- 25*a**3 - 385*a**2/4 - 120*a - 27 = 0?
-9, -3, -2, -2/7
Suppose 32*j**3 - 220*j**2 + 496*j - 368 = 0. Calculate j.
2, 23/8
Solve -z**4/3 + 26*z**3 - 700*z**2 + 21250*z/3 - 15625 = 0.
3, 25
Factor 3*t**2/2 - 8097*t + 21853803/2.
3*(t - 2699)**2/2
Suppose 3*o**3 + 39*o**2 + 120*o + 108 = 0. Calculate o.
-9, -2
Let -2*g**3/9 + 982*g**2/3 - 3920*g/3 + 11752/9 = 0. What is g?
2, 1469
Suppose f**3/2 + 27*f**2/2 = 0. Calculate f.
-27, 0
What is s in s**2/7 - 6*s/7 + 9/7 = 0?
3
Find y such that 3*y**2 + 258*y + 5547 = 0.
-43
Factor -2*b**3/9 - 26*b**2/9 - 112*b/9 - 160/9.
-2*(b + 4)**2*(b + 5)/9
Determine c so that -18*c**4/5 - 10*c**3 + 12*c**2/5 = 0.
-3, 0, 2/9
Factor -76*j**2 - 140*j - 64.
-4*(j + 1)*(19*j + 16)
Let 15*l**5 - 25*l**4 - 55*l**3 + 105*l**2 - 20*l - 20 = 0. What is l?
-2, -1/3, 1, 2
Factor -5*k**2/11 + 454*k/11 + 91/11.
-(k - 91)*(5*k + 1)/11
Find w, given that 31*w**2 - 67*w - 98 = 0.
-1, 98/31
Suppose 4*o**2 + 6872*o + 2951524 = 0. What is o?
-859
Factor 4*w**2/5 + 16*w/5 - 4.
4*(w - 1)*(w + 5)/5
Suppose r**5/2 + 51*r**4/2 + 675*r**3/2 + 625*r**2/2 = 0. Calculate r.
-25, -1, 0
Let 2*n**5/9 - 32*n**4/9 + 146*n**3/9 - 20*n**2 = 0. What is n?
0, 2, 5, 9
Suppose -192*r**3/7 - 816*r**2/7 + 99*r - 135/7 = 0. Calculate r.
-5, 3/8
Determine k, given that -k**4 - 2*k**3 + 3*k**2 = 0.
-3, 0, 1
Solve -3*v**2 + 1359*v = 0.
0, 453
Factor -2*s**3/17 - 18*s**2/17 - 40*s/17 - 24/17.
-2*(s + 1)*(s + 2)*(s + 6)/17
Let -2*l**2/15 + 14*l/15 = 0. Calculate l.
0, 7
Let -d**5 - 15*d**4 - 50*d**3 - 70*d**2 - 45*d - 11 = 0. Calculate d.
-11, -1
Find h such that 4*h**4/7 - 15*h**3/7 + 8*h**2/7 + 3*h/7 = 0.
-1/4, 0, 1, 3
Solve -3878307*b**3 - 3864663*b**2 + 13632*b - 12 = 0 for b.
-1, 2/1137
Determine h, given that -9*h**3/4 + 39*h**2/2 - 135*h/4 - 27/2 = 0.
-1/3, 3, 6
Factor 8*n**3/3 + 50*n**2/3 - 188*n - 48.
2*(n - 6)*(n + 12)*(4*n + 1)/3
Factor 2*u**5 + 16*u**4 + 42*u**3 + 44*u**2 + 16*u.
2*u*(u + 1)**2*(u + 2)*(u + 4)
Factor -z**4/2 - 3*z**3 - 5*z**2/2 + 12*z + 18.
-(z - 2)*(z + 2)*(z + 3)**2/2
Find h, given that 2*h**3/15 + 4*h**2/5 + 22*h/15 + 4/5 = 0.
-3, -2, -1
Let -32*p**5/17 + 432*p**4/17 - 1538*p**3/17 + 492*p**2/17 + 562*p/17 + 84/17 = 0. What is p?
-1/4, 1, 6, 7
Find p, given that -2*p**4/15 - 26*p**3/15 - 74*p**2/15 - 2*p/5 + 36/5 = 0.
-9, -3, -2, 1
Factor 3*p**2 - 3117*p + 3114.
3*(p - 1038)*(p - 1)
Factor 4*z**3/5 - 28*z**2/5 - 1264*z/5 - 1232/5.
4*(z - 22)*(z + 1)*(z + 14)/5
Let 179574*m**3/7 + 64010*m**2/7 + 1408*m/7 + 8/7 = 0. What is m?
-1/3, -2/173
Factor y**5 - 43*y**4 + 83*y**3 - 41*y**2.
y**2*(y - 41)*(y - 1)**2
Find c such that -4*c**2 + 1672*c - 174724 = 0.
209
Factor p**3/6 - 25*p**2/6 + 4*p.
p*(p - 24)*(p - 1)/6
Factor 45*q**2 - 545*q + 500.
