- 2313)**2*(z + 2)/9
Solve -2*b**2 + 154*b + 480 = 0.
-3, 80
Factor 125*w**4 - 50100*w**3 + 40020*w**2 - 8000*w.
5*w*(w - 400)*(5*w - 2)**2
Factor -2*i**3/7 + 30*i**2/7 + 576*i/7 - 8704/7.
-2*(i - 16)**2*(i + 17)/7
Factor a**3/5 + 106*a**2/5 + 509*a/5 + 404/5.
(a + 1)*(a + 4)*(a + 101)/5
Factor w**5/2 + 36*w**4 - 147*w**3/2 + 37*w**2.
w**2*(w - 1)**2*(w + 74)/2
Suppose -48*x**3/7 - 4*x**2/7 + 36*x/7 - 8/7 = 0. Calculate x.
-1, 1/4, 2/3
What is g in g**2 - 83*g = 0?
0, 83
Factor 3*v**2/7 - 75*v/7.
3*v*(v - 25)/7
Find y, given that -2*y**2/11 - 676*y/11 - 1344/11 = 0.
-336, -2
What is t in t**5 - 11*t**4 + 7*t**3 + 31*t**2 - 8*t - 20 = 0?
-1, 1, 2, 10
Factor -3*v**3 - 639*v**2 + 3*v + 639.
-3*(v - 1)*(v + 1)*(v + 213)
Determine a so that 3*a**3 + 54*a**2 + 99*a + 48 = 0.
-16, -1
Suppose -3*w**4 + 72*w**3 - 171*w**2 - 402*w + 504 = 0. Calculate w.
-2, 1, 4, 21
Factor x**2/2 + 7*x.
x*(x + 14)/2
Factor -w**4/4 - 41*w**3/4 + 3*w**2/4 + 121*w/4 - 41/2.
-(w - 1)**2*(w + 2)*(w + 41)/4
Determine c so that 4*c**5 - 4*c**4 - 44*c**3 + 116*c**2 - 104*c + 32 = 0.
-4, 1, 2
Determine x so that x**4 + 29*x**3/3 + 38*x**2/3 - 16*x/3 = 0.
-8, -2, 0, 1/3
Determine p, given that p**3 - 87*p**2 + 1935*p - 1849 = 0.
1, 43
Factor -8*b**4/5 + 74*b**3/5 - 18*b**2/5.
-2*b**2*(b - 9)*(4*b - 1)/5
Factor -m**4/4 - 17*m**3 - 543*m**2/2 + 595*m - 1225/4.
-(m - 1)**2*(m + 35)**2/4
Solve 2*l**4/7 - 24*l**3/7 + 40*l**2/7 = 0 for l.
0, 2, 10
Factor o**2/6 + 109*o/6 - 55/3.
(o - 1)*(o + 110)/6
Factor -4*h**3 - 104*h**2 + 1340*h - 3600.
-4*(h - 5)**2*(h + 36)
Factor -5*n**3 + 10*n**2 + 65*n + 50.
-5*(n - 5)*(n + 1)*(n + 2)
Factor -2*n**4 + 8*n**3 + 252*n**2 + 1080*n + 1350.
-2*(n - 15)*(n + 3)**2*(n + 5)
Factor p**2 - 24*p + 63.
(p - 21)*(p - 3)
Factor -2*m**2/11 - 48*m/11 - 46/11.
-2*(m + 1)*(m + 23)/11
What is w in w**5 - 342*w**4/7 + 219*w**3 - 1622*w**2/7 - 264*w/7 = 0?
-1/7, 0, 2, 3, 44
Suppose -12*g**5 - 68*g**4 + 120*g**3 + 40*g**2 - 108*g + 28 = 0. Calculate g.
-7, -1, 1/3, 1
Solve -3*o**3 + 471*o**2 - 1845*o + 1377 = 0 for o.
1, 3, 153
What is k in -2*k**4/11 + 12*k**3/11 - 24*k**2/11 + 16*k/11 = 0?
0, 2
Solve 4*o**5 - 16*o**4 - 32*o**3 + 128*o**2 + 64*o - 256 = 0 for o.
-2, 2, 4
Find y, given that -y**5/2 - 3*y**4 = 0.
-6, 0
Suppose 2*q**2 - 8*q + 6 = 0. What is q?
1, 3
Factor -1681*p**3/2 + 25707*p**2/2 - 3708*p + 270.
-(p - 15)*(41*p - 6)**2/2
Factor 5*d**4/3 + d**3 - 2*d**2/3.
d**2*(d + 1)*(5*d - 2)/3
Suppose -4*g**3/5 - 16*g**2 - 80*g = 0. Calculate g.
-10, 0
Solve 35*v**5 - 130*v**4 + 65*v**3 + 30*v**2 = 0.
-2/7, 0, 1, 3
Determine m, given that m**5 - 502*m**4 + 3481*m**3 - 7932*m**2 + 5940*m = 0.
0, 2, 3, 495
Solve -45*s**5 - 100*s**4 + 25*s**3 + 100*s**2 + 20*s = 0.
-2, -1, -2/9, 0, 1
Factor 4*g**2 - 292*g + 2728.
