ve r**3/2 - 19*r**2/2 + 44*r = 0 for r.
0, 8, 11
Solve -3*i**3 - 12*i**2 + 15*i = 0 for i.
-5, 0, 1
Let -4*v**2 + 400*v - 10000 = 0. What is v?
50
Suppose 2*m**3/17 - 32*m**2/17 - 38*m/17 + 4 = 0. Calculate m.
-2, 1, 17
Factor 5*d**3 - 30*d**2 - 5*d + 30.
5*(d - 6)*(d - 1)*(d + 1)
Factor l**2/4 + 65*l/4.
l*(l + 65)/4
Factor 26*r**4/7 - 48*r**3/7 - 8*r**2/7.
2*r**2*(r - 2)*(13*r + 2)/7
Find a, given that -3*a**2/4 - 75*a/4 + 333 = 0.
-37, 12
Find v such that -v**4/4 - 13*v**3/2 + 55*v**2/4 - 7*v = 0.
-28, 0, 1
Factor d**4 - 14*d**3.
d**3*(d - 14)
Factor 5*b**5 + 145*b**4 + 1535*b**3 + 7335*b**2 + 16200*b + 13500.
5*(b + 3)**3*(b + 10)**2
What is y in 5*y**2 - 2170*y + 235445 = 0?
217
Factor -10609*o**3/3 + 20806*o**2/3 + 820*o/3 + 8/3.
-(o - 2)*(103*o + 2)**2/3
Factor -3*f**2 - 24*f - 36.
-3*(f + 2)*(f + 6)
Factor -l**3 + 11*l**2 + 40*l + 28.
-(l - 14)*(l + 1)*(l + 2)
Find a, given that -a**3 + 49*a**2/4 - 3*a = 0.
0, 1/4, 12
Let -3*o**3 - 495*o**2 + 3*o + 495 = 0. What is o?
-165, -1, 1
Factor -2*g**4/7 + 2*g**3 - 8*g**2/7 - 24*g/7.
-2*g*(g - 6)*(g - 2)*(g + 1)/7
Factor 5*w**2/3 - 40*w + 225.
5*(w - 15)*(w - 9)/3
Factor z**3/3 + 3*z**2.
z**2*(z + 9)/3
Factor 2*t**4/3 - 976*t**3/3 + 39364*t**2 + 239120*t/3 + 120050/3.
2*(t - 245)**2*(t + 1)**2/3
Suppose -5*z**2 + 1000*z - 50000 = 0. What is z?
100
Factor 7*d**2 + 675*d + 288.
(d + 96)*(7*d + 3)
Let 9*o**3 - 83*o**2 - 72*o + 20 = 0. Calculate o.
-1, 2/9, 10
What is n in 5*n**2 + 90*n - 440 = 0?
-22, 4
Factor -3*t**4 + 18*t**3 + 21*t**2 - 180*t.
-3*t*(t - 5)*(t - 4)*(t + 3)
Find x such that -3*x**3/4 + x**2 + x/4 - 1/2 = 0.
-2/3, 1
Factor c**2 + 103*c + 102.
(c + 1)*(c + 102)
Determine j, given that -5*j**3 + 14135*j**2 + 28285*j + 14145 = 0.
-1, 2829
Factor b**3 + 13*b**2 + 30*b.
b*(b + 3)*(b + 10)
Determine d, given that -4*d**4 + 4*d**2 = 0.
-1, 0, 1
Solve 4*k**4/7 - 100*k**3/7 + 572*k**2/7 + 100*k/7 - 576/7 = 0.
-1, 1, 9, 16
Let -4*u**4 - 148*u**3 + 840*u**2 = 0. Calculate u.
-42, 0, 5
Factor -v**2/4 + 17*v/4 - 21/2.
-(v - 14)*(v - 3)/4
Suppose -s**2/3 - 157*s/3 + 106 = 0. What is s?
-159, 2
Suppose 2*i**2 + 84*i + 882 = 0. Calculate i.
-21
Suppose -4802*s**2 + 98*s - 1/2 = 0. Calculate s.
1/98
Factor 2*u**5 + 18*u**4 - 6*u**3 - 58*u**2 - 36*u.
2*u*(u - 2)*(u + 1)**2*(u + 9)
Factor 5*z**3 + 70*z**2 - 100*z - 3000.
5*(z - 6)*(z + 10)**2
Find b, given that 4*b**3 + 168*b**2 + 164*b = 0.
-41, -1, 0
Factor -3*t**2/5 + 1146*t/5 - 109443/5.
-3*(t - 191)**2/5
Factor -l**4/3 + 3*l**3 + 35*l**2 - 233*l/3 + 40.
-(l - 15)*(l - 1)**2*(l + 8)/3
Factor 3*l**2/2 + 45*l/2 + 84.
3*(l + 7)*(l + 8)/2
Suppose -2*o**5 - 5990*o**4 - 4476014*o**3 + 13482006*o**2 = 0. Calculate o.
-1499, 0, 3
Solve 2*a**4 + 68*a**3 + 64*a**2 - 2240*a - 6144 = 0 for a.
-32, -4, 6
What is r in -r**2 - 100*r - 99 = 0?
