06*x/11 - 306/11.
2*(x - 17)*(31*x + 3)**2/11
Factor 14*s**3/3 - 632*s**2 + 21216*s + 36992/3.
2*(s - 68)**2*(7*s + 4)/3
Find f, given that -2*f**4 - 28*f**3 - 34*f**2 + 160*f - 96 = 0.
-12, -4, 1
Find x such that -40*x**4 - 2020*x**3 + 3090*x**2 - 1555*x + 260 = 0.
-52, 1/2
Factor -2*r**2 + 30*r - 100.
-2*(r - 10)*(r - 5)
Factor -5*k**3 - 155*k**2 - 420*k.
-5*k*(k + 3)*(k + 28)
What is v in 2*v**2/3 + 34*v/3 + 44 = 0?
-11, -6
What is j in 15*j**5 - 10*j**4 - 270*j**3 + 180*j**2 + 1215*j - 810 = 0?
-3, 2/3, 3
Find n such that -2*n**4/9 - 1526*n**3/9 - 32596*n**2 - 869440*n/9 - 577600/9 = 0.
-380, -2, -1
Let 3*y**5 + 27*y**4 + 21*y**3 - 27*y**2 - 24*y = 0. What is y?
-8, -1, 0, 1
Determine d so that -2*d**2/15 + 476*d/15 - 736/3 = 0.
8, 230
Factor t**5 - 24*t**4 + 22*t**3 + 24*t**2 - 23*t.
t*(t - 23)*(t - 1)**2*(t + 1)
Factor -4*y**2/5 - 456*y/5 - 12996/5.
-4*(y + 57)**2/5
Factor -5*s**4 - 280*s**3 + 1860*s**2.
-5*s**2*(s - 6)*(s + 62)
Solve 5*l**5 + 10*l**4 - 45*l**3 - 10*l**2 + 40*l = 0.
-4, -1, 0, 1, 2
Factor s**3/8 + 7*s**2/8 + 7*s/4 + 1.
(s + 1)*(s + 2)*(s + 4)/8
Factor -3*u**3 - 123*u**2 + 132*u + 252.
-3*(u - 2)*(u + 1)*(u + 42)
Factor -2*d**3 + 38*d**2 - 148*d + 112.
-2*(d - 14)*(d - 4)*(d - 1)
Determine m so that m**4 - 26*m**3 + 49*m**2 - 24*m = 0.
0, 1, 24
What is w in 9*w**5/5 - 51*w**4 + 957*w**3/5 - 453*w**2/5 - 1242*w/5 + 432/5 = 0?
-1, 1/3, 2, 3, 24
Suppose j**4/2 + 5*j**3/2 = 0. What is j?
-5, 0
Factor -2*f**4/9 + 512*f**3/9 - 33776*f**2/9 + 14336*f - 14112.
-2*(f - 126)**2*(f - 2)**2/9
Solve 3*q**3/8 - 21*q**2/4 - 12*q = 0 for q.
-2, 0, 16
Factor t**4 + 18*t**3 - 72*t**2 - 194*t - 105.
(t - 5)*(t + 1)**2*(t + 21)
Factor -9*d**2/7 + 6068*d/7 - 1348/7.
-(d - 674)*(9*d - 2)/7
Let -2*k**5/5 + 36*k**4/5 + 164*k**3/5 + 256*k**2/5 + 174*k/5 + 44/5 = 0. What is k?
-1, 22
Suppose y**3/4 + y**2 - y/4 - 1 = 0. Calculate y.
-4, -1, 1
Determine h, given that 4*h**5 + 128*h**4 + 1200*h**3 + 3400*h**2 - 1204*h - 3528 = 0.
-18, -7, -1, 1
Find p such that 5*p**3 - 210*p**2 + 2655*p - 10010 = 0.
7, 13, 22
Factor -r**2/2 + r - 1/2.
-(r - 1)**2/2
Factor -4*s**2 + 132*s + 760.
-4*(s - 38)*(s + 5)
Factor -2*m**3/5 + 2*m**2 - 16*m/5 + 8/5.
-2*(m - 2)**2*(m - 1)/5
Factor 4*a**3 + 164*a**2 + 316*a + 156.
4*(a + 1)**2*(a + 39)
Factor 3*m**2 + 531*m - 534.
3*(m - 1)*(m + 178)
Solve -p**2/9 - 70*p/9 - 1225/9 = 0.
-35
Factor -5*t**5 - 55*t**4 - 95*t**3 - 45*t**2.
-5*t**2*(t + 1)**2*(t + 9)
Let 3*m**3 - 21*m**2 + 30*m = 0. Calculate m.
0, 2, 5
Factor 5*b**5 + 5*b**4 - 15*b**3 - 5*b**2 + 10*b.
5*b*(b - 1)**2*(b + 1)*(b + 2)
Factor 2*w**3 - 36*w**2 + 94*w - 60.
2*(w - 15)*(w - 2)*(w - 1)
Determine h, given that 2*h**4/9 - 52*h**3/3 + 4562*h**2/9 - 19760*h/3 + 288800/9 = 0.
