 162*r + 24 = 0. Calculate r.
-4/29, 2
Solve m**5/4 + 9*m**4/2 - 19*m**3/4 = 0.
-19, 0, 1
Factor -2*m**3/3 - 26*m**2/3 - 112*m/3 - 160/3.
-2*(m + 4)**2*(m + 5)/3
Determine w so that 2*w**5/9 - 4*w**4/9 - 8*w**3/3 + 4*w**2 + 6*w = 0.
-3, -1, 0, 3
Factor 3*z**2 + 150*z + 423.
3*(z + 3)*(z + 47)
Find y, given that -2*y**5/3 + 2*y**4/3 + 8*y**3 + 8*y**2/3 - 32*y/3 = 0.
-2, 0, 1, 4
Factor 5*x**4 - 45*x**3 - 405*x**2 - 655*x - 300.
5*(x - 15)*(x + 1)**2*(x + 4)
Factor 7*h**3 + 2*h**2 - 7*h - 2.
(h - 1)*(h + 1)*(7*h + 2)
Suppose 3*c**3/2 - 306*c**2 + 20808*c - 471648 = 0. Calculate c.
68
Let 2*v**5/3 + 10*v**4/3 + 4*v**3 = 0. Calculate v.
-3, -2, 0
Factor 5*b**4 - 90*b**3 + 185*b**2 + 1980*b + 2420.
5*(b - 11)**2*(b + 2)**2
Factor -3*f**4/5 - 18*f**3/5 - 3*f**2.
-3*f**2*(f + 1)*(f + 5)/5
Factor o**4/4 + 83*o**3 + 16311*o**2/2 + 210239*o + 6416089/4.
(o + 17)**2*(o + 149)**2/4
Find r, given that 3*r**5/2 + 9*r**4 + 3*r**3 - 30*r**2 - 81*r/2 - 15 = 0.
-5, -1, 2
Factor 3*d**4/8 + 105*d**3/8 + 93*d**2/2.
3*d**2*(d + 4)*(d + 31)/8
Let -3*p**5 - 93*p**4 - 309*p**3 + 6621*p**2 - 10488*p - 17328 = 0. What is p?
-19, -1, 4
Solve -2*f**3 + 71*f**2/8 - 19*f/2 + 21/8 = 0 for f.
7/16, 1, 3
Solve -3*c**4 - 126*c**3 - 441*c**2 + 570*c = 0.
-38, -5, 0, 1
Solve 3*u**5 - 48*u**4 - 21*u**3 + 354*u**2 - 288*u = 0.
-3, 0, 1, 2, 16
Solve q**2/5 - 64*q/5 + 1024/5 = 0 for q.
32
Find a, given that 275*a**4 - 170*a**3 - 3395*a**2 - 1270*a - 120 = 0.
-3, -1/5, -2/11, 4
What is l in 8*l**5/7 + 52*l**4/7 + 64*l**3/7 - 172*l**2/7 - 384*l/7 - 144/7 = 0?
-3, -2, -1/2, 2
What is z in 3*z**3 + 24*z**2 - 336*z + 768 = 0?
-16, 4
Let 729*f**5 + 1215*f**4 - 864*f**3 - 856*f**2 - 208*f - 16 = 0. Calculate f.
-2, -2/9, 1
Factor m**3/9 + m**2/9 - 4*m/9 - 4/9.
(m - 2)*(m + 1)*(m + 2)/9
Find j such that 4*j**2 - 88*j + 340 = 0.
5, 17
Determine q so that -8*q**5/5 + 34*q**4/5 + 6*q**3/5 - 58*q**2/5 + 2*q/5 + 24/5 = 0.
-1, -3/4, 1, 4
Factor -2*w**2 + 568*w - 2240.
-2*(w - 280)*(w - 4)
Solve w**5/2 + 9*w**4 - 187*w**3/2 + 262*w**2 - 282*w + 104 = 0 for w.
-26, 1, 2, 4
What is j in -2*j**4/9 + 16*j**3/9 - 4*j**2/9 - 64*j/9 - 14/3 = 0?
-1, 3, 7
Suppose -i**5 - 12*i**4 - 20*i**3 + 2*i**2 + 21*i + 10 = 0. Calculate i.
-10, -1, 1
Suppose l**4 - 4*l**3 - 6*l**2 + 4*l + 5 = 0. Calculate l.
-1, 1, 5
Factor -3*c**2 - 102*c.
-3*c*(c + 34)
Suppose -3*m**5/8 + 177*m**4/8 - 3291*m**3/8 + 16491*m**2/8 + 23805*m/4 = 0. What is m?
-2, 0, 15, 23
Factor 25*q**2 - 60*q + 35.
5*(q - 1)*(5*q - 7)
Factor 2*c**4/5 - 2*c**3 + 18*c**2/5 - 14*c/5 + 4/5.
2*(c - 2)*(c - 1)**3/5
Solve -16*c**2/7 + 22*c/7 - 6/7 = 0 for c.
3/8, 1
Find u, given that -u**5/2 + 21*u**4/2 + 174*u**3 + 752*u**2 + 1296*u + 792 = 0.
