507.
3*(g + 13)**2
Solve 2*s**3 - 12*s**2 + 10*s = 0.
0, 1, 5
Find d, given that 20*d**3 - 145*d**2 + 155*d - 30 = 0.
1/4, 1, 6
What is v in -4*v**3 - 440*v**2 - 12100*v = 0?
-55, 0
Let 15*w**5 + 51*w**4 - 27*w**3 - 123*w**2 + 48*w + 36 = 0. Calculate w.
-3, -2, -2/5, 1
Factor -4*b**3 - 104*b**2 + 732*b - 1152.
-4*(b - 3)**2*(b + 32)
Let u**3 + 25*u**2 + 47*u + 23 = 0. Calculate u.
-23, -1
Let 3*a**2 + 147*a + 144 = 0. Calculate a.
-48, -1
Factor -2*y**5 - 198*y**4 - 772*y**3 - 1148*y**2 - 762*y - 190.
-2*(y + 1)**4*(y + 95)
Factor -i**5/4 + 3*i**4/4 - i**2.
-i**2*(i - 2)**2*(i + 1)/4
What is y in -500*y**5 + 40800*y**4 - 782160*y**3 - 2036416*y**2 - 1671936*y - 451584 = 0?
-4/5, 42
Let -d**2 - 32*d - 60 = 0. What is d?
-30, -2
Solve 2*p**3/3 + 52*p**2 + 1064*p + 5776/3 = 0 for p.
-38, -2
Let 3*o**5 - 1287*o**4 + 5118*o**3 - 7662*o**2 + 5103*o - 1275 = 0. What is o?
1, 425
What is a in -3*a**5/8 - 39*a**4/8 - 33*a**3/2 + 6*a**2 + 72*a + 54 = 0?
-6, -2, -1, 2
Factor -3*g**2 + 144*g + 3072.
-3*(g - 64)*(g + 16)
Find m, given that m**2 + 159*m + 468 = 0.
-156, -3
Factor w**5/2 - 9*w**4 - 20*w**3 - w**2 + 39*w/2 + 10.
(w - 20)*(w - 1)*(w + 1)**3/2
Suppose 3*h**4/7 - 36*h**3/7 + 144*h**2/7 - 192*h/7 = 0. What is h?
0, 4
Determine n, given that 36*n**3 - 600*n**2 - 848*n - 288 = 0.
-2/3, 18
Suppose 2*l**3/3 - 79*l**2/6 + 140*l/3 + 25/2 = 0. What is l?
-1/4, 5, 15
Solve 78*p**4 - 5680*p**3 + 15354*p**2 + 3232*p - 840 = 0 for p.
-1/3, 2/13, 3, 70
Factor 3*f**3/4 + 6*f**2 - 57*f/4 + 15/2.
3*(f - 1)**2*(f + 10)/4
Factor -9*a**3/2 + 51*a**2/2 - 27*a/2 - 15/2.
-3*(a - 5)*(a - 1)*(3*a + 1)/2
Factor 4225*z**2/9 + 520*z/3 + 16.
(65*z + 12)**2/9
Factor -2*n**5/11 + 40*n**4/11 - 320*n**3/11 + 1280*n**2/11 - 2560*n/11 + 2048/11.
-2*(n - 4)**5/11
Factor -w**4/5 - 4*w**3/5 + 7*w**2/5 + 2*w.
-w*(w - 2)*(w + 1)*(w + 5)/5
Factor -z**2 + 7*z - 12.
-(z - 4)*(z - 3)
Determine n so that -n**4/4 + 5*n**3/2 + 13*n**2/4 - 11*n/2 = 0.
-2, 0, 1, 11
Suppose -4*t**5 - 36*t**4 - 96*t**3 - 64*t**2 = 0. What is t?
-4, -1, 0
Find u, given that -7*u**3/3 - 1472*u**2/3 - 3332*u/3 - 832/3 = 0.
-208, -2, -2/7
What is t in -9*t**3/7 + 65*t**2/7 + 58*t/7 - 16/7 = 0?
-1, 2/9, 8
Solve 110*c**3/7 - 636*c**2/7 - 152*c/7 + 48/7 = 0.
-2/5, 2/11, 6
Solve -32*a**5/11 + 16*a**4 - 258*a**3/11 + 28*a**2/11 + 74*a/11 + 12/11 = 0.
-1/4, 1, 2, 3
What is w in w**2 - 71*w + 840 = 0?
15, 56
Find u such that -5*u**3 + 45*u**2 + 125*u - 165 = 0.
-3, 1, 11
Let -t**5/3 + 8*t**4 + t**3 - 74*t**2/3 + 16*t = 0. Calculate t.
-2, 0, 1, 24
Find t, given that -28*t**5/5 - 482*t**4/5 + 406*t**3/5 + 176*t**2/5 - 72*t/5 = 0.
-18, -1/2, 0, 2/7, 1
Factor j**5 + j**4 - 11*j**3 - 29*j**2 - 26*j - 8.
(j - 4)*(j + 1)**3*(j + 2)
What is a in 2*a**4 + 32*a**3 - 34*a**2 = 0?
