25)*(6*o + 1)**2
Factor o**4 - 5*o**3/3 - 4*o**2/3 + 4*o/3.
o*(o - 2)*(o + 1)*(3*o - 2)/3
Let 12*y**2 + 183*y + 45 = 0. Calculate y.
-15, -1/4
Factor v**3/8 - 43*v**2/8 - 89*v/8 - 45/8.
(v - 45)*(v + 1)**2/8
Let h**4/5 + 87*h**3/5 + 2097*h**2/5 + 8897*h/5 + 10086/5 = 0. Calculate h.
-41, -3, -2
Determine k, given that -2*k**2 - 2*k + 4 = 0.
-2, 1
Solve 4*q**4 + 308*q**3 - 316*q**2 - 308*q + 312 = 0.
-78, -1, 1
What is l in -l**3/3 + 19*l**2/9 + 14*l/9 = 0?
-2/3, 0, 7
Solve -5*q**4 + 5*q**3 + 15*q**2 - 5*q - 10 = 0 for q.
-1, 1, 2
Factor -v**2/2 - 28*v + 666.
-(v - 18)*(v + 74)/2
Factor i**3/8 - 35*i**2/8 + 67*i/8 - 33/8.
(i - 33)*(i - 1)**2/8
What is s in -3*s**4/7 + 165*s**3/7 + 720*s**2/7 - 660*s/7 - 2832/7 = 0?
-4, -2, 2, 59
Solve 2*y**2 - 538*y + 1068 = 0 for y.
2, 267
Factor 2*f**2/3 - 230*f - 692/3.
2*(f - 346)*(f + 1)/3
Factor -i**3/3 + 341*i**2/3 - 29240*i/3 + 28900/3.
-(i - 170)**2*(i - 1)/3
Factor 4*q**4 - 6*q**3 - 6*q**2 + 4*q.
2*q*(q - 2)*(q + 1)*(2*q - 1)
Factor 3*s**3/7 - 372*s**2/7 - 3*s/7 + 372/7.
3*(s - 124)*(s - 1)*(s + 1)/7
Factor 5*q**3 + 6115*q**2 + 1866600*q - 1872720.
5*(q - 1)*(q + 612)**2
Determine j so that -4*j**2 - 19008*j - 19004 = 0.
-4751, -1
Factor -o**2/3 - 2447*o/3 - 2446/3.
-(o + 1)*(o + 2446)/3
Factor -4*g**4 - 2376*g**3 + 7152*g**2 - 7160*g + 2388.
-4*(g - 1)**3*(g + 597)
Factor s**3/7 - 402*s**2/7 - 807*s/7 - 404/7.
(s - 404)*(s + 1)**2/7
Suppose 2*l**2/15 - 10*l - 152/15 = 0. Calculate l.
-1, 76
Find f such that 142*f**4/3 - 2560*f**3/9 + 1712*f**2/3 - 384*f + 32/9 = 0.
2/213, 2
Let -4*k**5 - 184*k**4 + 2936*k**3 - 7664*k**2 + 7276*k - 2360 = 0. Calculate k.
-59, 1, 10
Factor -5*g**3/3 + 295*g**2/3 + 20*g/3 - 1180/3.
-5*(g - 59)*(g - 2)*(g + 2)/3
Solve -9*t**5 - 114*t**4 - 351*t**3 - 78*t**2 + 360*t + 192 = 0.
-8, -4, -1, -2/3, 1
Suppose 2*x**2 + 1888*x + 445568 = 0. What is x?
-472
Factor 3*b**5/4 + 3*b**4/4 - 3*b**3/4 - 3*b**2/4.
3*b**2*(b - 1)*(b + 1)**2/4
Factor -2*b**5/15 + 6*b**4/5 - 14*b**3/5 + 38*b**2/15 - 4*b/5.
