**3 + 218*n**2 - 1998*n + 1782.
-2*(n - 99)*(n - 9)*(n - 1)
Let h**3/2 + h**2 - 21*h/2 + 9 = 0. What is h?
-6, 1, 3
Solve -4*b**5 - 32*b**4 + 144*b**3 + 88*b**2 - 460*b + 264 = 0.
-11, -2, 1, 3
What is c in 2*c**4/3 - 40*c**3/3 - 142*c**2 + 2520*c + 8424 = 0?
-13, -3, 18
Let 16*v**5/7 + 48*v**4/7 + 31*v**3/7 - 3*v**2/7 - 2*v/7 = 0. Calculate v.
-2, -1, -1/4, 0, 1/4
Let 10*i**4 + 34*i**3 - 34*i**2 - 34*i + 24 = 0. Calculate i.
-4, -1, 3/5, 1
Let 3*p**4/2 + 6*p**3 - 105*p**2/2 - 225*p = 0. Calculate p.
-5, 0, 6
Determine a, given that -5*a**3 - 305*a**2 - 5535*a - 25515 = 0.
-27, -7
Solve 3*i**4/4 - 63*i**3/2 - 2049*i**2/4 + 22995*i + 47775 = 0 for i.
-26, -2, 35
Factor -5*w**4 - 35*w**3 - 75*w**2 - 65*w - 20.
-5*(w + 1)**3*(w + 4)
Solve -2*y**2/3 + 106*y/3 - 264 = 0 for y.
9, 44
Factor -z**2/2 - 27*z/2 + 14.
-(z - 1)*(z + 28)/2
Find z such that 36*z**4 - 100*z**3 - 60*z**2 + 100*z + 24 = 0.
-1, -2/9, 1, 3
Find r, given that 2*r**3/3 - 358*r**2/3 + 16198*r/3 - 15842/3 = 0.
1, 89
Factor -15*s**4 - 39*s**3 - 12*s**2 + 12*s.
-3*s*(s + 1)*(s + 2)*(5*s - 2)
Factor -k**4/8 + 57*k**3/8 - 90*k**2 + 328*k.
-k*(k - 41)*(k - 8)**2/8
Find b, given that 3*b**4 - 105*b**3 - 3*b**2 + 105*b = 0.
-1, 0, 1, 35
Suppose -2*g**5 - 4*g**4 - 2*g**3 = 0. What is g?
-1, 0
Factor -2*z**2/7 + 40*z - 1400.
-2*(z - 70)**2/7
Factor -5*n**5 - 15*n**4 + 30*n**3 + 130*n**2 + 135*n + 45.
-5*(n - 3)*(n + 1)**3*(n + 3)
Determine q so that 3*q**5 - 24*q**4 - 30*q**3 + 24*q**2 + 27*q = 0.
-1, 0, 1, 9
Determine g so that -2*g**2/3 + 56*g/3 - 64 = 0.
4, 24
Factor -11045*r**2 + 8460*r - 1620.
-5*(47*r - 18)**2
Factor -w**3/7 - 38*w**2/7 + 45*w.
-w*(w - 7)*(w + 45)/7
Determine u, given that u**2/3 - 644*u + 1931/3 = 0.
1, 1931
Determine q so that -4*q**2 - 1144*q - 81796 = 0.
-143
Determine h, given that -2*h**4/3 + 296*h**3/3 - 13064*h**2/3 + 52096*h - 185856 = 0.
8, 66
Factor -3*o**4/2 - 15*o**3/2 - 9*o**2/2 + 27*o/2.
-3*o*(o - 1)*(o + 3)**2/2
Factor -2*l**3/3 + 2*l**2 + 36*l - 224/3.
-2*(l - 8)*(l - 2)*(l + 7)/3
Factor -3*o**4/4 + 105*o**3/2 - 297*o**2 + 582*o - 384.
-3*(o - 64)*(o - 2)**3/4
Factor 3*g**4 - 18*g**3 + 15*g**2.
3*g**2*(g - 5)*(g - 1)
Suppose -2*b**5 - 10*b**4 - 14*b**3 + 2*b**2 + 16*b + 8 = 0. Calculate b.
-2, -1, 1
Suppose 2*w**4/15 - 154*w**3/5 + 92*w**2/3 = 0. Calculate w.
0, 1, 230
Factor 4*h**2 + 296*h + 576.
4*(h + 2)*(h + 72)
Suppose 5*t**4 - 660*t**3 + 23040*t**2 - 81920*t = 0. What is t?
0, 4, 64
Factor 4*g**3 + 28*g**2 + 28*g - 60.
4*(g - 1)*(g + 3)*(g + 5)
Determine p so that p**3/2 + 42*p**2 + 165*p/2 + 41 = 0.
-82, -1
Solve -2*t**2/5 + 18*t/5 = 0.
0, 9
Factor 3*b**5 - 39*b**4 + 90*b**3.
3*b**3*(b - 10)*(b - 3)
Find i, given that i**5/4 - 5*i**4/4 + 3*i**3/2 = 0.
0, 2, 3
Factor 2*l**2/21 - 22*l/21 + 20/21.
