3 + 270*g**2 + 216*g = 0.
-4, -3, 0
Suppose -2*q**5/5 + 8*q**4/5 + 38*q**3/5 - 44*q**2/5 - 216*q/5 - 144/5 = 0. What is q?
-2, -1, 3, 6
Factor 3*q**4 - 6*q**3 - 36*q**2 - 42*q - 15.
3*(q - 5)*(q + 1)**3
Factor h**2/9 + 8*h/9 + 7/9.
(h + 1)*(h + 7)/9
What is a in -2*a**5/7 - 94*a**4/7 - 1150*a**3/7 - 1058*a**2/7 = 0?
-23, -1, 0
Factor -z**4 - 94*z**3 + 588*z**2 - 1192*z + 800.
-(z - 2)**3*(z + 100)
Factor -4*m**4 - 44*m**3 - 168*m**2 - 272*m - 160.
-4*(m + 2)**3*(m + 5)
Factor -2*i**4/3 + 28*i**3/3 - 50*i**2/3 + 8*i.
-2*i*(i - 12)*(i - 1)**2/3
Factor 3*f**4/2 - 123*f**2/2 + 108*f + 168.
3*(f - 4)**2*(f + 1)*(f + 7)/2
Let -27*v**3/5 + 1848*v**2 + 16524*v/5 - 4128/5 = 0. Calculate v.
-2, 2/9, 344
Solve -13*c**5 - 115*c**4 - 372*c**3 - 512*c**2 - 224*c + 48 = 0 for c.
-3, -2, 2/13
Find x such that 4*x**3 - 48*x**2 + 164*x - 120 = 0.
1, 5, 6
Let r**4/8 + 11*r**3/8 + 9*r**2/8 - 119*r/8 + 49/4 = 0. What is r?
-7, 1, 2
Factor -2*u**2/9 - 34*u/9 - 140/9.
-2*(u + 7)*(u + 10)/9
Let 63*i**3 - 354*i**2 + 201*i - 30 = 0. What is i?
2/7, 1/3, 5
Suppose -2*t**4 - 2*t**3 + 90*t**2 - 166*t + 80 = 0. What is t?
-8, 1, 5
Factor -3*h**2 - 486*h - 6216.
-3*(h + 14)*(h + 148)
Let -6*n**4/7 - 136*n**3/7 - 62*n**2 - 296*n/7 + 152/7 = 0. Calculate n.
-19, -2, 1/3
Let -3*n**4/2 - 21*n**3/2 + 51*n**2/2 - 27*n/2 = 0. What is n?
-9, 0, 1
Let 3*q**4 - 12*q**3 + 6*q**2 + 12*q - 9 = 0. Calculate q.
-1, 1, 3
Factor -2*p**4/5 + 2*p**3 - 14*p**2/5 + 6*p/5.
-2*p*(p - 3)*(p - 1)**2/5
Factor s**3/2 - 269*s**2/2 + 17955*s/2 + 18225/2.
(s - 135)**2*(s + 1)/2
Factor f**4/4 - 11*f**3/4 - f**2/4 + 11*f/4.
f*(f - 11)*(f - 1)*(f + 1)/4
Determine r so that 9*r**5/4 - 3*r**4/2 - 3*r**3 + 3*r**2/2 + 3*r/4 = 0.
-1, -1/3, 0, 1
Find p such that 6*p**3 + 166*p**2/9 - 68*p/3 - 16/9 = 0.
-4, -2/27, 1
Solve -5*a**4 + 275*a**3 - 3640*a**2 - 3920*a = 0.
-1, 0, 28
Factor -q**3 + 9*q**2 - 14*q.
-q*(q - 7)*(q - 2)
Factor 4*g**5 + 12*g**4 + 8*g**3.
4*g**3*(g + 1)*(g + 2)
Factor -5*c**2 - 380*c - 375.
