8*f/9 + 448/9.
2*(f - 16)*(f - 2)*(f + 7)/9
Determine w, given that 5*w**2 - 3210*w = 0.
0, 642
Factor h**3/5 - 38*h**2/5.
h**2*(h - 38)/5
Solve d**5/4 + 5*d**4/4 + d**3/4 - 17*d**2/4 - 11*d/2 - 2 = 0.
-4, -1, 2
Factor -5*a**2 + 180*a + 185.
-5*(a - 37)*(a + 1)
Solve 2*k**3/7 - 54*k**2/7 + 270*k/7 + 1350/7 = 0.
-3, 15
What is z in 45*z**2 + 24*z - 48 = 0?
-4/3, 4/5
Factor 20*r**4 + 88*r**3 + 80*r**2 - 24*r - 36.
4*(r + 1)**2*(r + 3)*(5*r - 3)
Factor 20*y**3 - 5560*y**2 - 5575*y - 1395.
5*(y - 279)*(2*y + 1)**2
Factor -2*q**4/3 - 2*q**3 - 4*q**2/3.
-2*q**2*(q + 1)*(q + 2)/3
Factor 25*x**3 + 260*x**2 + 725*x + 250.
5*(x + 5)**2*(5*x + 2)
Let -q**4/3 + 32*q**3/3 - 277*q**2/3 + 70*q + 600 = 0. Calculate q.
-2, 4, 15
Let -3*x**3/5 - 18*x**2 + 27*x/5 + 162 = 0. What is x?
-30, -3, 3
Find o, given that -3*o**5 + 126*o**4 - 1164*o**3 - 2718*o**2 - 1425*o = 0.
-1, 0, 19, 25
Factor 2*u**4 - 4*u**3 + 4*u - 2.
2*(u - 1)**3*(u + 1)
Factor -6*r**4 + 61*r**3/5 - 32*r**2/5 + r/5.
-r*(r - 1)**2*(30*r - 1)/5
Factor 5*w**5 + 60*w**4 + 185*w**3 + 210*w**2 + 80*w.
5*w*(w + 1)**2*(w + 2)*(w + 8)
Factor 5*d**3 - 570*d**2 - 1160*d.
5*d*(d - 116)*(d + 2)
Find r, given that -21*r**4/4 + 9*r**3 + 117*r**2/4 - 24*r - 9 = 0.
-2, -2/7, 1, 3
Factor -4*z**2 - 16072*z - 16144324.
-4*(z + 2009)**2
Let 7*a**4/2 - 22*a**3 + 101*a**2/2 - 50*a + 18 = 0. What is a?
1, 9/7, 2
Determine z so that -3*z**3/4 - 33*z**2 + 135*z/4 = 0.
-45, 0, 1
Factor -g**3/2 - 2*g**2 + 5*g/2.
-g*(g - 1)*(g + 5)/2
Determine j, given that 4*j**3 + 4*j**2 - 40*j + 32 = 0.
-4, 1, 2
Factor -66*j**2 - 225*j - 81.
-3*(j + 3)*(22*j + 9)
Factor 5*c**3 + 65*c**2 + 175*c - 245.
5*(c - 1)*(c + 7)**2
Factor -2*z**2/7 - 904*z/7 - 1800/7.
-2*(z + 2)*(z + 450)/7
Find n such that -4*n**3 - 788*n**2 - 8136*n + 8928 = 0.
-186, -12, 1
Let -2*b**3/11 + 26*b**2/11 + 212*b/11 + 304/11 = 0. Calculate b.
-4, -2, 19
Factor 3*q**2 + 66*q + 120.
3*(q + 2)*(q + 20)
Factor 5*r**5 + 140*r**4 + 390*r**3 + 380*r**2 + 125*r.
5*r*(r + 1)**3*(r + 25)
Factor -148*d**2 + 300*d - 8.
-4*(d - 2)*(37*d - 1)
Factor 5*o**3 + 2425*o**2 - 2430*o.
5*o*(o - 1)*(o + 486)
Factor -2*s**2/7 - 1844*s/7 - 425042/7.
-2*(s + 461)**2/7
Determine y so that -2*y**2/3 - 4424*y/3 - 2446472/3 = 0.
-1106
Solve -4*o**2 - 52*o - 168 = 0 for o.
-7, -6
Factor -2*r**2 + 66*r - 324.
-2*(r - 27)*(r - 6)
Let -y**2 + 99*y = 0. What is y?
0, 99
Let 4*s**3 - 8*s**2 + 4*s = 0. Calculate s.
0, 1
Factor 2*o**4/15 + 56*o**3/5 + 4616*o**2/15 + 15232*o/5 + 147968/15.
2*(o + 8)**2*(o + 34)**2/15
Factor -5*o**2 - 400*o.
-5*o*(o + 80)
Factor 3*a**5 - 216*a**4 - 2097*a**3 - 7158*a**2 - 10620*a - 5832.
3*(a - 81)*(a + 2)**3*(a + 3)
Factor r**3/4 + r**2/2 + r/4.
r*(r + 1)**2/4
Suppose 2*t**5/5 - 788*t**4/5 + 103748*t**3/5 - 4597576*t**2/5 + 858050*t + 8992364/5 = 0. Calculate t.
