-4, 29
Let c**5/5 - 36*c**4/5 + 388*c**3/5 - 1152*c**2/5 + 1024*c/5 = 0. What is c?
0, 2, 16
Determine l so that 5*l**3/2 - 1065*l**2/2 - 2145*l/2 - 1075/2 = 0.
-1, 215
What is v in v**5/3 + v**4/3 - v**3 - v**2/3 + 2*v/3 = 0?
-2, -1, 0, 1
Factor -4*x**3 + 20*x**2 + 4*x - 20.
-4*(x - 5)*(x - 1)*(x + 1)
Determine c, given that -c**3/7 - 4*c**2/7 + 3*c/7 + 18/7 = 0.
-3, 2
Factor c**3/3 - 230*c**2/3 + 908*c/3 - 904/3.
(c - 226)*(c - 2)**2/3
Suppose 2*y**5 - 50*y**3 + 120*y**2 - 72*y = 0. What is y?
-6, 0, 1, 2, 3
Find y such that -2*y**3/3 - 176*y**2/9 + 2282*y/9 + 260/3 = 0.
-39, -1/3, 10
Find n such that -3*n**5/5 - 33*n**4/5 + 36*n**3/5 + 1296*n**2/5 + 2592*n/5 - 3888/5 = 0.
-6, 1, 6
Factor 2*k**2 - 1356*k - 1358.
2*(k - 679)*(k + 1)
Factor 3*h**2/8 + 57*h/4.
3*h*(h + 38)/8
Factor -8*c**3/5 - 11*c**2/5 + 157*c/5 + 12.
-(c - 4)*(c + 5)*(8*c + 3)/5
Factor 2*p**3/9 - 116*p**2/3 + 230*p/3 - 344/9.
2*(p - 172)*(p - 1)**2/9
Let 4*b**3 - 1048*b**2 + 68644*b = 0. What is b?
0, 131
What is w in -2*w**4 + 4*w**3 + 22*w**2 - 24*w = 0?
-3, 0, 1, 4
Let 3*i**4 - 12*i**3 - 9*i**2 + 54*i = 0. What is i?
-2, 0, 3
Suppose 4*h**3 + 4*h**2 - 324*h - 324 = 0. Calculate h.
-9, -1, 9
Factor n**5 - 193*n**4 + 12286*n**3 - 249470*n**2 - 536575*n - 274625.
(n - 65)**3*(n + 1)**2
Solve c**5/5 - 6*c**4/5 - 3*c**3/5 + 52*c**2/5 - 12*c = 0 for c.
-3, 0, 2, 5
Determine o, given that 4*o**5 - 133*o**4 + 1581*o**3 - 7823*o**2 + 13475*o - 2904 = 0.
1/4, 3, 8, 11
Factor k**2/3 + 436*k + 142572.
(k + 654)**2/3
Factor t**4/3 + 11*t**3/3 + 40*t**2/3 + 16*t.
t*(t + 3)*(t + 4)**2/3
Find c such that -3*c**4/5 + 9*c**3/5 + 54*c**2/5 + 12*c/5 - 72/5 = 0.
-2, 1, 6
Suppose -u**2/2 + 757*u/2 - 378 = 0. What is u?
1, 756
What is q in 27*q**3 + 156*q**2 - 225*q + 42 = 0?
-7, 2/9, 1
What is g in -4*g**4 + 1536*g**3 + 3088*g**2 = 0?
-2, 0, 386
Suppose -6*i**3/7 + 66*i**2/7 = 0. What is i?
0, 11
Factor 2*t**2 + 4*t - 6.
2*(t - 1)*(t + 3)
Factor -4*p**2 - 20*p + 416.
-4*(p - 8)*(p + 13)
Factor 100*o**3 + 196*o**2 - 8*o.
4*o*(o + 2)*(25*o - 1)
Solve -m**2/4 - 5*m + 21/4 = 0 for m.
-21, 1
What is d in -3*d**2 - 21*d - 30 = 0?
-5, -2
Factor -2*u**3/15 + 176*u**2/15 - 3872*u/15.
-2*u*(u - 44)**2/15
Suppose -4*b**3 + 64*b**2 + 340*b - 400 = 0. Calculate b.
-5, 1, 20
Factor 3*p**3/4 - 273*p**2/2 + 6345*p - 12150.
3*(p - 90)**2*(p - 2)/4
Factor -3*f**2 + 1005*f.
-3*f*(f - 335)
Factor 5*o**3/6 - 35*o**2/2 - 55*o/3.
5*o*(o - 22)*(o + 1)/6
Factor 2*r**4 - 20*r**3 + 46*r**2 - 28*r.
2*r*(r - 7)*(r - 2)*(r - 1)
Find n, given that -2*n**2/11 + 92*n/11 - 90/11 = 0.
1, 45
Find n such that 4*n**2/5 - 28*n/5 + 24/5 = 0.
1, 6
Find m, given that -2*m**4/11 + 12*m**3/11 - 16*m**2/11 - 12*m/11 + 18/11 = 0.
-1, 1, 3
Find i such that 5*i**4 + 70*i**3/3 + 95*i**2/3 + 40*i/3 = 0.
