*3 + 20*h**2 + 20*h.
-5*h*(h - 2)*(h + 1)*(h + 2)
Let 2*o**4 - 2*o**3/3 - 14*o**2 + 50*o/3 - 4 = 0. Calculate o.
-3, 1/3, 1, 2
Factor f**4/4 + 567*f**3/4 - 1713*f**2/2 + 1717*f - 1146.
(f - 2)**3*(f + 573)/4
Solve 9*v**5/2 + 57*v**4/2 + 9*v**3/2 - 57*v**2/2 - 9*v = 0.
-6, -1, -1/3, 0, 1
Suppose -2*t**2 - 470*t/3 - 52 = 0. What is t?
-78, -1/3
Factor 14*y**3 - 136*y**2 + 86*y + 36.
2*(y - 9)*(y - 1)*(7*y + 2)
What is d in 3*d**4/4 - 9*d**3 - 3*d**2/4 + 9*d = 0?
-1, 0, 1, 12
What is h in -4*h**4 + 4*h**3 + 4*h**2 - 4*h = 0?
-1, 0, 1
Solve 15*b**4 + 69*b**3 + 90*b**2 + 12*b - 24 = 0 for b.
-2, -1, 2/5
Factor 2*u**3/15 + 2*u**2/15 - 44*u/15 - 16/3.
2*(u - 5)*(u + 2)*(u + 4)/15
Let 4*r**2 + 52*r + 144 = 0. Calculate r.
-9, -4
Factor -5*p**5 + 25*p**4 + 70*p**3 + 10*p**2 - 65*p - 35.
-5*(p - 7)*(p - 1)*(p + 1)**3
Factor -3*k**2 - 566*k + 189.
-(k + 189)*(3*k - 1)
Let v**3/2 - 21*v**2/4 - 35*v/4 - 3 = 0. Calculate v.
-1, -1/2, 12
Suppose -2*l**3 + 18*l**2 + 24*l - 40 = 0. What is l?
-2, 1, 10
Solve -2*i**4/15 - 2*i**3/15 + 4*i**2/3 - 16*i/15 = 0 for i.
-4, 0, 1, 2
Factor -3*m**2 - 48*m - 45.
-3*(m + 1)*(m + 15)
Factor -147*k**5/2 + 2730*k**4 - 57315*k**3/2 + 9975*k**2 + 724710*k + 1189524.
-3*(k - 14)**3*(7*k + 17)**2/2
Let 9*s**5 + 42*s**4 + 48*s**3 + 6*s**2 - 9*s = 0. What is s?
-3, -1, 0, 1/3
Solve 6*f**4/5 + 129*f**3/5 + 57*f**2/5 - 129*f/5 - 63/5 = 0.
-21, -1, -1/2, 1
Factor -5*t**2 + 435*t + 890.
-5*(t - 89)*(t + 2)
Factor -c**3/6 + c/2 + 1/3.
-(c - 2)*(c + 1)**2/6
Factor -2*v**4/3 + 84*v**3 + 254*v**2/3.
-2*v**2*(v - 127)*(v + 1)/3
Find t, given that -3*t**3 - 798*t**2 + 4047*t - 4878 = 0.
-271, 2, 3
Factor v**5/5 - 2*v**4/5 + 2*v**2/5 - v/5.
v*(v - 1)**3*(v + 1)/5
Factor 4*a**3 + 296*a**2 + 1136*a + 1120.
4*(a + 2)**2*(a + 70)
Solve -3*j**4 - 33*j**3 - 66*j**2 + 288*j + 864 = 0 for j.
-6, -4, 3
Factor f**2 - 18*f.
f*(f - 18)
Suppose -2*t**4/9 - 4*t**3/3 + 16*t**2/9 + 4*t/3 - 14/9 = 0. What is t?
-7, -1, 1
Let -5*v**2 - 95*v + 100 = 0. What is v?
