q + 5)**2*(q + 15)/9
Factor -3*b**2/4 + 693*b/2 - 690.
-3*(b - 460)*(b - 2)/4
Find b such that 4*b**2/5 + 2512*b/5 + 5008/5 = 0.
-626, -2
Factor -4*p**2 - 148*p - 1320.
-4*(p + 15)*(p + 22)
Find q, given that 2*q**5/11 - 4*q**4/11 - 12*q**3/11 + 16*q**2/11 + 10*q/11 - 12/11 = 0.
-2, -1, 1, 3
Solve 2*i**2 - 458*i - 2340 = 0.
-5, 234
Factor -4*n**2 - 640*n - 25600.
-4*(n + 80)**2
Solve 2*l**4/9 + 314*l**3/3 - 1900*l**2/3 + 11432*l/9 - 848 = 0.
-477, 2
Let z**4/3 - 11*z**2 - 28*z/3 + 20 = 0. What is z?
-5, -2, 1, 6
Factor 3*d**4 + 45*d**3 - 192*d**2 - 540*d.
3*d*(d - 5)*(d + 2)*(d + 18)
Determine m so that 5*m**3 - 1995*m**2 + 265335*m - 11763185 = 0.
133
Factor -2*u**3 + 44*u**2 - 280*u + 400.
-2*(u - 10)**2*(u - 2)
Factor -x**4 + 58*x**3 - 421*x**2 - 12180*x - 44100.
-(x - 35)**2*(x + 6)**2
Factor 25*r**4/6 - 210*r**3 + 8063*r**2/3 - 1050*r + 625/6.
(r - 25)**2*(5*r - 1)**2/6
Suppose -4*q**2/7 + 96*q/7 - 80 = 0. What is q?
10, 14
Find i, given that -4*i**4 + 40*i**3 + 48*i**2 - 40*i - 44 = 0.
-1, 1, 11
Determine s, given that 6*s**4/7 + 178*s**3/7 - 246*s**2/7 + 62*s/7 = 0.
-31, 0, 1/3, 1
Let y**4/2 + 4*y**3 + 3*y**2 - 4*y - 7/2 = 0. Calculate y.
-7, -1, 1
Solve j**2/6 + 19*j/6 - 25 = 0.
-25, 6
Solve 18*i**4 + 51*i**3 - 6*i**2 - 60*i + 24 = 0.
-2, 1/2, 2/3
Suppose -5*c**2/2 - 195*c - 385/2 = 0. What is c?
-77, -1
Factor -x**3/6 - 28*x**2/3 - 725*x/6 + 841/3.
-(x - 2)*(x + 29)**2/6
Factor -2*y**2 + 82*y.
-2*y*(y - 41)
Factor 9*l**4 - 2279*l**3 + 5033*l**2 - 3265*l + 502.
(l - 251)*(l - 1)**2*(9*l - 2)
Factor 2*x**2/11 - 1088*x/11 + 147968/11.
2*(x - 272)**2/11
Determine h, given that h**3 + 4*h**2 - 7*h - 10 = 0.
-5, -1, 2
Solve 50*t**4/7 + 520*t**3/7 - 998*t**2/7 - 460*t/7 - 48/7 = 0.
-12, -1/5, 2
Determine b so that -2*b**5 + 2*b**4 + 12*b**3 + 4*b**2 - 10*b - 6 = 0.
-1, 1, 3
Factor 2*h**5/9 - 8*h**4/3 + 14*h**3/3 - 20*h**2/9.
2*h**2*(h - 10)*(h - 1)**2/9
Find n, given that 15*n**5/2 - 5*n**4 - 15*n**3/2 + 5*n**2 = 0.
-1, 0, 2/3, 1
Factor -2*n**3/3 + 14*n**2/3 + 2*n/3 - 14/3.
-2*(n - 7)*(n - 1)*(n + 1)/3
Factor -3*q**2 + 501*q - 990.
