Factor -2*q**5 + 580*q**4.
-2*q**4*(q - 290)
Find w such that 3*w**2/8 + 261*w/8 + 189/2 = 0.
-84, -3
Let m**3/4 + 3*m**2 + 9*m + 8 = 0. Calculate m.
-8, -2
Let c**3/5 + 28*c**2/5 - 25*c + 96/5 = 0. What is c?
-32, 1, 3
Suppose -a**2/4 + 245*a + 981/4 = 0. Calculate a.
-1, 981
What is v in 4*v**2 + 1656*v - 1660 = 0?
-415, 1
Let -t**5/7 + 6*t**4/7 + 25*t**3/7 + 18*t**2/7 = 0. Calculate t.
-2, -1, 0, 9
What is g in 2*g**5/3 - 64*g**4/3 + 428*g**3/3 + 1640*g**2/3 - 4318*g/3 + 2312/3 = 0?
-4, 1, 17
Determine f, given that -15*f**3 + 355*f**2 - 225*f - 115 = 0.
-1/3, 1, 23
Factor -4*v**2 + 2024*v - 256036.
-4*(v - 253)**2
Let -7*o**5/5 - 83*o**4 - 111*o**3/5 + 83*o**2 + 118*o/5 = 0. Calculate o.
-59, -1, -2/7, 0, 1
Factor -d**4/3 - d**3.
-d**3*(d + 3)/3
What is f in -6*f**3 + 40*f**2/3 - 26*f/3 + 4/3 = 0?
2/9, 1
Factor d**3/3 - 122*d**2/3 + 1155*d + 5292.
(d - 63)**2*(d + 4)/3
Factor k**4/2 - 11*k**3/2 + 21*k**2 - 32*k + 16.
(k - 4)**2*(k - 2)*(k - 1)/2
Find u such that -4*u**2 + 208*u + 432 = 0.
-2, 54
Factor m**3/5 + 29*m**2/5 + 28*m/5.
m*(m + 1)*(m + 28)/5
Find v, given that -3*v**4/2 + 24*v**3 - 45*v**2/2 = 0.
0, 1, 15
Factor l**4 + 1944*l**3 + 944784*l**2.
l**2*(l + 972)**2
Factor -3*w**4 + 6*w**2 - 3.
-3*(w - 1)**2*(w + 1)**2
Suppose 3*u**5/8 - 21*u**4/8 + 15*u**3/4 = 0. Calculate u.
0, 2, 5
Find w such that 5*w**2/2 + 24*w - 10 = 0.
-10, 2/5
Factor 180*w**3 - 8040*w**2 - 2695*w - 225.
5*(w - 45)*(6*w + 1)**2
Solve -2*n**2/5 - 2414*n/5 - 2412/5 = 0.
-1206, -1
Determine u, given that u**3/2 - 6*u**2 + 39*u/2 - 14 = 0.
1, 4, 7
Solve -15*z**3 + 25*z**2 + 20*z - 20 = 0 for z.
-1, 2/3, 2
Suppose 2*n**3 - 28*n**2 + 26*n = 0. Calculate n.
0, 1, 13
Factor -q**3 + 9162*q**2 - 27980748*q + 28484401464.
-(q - 3054)**3
Suppose 6*x**5/5 + 352*x**4/5 + 4544*x**3/5 - 18108*x**2/5 + 3410*x - 3844/5 = 0. What is x?
-31, 1/3, 1, 2
Factor -2*w**2/7 - 8*w - 56.
-2*(w + 14)**2/7
Factor -z**3 + 143*z**2/4 + 9*z.
-z*(z - 36)*(4*z + 1)/4
Suppose -3*o**5 + 6*o**4 + 171*o**3 - 174*o**2 - 336*o = 0. Calculate o.
-7, -1, 0, 2, 8
Determine h, given that 4*h**3 + 8*h**2 - 116*h - 120 = 0.
-6, -1, 5
Let -2*a**2/13 + 210*a/13 = 0. What is a?
0, 105
Find a, given that -4*a**5 - 452*a**4 + 468*a**3 + 1364*a**2 - 464*a - 912 = 0.
-114, -1, 1, 2
Determine u so that -3*u**3/4 - 135*u**2/4 + 3*u/4 + 135/4 = 0.
-45, -1, 1
Find p, given that -4*p**3 + 28*p**2 - 24*p = 0.
0, 1, 6
Factor c**2 - 376*c.
c*(c - 376)
Factor 4*k**2/5 + 118*k/3 + 98/15.
2*(k + 49)*(6*k + 1)/15
Find b, given that b**2 + 58*b + 265 = 0.
-53, -5
Factor 2*h**4/5 + 34*h**3/5 + 32*h**2 + 128*h/5.
2*h*(h + 1)*(h + 8)**2/5
Factor 4*y**2 + 18832*y + 22165264.
4*(y + 2354)**2
Find r such that 27*r**2 - 1995*r - 2250 = 0.
-10/9, 75
Solve 2*q**2/19 + 72*q/19 - 74/19 = 0 for q.