-20, 1
Factor 2*b**3/15 + 2*b**2/15 - 4*b/15.
2*b*(b - 1)*(b + 2)/15
Let -a**2 - 23*a - 126 = 0. Calculate a.
-14, -9
Find m such that -7*m**3 - 4391*m**2 + 7552*m + 2516 = 0.
-629, -2/7, 2
Let 4*p**5 - 4*p**4 - 12*p**3 + 4*p**2 + 8*p = 0. What is p?
-1, 0, 1, 2
Find d, given that -54*d**4/11 + 192*d**3/11 - 120*d**2/11 - 96*d/11 = 0.
-4/9, 0, 2
Determine j, given that -j**2/3 - 14*j/3 + 5 = 0.
-15, 1
Factor -2*m**3 - 246*m**2 - 486*m - 242.
-2*(m + 1)**2*(m + 121)
Let -4*w**5/5 - 18*w**4/5 - 16*w**3/5 + 12*w**2/5 + 4*w + 6/5 = 0. Calculate w.
-3, -1, -1/2, 1
Factor 4*c**2 - 8*c + 4.
4*(c - 1)**2
Let 3*v**5 + 399*v**4 + 13047*v**3 - 15879*v**2 - 80802*v = 0. Calculate v.
-67, -2, 0, 3
Factor 2*s**2 - 300*s - 1232.
2*(s - 154)*(s + 4)
Determine b, given that 2*b**3 - 18*b**2 - 50*b + 450 = 0.
-5, 5, 9
Find m, given that -4*m**3 - 2440*m**2 - 7292*m - 4856 = 0.
-607, -2, -1
Factor 5*v**3/2 + 5*v**2/2 - 5*v/2 - 5/2.
5*(v - 1)*(v + 1)**2/2
Factor 6*b**2/5 + 34*b/5 + 28/5.
2*(b + 1)*(3*b + 14)/5
Suppose -5*x**5 + 60*x**4 - 250*x**3 + 420*x**2 - 225*x = 0. Calculate x.
0, 1, 3, 5
Let 2*d**2/7 - 1836*d/7 + 421362/7 = 0. What is d?
459
Solve -4907531205*a**5 - 5018435865*a**4 - 111844530*a**3 - 943410*a**2 - 3545*a - 5 = 0 for a.
-1, -1/177
Determine o so that -2*o**4 - 58*o**3 + 126*o**2 + 58*o - 124 = 0.
-31, -1, 1, 2
Factor 4*u**4 + 16*u**3 - 64*u - 64.
4*(u - 2)*(u + 2)**3
Factor -a**3/2 + 67*a**2 - 4489*a/2.
-a*(a - 67)**2/2
Factor -l**2 - l + 12.
-(l - 3)*(l + 4)
Suppose -196*d**3 - 16296*d**2 + 14076*d - 3024 = 0. What is d?
-84, 3/7
Factor k**4/8 + k**3 - 9*k**2/8.
k**2*(k - 1)*(k + 9)/8
Factor t**3/8 + 31*t**2/8 + 105*t/4.
t*(t + 10)*(t + 21)/8
Factor m**5/8 + 13*m**4/8 + 8*m**3 + 19*m**2 + 22*m + 10.
(m + 2)**4*(m + 5)/8
Factor 5*a**2 + 74080*a + 274392320.
5*(a + 7408)**2
Suppose 2*j**2/5 + 42*j/5 = 0. Calculate j.
-21, 0
Solve -2*h**2/21 - 104*h/3 + 488/7 = 0.
-366, 2
Factor -3*l**2 - 282*l - 279.
-3*(l + 1)*(l + 93)
Suppose 8*w**4 - 118*w**3 + 402*w**2 - 212*w - 80 = 0. What is w?
-1/4, 1, 4, 10
Suppose -3*n**3/4 - 21*n**2/2 + 3*n + 42 = 0. Calculate n.