-2*b*(b - 6)*(b - 1)**3/15
Determine p so that 10*p**5 - 5*p**4/4 - 10*p**3 + 5*p**2/4 = 0.
-1, 0, 1/8, 1
Factor 2*q**5/5 - 24*q**4/5 + 76*q**3/5 - 104*q**2/5 + 66*q/5 - 16/5.
2*(q - 8)*(q - 1)**4/5
Factor -1204090*y**3/19 + 694694*y**2/19 + 16496*y/19 + 96/19.
-2*(5*y - 3)*(347*y + 4)**2/19
Factor 2*h**2/23 + 8*h/23 - 10/23.
2*(h - 1)*(h + 5)/23
Suppose -a**2 - 517*a = 0. Calculate a.
-517, 0
Suppose 9*r**4 + 267*r**3 + 660*r**2 + 324*r = 0. Calculate r.
-27, -2, -2/3, 0
Let -2*b**4 - 100*b**3 + 4904*b**2 - 9500*b + 4698 = 0. What is b?
-81, 1, 29
Determine p, given that 5*p**5 - 195*p**4 + 1990*p**3 - 1610*p**2 - 1995*p + 1805 = 0.
-1, 1, 19
Factor l**4/3 - 2*l**3/3.
l**3*(l - 2)/3
Let -22*y**4/7 + 72*y**3/7 - 24*y**2/7 - 64*y/7 = 0. What is y?
-8/11, 0, 2
Determine j so that -5*j**5 + 5*j**4 + 35*j**3 - 5*j**2 - 30*j = 0.
-2, -1, 0, 1, 3
What is s in 2*s**3/9 - 2*s**2/9 - 8*s/9 + 8/9 = 0?
-2, 1, 2
Determine n, given that -9*n**5/4 + 3*n**4/4 + 51*n**3/4 + 57*n**2/4 + 9*n/2 = 0.
-1, -2/3, 0, 3
Find k, given that 28*k**3 - 428*k**2 + 512*k - 112 = 0.
2/7, 1, 14
Factor z**2/3 - 152*z/3 - 51.
(z - 153)*(z + 1)/3
Factor 6*m**3/11 + 156*m**2/11 - 174*m/11 - 324/11.
6*(m - 2)*(m + 1)*(m + 27)/11
Determine p so that 4*p**2/9 - 92*p/3 + 1280/9 = 0.
5, 64
Factor 2*i**4/7 - 16*i**3/7 + 30*i**2/7 + 16*i/7 - 32/7.
2*(i - 4)**2*(i - 1)*(i + 1)/7
Suppose -c**4/3 + c**3/3 + 13*c**2/3 - c/3 - 4 = 0. Calculate c.
-3, -1, 1, 4
Determine o so that 5*o**5/4 + 22*o**4 - 711*o**3/4 + 665*o**2/2 - 226*o + 48 = 0.
-24, 2/5, 1, 4
Find j such that -j**4 + 3*j**3/4 + 17*j**2/4 - 3*j - 1 = 0.
-2, -1/4, 1, 2
Factor -2*o**3/9 - 10*o**2 + 104*o/9 + 184/3.
-2*(o - 3)*(o + 2)*(o + 46)/9
Factor -4*j**2/3 + 1000*j/3 - 62500/3.
-4*(j - 125)**2/3
Solve -q**3/8 - 23*q**2/8 - 175*q/8 - 441/8 = 0.
-9, -7
Suppose 4*u**4 - 56*u**3 + 52*u**2 = 0. What is u?
0, 1, 13
Factor 3*p**4 - 45*p**3 + 42*p**2.
3*p**2*(p - 14)*(p - 1)
Solve -c**4/2 + 2*c**3 = 0.
0, 4
Find d such that 2*d**4 - 6*d**3 - 14*d**2 + 30*d + 36 = 0.
-2, -1, 3
Factor 2*p**2 - 12*p - 80.
2*(p - 10)*(p + 4)
Factor 2*f**3 - 242*f**2 - 992*f - 1000.