-3*(q - 165)*(q - 2)
Solve 2*f**5 - 48*f**4 - 118*f**3 + 348*f**2 + 440*f - 624 = 0.
-3, -2, 1, 2, 26
Solve -2*k**5 - 18*k**4 - 64*k**3 - 112*k**2 - 96*k - 32 = 0 for k.
-2, -1
Factor -5*m**5 - 135*m**4 - 1330*m**3 - 5390*m**2 - 5145*m + 12005.
-5*(m - 1)*(m + 7)**4
Determine s, given that 3*s**5/5 + 18*s**4/5 - 6*s**3/5 - 36*s**2/5 + 3*s/5 + 18/5 = 0.
-6, -1, 1
Find s, given that -3*s**3 + 30*s**2 - 69*s + 42 = 0.
1, 2, 7
What is j in j**2 - 12*j + 32 = 0?
4, 8
Solve -3*y**3/8 + 2991*y**2/8 = 0 for y.
0, 997
What is u in -4*u**4 - 94*u**3 - 134*u**2 - 44*u = 0?
-22, -1, -1/2, 0
Factor 2*w**2 + 16*w - 18.
2*(w - 1)*(w + 9)
Let 3*z**5 + 153*z**4/4 - 75*z**3/4 - 3555*z**2/4 + 6723*z/4 - 729/2 = 0. Calculate z.
-9, 1/4, 2, 3
Factor -2*d**4/7 - 46*d**3 - 12798*d**2/7 + 13122*d/7.
-2*d*(d - 1)*(d + 81)**2/7
Determine f so that 5*f**5 - 205*f**4 - 885*f**3 - 695*f**2 + 880*f + 900 = 0.
-2, -1, 1, 45
Let 170*n**4/7 + 3744*n**3/7 + 13008*n**2/7 + 1792*n + 288/7 = 0. Calculate n.
-18, -2, -2/85
Factor -3*p**3/8 + 57*p**2/8 - 75*p/2 + 99/2.
-3*(p - 11)*(p - 6)*(p - 2)/8
Let 3*y**5 + 91*y**4 - 1097*y**3 + 2565*y**2 + 1750*y - 2000 = 0. What is y?
-40, -1, 2/3, 5
Let -2*y**4 + 286*y**3 - 12168*y**2 + 70304*y + 3655808 = 0. Calculate y.
-13, 52
Factor b**3/4 - b**2/4 - 3*b/2.
b*(b - 3)*(b + 2)/4
Factor -5*i**3 + 75*i**2 + 80*i.
-5*i*(i - 16)*(i + 1)
Solve 7*s**5 + 173*s**4 + 951*s**3 - 1469*s**2 + 338*s = 0.
-13, 0, 2/7, 1
Factor -s**2/4 - s/2.
-s*(s + 2)/4
What is b in -16*b**4/9 - 10*b**3/3 + 4*b**2/9 = 0?
-2, 0, 1/8
Determine d so that 2*d**3/5 + 14*d**2/5 + 28*d/5 + 16/5 = 0.
-4, -2, -1
Solve -1620*c**4 - 12465*c**3 + 4420*c**2 + 3740*c + 480 = 0 for c.
-8, -2/9, 3/4
Solve 3*p**2 + 324*p + 8748 = 0.
-54
Determine x, given that x**4/4 + 24*x**3 + 664*x**2 + 4224*x + 7744 = 0.
-44, -4
Factor o**4/6 + 7*o**3/6 - 17*o**2/6 + 3*o/2.
o*(o - 1)**2*(o + 9)/6
Factor 3*k**2/8 + 3657*k/4 + 4457883/8.
3*(k + 1219)**2/8
Factor -k**5/9 + 22*k**4/9 + 43*k**3/3 + 166*k**2/9 - 100*k/9 - 24.