-99, -1
Solve -k**2/2 + 4*k - 8 = 0.
4
Solve -2*t**2 + 172*t - 3698 = 0.
43
Suppose 2*l**3/5 - 98*l**2/5 - 20*l = 0. What is l?
-1, 0, 50
What is t in 2*t**2 - 840*t = 0?
0, 420
Factor -2*o**4 + 8*o**3 + 150*o**2 + 468*o + 432.
-2*(o - 12)*(o + 2)*(o + 3)**2
Suppose -21*g**4 + 6*g**3 + 21*g**2 - 6*g = 0. What is g?
-1, 0, 2/7, 1
Factor o**4/2 - 51*o**3/2 - 3*o**2/2 + 155*o/2 - 51.
(o - 51)*(o - 1)**2*(o + 2)/2
Solve 4*h**4 + 190*h**3 + 2192*h**2 - 1144*h = 0.
-26, -22, 0, 1/2
Let 3*f**3 - 66*f**2 + 117*f + 1026 = 0. Calculate f.
-3, 6, 19
Factor l**3/6 - 5*l**2/3 + 9*l/2 - 3.
(l - 6)*(l - 3)*(l - 1)/6
Let -8*i**5/7 + 74*i**4 + 22*i**3 - 1538*i**2/7 - 1426*i/7 - 260/7 = 0. Calculate i.
-1, -1/4, 2, 65
Factor 3*p**4 + 390*p**3 + 13431*p**2 + 49140*p + 47628.
3*(p + 2)**2*(p + 63)**2
Find n, given that -n**4/5 - 6784*n**3/5 - 11512446*n**2/5 - 23004544*n/5 - 11498881/5 = 0.
-3391, -1
Determine z so that 2*z**3/13 - 74*z**2/13 - 18*z/13 + 666/13 = 0.
-3, 3, 37
Factor -3*g**3 + 30*g**2 + 213*g + 180.
-3*(g - 15)*(g + 1)*(g + 4)
Solve -2*w**3/3 + 32*w**2/3 - 6*w - 60 = 0 for w.
-2, 3, 15
Factor -k**2/3 + 7*k - 68/3.
-(k - 17)*(k - 4)/3
Find d such that 2*d**2/23 - 256*d/23 + 8192/23 = 0.
64
Suppose -2*f**4/23 - 32*f**3/23 - 58*f**2/23 - 28*f/23 = 0. Calculate f.
-14, -1, 0
Determine f so that -3*f**4 + 237*f**3 - 7020*f**2 + 92400*f - 456000 = 0.
19, 20
Factor -s**2 - 114*s - 3249.
-(s + 57)**2
Solve -v**3/5 + 384*v**2/5 - 36864*v/5 = 0.
0, 192
Factor 5*p**2 - 605*p + 3450.
5*(p - 115)*(p - 6)
Solve 99*o**2/4 + 39*o - 21 = 0.
-2, 14/33
Let -20*m**4/3 - 128*m**3/3 - 76*m**2 - 152*m/3 - 32/3 = 0. Calculate m.
-4, -1, -2/5
Factor 2*c**5/11 - 82*c**4/11 - 970*c**3/11 - 2550*c**2/11.
2*c**2*(c - 51)*(c + 5)**2/11
Let -5*d**5 + 80*d**4 - 435*d**3 + 1060*d**2 - 1180*d + 480 = 0. What is d?
1, 2, 3, 8
Factor -5*z**3 - 825*z**2 + 1665*z - 835.
-5*(z - 1)**2*(z + 167)
Factor -2*f**2/15 - 2396*f/15 - 717602/15.
-2*(f + 599)**2/15
Determine g so that -2*g**5/7 - 94*g**4/7 - 162*g**3 - 298*g**2/7 + 9568*g/7 + 12696/7 = 0.
-23, -2, 3
Solve -v**5/3 - 32*v**4/3 + 23*v**3 + 32*v**2/3 - 68*v/3 = 0.
-34, -1, 0, 1, 2
Let -2*j**5/9 - 2*j**4/3 + 2*j**3/9 + 2*j**2/3 = 0. Calculate j.
-3, -1, 0, 1
Find k such that -k**5 - 22*k**4 - 120*k**3 + 22*k**2 + 121*k = 0.
-11, -1, 0, 1
What is j in 4*j**3 - 88*j**2 + 556*j - 792 = 0?
2, 9, 11
Factor -3*u**2 - 75*u.
-3*u*(u + 25)
Suppose -460*n**2 + 2296*n + 20 = 0. Calculate n.
-1/115, 5
Factor 3*y**5 - 6*y**3 + 3*y.
3*y*(y - 1)**2*(y + 1)**2
Solve 2*z**4 + 126*z**3 - 132*z**2 - 256*z = 0 for z.
-64, -1, 0, 2
Suppose 2*g**2 - 24*g + 22 = 0. What is g?
1, 11
Factor 3*n**3 + 15*n**2 - 96*n + 108.
3*(n - 2)**2*(n + 9)
Solve -5*h**3 - 35*h**2 + 425*h + 455 = 0.
