 6*t**3 + 36*t**2.
-2*t**2*(t - 3)*(t + 6)
Factor 2*s**3/11 + 50*s**2/11 + 344*s/11 + 504/11.
2*(s + 2)*(s + 9)*(s + 14)/11
Determine p, given that -6*p**3 + 82*p**2 + 236*p - 192 = 0.
-3, 2/3, 16
Let -135*v**2 - 123*v + 12 = 0. Calculate v.
-1, 4/45
Factor n**3/4 + 16*n**2 - 147*n/4 - 495/2.
(n - 5)*(n + 3)*(n + 66)/4
Factor 2*m**3 - 10*m**2.
2*m**2*(m - 5)
Factor 23*n**3 + 71*n**2 + 52*n + 4.
(n + 1)*(n + 2)*(23*n + 2)
What is p in -4*p**5 - 140*p**4/3 - 92*p**3 + 36*p**2 = 0?
-9, -3, 0, 1/3
Suppose 2*o**3 - 2*o**2 - 24*o = 0. What is o?
-3, 0, 4
Determine p, given that p**2/4 + 190*p + 36100 = 0.
-380
Factor -y**4/5 + 14*y**3/5 - 72*y**2/5 + 162*y/5 - 27.
-(y - 5)*(y - 3)**3/5
Factor m**2/3 + 4*m - 64/3.
(m - 4)*(m + 16)/3
Solve -12*c**4 - 3387*c**3 + 9390*c**2 - 4281*c - 1710 = 0.
-285, -1/4, 1, 2
Solve -4*z**5 + z**4 + 23*z**3 + 27*z**2 + 9*z = 0.
-1, -3/4, 0, 3
Let -3*w**5/5 - 24*w**4/5 - 66*w**3/5 - 72*w**2/5 - 27*w/5 = 0. What is w?
-3, -1, 0
Factor -p**2/10 - 879*p/10 + 88.
-(p - 1)*(p + 880)/10
Factor 5*f**2 + 245*f - 250.
5*(f - 1)*(f + 50)
Factor -12482*d**2 + 29388*d - 17298.
-2*(79*d - 93)**2
Factor o**3 + 212*o**2 + 11236*o.
o*(o + 106)**2
Factor -5*a**4 - 630*a**3 - 19205*a**2 + 40320*a - 20480.
-5*(a - 1)**2*(a + 64)**2
Find k such that 2*k**2 - 3552*k + 3550 = 0.
1, 1775
Suppose 5*q**3 - 19*q**2 - 8*q + 16 = 0. What is q?
-1, 4/5, 4
Factor -2*z**3 - 250*z**2 - 248*z.
-2*z*(z + 1)*(z + 124)
Determine f so that -3*f**3 - 351*f**2 + 1818*f - 1464 = 0.
-122, 1, 4
Factor -2*u**3 + 96*u**2 - 262*u - 360.
-2*(u - 45)*(u - 4)*(u + 1)
Solve -4*s**3 + 36*s**2 + 84*s + 44 = 0 for s.
-1, 11
Factor 2*i**5/11 + 14*i**4/11 + 30*i**3/11 + 18*i**2/11.
2*i**2*(i + 1)*(i + 3)**2/11
Solve 36*y**5/7 + 132*y**4/7 - 68*y**3/7 - 12*y**2 - 16*y/7 = 0 for y.
-4, -1/3, 0, 1
Factor -b**3 + 19*b + 30.
-(b - 5)*(b + 2)*(b + 3)
Solve 3*q**3 + 225*q**2 + 3861*q - 13689 = 0 for q.
-39, 3
Factor -2*c**2 - 640*c - 51200.
-2*(c + 160)**2
Factor 3*n**4/4 + 9*n**3/4 - 27*n**2/2 - 30*n.
3*n*(n - 4)*(n + 2)*(n + 5)/4
Factor -2*v**4/19 - 32*v**3/19 + 34*v**2/19.
-2*v**2*(v - 1)*(v + 17)/19
Factor 3*w**3/7 + 183*w**2/7 + 2880*w/7 + 2700/7.
3*(w + 1)*(w + 30)**2/7
Factor b**2/2 - 44*b + 567/2.
(b - 81)*(b - 7)/2
Find h, given that -h**2/2 - 27*h + 320 = 0.
-64, 10
Factor d**2/9 - 148*d/9 - 149/9.
(d - 149)*(d + 1)/9
Factor -g**3 - 133*g**2 - 132*g.
-g*(g + 1)*(g + 132)
What is f in -5*f**3/3 + 365*f**2/3 + 5*f/3 - 365/3 = 0?
-1, 1, 73
Factor -2*o**2/7 - 86*o + 2440/7.
-2*(o - 4)*(o + 305)/7
Solve 2770*n**2 + 1128*n + 8 = 0 for n.
-2/5, -2/277
Let -k**4/3 - 17*k**3 + 160*k**2/3 - 36*k = 0. What is k?
-54, 0, 1, 2
Solve -3*x**3/2 + 6*x**2 - 6*x = 0 for x.
