(z - 1)*(z + 1)
Determine c, given that 3*c**3 - 45*c**2 + 186*c - 216 = 0.
2, 4, 9
Determine x, given that 5*x**3 - 70*x**2 - 105*x + 450 = 0.
-3, 2, 15
Determine g, given that -g**3/7 + 8*g**2 - 23*g + 106/7 = 0.
1, 2, 53
Factor -d**3/4 - 87*d**2/2 - 171*d - 170.
-(d + 2)**2*(d + 170)/4
Let 2*t**4 - 16*t**3 + 12*t**2 + 80*t + 50 = 0. Calculate t.
-1, 5
Factor -3*o**3 - 1296*o**2 - 186624*o - 8957952.
-3*(o + 144)**3
Determine u so that 2*u**5 - 10*u**4 - 16*u**3 + 152*u**2 - 256*u + 128 = 0.
-4, 1, 2, 4
Determine g so that -2*g**5 - 90*g**4 - 1054*g**3 - 878*g**2 + 1056*g + 968 = 0.
-22, -1, 1
Let 25*c**5 - 455*c**4 - 876*c**3 - 476*c**2 - 80*c = 0. What is c?
-1, -2/5, 0, 20
Factor h**2 + 1723*h.
h*(h + 1723)
Suppose j**2/5 - 4*j/5 + 3/5 = 0. What is j?
1, 3
Find y, given that -4*y**4/5 + 30*y**3 - 14*y**2 - 30*y + 74/5 = 0.
-1, 1/2, 1, 37
Factor -11*p**2/4 + 23*p/2 - 2.
-(p - 4)*(11*p - 2)/4
Let 44*w**2 - 5096*w - 928 = 0. What is w?
-2/11, 116
Factor -2*p**2 - 6*p + 8.
-2*(p - 1)*(p + 4)
Factor 13*k**3/4 + 3*k**2 - k/4.
k*(k + 1)*(13*k - 1)/4
Determine i so that -3*i**2 + 4032*i - 1354752 = 0.
672
Factor -2*r**3/7 - r**2/7 + 2*r/7 + 1/7.
-(r - 1)*(r + 1)*(2*r + 1)/7
Factor 3*k**2/2 - 15*k - 84.
3*(k - 14)*(k + 4)/2
What is w in -16*w**5 - 1580*w**4 - 37972*w**3 + 52792*w**2 + 69200*w - 20000 = 0?
-50, -1, 1/4, 2
Determine j so that j**5/3 + 29*j**4/3 + 307*j**3/3 + 489*j**2 + 1080*j + 900 = 0.
-10, -3
Factor -a**3 + a**2 + 5*a + 3.
-(a - 3)*(a + 1)**2
Find k such that 2*k**5/17 + 20*k**4/17 - 86*k**3/17 - 80*k**2/17 + 312*k/17 = 0.
-13, -2, 0, 2, 3
What is t in -t**5/4 + 5*t**4/2 - 17*t**3/4 + 2*t**2 = 0?
0, 1, 8
Suppose -3*n**5 - 96*n**4 - 465*n**3 + 96*n**2 + 468*n = 0. Calculate n.
-26, -6, -1, 0, 1
Let -3*y**4/4 - y**3 + 43*y**2/4 - 14*y + 5 = 0. What is y?
-5, 2/3, 1, 2
Suppose -r**3/3 + 2*r**2 + 25*r/3 + 6 = 0. Calculate r.
-2, -1, 9
Factor -2*v**2/11 - 224*v/11 - 6272/11.
-2*(v + 56)**2/11
Solve -5*q**4 - 160*q**3 + 205*q**2 + 1260*q - 1980 = 0.
-33, -3, 2
Factor 3*d**3/5 + 14976*d**2/5 + 3741003*d + 7470030.
3*(d + 2)*(d + 2495)**2/5
Factor -2*c**3 - 22*c**2 + 52*c.
-2*c*(c - 2)*(c + 13)
What is v in v**5/6 - 7*v**4/6 + 8*v**3/3 - 2*v**2 = 0?
0, 2, 3
Determine f so that -9*f**3/2 + 209*f**2/2 - 365*f + 76 = 0.
2/9, 4, 19
Solve -4*u**5 - 40*u**4 + 44*u**3 + 512*u**2 + 752*u + 320 = 0 for u.
-10, -2, -1, 4
Factor 2*i**2 - 428*i + 22898.
2*(i - 107)**2
Determine f so that -84*f**5/5 - 116*f**4/5 + 824*f**3/5 - 336*f**2/5 - 416*f/5 + 128/5 = 0.
-4, -2/3, 2/7, 1, 2
Factor -d**4/5 + 6*d**3/5 + 13*d**2/5 - 42*d/5.
-d*(d - 7)*(d - 2)*(d + 3)/5
Suppose 20*g**3/7 - 368*g**2/7 + 484*g/7 - 136/7 = 0. What is g?
2/5, 1, 17
Solve -l**5/7 + 33*l**4/7 - 61*l**3/7 - 33*l**2/7 + 62*l/7 = 0 for l.
