 k**3/7 + 2*k**2/7 - 3*k/7 = 0. Calculate k.
-3, 0, 1
Factor 4*z**5 - 164*z**4 - 340*z**3 - 172*z**2.
4*z**2*(z - 43)*(z + 1)**2
Factor m**4/2 + 68*m**3 - 417*m**2/2 + 2*m + 278.
(m - 2)**2*(m + 1)*(m + 139)/2
Let 3*x**4/2 + 21*x**3/2 - 15*x**2 - 24*x = 0. What is x?
-8, -1, 0, 2
Suppose -w**3/6 + 89*w**2/6 + 556*w/3 - 200 = 0. What is w?
-12, 1, 100
Determine d, given that 2*d**5 - 6*d**4 + 8*d**2 = 0.
-1, 0, 2
Factor 2*b**3/9 - 40*b**2/9 + 26*b/9 + 676/3.
2*(b - 13)**2*(b + 6)/9
Factor -2*n**4/3 - 466*n**3/3 - 8970*n**2 + 9126*n.
-2*n*(n - 1)*(n + 117)**2/3
Suppose v**2 - 177*v + 2132 = 0. Calculate v.
13, 164
Factor 3*o**2 + 108*o - 228.
3*(o - 2)*(o + 38)
Find m such that 175*m**5/3 + 190*m**4/3 - 107*m**3/3 - 182*m**2/3 - 68*m/3 - 8/3 = 0.
-1, -2/5, -2/7, 1
Determine s, given that 5*s**3 + 25*s**2 - 65*s + 35 = 0.
-7, 1
Find h, given that 4*h**3/9 + 2*h**2 + 14*h/9 - 4/3 = 0.
-3, -2, 1/2
Determine d so that -52*d**5 + 876*d**4 + 175*d**3 - 644*d**2 - 321*d - 34 = 0.
-1/2, -2/13, 1, 17
Determine q, given that q**2/2 + 149*q/2 + 219 = 0.
-146, -3
Suppose -3*t**3 + 18*t**2 + 120*t - 576 = 0. What is t?
-6, 4, 8
Factor g**5 + 5*g**4.
g**4*(g + 5)
Factor w**2/5 + 13*w/5 + 8.
(w + 5)*(w + 8)/5
Solve 22*z**4/7 - 114*z**3/7 + 174*z**2/7 - 94*z/7 + 12/7 = 0.
2/11, 1, 3
Factor z**5/3 + z**4 - 70*z**3/3.
z**3*(z - 7)*(z + 10)/3
Factor t**2 + 2*t.
t*(t + 2)
Factor -3*p**3 - 108*p**2 - 87*p + 630.
-3*(p - 2)*(p + 3)*(p + 35)
Factor -3*u**2 - 174*u - 795.
-3*(u + 5)*(u + 53)
Solve 2*n**2 + 38*n = 0 for n.
-19, 0
Factor -2*f**3/17 + 12*f**2/17 + 98*f/17 + 132/17.
-2*(f - 11)*(f + 2)*(f + 3)/17
What is i in -i**3/3 + 69*i**2 - 3605*i + 10609/3 = 0?
1, 103
Determine t so that 14*t**5/9 - 514*t**4/9 + 3758*t**3/9 - 254*t**2 - 108*t = 0.
-2/7, 0, 1, 9, 27
Solve -16*y**2/5 - 242*y/5 - 6 = 0.
-15, -1/8
Suppose -24*f**2 + 44*f + 8 = 0. Calculate f.
-1/6, 2
Factor -4*l**4/3 + 16*l**2/3.
-4*l**2*(l - 2)*(l + 2)/3
Suppose -6*i**4/11 - 266*i**3/11 - 8*i**2 = 0. Calculate i.
-44, -1/3, 0
Find m such that 5*m**5 - 40*m**4 + 20*m**3 + 130*m**2 - 185*m + 70 = 0.
