928 = 0.
198
Factor -g**3/4 + 79*g**2/4 + 329*g/4 + 249/4.
-(g - 83)*(g + 1)*(g + 3)/4
Factor 2*c**5 + 12*c**4 + 24*c**3 + 16*c**2.
2*c**2*(c + 2)**3
Factor 15*t**3 - 324*t**2 - 1257*t - 450.
3*(t - 25)*(t + 3)*(5*t + 2)
Let -k**5/3 - 44*k**4/3 - 187*k**3 - 1634*k**2/3 - 160*k/3 + 800 = 0. Calculate k.
-20, -3, -2, 1
Factor 2*z**2/11 + 4512*z/11 + 2544768/11.
2*(z + 1128)**2/11
Factor 15*k**3 - 980*k**2 + 15675*k + 10890.
5*(k - 33)**2*(3*k + 2)
Factor -f**2 + 23*f - 126.
-(f - 14)*(f - 9)
Factor 450*a**2 - 2820*a + 4418.
2*(15*a - 47)**2
Find c such that 25*c**4 - 2280*c**3 + 455*c**2 = 0.
0, 1/5, 91
Factor d**4/2 + 35*d**3/2 - 193*d**2/2 + 277*d/2 - 60.
(d - 3)*(d - 1)**2*(d + 40)/2
Suppose -3*d**4 + 42*d**3 - 171*d**2 + 108*d + 324 = 0. What is d?
-1, 3, 6
Factor -3*r**3/5 + 5004*r**2/5 - 9999*r/5 + 4998/5.
-3*(r - 1666)*(r - 1)**2/5
Factor l**3 + 5*l**2 - 25*l - 125.
(l - 5)*(l + 5)**2
Suppose 14*m**2/3 - 2*m/3 - 4 = 0. Calculate m.
-6/7, 1
Factor 31329*t**3/2 - 30621*t**2/2 - 352*t - 2.
(t - 1)*(177*t + 2)**2/2
Determine j, given that j**2/4 + 293*j/4 - 295/2 = 0.
-295, 2
Find i, given that -9*i**4 - 453*i**3 - 5775*i**2 - 1875*i = 0.
-25, -1/3, 0
Suppose 4*v**2 + 168*v - 352 = 0. Calculate v.
-44, 2
Suppose -4*j**5 - 8*j**4 + 88*j**3 - 64*j**2 - 84*j + 72 = 0. Calculate j.
-6, -1, 1, 3
Find v such that -5*v**2 - 40*v - 80 = 0.
-4
Factor g**2/2 + 8731*g + 76230361/2.
(g + 8731)**2/2
Solve -9*z**4 - 7131*z**3 - 16590*z**2 + 12*z + 9480 = 0 for z.
-790, -2, -1, 2/3
Suppose 15*u**3/2 - 7*u**2 - 7*u/2 + 3 = 0. Calculate u.
-2/3, 3/5, 1
What is p in 2*p**2/7 + 4*p + 80/7 = 0?
-10, -4
Factor 4*v**4 + 40*v**3 - 204*v**2 + 272*v - 112.
4*(v - 2)*(v - 1)**2*(v + 14)
Factor -5*o**3 + 14130*o**2 - 13310460*o + 4179484440.
-5*(o - 942)**3
Find z such that -4*z**4 + 48*z**3 - 116*z**2 + 72*z = 0.
0, 1, 2, 9
Factor -h**4 + 3112*h**3 - 3229218*h**2 + 1118383760*h - 1115157653.
-(h - 1037)**3*(h - 1)
Solve z**5/9 - 14*z**4/9 - 16*z**3/9 + 14*z**2/9 + 5*z/3 = 0 for z.
-1, 0, 1, 15
Factor 3*r**2/7 + 201*r/7 - 204/7.
3*(r - 1)*(r + 68)/7
Find a, given that -2*a**2/7 - 384*a/7 + 386/7 = 0.
-193, 1
Find h, given that h**5/8 - 35*h**4/8 + 33*h**3/8 + 35*h**2/8 - 17*h/4 = 0.
-1, 0, 1, 34
Let -21*s**5/5 + 27*s**4/5 + 183*s**3/5 + 177*s**2/5 + 18*s/5 - 24/5 = 0. Calculate s.
-1, 2/7, 4
Suppose 3*g**2/5 - 96*g/5 - 99/5 = 0. What is g?
-1, 33
Find j such that -j**2 - 8*j + 20 = 0.
-10, 2
Solve -6*u**2/11 - 450*u/11 = 0 for u.
-75, 0
Solve -32*u**5/11 - 112*u**4/11 - 98*u**3/11 + 8*u**2/11 + 2*u - 4/11 = 0 for u.
-2, -1, 1/4
Suppose 50*o**4/9 - 1810*o**3/9 + 676*o**2/3 + 2504*o/9 + 560/9 = 0. What is o?
-2/5, 2, 35
Suppose r**3/8 + 213*r**2/8 + 11235*r/8 - 11449/8 = 0. Calculate r.
-107, 1
Factor y**5 + 21*y**4 + 154*y**3 + 474*y**2 + 565*y + 225.