-(k - 27)*(k - 1)*(k + 2)**3/9
Factor 2*x**3 + 2*x**2 - 8*x - 8.
2*(x - 2)*(x + 1)*(x + 2)
Factor -5*n**3 + 245*n**2 - 3720*n + 18000.
-5*(n - 25)*(n - 12)**2
What is f in 2*f**4/11 + 14*f**3/11 - 646*f**2/11 + 2394*f/11 + 7452/11 = 0?
-23, -2, 9
What is o in -4*o**5 - 24*o**4 + 96*o**3 - 104*o**2 + 36*o = 0?
-9, 0, 1
Factor 6*s**4/7 + 96*s**3/7 + 438*s**2/7 + 540*s/7.
6*s*(s + 2)*(s + 5)*(s + 9)/7
Solve 2*v**4/9 + 160*v**3/9 + 1066*v**2/3 - 160*v/9 - 3200/9 = 0 for v.
-40, -1, 1
Factor -2*b**3/19 - 168*b**2/19 + 18*b - 172/19.
-2*(b - 1)**2*(b + 86)/19
What is k in -3*k**2/4 + 243*k/4 = 0?
0, 81
Let 4*x**2 - 116*x + 616 = 0. What is x?
7, 22
Factor 2*n**4 + 4544*n**3 + 27216*n**2 + 54400*n + 36256.
2*(n + 2)**3*(n + 2266)
Factor -g**4/5 - 49*g**3/5 - 19*g**2 - 47*g/5.
-g*(g + 1)**2*(g + 47)/5
Solve f**3/4 + 521*f**2/4 + 1039*f/4 + 519/4 = 0 for f.
-519, -1
Factor -5*x**2 + 145*x - 270.
-5*(x - 27)*(x - 2)
Factor w**2/2 + 19*w - 123/2.
(w - 3)*(w + 41)/2
Factor -4*h**5 - 62*h**4 - 1129*h**3/4 - 651*h**2/2 - 441*h/4.
-h*(h + 7)**2*(4*h + 3)**2/4
Factor -4*n**4 - 56*n**3 + 1004*n**2 + 1056*n.
-4*n*(n - 11)*(n + 1)*(n + 24)
Determine z, given that 2*z**5/9 - 310*z**4/9 + 5740*z**3/3 - 369820*z**2/9 + 689210*z/9 + 5651522 = 0.
-9, 41
Factor -m**4/3 + 44*m**3/3 - 388*m**2/3 - 704*m - 768.
-(m - 24)**2*(m + 2)**2/3
Factor 2*y**5/11 + 48*y**4/11 - 336*y**3/11 + 64*y**2 - 480*y/11.
2*y*(y - 2)**3*(y + 30)/11
Find c such that 2*c**5/7 + 156*c**4/7 + 3706*c**3/7 + 25448*c**2/7 + 40392*c/7 + 18496/7 = 0.
-34, -8, -1
Factor -5*z**3 - 920*z**2 + 925*z.
-5*z*(z - 1)*(z + 185)
Suppose -3*l**3/2 - 87*l**2 - 1170*l + 2700 = 0. What is l?
-30, 2
Factor -4*a**4 - 36*a**3 + 964*a**2 - 924*a.
-4*a*(a - 11)*(a - 1)*(a + 21)
Find y such that -4*y**4/3 + 1808*y**3/3 - 66884*y**2 - 275424*y - 207936 = 0.
-3, -1, 228
Let 150*f**4 + 1520*f**3 - 1436*f**2 - 48*f + 198 = 0. Calculate f.
-11, -1/3, 3/5
Factor -2*c**2/9 - 28*c/9 + 10/3.
-2*(c - 1)*(c + 15)/9
What is i in -2*i**3/3 - 230*i**2/3 - 454*i/3 - 226/3 = 0?
-113, -1
Factor -i**2 + 492*i - 980.
-(i - 490)*(i - 2)
Solve y**4 + 112*y**3 + 4704*y**2 + 87808*y + 614656 = 0.
