- 687)**2
Factor j**2/8 - 12*j + 288.
(j - 48)**2/8
Factor -h**2 + 376*h + 4257.
-(h - 387)*(h + 11)
Factor -2*j**3 + 118*j**2 + 924*j.
-2*j*(j - 66)*(j + 7)
Find w such that 3*w**4 + 3*w**3 - 90*w**2 + 228*w - 168 = 0.
-7, 2
Determine v so that 6*v**2/7 + 3812*v/7 + 1816418/21 = 0.
-953/3
What is j in -j**4 - 10*j**3 - 24*j**2 = 0?
-6, -4, 0
Let -2*y**2 - 230*y + 3328 = 0. What is y?
-128, 13
Find i, given that -2*i**5/7 - 508*i**4/7 - 1006*i**3/7 + 508*i**2/7 + 144*i = 0.
-252, -2, -1, 0, 1
What is w in -4*w**4 - 70*w**3 - 158*w**2 - 122*w - 30 = 0?
-15, -1, -1/2
Factor 2*u**3/5 - 2*u**2/5 - 28*u/5 + 48/5.
2*(u - 3)*(u - 2)*(u + 4)/5
Factor g**4/8 + 121*g**3/4 + 2430*g**2 + 255879*g/4 - 531441/8.
(g - 1)*(g + 81)**3/8
Find z such that -2*z**2/15 - 524*z/15 - 174/5 = 0.
-261, -1
Solve -5*h**5 - 95*h**4 - 630*h**3 - 1620*h**2 - 1080*h = 0 for h.
-6, -1, 0
Suppose i**5 + 2*i**4 - i**3 - 2*i**2 = 0. Calculate i.
-2, -1, 0, 1
Factor -2738*i**3 + 1480*i**2 - 200*i.
-2*i*(37*i - 10)**2
Factor 2*l**4/15 - 2*l**3/5 - 2*l**2/15 + 2*l/5.
2*l*(l - 3)*(l - 1)*(l + 1)/15
Solve 15*i**4 + 54*i**3 + 36*i**2 - 24*i = 0.
-2, 0, 2/5
Let g**2 - 3544*g + 3139984 = 0. Calculate g.
1772
Find z such that -4*z**4 - 4*z**3 + 24*z**2 = 0.
-3, 0, 2
Factor -2*c**2/15 - 32*c - 1920.
-2*(c + 120)**2/15
Solve 2*r**3 - 2*r**2 - 40*r = 0 for r.
-4, 0, 5
Find g, given that 5*g**2 + 870*g - 875 = 0.
-175, 1
Solve -f**3/6 - 2*f**2/3 + f/6 + 2/3 = 0.
-4, -1, 1
Find d such that 2*d**4/13 - 16*d**3/13 + 10*d**2/13 + 100*d/13 = 0.
-2, 0, 5
Solve 3*o**5 - 21*o**4 - 9*o**3 + 69*o**2 - 42*o = 0.
-2, 0, 1, 7
Factor -s**3/4 - 11*s**2/2 + s/4 + 11/2.
-(s - 1)*(s + 1)*(s + 22)/4
Solve -c**2/2 - 7*c + 36 = 0.
-18, 4
Find n, given that -35*n**3 + 220*n**2 - 340*n + 80 = 0.
2/7, 2, 4
Factor -q**5/2 + 4*q**4 - 11*q**3 + 12*q**2 - 9*q/2.
-q*(q - 3)**2*(q - 1)**2/2
Find y, given that -2*y**4 - 54*y**3 + 2*y**2 + 54*y = 0.
-27, -1, 0, 1
Let 12*u**5 + 40*u**4 - 248*u**3 + 384*u**2 - 244*u + 56 = 0. What is u?
-7, 2/3, 1
Factor -4*s**4 + 56*s**3 - 132*s**2 - 16*s + 176.
-4*(s - 11)*(s - 2)**2*(s + 1)
Determine b, given that -5*b**4 + 35*b**3 + 570*b**2 - 2540*b + 2600 = 0.
-10, 2, 13
Find f such that 4*f**2 - 164*f = 0.
0, 41
Factor 96*t**4 + 540*t**3 + 219*t**2/8 - 8235*t/4 + 11163/8.
3*(t - 1)**2*(16*t + 61)**2/8
Suppose -18*v**5 + 24*v**4 + 76*v**3 + 40*v**2 + 6*v = 0. Calculate v.
-1, -1/3, 0, 3
Find f such that 3*f**2/8 - 135*f/2 + 6075/2 = 0.
90
Solve 3*p**4 - 969*p**3 + 8559*p**2 - 25515*p + 25434 = 0.
3, 314
Factor i**2/3 + 16*i/3 + 5.
(i + 1)*(i + 15)/3
What is g in 2*g**2/7 - 15412*g/7 + 29691218/7 = 0?
3853
Factor 35*m**2 + 1635*m - 470.
5*(m + 47)*(7*m - 2)
Factor -l**3/2 - 19*l**2/2 - 8*l + 18.
-(l - 1)*(l + 2)*(l + 18)/2
Let w**3/4 - w**2/4 = 0. Calculate w.