-1, 2, 131
Factor 2*i**3 + 20*i**2 - 2*i - 20.
2*(i - 1)*(i + 1)*(i + 10)
Factor 2*g**5/7 - 120*g**4/7 + 234*g**3/7 - 116*g**2/7.
2*g**2*(g - 58)*(g - 1)**2/7
Solve 5*m**4 - 20*m**3 = 0 for m.
0, 4
Find k, given that k**2 + 332*k + 27556 = 0.
-166
Let b**3/4 - 7*b**2/4 - 5*b/4 + 75/4 = 0. Calculate b.
-3, 5
Solve 35*z**5 - 55*z**4 - 355*z**3 + 375*z**2 = 0.
-3, 0, 1, 25/7
Factor -2*p**4 - 70*p**3 - 198*p**2 - 194*p - 64.
-2*(p + 1)**3*(p + 32)
Suppose -3*c**3/5 + 333*c**2/5 + 687*c/5 - 1017/5 = 0. Calculate c.
-3, 1, 113
Factor 3*v**2 + 2190*v - 2193.
3*(v - 1)*(v + 731)
Suppose 5*s**3/2 - 177*s**2/2 - 355*s + 156 = 0. Calculate s.
-4, 2/5, 39
Suppose n**4/5 + 11*n**3 - n**2/5 - 11*n = 0. Calculate n.
-55, -1, 0, 1
Factor -5*g**2 + 185*g - 1260.
-5*(g - 28)*(g - 9)
Factor -18*y**3/7 + 1112*y**2/7 - 17050*y/7 - 3844/7.
-2*(y - 31)**2*(9*y + 2)/7
Factor -2*l**5/3 + 14*l**4/3 - 16*l**3/3 - 32*l**2/3.
-2*l**2*(l - 4)**2*(l + 1)/3
What is a in 98*a**2/9 + 6580*a/9 + 110450/9 = 0?
-235/7
Determine k so that 3*k**4 - 132*k**3 + 1692*k**2 - 5280*k + 4800 = 0.
2, 20
Factor -n**5 - 4*n**4 - 3*n**3.
-n**3*(n + 1)*(n + 3)
What is l in -l**2/3 + 55*l/3 - 250/3 = 0?
5, 50
Let 10*m**3 - 2036*m**2 + 3224*m + 1616 = 0. Calculate m.
-2/5, 2, 202
Determine w so that 2*w**3 + 426*w**2 + 30246*w + 715822 = 0.
-71
Find q such that 3*q**3 + 6*q**2 - 12*q - 24 = 0.
-2, 2
Factor -2*y**5/7 - 166*y**4/7 - 3686*y**3/7 - 10082*y**2/7 - 9760*y/7 - 3200/7.
-2*(y + 1)**3*(y + 40)**2/7
Let 2*p**5/11 - 6*p**4 - 214*p**3/11 - 78*p**2/11 + 212*p/11 + 144/11 = 0. What is p?
-2, -1, 1, 36
Solve h**4/6 + 5*h**3/2 - 17*h**2/6 - 5*h/2 + 8/3 = 0.
-16, -1, 1
Find n such that -2*n**5/13 + 64*n**4/13 - 636*n**3/13 + 1432*n**2/13 + 5038*n/13 + 2904/13 = 0.
-1, 11, 12
Determine i so that -2*i**2/5 - 52*i/5 - 10 = 0.
-25, -1
Factor -3*h**2 + 702*h.
-3*h*(h - 234)
Factor f**2 + 54*f - 55.
(f - 1)*(f + 55)
Let 4*w**3 + 137*w**2 + 34*w = 0. What is w?
-34, -1/4, 0
Suppose -2*z**5/11 - 24*z**4/11 + 26*z**3/11 = 0. What is z?
-13, 0, 1
Factor m**3/3 + 4*m**2 - m/3 - 4.
(m - 1)*(m + 1)*(m + 12)/3
Find d, given that -2*d**2/7 + 82*d = 0.
0, 287
Find h, given that -h**5 + 8*h**4 + 18*h**3 - 92*h**2 + 103*h - 36 = 0.
-4, 1, 9
Factor d**3/7 + 19*d**2/7 - 4*d/7 - 76/7.
(d - 2)*(d + 2)*(d + 19)/7
Factor w**5/2 + 61*w**4 + 5041*w**3/2 + 36860*w**2 + 66400*w + 32000.
(w + 1)**2*(w + 40)**3/2
Factor 4*o**3/7 - 60*o**2/7.
4*o**2*(o - 15)/7
Factor -k**2/3 - k/3 + 10.
-(k - 5)*(k + 6)/3
Factor w**2/4 - 3*w/2 + 2.
(w - 4)*(w - 2)/4
Factor -4*d**2 + 804*d - 1592.
-4*(d - 199)*(d - 2)
Find o such that -3*o**5/8 + 24*o**4 - 663*o**3/2 - 1734*o**2 = 0.
-4, 0, 34
Determine a so that -a**3/9 + 67*a**2/9 - 256*a/9 + 28 = 0.
