2*l + 291/7.
3*(l + 1)*(l + 97)/7
Factor c**2 + 58*c + 792.
(c + 22)*(c + 36)
Solve -4*j**3 + 296*j**2 - 6468*j + 34848 = 0.
8, 33
Let 4*t**3 - 124*t**2 + 896*t + 1024 = 0. Calculate t.
-1, 16
Let 2*z**4/3 + 30*z**3 + 76*z**2/3 - 176*z = 0. What is z?
-44, -3, 0, 2
Solve 4*w**4 - 8*w**3 - 16*w**2 + 8*w + 12 = 0 for w.
-1, 1, 3
Factor -2*g**2 + 428*g - 848.
-2*(g - 212)*(g - 2)
Let -8*i**3 + 862*i**2 + 1102*i - 1308 = 0. Calculate i.
-2, 3/4, 109
Factor w**3 - 23*w**2 + 111*w - 153.
(w - 17)*(w - 3)**2
Factor 4*n**2 - 652*n + 6120.
4*(n - 153)*(n - 10)
Factor g**3/4 + 23*g**2/2 + 45*g/4.
g*(g + 1)*(g + 45)/4
Find c such that 7*c**4/3 + 5*c**3/3 - 3*c**2 - 5*c/3 + 2/3 = 0.
-1, 2/7, 1
Factor 4*l**2 - 540*l + 536.
4*(l - 134)*(l - 1)
Factor i**3 + 4*i**2 - 32*i.
i*(i - 4)*(i + 8)
Determine r, given that 2*r**2 - 56*r + 392 = 0.
14
Suppose -125*d**4 - 3850*d**3 - 6645*d**2 - 3500*d - 580 = 0. What is d?
-29, -1, -2/5
Suppose 119*m**2/4 - 121*m/4 + 1/2 = 0. What is m?
2/119, 1
Solve 3*o**5/2 + 15*o**4 - 18*o**3 - 15*o**2 + 33*o/2 = 0.
-11, -1, 0, 1
Determine b, given that -2*b**5 + 28*b**4 + 34*b**3 - 60*b**2 = 0.
-2, 0, 1, 15
Factor -2*d**4 - 54*d**3 - 148*d**2 - 96*d.
-2*d*(d + 1)*(d + 2)*(d + 24)
Factor -12*c**3/5 + 56*c**2 - 1679*c/5 + 529/5.
-(2*c - 23)**2*(3*c - 1)/5
Solve 2*k**3/15 - 16*k**2/15 - 56*k/5 = 0 for k.
-6, 0, 14
Factor 2*a**2/3 - 16*a/3 - 40/3.
2*(a - 10)*(a + 2)/3
Solve 3*z**2/4 + 354*z + 41772 = 0 for z.
-236
Solve -w**2/3 + 4*w/3 + 4 = 0 for w.
-2, 6
Factor 3*y**2/2 + 75*y/2 + 69.
3*(y + 2)*(y + 23)/2
Determine h so that -5*h**3 - 35*h**2 + 140*h - 100 = 0.
-10, 1, 2
Factor -q**3 - 136*q**2 - 4757*q - 8978.
-(q + 2)*(q + 67)**2
Suppose -x**5/6 - 9*x**4 + 268*x**3 + 51224*x**2/3 - 101080*x - 8230800 = 0. What is x?
-38, 30
Factor 4*s**2 + 920*s + 52900.
4*(s + 115)**2
Factor k**4 + 18*k**3 - 23*k**2 - 936*k + 2704.
(k - 4)**2*(k + 13)**2
Factor 2*t**2 + 36*t - 1190.
2*(t - 17)*(t + 35)
Suppose -z**3/4 - 21*z**2/2 - 345*z/4 - 200 = 0. Calculate z.
-32, -5
Factor 2*j**3/5 - 26*j**2 - 266*j/5 - 134/5.
2*(j - 67)*(j + 1)**2/5
Let j**2/6 + 29*j/6 = 0. What is j?
-29, 0
Find j such that j**3/5 - 15*j**2 + 1827*j/5 - 14297/5 = 0.
17, 29
Factor -2*r**2 + 576*r - 2272.
-2*(r - 284)*(r - 4)
Find v such that -3*v**4/4 + 393*v**3/2 - 53787*v**2/4 + 75456*v - 110592 = 0.
3, 128
Factor -j**5 + 25*j**4 - 23*j**3 - 25*j**2 + 24*j.
-j*(j - 24)*(j - 1)**2*(j + 1)
Determine j, given that -64*j**4/5 + 240*j**3 + 303*j**2/5 + 19*j/5 = 0.
-1/8, 0, 19
Solve 638*k**2/13 + 5108*k/13 + 32/13 = 0 for k.
-8, -2/319
Determine r so that -2*r**2 - 538*r + 5004 = 0.
-278, 9
Factor -5*y**2 + 8*y - 3.
-(y - 1)*(5*y - 3)
Factor f**3/4 + 81*f**2/4 + 1599*f/4 - 1681/4.
