ctor 4*k**2/3 - 8*k - 748/3.
4*(k - 17)*(k + 11)/3
Factor -h**4/4 + h**3 + 13*h**2/4 - 10*h - 12.
-(h - 4)**2*(h + 1)*(h + 3)/4
Determine f so that -2*f**4/17 + 156*f**3/17 - 3602*f**2/17 + 21840*f/17 - 39200/17 = 0.
4, 35
Factor 9*q**3 + 186*q**2 + 819*q - 294.
3*(q + 7)*(q + 14)*(3*q - 1)
Solve 2*a**4 - 48*a**2 + 128*a - 96 = 0.
-6, 2
Suppose -z**4 - 22*z**3 + 1540*z**2 + 3142*z + 1581 = 0. What is z?
-51, -1, 31
Factor k**4/2 + k**3/2 - 13*k**2/2 - 25*k/2 - 6.
(k - 4)*(k + 1)**2*(k + 3)/2
Factor 4*n**4 + 160*n**3 + 352*n**2 - 24960*n + 97344.
4*(n - 6)**2*(n + 26)**2
Factor 5*j**2 + 7140*j + 2548980.
5*(j + 714)**2
Let -26*x**3/5 - 8*x**2 = 0. What is x?
-20/13, 0
Determine v so that -27*v**5/4 - 9*v**4 + 15*v**3/4 + 9*v**2 + 3*v = 0.
-1, -2/3, 0, 1
Suppose -4*a**5/7 - 2176*a**4/7 - 298105*a**3/7 - 590239*a**2/7 - 367747*a/7 - 73441/7 = 0. What is a?
-271, -1, -1/2
Factor -5*t**3 + 15*t**2 - 20.
-5*(t - 2)**2*(t + 1)
Factor 5*x**5/3 - 5*x**4 - 15*x**3 - 25*x**2/3.
5*x**2*(x - 5)*(x + 1)**2/3
Factor g**5/4 + 11*g**4/4 - 45*g**3/2 + 49*g**2 - 34*g.
g*(g - 2)**3*(g + 17)/4
Find o, given that -5*o**4 - 105*o**3 + 230*o**2 = 0.
-23, 0, 2
Let u**4/6 + 17*u**3/6 + 28*u**2/3 + 26*u/3 = 0. Calculate u.
-13, -2, 0
Find u, given that 2*u**3/5 + 338*u**2/5 + 134*u + 334/5 = 0.
-167, -1
Factor -2*w**2 - 70*w - 68.
-2*(w + 1)*(w + 34)
Suppose -b**2/2 + 21*b - 117/2 = 0. What is b?
3, 39
Factor p**5 + 14*p**4 + 73*p**3 + 172*p**2 + 176*p + 64.
(p + 1)**2*(p + 4)**3
Solve 20*c**5 - 145*c**4 + 155*c**3 - 30*c**2 = 0 for c.
0, 1/4, 1, 6
Factor -5*n**2 + 115*n - 210.
-5*(n - 21)*(n - 2)
Solve -p**5/3 + 6*p**4 - 34*p**3/3 - 56*p**2 + 35*p/3 + 50 = 0 for p.
-2, -1, 1, 5, 15
Factor -4*r**4 - 8*r**3 + 28*r**2 - 16*r.
-4*r*(r - 1)**2*(r + 4)
Suppose -n**4/3 + 40*n**3/3 + 15*n**2 - 160*n/3 - 164/3 = 0. What is n?
-2, -1, 2, 41
Factor 2*r**5 - 24*r**4 + 42*r**3 - 20*r**2.
2*r**2*(r - 10)*(r - 1)**2
Suppose 2*b**2/3 - 70*b + 4828/3 = 0. What is b?
34, 71
Factor -4*m**3 + 60*m**2 - 192*m - 256.
