*c**2/3 + 35*c/6 + 3 = 0. Calculate c.
-1, 18
Solve -3*c**2 - 8*c - 4 = 0.
-2, -2/3
Find p such that 3*p**3/4 + 201*p**2/4 - 51*p = 0.
-68, 0, 1
Factor 5*k**4 + 165*k**3 + 1060*k**2 - 5580*k - 6480.
5*(k - 4)*(k + 1)*(k + 18)**2
Determine k, given that 2*k**2/3 - 128*k/3 - 130/3 = 0.
-1, 65
Solve 2*f**4/3 + 76*f**3/3 + 142*f**2/3 - 76*f/3 - 48 = 0.
-36, -2, -1, 1
Solve d**4/4 + 17*d**3/2 + 33*d**2/4 = 0.
-33, -1, 0
Factor -w**3/4 + 9*w**2/2 + 169*w/4 + 75/2.
-(w - 25)*(w + 1)*(w + 6)/4
Factor -3*g**3 - 219*g**2 - 4929*g - 31713.
-3*(g + 11)*(g + 31)**2
What is n in -4*n**4 + 176*n**3 - 1084*n**2 + 1776*n = 0?
0, 3, 4, 37
Factor 4*p**2 + 180*p + 176.
4*(p + 1)*(p + 44)
Factor 4*n**3/5 + 552*n**2 + 126960*n + 9733600.
4*(n + 230)**3/5
Find z, given that 9*z**2 + 8*z - 1 = 0.
-1, 1/9
Factor -l**2 + 29*l.
-l*(l - 29)
Let 5*n**3 + 43305*n**2 + 93787800*n + 93744500 = 0. Calculate n.
-4330, -1
Factor 3*q**2/2 - 207*q/2.
3*q*(q - 69)/2
Let -4*j**2 - 28*j + 32 = 0. Calculate j.
-8, 1
What is y in 2*y**2 - 72*y + 256 = 0?
4, 32
Factor -h**3/5 - 94*h**2/5 - 37*h - 92/5.
-(h + 1)**2*(h + 92)/5
Let -8*a**5/5 - 382*a**4/5 + 488*a**3/5 - 98*a**2/5 = 0. What is a?
-49, 0, 1/4, 1
Suppose -14*y**4/13 + 24*y**3/13 + 274*y**2/13 - 204*y/13 - 80/13 = 0. What is y?
-4, -2/7, 1, 5
Suppose 3*t**5/8 - 21*t**4/4 - 105*t**3/8 + 15*t**2 + 93*t/2 + 24 = 0. What is t?
-2, -1, 2, 16
Factor -5*h**2 - 26240*h - 34426880.
-5*(h + 2624)**2
What is p in -18*p**4 - 202*p**3 - 548*p**2 - 112*p = 0?
-7, -4, -2/9, 0
What is z in -z**2/4 + 19*z - 361 = 0?
38
Factor 2*b**3/5 + 21322*b**2/5 + 11367824*b + 11363560.
2*(b + 1)*(b + 5330)**2/5
Suppose 2*i**4/5 + 14*i**3/5 + 16*i**2/5 - 32*i/5 = 0. Calculate i.
-4, 0, 1
Factor -x**4 - 23*x**3 - 168*x**2 - 428*x - 352.
-(x + 2)**2*(x + 8)*(x + 11)
Factor -4*c**5 - 156*c**4 + 844*c**3 - 1556*c**2 + 1224*c - 352.
-4*(c - 2)*(c - 1)**3*(c + 44)
Factor -c**3/5 - 21*c**2 - 408*c/5 - 404/5.
-(c + 2)**2*(c + 101)/5
Suppose -4*l**4 + 568*l**3 - 20164*l**2 = 0. Calculate l.
0, 71
Solve -5120*i**5/3 + 1299200*i**4/3 - 131868800*i**3/3 + 6692341600*i**2/3 - 169818168100*i/3 + 1723654406215/3 = 0.
203/4
Factor -i**4/7 + 8*i**3/7 - 17*i**2/7 + 10*i/7.
-i*(i - 5)*(i - 2)*(i - 1)/7
Factor -4*p**2 - 532*p + 536.
-4*(p - 1)*(p + 134)
Factor -3*g**2/4 + 21*g + 45.
-3*(g - 30)*(g + 2)/4
Factor 9*w**5 - 74*w**4 + 205*w**3 - 204*w**2 + 36*w.
w*(w - 3)**2*(w - 2)*(9*w - 2)
Find m, given that -2*m**4 + 6*m**3 + 766*m**2 + 1506*m + 748 = 0.
-17, -1, 22
Suppose 3*w**3/5 - 27*w**2 - 426*w/5 - 288/5 = 0. What is w?
-2, -1, 48
Find u such that 3*u**3 + 84*u**2 + 159*u + 78 = 0.
-26, -1
Factor -q**4/3 + 3*q**3 - q**2 - 37*q/3 - 8.
-(q - 8)*(q - 3)*(q + 1)**2/3
Determine y, given that 4*y**2/7 - 104*y/7 + 60 = 0.
