i**2 + 9*i.
3*i*(i + 3)*(31*i + 1)
Solve -2*u**4/19 + 4*u**3/19 - 2*u**2/19 = 0.
0, 1
Determine x so that -4*x**5 - 44*x**4 - 92*x**3 + 44*x**2 + 96*x = 0.
-8, -3, -1, 0, 1
Factor -a**3/5 - 218*a**2/5 - 217*a/5.
-a*(a + 1)*(a + 217)/5
Find o, given that -20*o**4 + 28*o**3 + 32*o**2 - 16*o = 0.
-1, 0, 2/5, 2
What is x in 2*x**3/7 - 8*x**2/7 + 6*x/7 = 0?
0, 1, 3
Factor 4*n**3 - 2988*n**2 - 2992*n.
4*n*(n - 748)*(n + 1)
Let -j**3/6 - 17*j**2/3 - 41*j/2 - 15 = 0. Calculate j.
-30, -3, -1
Solve -2*v**2/9 - 1328*v/9 + 296 = 0 for v.
-666, 2
Solve 12*d**5 - 207*d**4 + 867*d**3 - 1404*d**2 + 876*d - 144 = 0.
1/4, 1, 2, 12
Determine f, given that 5*f**3 + 2080*f**2 + 4140*f = 0.
-414, -2, 0
Suppose -5*n**3 + 925*n**2 + 930*n = 0. What is n?
-1, 0, 186
Factor 21*x**2/4 + 165*x/2 - 24.
3*(x + 16)*(7*x - 2)/4
Factor 247*t**4 - 4*t**3 - 741*t**2 - 482*t + 8.
(t - 2)*(t + 1)**2*(247*t - 4)
Factor 2*t**5 - 34*t**4 + 174*t**3 - 182*t**2 - 392*t.
2*t*(t - 7)**2*(t - 4)*(t + 1)
Factor -2*a**5 - 20*a**4 - 64*a**3 - 64*a**2.
-2*a**2*(a + 2)*(a + 4)**2
Let -2*q**5/5 - 64*q**4/5 + 14*q**3 + 132*q**2/5 = 0. What is q?
-33, -1, 0, 2
Determine z, given that -2*z**4/17 + 22*z**3/17 + 50*z**2/17 + 26*z/17 = 0.
-1, 0, 13
Factor w**3/3 - 71*w**2/3 + 1295*w/3 - 1225/3.
(w - 35)**2*(w - 1)/3
Find o, given that 2*o**3 + 204*o**2 + 6936*o + 78608 = 0.
-34
Find u, given that 28*u**2 + 804*u - 232 = 0.
-29, 2/7
Let -v**5/2 - 3*v**4/2 + 5*v**3/2 + 3*v**2/2 - 2*v = 0. What is v?
-4, -1, 0, 1
Factor -102*n**3 + 207*n**2 - 108*n + 3.
-3*(n - 1)**2*(34*n - 1)
Factor -2*y**4/19 - 64*y**3/19 + 204*y**2/19 - 208*y/19 + 70/19.
-2*(y - 1)**3*(y + 35)/19
Let 5*l**3 - 40*l**2 + 95*l - 60 = 0. What is l?
1, 3, 4
Factor 14*n**4/15 + 58*n**3/15 + 74*n**2/15 + 2*n.
2*n*(n + 1)**2*(7*n + 15)/15
Factor -3*p**2 - 9*p + 120.
-3*(p - 5)*(p + 8)
What is i in 2*i**5/5 + 34*i**4/5 + 86*i**3/5 - 482*i**2/5 + 112*i - 40 = 0?
-10, 1
Let m**3 - 149*m**2 + 148*m = 0. What is m?
0, 1, 148
Factor 3*d**4 - 84*d**3 - 3*d**2 + 84*d.
3*d*(d - 28)*(d - 1)*(d + 1)
Factor 4*z**2/5 + 28*z - 1176/5.
4*(z - 7)*(z + 42)/5
Suppose u**3 + 31*u**2 + 58*u = 0. What is u?
-29, -2, 0
What is d in -2*d**3/7 - 96*d**2/7 - 1536*d/7 - 8192/7 = 0?
-16
Let y**5/4 - 239*y**4/4 + 9101*y**3/2 - 185671*y**2/2 - 5201195*y/4 - 14294675/4 = 0. What is y?
-5, 83
Let 5*a**5 + 65*a**4 + 185*a**3 + 15*a**2 - 270*a = 0. What is a?
-9, -3, -2, 0, 1
Find k such that -5*k**5 + 180*k**4 + 210*k**3 - 940*k**2 + 555*k = 0.
-3, 0, 1, 37
Factor 2*u**4/13 + 42*u**3/13 + 144*u**2/13 + 136*u/13.
2*u*(u + 2)**2*(u + 17)/13
Determine w so that -4*w**4 + 47*w**3 - 152*w**2 + 79*w + 30 = 0.
-1/4, 1, 5, 6
Factor c**2 - 28*c + 27.
(c - 27)*(c - 1)
Factor -g**2/9 + 25*g/9 + 26/9.
-(g - 26)*(g + 1)/9
Factor 5*i**5 + 5*i**4 - 15*i**3 - 5*i**2 + 10*i.
5*i*(i - 1)**2*(i + 1)*(i + 2)
Determine a so that -2*a**4/11 + 846*a**3/11 - 89886*a**2/11 + 89042*a/11 = 0.
0, 1, 211
Let -10*y**4 - 155*y**3 + 255*y**2 - 5*y - 85 = 0. What is y?