-17, 0, 1
Determine t so that 40*t**3 - 210*t**2 - 385*t - 135 = 0.
-1, -1/2, 27/4
Suppose 35*z**3 - 655*z**2 + 1000*z + 340 = 0. What is z?
-2/7, 2, 17
Find q, given that -6*q**4/7 + 72*q**3/7 - 18*q**2 - 84*q = 0.
-2, 0, 7
Find h, given that -4*h**4/5 + 52*h**3/5 - 44*h**2/5 - 52*h/5 + 48/5 = 0.
-1, 1, 12
What is x in -x**5 - 57*x**4/4 - 17*x**3/2 + 987*x**2/4 + 302*x + 60 = 0?
-12, -5, -1, -1/4, 4
Factor 2*f**2/9 + 50*f/9 + 16/3.
2*(f + 1)*(f + 24)/9
Factor 2*i**3/9 + 8*i**2/9 - 70*i/9 - 100/3.
2*(i - 6)*(i + 5)**2/9
Let -7*r**3 + 7551*r**2 - 12920*r - 4308 = 0. Calculate r.
-2/7, 2, 1077
Factor 2*g**3/3 + 292*g**2/3 - 98*g.
2*g*(g - 1)*(g + 147)/3
Factor 2*z**5/13 + 2*z**4/13 - 28*z**3/13 + 4*z**2 - 38*z/13 + 10/13.
2*(z - 1)**4*(z + 5)/13
Find q, given that q**3/5 - 7*q/5 + 6/5 = 0.
-3, 1, 2
Determine j, given that 2*j**2/7 - 2616*j/7 - 374 = 0.
-1, 1309
Factor -10*h**3/7 - 46*h**2/7 + 96*h/7 + 72/7.
-2*(h - 2)*(h + 6)*(5*h + 3)/7
Factor -y**3/7 - 57*y**2/7 - 783*y/7 + 841/7.
-(y - 1)*(y + 29)**2/7
Suppose 3*l**3 + 42*l**2 - 153*l = 0. Calculate l.
-17, 0, 3
Find o such that 5*o**3 + 40*o**2 - 2800*o = 0.
-28, 0, 20
Determine d so that -3*d**3/7 - 9*d**2/7 + 18*d/7 + 24/7 = 0.
-4, -1, 2
Suppose d**3/3 - 60*d**2 + 2700*d = 0. Calculate d.
0, 90
Determine h so that -h**2 + 20*h - 51 = 0.
3, 17
Factor -4*r**5/5 - 9*r**4/5 - 2*r**3/5.
-r**3*(r + 2)*(4*r + 1)/5
Solve -27436*a**4 + 2888*a**3 + 19152*a**2 - 9800*a + 1372 = 0.
-1, 7/19
Find w such that -6724*w**2 + 820*w - 25 = 0.
5/82
Find u such that 5*u**2 + 22840*u + 26083280 = 0.
-2284
Factor f**3/5 + 9*f**2/5 - 29*f - 153/5.
(f - 9)*(f + 1)*(f + 17)/5
Factor -2*t**4 - 28*t**3 + 24*t**2 + 304*t - 448.
-2*(t - 2)**2*(t + 4)*(t + 14)
Suppose -4*r**5 + 20*r**4 - 20*r**3 - 20*r**2 + 24*r = 0. Calculate r.
-1, 0, 1, 2, 3
Factor -2*z**2 + 1028*z - 132098.
-2*(z - 257)**2
Factor 12*r**2/5 + 147*r/5 + 36/5.
3*(r + 12)*(4*r + 1)/5
Suppose -5*k**2 - 8700*k - 3784500 = 0. Calculate k.
-870
Factor -2*w**3/9 + 20*w**2/9 + 26*w/3.
-2*w*(w - 13)*(w + 3)/9
Determine y, given that -3*y**2 - 69*y - 180 = 0.
-20, -3
Find u such that -u**4/4 + 31*u**3/2 - 59*u**2/4 - 61*u/2 = 0.
-1, 0, 2, 61
Let v**2/10 + 111*v/5 + 12321/10 = 0. Calculate v.
-111
Determine s so that s**2/7 - 192*s/7 + 9216/7 = 0.
96
Suppose -3*k**2 - 1104*k - 101568 = 0. What is k?
-184
Factor a**4/2 - a**3/2 - a**2.
a**2*(a - 2)*(a + 1)/2
Find p, given that -p**4/9 + p**3/3 + 4*p**2/9 = 0.
-1, 0, 4
Factor -5*j**4 - 385*j**3 - 5940*j**2 + 56700*j - 105840.
-5*(j - 4)*(j - 3)*(j + 42)**2
Determine q so that -q**2/5 - 172*q + 861/5 = 0.
-861, 1
Factor -y**5/6 + y**4 + 92*y**3/3 - 1099*y**2/3 + 2499*y/2 - 2744/3.
-(y - 7)**3*(y - 1)*(y + 16)/6
Solve -3*q**2 - 96*q + 99 = 0.
-33, 1
What is c in 5*c**3 - 609*c**2 + 18483*c + 3721 = 0?
