30*t**3 + 126075*t**2.
3*t**2*(t - 205)**2
Suppose 2*z**2/5 + 304*z/5 + 11552/5 = 0. What is z?
-76
Factor -3*r**2 - 81*r - 150.
-3*(r + 2)*(r + 25)
Factor 6*b**3/5 - 10*b**2 + 12*b/5 + 32/5.
2*(b - 8)*(b - 1)*(3*b + 2)/5
Find h such that -3*h**4 - 72*h**3 - 549*h**2 - 1104*h + 1728 = 0.
-9, -8, 1
Solve 3*l**3 + 6*l**2 - 9*l = 0 for l.
-3, 0, 1
Suppose 2*c**5/9 + 8*c**4/3 - 134*c**3/9 - 788*c**2/9 + 448*c - 3136/9 = 0. Calculate c.
-14, -7, 1, 4
Find r, given that -5*r**5 - 75*r**4 - 370*r**3 - 820*r**2 - 840*r - 320 = 0.
-8, -2, -1
Solve -198772754123205*p**5/4 - 158321588310*p**4 - 189153630*p**3 - 100440*p**2 - 20*p = 0.
-2/2511, 0
Determine k, given that -3*k**4 + 78*k**3 - 612*k**2 + 1122*k + 1815 = 0.
-1, 5, 11
Find d, given that -3*d**5 + 252*d**4 - 5775*d**3 + 20406*d**2 - 24480*d + 9600 = 0.
1, 2, 40
Factor -2*a**5 + 244*a**4 - 7680*a**3 + 14400*a**2.
-2*a**2*(a - 60)**2*(a - 2)
Let -2*s**2/5 - 8*s/5 - 8/5 = 0. Calculate s.
-2
Factor a**4/5 + 7*a**3 + 288*a**2/5 - 324*a/5.
a*(a - 1)*(a + 18)**2/5
Suppose 2*f**3/5 - 16*f**2/5 + 2*f + 28/5 = 0. What is f?
-1, 2, 7
Find h, given that -h**2/4 + 49/4 = 0.
-7, 7
Find j such that -2*j**2 + 56*j = 0.
0, 28
Factor 3*r**4 + 54*r**3.
3*r**3*(r + 18)
Let -2*v**5/9 + 4*v**4 + 4*v**3/9 - 8*v**2 - 2*v/9 + 4 = 0. Calculate v.
-1, 1, 18
Factor w**2/2 - 62*w + 1922.
(w - 62)**2/2
Find l, given that l**3/4 + 337*l**2/2 + 671*l/4 - 673/2 = 0.
-673, -2, 1
Suppose -c**5 - 41*c**4 - 67*c**3 + 441*c**2 + 432*c - 1404 = 0. Calculate c.
-39, -3, 2
Find q, given that 54*q**5 + 240*q**4 + 304*q**3 + 64*q**2 - 32*q = 0.
-2, -2/3, 0, 2/9
Factor u**3/8 + 201*u**2/8 + 9999*u/8 - 10201/8.
(u - 1)*(u + 101)**2/8
Factor -2*g**2/9 + 8*g/3 - 22/9.
-2*(g - 11)*(g - 1)/9
What is k in -2*k**5/3 + 70*k**4/3 + 2*k**3/3 - 70*k**2/3 = 0?
-1, 0, 1, 35
Solve 100*k**3 - 260*k**2 + 129*k - 18 = 0.
3/10, 2
Let 3*n**4 + 39*n**3 + 54*n**2 - 480*n + 384 = 0. Calculate n.
-8, 1, 2
Factor -3*c**3 + 21*c**2 - 18*c.
-3*c*(c - 6)*(c - 1)
Factor -18*f**2/19 + 68*f/19.
-2*f*(9*f - 34)/19
Factor 2*w**4 + 40*w**3 - 186*w**2 + 144*w.
2*w*(w - 3)*(w - 1)*(w + 24)
Let 3*x**5/2 + 12*x**4 + 27*x**3 + 6*x**2 - 57*x/2 - 18 = 0. Calculate x.
-4, -3, -1, 1
What is k in -10*k**3 - 355*k**2 - 835*k - 330 = 0?
-33, -2, -1/2
Factor -5*h**3 + 145*h**2 - 270*h.
-5*h*(h - 27)*(h - 2)
Let -2*v**5/5 + 158*v**4 + 798*v**3/5 - 2366*v**2/5 - 3956*v/5 - 1584/5 = 0. Calculate v.
-1, 2, 396
Factor -5*s**3/3 - 40*s**2 - 75*s - 110/3.
-5*(s + 1)**2*(s + 22)/3
Factor -111*u**2/2 - 277*u + 5/2.
-(u + 5)*(111*u - 1)/2
Suppose 2*a**5/9 + 4*a**4/3 + 8*a**3/9 - 4*a**2/3 - 10*a/9 = 0. Calculate a.
-5, -1, 0, 1
Factor 2*j**4 - 446*j**3 - 898*j**2 - 450*j.
2*j*(j - 225)*(j + 1)**2
Let 2*f**4/13 + 12*f**3/13 + 8*f**2/13 - 12*f/13 - 10/13 = 0. Calculate f.