-14, -2, 2
Factor 4*i**4 - 6432*i**3/7 - 1840*i**2/7.
4*i**2*(i - 230)*(7*i + 2)/7
Find k such that -2*k**2/7 - 1520*k/7 - 288800/7 = 0.
-380
Factor 66*r**2 - 128*r - 8.
2*(r - 2)*(33*r + 2)
Let -4*k**4 - 64*k**3/7 - 44*k**2/7 - 8*k/7 = 0. Calculate k.
-1, -2/7, 0
Determine m, given that m**4/2 - m**3/2 - m**2/2 + m/2 = 0.
-1, 0, 1
Factor 2*m**3/3 - 40*m**2/3 + 32*m + 384.
2*(m - 12)**2*(m + 4)/3
Solve -i**4 - 28*i**3 - 99*i**2 - 72*i = 0 for i.
-24, -3, -1, 0
Solve -b**5 + 2*b**4 + 2*b**3 - 4*b**2 - b + 2 = 0 for b.
-1, 1, 2
Factor 2*t**3/9 - 106*t**2/3 - 218*t - 330.
2*(t - 165)*(t + 3)**2/9
Determine a so that -2*a**3/9 + 10*a**2/9 + 28*a/9 = 0.
-2, 0, 7
Solve -4*c**5 + 8*c**4 + 16*c**3 - 8*c**2 - 12*c = 0 for c.
-1, 0, 1, 3
Determine p, given that 2*p**2/13 + 366*p/13 = 0.
-183, 0
Factor -2*h**3/9 - 500*h**2/9 - 1976*h/9 - 656/3.
-2*(h + 2)**2*(h + 246)/9
Let 2*a**3/13 - 2*a**2/13 - 18*a/13 + 18/13 = 0. Calculate a.
-3, 1, 3
Suppose 2*y**2 - 16*y - 18 = 0. Calculate y.
-1, 9
Factor -10*x**3 + 765*x**2 - 380*x.
-5*x*(x - 76)*(2*x - 1)
Factor -4*k**3 - 20*k**2 - 32*k - 16.
-4*(k + 1)*(k + 2)**2
Determine f, given that -54*f**5 - 27*f**4/4 + 18*f**3 + 25*f**2/4 + f/2 = 0.
-1/3, -1/8, 0, 2/3
Find d, given that -d**2/4 - 32*d - 1024 = 0.
-64
Determine c so that 2*c**2/7 - 330*c/7 + 3100/7 = 0.
10, 155
Factor -2*r**2 + 10*r + 100.
-2*(r - 10)*(r + 5)
Factor -5*c**2 - 350*c - 345.
-5*(c + 1)*(c + 69)
Factor 2*g**2 - 130*g - 132.
2*(g - 66)*(g + 1)
Suppose -10*g**4 + 95*g**3 - 305*g**2 + 400*g - 180 = 0. Calculate g.
1, 2, 9/2
Factor -2*v**3/3 + 58*v**2/3 + 2972*v/3 - 6160/3.
-2*(v - 55)*(v - 2)*(v + 28)/3
Factor 3*k**2 - 813*k - 816.
3*(k - 272)*(k + 1)
Factor 7*o**2 + 180*o - 52.
(o + 26)*(7*o - 2)
Solve 3*v**5/2 + 21*v**4/2 - 153*v**3/2 + 303*v**2/2 - 123*v + 36 = 0.
-12, 1, 2
Let 2*k**3 - 826*k**2 - 5010*k - 7542 = 0. What is k?
-3, 419
Let -3*a**3 - 15*a**2 + 72*a = 0. What is a?
-8, 0, 3
Determine l, given that -2*l**5 - 8*l**4 - 2*l**3 + 12*l**2 = 0.
-3, -2, 0, 1
Solve -v**5/3 + 4*v**4/3 + v**3 - 10*v**2/3 - 8*v/3 = 0.