-1/5, 61
Let -4*a**3/7 + 48*a**2/7 + 16*a = 0. What is a?
-2, 0, 14
Factor -z**2/3 + 81*z + 1240/3.
-(z - 248)*(z + 5)/3
Factor o**2/6 - 87*o/2 + 130/3.
(o - 260)*(o - 1)/6
Solve 2*p**3/9 - 44*p**2/9 + 64*p/3 + 64 = 0.
-2, 12
Solve -2*q**5/15 - 8*q**4/5 - 58*q**3/15 + 12*q**2 + 216*q/5 + 144/5 = 0.
-6, -2, -1, 3
Find f such that 2*f**5 - 18*f**4 + 50*f**3 - 54*f**2 + 20*f = 0.
0, 1, 2, 5
Factor -t**5 + 7*t**4 + 3*t**3 - 19*t**2 - 14*t.
-t*(t - 7)*(t - 2)*(t + 1)**2
Suppose 3*q**4/8 + 2*q**3 + 29*q**2/8 + 5*q/2 + 1/2 = 0. What is q?
-2, -1, -1/3
Find k, given that k**2/2 + 474*k + 112338 = 0.
-474
Factor -5*y**3 + 2885*y**2 - 417600*y + 414720.
-5*(y - 288)**2*(y - 1)
What is d in -5*d**5/4 - 15*d**4 - 115*d**3/2 - 75*d**2 - 125*d/4 = 0?
-5, -1, 0
Factor -4*x**2 - 476*x - 472.
-4*(x + 1)*(x + 118)
Determine c so that -72*c**4/7 + 192*c**3/7 - 74*c**2/7 - 6*c - 4/7 = 0.
-1/6, 1, 2
Factor -4*v**4/9 + 52*v**3/9 + 56*v**2/9.
-4*v**2*(v - 14)*(v + 1)/9
Find q, given that 2*q**5/3 + 14*q**4/3 - 16*q**3/3 - 112*q**2/3 + 32*q/3 + 224/3 = 0.
-7, -2, 2
Find f, given that f**2 + 29*f + 168 = 0.
-21, -8
Determine r so that -2*r**4/5 - 2*r**3 - 12*r**2/5 + 8*r/5 + 16/5 = 0.
-2, 1
Determine n, given that 3*n**4/7 - 108*n**3/7 + 858*n**2/7 + 2052*n/7 + 1083/7 = 0.
-1, 19
Factor 5*v**3 + 405*v**2 + 8775*v + 22815.
5*(v + 3)*(v + 39)**2
Determine d, given that -d**4 - 59*d**3/2 - 201*d**2 + 108*d = 0.
-18, -12, 0, 1/2
Factor -g**4 + 11*g**3 - 9*g**2 - 119*g - 98.
-(g - 7)**2*(g + 1)*(g + 2)
What is p in 5*p**5 + 10*p**4 - 10*p**3 - 20*p**2 + 5*p + 10 = 0?
-2, -1, 1
Let l**3/5 - 12*l**2/5 - 61*l/5 - 48/5 = 0. Calculate l.
-3, -1, 16
What is v in 5*v**3 - 15*v**2 + 10*v = 0?
0, 1, 2
Factor -2*h**3/5 - 8*h**2 - 136*h/5 - 128/5.
-2*(h + 2)**2*(h + 16)/5
Factor -4*m**5/7 + 12*m**4/7 - 12*m**3/7 + 4*m**2/7.
-4*m**2*(m - 1)**3/7
Suppose 8*a**5/15 + 58*a**4/5 + 118*a**3/15 - 58*a**2/5 - 42*a/5 = 0. Calculate a.
-21, -1, -3/4, 0, 1
Factor -t**3/5 + 44*t**2/5 + t/5 - 44/5.
-(t - 44)*(t - 1)*(t + 1)/5
Suppose -f**2/4 + 3*f/2 = 0. What is f?
0, 6
Suppose -5*a**3 - 55*a**2 + 200*a - 140 = 0. What is a?
-14, 1, 2
Let g**5/4 - 3*g**3 - g**2/2 + 27*g/4 + 9/2 = 0. Calculate g.
-3, -1, 2, 3
Solve f**4 - 2396*f**3 + 1435204*f**2 = 0 for f.
0, 1198
Factor -2*i**2 + 280*i - 9800.
-2*(i - 70)**2
Factor s**3 - 11*s**2 - 12*s.
s*(s - 12)*(s + 1)
Let -a**5/2 + 3*a**4 - 11*a**3/2 + 3*a**2 = 0. What is a?
0, 1, 2, 3
Factor d**2/6 - 151*d/2 + 451/3.
(d - 451)*(d - 2)/6
Factor -f**4/8 - 7*f**3 - 53*f**2/8 + 55*f/4.
-f*(f - 1)*(f + 2)*(f + 55)/8
Suppose 2*r**5/13 + 46*r**4/13 + 236*r**3/13 - 384*r**2/13 - 576*r/13 = 0. Calculate r.
-12, -1, 0, 2
Solve -5*o**4 - 110*o**3 = 