4*(g - 62)*(g - 11)
Suppose -p**5/5 + 326*p**4/5 - 27213*p**3/5 + 104972*p**2/5 - 103684*p/5 = 0. Calculate p.
0, 2, 161
Factor 2*c**2 - 54*c - 56.
2*(c - 28)*(c + 1)
Let -5*d**3 + 5*d**2 + 20*d - 20 = 0. What is d?
-2, 1, 2
Factor -4*c**5 + 20*c**4 - 36*c**3 + 28*c**2 - 8*c.
-4*c*(c - 2)*(c - 1)**3
Solve -w**3 + 195*w**2 - 12675*w + 274625 = 0.
65
Determine l so that -3*l**2 - 144*l - 1728 = 0.
-24
Solve n**3/5 + 9*n**2/5 + 14*n/5 = 0.
-7, -2, 0
Factor -m**4/8 - 69*m**3/4 - 5029*m**2/8 - 4623*m/2 - 4489/2.
-(m + 2)**2*(m + 67)**2/8
Factor -3*u**2 + 195*u + 1752.
-3*(u - 73)*(u + 8)
Factor -i**2/4 - 105*i/4 - 26.
-(i + 1)*(i + 104)/4
Let 2*z**2/9 + 994*z/9 - 332/3 = 0. What is z?
-498, 1
Factor 3*s**4 - 78*s**3 - 81*s**2 + 2268*s - 4212.
3*(s - 26)*(s - 3)**2*(s + 6)
Factor l**3/4 - l**2/4 - 2*l + 3.
(l - 2)**2*(l + 3)/4
Find p, given that -4*p**2/7 + 337*p/7 + 255/7 = 0.
-3/4, 85
Factor 4*l**3/3 + 3746*l**2/3 + 292656*l + 146016.
2*(l + 468)**2*(2*l + 1)/3
Suppose 71*f**5 - f**4 = 0. What is f?
0, 1/71
Solve -j**5/4 - 31*j**4 - 2099*j**3/2 - 5487*j**2 - 31329*j/4 = 0.
-59, -3, 0
What is n in 868*n**5/3 + 2316*n**4 + 4640*n**3 + 64*n**2/3 = 0?
-4, -1/217, 0
Factor -g**4/5 + 98*g**3/5 + 60*g**2 + 302*g/5 + 101/5.
-(g - 101)*(g + 1)**3/5
Solve 32*o**3/5 - 16*o**2/5 + 2*o/5 = 0 for o.
0, 1/4
Factor 2*p**2 - 6*p/5 - 4/5.
2*(p - 1)*(5*p + 2)/5
Let 2*n**2 - 1800*n + 405000 = 0. Calculate n.
450
Suppose 242*y**2/7 + 4752*y/7 + 23328/7 = 0. Calculate y.
-108/11
Solve -4*l**4/5 - 2*l**3 - 4*l**2/5 = 0.
-2, -1/2, 0
Factor 3*h**3 - 9*h**2 + 6*h.
3*h*(h - 2)*(h - 1)
Factor -g**3/5 + 16*g**2/5 - 11*g.
-g*(g - 11)*(g - 5)/5
Factor -3*t**2/2 - 102*t + 639/2.
-3*(t - 3)*(t + 71)/2
Let n**3 - 158*n**2 = 0. What is n?
0, 158
Find w such that 4*w**4/5 - 136*w**3/5 - 292*w**2/5 + 136*w/5 + 288/5 = 0.
-2, -1, 1, 36
Suppose -g**3 - 20*g**2 = 0. Calculate g.
-20, 0
Factor 14*k**2/11 + 2*k/11 - 120/11.
2*(k + 3)*(7*k - 20)/11
Factor -4*q**3 + 484*q**2 - 472*q - 960.
-4*(q - 120)*(q - 2)*(q + 1)
Find c such that 5*c**2 - 55*c - 130 = 0.
-2, 13
Let -5*f**5 + 20*f**4 - 20*f**3 - 10*f**2 + 25*f - 10 = 0. Calculate f.
-1, 1, 2
Factor -2*j**2/3 - 1168*j - 511584.
-2*(j + 876)**2/3
Determine y so that 5*y**4 + 50*y**3 + 125*y**2 = 0.
-5, 0
Find q such that 3*q**3/5 + 12*q**2/5 + 9*q/5 = 0.
-3, -1, 0
Factor -3*r**2 - 114*r - 216.
-3*(r + 2)*(r + 36)
Find g such that -5*g**4 - 260*g**3 = 0.
-52, 0
Factor b**3/3 + 4*b**2 - 159*b + 464/3.
(b - 16)*(b - 1)*(b + 29)/3
Factor -v**2/3 - 490*v/3 - 60025/3.
-(v + 245)**2/3
Let 2*f**5 - 12*f**4 + 8*f**3 + 12*f**2 - 10*f = 0. Calculate f.
-1, 0, 1, 5
Factor 4*k**3/3 - 296*k**2/3 + 5168*k/3 + 11552/3.
4*(k - 38)**2*(k + 2)/3
Factor -2*d**4/3 + 292*d**3/3 - 288*d**2 + 860*d/3 - 286/3.