-5*(c + 1)*(c + 75)
Suppose -15*x**4 + 125*x**3 - 255*x**2 - 5*x + 150 = 0. What is x?
-2/3, 1, 3, 5
Factor 2*z**2/13 + 784*z/13 + 76832/13.
2*(z + 196)**2/13
Find h such that -h**2 - 4*h = 0.
-4, 0
Factor 3*k**2 + 48*k - 171.
3*(k - 3)*(k + 19)
Factor o**3 - 25*o**2 + 24*o.
o*(o - 24)*(o - 1)
Let x**4 - 4*x**3 - 87*x**2 + 94*x + 176 = 0. What is x?
-8, -1, 2, 11
Determine a, given that -5*a**2 + 120*a - 640 = 0.
8, 16
Suppose -2*q**3 - 4*q**2 - 2*q = 0. Calculate q.
-1, 0
What is o in 5*o**5 + 645*o**4 + 26370*o**3 + 279450*o**2 - 2460375*o + 4100625 = 0?
-45, 3
Factor -o**4/3 + 62*o**3 - 3712*o**2 + 188416*o/3 + 524288.
-(o - 64)**3*(o + 6)/3
Factor -2*c**2 - 196*c - 4802.
-2*(c + 49)**2
Let -15*h**5 + 380*h**4 - 1565*h**3 - 10260*h**2 - 8900*h + 4160 = 0. What is h?
-2, 1/3, 13, 16
Factor -2*b**5 - 20*b**4 - 12*b**3 + 320*b**2 + 350*b - 1500.
-2*(b - 3)*(b - 2)*(b + 5)**3
Determine a so that -2*a**5/9 + 460*a**4/9 + 464*a**3/3 + 1396*a**2/9 + 466*a/9 = 0.
-1, 0, 233
Determine a so that a**2 + 1008*a = 0.
-1008, 0
Solve -3*q**5 + 3*q**4 + 42*q**3 - 18*q**2 - 135*q - 81 = 0.
-3, -1, 3
Factor 2*m**2 + 8*m - 10.
2*(m - 1)*(m + 5)
Suppose 5*k**5 - 35*k**4 - 25*k**3 + 355*k**2 + 200*k - 500 = 0. Calculate k.
-2, 1, 5
Factor -4*d**2/3 + 728*d/3 - 33124/3.
-4*(d - 91)**2/3
Factor 2*f**5 + 2*f**4 - 30*f**3 + 46*f**2 - 20*f.
2*f*(f - 2)*(f - 1)**2*(f + 5)
Find i such that -4*i**5 + 52*i**4 + 644*i**3 + 588*i**2 = 0.
-7, -1, 0, 21
Factor -k**2/8 + 1261*k/2 - 1590121/2.
-(k - 2522)**2/8
Determine t, given that -t**5/3 - 95*t**4/3 - 286*t**3 - 670*t**2/3 + 859*t/3 + 255 = 0.
-85, -9, -1, 1
Determine h so that 2*h**3/5 + 472*h**2/5 + 914*h + 2260 = 0.
-226, -5
Factor -z**2/4 + 35*z/2 - 1225/4.
-(z - 35)**2/4
Factor -3*h**5/2 - 3*h**4 + 9*h**3/2.
-3*h**3*(h - 1)*(h + 3)/2
Determine u, given that 5*u**5 + 210*u**4 + 790*u**3 + 1160*u**2 + 765*u + 190 = 0.
-38, -1
Let -4*r**5/7 + 24*r**4/7 - 36*r**3/7 - 16*r**2/7 + 48*r/7 = 0. What is r?
-1, 0, 2, 3
Factor -5*s**5/3 - 25*s**4 - 125*s**3 - 725*s**2/3 - 200*s - 60.
-5*(s + 1)**3*(s + 6)**2/3
Solve 4*m**3/3 - 124*m**2/3 + 112*m = 0 for m.