-8/3, -1, 0
Find c, given that 12*c**3 + 88*c**2 - 304*c + 160 = 0.
-10, 2/3, 2
Factor s**5/5 + 4*s**4/5 + 3*s**3/5 - 4*s**2/5 - 4*s/5.
s*(s - 1)*(s + 1)*(s + 2)**2/5
Let a**4/9 - 62*a**3/9 + 179*a**2/3 - 892*a/9 + 416/9 = 0. What is a?
1, 8, 52
Factor -2*x**2/7 + 38*x/7 - 96/7.
-2*(x - 16)*(x - 3)/7
Determine v so that -2*v**2 + 116*v - 1034 = 0.
11, 47
Find o, given that o**3/4 + 23*o**2/2 + 697*o/4 + 867 = 0.
-17, -12
Factor l**2/4 - 17*l - 72.
(l - 72)*(l + 4)/4
Factor y**5/2 + 10*y**4/3 - 7*y**3/6.
y**3*(y + 7)*(3*y - 1)/6
Solve -2*g**2/5 + 402*g/5 - 796/5 = 0.
2, 199
What is j in -j**3/11 + 47*j**2/11 + 449*j/11 - 45 = 0?
-9, 1, 55
Factor -2*h**5/7 + 22*h**4/7 - 92*h**3/7 + 180*h**2/7 - 162*h/7 + 54/7.
-2*(h - 3)**3*(h - 1)**2/7
Let -o**2/7 + 58*o/7 - 841/7 = 0. Calculate o.
29
What is d in 3*d**2/4 + 261*d/2 + 22707/4 = 0?
-87
Let -3*n**3/5 + 201*n**2/5 - 393*n/5 + 39 = 0. What is n?
1, 65
Find b such that -5*b**3 - 30*b**2 + 255*b - 220 = 0.
-11, 1, 4
Determine l, given that l**4/12 - 11*l**3/12 - 19*l**2/3 - 16*l/3 = 0.
-4, -1, 0, 16
Suppose w**3/2 - 14*w**2 + 64*w + 512 = 0. Calculate w.
-4, 16
Factor 3*n**3/4 + 9*n**2/4 - 3.
3*(n - 1)*(n + 2)**2/4
Determine u, given that 2*u**4/5 + 26*u**3/5 + 44*u**2/5 = 0.
-11, -2, 0
Factor -5*w**4 - 30*w**3 - 60*w**2 - 50*w - 15.
-5*(w + 1)**3*(w + 3)
Factor 3*i**2 - 27*i - 156.
3*(i - 13)*(i + 4)
Solve -28*l**5 + 32*l**4 + 24*l**3 - 32*l**2 + 4*l = 0.
-1, 0, 1/7, 1
Suppose 32*d**4 - 752*d**3 + 3426*d**2 + 6462*d + 2592 = 0. Calculate d.
-3/4, 9, 16
Factor -3*b**4/2 + 531*b**3/2 + 1611*b**2/2 + 1617*b/2 + 270.
-3*(b - 180)*(b + 1)**3/2
Factor -21*t**2 - 246*t + 72.
-3*(t + 12)*(7*t - 2)
Suppose 4*v**5/5 + 8*v**4/5 - 8*v**3/5 - 16*v**2/5 + 4*v/5 + 8/5 = 0. Calculate v.
-2, -1, 1
Suppose -2*q**4/9 - 56*q**3/9 - 262*q**2/9 + 1856*q/9 - 512/3 = 0. What is q?
-16, 1, 3
Find i such that -2*i**2 - 2068*i - 4128 = 0.
-1032, -2
Determine b, given that -3*b**3 + 666*b**2/5 - 1524*b/5 + 504/5 = 0.
2/5, 2, 42
Find k, given that 2*k**4/11 + 28*k**3/11 = 0.
-14, 0
Factor h**3 - 31*h + 30.
(h - 5)*(h - 1)*(h + 6)
Determine n so that -n**3/4 + 13*n**2/4 + n/4 - 13/4 = 0.
-1, 1, 13
Suppose 8*r**2/11 - 14*r + 38/11 = 0. Calculate r.
1/4, 19
Let -5*l**5/4 - 20*l**4 + 1575*l**3/2 - 1510*l**2 + 2975*l/4 = 0. Calculate l.
-35, 0, 1, 17
Factor -3*p**3/4 + 15*p**2/4 + 48*p - 105.
-3*(p - 10)*(p - 2)*(p + 7)/4
Factor 3*h**5 + 15*h**4 + 27*h**3 + 21*h**2 + 6*h.
3*h*(h + 1)**3*(h + 2)
Factor -5*p**3 - 25110*p**2 + 5*p + 25110.
-5*(p - 1)*(p + 1)*(p + 5022)
Solve -3*k**4 + 30*k**3 - 45*k**2 - 30*k + 48 = 0.
-1, 1, 2, 8
Let -5*y**5 + 100*y**4 + 30*y**3 - 560*y**2 - 785*y - 300 = 0. Calculate y.
-1, 3, 20
Let -m**4 + 23*m**3 + 26*m**2 - 48*m = 0. Calculate m.
