9
Determine c so that -3*c**3/2 + 72*c**2 - 123*c/2 - 423 = 0.
-2, 3, 47
Factor -2*c**4/5 + 1090*c**3 - 4952232*c**2/5 + 1502173408*c/5 - 1497226624/5.
-2*(c - 908)**3*(c - 1)/5
Let -3*u**4/5 + 234*u**3/5 + 483*u**2/5 - 234*u/5 - 96 = 0. Calculate u.
-2, -1, 1, 80
Factor m**3 - 8*m**2 + 12*m.
m*(m - 6)*(m - 2)
Let -5*j**5 + 130*j**4 - 915*j**3 - 550*j**2 + 15500*j + 15000 = 0. Calculate j.
-3, -1, 10
Factor z**3 - 3*z**2 + 3*z - 1.
(z - 1)**3
Find i such that -137*i**2/5 + 16*i/5 = 0.
0, 16/137
Factor 2*a**3/7 - 18*a**2 + 378*a - 2646.
2*(a - 21)**3/7
Let 4*i**5 - 68*i**4 + 164*i**3 + 548*i**2 + 312*i = 0. What is i?
-1, 0, 6, 13
What is m in 3*m**5/4 + 9*m**4/4 - 75*m**3/4 + 75*m**2/4 + 18*m - 21 = 0?
-7, -1, 1, 2
Solve 4*z**4 + 69*z**3 + 337*z**2 + 336*z + 64 = 0.
-8, -1, -1/4
Let 2*i**2/3 - 26*i - 80/3 = 0. What is i?
-1, 40
Determine b so that 4*b**3 - 44*b**2 + 124*b - 84 = 0.
1, 3, 7
Determine a, given that 16*a**5 + 1116*a**4 - 280*a**3 = 0.
-70, 0, 1/4
Let 3*t**2 + 354*t + 1695 = 0. Calculate t.
-113, -5
Factor 2*k**4/5 + 1328*k**3/5 + 217776*k**2/5 - 887104*k/5 + 892448/5.
2*(k - 2)**2*(k + 334)**2/5
Suppose 4*g**2 + 420*g - 2200 = 0. What is g?
-110, 5
Factor -d**2 + 118*d - 565.
-(d - 113)*(d - 5)
Suppose 32*b**2/7 - 2*b/7 = 0. Calculate b.
0, 1/16
Factor -5*s**5 + 65*s**4 - 175*s**3 - 245*s**2.
-5*s**2*(s - 7)**2*(s + 1)
Factor 4*a**3 - 28*a**2 - 136*a + 160.
4*(a - 10)*(a - 1)*(a + 4)
Solve -s**3/5 + 58*s**2/5 - 113*s/5 + 56/5 = 0.
1, 56
Let -5*c**5 + 70*c**4 = 0. What is c?
0, 14
Find b, given that -3*b**3 - 15*b**2 - 18*b = 0.
-3, -2, 0
Factor -20*u**3 + 436*u**2 + 104*u - 352.
-4*(u - 22)*(u + 1)*(5*u - 4)
Suppose -z**5 - 312*z**4 - 24646*z**3 - 48360*z**2 - 24025*z = 0. What is z?
-155, -1, 0
Suppose -h**5 + 78*h**4 - 222*h**3 - 236*h**2 + 831*h - 450 = 0. Calculate h.
-2, 1, 3, 75
Let -5*o**2/4 - 180*o + 6885/4 = 0. What is o?
-153, 9
Determine y, given that y**3/4 - 5*y**2/4 - 3*y/2 = 0.
-1, 0, 6
Factor -4*y**4 + 4*y**3 + 32*y**2 - 48*y.
-4*y*(y - 2)**2*(y + 3)
Factor -64*z**2 + 518*z - 48.
-2*(z - 8)*(32*z - 3)
Factor -3*v**3 + 24*v**2 - 21*v.
-3*v*(v - 7)*(v - 1)
Solve i**2 - 53*i/3 - 140/3 = 0.
-7/3, 20
Factor 4*z**3/9 + 52*z**2/9 - 56*z/9.
4*z*(z - 1)*(z + 14)/9
Suppose -80*a**2/11 - 86*a/11 - 6/11 = 0. What is a?
-1, -3/40
Find j such that -3*j**2 + 2862*j/7 - 816/7 = 0.
2/7, 136
Factor -4*k**4 - 56*k**3 - 276*k**2 - 560*k - 400.
-4*(k + 2)**2*(k + 5)**2
Suppose -2*l**3 - 16*l**2 + 2*l + 16 = 0. What is l?
-8, -1, 1
Factor 5*l**4/3 + 50*l**3 - 625*l**2 + 5000*l/3.
5*l*(l - 5)**2*(l + 40)/3
Find x, given that 10*x**5/13 + 24*x**4/13 - 72*x**3/13 - 212*x**2/13 - 162*x/13 - 36/13 = 0.
-3, -1, -2/5, 3
Factor -2*j**3/3 + 14*j**2/3 - 28*j/3 + 16/3.