-4*(m - 8)**2*(m + 1)
Factor s**5/4 - s**4/4 - s**3/2.
s**3*(s - 2)*(s + 1)/4
Let -c**4 + 34*c**3 - 96*c**2 + 94*c - 31 = 0. What is c?
1, 31
Factor -4*f**3 + 12*f - 8.
-4*(f - 1)**2*(f + 2)
Solve -d**5/6 - d**4/3 + d**3/2 + 4*d**2/3 + 2*d/3 = 0 for d.
-2, -1, 0, 2
Factor 5*g**3 - 10*g**2 + 5*g.
5*g*(g - 1)**2
Factor 2*x**3 - 6*x**2 + 6*x - 2.
2*(x - 1)**3
Factor -2*t**4 - 28*t**3 + 216*t**2 - 464*t + 320.
-2*(t - 2)**3*(t + 20)
Factor x**2/2 - 66*x + 2835/2.
(x - 105)*(x - 27)/2
Solve -c**4/3 - 2*c**3/3 + c**2 + 8*c/3 + 4/3 = 0.
-2, -1, 2
Factor 15*l**3 - 198*l**2 + 39*l.
3*l*(l - 13)*(5*l - 1)
Factor -v**5/4 - 11*v**4/4 - 12*v**3 - 26*v**2 - 28*v - 12.
-(v + 2)**4*(v + 3)/4
Find w, given that -2*w**3 - 226*w**2 - 444*w = 0.
-111, -2, 0
Factor 3*i**4 - 2628*i**3 + 564924*i**2 + 4646304*i + 9377472.
3*(i - 442)**2*(i + 4)**2
Factor -5*y**2 + 10*y + 175.
-5*(y - 7)*(y + 5)
Suppose -8*j**4 + 492*j**3 - 244*j**2 = 0. What is j?
0, 1/2, 61
Suppose 3*t**4 + 69*t**3 + 342*t**2 + 636*t + 408 = 0. What is t?
-17, -2
Solve -r**5 + 266*r**4 - 18213*r**3 + 69692*r**2 - 68644*r = 0 for r.
0, 2, 131
Factor -3*r**2/5 + 66*r/5 - 171/5.
-3*(r - 19)*(r - 3)/5
Determine d, given that 2*d**3/19 - 80*d**2/19 + 46*d - 76 = 0.
2, 19
Let 196*j**3/9 + 70*j**2/9 + 4*j/9 = 0. Calculate j.
-2/7, -1/14, 0
Suppose w**2 + 50*w + 369 = 0. What is w?
-41, -9
Find b such that -2*b**2/5 - 14*b/5 + 36/5 = 0.
-9, 2
Let d**4/2 - 19*d**3 + 18*d**2 + 3475*d + 6875/2 = 0. What is d?
-11, -1, 25
What is u in -u**5/5 + u**4/5 + 21*u**3/5 + 47*u**2/5 + 8*u + 12/5 = 0?
-2, -1, 6
Solve -x**4/2 + 195*x**3/2 + 393*x**2/2 + 197*x/2 = 0.
-1, 0, 197
Factor -2*j**5 - 16*j**4 - 14*j**3.
-2*j**3*(j + 1)*(j + 7)
Factor -2*z**3/9 - 94*z**2/9 - 88*z/9 + 184/9.
-2*(z - 1)*(z + 2)*(z + 46)/9
Find v, given that 13448*v**2/7 + 984*v/7 + 18/7 = 0.
-3/82
Determine s so that 2*s**2/7 - 60*s + 3150 = 0.
105
Factor l**4 - 10*l**3 + 23*l**2 - 14*l.
l*(l - 7)*(l - 2)*(l - 1)
Factor 3*s**4/2 - 9*s**3/2 + 3*s**2/2 + 9*s/2 - 3.
3*(s - 2)*(s - 1)**2*(s + 1)/2
Factor w**2 - 44*w - 45.