0, 2
Find l, given that l**5 + 32*l**4/5 - 3*l**3/5 - 106*l**2/5 - 20*l - 24/5 = 0.
-6, -1, -2/5, 2
Let -16*h**2/3 - 380*h/3 - 92 = 0. What is h?
-23, -3/4
Factor 5*c**4/3 + 10*c**3/3 - 5*c**2/3 - 10*c/3.
5*c*(c - 1)*(c + 1)*(c + 2)/3
Suppose 2*x**3/5 - 90*x**2 = 0. Calculate x.
0, 225
What is a in -590*a**3/13 + 3532*a**2/13 - 5262*a/13 - 72/13 = 0?
-4/295, 3
Determine j, given that -j**5/5 - 116*j**4/5 - 3476*j**3/5 - 6382*j**2/5 + 3477*j/5 + 6498/5 = 0.
-57, -2, -1, 1
Factor -5*g**3 - 115*g**2 - 215*g - 105.
-5*(g + 1)**2*(g + 21)
Determine y, given that 5*y**4 - 905*y**3 + 5295*y**2 - 7875*y = 0.
0, 3, 175
Find z, given that 21*z**4 - 582*z**3 - 2772*z**2 - 3432*z - 768 = 0.
-2, -2/7, 32
Factor 676*m**3 - 1508*m**2 - 5984*m + 13872.
4*(m + 3)*(13*m - 34)**2
Suppose o**5/7 + 185*o**4/7 + 11530*o**3/7 + 249490*o**2/7 + 465125*o/7 + 226981/7 = 0. Calculate o.
-61, -1
Suppose 15*g**5 - 78*g**4 + 147*g**3 - 120*g**2 + 36*g = 0. Calculate g.
0, 1, 6/5, 2
What is w in 5*w**2 - 85*w = 0?
0, 17
Determine d so that -21*d**3 + 33*d**2 - 3*d - 9 = 0.
-3/7, 1
Factor r**5 + 7*r**4 + 17*r**3 + 17*r**2 + 6*r.
r*(r + 1)**2*(r + 2)*(r + 3)
Let -2*p**2/3 + 70*p/3 - 68/3 = 0. Calculate p.
1, 34
Let -b**3 + 39*b**2 + 40*b = 0. What is b?
-1, 0, 40
Factor w**5/2 - 13*w**4 + 265*w**3/2 - 662*w**2 + 1624*w - 1568.
(w - 7)**2*(w - 4)**3/2
Factor -j**5 + 10*j**4 - 16*j**3.
-j**3*(j - 8)*(j - 2)
Determine a so that 4*a**4/5 + 28*a**3/5 + 24*a**2/5 = 0.
-6, -1, 0
Solve -3*q**4 + 30*q**3 + 33*q**2 = 0.
-1, 0, 11
Factor 3*w**2 + 36*w + 60.
3*(w + 2)*(w + 10)
Find d, given that 3*d**2 - 12*d - 15 = 0.
-1, 5
Factor -4*y**5/7 + 72*y**4/7 - 388*y**3/7 + 576*y**2/7 - 256*y/7.
-4*y*(y - 8)**2*(y - 1)**2/7
Find p, given that p**5/8 - 3*p**4/4 - 15*p**3/4 + 2*p**2 + 93*p/8 + 27/4 = 0.
-3, -1, 2, 9
Factor -3*i**2 - 264*i - 261.
-3*(i + 1)*(i + 87)
Factor 2*s**3/9 + 116*s**2/3 + 346*s/9.
2*s*(s + 1)*(s + 173)/9
Factor -3*r**5 - 177*r**4 - 2325*r**3 + 8649*r**2.
-3*r**2*(r - 3)*(r + 31)**2
Factor -3*d**5 - 7*d**4 - 5*d**3 - d**2.
-d**2*(d + 1)**2*(3*d + 1)
Factor -v**4 - 59*v**3/2 - 210*v**2 + 225*v/2.
-v*(v + 15)**2*(2*v - 1)/2
Factor 2*w**3 - 179*w**2 + 769*w - 340.
(w - 85)*(w - 4)*(2*w - 1)
Factor -3*v**2 - 4458*v - 1656147.
-3*(v + 743)**2
Determine c so that 3*c**5/4 + 15*c**4 + 27*c**3 - 3*c**2/2 - 111*c/4 - 27/2 = 0.
-18, -1, 1
Factor n**2/6 + 2293*n/3 + 5257849/6.
(n + 2293)**2/6
Factor z**4/3 + z**3/3 - 5*z**2/3 + z.
z*(z - 1)**2*(z + 3)/3
Let -4*s**5 + 88*s**4 - 468*s**3 - 352*s**2 + 1936*s = 0. Calculate s.
-2, 0, 2, 11
Determine w, given that 2*w**3/7 - 832*w**2/7 + 12120*w + 50400 = 0.
-4, 210
Factor -20*j**4 + 4220*j**3 + 4235*j**2 + 1060*j.
-5*j*(j - 212)*(2*j + 1)**2
Suppose 35*a**5 + 95*a**4 - 240*a**3 - 220*a**2 + 80*a = 0. Calculate a.