-2*(j - 4)*(j - 2)*(j - 1)/3
Factor -4*h**3 + 280*h**2 + 284*h.
-4*h*(h - 71)*(h + 1)
Factor j**2/5 - 6044*j/5 + 9132484/5.
(j - 3022)**2/5
Factor -2*q**3/13 - 70*q**2/13 + 148*q/13.
-2*q*(q - 2)*(q + 37)/13
Determine a so that -2*a**5/3 + 92*a**4 - 2884*a**3/3 + 3864*a**2 - 6894*a + 4572 = 0.
2, 3, 127
Solve -2*g**3 - 344*g**2 - 1678*g - 1336 = 0 for g.
-167, -4, -1
Let -c**4/2 - 59*c**3/2 - 311*c**2/2 + 371*c/2 = 0. Calculate c.
-53, -7, 0, 1
Let -2*j**4 - 17*j**3 - 18*j**2 + 23*j + 14 = 0. Calculate j.
-7, -2, -1/2, 1
Solve -y**2/6 + 2*y/3 = 0.
0, 4
Factor -g**5/4 + g**4/4 + g**3/4 - g**2/4.
-g**2*(g - 1)**2*(g + 1)/4
Factor k**4 + 10*k**3 - 156*k**2 + 310*k + 475.
(k - 5)**2*(k + 1)*(k + 19)
Factor 3*o**2/4 + 1593*o/2 + 845883/4.
3*(o + 531)**2/4
What is f in 2*f**2 + 1604*f + 321602 = 0?
-401
Factor 2*y**2 + 192*y - 392.
2*(y - 2)*(y + 98)
Determine u, given that 4*u**5 - 16*u**4 + 16*u**3 + 8*u**2 - 20*u + 8 = 0.
-1, 1, 2
Determine d so that 2*d**2/11 + 102*d/11 - 40 = 0.
-55, 4
Find d, given that -d**4/4 - d**3/4 + 5*d**2/4 - 3*d/4 = 0.
-3, 0, 1
Factor 9*d**2/4 - 493*d/4 - 55/2.
(d - 55)*(9*d + 2)/4
Factor 4*u**4 + 24*u**3 + 20*u**2 - 48*u.
4*u*(u - 1)*(u + 3)*(u + 4)
Factor -2*l**2 + 26*l - 44.
-2*(l - 11)*(l - 2)
Let -p**2 + 5*p + 24 = 0. What is p?
-3, 8
Find f, given that 2*f**5 - 80*f**4 + 300*f**3 - 440*f**2 + 290*f - 72 = 0.
1, 36
What is h in 3*h**4/5 - 63*h**3/5 + 432*h**2/5 - 972*h/5 = 0?
0, 6, 9
Find c such that -7*c**2/6 + 1395*c + 1196/3 = 0.
-2/7, 1196
Factor -5*g**4 - 55*g**3 - 130*g**2 - 80*g.
-5*g*(g + 1)*(g + 2)*(g + 8)
Determine j, given that j**5/10 + 3*j**4/2 + 41*j**3/5 + 99*j**2/5 + 41*j/2 + 15/2 = 0.
-5, -3, -1
Solve -5*n**4 - 235*n**3 - 675*n**2 - 665*n - 220 = 0 for n.
-44, -1
Solve -o**2/8 + o = 0 for o.
0, 8
Suppose 2*o**5 - 2*o**4 - 18*o**3 + 18*o**2 = 0. What is o?
-3, 0, 1, 3
Let -36*d**3 - 744*d**2 + 1040*d - 352 = 0. What is d?
-22, 2/3
Factor 2*j**5/5 + 2*j**4 + 16*j**3/5 + 8*j**2/5.
2*j**2*(j + 1)*(j + 2)**2/5
Factor -i**3/2 + 1231*i**2/2 - 379455*i/2 + 378225/2.
-(i - 615)**2*(i - 1)/2
Find f, given that 27*f**5/7 + 747*f**4/7 - 276*f**3/7 - 660*f**2/7 + 48*f = 0.
-28, -1, 0, 2/3
Factor 4*l**4 + 100*l**3 - 444*l**2 + 572*l - 232.
4*(l - 2)*(l - 1)**2*(l + 29)
Find p, given that -p**3 - 57*p**2 - 110*p = 0.
-55, -2, 0
Factor 2*r**2 - 122*r + 120.
2*(r - 60)*(r - 1)
Determine h, given that h**5/5 - 7*h**4/5 + 16*h**3/5 - 8*h**2/5 - 16*h/5 + 16/5 = 0.
-1, 2
Find a such that 4*a**4 + 52*a**3 + 216*a**2 + 368*a + 224 = 0.
-7, -2
Let -2*h**3/7 - 40*h**2/7 - 74*h/7 - 36/7 = 0. Calculate h.
-18, -1
Factor -36*o**3 - 1128*o**2 - 9856*o - 15488.
-4*(o + 2)*(3*o + 44)**2
Solve -3*w**3 + 450*w**2 - 16416*w - 34656 = 0.
-2, 76
Factor -7*m**3/10 + 282*m**2/5 - 1224*m/5 + 608/5.