(w - 45)*(w + 1)
Solve -5*b**4/4 + 7*b**3/4 + 23*b**2/4 + 5*b/4 - 3/2 = 0.
-1, 2/5, 3
Solve -3*f**2/2 + 198*f - 393/2 = 0.
1, 131
Factor -2*j**2 + 18*j - 28.
-2*(j - 7)*(j - 2)
Suppose 5*i**3 - 355*i**2 + 5735*i + 20535 = 0. What is i?
-3, 37
Suppose -8*n**5 - 50*n**4 - 52*n**3 + 182*n**2 + 336*n + 72 = 0. Calculate n.
-3, -2, -1/4, 2
Factor h**3/2 + 1005*h**2/2 + 336675*h/2 + 37595375/2.
(h + 335)**3/2
Factor -5*h**3 + 7860*h**2 - 15705*h + 7850.
-5*(h - 1570)*(h - 1)**2
Solve 54*j**4/5 - 132*j**3/5 - 114*j**2/5 + 72*j/5 = 0 for j.
-1, 0, 4/9, 3
Factor -88*c**3 + 4*c**2 + 352*c - 16.
-4*(c - 2)*(c + 2)*(22*c - 1)
Factor -3*u**3 - 54*u**2.
-3*u**2*(u + 18)
Find p such that 22*p**5/5 + 40*p**4 - 266*p**3/5 - 604*p**2 + 7112*p/5 - 784 = 0.
-7, 10/11, 2
Determine b so that 2*b**2/3 + 20*b/3 + 16 = 0.
-6, -4
Solve 2*w**4/9 + 10*w**3/9 - 404*w**2/9 - 832*w/9 = 0.
-16, -2, 0, 13
What is a in 5*a**4 + 135*a**3 + 125*a**2 - 135*a - 130 = 0?
-26, -1, 1
Factor -m**3/5 + 283*m**2/5 + 578*m/5 - 456.
-(m - 285)*(m - 2)*(m + 4)/5
Find s such that 2*s**2/9 + 220*s/9 + 350/3 = 0.
-105, -5
Suppose 4*r**3 - 156*r**2 - 1860*r - 4900 = 0. What is r?
-5, 49
Factor 4*z**3/5 + 44*z**2/5 + 136*z/5 + 96/5.
4*(z + 1)*(z + 4)*(z + 6)/5
Factor i**4/6 - 18*i**3 + 486*i**2.
i**2*(i - 54)**2/6
Factor 2*j**3/7 + 12*j**2/7 - 72*j/7 + 80/7.
2*(j - 2)**2*(j + 10)/7
Factor -20*j**4 + 145*j**3 - 210*j**2.
-5*j**2*(j - 2)*(4*j - 21)
Find n, given that -8*n**5 - 36*n**4 + 128*n**3 - 88*n**2 - 24*n + 28 = 0.
-7, -1/2, 1
Find j, given that 5*j**4/4 + 45*j**3/2 + 75*j**2 + 70*j = 0.
-14, -2, 0
Find h such that -2*h**3 - 16*h**2 + 38*h - 20 = 0.
-10, 1
Determine n, given that 4*n**5/5 + 8*n**4 + 116*n**3/5 + 32*n**2/5 - 192*n/5 = 0.
-4, -3, 0, 1
Suppose 4*g**4/3 + 19*g**3/3 + g**2 - 34*g/3 + 8/3 = 0. What is g?
-4, -2, 1/4, 1
Factor -3*k**3/2 + 27*k**2/2 + 96*k + 126.
-3*(k - 14)*(k + 2)*(k + 3)/2
Let -4*x**3 - 236*x**2 - 232*x = 0. Calculate x.
-58, -1, 0
Determine r so that -5*r**3 + 300*r**2 - 5985*r + 39710 = 0.
19, 22
What is a in -2*a**4/7 + 10*a**3/7 + 30*a**2/7 - 10*a/7 - 4 = 0?
