 - 50*l**2/13.
-2*l**2*(l - 25)*(l - 1)/13
Factor -18*p**5/5 - 1354*p**4/5 - 6810*p**3 - 57750*p**2 - 12500*p.
-2*p*(p + 25)**3*(9*p + 2)/5
Factor 2*j**3/13 + 10*j**2/13 + 4*j/13 - 16/13.
2*(j - 1)*(j + 2)*(j + 4)/13
Factor g**2/3 - 323*g/3 + 1276/3.
(g - 319)*(g - 4)/3
Find s such that -243*s**2 - 1464*s - 36 = 0.
-6, -2/81
Let 2*u**3/9 + 8*u**2/3 + 58*u/9 + 4 = 0. What is u?
-9, -2, -1
Suppose -15*c**2/8 + 231*c/8 + 18 = 0. What is c?
-3/5, 16
Solve -p**5 - 12*p**4 + p**3 + 12*p**2 = 0.
-12, -1, 0, 1
Factor 2*o**4 + 4*o**3 - 4*o - 2.
2*(o - 1)*(o + 1)**3
Find t, given that -22*t**3 + 196*t**2 + 18*t = 0.
-1/11, 0, 9
Factor -605*h**3 - 440*h**2 - 80*h.
-5*h*(11*h + 4)**2
Find f such that 2*f**2/5 - 62*f/5 + 216/5 = 0.
4, 27
Factor p**4/4 + 3*p**3/2 - 35*p**2/4 + 12*p - 5.
(p - 2)*(p - 1)**2*(p + 10)/4
Factor 5*x**5 + 55*x**4 + 225*x**3 + 405*x**2 + 270*x.
5*x*(x + 2)*(x + 3)**3
Factor d**3/4 + 3*d**2/2.
d**2*(d + 6)/4
Find d such that 6*d**5/19 - 32*d**4/19 + 24*d**3/19 + 32*d**2/19 = 0.
-2/3, 0, 2, 4
Determine f, given that 4*f**5/3 - 109*f**3/3 + 72*f**2 + 9*f - 18 = 0.
-6, -1/2, 1/2, 3
Find u such that -4*u**3/7 - 92*u**2/7 + 576*u/7 + 16848/7 = 0.
-18, 13
Factor m**5 + 24*m**4 + 165*m**3 + 242*m**2.
m**2*(m + 2)*(m + 11)**2
Factor k**5/2 + 393*k**4 + 784*k**3 - k**2 - 1569*k/2 - 392.
(k - 1)*(k + 1)**3*(k + 784)/2
Let -q**5/2 - 5*q**4/2 - 7*q**3/2 + q**2/2 + 4*q + 2 = 0. Calculate q.
-2, -1, 1
What is i in -2*i**5/5 + 26*i**4/5 - 84*i**3/5 + 16*i**2/5 + 128*i/5 = 0?
-1, 0, 2, 4, 8
Factor 5*l**5 + 5*l**4 - 10*l**3.
5*l**3*(l - 1)*(l + 2)
Solve -3*f**2 + 8697*f - 8694 = 0.
1, 2898
Let 2*l**5/9 - 10*l**4/3 = 0. What is l?
0, 15
Solve 5*g**4 - 95*g**3 - 330*g**2 = 0.
-3, 0, 22
Solve -2*o**3 + 66*o**2 - 270*o - 1458 = 0.
-3, 9, 27
Solve -r**4 + 6*r**3 + 24*r**2 - 224*r + 384 = 0 for r.
-6, 4
Factor 288*h**4/11 + 48*h**3 - 94*h**2/11 + 4*h/11.
2*h*(h + 2)*(12*h - 1)**2/11
Factor u**2 - 228*u - 229.
(u - 229)*(u + 1)
What is n in -3*n**2 + 234*n - 4563 = 0?
39
Factor 3*z**4/8 + 7*z**3/4 - 25*z**2/8 - z/2 + 3/2.
(z - 1)**2*(z + 6)*(3*z + 2)/8
Factor -s**3 - 15*s**2 + 33*s - 17.
-(s - 1)**2*(s + 17)
Determine k, given that -2*k**2/3 + 58*k + 176/3 = 0.
-1, 88
Solve -64*h**4 - 1024*h**3 - 1788*h**2 + 64*h + 112 = 0 for h.
-14, -2, -1/4, 1/4
Solve 1024*a**2/3 - 1408*a/3 + 484/3 = 0.
11/16
Let 105*x**5 - 725*x**4 - 1855*x**3 - 1115*x**2 - 90*x = 0. What is x?
-1, -2/21, 0, 9
Solve -f**4 - 53*f**3 + f**2 + 53*f = 0.
-53, -1, 0, 1
What is a in -2*a**3 + 8652*a**2 - 12476184*a + 5996885776 = 0?
1442
Factor 6*i**2 - 94*i + 60.
2*(i - 15)*(3*i - 2)
Factor -b**4/5 + 278*b**3/5 - 277*b**2/5.
-b**2*(b - 277)*(b - 1)/5
Factor q**2/8 - 9*q/4 - 63/8.
(q - 21)*(q + 3)/8
Determine j, given that 25*j**3/2 + 2255*j**2/2 - 908*j + 182 = 0.
-91, 2/5
Factor 9*r**3/4 - 1677*r**2/4 - 1121*r/4 - 187/4.
(r - 187)*(3*r + 1)**2/4
Let 2*b**5/21 - 2*b**4/3 + 4*b**3/3 - 16*b**2/21 = 0. What is b?
0, 1, 2, 4
Suppose -3*p**2 + 630*p = 0. Calculate p.
0, 210
Determine i so that -2*i**2/13 + 36*i/13 + 486/13 = 0.
-9, 27
Let -15*u**4 + 20*u**3 + 10*u**2 - 20*u + 5 = 0. Calculate u.
-1, 1/3, 1
Suppose 4*b**5 + 460*b**4 + 19720*b**3 + 370040*b**2 + 2438900*b - 2829124 = 0. What is b?
-29, 1
What is d in 3*d**4 + 45*d**3 - 105*d**2 - 45*d + 102 = 0?
-17, -1, 1, 2
Factor 3*b**2/2 + 183*b/8 - 18.
3*(b + 16)*(4*b - 3)/8
Factor 5*v**3 - 355*v**2 + 6475*v - 6125.
5*(v - 35)**2*(v - 1)
Find n such that 2*n**5/9 - 2*n**4/3 + 4*n**3/9 = 0.
0, 1, 2
Factor 2*p**4 + 15*p**3/2 + 4*p**2 - 3*p/2.
p*(p + 1)*(p + 3)*(4*p - 1)/2
Factor -j**3/4 + 3*j**2/4 + 61*j/4 - 63/4.
-(j - 9)*(j - 1)*(j + 7)/4
Solve 3*z**3 - z**2 - 23*z + 21 = 0 for z.
-3, 1, 7/3