5, 21
Suppose 2*s**2 + 24*s = 0. What is s?
-12, 0
Factor -2*p**4 - 12*p**3 - 10*p**2.
-2*p**2*(p + 1)*(p + 5)
Suppose -2*d**4 + 4*d**3 + 18*d**2 - 4*d - 16 = 0. What is d?
-2, -1, 1, 4
Determine t, given that -4*t**2 + 20*t = 0.
0, 5
Determine u, given that 6*u**4 + 4*u**3/9 - 6*u**2 - 4*u/9 = 0.
-1, -2/27, 0, 1
What is g in -g**2/5 - 9*g/5 + 2 = 0?
-10, 1
Factor -a**3 + 203*a**2 - 800*a + 796.
-(a - 199)*(a - 2)**2
Factor -j**2/5 + 597*j/5 + 598/5.
-(j - 598)*(j + 1)/5
Factor -5*n**2 + 65*n - 110.
-5*(n - 11)*(n - 2)
Find k, given that -k**2/5 + 3*k/5 = 0.
0, 3
Suppose 360*r**4/11 - 1896*r**3/11 - 1526*r**2/11 - 344*r/11 - 24/11 = 0. Calculate r.
-2/5, -1/6, 6
Factor 2*f**2/5 - 124*f/5 + 122/5.
2*(f - 61)*(f - 1)/5
Find i, given that -i**2/2 - 11*i/2 - 15 = 0.
-6, -5
Factor 4*k**4 - 28*k**3 + 24*k**2 + 128*k - 128.
4*(k - 4)**2*(k - 1)*(k + 2)
Determine c so that -128*c**4 + 5088*c**3 - 49922*c**2 - 12720*c - 800 = 0.
-1/8, 20
Factor 4*l**4/7 - 4*l**3 + 8*l**2 - 32*l/7.
4*l*(l - 4)*(l - 2)*(l - 1)/7
Determine m, given that -70*m**3 - 92*m**2/3 + 16*m/3 = 0.
-4/7, 0, 2/15
Factor n**4/7 - 16*n**3/7 + 11*n**2 - 14*n.
n*(n - 7)**2*(n - 2)/7
What is m in -3*m**3/2 - 33*m**2 - 108*m = 0?
-18, -4, 0
Factor b**2 - 25*b - 26.
(b - 26)*(b + 1)
Find v such that -5*v**5 - 495*v**4 + 505*v**3 + 495*v**2 - 500*v = 0.
-100, -1, 0, 1
Factor 2*n**2/3 + 4*n.
2*n*(n + 6)/3
Factor 4*u**3 + 424*u**2 + 1612*u - 2040.
4*(u - 1)*(u + 5)*(u + 102)
Factor -5*k**2/2 + 129*k + 52.
-(k - 52)*(5*k + 2)/2
Let 5*p**5 - 30*p**4 + 25*p**3 + 80*p**2 - 60*p - 80 = 0. Calculate p.
-1, 2, 4
Let 3*b**4/2 - 213*b**3/2 + 105*b**2 = 0. What is b?
0, 1, 70
Factor -h**3/5 - 468*h**2/5 - 372*h - 1856/5.
-(h + 2)**2*(h + 464)/5
Find o such that o**2/4 - 77*o/2 + 5929/4 = 0.
77
Factor -u**2/4 + 11*u/4 - 9/2.
-(u - 9)*(u - 2)/4
Find c such that -c**5/5 - 14*c**4/5 - 9*c**3 + 144*c**2/5 + 972*c/5 + 1296/5 = 0.
-6, -3, 4
Determine h so that -4*h**4 + 28*h**3 + 208*h**2 + 368*h + 192 = 0.
-2, -1, 12
Find q such that 2*q**4 - 24*q**3 + 72*q**2 - 64*q = 0.
0, 2, 8
Find x such that x**2/4 - 31*x/2 - 32 = 0.
-2, 64
Factor 2*v**3/9 + 56*v**2/9 - 248*v/9 + 256/9.
2*(v - 2)**2*(v + 32)/9
Factor -2*o**3/7 - 60*o**2/7 + 18*o - 64/7.
-2*(o - 1)**2*(o + 32)/7
Factor 3*o**3 - 1449*o**2 + 172773*o + 531441.
3*(o - 243)**2*(o + 3)
Factor 2*r**3/15 - 46*r**2/15 + 28*r/5.
2*r*(r - 21)*(r - 2)/15
Let -2*o**5 - 94*o**4 + 408*o**3 - 32*o**2 - 1600*o + 1632 = 0. What is o?
-51, -2, 2
Factor -2*b**4 + 8*b**3 + 24*b**2.
-2*b**2*(b - 6)*(b + 2)
Suppose -3*y**2 - 624*y - 32448 = 0. What is y?
-104
Factor 2*k**5/15 - 4*k**4/3 + 16*k**3/5 - 44*k**2/15 + 14*k/15.
2*k*(k - 7)*(k - 1)**3/15
Let 2*i**2/3 - 14*i/3 + 4 = 0. Calculate i.