(f - 1)*(f + 41)**2/4
Let -16*p**3/3 + 356*p**2/3 + 508*p + 312 = 0. What is p?
-3, -3/4, 26
Factor 4*a**4/7 + 128*a**3/7 + 1320*a**2/7 + 3872*a/7 - 5324/7.
4*(a - 1)*(a + 11)**3/7
Let 3*j**4/7 + 132*j**3/7 - 276*j**2/7 = 0. What is j?
-46, 0, 2
Factor 39*f**3/2 + 231*f**2 + 981*f/2 - 81.
3*(f + 3)*(f + 9)*(13*f - 2)/2
Factor 3*h**2/5 - 1998*h/5 + 332667/5.
3*(h - 333)**2/5
Factor -2*s**4 + 112*s**3 - 526*s**2 + 824*s - 408.
-2*(s - 51)*(s - 2)**2*(s - 1)
Let 6*v**2 + 205*v + 34 = 0. What is v?
-34, -1/6
Find r, given that -2*r**4/7 + 2992*r**3/7 - 213852*r**2 + 36133888*r - 175376390 = 0.
5, 497
Find j, given that j**3 - 3*j**2/5 - 2*j/5 = 0.
-2/5, 0, 1
Factor -j**3/8 - j**2/8 + j + 3/2.
-(j - 3)*(j + 2)**2/8
Solve -162*v**3/5 + 1638*v**2/5 + 1552*v/5 + 352/5 = 0.
-4/9, 11
What is r in r**3/5 + 11*r**2/5 - 5*r + 13/5 = 0?
-13, 1
Factor -4*b**2 + 196*b.
-4*b*(b - 49)
What is u in -3*u**3 + 21*u + 18 = 0?
-2, -1, 3
What is b in -39*b**3 + 51*b**2 - 12*b = 0?
0, 4/13, 1
Factor 4*a**3 - 108*a**2 - 228*a - 116.
4*(a - 29)*(a + 1)**2
Factor 3*w**3/7 + 144*w**2/7 - 3*w/7 - 144/7.
3*(w - 1)*(w + 1)*(w + 48)/7
Solve -4*h**2 - 80*h + 84 = 0.
-21, 1
Factor m**3/3 - 20*m**2/3 + 17*m/3 + 38/3.
(m - 19)*(m - 2)*(m + 1)/3
Factor -32*k**4 + 6*k**3/7.
-2*k**3*(112*k - 3)/7
Solve -298252900*i**2 - 138160*i - 16 = 0.
-2/8635
Suppose -3*z**3/2 - 19917*z**2/2 - 44076321*z/2 - 32513632791/2 = 0. What is z?
-2213
What is x in -14*x**3/13 + 10*x**2/13 + 88*x/13 + 24/13 = 0?
-2, -2/7, 3
Factor 2*n**4/19 + 50*n**3/19.
2*n**3*(n + 25)/19
Determine l so that 3*l**2/4 + 18*l + 285/4 = 0.
-19, -5
What is f in -5*f**5 + 5*f**4 + 10*f**3 - 10*f**2 - 5*f + 5 = 0?
-1, 1
Solve -5*y**4 - 3765*y**3 = 0.
-753, 0
Factor -2*d**2 - 24*d + 56.
-2*(d - 2)*(d + 14)
What is p in p**3/11 + 2*p**2/11 - 29*p/11 - 30/11 = 0?
-6, -1, 5
What is j in -4*j**5/9 + 26*j**4/9 + 2*j**3/3 - 116*j**2/9 + 40*j/9 + 16/3 = 0?
-2, -1/2, 1, 2, 6
Suppose 9*j**2 + 6132*j + 2043 = 0. Calculate j.
-681, -1/3
Solve -2*y**3 - 728*y**2 - 1450*y - 724 = 0 for y.
-362, -1
Find f such that -2*f**5 + 862*f**4 - 93306*f**3 + 90730*f**2 + 184900*f = 0.
-1, 0, 2, 215
Determine o so that 2*o**3/5 + 22*o**2/5 - 186*o/5 + 306/5 = 0.
-17, 3
Determine a so that -a**5 - 11*a**4/3 - 5*a**3/3 + 5*a**2 + 8*a/3 - 4/3 = 0.
-2, -1, 1/3, 1
Solve 3*i**2 + 243*i - 756 = 0 for i.
-84, 3
What is q in -q**5 - 8*q**4 - 13*q**3 - 6*q**2 = 0?
-6, -1, 0
Factor g**2/6 - 49*g/6 + 8.
(g - 48)*(g - 1)/6
Find h such that 4*h**3 - 16*h**2 + 16*h = 0.
0, 2
Factor q**4 + 3*q**3 - 23*q**2 + 33*q - 14.
(q - 2)*(q - 1)**2*(q + 7)
Let -g**4/2 + 57*g**3/2 + 807*g**2/2 + 1439*g/2 + 345 = 0. What is g?
-10, -1, 69
Factor -b**3 - 5*b**2 + 74*b - 120.
-(b - 5)*(b - 2)*(b + 12)
Factor 4*i**3 + 4380*i**2 + 1209900*i + 5940500.