-4, -1, 0, 2/7, 2
Factor -x**3/4 - 3*x**2 + 63*x/4 + 135/2.
-(x - 6)*(x + 3)*(x + 15)/4
Find d, given that 4*d**2 - 1128*d + 79524 = 0.
141
Factor 2*x**3/23 - 554*x**2/23 - 1676*x/23 - 1120/23.
2*(x - 280)*(x + 1)*(x + 2)/23
Suppose 40*p**3 + 106*p**2 + 56*p + 8 = 0. Calculate p.
-2, -2/5, -1/4
Find f such that 2*f**3/3 - 86*f**2/3 + 412*f/3 + 1184/3 = 0.
-2, 8, 37
Factor 2*c**5 - 4*c**4 + 4*c**2 - 2*c.
2*c*(c - 1)**3*(c + 1)
Factor 25*z**3 - 105*z**2 + 95*z - 15.
5*(z - 3)*(z - 1)*(5*z - 1)
Suppose -2*b**2/21 - 194*b/21 - 188/7 = 0. What is b?
-94, -3
Factor -2*u**3 + 3692*u**2 - 11062*u + 7372.
-2*(u - 1843)*(u - 2)*(u - 1)
Factor -3*w**4/2 + 111*w**3 + 342*w**2 + 345*w + 231/2.
-3*(w - 77)*(w + 1)**3/2
Factor -2*t**2 + 154*t - 444.
-2*(t - 74)*(t - 3)
Let -6*h**3 - 165*h**2 - 354*h + 525 = 0. Calculate h.
-25, -7/2, 1
Suppose -449*w**2 + 446*w + 3 = 0. Calculate w.
-3/449, 1
Solve 4*d**2 + 2200*d + 302500 = 0.
-275
Suppose r**2/4 - 831*r/2 + 690561/4 = 0. Calculate r.
831
Factor -5*s**5 + 40*s**4 - 125*s**3 + 190*s**2 - 140*s + 40.
-5*(s - 2)**3*(s - 1)**2
Factor 714*t**2/5 + 570*t - 24/5.
6*(t + 4)*(119*t - 1)/5
Determine q, given that -q**5 - 94*q**4 - 2389*q**3 - 8460*q**2 - 8100*q = 0.
-45, -2, 0
Suppose -796005*i**4 - 6376020*i**3 - 12799940*i**2 - 127840*i - 320 = 0. Calculate i.
-4, -2/399
Determine w, given that -16*w**4 - 180*w**3 + 868*w**2 - 492*w - 180 = 0.
-15, -1/4, 1, 3
Solve -25*c**5/3 - 715*c**4 - 45779*c**3/3 + 10625*c**2/3 + 9976*c + 7396/3 = 0 for c.
-43, -2/5, 1
Find t such that -4*t**4/3 + 4*t**2 - 8*t/3 = 0.
-2, 0, 1
Suppose m**5 - m**4 - 3*m**3 + m**2 + 2*m = 0. What is m?
-1, 0, 1, 2
Factor 4*d**4 + 72*d**3 + 352*d**2 + 504*d + 220.
4*(d + 1)**2*(d + 5)*(d + 11)
Determine x so that -12*x**4 + 448*x**3 - 1000*x**2 + 704*x - 140 = 0.
1/3, 1, 35
Factor -4*q**4 - 7292*q**3 - 3319680*q**2 + 3326976*q.
-4*q*(q - 1)*(q + 912)**2
Factor -4*c**4 + 4*c**3.
-4*c**3*(c - 1)
Factor -4*q**3 + 88*q**2 - 76*q - 168.
-4*(q - 21)*(q - 2)*(q + 1)
Factor o**5/4 + 3*o**4/4 - 9*o**3/2 + o**2 + 6*o.
o*(o - 2)**2*(o + 1)*(o + 6)/4
Factor n**3/2 - 5*n**2 + 9*n/2.
n*(n - 9)*(n - 1)/2
Factor 5*y**2 - 1870*y + 1865.
5*(y - 373)*(y - 1)
Factor -3*q**2 - 459*q - 2220.
-3*(q + 5)*(q + 148)
Factor l**3 - 49*l**2 - 833*l - 3087.
(l - 63)*(l + 7)**2
Solve -5*m**2/2 - 25*m/2 - 10 = 0.
-4, -1
Solve -2*h**2/5 + 82*h/5 = 0 for h.
0, 41
Find f, given that -5*f**5 - 180*f**4 + 575*f**3 - 390*f**2 = 0.
-39, 0, 1, 2
Solve 4*x**3 + 76*x**2 + 256*x + 240 = 0.
-15, -2
Solve o**3/3 + 10*o**2/3 + 13*o/3 - 8 = 0.
-8, -3, 1
Factor 62*y**2/11 + 1238*y/11 - 40/11.
2*(y + 20)*(31*y - 1)/11
Let 5*y**2 + 40*y - 45 = 0. Calculate y.
-9, 1
Determine b, given that b**2/2 - 587*b + 1172 = 0.
2, 1172
Solve -3*j**3 - 9*j**2 + 108*