4/2 - 87*z**3/2 - 1365*z**2/2 - 4949*z/2.
z*(z - 101)*(z + 7)**2/2
Factor -3*x**2 + 1488*x/5 - 1764/5.
-3*(x - 98)*(5*x - 6)/5
Determine r so that 2*r**3/5 - 22*r**2/5 - 2*r/5 + 22/5 = 0.
-1, 1, 11
Let 2*m**5/13 - 6*m**4/13 + 2*m**3/13 + 6*m**2/13 - 4*m/13 = 0. Calculate m.
-1, 0, 1, 2
Find z such that 5*z**4 - 20*z**3 + 5*z**2 + 30*z = 0.
-1, 0, 2, 3
Determine a, given that -5*a**5 - 85*a**4 - 40*a**3 + 700*a**2 + 960*a = 0.
-16, -2, 0, 3
Let 16*a**4/7 + 6*a**3 = 0. Calculate a.
-21/8, 0
Find w such that 52*w**5/5 - 148*w**4/5 + 28*w**3/5 + 164*w**2/5 - 16*w - 16/5 = 0.
-1, -2/13, 1, 2
Factor 2*g**2 + 550*g - 1668.
2*(g - 3)*(g + 278)
Determine l, given that -3*l**3 + 15*l**2 + 24*l - 144 = 0.
-3, 4
Let 14*c**2/13 + 36*c/13 - 80/13 = 0. Calculate c.
-4, 10/7
Factor -7*u**2/6 - 19*u - 16/3.
-(u + 16)*(7*u + 2)/6
Factor -5*s**3 + 480*s**2 - 11520*s.
-5*s*(s - 48)**2
Factor f**4/7 - 16*f**3/7 + 6*f**2 - 40*f/7 + 13/7.
(f - 13)*(f - 1)**3/7
Factor 5*b**2 - 625*b + 620.
5*(b - 124)*(b - 1)
Factor m**2 + 22*m + 72.
(m + 4)*(m + 18)
Let -5*o**4 - 250*o**3 - 2585*o**2 + 13500*o - 14580 = 0. Calculate o.
-27, 2
Factor 20*a**2 + 98*a.
2*a*(10*a + 49)
What is w in -w**3 + 59*w**2 - 270*w = 0?
0, 5, 54
Factor -3*a**2/2 - 333*a/2 - 165.
-3*(a + 1)*(a + 110)/2
Solve 4*g**3 - 8*g**2 + 4*g = 0 for g.
0, 1
Factor -r**2/3 - 10*r.
-r*(r + 30)/3
Let -3*v**4 + 138*v**3 - 264*v**2 = 0. Calculate v.
0, 2, 44
Factor 4*k**5 - 844*k**4 + 4956*k**3 - 7380*k**2.
4*k**2*(k - 205)*(k - 3)**2
Factor 6*j**2/17 - 184*j/17.
2*j*(3*j - 92)/17
Factor u**4 + 4*u**3 - 7*u**2 - 10*u.
u*(u - 2)*(u + 1)*(u + 5)
Factor -2*r**3 - 86*r**2 + 178*r - 90.
-2*(r - 1)**2*(r + 45)
Determine t, given that 20*t**4 - 68*t**3 + 64*t**2 - 16*t = 0.
0, 2/5, 1, 2
Factor -2*u**3 + 311*u**2 - 463*u + 154.
-(u - 154)*(u - 1)*(2*u - 1)
Find i such that -206*i**3/13 - 820*i**2/13 - 602*i/13 + 12/13 = 0.
-3, -1, 2/103
Determine h so that h**5 - 2*h**4 - 2*h**3 + 4*h**2 + h - 2 = 0.
-1, 1, 2
Factor 3*a**3 + 30*a**2 + 48*a.
3*a*(a + 2)*(a + 8)
Factor -b**3 - 2513*b**2 - 1580048*b - 1577536.
-(b + 1)*(b + 1256)**2
Determine f, given that 3*f**4 - 21*f**2 + 18*f = 0.
-3, 0, 1, 2
Factor 5*f**4 + 145*f**3 + 735*f**2 + 1055*f + 460.
5*(f + 1)**2*(f + 4)*(f + 23)
Determine d, given that -2*d**2 + 9248*d - 10690688 = 0.
2312
Factor -n**4 + 5*n**3 - 6*n**2 - 4*n + 8.
-(n - 2)**3*(n + 1)
Factor -96*v**3/5 - 39*v**2 - 6*v/5.
-3*v*(v + 2)*(32*v + 1)/5
What is y in 21*y**2/2 + 8385*y/2 + 1197 = 0?
-399, -2/7
Factor -3*o**2 + 9*o + 12.
-3*(o - 4)*(o + 1)
Determine w, given that -21*w**5 + 15*w**4 + 447*w**3 + 105*w**2 - 426*w - 120 = 0.
-4, -1, -2/7, 1, 5
Factor h**2/6 - 47*h/3 + 60.
(h - 90)*(h - 4)/6
Let -q**2/8 + 791*q/2 - 625681/2 = 0. What is q?
1582
Suppose -2*r**2/5 - 436*r/5 = 0. Calculate r.