-6, -2, 33
Let 4*k**2 + 8800*k = 0. What is k?
-2200, 0
Let -i**3/5 + 2*i**2 + 63*i/5 - 648/5 = 0. What is i?
-8, 9
Solve -s**5/3 - 2*s**4 + 4*s**3/3 + 8*s**2 = 0.
-6, -2, 0, 2
Factor a**3 + 24*a**2 - 55*a - 78.
(a - 3)*(a + 1)*(a + 26)
Find o, given that -4*o**4 + 24*o**3 = 0.
0, 6
Factor -2*p**2/17 - 20*p/17 - 42/17.
-2*(p + 3)*(p + 7)/17
Factor 3*y**2 + 636*y + 33708.
3*(y + 106)**2
Solve 2*p**3/9 + 16*p**2/9 - 158*p/9 - 364/9 = 0.
-13, -2, 7
Let 4*f**3/5 - 1176*f**2/5 + 115248*f/5 - 3764768/5 = 0. What is f?
98
Suppose 3*v**3 - 426*v**2 + 1668*v - 1656 = 0. Calculate v.
2, 138
Find u, given that 3*u**5 + 504*u**4 + 27708*u**3 + 468882*u**2 - 1608255*u + 1111158 = 0.
-57, 1, 2
Find r, given that 8*r**4/13 + 248*r**3/13 - 2078*r**2/13 + 1888*r/13 - 456/13 = 0.
-38, 1/2, 6
Factor -5*c**3/3 + 85*c**2/3 - 50*c/3 - 160.
-5*(c - 16)*(c - 3)*(c + 2)/3
Suppose 8*i**3 + 22*i**2 + 10*i - 4 = 0. Calculate i.
-2, -1, 1/4
Suppose -5*d**4 - 50*d**3 - 85*d**2 - 40*d = 0. Calculate d.
-8, -1, 0
Factor -3*z**2 + 18*z + 273.
-3*(z - 13)*(z + 7)
Let 5*m**3 + 80*m**2 + 140*m = 0. What is m?
-14, -2, 0
Suppose -2*w**2/7 + 24*w/7 + 216/7 = 0. What is w?
-6, 18
Determine n so that -n**4 - 11*n**3 + 3*n**2 + 35*n + 22 = 0.
-11, -1, 2
Factor -2*d**4/15 - 202*d**3/15 - 40*d**2/3.
-2*d**2*(d + 1)*(d + 100)/15
Solve -8*c**3/13 - 298*c**2/13 - 634*c/13 - 140/13 = 0.
-35, -2, -1/4
Suppose 2*w**2 - 122*w - 1752 = 0. What is w?
-12, 73
Determine n so that -2*n**3 - 70*n**2 - 576*n + 648 = 0.
-18, 1
Solve -3*k**2 + 162*k - 312 = 0 for k.
2, 52
Factor j**2/4 - 25*j/4 + 36.
(j - 16)*(j - 9)/4
Factor 5*d**2 + 135*d + 130.
5*(d + 1)*(d + 26)
Let 3*v**4 + 825*v**3 - 831*v**2 - 825*v + 828 = 0. Calculate v.
-276, -1, 1
Factor 2*m**3 + 612*m**2 + 2416*m.
2*m*(m + 4)*(m + 302)
Factor -2*r**4 - 11*r**3/2 + 19*r**2/2 - 2*r.
-r*(r - 1)*(r + 4)*(4*r - 1)/2
Solve -4*v**2 - 80*v + 1044 = 0.
-29, 9
Let -2*q**2/17 + 126*q/17 + 980/17 = 0. Calculate q.
-7, 70
Suppose -45*j**5 + 2940*j**4 - 47030*j**3 - 32340*j**2 - 5445*j = 0. Calculate j.
-1/3, 0, 33
Factor -5*b**4/6 - 95*b**3/2 + 305*b**2 - 1870*b/3 + 420.
-5*(b - 2)**3*(b + 63)/6
Factor -p**4/2 - p**3/2 + 2*p**2 + 2*p.
-p*(p - 2)*(p + 1)*(p + 2)/2
Factor 3*t**2 + 99*t + 96.
3*(t + 1)*(t + 32)
Determine z so that z**3/2 + 115*z**2/2 = 0.
-115, 0
Find o such that 2*o**4/9 - 8*o**2/9 = 0.
-2, 0, 2
Determine o, given that o**2 - 213*o + 422 = 0.
2, 211
Factor -u**5/3 + u**4/3 + u**3/3 - u**2/3.
-u**2*(u - 1)**2*(u + 1)/3
Suppose -4*s**4 - 1370*s**3 - 117648*s**2 - 58482*s = 0. What is s?
-171, -1/2, 0
What is a in -2*a**2 - 404*a + 2496 = 0?
-208, 6
Factor 8*h**3/5 + 46*h**2/5 + 6*h.
2*h*(h + 5)*(4*h + 3)/5
Let -3*o**4 - 69*o**3 - 333*o**2 - 471*o - 204 = 0. What is o?
-17, -4, -1
Factor 4*p**3 + 108*p**2 - 16*p - 432.