19, 20
What is c in -2*c**3/15 + 22*c**2/15 + 8*c/15 - 88/15 = 0?
-2, 2, 11
Determine i, given that 4*i**4 + 1604*i**3 + 159996*i**2 - 161604*i = 0.
-201, 0, 1
Solve w**2/2 - 74*w - 149/2 = 0 for w.
-1, 149
Factor 20*d**4 + 52*d**3 + 44*d**2 + 12*d.
4*d*(d + 1)**2*(5*d + 3)
Solve u**4/2 + 181*u**3/2 - 368*u**2 + 370*u = 0 for u.
-185, 0, 2
Factor -2*d**3/3 + 22*d**2/3 - 38*d/3 + 6.
-2*(d - 9)*(d - 1)**2/3
Factor -4*j**2 + 16*j + 660.
-4*(j - 15)*(j + 11)
Suppose -54*z**3/13 - 1084*z**2/13 + 2296*z/13 + 176/13 = 0. Calculate z.
-22, -2/27, 2
Determine x, given that 3*x**3 - 456*x**2 + 2217*x - 1764 = 0.
1, 4, 147
Solve -k**5/2 + 10*k**4 - 35*k**3 + 50*k**2 - 65*k/2 + 8 = 0.
1, 16
Let l**5 - 7*l**4 + 15*l**3 - 9*l**2 = 0. Calculate l.
0, 1, 3
Let -52*r**4 + 244*r**3 + 1796*r**2 + 1932*r + 432 = 0. What is r?
-3, -1, -4/13, 9
Factor 4*r**2/5 + 96*r/5 - 20.
4*(r - 1)*(r + 25)/5
Determine u, given that 8*u**2 + 69*u - 279 = 0.
-93/8, 3
What is x in 45*x**5 - 170*x**4 - 355*x**3 + 380*x**2 + 100*x = 0?
-2, -2/9, 0, 1, 5
Factor -5*t**2/2 + 145*t/2 + 75.
-5*(t - 30)*(t + 1)/2
Factor -2*p**4/7 + 8*p**3/7 + 52*p**2/7 - 120*p/7 - 450/7.
-2*(p - 5)**2*(p + 3)**2/7
Factor 16*j**3 + 768*j**2 + 756*j + 188.
4*(j + 47)*(2*j + 1)**2
Solve 2*j**5/3 - 71*j**4/6 - 29*j**3 - 119*j**2/6 - 10*j/3 = 0.
-1, -1/4, 0, 20
What is v in -2*v**5 - 14*v**4 + 226*v**3 - 210*v**2 = 0?
-15, 0, 1, 7
Factor 4*f**2 - 136*f.
4*f*(f - 34)
Find q, given that -48*q**4/5 - 4584*q**3/5 - 108291*q**2/5 + 55008*q/5 - 6912/5 = 0.
-48, 1/4
Factor -q**2/4 - 41*q/4 - 39/2.
-(q + 2)*(q + 39)/4
Factor 2*s**2/15 + 12*s/5 - 16/3.
2*(s - 2)*(s + 20)/15
Find h such that -81*h**4 + 267*h**3/2 - 103*h**2/2 - h = 0.
-1/54, 0, 2/3, 1
Suppose 3*n**2 - 153*n - 318 = 0. What is n?
-2, 53
Factor 5*g**2 + 120*g + 640.
5*(g + 8)*(g + 16)
Solve -35*f**4 + 270*f**3 - 165*f**2 - 70*f = 0.
-2/7, 0, 1, 7
Factor 3*d**5/5 - 339*d**4/5 - 687*d**3/5 - 69*d**2.
3*d**2*(d - 115)*(d + 1)**2/5
Suppose 5*a**4 - 760*a**3 + 18320*a**2 + 802560*a + 5575680 = 0. What is a?
-12, 88
Factor q**2 - 272*q - 273.
(q - 273)*(q + 1)
Let -2*r**2/5 - 196*r/5 - 194/5 = 0. Calculate r.
-97, -1
Find b such that -3*b**5 - 279*b**4 + 3*b**3 + 279*b**2 = 0.
-93, -1, 0, 1
Factor 1156*b**3/5 + 1088*b**2 + 3408*b/5 + 576/5.
4*(b + 4)*(17*b + 6)**2/5
Determine a, given that -12*a**5 + 75*a**4 - 174*a**3 + 183*a**2 - 84*a + 12 = 0.
1/4, 1, 2
Factor -r**3 - 19*r**2 + 88*r - 92.
-(r - 2)**2*(r + 23)
Let -2*d**2 + 46*d - 204 = 0. What is d?
6, 17
Solve 5*n**4 + 55*n**3 - 125*n**2 + 65*n = 0 for n.
-13, 0, 1
Determine c so that -2*c**3/11 - 42*c**2/11 + 90*c/11 - 46/11 = 0.
-23, 1
Factor -3*h**3 - 3*h**2 + 48*h + 48.
-3*(h - 4)*(h + 1)*(h + 4)
Determine t, given that -70*t**5 + 275*t**4 - 215*t**3 - 260*t**2 + 300*t = 0.
