Find j, given that 69*j**3/8 - 129*j**2/4 + 135*j/8 + 27/4 = 0.
-6/23, 1, 3
Factor -420*u**2 - 415*u + 5.
-5*(u + 1)*(84*u - 1)
Suppose 56*a**4/9 + 130*a**3/9 + 31*a**2/3 + 20*a/9 + 1/9 = 0. What is a?
-1, -1/4, -1/14
Factor -b**4 + 524*b**3 - 68117*b**2 - 138338*b.
-b*(b - 263)**2*(b + 2)
Factor -3*g**4/2 - g**3/2 + g**2.
-g**2*(g + 1)*(3*g - 2)/2
Factor 5*w**4 - 760*w**3 + 39000*w**2 - 700000*w + 1250000.
5*(w - 50)**3*(w - 2)
Factor m**4/9 - 73*m**3/9 - 79*m**2/9 + 373*m/9 - 74/3.
(m - 74)*(m - 1)**2*(m + 3)/9
What is l in 2*l**4/7 - 164*l**3/7 - 166*l**2/7 = 0?
-1, 0, 83
Factor x**2 + 162*x + 161.
(x + 1)*(x + 161)
Determine o, given that -o**4 - 27*o**3 + 69*o**2 + 4427*o + 4332 = 0.
-19, -1, 12
Find g, given that 4*g**3 - 48*g**2 - 4*g + 48 = 0.
-1, 1, 12
Factor n**5 - 10*n**4 + 16*n**3.
n**3*(n - 8)*(n - 2)
Let 9*p**4 - 3*p**3 - 26*p**2 + 28*p - 8 = 0. Calculate p.
-2, 2/3, 1
Find s such that -5*s**5 - 10*s**4 + 145*s**3 - 210*s**2 = 0.
-7, 0, 2, 3
Factor 4*l**3 - 1036*l + 4680.
4*(l - 13)*(l - 5)*(l + 18)
Factor -3*u**3 - 3*u**2 + 30*u - 24.
-3*(u - 2)*(u - 1)*(u + 4)
Factor -3*r**2 + 3*r + 468.
-3*(r - 13)*(r + 12)
Factor -2*i**2 + 76*i - 74.
-2*(i - 37)*(i - 1)
Let 2*q**5/23 + 34*q**4/23 + 90*q**3/23 + 86*q**2/23 + 28*q/23 = 0. Calculate q.
-14, -1, 0
Suppose -2*z**2/3 + 8*z/3 - 8/3 = 0. What is z?
2
Suppose -2*y**4 - 12*y**3 + 24*y**2 + 76*y + 42 = 0. Calculate y.
-7, -1, 3
Let 98*f**4/5 + 5152*f**3/5 + 69168*f**2/5 + 38272*f/5 + 5408/5 = 0. What is f?
-26, -2/7
Solve 6*y**5 - 196*y**4 + 122*y**3 + 196*y**2 - 128*y = 0 for y.
-1, 0, 2/3, 1, 32
Solve -3*t**3 - 5796*t**2 - 3732624*t - 801269952 = 0.
-644
Suppose m**2/3 - 5*m/3 + 2 = 0. Calculate m.
2, 3
Factor p**5 + 20*p**4 + 18*p**3 - 20*p**2 - 19*p.
p*(p - 1)*(p + 1)**2*(p + 19)
Factor o**2/7 - 4*o/7 - 5/7.
(o - 5)*(o + 1)/7
Find k, given that -10*k**4 + 25*k**3 - 15*k**2 - 5*k + 5 = 0.
-1/2, 1
Factor q**3/6 - 6*q**2 + 130*q/3.
q*(q - 26)*(q - 10)/6
Factor 4*d**2/3 + 92*d/9 + 56/9.
4*(d + 7)*(3*d + 2)/9
Factor 10*k**4/11 - 224*k**3/11 + 118*k**2 - 44*k.
2*k*(k - 11)**2*(5*k - 2)/11
Find a, given that -2*a**5/15 + 2*a**4/5 - 2*a**3/15 - 2*a**2/5 + 4*a/15 = 0.
-1, 0, 1, 2
Factor 3*a**4/2 + 15*a**3 + 87*a**2/2 + 48*a + 18.
3*(a + 1)**2*(a + 2)*(a + 6)/2
Let b**5/5 - 2*b**4/5 - 22*b**3/5 - 16*b**2/5 + 21*b/5 + 18/5 = 0. What is b?
-3, -1, 1, 6
Suppose 2*r**4/9 + 20*r**3/9 + 58*r**2/9 + 16*r/9 - 32/3 = 0. Calculate r.
-4, -3, 1
Find m such that -m**2/4 + 323*m/2 - 104329/4 = 0.
323
Find z, given that 4*z**5 + 212*z**4 + 612*z**3 + 604*z**2 + 200*z = 0.
-50, -1, 0
Factor 45*b**2 - 1540*b + 340.
5*(b - 34)*(9*b - 2)
Find b such that 3*b**4/2 - 21*b**3 - 219*b**2/2 + 21*b + 108 = 0.