4*(i + 5)*(i + 545)**2
Factor u**5 + 78*u**4 - 80*u**3 - 78*u**2 + 79*u.
u*(u - 1)**2*(u + 1)*(u + 79)
Let -2187*l**5 + 7290*l**4 + 16443*l**3 + 8562*l**2 + 1716*l + 120 = 0. What is l?
-1, -2/9, 5
Find s, given that -5*s**3 - 100*s**2 - 185*s - 90 = 0.
-18, -1
Suppose 2*x**5 - 26*x**4 + 18*x**3 + 82*x**2 - 124*x + 48 = 0. What is x?
-2, 1, 12
Factor -v**3/8 + 505*v**2/4 - 1009*v/8.
-v*(v - 1009)*(v - 1)/8
Let 5*l**3 + 1680*l**2 + 141120*l = 0. Calculate l.
-168, 0
Determine i, given that -2*i**3/7 - 186*i**2/7 - 180*i/7 + 368/7 = 0.
-92, -2, 1
Factor 10*u**5 - 14*u**4 + 4*u**3.
2*u**3*(u - 1)*(5*u - 2)
Factor -3*x**4 + 66*x**3 - 267*x**2 + 204*x.
-3*x*(x - 17)*(x - 4)*(x - 1)
Find q such that 2*q**5/3 - 8*q**4/9 - 22*q**3/9 + 32*q**2/9 - 8*q/9 = 0.
-2, 0, 1/3, 1, 2
Factor -x**4 - 4*x**3 - 3*x**2 + 4*x + 4.
-(x - 1)*(x + 1)*(x + 2)**2
Suppose 5*h**3/2 + 69125*h**2/2 + 238878715*h/2 - 238947845/2 = 0. Calculate h.
-6913, 1
Let -12*k**4/5 - 14*k**3/5 + 8*k**2/5 + 14*k/5 + 4/5 = 0. Calculate k.
-1, -2/3, -1/2, 1
Solve -4*r**5/13 - 2*r**4 + 2*r**3 + 70*r**2/13 - 94*r/13 + 28/13 = 0 for r.
-7, -2, 1/2, 1
Determine i so that 18*i**4/17 - 246*i**3/17 + 22*i**2 - 10*i + 24/17 = 0.
1/3, 1, 12
Find s, given that -3*s**4 + 18*s**3 + 3*s**2 - 18*s = 0.
-1, 0, 1, 6
Let -35*a**3 + 60*a**2 - 15*a - 10 = 0. Calculate a.
-2/7, 1
Factor -l**4 - 59*l**3 + 317*l**2 - 201*l - 576.
-(l - 3)**2*(l + 1)*(l + 64)
What is m in 3*m**4 - 55*m**3 + 10*m**2 + 140*m + 72 = 0?
-1, -2/3, 2, 18
Factor 2*n**2 + 8288*n + 8586368.
2*(n + 2072)**2
Determine y, given that -y**4/3 + 12136*y**3/3 - 18410312*y**2 + 111713773216*y/3 - 84734896984336/3 = 0.
3034
Factor -w**3 - 2*w**2 + w + 2.
-(w - 1)*(w + 1)*(w + 2)
Determine n so that -861888*n**4 + 1129888*n**3 + 1174804*n**2 + 25872*n + 144 = 0.
-2/3, -3/268, 2
Let -3*x**5/8 + x**4 + 17*x**3/8 - x**2/4 - x = 0. What is x?
-1, 0, 2/3, 4
Factor 2*l**3/9 + 4*l**2/3.
2*l**2*(l + 6)/9
Factor 2*r**3/13 - 1134*r**2/13 + 6750*r/13 - 10098/13.
2*(r - 561)*(r - 3)**2/13
Let -3*s**3/5 - 17214*s**2/5 - 17211*s/5 = 0. Calculate s.
-5737, -1, 0
Factor -s**4/3 - 40*s**3/3 - 175*s**2/3.
-s**2*(s + 5)*(s + 35)/3
Factor -3*b**4 + 51*b**2 - 108*b + 60.
-3*(b - 2)**2*(b - 1)*(b + 5)
Factor 121*m**2 - 499*m/5 + 12/5.
(5*m - 4)*(121*m - 3)/5
Factor r**2/9 - 8*r/3 + 7.
(r - 21)*(r - 3)/9
Find j, given that 30*j**5 + 212*j**4 + 494*j**3 + 392*j**2 + 24*j = 0.
-3, -2, -1/15, 0
Factor 2*k**4 + 12*k**3 - 50*k**2 + 36*k.
2*k*(k - 2)*(k - 1)*(k + 9)
Determine s, given that 3*s**2/5 + 663*s/5 + 132 = 0.
-220, -1
Determine c so that c**2/5 + 104*c + 519/5 = 0.
-519, -1
Factor -4*t**4 - 8144*t**3 - 4153432*t**2 - 8282448*t - 4137156.
-4*(t + 1)**2*(t + 1017)**2
Factor -2*l**2 + 44*l - 42.
-2*(l - 21)*(l - 1)