2*(l - 10)*(l - 1)/21
Factor -x**2 + 91*x.
-x*(x - 91)
Find m, given that -4*m**5 - 16*m**4 + 60*m**3 + 40*m**2 - 176*m + 96 = 0.
-6, -2, 1, 2
Suppose 2*n**3 + 2*n**2 - 8*n - 8 = 0. Calculate n.
-2, -1, 2
Suppose 10*v**3 + 65*v**2 - 130*v - 80 = 0. What is v?
-8, -1/2, 2
Factor u**3/9 + u**2/9 - 110*u/9.
u*(u - 10)*(u + 11)/9
Factor 2*o**4 - 142*o**3 + 278*o**2 - 138*o.
2*o*(o - 69)*(o - 1)**2
Find k, given that k**4/2 - 101*k**3/2 - 156*k**2 = 0.
-3, 0, 104
Factor 2*k**3/5 + 4*k**2 + 66*k/5 + 72/5.
2*(k + 3)**2*(k + 4)/5
Solve 4*n**3 + 3144*n**2 + 617796*n = 0.
-393, 0
Factor p**3/4 - 6*p**2 + 117*p/4 - 81/2.
(p - 18)*(p - 3)**2/4
Suppose 3*m**3/8 + 9*m**2/8 + 3*m/4 = 0. What is m?
-2, -1, 0
What is h in 320*h**3/9 - 322*h**2/9 - 638*h/9 + 4/9 = 0?
-1, 1/160, 2
Let 2*v**3/7 - 68*v**2/7 - 464*v/7 - 640/7 = 0. What is v?
-4, -2, 40
Factor -a**2 - 142*a + 143.
-(a - 1)*(a + 143)
Solve -p**3 - 55*p**2 - 1008*p - 6156 = 0.
-19, -18
Factor 3*x**4 - 3*x**3 - 30*x**2 - 24*x.
3*x*(x - 4)*(x + 1)*(x + 2)
Find j such that -2*j**2/7 + 8*j/7 + 6 = 0.
-3, 7
Factor -2*y**4 - 396*y**3 - 23474*y**2 - 383328*y - 1874048.
-2*(y + 11)**2*(y + 88)**2
Factor -v**2/7 + 97*v/7 + 198/7.
-(v - 99)*(v + 2)/7
Let 2*x**3/7 - 2*x/7 = 0. What is x?
-1, 0, 1
Factor b**4/5 + 120*b**3 - 601*b**2/5.
b**2*(b - 1)*(b + 601)/5
Solve 5*x**4 - 20*x**3 - 15*x**2 + 50*x + 40 = 0.
-1, 2, 4
What is p in 5*p**3 + 35*p**2 - 140*p + 100 = 0?
-10, 1, 2
Suppose -4*t**4 - 3424*t**3 - 1099104*t**2 - 156805504*t - 8389094464 = 0. What is t?
-214
Factor -3*r**2/8 + 819*r/2 - 1635/2.
-3*(r - 1090)*(r - 2)/8
Factor 2*w**2/13 + 236*w/13 + 912/13.
2*(w + 4)*(w + 114)/13
Let -28*v**3 + 3400*v**2 + 1952*v = 0. Calculate v.
-4/7, 0, 122
Factor -2*v**4/7 + 1924*v**3/7 - 88320*v**2 + 66764800*v/7 - 131072000/7.
-2*(v - 320)**3*(v - 2)/7
Factor 3*z**5/5 + 9639*z**4/5 + 10323369*z**3/5 + 3685442733*z**2/5.
3*z**2*(z + 1071)**3/5
Factor 2*z**4 - 810*z**3 - 4908*z**2 - 9848*z - 6576.
2*(z - 411)*(z + 2)**3
Suppose 2*y**3/13 + 2*y**2/13 - 48*y/13 + 72/13 = 0. What is y?
-6, 2, 3
Let 5*b**4/4 + 20*b**3 - 255*b**2/4 - 585*b/2 + 810 = 0. Calculate b.
-18, -4, 3
Solve 4*w**4 - 24*w**3 - 32*w**2 + 24*w + 28 = 0.
-1, 1, 7
Factor 2*d**3/13 + 14*d**2 + 2790*d/13 + 11826/13.
2*(d + 9)**2*(d + 73)/13
Determine z so that -3*z**5 - 102*z**4 - 642*z**3 + 3768*z**2 - 5187*z + 2166 = 0.
-19, 1, 2
Factor -4*y**3/9 - 28*y**2/9 - 56*y/9 - 32/9.
-4*(y + 1)*(y + 2)*(y + 4)/9
Factor -2*z**3/3 - 34*z**2/3 + 8*z/3 + 136/3.
-2*(z - 2)*(z + 2)*(z + 17)/3
Solve 2*r**5/5 + 4*r**4 + 56*r**3/5 + 48*r**2/5 = 0 for r.
-6, -2, 0
Factor 5*w**4 - 3725*w**3 + 918750*w**2 - 73437500*w - 390625000.
5*(w - 250)**3*(w + 5)
Factor -3*t**3/5 + 39*t**2/5.
