75*u**2 - 504*u + 432.
-3*(u - 12)**2*(u - 1)
Factor -4*u**2 + 204*u + 208.
-4*(u - 52)*(u + 1)
Solve 2*j**4/13 + 48*j**3/13 + 206*j**2/13 + 24*j + 152/13 = 0.
-19, -2, -1
Factor -5*s**2/3 + 50*s/3 + 40.
-5*(s - 12)*(s + 2)/3
Let -i**3 + i**2 + i - 1 = 0. Calculate i.
-1, 1
Factor -4*r**2 + 9*r - 2.
-(r - 2)*(4*r - 1)
Factor 4*f**3 + 576*f**2.
4*f**2*(f + 144)
Factor -18*w**2/5 - 112*w/5 - 24/5.
-2*(w + 6)*(9*w + 2)/5
Find v, given that -v**4/4 - 15*v**3/4 + 4*v**2 = 0.
-16, 0, 1
Factor t**3/11 - 5*t**2/11 + 3*t/11 + 9/11.
(t - 3)**2*(t + 1)/11
Determine s, given that 3*s**2/2 - 1485*s/2 - 1491 = 0.
-2, 497
Find a, given that -a**4 + 1384*a**3 - 480245*a**2 + 954962*a = 0.
0, 2, 691
Let -12*w**4 - 15*w**3 + 66*w**2 + 60*w - 72 = 0. What is w?
-2, 3/4, 2
Factor r**5/8 - 21*r**4/8 + 41*r**3/2 - 72*r**2 + 108*r - 54.
(r - 6)**3*(r - 2)*(r - 1)/8
Find w such that -3*w**3/4 + 45*w**2 - 2871*w/4 + 2523/2 = 0.
2, 29
Factor -1545*c**2 + 4626*c + 27.
-3*(c - 3)*(515*c + 3)
Solve -2*d**5 - 21*d**4/2 + 9*d**3 = 0 for d.
-6, 0, 3/4
Factor -5*g**2 + 495*g + 1010.
-5*(g - 101)*(g + 2)
Factor -3*s**3 + 75*s**2.
-3*s**2*(s - 25)
Factor -2*i**4/3 + 178*i**3/3 - 1290*i**2 - 1350*i.
-2*i*(i - 45)**2*(i + 1)/3
Suppose t**5/5 + 23*t**4/5 - 3*t**3/5 - 71*t**2/5 - 46*t/5 = 0. Calculate t.
-23, -1, 0, 2
Find x such that -3*x**5 - 15*x**4 - 18*x**3 = 0.
-3, -2, 0
Factor -4*h**2 - 250*h/3 - 418/3.
-2*(h + 19)*(6*h + 11)/3
Find n such that 2*n**5/3 + 370*n**4/3 + 2596*n**3 + 55072*n**2/3 + 102656*n/3 - 55296 = 0.
-162, -8, 1
Factor 3*o**4 - 6*o**3 - 24*o**2 + 54*o - 27.
3*(o - 3)*(o - 1)**2*(o + 3)
Factor -r**2/6 - 80*r/3 + 54.
-(r - 2)*(r + 162)/6
Factor y**3/5 - 6*y**2/5 + y.
y*(y - 5)*(y - 1)/5
Suppose n**5/2 - n**3 + n/2 = 0. Calculate n.
-1, 0, 1
Find r, given that 5*r**5/3 - 40*r**4/3 + 10*r**3/3 + 400*r**2/3 - 125*r = 0.
-3, 0, 1, 5
Determine p so that -p**3/5 + 63*p**2/5 - 1323*p/5 + 9261/5 = 0.
21
Determine x, given that -4*x**4 - 96*x**3 - 480*x**2 - 896*x - 576 = 0.
-18, -2
Find f, given that -3*f**4 + 72*f**3 + 78*f**2 - 72*f - 75 = 0.
-1, 1, 25
Suppose -2*l**5/7 - 16*l**4/7 - 40*l**3/7 - 32*l**2/7 = 0. Calculate l.
-4, -2, 0
Let -s**3/4 + 12*s**2 + s/4 - 12 = 0. Calculate s.
-1, 1, 48
Find z such that 5*z**5 - 40*z**4 + 90*z**3 - 135*z = 0.
-1, 0, 3
Solve -3*h**4 + 6*h**2 - 3 = 0.
-1, 1
Factor -2*h**4/3 + 2*h**3 - 4*h**2/3.
-2*h**2*(h - 2)*(h - 1)/3
Factor -8*j**3 + 11*j**2 + 13*j - 6.
-(j - 2)*(j + 1)*(8*j - 3)
Let 4*n**5 + 298*n**4 - 454*n**3 + 152*n**2 = 0. What is n?
-76, 0, 1/2, 1
Factor -3*h**5 + 15*h**4 + 27*h**3 - 243*h**2 + 324*h.
-3*h*(h - 3)**3*(h + 4)
Factor -o**2/6 - 9*o + 56/3.
-(o - 2)*(o + 56)/6
Factor -3*d**2/5 - 30*d - 375.
-3*(d + 25)**2/5
Factor m**2/5 - 17*m/5 + 16/5.