-(m - 76)*(m - 4)*(7*m - 4)/10
Solve -3*p**3/7 - 69*p**2/7 + 255*p/7 + 9537/7 = 0 for p.
-17, 11
Find l, given that -2*l**2/3 - 92*l/3 + 98 = 0.
-49, 3
Factor -3*r**4 + 156*r**3 - 729*r**2 + 1140*r - 564.
-3*(r - 47)*(r - 2)**2*(r - 1)
Suppose -2*l**3/19 + 56*l**2/19 + 408*l/19 = 0. Calculate l.
-6, 0, 34
Determine a so that 4*a**2/3 - 7*a/3 - 2/3 = 0.
-1/4, 2
Suppose 196*v**4 - 952*v**3 + 708*v**2 - 144*v = 0. Calculate v.
0, 3/7, 4
Suppose 4*l**4 - 52*l**3 + 168*l**2 + 128*l - 896 = 0. What is l?
-2, 4, 7
Solve -2*g**5 + 5*g**4 + 16*g**3 - 13*g**2 - 14*g + 8 = 0.
-2, -1, 1/2, 1, 4
Find a such that 3*a**3/8 + 1347*a**2/8 + 18645*a - 114921/2 = 0.
-226, 3
Determine z, given that 5*z**3 + 40*z**2 + 55*z - 100 = 0.
-5, -4, 1
Solve -2*q**2/7 - 2*q - 24/7 = 0 for q.
-4, -3
Factor 2*s**4 + 138*s**3 + 2306*s**2 - 2730*s - 4900.
2*(s - 2)*(s + 1)*(s + 35)**2
Solve 5*w**2 - 9300*w + 4324500 = 0.
930
Factor 20*m**3 + 105*m**2 + 25*m.
5*m*(m + 5)*(4*m + 1)
Let 4*l**3/5 - 7848*l**2/5 - 7851*l/5 - 1963/5 = 0. Calculate l.
-1/2, 1963
Factor -18*d**5 + 484*d**4 - 2968*d**3 - 3920*d**2.
-2*d**2*(d - 14)**2*(9*d + 10)
Determine z so that -z**5/9 - 20*z**4/9 - 145*z**3/9 - 50*z**2 - 60*z - 24 = 0.
-6, -1
Find a such that a**5 + 241*a**4 + 13906*a**3 - 73926*a**2 + 105165*a - 45387 = 0.
-123, 1, 3
Let -26*c**3 - 100*c**2 + 146*c - 20 = 0. What is c?
-5, 2/13, 1
Find g, given that -5*g**3/9 - 17*g**2/9 + 14*g/9 + 8/9 = 0.
-4, -2/5, 1
Factor 28*q**4 - 328*q**3 + 1164*q**2 - 1152*q - 432.
4*(q - 6)*(q - 3)**2*(7*q + 2)
Factor 22*q**3/5 - 139*q**2/5 + 8*q + 12/5.
(q - 6)*(2*q - 1)*(11*q + 2)/5
What is y in 15*y**3 - 313*y**2 + 258*y + 40 = 0?
-2/15, 1, 20
Factor -156025*r**2/6 + 790*r/3 - 2/3.
-(395*r - 2)**2/6
Factor -5*f**3/4 - 150*f**2 - 585*f - 580.
-5*(f + 2)**2*(f + 116)/4
Factor 2*i**5 - 2*i**4 - 10*i**3 + 2*i**2 + 16*i + 8.
2*(i - 2)**2*(i + 1)**3
Suppose 3*w**3/4 - 36*w**2 = 0. What is w?
0, 48
What is i in 3*i**4 - 24*i**3 - 222*i**2 + 1080*i + 6075 = 0?
-5, 9
Factor 2*z**4/11 - 3464*z**3/11 + 2249868*z**2/11 - 649461896*z/11 + 70304250242/11.
2*(z - 433)**4/11
Factor x**3/4 - 4*x**2 + 5*x + 100.
(x - 10)**2*(x + 4)/4
What is k in 1378*k**2/21 + 4*k/21 = 0?
-2/689, 0
Find f such that -16*f**4 + 60*f**3 + 160*f**2 - 540*f - 144 = 0.
-3, -1/4, 3, 4
Factor n**4/3 - 2*n**3 - 8*n**2/3 + 2*n + 7/3.
(n - 7)*(n - 1)*(n + 1)**2/3
Determine c so that 7*c**5/2 - 505*c**4/2 + 4572*c**3 - 648*c**2 = 0.
0, 1/7, 36
Suppose -3*k**4 + 177*k**3 - 2061*k**2 + 7911*k - 9720 = 0. Calculate k.
3, 8, 45
Let -2*g**4/3 + 50*g**3/3 - 126*g**2 + 814*g/3 - 484/3 = 0. Calculate g.
1, 2, 11
Factor 3*i**5/2 + 51*i**4/2 - 189*i**3 + 402*i**2 - 276*i.
3*i*(i - 2)**3*(i + 23)/2
Let 44*h**4/3 + 1583*h**3 + 127978*h**2/3 