-5, -1, 1
Factor -2*u**3/3 - 4*u**2 + 158*u/3 - 104.
-2*(u - 4)*(u - 3)*(u + 13)/3
Factor 16*k**2/7 + 22*k/7 + 6/7.
2*(k + 1)*(8*k + 3)/7
Factor -5*h**3 - 1210*h**2 - 20565*h - 90720.
-5*(h + 9)**2*(h + 224)
Factor 2024072*s**2 + 4024*s + 2.
2*(1006*s + 1)**2
Factor 5*l**3 - 1500*l**2 + 150000*l - 5000000.
5*(l - 100)**3
What is m in 3*m**4 + 24*m**3 + 69*m**2 + 84*m + 36 = 0?
-3, -2, -1
Let 4*d**4 - 92*d**3/3 + 196*d**2/3 + 4*d - 96 = 0. What is d?
-1, 8/3, 3
Let -3*x**4/5 - 63*x**3/5 - 72*x**2 - 624*x/5 = 0. Calculate x.
-13, -4, 0
Factor -2*n**4/17 + 320*n**3/17 + 322*n**2/17.
-2*n**2*(n - 161)*(n + 1)/17
Find r, given that -r**3/7 - 47*r**2/7 - 46*r/7 = 0.
-46, -1, 0
Let -v**5/5 - 483*v**4/5 - 11903*v**3 - 287517*v**2/5 - 228484*v/5 = 0. What is v?
-239, -4, -1, 0
Factor -3*g**2/2 + 846*g - 1689/2.
-3*(g - 563)*(g - 1)/2
Factor -x**3 - 20*x**2 - 19*x.
-x*(x + 1)*(x + 19)
Factor 3*w**5/2 - 27*w**4/2 + 45*w**3/2 - 21*w**2/2.
3*w**2*(w - 7)*(w - 1)**2/2
Suppose 3*k**5 + 3*k**4 - 27*k**3 + 33*k**2 - 12*k = 0. Calculate k.
-4, 0, 1
Find z such that -z**3/7 + 169*z**2/7 + 870*z/7 = 0.
-5, 0, 174
Factor -2*z**2/3 - 15784*z/3 - 31141832/3.
-2*(z + 3946)**2/3
Factor 2*z**2/9 - 20*z/9.
2*z*(z - 10)/9
Factor 6*y**5 - 69*y**4 - 348*y**3 - 372*y**2.
3*y**2*(y + 2)**2*(2*y - 31)
Factor -6*c**3/5 + 22*c**2/5 + 8*c/5.
-2*c*(c - 4)*(3*c + 1)/5
Factor 100*r**4 + 920*r**3 + 116*r**2 - 560*r + 144.
4*(r + 1)*(r + 9)*(5*r - 2)**2
Determine w so that -5*w**2 - 230*w + 480 = 0.
-48, 2
Factor -b**4 + 7*b**3 + 22*b**2 - 28*b - 72.
-(b - 9)*(b - 2)*(b + 2)**2
Find b, given that -4*b**2 + 4*b + 840 = 0.
-14, 15
Suppose -2*x**2 - 2204*x - 607202 = 0. Calculate x.
-551
Factor 3*l**4 - 63*l**3 + 186*l**2 + 2016*l - 4320.
3*(l - 12)**2*(l - 2)*(l + 5)
Determine s so that -s**3/4 - 9*s**2 - 249*s/4 + 325/2 = 0.
-25, -13, 2
Determine h, given that 2*h**3/3 - 50*h**2/3 = 0.
0, 25
Factor x**2/5 - 586*x/5 + 85849/5.
(x - 293)**2/5
Solve 6*a**5 + 27*a**4/2 - 21*a**3 - 18*a**2 + 15*a + 9/2 = 0 for a.
-3, -1, -1/4, 1
Let 39*y**5/5 + 9*y**4 - 228*y**3/5 - 36*y**2/5 = 0. Calculate y.
-3, -2/13, 0, 2
Let -2*b**3 + 82*b**2 - 158*b + 78 = 0. What is b?
1, 39
What is a in -3*a**4/5 + 21*a**3/5 - 21*a**2/5 - 9*a = 0?
-1, 0, 3, 5
Let 3*h**3/7 - 60*h**2/7 + 201*h/7 - 144/7 = 0. What is h?
1, 3, 16
Factor -2*x**4/7 + 416*x**3/7 + 1688*x**2/7 + 1696*x/7.
-2*x*(x - 212)*(x + 2)**2/7
What is o in 9*o**4 + 147*o**3/2 - 285*o**2 - 99*o/2 = 0?
-11, -1/6, 0, 3
Determine v, given that -2*v**4/5 - 58*v**3/5 - 448*v**2/5 - 392*v/5 = 0.
-14, -1, 0
Factor -3*s**3 + 102*s**2 - 753*s - 858.
-3*(s - 22)*(s - 13)*(s + 1)
Factor -4*k**2 - 3164*k - 6312.
-4*(k + 2)*(k + 789)
Find d such that 28*d**3 - 12*d**2 - 72*d - 32 = 0.