-218, 0
Factor 245*f**2 + 78960*f + 6361920.
5*(7*f + 1128)**2
Factor -3*q**2 - 87*q - 630.
-3*(q + 14)*(q + 15)
Factor -2*n**3/13 - 966*n**2/13 - 1926*n/13 - 74.
-2*(n + 1)**2*(n + 481)/13
Factor -2*z**2/5 + 52*z/5 - 338/5.
-2*(z - 13)**2/5
Factor -2*w**2/11 - 30*w/11 - 72/11.
-2*(w + 3)*(w + 12)/11
Factor 2*s**5 - 12*s**3 - 16*s**2 - 6*s.
2*s*(s - 3)*(s + 1)**3
Factor -2*t**2/3 - 356*t/3 - 350.
-2*(t + 3)*(t + 175)/3
Factor -f**3/6 + 11*f**2/6 - 7*f/6 - 49/2.
-(f - 7)**2*(f + 3)/6
Factor 3*n**5 - 27*n**4 + 69*n**3 - 9*n**2 - 108*n.
3*n*(n - 4)*(n - 3)**2*(n + 1)
Suppose 18*v**3/17 + 436*v**2/17 + 30*v + 92/17 = 0. What is v?
-23, -1, -2/9
Factor -5*a**2/2 + 21*a - 32.
-(a - 2)*(5*a - 32)/2
Factor 5*a**2 + 20*a - 25.
5*(a - 1)*(a + 5)
Solve -r**4 - 172*r**3 - 341*r**2 - 170*r = 0.
-170, -1, 0
Let 25*g**3 + 195*g**2 + 144*g + 28 = 0. Calculate g.
-7, -2/5
Suppose -i**4/2 - 14*i**3 + 29*i**2/2 = 0. Calculate i.
-29, 0, 1
Find o, given that 2*o**2/7 + 1832*o/7 + 419528/7 = 0.
-458
Factor -3*i**2/7 - 78*i/7 - 75/7.
-3*(i + 1)*(i + 25)/7
Find r, given that 6*r**3 + 9*r**2 - 9*r - 6 = 0.
-2, -1/2, 1
Solve 2*a**2 - 36*a + 34 = 0.
1, 17
Factor -8*x**3 - 158*x**2 + 46*x + 120.
-2*(x - 1)*(x + 20)*(4*x + 3)
Factor 18*r**4/7 - 4*r**3 + 2*r**2/7 + 8*r/7.
2*r*(r - 1)**2*(9*r + 4)/7
Factor -4*u**3/3 - 3256*u**2/3 + 2180*u + 3264.
-4*(u - 3)*(u + 1)*(u + 816)/3
Factor 4*h**4 - 12*h**3 - 100*h**2 - 84*h.
4*h*(h - 7)*(h + 1)*(h + 3)
Factor -4*i**3 + 32*i**2.
-4*i**2*(i - 8)
Find c, given that 4*c**4 + 48*c**3 + 148*c**2 + 24*c - 224 = 0.
-7, -4, -2, 1
Solve b**5 - 6*b**4 + 11*b**3 - 2*b**2 - 12*b + 8 = 0.
-1, 1, 2
Solve -3*n**2 + 3542*n - 2360 = 0.
2/3, 1180
Solve -2*k**4 - 254*k**3 - 1234*k**2 - 1714*k - 732 = 0 for k.
-122, -3, -1
Determine y, given that 3*y**5/5 - 6*y**4 - 81*y**3/5 + 96*y**2/5 + 156*y/5 - 144/5 = 0.
-2, 1, 12
Factor 4*n**4 + 68*n**3 + 252*n**2 - 324*n.
4*n*(n - 1)*(n + 9)**2
Factor -r**3/5 - 3606*r**2/5 - 4334412*r/5 - 1736654408/5.
-(r + 1202)**3/5
Factor -4*o**3 + 88*o**2 - 416*o + 512.
-4*(o - 16)*(o - 4)*(o - 2)
Factor d**4 + d**3 - 20*d**2.
d**2*(d - 4)*(d + 5)
What is i in -i**2/5 + 262*i/5 - 17161/5 = 0?
131
Factor 3*u**3 + 75*u**2 + 168*u - 660.
3*(u - 2)*(u + 5)*(u + 22)
Factor -y**4/4 - y**3/4 + 17*y**2/4 - 15*y/4.
-y*(y - 3)*(y - 1)*(y + 5)/4
Factor -98*j**3/9 + 2114*j**2/9 - 1184*j/9 + 56/3.
-2*(j - 21)*(7*j - 2)**2/9
Let 5*j**2 - 2265*j - 2270 = 0. What is j?
-1, 454
Solve -d**3 - 85*d**2 + d + 85 = 0.
-85, -1, 1
Suppose r**4/3 + 73*r**3/9 - 325*r**2/3 - 433*r - 132 = 0. What is r?
-33, -3, -1/3, 12
Find n such that 2*n**4 - 86*n**3 - 90*n**2 + 86*n + 88 = 0.
-1, 1, 44
Factor k**3/5 + 32*k**2/5.
k**2*(k + 32)/5
Factor -b**2/4 - 387*b/4 - 385/2.