-37, 1
Let -8*u**5/3 + 22*u**4/3 - 10*u**3/3 - 4*u**2/3 = 0. Calculate u.
-1/4, 0, 1, 2
Solve -b**5 + 89*b**4 + 559*b**3 + 1039*b**2 + 570*b = 0.
-3, -2, -1, 0, 95
Suppose 4*y**4 - 192*y**3 + 1652*y**2 - 5160*y + 5472 = 0. Calculate y.
3, 4, 38
Solve -3*y**5/2 - 35*y**4/2 - 42*y**3 + 16*y**2 = 0 for y.
-8, -4, 0, 1/3
Let 52*t**2/7 - 4*t/7 = 0. Calculate t.
0, 1/13
Suppose -95*a**3 + 15*a**2 = 0. Calculate a.
0, 3/19
Factor 4*s**2 + 1368*s - 1372.
4*(s - 1)*(s + 343)
Factor -4*c**2/7 + 64*c/7 + 68/7.
-4*(c - 17)*(c + 1)/7
Factor -p**4/6 - 77*p**3/3 - 5929*p**2/6.
-p**2*(p + 77)**2/6
Factor -2*w**2/5 + 24*w/5 - 72/5.
-2*(w - 6)**2/5
Factor -5*m**2/6 - 85*m/3 - 100.
-5*(m + 4)*(m + 30)/6
Factor -4*a**5/3 - 40*a**4/3 - 64*a**3/3.
-4*a**3*(a + 2)*(a + 8)/3
Determine l, given that l**5/3 + 2*l**4/3 - l**3 = 0.
-3, 0, 1
Factor -3*x**3/5 - 153*x**2/5 - 2457*x/5 - 2535.
-3*(x + 13)**2*(x + 25)/5
Suppose l**2 - 354*l + 31329 = 0. Calculate l.
177
Determine c, given that 3*c**4 + 21*c**3 - 27*c**2 - 21*c + 24 = 0.
-8, -1, 1
Let 3*t**2 + 609*t = 0. Calculate t.
-203, 0
Solve 1593*y**4/8 + 483*y**3 + 357*y**2/2 + 18*y = 0.
-2, -2/9, -12/59, 0
Determine z so that 3*z**4/5 + 27*z**3/5 - 63*z**2/5 + 33*z/5 = 0.
-11, 0, 1
Determine w, given that -w**4/4 - 3*w**3/2 - 2*w**2 + 3*w/2 + 9/4 = 0.
-3, -1, 1
Suppose -3*n**4 + 270*n**3 - 267*n**2 = 0. Calculate n.
0, 1, 89
Factor -2*x**2/3 - 80*x/3 - 800/3.
-2*(x + 20)**2/3
Factor 2*u**3/17 - 384*u**2/17 + 18810*u/17 - 36100/17.
2*(u - 95)**2*(u - 2)/17
Factor -y**3/6 - 2*y**2 - 15*y/2 - 9.
-(y + 3)**2*(y + 6)/6
Factor 5*n**4 + 3250*n**3 + 528125*n**2.
5*n**2*(n + 325)**2
Factor -2*p**2/5 + 1774*p/5 - 1772/5.
-2*(p - 886)*(p - 1)/5
Solve d**2 - 1283*d + 1282 = 0 for d.
1, 1282
Find m such that -m**2 + 34*m - 264 = 0.
12, 22
Solve 4*w**2/7 + 78840*w/7 + 388484100/7 = 0.
-9855
Factor -q**5/7 - q**4/7 + 12*q**3/7.
-q**3*(q - 3)*(q + 4)/7
Find o, given that -4*o**2 - 16168*o - 16337764 = 0.
-2021
Factor x**5/2 - 2*x**3 + x**2 + 3*x/2 - 1.
(x - 1)**3*(x + 1)*(x + 2)/2
Solve -15*j**2 + 340*j + 115 = 0 for j.
-1/3, 23
Determine a so that a**4/2 + 4*a**3 + 17*a**2/2 + 5*a = 0.
-5, -2, -1, 0
Suppose 2*c**3 + 42*c**2 - 288*c - 728 = 0. What is c?
-26, -2, 7
Solve s**3/2 + 63*s**2/4 + 31*s/4 = 0 for s.
-31, -1/2, 0
Suppose 4*g**2/3 - 56*g/3 - 20 = 0. Calculate g.
-1, 15
Factor m**2/2 + 93*m/2 + 46.
(m + 1)*(m + 92)/2
Factor 2*z**3 - 12*z**2 - 2*z + 12.
2*(z - 6)*(z - 1)*(z + 1)
Suppose 2*p**5 - 453*p**4 + 25308*p**3 + 38987*p**2 + 228*p - 12996 = 0. Calculate p.
-1, 1/2, 114
What is l in l**3 + 70*l**2 - 293*l + 222 = 0?
-74, 1, 3
Suppose -4*c**5 - 20*c**4 - 36*c**3 - 28*c**2 - 8*c = 0. Calculate c.
-2, -1, 0
Suppose -4*f**2 + 600*f = 0. What is f?
0, 150
Determine g so that g**5/12 - 7*g**3/12 + g**2/2 = 0.