-1, -4/7, 2
Suppose -2*l**5/15 - 38*l**4/15 - 154*l**3/15 + 278*l**2/15 + 132*l/5 = 0. What is l?
-11, -9, -1, 0, 2
Solve -3*q**5 + 228*q**4 - 216*q**3 - 678*q**2 + 219*q + 450 = 0.
-1, 1, 2, 75
Factor n**5/6 + 175*n**4/6 + 7915*n**3/6 + 22705*n**2/6 + 11180*n/3 + 3698/3.
(n + 1)**3*(n + 86)**2/6
Solve 98*x**5 + 224*x**4 - 166*x**3 - 868*x**2 - 832*x - 256 = 0.
-8/7, -1, 2
Factor 3*v**2 - 42*v + 135.
3*(v - 9)*(v - 5)
Find j, given that -j**4 + 11*j**3/2 + 18*j**2 + 31*j/2 + 4 = 0.
-1, -1/2, 8
Let 3*a**2/4 + 975*a/4 + 1449/2 = 0. What is a?
-322, -3
Factor -v**5 + 7*v**4 + 2*v**3 - 14*v**2 - v + 7.
-(v - 7)*(v - 1)**2*(v + 1)**2
Factor -5*c**3 - 35*c**2 + 20*c + 140.
-5*(c - 2)*(c + 2)*(c + 7)
What is s in -3*s**3/7 + 9*s**2/7 - 6*s/7 = 0?
0, 1, 2
Determine o, given that o**4 - 14*o**3 + 44*o**2 - 40*o = 0.
0, 2, 10
Factor -2*a**2 - 15*a/4 - 7/4.
-(a + 1)*(8*a + 7)/4
Suppose t**3 - t = 0. Calculate t.
-1, 0, 1
Factor m**2 - 860*m.
m*(m - 860)
Determine n, given that 2*n**5/17 - 6*n**4/17 + 8*n**2/17 = 0.
-1, 0, 2
Factor -5*i**2 + 7255*i.
-5*i*(i - 1451)
What is v in 4*v**4 - 84*v**3 + 156*v**2 - 76*v = 0?
0, 1, 19
Solve 3*p**5 - 72*p**4 + 354*p**3 + 936*p**2 + 507*p = 0 for p.
-1, 0, 13
Factor 2*u**3/3 - 64*u**2/3 - 134*u/3 - 68/3.
2*(u - 34)*(u + 1)**2/3
Let -s**5/2 + s**4/2 + 3*s**3 - 2*s**2 - 4*s = 0. What is s?
-2, -1, 0, 2
Factor -4*x**2/7 + 71*x/7 - 51/7.
-(x - 17)*(4*x - 3)/7
Factor 5*v**4 - 15*v**3 - 30*v**2 + 140*v - 120.
5*(v - 2)**3*(v + 3)
Solve -2*f**4/15 + 14*f**3/15 - 4*f**2/3 = 0 for f.
0, 2, 5
Factor -2*y**2/7 - 2608*y/7 - 850208/7.
-2*(y + 652)**2/7
Factor 3*h**3 + 36*h**2 + 69*h - 108.
3*(h - 1)*(h + 4)*(h + 9)
Let -i**3/5 - 37*i**2/5 - 136*i/5 - 132/5 = 0. What is i?
-33, -2
Factor -2*w**4 + 84*w**3 + 2*w**2 - 84*w.
-2*w*(w - 42)*(w - 1)*(w + 1)
Suppose -5*t**5 + 25*t**4 + 45*t**3 - 245*t**2 + 40*t + 300 = 0. What is t?
-3, -1, 2, 5
Factor z**2 + 526*z + 69169.
(z + 263)**2
Determine o so that 29*o**5/3 - 320*o**4/3 + 342*o**3 - 760*o**2/3 + 25*o/3 = 0.
0, 1/29, 1, 5
Solve 4*h**4 + 10*h**3 - 150*h**2 + 200*h - 64 = 0.
-8, 1/2, 1, 4
Find t, given that -5*t**4 + 820*t**3 + 15*t**2 - 2450*t - 1640 = 0.
-1, 2, 164
Suppose 45*z**5 - 1320*z**4 - 940*z**3 + 1170*z**2 + 895*z + 150 = 0. Calculate z.
-1, -1/3, 1, 30
Find s such that 3*s**3 - 27*s**2 + 6*s + 144 = 0.
-2, 3, 8
Factor -d**2/4 + 7*d.
-d*(d - 28)/4
Find c such that -2*c**2 - 112*c - 416 = 0.
-52, -4
Factor n**2 - 3*n - 4.
(n - 4)*(n + 1)
Solve 50*s**4/13 - 350*s**3/13 - 948*s**2/13 + 432*s/13 = 0 for s.
-12/5, 0, 2/5, 9
Factor 5*u**3 + 145*u**2 + 140*u.
5*u*(u + 1)*(u + 28)
Let 4*l**3 - 1640*l**2 + 169728*l - 332928 = 0. What is l?
2, 204
Determine j, given that 2*j**2 - 64*j = 0.
0, 32
Solv