-1, 0, 1, 2, 31
Determine v, given that -3*v**3 - 3*v**2 + 48*v + 48 = 0.
-4, -1, 4
Suppose -3*f**3/7 - 174*f**2/7 + 927*f/7 - 162 = 0. What is f?
-63, 2, 3
Factor 4*m**2/7 - 4672*m/7 + 1364224/7.
4*(m - 584)**2/7
Factor 40*u**3 + 92*u**2 + 64*u + 12.
4*(u + 1)**2*(10*u + 3)
What is d in -2*d**4 + 14*d**3 - 28*d**2 + 16*d = 0?
0, 1, 2, 4
Factor -2*q**2/7 + 46*q/7 - 32.
-2*(q - 16)*(q - 7)/7
Find d, given that d**5 - 15*d**4 + 34*d**3 + 228*d**2 - 728*d + 480 = 0.
-4, 1, 2, 6, 10
Let -104*j**3/3 + 308*j**2/3 - 196*j/3 - 8/3 = 0. Calculate j.
-1/26, 1, 2
Suppose 4*a**2 - 236*a - 1008 = 0. Calculate a.
-4, 63
Factor 2*l**2/5 - 16814*l/5 + 16812/5.
2*(l - 8406)*(l - 1)/5
Factor -15*l**2 + 14751*l - 5898.
-3*(l - 983)*(5*l - 2)
Find d such that 4*d**4 + 640*d**3 + 636*d**2 = 0.
-159, -1, 0
Factor 35*a**4 - 5*a**3 - 560*a**2 + 80*a.
5*a*(a - 4)*(a + 4)*(7*a - 1)
Let -5*w**3 + 205*w**2 + 1120*w + 1380 = 0. What is w?
-3, -2, 46
Factor -k**2/8 + 25*k/8 + 13/4.
-(k - 26)*(k + 1)/8
Factor 5*f**3 + 3555*f**2 + 842535*f + 66560265.
5*(f + 237)**3
Find b, given that -6*b**4 + 3237*b**3 - 435780*b**2 - 218700*b = 0.
-1/2, 0, 270
Determine a so that -a**5 + 4*a**4 + 4*a**3 - 22*a**2 - 3*a + 18 = 0.
-2, -1, 1, 3
Find g such that -4*g**4/5 + 84*g**3/5 - 224*g**2/5 + 144*g/5 = 0.
0, 1, 2, 18
Let -2*p**5/3 - 20*p**4/3 + 4*p**3/3 + 40*p**2/3 - 2*p/3 - 20/3 = 0. Calculate p.
-10, -1, 1
Solve 3*r**3/4 + 15*r**2/4 - 3*r/2 - 18 = 0 for r.
-4, -3, 2
Factor 5*h**5/3 + 275*h**4/3 + 1305*h**3 + 1215*h**2.
5*h**2*(h + 1)*(h + 27)**2/3
What is r in 3*r**4/7 + 6*r**3 + 156*r**2/7 + 198*r/7 + 81/7 = 0?
-9, -3, -1
Let -2*j**2 + 234*j + 720 = 0. Calculate j.
-3, 120
Factor 3*w**2/4 - 519*w/2.
3*w*(w - 346)/4
Factor 2*o**3 - 2*o**2 - 24*o.
2*o*(o - 4)*(o + 3)
What is g in -g**5/5 - 753*g**4/5 - 143624*g**3/5 - 705368*g**2/5 - 224400*g - 559504/5 = 0?
-374, -2, -1
Suppose -5*c**4 + 455*c**3 - 7015*c**2 + 12685*c - 6120 = 0. What is c?
1, 17, 72
Factor 2*r**3/9 - 4*r**2/3 + 2*r/3 + 20/9.
2*(r - 5)*(r - 2)*(r + 1)/9
Factor -5*a**2 - 1030*a - 53045.
-5*(a + 103)**2
Factor -3*j**3 + 1209*j**2 + 7335*j + 11043.
-3*(j - 409)*(j + 3)**2
Factor -d**4 - 17*d**3 - 68*d**2 - 100*d - 48.
-(d + 1)*(d + 2)**2*(d + 12)
Let -2*d**4/5 - 2*d**3 - 12*d**2/5 + 8*d/5 + 16/5 = 0. What is d?
-2, 1
Factor 2*t**5/5 - 102*t**4/5 + 1734*t**3/5 - 9826*t**2/5.
2*t**2*(t - 17)**3/5
Suppose h**5 + 12*h**4 + 39*h**3 + 28*h**2 = 0. Calculate h.
-7, -4, -1, 0
Factor -4*i**5 + 36*i**4 + 84*i**3 + 44*i**2.
-4*i**2*(i - 11)*(i + 1)**2
Suppose 25*r**4 - 110*r**3 + 140*r**2 - 40*r = 0. What is r?
0, 2/5, 2
Let -3*s**5/4 + 35*s**4/4 - 51*s**3/4 + 9*s**2/4 + 5*s/2 = 0. What is s?
-1/3, 0, 1, 10
Solve -2*b**5/11 + 12*b**4/11 - 28*b**3/11 + 32*b**2/11 - 18*b/11 + 4/11 = 0.