-4, -1, 1, 18
Factor k**3/4 - 239*k**2/2 + 14160*k + 28800.
(k - 240)**2*(k + 2)/4
Let i**4/3 - 10*i**3/3 + 12*i**2 - 56*i/3 + 32/3 = 0. What is i?
2, 4
Find i, given that i**2 + 208*i + 10816 = 0.
-104
Suppose 2*w**4/3 + 24*w**3 = 0. Calculate w.
-36, 0
Let 578*u**4 - 1428*u**3 + 1154*u**2 - 336*u + 32 = 0. What is u?
4/17, 1
Factor -24*y**3 - 428*y**2 + 1584*y - 252.
-4*(y - 3)*(y + 21)*(6*y - 1)
Find h such that h**4/5 - 2*h**3/5 - 4*h**2/5 + 2*h/5 + 3/5 = 0.
-1, 1, 3
Factor 4*h**3 - 300*h**2 + 6528*h - 32368.
4*(h - 34)**2*(h - 7)
Factor -h**2 + 14*h + 207.
-(h - 23)*(h + 9)
Factor -2*n**3 - 88*n**2.
-2*n**2*(n + 44)
Let g**5/3 + g**4 - g**3/3 - g**2 = 0. What is g?
-3, -1, 0, 1
Let -r**3/2 - 9*r**2 = 0. What is r?
-18, 0
Factor -4*i**2 - 664*i - 27556.
-4*(i + 83)**2
Let 5*t**2 + 2695*t + 8040 = 0. Calculate t.
-536, -3
Solve -4*i**4 + 20*i**3 - 32*i**2 + 16*i = 0.
0, 1, 2
Factor -i**2/3 + 2*i/3 + 133.
-(i - 21)*(i + 19)/3
Solve -2*z**4/9 + 8*z**3/9 - 2*z**2/3 = 0 for z.
0, 1, 3
Factor -2*n**3/11 + 96*n**2/11.
-2*n**2*(n - 48)/11
Let 5*f**4 - 55*f**3 + 75*f**2 + 135*f = 0. Calculate f.
-1, 0, 3, 9
Find h, given that h**2 - 12*h + 11 = 0.
1, 11
Factor 3*k**3/4 - 51*k**2/4 - 27*k/2.
3*k*(k - 18)*(k + 1)/4
Determine y, given that 4*y**4/5 + 197*y**3/5 + 241*y**2/5 + 48*y/5 = 0.
-48, -1, -1/4, 0
Suppose -2*h**4 - 56*h**3 - 588*h**2 - 2744*h - 4802 = 0. What is h?
-7
Factor -2*d**2/7 + 30*d/7.
-2*d*(d - 15)/7
Factor 5*t**3 - 21480*t**2 + 30759360*t - 14682467840.
5*(t - 1432)**3
Factor -u**5 - 22*u**4 - 156*u**3 - 392*u**2 - 320*u.
-u*(u + 2)**2*(u + 8)*(u + 10)
What is n in -14*n**3 + 66*n**2 - 36*n - 16 = 0?
-2/7, 1, 4
Find s, given that -3*s**5 + 2646*s**4 + 5304*s**3 + 6*s**2 - 5301*s - 2652 = 0.
-1, 1, 884
Let t**3/6 - 7*t**2/2 + 45*t/2 - 81/2 = 0. Calculate t.
3, 9
Factor -6*j**2 + 116*j + 210.
-2*(j - 21)*(3*j + 5)
Factor 4*u**5 - 104*u**4 - 120*u**3 + 304*u**2 + 532*u + 216.
4*(u - 27)*(u - 2)*(u + 1)**3
Factor -c**3/3 - 20*c**2 - 231*c + 2178.
-(c - 6)*(c + 33)**2/3
Determine j, given that -5*j**2 - 50*j - 125 = 0.
-5
Find p such that -p**3/9 + 8*p**2/3 = 0.
0, 24
Determine f so that 3*f**3/4 - 423*f**2/4 + 14697*f/4 + 15123/4 = 0.
-1, 71
Factor 2*a**2/17 - 6490*a/17.
2*a*(a - 3245)/17
Suppose 18*k**3 - 1770*k**2 - 1186*k - 198 = 0. What is k?
-1/3, 99
Suppose f**4 - 11*f**3 - 25*f**2 - 13*f = 0. Calculate f.
-1, 0, 13
Factor 2*h**2 - 8*h - 64.
2*(h - 8)*(h + 4)
Factor 3*i**3/5 + 11181*i**2/5 - 22371*i/5 + 11187/5.
3*(i - 1)**2*(i + 3729)/5
What is x in 3*x**5 - 6*x**4 - 24*x**3 = 0?
-2, 0, 4
Factor -5*o**2 - 25*o.
-5*o*(o + 5)
Factor 3*x**2/8 + 33*x + 726.
3*(x + 44)**2/8
Factor 3*m**3 + 279*m**2 - 567*m + 285.
3*(m - 1)**2*(m + 95)
Determine s so that -3*s**4/7 - 16980*s**3/7 - 24026700*s**2/7 = 0.
-2830, 0
Determine x, given that 3*x**3/7 - 978*x**2/7 + 975*x/7 = 0.