2, 63
Suppose -4*j**4 + 336*j**3 - 9408*j**2 + 87808*j = 0. What is j?
0, 28
Find z such that 55*z**5 + 1195*z**4 + 825*z**3 - 315*z**2 = 0.
-21, -1, 0, 3/11
Factor 2*f**2/3 - 19760*f/3 + 48807200/3.
2*(f - 4940)**2/3
Let -4*v**5 - 58*v**4 - 258*v**3 - 304*v**2 + 224*v = 0. Calculate v.
-7, -4, 0, 1/2
Determine y so that 36*y**2 - 44*y + 8 = 0.
2/9, 1
Factor -2*f**3/7 - 62*f**2/7 - 48*f/7 + 360/7.
-2*(f - 2)*(f + 3)*(f + 30)/7
Suppose 4*u**2 + 2180*u + 2176 = 0. What is u?
-544, -1
Find t such that -2*t**3/21 - 22*t**2/3 + 986*t/21 - 830/21 = 0.
-83, 1, 5
Let -5*n**5 + 10*n**4 + 195*n**3 + 340*n**2 + 160*n = 0. Calculate n.
-4, -1, 0, 8
Factor 3*o**3 + 39*o**2 - 192*o + 204.
3*(o - 2)**2*(o + 17)
Factor -h**2/5 - 2*h/5.
-h*(h + 2)/5
Find t, given that -3*t**2 - 132*t = 0.
-44, 0
Factor -44*o**3 - 116*o**2 + 48*o.
-4*o*(o + 3)*(11*o - 4)
Suppose n**2/3 - 4*n + 12 = 0. Calculate n.
6
Suppose -45*a**4/2 + 249*a**3/4 + 30*a**2 - 147*a + 36 = 0. Calculate a.
-3/2, 4/15, 2
Factor 51483*y**2 - 1965*y + 75/4.
3*(262*y - 5)**2/4
Find j such that 147*j**5 - 1386*j**4 + 201*j**3 + 3114*j**2 + 1596*j + 216 = 0.
-1, -2/7, 2, 9
Find n such that 2*n**5/5 + 18*n**4/5 - 14*n**3 + 6*n**2 + 68*n/5 - 48/5 = 0.
-12, -1, 1, 2
Find m, given that -m**2/4 + 33*m/4 - 8 = 0.
1, 32
Factor -2*h**4 - 26*h**3 - 94*h**2 - 70*h.
-2*h*(h + 1)*(h + 5)*(h + 7)
Determine g, given that 3*g**5/4 + 3*g**4/2 - 6*g**3 + 3*g**2/2 + 21*g/4 - 3 = 0.
-4, -1, 1
Let -2*z**2/9 - 4*z + 14 = 0. Calculate z.
-21, 3
Factor 4*b**5 - 44*b**4 + 156*b**3 - 196*b**2 + 80*b.
4*b*(b - 5)*(b - 4)*(b - 1)**2
Find l such that l**5 - 3*l**4 + 4*l**2 = 0.
-1, 0, 2
Let g**4 + 5*g**3 - g**2 - 5*g = 0. What is g?
-5, -1, 0, 1
What is r in 2*r**2 - 38*r + 96 = 0?
3, 16
Solve 4*a**3 + 348*a**2 + 1964*a + 1620 = 0 for a.
-81, -5, -1
Find w such that -w**2 + 265*w - 526 = 0.
2, 263
Factor -2*w**4/11 + 1498*w**3/11.
-2*w**3*(w - 749)/11
Factor 7*l**4 - 23*l**3 + 6*l**2 + 28*l - 8.
(l - 2)**2*(l + 1)*(7*l - 2)
Let j**3/4 + 7*j**2/2 + 49*j/4 = 0. What is j?
-7, 0
Solve -p**5/2 + 8*p**4 + 10*p**3 - 23*p**2 - 83*p/2 - 17 = 0 for p.
-1, 2, 17
Let 2*p**2/5 - 58*p/5 + 56/5 = 0. What is p?
1, 28
Find i, given that 6*i**4/7 - 24*i**3/7 - 114*i**2/7 - 12*i = 0.
-2, -1, 0, 7
Let -2*o**2 - 1536*o - 294912 = 0. What is o?
-384
Factor -12*o**2 - 105*o + 27.
-3*(o + 9)*(4*o - 1)
Factor -4*k**5 + 20*k**4 - 16*k**3.
-4*k**3*(k - 4)*(k - 1)
Factor 4*b**4 + 12*b**3 + 4*b**2 - 12*b - 8.
4*(b - 1)*(b + 1)**2*(b + 2)
Factor 2*q**3/7 - 18*q**2/7 + 48*q/7 - 40/7.
2*(q - 5)*(q - 2)**2/7
Solve t**5/6 + t**4/3 - 4*t**3/3 - 8*t**2/3 + 8*t/3 + 16/3 = 0 for t.
-2, 2
What is w in 3*w**5 - 42*w**4 - 144*w**3 - 150*w**2 - 51*w = 0?
-1, 0, 17
Factor 5*f**5 + 105*f**