-28
Let 7*q**3/2 + 12*q**2 - 19*q/2 - 6 = 0. Calculate q.
-4, -3/7, 1
Factor x**4 - 75*x**3 + 212*x**2 + 288*x.
x*(x - 72)*(x - 4)*(x + 1)
Factor 2*n**4/9 + 26*n**3/9 + 82*n**2/9 + 94*n/9 + 4.
2*(n + 1)**2*(n + 2)*(n + 9)/9
Solve 2*y**5/13 - 38*y**4/13 + 108*y**3/13 + 188*y**2/13 - 110*y/13 - 150/13 = 0.
-1, 1, 5, 15
Solve 5*w**3 - 120*w**2 - 135*w + 250 = 0 for w.
-2, 1, 25
Factor 2*k**4/11 - 246*k**3/11 + 9792*k**2/11 - 124416*k/11.
2*k*(k - 48)**2*(k - 27)/11
Factor g**4/8 - 5*g**3/8 + 7*g**2/8 - 3*g/8.
g*(g - 3)*(g - 1)**2/8
Factor 3*w**3 + 3*w**2 - 42*w - 72.
3*(w - 4)*(w + 2)*(w + 3)
Let -2*a**2 - 4084*a - 2084882 = 0. What is a?
-1021
Factor -2*y**2 + 90*y - 400.
-2*(y - 40)*(y - 5)
Factor 19*v**3/7 + 5*v**2/7 - 19*v/7 - 5/7.
(v - 1)*(v + 1)*(19*v + 5)/7
Factor -v**2/5 + v/5 + 2/5.
-(v - 2)*(v + 1)/5
Factor -5*x**3 + 50940*x**2 - 172992240*x + 195827215680.
-5*(x - 3396)**3
Find z such that 64*z**4 + 140*z**3 - 168*z**2 - 36*z = 0.
-3, -3/16, 0, 1
Factor -4*j**2/11 - 222*j/11 + 112/11.
-2*(j + 56)*(2*j - 1)/11
Suppose -o**5 + 4*o**3 - 2*o**2 - 3*o + 2 = 0. What is o?
-2, -1, 1
Let -49*y**3 + 3374*y**2 - 2865*y + 612 = 0. What is y?
3/7, 68
What is m in -5*m**2 + 45*m + 50 = 0?
-1, 10
Factor -n**3/11 + 76*n**2/11 - 603*n/11.
-n*(n - 67)*(n - 9)/11
Determine d, given that -2*d**4/5 + 6*d**3/5 + 112*d**2/5 + 264*d/5 + 32 = 0.
-4, -2, -1, 10
Factor -5*s**3 + 97*s**2 - 38*s.
-s*(s - 19)*(5*s - 2)
Factor -3*m**2/4 - 3*m/4 + 9/2.
-3*(m - 2)*(m + 3)/4
Let -2*j**4 - 65*j**3 - 152*j**2 - 60*j = 0. What is j?
-30, -2, -1/2, 0
Let -3*a**5 + 63*a**4 - 471*a**3 + 1449*a**2 - 1470*a = 0. Calculate a.
0, 2, 5, 7
Factor -3*r**2/4 + r + 1.
-(r - 2)*(3*r + 2)/4
Factor -92*z**2/3 + 277*z/3 - 1.
-(z - 3)*(92*z - 1)/3
Suppose -m**2/5 + 1382*m/5 + 831 = 0. What is m?
-3, 1385
Factor -5*p**2/3 - 6190*p - 5747415.
-5*(p + 1857)**2/3
Factor r**4/5 - 2*r**3/5 - 3*r**2.
r**2*(r - 5)*(r + 3)/5
Solve -2*d**5/15 - 26*d**4/15 - 106*d**3/15 - 142*d**2/15 - 4*d = 0.
-6, -5, -1, 0
L