(m - 16)*(m - 1)/5
Solve 3*u**4 + 336*u**3 + 8334*u**2 - 60888*u + 52215 = 0.
-59, 1, 5
Factor k**4/3 + 5*k**3/3 - 28*k**2/3 - 32*k/3.
k*(k - 4)*(k + 1)*(k + 8)/3
Let 7*s**4/2 + 1217*s**3 + 105618*s**2 - 30276*s = 0. Calculate s.
-174, 0, 2/7
Let 2*f**4/5 - 6*f**3/5 - 204*f**2/5 - 176*f/5 + 384/5 = 0. Calculate f.
-8, -2, 1, 12
Suppose -1050625*u**4 - 2103300*u**3 - 4101*u**2 - 2*u = 0. Calculate u.
-2, -1/1025, 0
Suppose -100*q**4 + 2220*q**3 - 9376*q**2 - 8592*q - 1792 = 0. What is q?
-2/5, 7, 16
Find h, given that 4*h**2 + 4*h = 0.
-1, 0
Factor -o**2/8 + 7*o/4 - 3.
-(o - 12)*(o - 2)/8
Let 4*j**5/7 - 752*j**4/7 - 3860*j**3/7 = 0. What is j?
-5, 0, 193
Factor -3*o**4 - 57*o**3 + 414*o**2 - 876*o + 600.
-3*(o - 2)**3*(o + 25)
Factor 3*w**3 - 114*w**2 + 513*w - 594.
3*(w - 33)*(w - 3)*(w - 2)
Factor -4*w**2/5 - 52*w/5 + 24.
-4*(w - 2)*(w + 15)/5
What is f in -f**5/4 + 9*f**4/4 + 39*f**3/2 + 85*f**2/2 + 147*f/4 + 45/4 = 0?
-3, -1, 15
Factor 10*x**2/3 + 17*x/9 + 1/9.
(2*x + 1)*(15*x + 1)/9
Factor 5*x**5 + 110*x**4 + 605*x**3.
5*x**3*(x + 11)**2
Suppose -2*b**4/7 + 20*b**3/7 - 18*b**2/7 - 104*b/7 - 64/7 = 0. Calculate b.
-1, 4, 8
Factor 4*c**3/7 + 134*c**2/7 - 30*c.
2*c*(c + 35)*(2*c - 3)/7
Let 7*t**2/2 - 107*t/2 + 15 = 0. What is t?
2/7, 15
Let -n**5/5 - 8*n**4/5 - 3*n**3 + 4*n**2/5 + 4*n = 0. Calculate n.
-5, -2, 0, 1
Let b**2/4 - 5*b + 75/4 = 0. What is b?
5, 15
Factor 2*i**4 - 14*i**3 + 2*i**2 + 54*i + 36.
2*(i - 6)*(i - 3)*(i + 1)**2
Suppose 3*c**5/5 - 18*c**4/5 + 39*c**3/5 - 36*c**2/5 + 12*c/5 = 0. What is c?
0, 1, 2
Solve -2*p**3 - 482*p**2 = 0.
-241, 0
Solve -2*t**3 - 146*t**2 - 2590*t + 2738 = 0 for t.
-37, 1
Factor 3*t**5 - 18*t**4 - 12*t**3 + 102*t**2 + 153*t + 60.
3*(t - 5)*(t - 4)*(t + 1)**3
Solve 3*u**2/5 + 174*u/5 = 0 for u.
-58, 0
Let -o**3/8 + 3*o**2 - 45*o/8 + 11/4 = 0. Calculate o.
1, 22
Let -5*g**5 + 130*g**4 - 245*g**3 + 120*g**2 = 0. Calculate g.
0, 1, 24
Find r such that -4*r**5 - 40*r**4 - 108*r**3 - 72*r**2 = 0.
-6, -3, -1, 0
Find a such that -a**2/7 - 815*a/7 - 1626/7 = 0.
-813, -2
Let -5*h**4 - 15*h**3 + 5*h**2 + 15*h = 0. Calculate h.
-3, -1, 0, 1
Solve -7*d**5 - 68*d**4 + 104*d**3 + 46*d**2 - 97*d + 22 = 0 for d.
-11, -1, 2/7, 1
Factor -x**2/8 - 1106*x - 2446472.
-(x + 4424)**2/8
Solve 2*m**5 - 48*m**4 + 32*m**3 + 3072*m**2 + 8192*m = 0.
-4, 0, 16
Factor 2*o**3 - 154*o**2 - 156*o.
2*o*(o - 78)*(o + 1)
Factor 3*w**2 - 162*w + 1215.
3*(w - 45)*(w - 9)
Suppose y**3/2 - 91*y**2 + 3854*y + 26508 = 0. Calculate y.
-6, 94
Factor -2*v**3/19 - 34*v**2/19 - 140*v/19.
-2*v*(v + 7)*(v + 10)/19
Suppose -a**4 - 254*a**3 - 756*a**2 - 754*a - 251 = 0. What is a?
-251, -1
Suppose 9*h**4 + 54*h**3 + 48*h**2 - 640*h/3 - 1024/3 = 0. Calculate h.