-2*(d - 143)*(d - 1)**3/3
Factor 2*d**4/9 + 28*d**3/9 + 122*d**2/9 + 56*d/3 + 8.
2*(d + 1)**2*(d + 6)**2/9
Find h, given that -2*h**4 - 228*h**3 + 464*h**2 = 0.
-116, 0, 2
Factor 4*l**3 - 60*l**2 + 108*l + 972.
4*(l - 9)**2*(l + 3)
Find d such that -d**2 + 2*d = 0.
0, 2
Factor 2*s**4/5 - 386*s**3/5.
2*s**3*(s - 193)/5
Solve 4*k**5/5 - 32*k**4/5 + 84*k**3/5 - 88*k**2/5 + 32*k/5 = 0 for k.
0, 1, 2, 4
Factor 2*u**4 + 94*u**3 + 394*u**2 - 1078*u + 588.
2*(u - 1)**2*(u + 7)*(u + 42)
What is f in 25*f**4 - 1465*f**3 + 20410*f**2 + 30900*f + 9000 = 0?
-1, -2/5, 30
Factor m**3/4 + 45*m**2/4 - 1677*m/4 + 11999/4.
(m - 13)**2*(m + 71)/4
Factor 2*j**3/3 + 236*j**2/3 + 230*j/3 - 156.
2*(j - 1)*(j + 2)*(j + 117)/3
Factor 6*t**3 + 21*t**2 + 24*t + 9.
3*(t + 1)**2*(2*t + 3)
Factor 4*o**2 - 844*o.
4*o*(o - 211)
Factor h**4/7 + 11*h**3/7 + 10*h**2/7.
h**2*(h + 1)*(h + 10)/7
Factor -2*i**3/5 - 8*i**2/5 + 22*i/5 - 12/5.
-2*(i - 1)**2*(i + 6)/5
Determine t, given that -4*t**4/7 + 72*t**3/7 - 164*t**2/7 - 240*t/7 = 0.
-1, 0, 4, 15
Solve -2*n**5 + 8*n**4 + 2*n**3 - 8*n**2 = 0 for n.
-1, 0, 1, 4
Find h such that 2*h**2/11 + 30*h/11 + 72/11 = 0.
-12, -3
Find y such that -3*y**2/2 + 1182*y - 232854 = 0.
394
Determine t, given that 2*t**3 + 22*t**2 + 64*t + 56 = 0.
-7, -2
Factor t**4/5 - 3*t**3/5 - 9*t**2/5 + 23*t/5 - 12/5.
(t - 4)*(t - 1)**2*(t + 3)/5
Factor -3*z**3/8 + 15*z**2/2 + 207*z/8.
-3*z*(z - 23)*(z + 3)/8
Suppose -a**2/3 - 33*a + 202/3 = 0. Calculate a.
-101, 2
Find x such that 5*x**3 + 60*x**2 + 45*x - 110 = 0.
-11, -2, 1
Factor -2*q**2/9 + 58*q/3 + 60.
-2*(q - 90)*(q + 3)/9
Let 2*l**3/5 - 8*l**2 + 72*l/5 = 0. What is l?
0, 2, 18
Factor 25*y**3 + 4335*y**2 - 2620*y - 1740.
5*(y - 1)*(y + 174)*(5*y + 2)
Suppose -3*z**5/8 - 3*z**4/4 + 63*z**3/8 - 33*z**2/4 - 15*z/2 + 9 = 0. Calculate z.
-6, -1, 1, 2
Factor -2*m**3 + 142*m**2 - 1488*m + 4248.
-2*(m - 59)*(m - 6)**2
Find y such that y**4/3 + 800*y**3/3 + 80000*y**2 + 32000000*y/3 + 1600000000/3 = 0.
-200
What is g in -2*g**3/9 + 254*g**2/9 - 910*g + 882 = 0?
1, 63
Factor -2*w**5 + 15*w**4 - 37*w**3 + 22*w**2 + 36*w - 40.
-(w - 2)**3*(w + 1)*(2*w - 5)
Factor -p**4/4 - 20*p**3 + 299*p**2/2 - 238*p + 435/4.
-(p - 5)*(p - 1)**2*(p + 87)/4
Suppose -t**4/8 - 31*t**3/8 + 143*t**2/8 + 87*t/8 - 315/4 = 0. What is t?
-35, -2, 3
Determine h, given that -3*h**5 + 108*h**4 + 117*h**3 - 222*h**2 = 0.
-2, 0, 1, 37
Suppose m**3 + 470*m**2 + 55225*m = 0. Calculate m.
-235, 0
Suppose 25*k**4 + 60*k**3 + 20*k**2 = 0. What is k?
-2, -2/5, 0
Factor 3*c**2/2 + 333*c/2 - 168.
3*(c - 1)*(c + 112)/2
Find t, given that t**4/4 + 6*t**3 - t**2/4 - 6*t = 0.
-24, -1, 0, 1
Suppose -5*t**3 - 430*t**2 - 1660*t - 1640 = 0. What is t?
-82, -2
Factor -w**2/5 + 3*w/5 