2*(f - 125)*(f + 2)**2
Suppose -h**4/5 + 4*h**3/5 + h**2/5 - 4*h/5 = 0. Calculate h.
-1, 0, 1, 4
Factor j**5/7 + 278*j**4/7 + 79*j**3 + 276*j**2/7.
j**2*(j + 1)**2*(j + 276)/7
Factor 51*p**2 - 168*p - 144.
3*(p - 4)*(17*p + 12)
Determine r, given that 4*r**5 + 24*r**4 - 104*r**3 - 576*r**2 - 188*r + 840 = 0.
-7, -3, -2, 1, 5
Factor 2*d**5/9 - 64*d**4/9 - 92*d**3/3 - 424*d**2/9 - 286*d/9 - 8.
2*(d - 36)*(d + 1)**4/9
Factor -14*u**4/5 - 2488*u**3/5 - 110182*u**2/5 + 31684*u/5.
-2*u*(u + 89)**2*(7*u - 2)/5
What is i in -4*i**3 - 4544*i**2 = 0?
-1136, 0
Solve 6*y**3 + 9574*y**2 + 3817632*y - 1273608 = 0 for y.
-798, 1/3
Factor t**3/6 - 19*t**2/6 - 550*t/3.
t*(t - 44)*(t + 25)/6
Find p such that 2*p**3/19 - 28*p**2/19 - 30*p/19 = 0.
-1, 0, 15
Factor 5*y**2 - y.
y*(5*y - 1)
What is i in i**3 - 11*i**2 - 14*i + 24 = 0?
-2, 1, 12
Suppose -2*o**2/9 + 38*o/3 + 116/9 = 0. What is o?
-1, 58
Let -5*f**2 - 10980*f = 0. What is f?
-2196, 0
Factor -2*w**5/3 + 56*w**4/3 - 52*w**3 + 152*w**2/3 - 50*w/3.
-2*w*(w - 25)*(w - 1)**3/3
Factor 16*n**3 - 180*n**2 + 524*n - 120.
4*(n - 6)*(n - 5)*(4*n - 1)
Determine a so that -a**2 + 51*a - 50 = 0.
1, 50
What is f in -140*f**3/3 - 116*f**2/3 - 11*f/3 + 2 = 0?
-1/2, 6/35
Factor -2*q**2/9 + 50*q/9 - 28.
-2*(q - 18)*(q - 7)/9
Factor u**4/3 - 13*u**3/3 + 22*u**2/3.
u**2*(u - 11)*(u - 2)/3
Factor -m**4/12 + m**3/12 + m**2/3 - m/3.
-m*(m - 2)*(m - 1)*(m + 2)/12
Let 5*d**5 - 25*d**4 + 45*d**3 - 35*d**2 + 10*d = 0. What is d?
0, 1, 2
Let 4*t**3 + 108*t**2 - 228*t + 116 = 0. What is t?
-29, 1
What is d in -7*d**4/3 - 55*d**3/3 + 75*d**2 - 185*d/3 + 22/3 = 0?
-11, 1/7, 1, 2
Factor -4*r**2 + 111*r/5 + 29/5.
-(4*r + 1)*(5*r - 29)/5
What is a in 20*a**4 - 18181*a**3/2 + 1035348*a**2 - 1083017*a/2 + 51529 = 0?
1/8, 2/5, 227
Factor -d**3/6 + 49*d**2/6 + 26*d/3 - 50/3.
-(d - 50)*(d - 1)*(d + 2)/6
Factor o**3 - 19*o**2/5 - 12*o - 36/5.
(o - 6)*(o + 1)*(5*o + 6)/5
Factor t**2/3 + t/3.
t*(t + 1)/3
Factor 8*k**2/13 - 6*k/13 - 2/13.
2*(k - 1)*(4*k + 1)/13
Factor -h**5 + 25*h**4 - 143*h**3 - 169*h**2.