(y + 1)**2*(y + 5)**2*(y + 9)
Factor -338*f**2 + 52416*f - 2032128.
-2*(13*f - 1008)**2
Determine t so that 3*t**3/5 + 546*t**2/5 + 4743*t - 103788/5 = 0.
-93, 4
Factor -w**5/4 - 139*w**4/4 - 3099*w**3/2 - 19224*w**2 + 127872*w - 165888.
-(w - 3)*(w - 2)*(w + 48)**3/4
Factor 5*s**3 + 175*s**2 - 385*s - 555.
5*(s - 3)*(s + 1)*(s + 37)
Suppose 19*y**5 + 226*y**4/3 + 334*y**3/3 + 72*y**2 + 49*y/3 - 2/3 = 0. What is y?
-1, 2/57
Let 4*f**4 + 40*f**3 + 36*f**2 - 208*f + 128 = 0. Calculate f.
-8, -4, 1
Determine k so that -2*k**5/7 - 2*k**4/7 + 8*k**3/7 + 8*k**2/7 = 0.
-2, -1, 0, 2
Determine n so that -3*n**3 + 30*n**2 + 111*n + 78 = 0.
-2, -1, 13
Determine v so that -20*v**3 + 4*v**2 + 192*v = 0.
-3, 0, 16/5
Suppose -10*j**4 + 29*j**3/2 - 15*j**2/4 - j + 1/4 = 0. Calculate j.
-1/4, 1/5, 1/2, 1
Factor 4*k**2 + 768*k + 36864.
4*(k + 96)**2
Factor 3*z**3/7 + 78*z**2/7 + 297*z/7 - 54.
3*(z - 1)*(z + 6)*(z + 21)/7
Factor -s**4/7 - 10*s**3/7 + 16*s**2/7 + 58*s/7 + 33/7.
-(s - 3)*(s + 1)**2*(s + 11)/7
Factor 36*d**3 + 492*d**2 + 1708*d + 1764.
4*(d + 9)*(3*d + 7)**2
Factor w**2 - 75*w.
w*(w - 75)
Solve 2*z**3/9 + 500*z**2/9 - 502*z/9 = 0 for z.
-251, 0, 1
Factor o**3/3 - 73*o**2/3 - 313*o/3 + 385/3.
(o - 77)*(o - 1)*(o + 5)/3
Factor -3*d**3 - 63*d**2 + 66*d.
-3*d*(d - 1)*(d + 22)
Solve 2*j**5/5 - 14*j**4/5 + 36*j**3/5 - 8*j**2 + 16*j/5 = 0.
0, 1, 2
Suppose -s**3 + 7*s**2 - 10*s = 0. Calculate s.
0, 2, 5
What is g in -2*g**4 - 1592*g**3 - 316808*g**2 = 0?
-398, 0
Solve -5*c**4 - 800*c**3 + 2450*c**2 + 800*c - 2445 = 0.
-163, -1, 1, 3
Suppose 3*k**5/4 + 21*k**4/2 - 81*k**3 + 345*k**2/2 - 591*k/4 + 45 = 0. What is k?
-20, 1, 3
Find q, given that q**2 - 74*q + 144 = 0.
2, 72
Factor -25*z**3 + 1020*z**2 - 804*z + 160.
-(z - 40)*(5*z - 2)**2
Find c such that c**5/4 + 7*c**4/4 + 9*c**3/4 - 19*c**2/4 - 11*c/2 + 6 = 0.
-4, -3, -2, 1
Factor n**4 + 27*n**3 + 177*n**2 + 277*n + 126.
(n + 1)**2*(n + 7)*(n + 18)
Determine b so that 4*b**3 - 20*b**2 + 24*b = 0.
0, 2, 3
Factor 4*v**3 + 1336*v**2 + 1332*v.
4*v*(v + 1)*(v + 333)
Suppose 8*c**5/3 + 26*c**4/9 - 208*c**3/9 + 86*c**2/3 - 116*c/9 + 16/9 = 0. What is c?
-4, 1/4, 2/3, 1
Suppose 2*l**5 + 38*l**4 + 156*l**3 + 232*l**2 + 112*l = 0. Calculate l.
-14, -2, -1, 0
Factor -m**5 + 3*m**3 - 2*m**2.
-m**2*(m - 1)**2*(m + 2)
Factor 2*n**5/7 - 44*n**4/7 + 312*n**3/7 - 720*n**2/7.
2*n**2*(n - 10)*(n - 6)**2/7
What is m in -3*m**5/5 - 411*m**4/5 + 1251*m**3/5 - 1257*m**2/5 + 84*m = 0?
-140, 0, 1
Determine i so that 4*i**2 - 256 = 0.
-8, 8
Let -5*p**5 + 15*p**4 + 195*p**3 + 145*p**2 - 750*p - 720 = 0. What is p?
-3, -1, 2, 8
Factor -3*k**2 - 9312*k - 7226112.
-3*(k + 1552)**2
Factor -z**3/3 + 616*z**2/3 - 1229*z/3 + 614/3.