0, 1
Factor -d**5/3 - 10*d**4/3 - 3*d**3.
-d**3*(d + 1)*(d + 9)/3
Factor w**4/3 + w**3/3 - 5*w**2/3 + w.
w*(w - 1)**2*(w + 3)/3
Suppose 3*d**3/8 - 15*d**2 + 837*d/8 = 0. Calculate d.
0, 9, 31
Find v such that 5*v**4 + 120*v**3 - 425*v**2 - 540*v = 0.
-27, -1, 0, 4
Suppose 6125*c**2 + 1050*c + 45 = 0. What is c?
-3/35
Solve -4*p**2/9 + 124*p/9 - 232/9 = 0.
2, 29
Solve 3*m**2 - 27*m - 210 = 0.
-5, 14
Find l such that 25*l**5 - 545*l**4 - 2610*l**3 - 3100*l**2 - 520*l = 0.
-2, -1/5, 0, 26
Factor b**5/3 + 58*b**4 + 340*b**3 + 2024*b**2/3 + 448*b.
b*(b + 2)**3*(b + 168)/3
Suppose -2*i**2/15 - 58*i/15 - 56/15 = 0. What is i?
-28, -1
Suppose -2*x**4/5 + 314*x**3/5 + 324*x**2 = 0. Calculate x.
-5, 0, 162
Factor -t**2/11 - 1659*t/11 - 1658/11.
-(t + 1)*(t + 1658)/11
Factor -2*h**4/3 - 84*h**3 - 3462*h**2 - 51408*h - 249696.
-2*(h + 12)**2*(h + 51)**2/3
What is g in 4*g**4 - 76*g**3 + 260*g**2 - 308*g + 120 = 0?
1, 2, 15
Let -d**2/2 + 109*d/2 = 0. What is d?
0, 109
Determine h so that 3*h**5 + 6*h**4 - 39*h**3 - 42*h**2 + 72*h = 0.
-4, -2, 0, 1, 3
Factor 3*q**3 + 138*q**2 + 1209*q + 1890.
3*(q + 2)*(q + 9)*(q + 35)
Solve 4*g**3 - 936*g**2 + 53808*g + 111392 = 0 for g.
-2, 118
Factor -193*h**2 + 582*h - 9.
-(h - 3)*(193*h - 3)
Factor 2*u**4 - 612*u**3 + 606*u**2 + 1220*u.
2*u*(u - 305)*(u - 2)*(u + 1)
Factor -15*n**3 + 10610*n**2 - 1872660*n - 1253160.
-5*(n - 354)**2*(3*n + 2)
Solve 13*c**3/2 + 46*c**2 - 227*c/2 - 9 = 0.
-9, -1/13, 2
Determine w so that w**4/5 - 11*w**3/5 - 111*w**2/5 - 261*w/5 - 162/5 = 0.
-3, -1, 18
Factor -2*g**2/11 + 12640*g/11 - 19971200/11.
-2*(g - 3160)**2/11
Solve 2*t**5/9 + 28*t**4/9 + 38*t**3/3 + 8*t**2 - 24*t = 0 for t.
-6, -3, 0, 1
Factor -h**2/6 - 43*h/3 - 1849/6.
-(h + 43)**2/6
Factor -5*u**3/4 + 19*u**2/4 + 29*u/4 + 5/4.
-(u - 5)*(u + 1)*(5*u + 1)/4
Solve 2*l**2/11 + 180*l/11 + 4050/11 = 0 for l.
-45
Determine o, given that 20*o**4 - 975*o**3 + 3875*o**2 + 13350*o + 3080 = 0.
-2, -1/4, 7, 44
Determine o so that 2*o**3/7 + 22*o**2/7 + 16*o/7 - 40/7 = 0.
-10, -2, 1
Factor -5*p**4 - 190*p**3 - 1135*p**2 - 1550*p.
-5*p*(p + 2)*(p + 5)*(p + 31)
Factor -m**2/3 - 14*m/3 + 32/3.
-(m - 2)*(m + 16)/3
Let 2*w**3 + 16*w**2 - 222*w - 756 = 0. Calculate w.
-14, -3, 9
Solve -2*t**5/3 + 18*t**4 - 316*t**3/3 + 760*t**2/3 - 272*t + 320/3 = 0 for t.
1, 2, 20
Solve -4*o**3 - 1672*o**2 + 5052*o = 0 for o.
-421, 0, 3
Factor -3*l**3 - 2073*l**2 - 2070*l.
-3*l*(l + 1)*(l + 690)
Determine j so that -2*j**2 - 3226*j - 9660 = 0.
-1610, -3
Determine y so that 5*y**3 + 885*y**2 + 52215*y + 1026895 = 0.
-59
Let -u**3/3 + 35*u**2/3 - 96*u - 108 = 0. Calculate u.
-1, 18
Let 2*d**3/5 + 6954*d**2/5 + 8059686*d/5 + 3113725358/5 = 0. What is d?
-1159
Factor -3*a**3 - 3573*a**2 - 1062072*a + 1065648.