0, 1, 325
What is u in u**3/3 - 3*u**2 + 14*u/3 = 0?
0, 2, 7
Suppose -6*s**3 + 46*s**2 + 16*s = 0. Calculate s.
-1/3, 0, 8
Factor -4*d**3 + 48*d + 64.
-4*(d - 4)*(d + 2)**2
Factor s**3 + 56*s**2/3 - 28*s - 80/3.
(s - 2)*(s + 20)*(3*s + 2)/3
Factor 6*f**3 - 51*f**2/4 - 33*f/2 + 9/4.
3*(f - 3)*(f + 1)*(8*f - 1)/4
Suppose -3*w**3 + 123*w**2 = 0. Calculate w.
0, 41
Factor u**3 + 102*u**2 + 200*u.
u*(u + 2)*(u + 100)
Suppose -8*r**5 - 108*r**4 - 456*r**3 - 656*r**2 - 48*r + 252 = 0. Calculate r.
-7, -3, -1, 1/2
Factor -3*s**5/5 - 18*s**4/5 - 42*s**3/5 - 48*s**2/5 - 27*s/5 - 6/5.
-3*(s + 1)**4*(s + 2)/5
Factor -q**5 + 12*q**3 - 16*q**2.
-q**2*(q - 2)**2*(q + 4)
Solve -5*g**3 - 2245*g**2 - 8915*g - 6675 = 0.
-445, -3, -1
Solve -4*m**5 + 152*m**4 + 320*m**3 + 8*m**2 - 316*m - 160 = 0.
-1, 1, 40
Factor -4*a**2/5 - 43168*a/5 - 116467264/5.
-4*(a + 5396)**2/5
Suppose -g**3/4 + g**2/2 + 5*g/4 - 3/2 = 0. What is g?
-2, 1, 3
Factor 1682*g**3/3 - 16588*g**2/3 - 2312*g/3 - 80/3.
2*(g - 10)*(29*g + 2)**2/3
Solve 3*p**3 - 72*p**2 - 153*p - 78 = 0.
-1, 26
Determine w so that w**3/3 + w**2/3 - 2*w = 0.
-3, 0, 2
Solve -30*p**5 - 34*p**4 + 176*p**3 + 24*p**2 = 0 for p.
-3, -2/15, 0, 2
Factor -3*n**3 + 39*n - 36.
-3*(n - 3)*(n - 1)*(n + 4)
Let -5*j**4 + 10*j**3 = 0. What is j?
0, 2
Factor -2*f**2/11 + 666*f/11.
-2*f*(f - 333)/11
Determine i so that -i**2/4 + 15*i/2 = 0.
0, 30
What is a in -a**3 + 4*a**2 + 4*a - 16 = 0?
-2, 2, 4
What is a in -7*a**4/4 - 71*a**3/2 + 107*a**2/4 + 21*a/2 = 0?
-21, -2/7, 0, 1
Factor 4*u**2/5 - 112*u/5 + 208/5.
4*(u - 26)*(u - 2)/5
Let -36*z**4 - 4800*z**3 - 163168*z**2 - 211200*z - 69696 = 0. Calculate z.
-66, -2/3
Factor 4*b**2 - 244*b.
4*b*(b - 61)
Factor 4*r**3 - 32*r**2 - 12*r + 360.
4*(r - 6)*(r - 5)*(r + 3)
Let 3*o**5/2 + 3*o**4 - 9*o**3/2 - 6*o**2 + 6*o = 0. Calculate o.
-2, 0, 1
Suppose -2*h**5/5 + 2*h**4/5 + 6*h**3/5 - 2*h**2/5 - 4*h/5 = 0. What is h?
-1, 0, 1, 2
Factor 3*m**5/5 - 18*m**4/5 - 18*m**3/5 + 84*m**2/5 + 27*m + 54/5.
3*(m - 6)*(m - 3)*(m + 1)**3/5
Factor -y**3/2 - y**2/2 + y/2 + 1/2.
-(y - 1)*(y + 1)**2/2
Let q**3/8 - 163*q**2/4 + 1291*q/8 - 483/4 = 0. Calculate q.
1, 3, 322
Find m such that 4*m**3 - 8*m**2 - 4*m + 8 = 0.
-1, 1, 2
Find v, given that -4*v**2 - 180*v = 0.
-45, 0
Determine p, given that -5*p**4 - 55*p**3 = 0.
-11, 0
Find s such that -s**2 + 168*s - 332 = 0.
2, 166
Factor -4*l**4 + 28*l**3 + 36*l**2 - 28*l - 32.
-4*(l - 8)*(l - 1)*(l + 1)**2
Let -605*c**5 - 501160*c**4 - 138441620*c**3 - 12770161200*c**2 - 4629977280*c - 420491520 = 0. Calculate c.
-276, -2/11
Solve -3*u**3/7 - 3*u**2/7 + 30*u/7 - 24/7 = 0 for u.
-4, 1, 2
Factor 3*p**3 - 141*p**2 - 303*p + 441.
3*(p - 49)*(p - 1)*(p + 3)
Facto