1, 2
Factor 2*u**2 + 128*u + 2048.
2*(u + 32)**2
Suppose 4*o**4 - 8*o**3 - 156*o**2 + 160*o + 1600 = 0. Calculate o.
-4, 5
Let 5*w**3 + 45*w**2 + 70*w = 0. Calculate w.
-7, -2, 0
Solve i**4 - 2*i**3 - 12*i**2 + 8*i + 32 = 0 for i.
-2, 2, 4
Find m, given that 35*m**3 + 9015*m**2 - 22070*m + 7800 = 0.
-260, 3/7, 2
Determine d, given that -2*d**5/17 + 18*d**4/17 - 50*d**3/17 + 30*d**2/17 + 52*d/17 - 48/17 = 0.
-1, 1, 2, 3, 4
Suppose -3*y**5 + 15*y**4 - 18*y**3 - 6*y**2 + 21*y - 9 = 0. What is y?
-1, 1, 3
Solve -2*v**5 - 8*v**4 + 12*v**3 + 72*v**2 + 54*v = 0.
-3, -1, 0, 3
Factor 4*v**3 + 1360*v**2.
4*v**2*(v + 340)
Let q**3/5 + q**2 + 7*q/5 + 3/5 = 0. What is q?
-3, -1
Solve -3*v**5 - 9*v**4 + 33*v**3 + 9*v**2 - 30*v = 0 for v.
-5, -1, 0, 1, 2
Suppose -5*m**2 - 5*m + 30 = 0. Calculate m.
-3, 2
Determine v so that v**5/5 + 41*v**4/5 + 372*v**3/5 + 1328*v**2/5 + 416*v + 240 = 0.
-30, -5, -2
Factor -4*b**3/7 + 164*b**2/7 - 300*b/7 - 468/7.
-4*(b - 39)*(b - 3)*(b + 1)/7
Factor -2*g**3/5 - 692*g**2/5 - 1378*g/5 - 688/5.
-2*(g + 1)**2*(g + 344)/5
Determine x, given that 4*x**5 - 28*x**4 - 36*x**3 + 28*x**2 + 32*x = 0.
-1, 0, 1, 8
Factor 5*a**3 - 11800*a**2 + 6950185*a + 13947610.
5*(a - 1181)**2*(a + 2)
Let -3*z**2 + 18756*z - 29315628 = 0. What is z?
3126
Factor -5*y**3 - 10*y**2 + 20*y + 40.
-5*(y - 2)*(y + 2)**2
Factor -p**4 - 8*p**3 + 19*p**2 - 10*p.
-p*(p - 1)**2*(p + 10)
Find x such that 3*x**3 + 345*x**2 - 1443*x - 1785 = 0.
-119, -1, 5
Suppose -j**4 - 21*j**3 - 135*j**2 - 351*j - 324 = 0. Calculate j.
-12, -3
Let -4*k**5/7 + 16*k**4/7 - 16*k**3/7 - 8*k**2/7 + 20*k/7 - 8/7 = 0. What is k?
-1, 1, 2
Factor -3*n**3/2 + 67*n**2/4 - 71*n/4 + 5/2.
-(n - 10)*(n - 1)*(6*n - 1)/4
Factor h**2 - 217*h - 1568.
(h - 224)*(h + 7)
Determine x so that -2*x**4 - 22*x**3 + 1586*x**2 - 12506*x = 0.
-37, 0, 13
Solve 2*v**3/7 + 136*v**2/7 + 130*v/7 - 268/7 = 0 for v.
-67, -2, 1
Factor -5*p**2 + 140*p + 465.
-5*(p - 31)*(p + 3)
Factor a**3/8 + 45*a**2/2 + 8277*a/8 + 7921/4.
(a + 2)*(a + 89)**2/8
Factor 45*s**3 - 1520*s**2 - 340*s.
5*s*(s - 34)*(9*s + 2)
Determine d, given that 2*d**3/7 - 18*d**2/7 - 24*d/7 + 40/7 = 0.
-2, 1, 10
Find u, given that 6*u**3 - 1322*u**2 - 886*u + 442 = 0.
-1, 1/3, 221
Factor -2*k**4/5 + 2*k**3 - 18*k**2/5 + 14*k/5 - 4/5.
-2*(k - 2)*(k - 1)**3/5
Let 2*m**5 - 216*m**4/7 + 272*m**3/7 + 132*m**2/7 - 286*m/7 + 12 = 0. What is m?
-1, 3/7, 1, 14
Factor -q**4/5 - 37*q**3/5 + 117*q**2/5 - 119*q/5 + 8.
-(q - 1)**3*(q + 40)/5
Factor h**2/2 - 27*h/2 + 46.
(h - 23)*(h - 4)/2
Factor n**2/7 - 8*n + 112.
(n - 28)**2/7
Factor -r**5 - 7*r**4 - 16*r**3 - 12*r**2.
-r**2*(r + 2)**2*(r + 3)
Factor 20*g**4 + 65*g**3 - 45*g.
5*g*(g + 1)*(g + 3)*(4*g - 3)
Factor -2*p**2 - 768*p - 