-3, 0, 1, 2
Factor 2*p**5/5 + 64*p**4/5 + 32*p**3 - 1280*p**2.
2*p**2*(p - 8)*(p + 20)**2/5
Determine y, given that 5*y**2 + 650*y + 21125 = 0.
-65
Find y such that 2*y**4/7 - 102*y**3/7 - 318*y**2/7 - 46*y - 108/7 = 0.
-1, 54
Factor -3*k**2 - 44436*k - 164546508.
-3*(k + 7406)**2
Solve -1029*d**3/5 + 233142*d**2/5 - 2634492*d - 3782616/5 = 0.
-2/7, 794/7
Solve 2*g**2/5 + 164*g/5 + 64 = 0 for g.
-80, -2
Find f such that 2*f**5/7 + 4*f**4/7 - 24*f**3/7 - 36*f**2/7 + 54*f/7 = 0.
-3, 0, 1, 3
What is o in 15*o**3 - 1506*o**2 + 38100*o - 15000 = 0?
2/5, 50
Factor 2*u**2/9 - 64*u/9.
2*u*(u - 32)/9
Let -2*g**3/9 + 260*g**2/3 + 262*g/3 - 1564/9 = 0. What is g?
-2, 1, 391
Let -2*u**2/7 - 164*u/7 - 162/7 = 0. Calculate u.
-81, -1
Factor -g**5/9 - 4*g**4/3 - 46*g**3/9 - 20*g**2/3 - 25*g/9.
-g*(g + 1)**2*(g + 5)**2/9
Factor c**3/9 + 17*c**2/9 + 16*c/9.
c*(c + 1)*(c + 16)/9
Factor -3*c**3/4 - 15*c**2 + 69*c - 72.
-3*(c - 2)**2*(c + 24)/4
Solve -2*d**5/7 - 34*d**4/7 + 16*d**3/7 + 1272*d**2/7 - 576*d + 3456/7 = 0 for d.
-12, 2, 3
Factor h**5/3 - 4*h**4/3 - 4*h**3/3 + 16*h**2/3.
h**2*(h - 4)*(h - 2)*(h + 2)/3
Find p such that 2*p**3/3 - 34*p**2/3 - 80*p/3 + 1792/3 = 0.
-7, 8, 16
Factor -14*g**3 - 486*g**2 + 644*g - 144.
-2*(g - 1)*(g + 36)*(7*g - 2)
Factor 14*v**2/5 - 38*v - 60.
2*(v - 15)*(7*v + 10)/5
Let -d**5/4 + 29*d**4/2 + 379*d**3/4 + 83*d**2 - 192*d = 0. Calculate d.
-4, -3, 0, 1, 64
Factor 3*d**5/2 - 3*d**4 - 9*d**3/2.
3*d**3*(d - 3)*(d + 1)/2
Solve -2*o**2/3 + 58*o/3 + 64 = 0 for o.
-3, 32
Solve j**2 - 168*j - 513 = 0 for j.
-3, 171
Factor -5*x**3/8 + 107*x**2/8 - 21*x/4.
-x*(x - 21)*(5*x - 2)/8
Factor -h**3/2 - 8*h**2 - 69*h/2 - 45.
-(h + 3)**2*(h + 10)/2
What is p in -9*p**5 - 573*p**4 - 370*p**3 + 510*p**2 + 379*p + 63 = 0?
-63, -1, -1/3, 1
Determine c, given that 2*c**4/15 + 8*c**3/5 - 26*c**2/15 = 0.
-13, 0, 1
Factor -2*s**3/17 - 18*s**2/17 - 30*s/17 - 14/17.
-2*(s + 1)**2*(s + 7)/17
Factor -v**5 - 9*v**4 - 29*v**3 - 43*v**2 - 30*v - 8.
-(v + 1)**3*(v + 2)*(v + 4)
Factor -3*g**5 - 228*g**4 - 4095*g**3 + 9126*g**2.
-3*g**2*(g - 2)*(g + 39)**2
Factor -3*f**2/8 + 87*f/8 + 840.
-3*(f - 64)*(f + 35)/8
Solve -3*c**2 + 24*c + 27 = 0 for c.
-1, 9
Factor 4*l**2/5 + 904*l + 4516/5.
4*(l + 1)*(l + 1129)/5
Factor -j**4 + 2*j**3 + 1092*j**2 - 4360*j + 4352.
-(j - 32)*(j - 2)**2*(j + 34)
Factor b**3/2 - 9*b**2/2 - 65*b + 144.
(b - 16)*(b - 2)*(b + 9)/2
Solve -5*h**2 - 35*h + 220 = 0 for h.
-11, 4
Find q such that q**2/2 - 24*q = 0.
0, 48
Find x, given that -5*x**5/2 - 83*x**4/6 - 47*x**3/2 - 85*x**2/6 - 2*x = 0.
-3, -4/3, -1, -1/5, 0
What is g in 4*g**2 + 5832*g + 5828 = 0?
-1457, -1
Suppose 2*r**5 - 22*r**4 - 222*r**3 - 514*r**2 - 460*