-3*(a - 1)*(a + 596)**2
Factor 2*x**4/7 + 132*x**3/7 + 2426*x**2/7 + 8184*x/7 + 7688/7.
2*(x + 2)**2*(x + 31)**2/7
Find p such that p**4/6 + 7*p**3/3 + 15*p**2/2 + 26*p/3 + 10/3 = 0.
-10, -2, -1
What is c in c**4 + 93*c**3/2 + 68*c**2 + 45*c/2 = 0?
-45, -1, -1/2, 0
Factor -3*y**4/8 - 9*y**3/2 - 87*y**2/8 - 27*y/4.
-3*y*(y + 1)*(y + 2)*(y + 9)/8
Factor -3*m**3 - 18*m**2 + 96.
-3*(m - 2)*(m + 4)**2
Factor x**4 + 3*x**3 - 7*x**2 - 15*x + 18.
(x - 2)*(x - 1)*(x + 3)**2
Factor 4*p**2 - 1016*p.
4*p*(p - 254)
Factor -p**3/2 + 5*p**2 - 25*p/2.
-p*(p - 5)**2/2
Solve -6*n**3 - 129*n**2 + 69*n + 66 = 0.
-22, -1/2, 1
Factor m**4/2 + 33*m**3/2 + 111*m**2/2 - 145*m/2.
m*(m - 1)*(m + 5)*(m + 29)/2
Factor s**3/8 - 2995*s**2/8 + 2244003*s/8 - 2241009/8.
(s - 1497)**2*(s - 1)/8
Determine c, given that 4*c**3 - 48*c**2 + 116*c - 72 = 0.
1, 2, 9
Factor -2*y**2 - 612*y - 46818.
-2*(y + 153)**2
Let -10*u**4/9 - 1588*u**3/9 - 138*u**2 + 3472*u/9 - 632/9 = 0. Calculate u.
-158, -2, 1/5, 1
Factor -5*a**4 - 95*a**3 + 320*a**2 - 220*a.
-5*a*(a - 2)*(a - 1)*(a + 22)
Let 2*c**2/3 + 562*c/3 - 760 = 0. What is c?
-285, 4
Factor 2*n**3/11 - 14*n**2/11 - 56*n/11 - 40/11.
2*(n - 10)*(n + 1)*(n + 2)/11
Let 2*b**4 + 6*b**3 - 2*b**2 - 6*b = 0. Calculate b.
-3, -1, 0, 1
Find u such that -2*u**2/9 - 16*u/9 - 10/3 = 0.
-5, -3
Find i such that i**5/3 - i**3 - 2*i**2/3 = 0.
-1, 0, 2
Suppose -5*o**2 - 60*o - 55 = 0. What is o?
-11, -1
Suppose 2*t**4/5 + 8*t**3/5 + 6*t**2/5 = 0. What is t?
-3, -1, 0
Factor -2*w**5/7 + 20*w**4/7 - 32*w**3/7.
-2*w**3*(w - 8)*(w - 2)/7
Factor -i**4/4 - 3*i**3/4 + i.
-i*(i - 1)*(i + 2)**2/4
Suppose -5*j**3 - 20*j**2 + 60*j = 0. Calculate j.
-6, 0, 2
Determine d so that 2*d**3 + 296*d**2 - 600*d = 0.
-150, 0, 2
Factor 3*o**2 + 10932*o + 9959052.
3*(o + 1822)**2
Factor -65*w**2/4 - w/2.
-w*(65*w + 2)/4
Factor 2*g**4/3 + 36*g**3 - 112*g**2 + 340*g/3 - 38.
2*(g - 1)**3*(g + 57)/3
Factor -2197*q**5 + 5070*q**4 + 4212*q**3 + 1026*q**2 + 81*q.
-q*(q - 3)*(13*q + 3)**3
Factor -2*b**4 - 2*b**3 + 156*b**2 + 360*b - 1296.
-2*(b - 9)*(b - 2)*(b + 6)**2
Find j such that 3*j**4/2 - 9*j**3 + 15*j**2/2 + 36*j - 54 = 0.
-2, 2, 3
Factor 2*i**2/3 + 762*i - 2288/3.
2*(i - 1)*(i + 1144)/3
Factor 2*r**3/3 - 36*r**2 - 50*r + 2200/3.
2*(r - 55)*(r - 4)*(r + 5)/3
Let -5*o**3 - 140*o**2 - 1280*o - 3840 = 0. Calculate o.
-12, -8
Suppose y**2/12 + 8*y/3 + 31/12 = 0. What is y?
-31, -1
Factor -200*h**3 - 360*h**2 + 78*h - 4.
-2*(h + 2)*(10*h - 1)**2
Factor 15*o**2 - 1869*o - 750.
3*(o - 125)*(5*o + 2)
Factor 3*a**4 + 510*a**3 + 1008*a**2.
3*a**2*(a + 2)*(a + 168)
Let 20*n**5 + 125*n**4 - 30*n**3 - 415*n**2 - 340*n - 60 = 0. What is n?
-6, -1, -1/4, 2
Factor -2*s**5 - 10*s**4 + 28*s**3.