-3*t**2*(t - 13)/5
Solve 2*u**5/3 - 40*u**4/3 + 28*u**3/3 + 184*u**2/3 + 38*u = 0.
-1, 0, 3, 19
Find v such that 4*v**2 + 880*v + 1744 = 0.
-218, -2
Solve -50*v**5/13 - 80*v**4 + 3652*v**3/13 - 4416*v**2/13 + 2286*v/13 - 432/13 = 0.
-24, 3/5, 1
Find z, given that -2*z**4 + 46*z**3 - 126*z**2 + 122*z - 40 = 0.
1, 20
Solve 4*r**2/5 - 64*r/5 - 228/5 = 0 for r.
-3, 19
Determine r, given that -5*r**4 - 185*r**3 + 1265*r**2 - 1075*r = 0.
-43, 0, 1, 5
Find h such that 4*h**3/7 - 2532*h**2/7 + 534252*h/7 - 37575724/7 = 0.
211
Suppose -3*i**3 - 75*i**2 = 0. Calculate i.
-25, 0
Factor -2*f**4 - 14*f**3 - 12*f**2.
-2*f**2*(f + 1)*(f + 6)
Suppose -2*a**3/9 - 86*a**2/3 - 880*a + 2904 = 0. What is a?
-66, 3
Solve -8*i**2 - 6650*i - 1662 = 0.
-831, -1/4
Factor 2*s**3/3 + 242*s**2/3 + 2480*s + 2400.
2*(s + 1)*(s + 60)**2/3
Determine r so that -2*r**4/3 - 16*r**3 - 120*r**2 - 288*r = 0.
-12, -6, 0
Let -2*a**3 + 1032*a**2 - 134154*a + 264196 = 0. What is a?
2, 257
Determine z, given that -z**3/12 + 5*z**2/6 - 19*z/12 - 5/2 = 0.
-1, 5, 6
Factor -20*b**3 - 85*b**2.
-5*b**2*(4*b + 17)
Factor -2*h**3/9 - 16*h**2/3 + 2*h/9 + 16/3.
-2*(h - 1)*(h + 1)*(h + 24)/9
Determine h so that -14*h**5/13 - 1606*h**4/13 + 2112*h**3/13 + 2776*h**2/13 - 928*h/13 = 0.
-116, -1, 0, 2/7, 2
Factor 2*t**2/11 - 32/11.
2*(t - 4)*(t + 4)/11
Suppose 2*v**2/3 + 14*v/3 + 4 = 0. Calculate v.
-6, -1
What is m in -32*m**3/13 - 368*m**2/13 + 190*m/13 - 24/13 = 0?
-12, 1/4
Suppose -7*d**3 - 4*d**2 + 28*d + 16 = 0. What is d?
-2, -4/7, 2
Factor q**4/3 + 92*q**3/3.
q**3*(q + 92)/3
Factor n**2/3 - 3842*n/3 + 3690241/3.
(n - 1921)**2/3
What is f in -f**4/3 + 253*f**3/3 + 86*f**2 - 1012*f/3 - 1016/3 = 0?
-2, -1, 2, 254
Find o, given that 2*o**2/11 + 26*o/11 + 80/11 = 0.
-8, -5
Factor -3*w**3/7 - 1620*w**2/7 - 291600*w/7 - 17496000/7.
-3*(w + 180)**3/7
Solve 2*j**3/5 - 14*j**2/5 + 16*j/5 + 32/5 = 0 for j.
-1, 4
Suppose -7*h**5 - 25*h**4/2 + 11*h**3 + 29*h**2/2 - 4*h - 2 = 0. What is h?
-2, -1, -2/7, 1/2, 1
Let -4*k**4 + 4*k**3 + 24*k**2 - 16*k - 32 = 0. What is k?
-2, -1, 2
Factor -3*s**2 - 42*s - 99.
-3*(s + 3)*(s + 11)
Solve -30000*p**4 - 89400*p**3 - 58203*p**2 + 1191*p - 6 = 0.
-2, -1, 1/100
Solve -7*a**5 + 15*a**4 - 9*a**3 + a**2 = 0 for a.
0, 1/7, 1
Determine p, given that p**5/4 + 3*p**4/4 - 5*p**3/4 - 27*p**2/4 - 8*p - 3 = 0.
-2, -1, 3
Let -24*i**5/13 + 184*i**4/13 - 254*i**3/13 + 80*i**2/13 + 2*i - 12/13 = 0. Calculate i.
-1/3, 1/2, 1, 6
Factor b**2/10 + 8*b/5 + 39/10.
(b + 3)*(b + 13)/10
Factor -4*f**3/3 + 56*f**2/3 - 160*f/3.
-4*f*(f - 10)*(f - 4)/3
Suppose p**5/7 - 11*p**4/7 + 10*p**3/7 + 106*p**2/7 + 19*p + 7 = 0. What is p?
-1, 7
Solve -2*l**2 - 176*l + 178 = 0.
-89, 1
Factor -i**3 + 24*i**2 + i - 24.
-(i - 24)*(i - 1)*(i + 1)
Determine o, given that 