-1, 0, 2, 4
Suppose 10*w**4 + 2*w**3 - 46*w**2 - 2*w + 36 = 0. What is w?
-2, -1, 1, 9/5
Solve 4*v**2 - 632*v + 24964 = 0 for v.
79
Let 2*u**4/7 + 64*u**3/7 + 52*u**2/7 - 304*u/7 + 186/7 = 0. What is u?
-31, -3, 1
Find k such that -2*k**5 - 14*k**4 - 30*k**3 - 18*k**2 = 0.
-3, -1, 0
Factor 15*f**4 + 65*f**3 + 10*f**2 - 40*f.
5*f*(f + 1)*(f + 4)*(3*f - 2)
Let -5*x**2 + 40*x - 35 = 0. Calculate x.
1, 7
Let s**3/3 + 16*s**2/3 + 73*s/3 + 30 = 0. What is s?
-9, -5, -2
Let n**5 + 6*n**4 - 99*n**3 - 104*n**2 = 0. What is n?
-13, -1, 0, 8
Factor -5*h**2/4 - 75*h/2 + 155/4.
-5*(h - 1)*(h + 31)/4
Solve -3*u**5/4 + 7*u**4/4 + 6*u**3 - 3*u**2 - 4*u = 0 for u.
-2, -2/3, 0, 1, 4
Factor -5*q**3 + 35*q**2 + 40*q.
-5*q*(q - 8)*(q + 1)
What is g in 2*g**5/13 + 2*g**4/13 - 18*g**3/13 + 22*g**2/13 - 8*g/13 = 0?
-4, 0, 1
What is o in 245*o**5 + 875*o**4 - 85*o**3 - 2155*o**2 - 160*o + 1280 = 0?
-16/7, -1, 1
Factor a**2 - 42*a + 80.
(a - 40)*(a - 2)
Factor u**3 - 367*u**2/3 + 1456*u/9 - 484/9.
(u - 121)*(3*u - 2)**2/9
Solve t**3 - 222*t**2 + 16428*t - 405224 = 0 for t.
74
Find p such that 15*p**4 - 1105*p**3 + 705*p**2 + 1845*p - 1460 = 0.
-4/3, 1, 73
Factor 6*n**4 - 3*n**3 - 39*n**2 - 18*n.
3*n*(n - 3)*(n + 2)*(2*n + 1)
Factor -5*o**5 + 45*o**4 + 50*o**3.
-5*o**3*(o - 10)*(o + 1)
Suppose 38*c**3 + 974*c**2/3 + 1064*c/3 - 392 = 0. Calculate c.
-7, -42/19, 2/3
Factor z**5/2 + 24*z**4 + 621*z**3/2 + 529*z**2.
z**2*(z + 2)*(z + 23)**2/2
Factor -3*c**3 - 6*c**2 + 9*c.
-3*c*(c - 1)*(c + 3)
Factor 5*s**2 + 140*s - 825.
5*(s - 5)*(s + 33)
Find j, given that 15*j**4/2 - 8635*j**3/4 + 7875*j**2/2 - 5715*j/4 - 715/2 = 0.
-1/6, 1, 286
Factor -2*i**2/3 + 18*i + 56/3.
-2*(i - 28)*(i + 1)/3
Solve -f**5 - 15*f**4 - 81*f**3 - 189*f**2 - 162*f = 0 for f.
-6, -3, 0
Suppose q**5/4 + 101*q**4/4 + 95*q**3/2 - 198*q**2 = 0. Calculate q.
-99, -4, 0, 2
Factor -r**3 + 14*r**2 - 41*r - 56.
-(r - 8)*(r - 7)*(r + 1)
Solve 5*y**2 - 205*y - 1680 = 0 for y.
-7, 48
Solve 2*l**3 + 6*l**2 - 8*l = 0 for l.
-4, 0, 1
Factor 22*m**3/7 - 270*m**2/7 - 292*m/7.
2*m*(m + 1)*(11*m - 146)/