-13, -1, 7
What is s in -5*s**3 + 185*s**2/4 - 325*s/4 + 35/2 = 0?
1/4, 2, 7
Factor -2*l**3/5 - 18*l**2 + 2*l/5 + 18.
-2*(l - 1)*(l + 1)*(l + 45)/5
Suppose w**2/3 + 2*w/3 - 1 = 0. Calculate w.
-3, 1
Let -5*a**2 - 4130*a - 852845 = 0. Calculate a.
-413
Suppose -4*w**2 + 40*w - 36 = 0. Calculate w.
1, 9
Factor 3*g**5/4 + 81*g**4/4 + 585*g**3/4 + 507*g**2/4.
3*g**2*(g + 1)*(g + 13)**2/4
Factor -5*l**2/6 + 25*l/3 - 35/2.
-5*(l - 7)*(l - 3)/6
Factor -2*r**3/3 - 16*r**2 + 18*r + 100/3.
-2*(r - 2)*(r + 1)*(r + 25)/3
Factor b**4/7 + 12*b**3/7 + 10*b**2/7 - 12*b/7 - 11/7.
(b - 1)*(b + 1)**2*(b + 11)/7
Factor 3*r**2 + 1722*r + 1719.
3*(r + 1)*(r + 573)
Factor h**3/7 + 3*h**2/7 - 4*h/7.
h*(h - 1)*(h + 4)/7
Factor p**4/6 + 12*p**3 + 1583*p**2/6 + 1722*p - 1998.
(p - 1)*(p + 18)**2*(p + 37)/6
Suppose 2*z**2/5 - 204*z - 1022/5 = 0. What is z?
-1, 511
Let -2*w**3/7 + 34*w**2/7 + 2236*w/7 = 0. What is w?
-26, 0, 43
Suppose 2*x**5/11 - 46*x**4/11 + 30*x**3 - 602*x**2/11 - 980*x/11 = 0. What is x?
-1, 0, 7, 10
Let 4*q**4/7 - 36*q**3/7 + 8*q**2/7 + 192*q/7 = 0. What is q?
-2, 0, 3, 8
Let 28*j**5 + 76*j**4 - 24*j**3 - 112*j**2 + 32*j = 0. Calculate j.
-2, 0, 2/7, 1
Factor -4*u**4 + 24*u**3 + 204*u**2 + 176*u.
-4*u*(u - 11)*(u + 1)*(u + 4)
Suppose 6*k**4/13 + 100*k**3/13 - 392*k**2/13 + 176*k/13 + 320/13 = 0. Calculate k.
-20, -2/3, 2
Factor o**3/8 + 9*o**2/8 - 85*o/8 + 75/8.
(o - 5)*(o - 1)*(o + 15)/8
Let 2*a**2/7 + 32*a/7 + 8 = 0. Calculate a.
-14, -2
Factor 7*n**2 + 65*n + 18.
(n + 9)*(7*n + 2)
Let 3*f**3/4 - 9*f**2/2 + 15*f/4 = 0. What is f?
0, 1, 5
Factor 5*v**5 - 120*v**4 + 315*v**3.
5*v**3*(v - 21)*(v - 3)
Factor 2*t**5 - 4*t**4 - 2*t**3 + 4*t**2.
2*t**2*(t - 2)*(t - 1)*(t + 1)
Factor 4*n**5 - 16*n**4 - 60*n**3 + 72*n**2.
4*n**2*(n - 6)*(n - 1)*(n + 3)
Solve -8*f**3 - 116*f**2 + 332*f - 136 = 0 for f.
-17, 1/2, 2
Find k such that 20*k**4 - 65*k**3 + 70*k**2 - 25*k = 0.
0, 1, 5/4
Let -5*u**4 - 5*u**3 + 115*u**2 - 195*u + 90 = 0. What is u?
-6, 1, 3
Determine r so that -2*r**3/13 + 4*r**2/13 + 6*r/13 = 0.
-1, 0, 3
Suppose -14*m**4 - 32*m**3 + 34*m**2 + 12*m = 0. What is m?
-3, -2/7, 0, 1
Let -q**4 + 3*q**2 + 2*q = 0. Calculate q.
-1, 0, 2
Find f, given that -5*f**3/4 + 125*f**2 + 505*f/4 = 0.
-1, 0, 101
Factor -4*z**4 - 8*z**3 + 12*z**2 + 16*z - 16.
-4*(z - 1)**2*(z + 2)**2
Let -36*f**4 + 368*f**3 + 1936*f**2 - 448*f = 0. Calculate f.
-4, 0, 2/9, 14
What is z in -12*z**3 - 4*z**2 - z/3 = 0?
-1/6, 0
Determine d, given that -4*d**3 + 120*d**2 + 124*d = 0.
-1, 0, 31
What is i in 4*i**3 + 992*i**2 - 2000*i = 0?
-250, 0, 2
Determine f, given that 2*f**2/5 + 6*f + 28/5 = 0.
-14, -1
Factor 5*l**5 + 40*l**4 - 50*l**3 - 40*l**2 + 45*l.
5*l*(l - 1)**2*(l + 1)*(l + 9)
Factor -51