-2, 1, 7
Solve -2*y**4/9 - 272*y**3/9 + 550*y**2/9 - 92*y/3 = 0 for y.
-138, 0, 1
Find x such that -x**2 - 58*x + 120 = 0.
-60, 2
Factor k**5 - 8*k**4 + 15*k**3.
k**3*(k - 5)*(k - 3)
Find b such that -2*b**3/7 - 10*b**2/7 + 26*b/7 - 2 = 0.
-7, 1
Solve -k**5/7 + 4*k**4/7 + 50*k**3/7 - 44*k**2 + 65*k - 200/7 = 0 for k.
-8, 1, 5
Factor -3*d**3 - 12*d**2 - 3*d + 18.
-3*(d - 1)*(d + 2)*(d + 3)
Let -3*o**5/8 + 9*o**4 - 243*o**3/8 - 2949*o**2/4 + 13563*o/2 - 16335 = 0. Calculate o.
-10, 6, 11
Factor 622*g**2/3 + 620*g/3 - 2/3.
2*(g + 1)*(311*g - 1)/3
Let 2*q**5/7 - 10*q**4/7 - 106*q**3/7 + 250*q**2/7 + 256*q + 280 = 0. What is q?
-5, -2, 7
Let y**4/3 + 10*y**3/3 - y**2 - 28*y/3 + 20/3 = 0. What is y?
-10, -2, 1
Let -5*q**3/4 + 1491*q**2/2 - 111303*q + 44402 = 0. What is q?
2/5, 298
Determine t, given that -t**5/2 - 23*t**4/2 + 189*t**3/2 + 443*t**2/2 + 116*t = 0.
-29, -1, 0, 8
Factor 5*d**4 - 215*d**3 - 465*d**2 + 675*d.
5*d*(d - 45)*(d - 1)*(d + 3)
Factor k**2/5 - 333*k/5.
k*(k - 333)/5
Find t such that 2*t**5 + 104*t**4 - 672*t**3 + 1376*t**2 - 928*t = 0.
-58, 0, 2
Factor 6*d**3/11 - 120*d**2/11 - 1302*d/11 - 1176/11.
6*(d - 28)*(d + 1)*(d + 7)/11
Factor 8*f**2 - 5694*f - 1424.
2*(f - 712)*(4*f + 1)
Let -3*b**3/7 + 3*b**2/7 + 15*b/7 + 9/7 = 0. Calculate b.
-1, 3
Solve -2*c**2 + 24*c - 22 = 0 for c.
1, 11
Suppose 2*g**4/13 - 20*g**3/13 + 40*g**2/13 + 20*g/13 - 42/13 = 0. What is g?
-1, 1, 3, 7
Factor -n**3 - 88*n**2/5 - 51*n/5.
-n*(n + 17)*(5*n + 3)/5
Suppose -4*h**3 - 192*h**2 - 188*h = 0. Calculate h.
-47, -1, 0
Let -15*t**3 + 27*t**2/2 + 57*t/2 + 9 = 0. Calculate t.
-3/5, -1/2, 2
Suppose 2*p**4 + 12*p**3 + 26*p**2 + 24*p + 8 = 0. What is p?
-2, -1
Factor 2*o**4 + 372*o**3 + 23138*o**2 + 543120*o + 4263200.
2*(o + 20)**2*(o + 73)**2
Determine g so that -g**5/8 - 15*g**4/8 - 13*g**3/8 + 15*g**2/8 + 7*g/4 = 0.
-14, -1, 0, 1
Suppose r**3/4 - 67*r**2/4 + 371*r/4 - 305/4 = 0. Calculate r.
1, 5, 61
Suppose -16*z**3 - 68*z**2 - 16*z = 0. Calculate z.
-4, -1/4, 0
Factor 6*v**2 + 5*v - 6.
6*v**2 + 5*v - 6
Factor 2*v**3/5 - 132*v**2/5 + 342*v/5 + 2268/5.