-1, 0, 10/7, 3/2, 2
Suppose c**4 + 9*c**3 - 113*c**2 - 9*c + 112 = 0. Calculate c.
-16, -1, 1, 7
Factor -4*a**4 - 60*a**3 - 144*a**2.
-4*a**2*(a + 3)*(a + 12)
Solve 3*q**2/5 + 408*q/5 + 13872/5 = 0.
-68
Let -4*w**4 + 136*w**3 - 276*w**2 - 14960*w - 48400 = 0. Calculate w.
-5, 22
Suppose 27*z**4/5 + 18*z**3/5 + 3*z**2/5 = 0. What is z?
-1/3, 0
Suppose 3*j**3 - 171*j**2 + 168*j = 0. What is j?
0, 1, 56
Factor q**3/2 - 13*q**2/2 - 34*q.
q*(q - 17)*(q + 4)/2
Suppose 4*d**4 + 440*d**3 - 2300*d**2 = 0. What is d?
-115, 0, 5
Factor 2*n**4 - 2*n**3 - 4*n**2.
2*n**2*(n - 2)*(n + 1)
Factor 2*z**2 + 8*z - 24.
2*(z - 2)*(z + 6)
Factor 22*v**3/5 + 296*v**2/5 - 168*v/5.
2*v*(v + 14)*(11*v - 6)/5
Suppose 2*w**2/7 + 712*w/7 + 710/7 = 0. What is w?
-355, -1
Let 5*q**2/4 - 85*q/4 - 345/2 = 0. What is q?
-6, 23
What is s in -3*s**4/2 + 321*s**3 - 639*s**2/2 = 0?
0, 1, 213
Factor -5*n**4 - 30*n**3 + 15*n**2 + 100*n + 60.
-5*(n - 2)*(n + 1)**2*(n + 6)
Let -4*d**4 + 36*d**3 - 28*d**2 - 180*d - 112 = 0. Calculate d.
-1, 4, 7
Factor -4*k**2 + 17640*k - 19448100.
-4*(k - 2205)**2
Factor -5*x**2 + 140*x - 575.
-5*(x - 23)*(x - 5)
Solve -x**4 + 20*x**3 + 43*x**2 + 22*x = 0.
-1, 0, 22
Let 5*v**2 - 355*v + 3050 = 0. What is v?
10, 61
Solve -15*v**5 + 140*v**4 + 145*v**3 - 390*v**2 - 580*v - 200 = 0.
-1, -2/3, 2, 10
Solve -20*w**4 - 48*w**3 + 256*w**2 + 192*w - 704 = 0 for w.
-22/5, -2, 2
Factor 3*m**2/2 - 141*m/2 - 567.
3*(m - 54)*(m + 7)/2
Factor -3*g**2 + 28746*g - 68861043.
-3*(g - 4791)**2
Factor 162*u**4 - 396*u**3 - 334*u**2 + 200*u - 24.
2*(u - 3)*(u + 1)*(9*u - 2)**2
Suppose -3*y**2 + 45*y + 48 = 0. What is y?
-1, 16
Solve 15*t**5/8 + 3819*t**4/8 - 765*t**3/4 = 0 for t.
-255, 0, 2/5
Let -2*o**5 - 6*o**4 + 4*o**3 + 12*o**2 - 2*o - 6 = 0. Calculate o.
-3, -1, 1
Suppose -2*p**5/21 - 4*p**4/7 - 6*p**3/7 = 0. Calculate p.
-3, 0
Factor q**4 - 35*q**3 + 317*q**2 - 85*q - 1734.
(q - 17)**2*(q - 3)*(q + 2)
Solve -2*a**5/5 - 2*a**4/5 + 2*a**3 + 2*a**2 - 8*a/5 - 8/5 = 0.
-2, -1, 1, 2
Solve n**2/3 + 94*n/3 - 64 = 0 for n.
-96, 2
Factor -28*u**2 + 208*u - 2704/7.
-4*(7*u - 26)**2/7
Factor -4*z**3 + 48*z**2 - 140*z.
-4*z*(z - 7)*(z - 5)
Factor 2*b**3/5 + 153*b**2/5 - 3086*b/5 - 1581/5.
(b - 17)*(b + 93)*(2*b + 1)/5
Let r**5 - 3*r**4 - 3*r**3 + 11*r**2 - 6*r = 0. What is r?
-2, 0, 1, 3
Factor l**3 + 36*l**2 + 68*l.
l*(l + 2)*(l + 34)
Let -i**4 - 5*i**3 + 13*i**2 - 7*i = 0. What is i?
-7, 0, 1
Factor -4*y**3 + 16*y**2 + 28*y - 40.
-4*(y - 5)*(y - 1)*(y + 2)
Determine h so that -3*h**3 - 15*h**2 = 0.
-5, 0
Factor -4*m**5 + 20*m**4 - 16*m**3.
-4*m**3*(m - 4)*(m - 1)
What is k in -2*k**2 + 176*k - 3872 = 0?
44
Factor 2*m**2 + 2004*m + 2002.
2*(m + 1)*(m + 1001)
Factor -t**2/3 + 168*t - 1004/3.
-(t - 502)*(t - 2)/3