-h**2*(h - 13)**2*(h + 1)
Let 2*w**2/5 - 968*w + 585640 = 0. Calculate w.
1210
Factor -4*v**2 + 84*v + 400.
-4*(v - 25)*(v + 4)
Let -4*q**2 + 4*q + 48 = 0. Calculate q.
-3, 4
Find c, given that 3*c**5/5 - 12*c**4/5 - 3*c**3/5 + 48*c**2/5 - 36*c/5 = 0.
-2, 0, 1, 2, 3
Solve -5*m**2 - 375*m - 3520 = 0 for m.
-64, -11
Factor -4*t**4/3 + 40*t**3/3 - 148*t**2/3 + 80*t - 48.
-4*(t - 3)**2*(t - 2)**2/3
Let 6*t**2 - 57*t/4 - 45/4 = 0. Calculate t.
-5/8, 3
Factor -5*i**2 + 8520*i + 17060.
-5*(i - 1706)*(i + 2)
Factor 3*u**5 - 30*u**4 - 72*u**3 - 6*u**2 + 69*u + 36.
3*(u - 12)*(u - 1)*(u + 1)**3
Factor -3*k**4/5 - 27*k**3 + 1848*k**2/5.
-3*k**2*(k - 11)*(k + 56)/5
Solve 8*z**4/21 + 118*z**3/21 + 346*z**2/21 + 170*z/21 - 22/7 = 0 for z.
-11, -3, -1, 1/4
What is i in -i**2/3 + 12*i = 0?
0, 36
Find j such that -1083*j**2 + 114*j - 3 = 0.
1/19
Factor 2*o**3/7 + 2*o**2 - 88*o/7.
2*o*(o - 4)*(o + 11)/7
Factor -i**2/8 + 11*i/8 + 21/4.
-(i - 14)*(i + 3)/8
Suppose 2*p**4/13 - 280*p**3/13 + 274*p**2/13 + 556*p/13 = 0. Calculate p.
-1, 0, 2, 139
Factor -2*n**3 - 20*n**2 + 442*n - 420.
-2*(n - 10)*(n - 1)*(n + 21)
Find z, given that -4*z**5 - 32*z**4 + 108*z**3 + 200*z**2 - 752*z + 480 = 0.
-10, -3, 1, 2
Find g such that -g**3/5 - g**2/5 + 17*g/5 - 3 = 0.
-5, 1, 3
Factor 2*x**3/15 - 16*x**2/15 + 6*x/5 + 12/5.
2*(x - 6)*(x - 3)*(x + 1)/15
Suppose 27*b**3/2 - 705*b**2/2 + 753*b/2 - 75/2 = 0. What is b?
1/9, 1, 25
Suppose 3*u**3/5 - 51*u**2/5 + 189*u/5 + 243/5 = 0. Calculate u.
-1, 9
Let o**2/3 - 74*o/3 + 1369/3 = 0. Calculate o.
37
Determine k, given that -k**3/8 - 29*k**2/2 - 3245*k/8 + 3481/4 = 0.
-59, 2
Determine v, given that -15*v**5/2 - 9*v**4 + 6*v**3 + 9*v**2 + 3*v/2 = 0.
-1, -1/5, 0, 1
Factor 4*y**3 + 140*y**2 - 16*y - 560.
4*(y - 2)*(y + 2)*(y + 35)
Factor 968*t**4 + 9944*t**3 + 26858*t**2 + 6780*t + 450.
2*(t + 5)**2*(22*t + 3)**2
Factor -2*d**3 + 1026*d**2 - 175446*d + 10000422.
-2*(d - 171)**3
What is c in c**4/3 - 47*c**3/3 + 692*c**2/3 - 3280*c/3 + 1600 = 0?
3, 4, 20
Suppose 4*p**5 - 8*p**3 + 4*p = 0. Calculate p.
-1, 0, 1
Suppo