2*(v - 63)*(v - 6)*(v + 3)/5
Determine n so that -2*n**5 - 146*n**4 - 954*n**3 - 2006*n**2 - 1724*n - 528 = 0.
-66, -4, -1
Factor x**3 - 5*x**2 + 8*x - 4.
(x - 2)**2*(x - 1)
Factor -3*l**2/2 + 201*l + 405/2.
-3*(l - 135)*(l + 1)/2
What is g in 6*g**5 + 57*g**4 + 138*g**3 - 48*g**2 - 288*g + 135 = 0?
-5, -3, 1/2, 1
Factor p**3 + 24*p**2 - 79*p + 54.
(p - 2)*(p - 1)*(p + 27)
What is z in -4*z**4/5 - 14*z**3/5 + 46*z**2/5 + 86*z/5 + 6 = 0?
-5, -1, -1/2, 3
Factor -2*s**2 - 22*s.
-2*s*(s + 11)
Factor -x**2 - 16*x - 64.
-(x + 8)**2
Solve n**4/6 - n**3/3 - 7*n**2/6 - 2*n/3 = 0.
-1, 0, 4
Factor -3*q**3/2 + 11*q**2/6 + 8*q/3 - 2/3.
-(q - 2)*(q + 1)*(9*q - 2)/6
What is c in -5*c**2 - 280*c + 1200 = 0?
-60, 4
Factor z**5 + 9*z**4 - 36*z**3 + 4*z**2 + 48*z.
z*(z - 2)**2*(z + 1)*(z + 12)
Factor -4*l**3 + 1924*l**2 + 3860*l + 1932.
-4*(l - 483)*(l + 1)**2
Suppose 4*r**4 + 1204*r**3 - 4*r**2 - 1204*r = 0. What is r?
-301, -1, 0, 1
Factor -162*m**4/11 + 234*m**3/11 - 80*m**2/11 + 8*m/11.
-2*m*(m - 1)*(9*m - 2)**2/11
Solve 26*d**4/7 - 2*d**3/7 - 1950*d**2/7 + 950*d - 500/7 = 0.
-10, 1/13, 5
Suppose 12*x**4 + 100*x**3 + 24*x**2 - 64*x = 0. Calculate x.
-8, -1, 0, 2/3
Find d, given that -3*d**4 + 15*d**3 - 18*d**2 - 12*d + 24 = 0.
-1, 2
Suppose -2*m**5/5 + 108*m**4/5 - 962*m**3/5 - 13392*m**2/5 - 30752*m/5 = 0. Calculate m.
-4, 0, 31
Determine o, given that -6*o**5/7 - 45*o**4/7 - 18*o**3 - 24*o**2 - 108*o/7 - 27/7 = 0.
-3, -3/2, -1
Factor 5*z**5/2 + 10*z**4 - 30*z**3.
5*z**3*(z - 2)*(z + 6)/2
Suppose -2*c**2 - 148*c = 0. What is c?
-74, 0
Factor 5*y**2/4 + 315*y/2 + 625/4.
5*(y + 1)*(y + 125)/4
Find t, given that 2*t**2 - 16*t - 130 = 0.
-5, 13
What is u in -2*u**4 + 10*u**3 - 12*u**2 - 8*u + 16 = 0?
-1, 2
Factor -18*b**5 - 16*b**4.
-2*b**4*(9*b + 8)
What is k in k**5/4 + 19*k**4/4 - 7*k**3/4 - 127*k**2/4 + 57*k/2 = 0?
-19, -3, 0, 1, 2
Factor 5*f**2 + 370*f + 1400.
5*(f + 4)*(f + 70)
What is u in -u**5/3 + 9*u**4 - 194*u**3/3 + 56*u**2 = 0?
0, 1, 12, 14
Factor -2*i**3/9 + 32*i**2/9 - 46*i/3 + 12.