5*(q - 1)*(9*q - 100)
Solve 18*q**3/5 + 256*q**2/5 + 56*q/5 = 0.
-14, -2/9, 0
Suppose -18*a**2 + 50*a + 12 = 0. Calculate a.
-2/9, 3
What is d in 2*d**5/13 - 10*d**4/13 - 2*d**3/13 + 10*d**2/13 = 0?
-1, 0, 1, 5
Factor 4*d**3 - 812*d**2 - 4*d + 812.
4*(d - 203)*(d - 1)*(d + 1)
Determine t, given that 3*t**5 - 144*t**4 + 1563*t**3 + 4326*t**2 - 6300*t - 15000 = 0.
-2, 2, 25
Factor 5*l**5 - 105*l**3 - 100*l**2.
5*l**2*(l - 5)*(l + 1)*(l + 4)
Determine j so that 972*j**4 + 18684*j**3 + 100479*j**2 + 102762*j + 29403 = 0.
-9, -11/18
Suppose -9*k**5/7 - 30*k**4/7 + 72*k**3/7 + 234*k**2/7 + 177*k/7 + 36/7 = 0. What is k?
-4, -1, -1/3, 3
Suppose 15*a**4 - 1071*a**3 - 654*a**2 + 432*a = 0. Calculate a.
-1, 0, 2/5, 72
Find x such that 4*x**2/7 + 4*x + 48/7 = 0.
-4, -3
Solve -4*w**2 - 48*w - 128 = 0 for w.
-8, -4
Suppose 2*y**5/15 - 4*y**4/5 - 4*y**3/3 + 8*y**2/3 + 6*y/5 - 28/15 = 0. What is y?
-2, -1, 1, 7
Factor -n**3/6 + 31*n**2/6 - 89*n/3 + 40.
-(n - 24)*(n - 5)*(n - 2)/6
Factor -5*z**2 + 14215*z.
-5*z*(z - 2843)
Factor -3*y**2/7 - 36*y/7 - 33/7.
-3*(y + 1)*(y + 11)/7
Find h, given that -15*h**4/2 + 65*h**3/2 - 65*h**2/2 + 15*h/2 = 0.
0, 1/3, 1, 3
Suppose -2*r**2 - 44*r - 242 = 0. What is r?
-11
Determine g so that 3*g**2/4 + 129*g - 2655/4 = 0.
-177, 5
Solve 2*t**5 - 84*t**4 + 158*t**3 + 84*t**2 - 160*t = 0 for t.
-1, 0, 1, 2, 40
Solve 3*z**5/4 + 231*z**4/2 - 471*z**3/4 - 465*z**2/2 = 0 for z.
-155, -1, 0, 2
Find v, given that 9*v**2 + 669*v + 222 = 0.
-74, -1/3
Determine v, given that v**3 + 37*v**2 - 77*v + 39 = 0.
-39, 1
Factor -p**3/2 + 29*p**2/2 + 65*p/2 - 93/2.
-(p - 31)*(p - 1)*(p + 3)/2
Suppose 3*s**4/4 - 17*s**3/4 + 17*s**2/2 - 7*s + 2 = 0. What is s?
2/3, 1, 2
Factor -o**3/3 - 7*o**2 + o/3 + 7.
-(o - 1)*(o + 1)*(o + 21)/3
What is r in -r**4/2 - 11*r**3 + 38*r**2 + 11*r - 75/2 = 0?
-25, -1, 1, 3
Find i, given that -10*i**3 - 225*i**2 - 105*i + 110 = 0.
-22, -1, 1/2
Factor -2225*q**2 + 2235*q - 10.
-5*(q - 1)*(445*q - 2)
Find a such that a**4 - a**3/7 = 0.
0, 1/7
Let -s**3/3 - 14*s**2/3 - 13*s/3 = 0. What is s?
-13, -1, 0
Let 21*a**4 - 12*a**3 - 576*a**2/7 + 48*a - 48/7 = 0. What is a?
-2, 2/7, 2
Find l, given that -5*l**2 - 280*l + 285 = 0.
-57, 1
Solve 2*t**4 - 18*t**3 + 2*t**2 + 162*t + 140 = 0 for t.
-2, -1, 5, 7
Suppose 2*y**3 - 24*y**2 + 54*y = 0. Calculate y.
0, 3, 9
Factor 8*p**4 + 6*p**3 - 66*p**2 - 80*p + 24.
2*(p - 3)*(p + 2)**2*(4*p - 1)
Suppose 20*q**2 - 185*q + 45 = 0. What is q?
1/4, 9
Factor -5*p**3 - 410*p**2 - 9500*p - 43320.
-5*(p + 6)*(p + 38)**2
Find n such that -2*n**3 - 160*n**2 + 666*n - 504 = 0.
-84, 1, 3
Suppose -2*g**2/9 + 112*g/9 + 38/3 = 0. Calculate g.
-1, 57
Let -2*c**5/5 - 54*c**4/5 - 222*c**3/5 - 2*c**2/5 + 192*c + 792/5 = 0. What is c?
-22, -3, -1, 2
Find o such that -4*o**2 - 492*o - 488 = 0.