4*(p - 2)*(p + 2)*(p + 27)
Factor -i**3/7 + 17*i**2/7 - 16*i/7.
-i*(i - 16)*(i - 1)/7
Find h such that 5*h**4 + 2480*h**3 + 461280*h**2 + 38132480*h + 1182106880 = 0.
-124
Determine n so that n**4/2 + 1139*n**3/2 - 2856*n**2 + 4574*n - 2288 = 0.
-1144, 1, 2
Find t such that 25*t**4 + 90*t**3 - 65*t**2 - 90*t + 40 = 0.
-4, -1, 2/5, 1
Suppose -4*k**5 - 64*k**4 - 176*k**3 + 712*k**2 + 180*k - 648 = 0. Calculate k.
-9, -1, 1, 2
Factor -4*i**2 - 1084*i + 1088.
-4*(i - 1)*(i + 272)
Suppose 2*h**5 + 4*h**4 + 2*h**3 = 0. Calculate h.
-1, 0
Factor 4*x**3 + 48*x**2 - 4*x - 48.
4*(x - 1)*(x + 1)*(x + 12)
Factor 2*z**4 + 12*z**3 + 8*z**2 - 12*z - 10.
2*(z - 1)*(z + 1)**2*(z + 5)
Factor -16*d**3 + 8888*d**2 + 4447*d + 556.
-(d - 556)*(4*d + 1)**2
Let 4*x**4 - 56*x**3 + 176*x**2 - 160*x = 0. Calculate x.
0, 2, 10
Let -o**3/3 - 28*o**2/3 - 9*o = 0. Calculate o.
-27, -1, 0
Factor -20*y**3 - 55*y**2 - 30*y.
-5*y*(y + 2)*(4*y + 3)
What is m in m**4/2 + m**3 - 3*m**2/2 = 0?
-3, 0, 1
Suppose -l**3/10 + 16*l**2/5 + 199*l/10 - 259/5 = 0. Calculate l.
-7, 2, 37
Solve 3*p**3/5 - 99*p**2/5 + 1089*p/5 - 3993/5 = 0.
11
Let 13*x**3 + 41*x**2 + 32*x + 4 = 0. What is x?
-2, -1, -2/13
Factor -3*r**3 - 66*r**2 - 420*r - 600.
-3*(r + 2)*(r + 10)**2
Factor -z**2 - 52*z.
-z*(z + 52)
Determine y, given that 2*y**5/11 + 50*y**4/11 - 114*y**3/11 - 14*y**2 + 224*y/11 + 216/11 = 0.
-27, -1, 2
Factor -3*f**2/2 - 45*f - 84.
-3*(f + 2)*(f + 28)/2
Factor -2*r**3 - 120*r**2.
-2*r**2*(r + 60)
Determine p, given that 4*p**4/3 - 8*p**3/3 - 16*p**2 - 56*p/3 - 20/3 = 0.
-1, 5
Factor -2*r**5/17 - 40*r**4/17 - 236*r**3/17 - 360*r**2/17 - 162*r/17.
-2*r*(r + 1)**2*(r + 9)**2/17
Factor d**3 - 123*d**2 + 3843*d - 3721.
(d - 61)**2*(d - 1)
Factor 3*d**2/5 - 297*d/5 - 726.
3*(d - 110)*(d + 11)/5
Factor -h**3/3 + 44*h**2 - 87*h + 130/3.
-(h - 130)*(h - 1)**2/3
Find i, given that -i**2/7 - i/7 + 12/7 = 0.
-4, 3
Factor 5*u**3 + 120*u**2 + 85*u - 690.
5*(u - 2)*(u + 3)*(u + 23)
Let -o**3 + 712*o**2 - 2836*o + 2832 = 0. Calculate o.
2, 708
Suppose -5*k**4 + 30*k**3 - 65*k**2 + 60*k - 20 = 0. What is k?
1, 2
Determine s so that s**5 + 269*s**4/4 + 835*s**3/4 + 44*s**2 - 257*s - 64 = 0.
-64, -2, -1/4, 1
Suppose 10*q**5/11 - 84*q**4/11 + 2*q**3 + 84*q**2/11 - 32*q/11 = 0. What is q?
-1, 0, 2/5, 1, 8
Solve 6*i**3 + 3*i**2 - 6*i - 3 = 0.
-1, -1/2, 1
Factor f**2/7 + 36*f/7 + 324/7.
(f + 18)**2/7
Factor -3*p**5/2 + 51*p**4 - 867*p**3/2.
-3*p**3*(p - 17)**2/2
What is f in -f**3/4 + 17*f**2/2 - 151*f/4 + 87/2 = 0?
2, 3, 29
Factor 2*s**5 - 20*s**4 + 48*s**3 + 64*s**2 - 256*s.
2*s*(s - 4)**3*(s + 2)
What is o in -20*o**3 - 1832*o**2 + 2596*o - 744 = 0?
-93, 2/5, 1
What is h in -3*h**5 + 15*h**4/2 + 9*h**3/2 - 33*h**2/2 - 3*h/2 + 9 = 0?
-1, 1, 3/2, 2
Find a, given that 1