-(b + 2)*(b + 385)/4
Factor -q**2 + 76*q + 2037.
-(q - 97)*(q + 21)
Suppose h**2/12 + h/2 - 28/3 = 0. What is h?
-14, 8
Find r such that r**5/5 - 2841*r**4/5 + 5678*r**3/5 + 2*r**2/5 - 5679*r/5 + 2839/5 = 0.
-1, 1, 2839
Suppose -5*t**2 + 110*t = 0. Calculate t.
0, 22
Factor 21*d**3/5 + 174*d**2/5 - 141*d/5 - 54/5.
3*(d - 1)*(d + 9)*(7*d + 2)/5
Suppose 184*h**5/25 + 2256*h**4/25 + 4486*h**3/25 + 3366*h**2/25 + 1072*h/25 + 24/5 = 0. Calculate h.
-10, -1, -1/2, -6/23
Factor 5*z**4 + 135*z**3 + 125*z**2 - 135*z - 130.
5*(z - 1)*(z + 1)**2*(z + 26)
Factor -4*y**3 - 36180*y**2 - 109082700*y - 109628113500.
-4*(y + 3015)**3
Factor 3*o**4 + 1089*o**3 + 98274*o**2 - 101556*o - 198744.
3*(o - 2)*(o + 1)*(o + 182)**2
Suppose -2*w**3 + 258*w**2 + 788*w + 528 = 0. Calculate w.
-2, -1, 132
Factor 4*z**3 - 4*z**2 - 16*z + 16.
4*(z - 2)*(z - 1)*(z + 2)
Find w such that -11*w**3 - 35*w**2/2 - 2*w + 9/2 = 0.
-1, 9/22
Solve 2*i**3 - 7*i**2 + 5*i = 0 for i.
0, 1, 5/2
Factor n**3/4 + n**2/4 - 705*n/4 + 6975/4.
(n - 15)**2*(n + 31)/4
Factor -2*z**5 - 80*z**4 - 362*z**3 - 412*z**2 + 296*z + 560.
-2*(z - 1)*(z + 2)**3*(z + 35)
Let 9*u**4 + 57*u**3 + 18*u**2 = 0. What is u?
-6, -1/3, 0
Solve -841*i**3/8 - 406*i**2 + 115*i/2 - 2 = 0.
-4, 2/29
What is p in 20*p**2 + 65*p + 15 = 0?
-3, -1/4
Factor 4*b**3 - 16*b**2 + 20*b - 8.
4*(b - 2)*(b - 1)**2
Factor 4*u**3/3 + 20*u**2/3 - 272*u.
4*u*(u - 12)*(u + 17)/3
Determine s so that -6*s**5 - 16*s**4 + 24*s**3 + 60*s**2 + 14*s - 12 = 0.
-3, -1, 1/3, 2
Factor 2*i**4 + 94*i**3 + 434*i**2 + 594*i + 252.
2*(i + 1)**2*(i + 3)*(i + 42)
Determine f so that 2*f**3/19 - 90*f**2/19 + 1038*f/19 - 50 = 0.
1, 19, 25
Factor -6*y**2/5 - 1644*y/5 - 112614/5.
-6*(y + 137)**2/5
Factor 5*s**2 - 65*s - 150.
5*(s - 15)*(s + 2)
Factor 2*w**3/3 + 74*w**2/3 - 890*w/3 + 2350/3.
2*(w - 5)**2*(w + 47)/3
Factor 3*b**4 + 27*b**3 - 51*b**2 - 567*b + 588.
3*(b - 4)*(b - 1)*(b + 7)**2
Let m**2/4 + 3207*m + 10284849 = 0. What is m?
-6414
Suppose 3*y**3/2 - 30*y**2 + 351*y/2 - 243 = 0. What is y?
2, 9
Factor -3*g**5/2 - 153*g**4 - 5850*g**3 - 99372*g**2 - 632736*g.
-3*g*(g + 24)*(g + 26)**3/2
Factor -2*v**2 - 952*v - 113288.
-2*(v + 238)**2
Factor -3*w**3 - 138*w**2 - 267*w - 132.
-3*(w + 1)**2*(w + 44)
Solve q**4 - 3*q**3 - 49*q**2 - 45*q = 0.
-5, -1, 0, 9
Determine p so that 2*p**2/7 - 12*p/7 + 16/7 = 0.
2, 4
Let 3*y**4 + 24*y**3 - 960*y**2 + 4608*y = 0. Calculate y.
-24, 0, 8
Factor -3*j**3/4 - 21*j**2/8 + 21*j/8 + 9/2.
-3*(j + 1)*(j + 4)*(2*j - 3)/8
Find m such that -5*m**2 + 130*m - 840 = 0.
12, 14
Suppose 5*o**4 + 105*o**3 - 110*o**2 = 0. What is o?
-22, 0, 1
Let 4*j**5 + 32*j**4 - 76*j**3 + 40*j**2 = 0. Calculate j.
-10, 0, 1
What is l in 2*l**5/13 - 4*l**4/13 - 20*l**3/