-8/3, 2
Factor -2*d**2 + 56*d - 230.
-2*(d - 23)*(d - 5)
Suppose 2*u**3/5 - 8*u**2/5 + 6*u/5 = 0. What is u?
0, 1, 3
Factor 27000*g**4 + 105300*g**3 - 10710*g**2 + 359*g - 4.
(g + 4)*(30*g - 1)**3
Determine l so that -l**3/10 + 823*l**2/10 - 169743*l/10 + 168921/10 = 0.
1, 411
What is k in -60*k**3/7 + 14464*k**2/7 - 15376*k/7 + 3840/7 = 0?
2/5, 2/3, 240
Determine k, given that -20*k**2 + 490*k - 12005/4 = 0.
49/4
Factor -3*s**5 - 75*s**4 + 402*s**3 + 1626*s**2 + 1761*s + 609.
-3*(s - 7)*(s + 1)**3*(s + 29)
Determine g, given that -267*g**2 - 540*g - 12 = 0.
-2, -2/89
Let -10*k**5/9 - 46*k**4/9 + 100*k**3/9 + 88*k**2/9 - 16*k/3 = 0. What is k?
-6, -1, 0, 2/5, 2
Determine d so that -2*d**3/5 - 546*d**2/5 - 49686*d/5 - 1507142/5 = 0.
-91
Find x such that 3*x**4 + 42*x**3 + 219*x**2 + 504*x + 432 = 0.
-4, -3
Find r such that -15*r**3 - 99*r**2 - 48*r + 36 = 0.
-6, -1, 2/5
Find t, given that -5*t**5/4 - t**4/2 + 65*t**3/4 + 43*t**2/2 + 6*t = 0.
-3, -1, -2/5, 0, 4
Factor -2*l**2/3 + 21092*l/3 - 55609058/3.
-2*(l - 5273)**2/3
Suppose 4*l**2 + 80*l + 204 = 0. Calculate l.
-17, -3
Factor -4*g**5 - 28*g**4 - 32*g**3 + 64*g**2.
-4*g**2*(g - 1)*(g + 4)**2
Factor f**2 + 15*f.
f*(f + 15)
Factor -k**3/8 + 10*k**2 - 39*k/2.
-k*(k - 78)*(k - 2)/8
Find v, given that 5*v**3 - 15*v**2 - 50*v + 120 = 0.
-3, 2, 4
Factor -3*d**5 - 120*d**4 + 252*d**3 - 6*d**2 - 249*d + 126.
-3*(d - 1)**3*(d + 1)*(d + 42)
Factor -x**4/2 + 2*x**3 + 3*x**2/2 - 9*x.
-x*(x - 3)**2*(x + 2)/2
Factor -z**3/2 + 5*z**2/2 + z/2 - 5/2.
-(z - 5)*(z - 1)*(z + 1)/2
Factor j**3/2 - 39*j**2/2 + 72*j - 70.
(j - 35)*(j - 2)**2/2
Let -2*j**2 - 126*j + 128 = 0. What is j?
-64, 1
Solve 9*k**5 + 51*k**4 + 57*k**3 - 63*k**2 - 54*k = 0.
-3, -2/3, 0, 1
Find l, given that -l**2 + 19*l - 34 = 0.
2, 17
Factor 5*k**3 - 10*k**2 - 35*k - 20.
5*(k - 4)*(k + 1)**2
Determine g so that g**2/4 + 29*g/4 - 195/2 = 0.
-39, 10
Suppose 2*p**3 + 82*p**2 - 170*p + 86 = 0. What is p?
-43, 1
Factor 3*h**3/7 - 30*h**2.
3*h**2*(h - 70)/7
Factor -2*b**3/7 - 188*b**2/7 + 4360*b/7 - 22800/7.
-2*(b - 10)**2*(b + 114)/7
Factor 3*c**4 - 12*c**3 - 21*c**2 + 30*c.
3*c*(c - 5)*(c - 1)*(c + 2)
Factor a**4 - 44*a**3 + 564*a**2 - 1760*a + 1600.
(a - 20)**2*(a - 2)**2
Factor -2*o**5/5 + 6*o**4 - 144*o**3/5 + 216*o**2/5.
-2*o**2*(o - 6)**2*(o - 3)/5
Factor -4*r**5 - 408*r**4 - 10804*r**3 - 20400*r**2 - 10000*r.
-4*r*(r + 1)**2*(r + 50)**2
Factor 3*m**2 - 132*m + 1305.
3*(m - 29)*(m - 15)
Solve -4*r**3/7 - 44*r**2/7 + 104*r/7 = 0 for r.
-13, 0, 2
Find u, given that -2*u**2/11 + 1722*u/11 = 0.
0, 861
Solve d**3/5 + 7*d**2/5 + 16*d/5 + 12/5 = 0 for d.
-3, -2
Determine x so that x**3 - 65*x**2/3 - 91*x/3 - 23/3 = 0.
-1, -1/3, 23
Find h such that 162*h**2/5 - 8568*h/5 + 113288/5 = 0.
238/9
Factor 3*o**2/4 - 3807*o/2 + 4831083