-122, -1
Factor -4*h**4 - 56*h**3 + 332*h**2 + 816*h + 432.
-4*(h - 6)*(h + 1)**2*(h + 18)
Suppose -5*i**4/4 - 755*i**3/4 - 4515*i**2/2 - 2070*i = 0. What is i?
-138, -12, -1, 0
Find b such that b**4 - 54*b**3 - 3*b**2 + 164*b - 108 = 0.
-2, 1, 54
Solve -n**2/3 - 37*n/3 + 40 = 0 for n.
-40, 3
Determine i, given that -2*i**5 - 2*i**4 + 28*i**3 + 12*i**2 - 90*i + 54 = 0.
-3, 1, 3
Let -3*h**3/5 + 3*h**2/5 + 783*h/5 + 4617/5 = 0. Calculate h.
-9, 19
Suppose g**5/7 + 2*g**4/7 - 2*g**2/7 - g/7 = 0. What is g?
-1, 0, 1
Solve -3*w**3/5 + 4*w**2/5 + 4*w/5 = 0.
-2/3, 0, 2
Factor 2*u**2 - 55*u - 150.
(u - 30)*(2*u + 5)
Factor -2*r**3/15 - 106*r**2/15.
-2*r**2*(r + 53)/15
Factor 5*b**2 + 225*b + 430.
5*(b + 2)*(b + 43)
Suppose -1764*a**3 + 12684*a**2 - 2368*a + 112 = 0. What is a?
2/21, 7
Find q, given that -2*q**3/3 - 7*q**2/3 - 2*q = 0.
-2, -3/2, 0
Factor x**2/2 + 7*x/2 + 5.
(x + 2)*(x + 5)/2
Factor 4*r**4 + 64*r**3 + 320*r**2 + 512*r.
4*r*(r + 4)**2*(r + 8)
Find w, given that -3*w**4 - 33*w**3 + 1074*w**2 + 3408*w + 2304 = 0.
-24, -2, -1, 16
Factor -2*w**3/9 - 74*w**2/9 + 52*w/3.
-2*w*(w - 2)*(w + 39)/9
Determine w, given that -2*w**3/3 - 4*w**2/3 + 2*w/3 + 4/3 = 0.
-2, -1, 1
Factor 5*b**2 + 40*b + 75.
5*(b + 3)*(b + 5)
Solve x**3/6 - 4*x**2/3 + 7*x/6 = 0 for x.
0, 1, 7
Factor -2*d**3/15 - 5372*d**2/15 - 3607298*d/15.
-2*d*(d + 1343)**2/15
Factor -2*s**4/5 - 1008*s**3/5 - 125996*s**2/5 + 255024*s/5 - 128018/5.
-2*(s - 1)**2*(s + 253)**2/5
Factor -a**2/9 - 17*a/3 - 16.
-(a + 3)*(a + 48)/9
Factor -z**2 - 101*z/3 - 770/3.
-(z + 22)*(3*z + 35)/3
Factor 12*x**5 + 164*x**4 + 532*x**3 - 196*x**2.
4*x**2*(x + 7)**2*(3*x - 1)
Factor -y**4/3 + 20*y**3/3 + 43*y**2/3 + 22*y/3.
-y*(y - 22)*(y + 1)**2/3
Suppose -2*d**5/9 - 124*d**4/9 - 844*d**3/3 - 19184*d**2/9 - 55450*d/9 - 17500/3 = 0. What is d?
-25, -7, -3, -2
Solve -2*t**3/11 - 38*t**2 - 1216*t/11 + 4120/11 = 0.
-206, -5, 2
Factor -28*s**3 + 216*s**2 - 272*s - 96.
-4*(s - 6)*(s - 2)*(7*s + 2)
Determine s so that -4*s**5/3 - 60*s**4 + 2056*s**3/3 - 2568*s**2 + 3924*s - 1980 = 0.
-55, 1, 3
Factor 5*t**4/4 - 5*t**3/2 - 35*t**2 - 115*t/2 - 105/4.
5*(t - 7)*(t + 1)**2*(t + 3)/4
Suppose 12*b**2 - 33*b - 9 = 0. Calculate b.
-1/4, 3
Factor 12*p**5/7 + 32*p**4/7 + 4*p**3 + 8*p**2/7.
4*p**2*(p + 1)**2*(3*p + 2)/7
Solve h**3 + 3*h**2 - 10*h = 0 for h.
-5, 0, 2
Factor -2*l**3/13 - 150*l**2/13 - 3264*l/13 - 16184/13.
-2*(l + 7)*(l + 34)**2/13
Solve -12*t**4 + 32*t**3 + 44*t**2 - 112*t + 48 = 0 for t.
-2, 2/3, 1, 3
Factor w**3/9 + 47*w**2/9 - 101*w/9 - 49/3.
(w - 3)*(w + 1)*(w + 49)/9
Determine d, given that -4*d**2/7 - 648*d/7 - 92 = 0.
-161, -1
What is k in -2*k**3 - 24*k**2 + 56*k = 0?
-14, 0, 2
Factor -21*l**3 - 103*l**2 - 140*l - 36.
-(l +