-2, -1, 1, 7
Factor 4*l**4 - 192*l**2 - 512*l.
4*l*(l - 8)*(l + 4)**2
Find u such that -u**2/8 + 337*u/8 - 501/4 = 0.
3, 334
Factor 2*p**4 - 550*p**3 + 50778*p**2 - 1606514*p + 3014284.
2*(p - 91)**3*(p - 2)
Factor c**3/2 - c**2/2 - 2*c + 2.
(c - 2)*(c - 1)*(c + 2)/2
Solve -2*s**3/7 + 10*s**2/7 + 2*s/7 - 10/7 = 0 for s.
-1, 1, 5
Find x, given that 6*x**3/13 - 22*x**2/13 + 24*x/13 - 8/13 = 0.
2/3, 1, 2
Suppose 18*w**2/13 + 3128*w/13 - 696/13 = 0. What is w?
-174, 2/9
Factor 4*i**3 - 16*i**2/7.
4*i**2*(7*i - 4)/7
Determine l so that -l**5/3 - 4*l**4/3 - 2*l**3/3 + 4*l**2/3 + l = 0.
-3, -1, 0, 1
Solve 2*y**4/5 - 46*y**3/5 + 42*y**2/5 + 46*y/5 - 44/5 = 0.
-1, 1, 22
Factor -2*m**3/3 - 124*m**2/3 + 2*m/3 + 124/3.
-2*(m - 1)*(m + 1)*(m + 62)/3
Find v, given that -v**4/4 + 257*v**3/4 + v**2/4 - 257*v/4 = 0.
-1, 0, 1, 257
Find f such that 26*f**5/7 - 30*f**4/7 + 4*f**3/7 = 0.
0, 2/13, 1
Suppose -19*w**2 + 192*w - 20 = 0. Calculate w.
2/19, 10
Let -4*l**2/7 - 124*l + 2640/7 = 0. Calculate l.
-220, 3
Let 3*x**3/7 - 12*x**2/7 + 12*x/7 = 0. Calculate x.
0, 2
Suppose -d**4/2 + d**3 - d**2/2 = 0. What is d?
0, 1
Let a**4/4 - 409*a**3/4 = 0. Calculate a.
0, 409
Solve -2*r**4/9 + 10*r**3/9 + 74*r**2/9 - 10*r/9 - 8 = 0 for r.
-4, -1, 1, 9
Factor 4*l**4 + 72*l**3 + 452*l**2 + 1104*l + 720.
4*(l + 1)*(l + 5)*(l + 6)**2
Find h such that -4*h**2 - 12*h = 0.
-3, 0
Suppose -f**2 - 860*f - 184900 = 0. Calculate f.
-430
Suppose -4*p**3/9 - 124*p**2/9 - 148*p/3 - 36 = 0. What is p?
-27, -3, -1
Let o**3/3 + 3*o**2 - 12*o = 0. What is o?
-12, 0, 3
Factor 16*w**3/3 - 33*w**2/2 + 73*w/6 - 1.
(w - 2)*(w - 1)*(32*w - 3)/6
Factor -4*u**2 - 2528*u - 399424.
-4*(u + 316)**2
Factor -3*t**2/4 + 3993*t/2 - 5314683/4.
-3*(t - 1331)**2/4
What is j in -5*j**3 + 45*j**2 - 70*j = 0?
0, 2, 7
Find t such that -14*t**5/3 + 2*t**4 + 22*t**3/3 - 2*t**2 - 8*t/3 = 0.
-1, -4/7, 0, 1
Let 4*c**3 + 336*c**2 + 8208*c + 46208 = 0. Calculate c.
-38, -8
Factor -j**4/3 - 5*j**3 + 17*j**2/3 + 5*j - 16/3.
-(j - 1)**2*(j + 1)*(j + 16)/3
Factor -f**3 + 3*f**2 + 16*f + 12.
-(f - 6)*(f +