-(z - 614)*(z - 1)**2/3
Suppose 2*r**5 + 288*r**4 + 1126*r**3 + 832*r**2 - 1128*r - 1120 = 0. Calculate r.
-140, -2, -1, 1
Factor -3*n**4 + 12*n**3 + 288*n**2.
-3*n**2*(n - 12)*(n + 8)
Solve -2*n**3 + 14*n**2 - 32*n + 24 = 0.
2, 3
Factor -26*v**3/5 + 28*v**2/5 - 2*v/5.
-2*v*(v - 1)*(13*v - 1)/5
Factor 4*l**2 - 864*l + 1712.
4*(l - 214)*(l - 2)
Suppose -3*a**3/5 - 6588*a**2/5 = 0. Calculate a.
-2196, 0
Solve -v**4 - 715*v**3 + 717*v**2 + 715*v - 716 = 0.
-716, -1, 1
Factor 2*x**3 - 112*x**2 + 98*x + 660.
2*(x - 55)*(x - 3)*(x + 2)
Factor s**2 - 698*s - 699.
(s - 699)*(s + 1)
Factor -2*k**2/5 + 34*k/5 + 36/5.
-2*(k - 18)*(k + 1)/5
Solve 5*r**3 + 195*r**2 + 2535*r + 10985 = 0.
-13
Suppose 6*k**3 - 46*k**2 - 16*k = 0. What is k?
-1/3, 0, 8
Factor -y**2 - 44*y + 92.
-(y - 2)*(y + 46)
Suppose 162*r**4 - 738*r**3 + 620*r**2 + 392*r + 48 = 0. Calculate r.
-2/9, 2, 3
Suppose -g**4/3 + 1328*g**3/3 - 146522*g**2 - 883120*g/3 - 442225/3 = 0. What is g?
-1, 665
Factor -3*d**3 + 90*d**2 - 321*d + 234.
-3*(d - 26)*(d - 3)*(d - 1)
Suppose -f**2 + 124*f + 125 = 0. Calculate f.
-1, 125
Let -4*l**4 + 32*l**3 - 24*l**2 - 32*l + 28 = 0. Calculate l.
-1, 1, 7
Let -5*l**2 + 16050*l - 12880125 = 0. Calculate l.
1605
Suppose -2*u**5 + 138*u**4 - 132*u**3 - 272*u**2 = 0. Calculate u.
-1, 0, 2, 68
Solve -2*i**4/3 - 4*i**3 + 170*i**2/3 + 300*i = 0 for i.
-10, -5, 0, 9
Solve -2*f**4 - 151*f**3 + 231*f**2 - f - 77 = 0.
-77, -1/2, 1
Factor -3*t**4 + 300*t**3 + 1575*t**2.
-3*t**2*(t - 105)*(t + 5)
Factor -10820*n**3 - 10540*n**2 - 2425*n + 70.
-5*(2*n + 1)**2*(541*n - 14)
Find u, given that -u**3/9 + 608*u**2 - 831744*u = 0.
0, 2736
Factor 2*s**4 - 138*s**3 - 426*s**2 - 430*s - 144.
2*(s - 72)*(s + 1)**3
Factor r**2/5 + 7*r/5.
r*(r + 7)/5
Factor -5*d**2 - 7400*d - 2738000.
-5*(d + 740)**2
Suppose 76*z**3 - 212*z**2 + 196*z - 60 = 0. Calculate z.
15/19, 1
Solve 2*j**4/13 - 2*j**3/13 - 66*j**2/13 - 126*j/13 = 0 for j.
-3, 0, 7
Factor -2*b**2 - 766*b - 1524.
-2*(b + 2)*(b + 381)
Find x such that -x**3/3 + 21*x**2 - 41*x + 61/3 = 0.
1, 61
Solve 2*v**2/15 - 8*v/15 - 2/3 = 0.
-1, 5
Solve -2*z**4/3 + 2*z**3 - 2*z**2 + 2*z/3 = 0 for z.
0, 1
Determine j so that 8*j**5/19 + 62*j**4/19 - 88*j**3/19 - 846*j**2/19 + 1080*j/19 - 216/19 = 0.
-6, 1/4, 1, 3
Factor -d**3/5 - 2*d**2.
-d**2*(d + 10)/5
Factor 44*c**3/7 - 270*c**2/7 - 272*c/7 + 6.
2*(c - 7)*(c + 1)*(22*c - 3)/7
Let 40*y**4 + 404*y**3 - 1528*y**2 - 236*y + 312 = 0. Calculate y.
-13, -1/2, 2/5, 3
Solve 2*x**3/7 - 80*x**2/7 = 0.
0, 40
Factor 6*y**2/7 - 1584*y/7.
6*y*(y - 264)/7
Determine f so that 24*f**5 - 126*f**4 + 15*f**3 + 72*f**2 + 15*f = 0.
-1/2, -1/4, 0, 1, 5
Factor h**4 + 5*h**3 + 8*h**2 + 4*h.
h*(h + 1)*(h + 2)**2
Suppose n**3/2 - 19*n**2/2 - n/2 + 19/2 = 0. Calcula