-2, 0, 1, 24
Solve 4*z**4 - 20*z**3 - 60*z**2 + 20*z + 56 = 0 for z.
-2, -1, 1, 7
Solve -25*w**2 + 605*w - 120 = 0.
1/5, 24
Let 3*w**5/2 + 6*w**4 - 3*w**3/2 - 24*w**2 - 18*w = 0. Calculate w.
-3, -2, -1, 0, 2
Suppose -6*r**5/11 + 124*r**4/11 + 3070*r**3/11 - 2100*r**2/11 = 0. Calculate r.
-15, 0, 2/3, 35
Factor -3*r**2 + 24*r + 60.
-3*(r - 10)*(r + 2)
Factor -r**3 + 280*r**2 - 19600*r.
-r*(r - 140)**2
Factor 4489*u**2 + 268*u + 4.
(67*u + 2)**2
Let -2*g**3 + 2448*g**2/13 - 5160*g/13 + 736/13 = 0. What is g?
2/13, 2, 92
Factor 2*n**2 - 300*n + 11250.
2*(n - 75)**2
Factor h**5/9 + h**4 + 3*h**3 + 31*h**2/9 + 4*h/3.
h*(h + 1)**2*(h + 3)*(h + 4)/9
Factor n**3/6 + 29*n**2/3 - 122*n/3 + 124/3.
(n - 2)**2*(n + 62)/6
Let -15*v**5 - 565*v**4 + 2035*v**3 - 675*v**2 - 2440*v + 820 = 0. What is v?
-41, -1, 1/3, 2
Solve 2*z**2/11 - 66*z + 1444/11 = 0.
2, 361
Find b such that -7*b**3/5 - 39*b**2/5 - 17*b/5 + 3 = 0.
-5, -1, 3/7
Determine f so that f**4 + f**3 - 11*f**2 - 9*f + 18 = 0.
-3, -2, 1, 3
Factor -5*m**4 - 25*m**3 + 5*m**2 + 25*m.
-5*m*(m - 1)*(m + 1)*(m + 5)
Factor -5*q**5 + 35*q**4 + 510*q**3 + 1270*q**2 + 1175*q + 375.
-5*(q - 15)*(q + 1)**3*(q + 5)
Factor -70*q**3 + 155*q**2 - 20*q - 20.
-5*(q - 2)*(2*q - 1)*(7*q + 2)
Suppose -18*i**5 + 76*i**4 - 16*i**3 - 288*i**2 + 352*i - 64 = 0. Calculate i.
-2, 2/9, 2
Let -3*w**2/2 - 435*w - 63075/2 = 0. What is w?
-145
Let -2*l**5/9 + 40*l**4/9 + 202*l**3/9 - 80*l**2/3 = 0. Calculate l.
-5, 0, 1, 24
What is r in r**3/4 - 9*r**2/4 + 5*r - 3 = 0?
1, 2, 6
Factor i**4/2 - 4*i**3 - 43*i**2/8 + 65*i/8 - 9/4.
(i - 9)*(i + 2)*(2*i - 1)**2/8
Factor -3*v**4 - 441*v**3 - 1296*v**2.
-3*v**2*(v + 3)*(v + 144)
Factor -s**3/10 - 1542*s**2/5 - 1585176*s/5 - 543186976/5.
-(s + 1028)**3/10
Solve 20*l**3/11 - 82*l**2/11 + 68*l/11 - 6/11 = 0.
1/10, 1, 3
Suppose 3*d**2 - 522*d + 519 = 0. Calculate d.
1, 173
What is s in -3*s**4 + 6*s**3 + 27*s**2 - 54*s = 0?
-3, 0, 2, 3
Factor g**2/8 + 349*g/8.
g*(g + 349)/8
Factor -3*z**2/5 - 303*z/5 - 60.
-3*(z + 1)*(z + 100)/5
Factor -p**2 + 18*p + 144.
-(p - 24)*(p + 6)
Determine m, given that -4*m**5 - 56*m**4 - 172*m**3 - 104*m**2 + 176*m + 160 = 0.
-10, -2, -1, 1
Factor 2*a**2/9 - 524*a/9 - 526/9.
2*(a - 263)*(a + 1)/9
Let c**5/2 - 8*c**4 - 37*c**3 - 58*c**2 - 79*c/2 - 10 = 0. Calculate c.
-1, 20
Find v, given that v**2 + 198*v - 1224 = 0.
-204, 6
Find h such that 46*h**2 - 27*h/2 + 1/2 = 0.
1/23, 1/4
Let d**4/4 - 7*d**3/4 - 2*d**2 = 0. Calculate d.
-1, 0, 8
Factor 2*z**3/7 - 8436*z**2/7 + 8895762*z/7.
2*z*(z - 2109)**2/7
Factor -2*y**3/5 - 24*y**2/5 - 58*y/5 - 36/5.
-2*(y + 1)*(y + 2)*(y + 9)/5
Factor 7*b**4/2 - 45*b**3/4 + 37*b**2/4 - 3*b/2.
b*(b - 2)*(b - 1)*(14*b - 3)/4
Factor 3*r**3 + 462*r**2 + 17787*r.
3