0, 3, 28
Find f such that 12*f**5 + 43*f**4 + 14*f**3 - 23*f**2 - 6*f = 0.
-3, -1, -1/4, 0, 2/3
Factor 3*a**4 + 156*a**3 - 1809*a**2 + 3138*a - 1488.
3*(a - 8)*(a - 1)**2*(a + 62)
Factor -8*p**3 + 842*p**2 - 1042*p + 208.
-2*(p - 104)*(p - 1)*(4*p - 1)
Factor -t**2 - 162*t.
-t*(t + 162)
Factor r**2/4 + 167*r/2 + 1645/4.
(r + 5)*(r + 329)/4
Determine d, given that -d**2 - 21*d + 46 = 0.
-23, 2
Suppose 2*g**4 + 1229*g**3/2 + 47580*g**2 + 115209*g/2 - 70227 = 0. What is g?
-153, -2, 3/4
Suppose 52*n**3 - 5504*n**2 + 145220*n + 22472 = 0. Calculate n.
-2/13, 53
Factor -10*k**2/3 - 47*k/3 + 5.
-(k + 5)*(10*k - 3)/3
Solve -2*w**5/3 - 22*w**4/3 + 578*w**3/3 - 2882*w**2/3 + 1376*w - 600 = 0.
-25, 1, 6
Let x**5/2 + 53*x**4/2 + 99*x**3 + 47*x**2 - 199*x/2 - 147/2 = 0. Calculate x.
-49, -3, -1, 1
Factor 5*c**3 - 210*c**2 - 4995*c + 219040.
5*(c - 37)**2*(c + 32)
Factor -3*k**4 + 4137*k**3 - 1904391*k**2 + 293899995*k - 580215474.
-3*(k - 459)**3*(k - 2)
Factor -4*p**2 + 8*p + 140.
-4*(p - 7)*(p + 5)
Suppose 3*t**2 + 84*t = 0. What is t?
-28, 0
Factor 14*k**3 - 38*k**2 - 1524*k - 432.
2*(k - 12)*(k + 9)*(7*k + 2)
Let r**3/8 + 21*r**2/8 - r/2 - 21/2 = 0. Calculate r.
-21, -2, 2
Factor -5*n**2 - 605*n + 1860.
-5*(n - 3)*(n + 124)
Factor 3*s**3/4 + 2421*s**2/2 + 1953747*s/4.
3*s*(s + 807)**2/4
Factor 2*k**5 - 4*k**4 - 4*k**3 + 16*k**2 - 14*k + 4.
2*(k - 1)**4*(k + 2)
Solve 2*d**3/9 + 58*d**2/9 - 124*d/9 = 0 for d.
-31, 0, 2
Find n such that 8*n**5/9 + 34*n**4/9 + 16*n**3/9 - 46*n**2/9 - 4*n/3 = 0.
-3, -2, -1/4, 0, 1
Factor -2*w**2/11 + 58*w/11 - 108/11.
-2*(w - 27)*(w - 2)/11
Find f such that f**3 - 46*f**2 + 529*f = 0.
0, 23
Suppose -65*p**5 + 205*p**4 + 1465*p**3 + 1915*p**2 + 580*p - 140 = 0. What is p?
-2, -1, 2/13, 7
Factor y**4/7 + 4*y**3/7 + 5*y**2/7 + 2*y/7.
y*(y + 1)**2*(y + 2)/7
Factor 2*h**5 - 4*h**4 - 2*h**3 + 4*h**2.
2*h**2*(h - 2)*(h - 1)*(h + 1)
What is c in 5*c**4 - 10*c**3 + 10*c - 5 = 0?
-1, 1
Solve 5*b**3 - 205*b**2 + 580*b - 380 = 0 for b.
1, 2, 38
Factor 6*m**2 + 22*m - 40.
2*(m + 5)*(3*m - 4)
What is t in -t**4 + 3*t**3 + 15*t**2 - 19*t - 30 = 0?