-2*(i - 9)*(i - 6)*(i - 1)/9
Determine o so that -5*o**2 + 40*o + 525 = 0.
-7, 15
Factor -5*x**2 - 170*x + 175.
-5*(x - 1)*(x + 35)
Factor -t**2/4 - 5*t/4 - 1.
-(t + 1)*(t + 4)/4
Factor -4*v**3 - 12*v**2 - 8*v.
-4*v*(v + 1)*(v + 2)
Factor -3*z**3/4 - 153*z**2/4.
-3*z**2*(z + 51)/4
What is p in -2*p**2 - 5808*p - 5806 = 0?
-2903, -1
Determine g so that 560*g**3 - 668*g**2 + 100*g + 8 = 0.
-2/35, 1/4, 1
Solve i**4/4 + 7*i**3/4 - 13*i**2/4 - 43*i/4 - 6 = 0 for i.
-8, -1, 3
Factor 3*o**4 - 396*o**3 + 17802*o**2 - 288444*o + 715563.
3*(o - 43)**3*(o - 3)
Determine k, given that 12*k**5 - 208*k**4 + 1116*k**3 - 1512*k**2 - 1568*k = 0.
-2/3, 0, 4, 7
Factor 5*w**3 + 35*w**2 + 70*w + 40.
5*(w + 1)*(w + 2)*(w + 4)
Factor 3*z**4 + 60*z**3 - 198*z**2 + 204*z - 69.
3*(z - 1)**3*(z + 23)
Factor 2*x**5/9 - 4*x**4/9 - 14*x**3/9 - 8*x**2/9.
2*x**2*(x - 4)*(x + 1)**2/9
Let -2*k**4/7 + 2*k**3 + 38*k**2/7 - 2*k - 36/7 = 0. What is k?
-2, -1, 1, 9
Factor -2*w**3/3 - 68*w**2 - 1800*w - 10000/3.
-2*(w + 2)*(w + 50)**2/3
Determine w, given that 7*w**3 - 102*w**2 + 371*w - 180 = 0.
4/7, 5, 9
Factor 2*i**2 - 1138*i + 1136.
2*(i - 568)*(i - 1)
Solve -2*j**2/7 + 48*j + 680/7 = 0.
-2, 170
Let 25*h**5 + 10*h**4 - 75*h**3 + 20*h**2 + 20*h = 0. What is h?
-2, -2/5, 0, 1
Factor 5*s**5 + 25*s**4 - 90*s**3 - 100*s**2 + 280*s.
5*s*(s - 2)**2*(s + 2)*(s + 7)
Factor 2*a**4/5 - 20*a**3 - 326*a**2/5 + 424*a/5.
2*a*(a - 53)*(a - 1)*(a + 4)/5
Factor -4*b**3 - 72*b**2 - 380*b - 504.
-4*(b + 2)*(b + 7)*(b + 9)
Factor -7*z**3 - 6*z**2 + 7*z + 6.
-(z - 1)*(z + 1)*(7*z + 6)
Find p such that p**2/7 + 48*p/7 + 92/7 = 0.
-46, -2
Suppose 2*d**2/17 + 430*d/17 + 852/17 = 0. What is d?
-213, -2
Determine g, given that 4*g**5 + 9*g**4 - 14*g**3 - 12*g**2 + 10*g + 3 = 0.
-3, -1, -1/4, 1
Factor -5*g**5 + 145*g**4 - 1475*g**3 + 5495*g**2 + 980*g - 34300.
-5*(g - 10)*(g - 7)**3*(g + 2)
Determine w, given that -4*w**4 + 8*w**3 + 12*w**2 = 0.
-1, 0, 3
Solve -2*j**3/11 + 6*j**2/11 - 6*j/11 + 2/11 = 0.
1
Factor 28*o**3/9 - 352*o**2/3 - 1396*o/9 - 104/3.
4*