1, 6
Let -2*g**3/3 - 90*g**2 + 824*g/3 - 184 = 0. What is g?
-138, 1, 2
Suppose 2*m**5 + 22*m**4 - 26*m**3 - 22*m**2 + 24*m = 0. Calculate m.
-12, -1, 0, 1
Determine x, given that 4*x**4/3 - 16*x**3/3 - 68*x**2/3 + 32*x + 48 = 0.
-3, -1, 2, 6
Find a such that 3*a**4/4 + 96*a**3 + 735*a**2/4 - 1317*a/2 + 378 = 0.
-126, -4, 1
Find y, given that 5*y**2 + 3915*y - 3920 = 0.
-784, 1
Suppose -x**4/3 + 13*x**3/3 - 4*x**2 = 0. Calculate x.
0, 1, 12
Find u, given that -9*u**2/2 - 17*u + 4 = 0.
-4, 2/9
Factor -4*f**2 - 28*f - 24.
-4*(f + 1)*(f + 6)
Solve 2*u**2/3 + 110*u/3 - 112/3 = 0.
-56, 1
Find g such that 4*g**5/7 - 50*g**4/7 + 108*g**3/7 + 718*g**2/7 - 2780*g/7 + 1200/7 = 0.
-4, 1/2, 5, 6
Factor -88*q**2/7 + 3188*q/7 - 720/7.
-4*(q - 36)*(22*q - 5)/7
Solve 4*r**2 + 3412*r - 3416 = 0 for r.
-854, 1
Factor -3*x**3/4 - 147*x**2/4 - 510*x - 2175.
-3*(x + 10)**2*(x + 29)/4
Factor -q**5/3 + 16*q**4/3 - 5*q**3.
-q**3*(q - 15)*(q - 1)/3
Factor 2*x**5 - 4*x**4 - 14*x**3 + 40*x**2 - 24*x.
2*x*(x - 2)**2*(x - 1)*(x + 3)
Factor -4*l**3 - 2468*l**2 - 381920*l - 379456.
-4*(l + 1)*(l + 308)**2
What is u in -20*u**3 + 5945*u**2 - 1485*u = 0?
0, 1/4, 297
Factor -4*k**3 + 8692*k**2.
-4*k**2*(k - 2173)
Let 3*l**5 - 751*l**4 - 1264*l**3 + 1004*l**2 + 1008*l = 0. What is l?
-2, -2/3, 0, 1, 252
Suppose s**3/4 - 7*s**2/2 - 5*s + 150 = 0. What is s?
-6, 10
Determine r, given that -18*r**2/5 - 267*r/5 - 42 = 0.
-14, -5/6
Suppose -45*s**5 - 325*s**4 - 475*s**3 + 225*s**2 + 520*s + 100 = 0. What is s?
-5, -2, -1, -2/9, 1
Factor -r**2/4 + 1535*r - 2356225.
-(r - 3070)**2/4
Solve -4*h**2 + 564*h = 0.
0, 141
Find z, given that 3*z**5 - 24*z**4 - 222*z**3 + 1080*z**2 + 6075*z = 0.
-5, 0, 9
Suppose -4*m**3 + 184*m**2 + 1516*m - 1696 = 0. What is m?
-8, 1, 53
Find u such that -4*u**3 - 1132*u**2 - 80652*u - 79524 = 0.
-141, -1
Suppose -f**2/2 + 58*f + 118 = 0. Calculate f.
-2, 118
Let b**2/3 + 25*b + 72 = 0. Calculate b.
-72, -3
Factor -3*h**3 - 105*h**2 - 1056*h - 2304.
-3*(h + 3)*(h + 16)**2
Find v such that 2*v**2 - 964*v + 2874 = 0.
3, 479
Factor -k**2 + 354*k.
-k*(k - 354)
Factor -v**2/4 + 5*v/4 + 3/2.
-(v - 6)*(v + 1)/4
Solve 2*w**2/3 + 44*w/3 + 78 = 0.
-13, -9
Factor 3*x**2/7 + 27*x/7 + 6.
3*(x + 2)*(x + 7)/7
Find f, given that -3*f**5 + 24*f**4 + 30*f**3 - 24*f**2 - 27*f = 0.
-1, 0, 1, 9
Factor w**2 - 5*w - 84.
(w - 12)*(w + 7)
Factor h**4/5 - h**3 - 4*h**2/5 + 4*h.
h*(h - 5)*(h - 2)*(h + 2)/5
Solve -50*y**4/9 - y**3/9 = 0.
-1/50, 0
Factor -4*o**2/3 - 332*o - 20667.
-(2*o + 249)**2/3
Factor -2*r**4/5 - 434*r**3/5 - 6390*r**2 - 836806*r/5 - 2863288/5.
-2*(r + 4)*(r + 71)**3/5
Determine m, given that -5*m**5 - 75*m**4 - 370*m**3 - 550*m**2 + 375*m + 625 = 0.
-5, -1, 1
Factor 2*w**3/7 - 6*w**2/7 - 2*w/7 + 6/7.
2*(w - 3)*(w - 1)*(w + 