-3, -1, 2, 5
Solve -4*j**5 - 44*j**4 + 56*j**3 + 96*j**2 = 0 for j.
-12, -1, 0, 2
Solve 2*p**4 - 8*p**3 + 8*p**2 = 0 for p.
0, 2
Factor 4*r**4/3 - 92*r**3/3 + 152*r**2 - 848*r/3 + 544/3.
4*(r - 17)*(r - 2)**3/3
Find m such that m**2 - 2019*m - 2020 = 0.
-1, 2020
Factor t**4 - 2*t**3 - 4*t**2 + 2*t + 3.
(t - 3)*(t - 1)*(t + 1)**2
Suppose n**5/3 + 74*n**4/3 + 1208*n**3/3 - 6158*n**2/3 - 403*n + 2028 = 0. What is n?
-39, -1, 1, 4
Factor 2462*g**2/13 - 4*g/13.
2*g*(1231*g - 2)/13
Find o, given that -14*o**5/15 + 6*o**4/5 + 16*o**3/3 - 16*o**2/3 - 32*o/5 + 32/15 = 0.
-2, -1, 2/7, 2
Find b such that -5*b**3 + 80*b**2 = 0.
0, 16
Suppose 4*t**4 + 12*t**3 - 16*t = 0. Calculate t.
-2, 0, 1
Suppose 2*q**2 + 20*q + 48 = 0. Calculate q.
-6, -4
Find h, given that -20*h**4 - 145*h**3 + 165*h**2 + 370*h + 80 = 0.
-8, -1, -1/4, 2
Factor -y**5 + 3*y**4 + 9*y**3 + 5*y**2.
-y**2*(y - 5)*(y + 1)**2
Factor -2*f**2 - 256*f + 3058.
-2*(f - 11)*(f + 139)
Factor -m**2/3 - 70*m/3 + 71/3.
-(m - 1)*(m + 71)/3
Solve y**3/3 + 2*y**2/3 - 16*y/3 - 32/3 = 0 for y.
-4, -2, 4
Factor 2*f**5/9 + 34*f**4/9 + 212*f**3/9 + 580*f**2/9 + 650*f/9 + 250/9.
2*(f + 1)**2*(f + 5)**3/9
Factor -b**2/5 - 366*b/5 - 73.
-(b + 1)*(b + 365)/5
Let -2*a**5/9 + 10*a**4/3 + 194*a**3/9 + 46*a**2/3 - 40*a = 0. What is a?
-3, 0, 1, 20
Factor x**4/7 + 15*x**3/7 - x**2/7 - 15*x/7.
x*(x - 1)*(x + 1)*(x + 15)/7
Suppose d**2/3 - 20*d - 124/3 = 0. What is d?
-2, 62
Factor -4*n**4 + 48*n**3 - 168*n**2 + 80*n + 300.
-4*(n - 5)**2*(n - 3)*(n + 1)
What is t in 2*t**5/5 + 14*t**4/5 + 12*t**3/5 - 56*t**2/5 - 16*t = 0?
-5, -2, 0, 2
Factor 2*a**3 - 58*a**2 + 340*a + 400.
2*(a - 20)*(a - 10)*(a + 1)
Solve -2*r**2 + 9*r/2 + 14 = 0.
-7/4, 4
Solve -8*a**4 + 84*a**3 + 48*a**2 - 44*a = 0 for a.
-1, 0, 1/2, 11
Let 28*v**5 - 268*v**4 + 116*v**3 + 268*v**2 - 144*v = 0. Calculate v.
-1, 0, 4/7, 1, 9
Find t, given that -4*t**2 - 88*t - 160 = 0.
-20, -2
Factor 5*c**4/2 - 10*c**3 + 15*c**2/2.
5*c**2*(c - 3)*(c - 1)/2
Factor 3*l**2/4 + 3*l/2 - 18.
3*(l - 4)*(l + 6)/4
Factor 