-17, -1/2, 1
Factor 2*r**2/5 + 516*r/5 - 4806/5.
2*(r - 9)*(r + 267)/5
Factor n**3/6 + 61*n**2/6 - 55*n.
n*(n - 5)*(n + 66)/6
Factor -2*w**2 + 18*w - 40.
-2*(w - 5)*(w - 4)
Find t such that 22*t**3/9 - 788*t**2/9 - 1816*t/9 - 304/9 = 0.
-2, -2/11, 38
Factor -2*w**4/3 - 298*w**3/3 - 296*w**2/3.
-2*w**2*(w + 1)*(w + 148)/3
What is m in -3*m**4 - 21*m**3 + 303*m**2 - 819*m + 540 = 0?
-15, 1, 3, 4
Factor -w**2 + 1860*w - 864900.
-(w - 930)**2
Factor 5*p**2 + 9890*p + 4890605.
5*(p + 989)**2
Factor 3*r**3/5 - 2466*r**2/5 - 1980*r - 9912/5.
3*(r - 826)*(r + 2)**2/5
Let i**5/7 + i**4 - 73*i**3/7 + 89*i**2/7 + 276*i/7 - 468/7 = 0. Calculate i.
-13, -2, 2, 3
Solve p**5/5 + 6*p**4/5 - 63*p**3/5 + 112*p**2/5 + 36*p/5 - 144/5 = 0.
-12, -1, 2, 3
Factor -x**4/5 + x**3/5 + 22*x**2/5 + 44*x/5 + 24/5.
-(x - 6)*(x + 1)*(x + 2)**2/5
Find y, given that -2*y**5 + 2*y**4 + 6*y**3 - 2*y**2 - 4*y = 0.
-1, 0, 1, 2
Factor x**5/4 - 5*x**4/4 + 7*x**3/4 - 3*x**2/4.
x**2*(x - 3)*(x - 1)**2/4
What is b in -15*b**3/4 + 239*b**2/4 - 929*b/4 - 63/4 = 0?
-1/15, 7, 9
Factor -v**2/4 - 43*v/4 - 41/2.
-(v + 2)*(v + 41)/4
Factor -2*b**3 + 52*b**2 - 50*b.
-2*b*(b - 25)*(b - 1)
Let -12*d**4 - 51*d**3 + 120*d**2 + 393*d + 90 = 0. What is d?
-5, -2, -1/4, 3
Factor 2*r**2/9 - 3116*r/9 + 1213682/9.
2*(r - 779)**2/9
Find b such that b**5/2 - 4*b**4 + 9*b**3/2 + 9*b**2 = 0.
-1, 0, 3, 6
Suppose -2*k**2/13 + 2*k/13 + 60/13 = 0. What is k?
-5, 6
Factor 5*k**4 - 100*k**3 - 605*k**2 - 500*k.
5*k*(k - 25)*(k + 1)*(k + 4)
Factor 4*r**5 + 172*r**4 + 2728*r**3 + 18392*r**2 + 37268*r - 58564.
4*(r - 1)*(r + 11)**4
Factor -3*s**2 - 27*s + 2730.
-3*(s - 26)*(s + 35)
Determine n so that -2*n**4/3 - 40*n**3/3 + 8*n**2/3 + 160*n/3 = 0.
-20, -2, 0, 2
Factor -f**4/9 + 67*f**3/3.
-f**3*(f - 201)/9
Suppose 2*h**5/7 + 190*h**4/7 + 4406*h**3/7 - 5574*h**2/7 - 23616*h/7 - 13824/7 = 0. Calculate h.
-48, -1, 3
Factor 2*h**3 + 26*h**2 - 228*h.
2*h*(h - 6)*(h + 19)
Factor -2*y**2 + 7*y/2 + 15/2.
-(y - 3)*(4*y + 5)/2
Let -3*u**2/7 + 174*u/7 - 2523/7 = 0. Calculate u.
29
Factor -u**2 - 1085*u/4 - 675/2.
-(u + 270)*(4*u + 5)/4
Factor 3*o**3 + 117*o**2 - 378*o.
3*o*(o - 3)*(o + 42)
Let -25*u**3/2 - 580*u**2 + 952*u - 384 = 0. What is u?
-48, 4/5
Factor -2*b**4/9 + 94*b**3/9 - 88*b**2/3.
-2*b**2*(b - 44)*(b - 3)/9
Solve -4*x**3 - 592*x**2 - 25872*x - 278784 = 0.
-66, -16
Factor -15*o**2 - 4430*o - 1475.
-5*(o + 295)*(3*o + 1)
Let 4*d**5 + 20*d**4 + 24*d**3 - 8*d**2 - 28*d - 12 = 0. Calculate d.
-3, -1, 1
Factor 3*y**3/5 - 57*y**2/5 - 267*y/5 - 207/5.
3*(y - 23)*(y + 1)*(y + 3)/5
Suppose l**3/3 - l + 2/3 = 0. What is l?
-2, 1
Solve -2*l**3/9 - 20*l**2/3 - 6*l + 116/9 = 0.
-29, -2, 1
Let 2*t**4 - 50*t**3 + 132*t**2 + 8*t - 176 = 0. What is t?
-1, 2, 22
Factor u**3 + 8*u**2 + 20*u + 16.
(u + 2)**2*(u + 4)
Factor -n**5 - 2*n**4 + 13*n**3 - 10*n**2.
-n**2*(n - 2)*(n - 1)*(n + 5)
Determine t, given that 4*t**4 + 30356*t**3 + 76780440*t**2 + 64700297200*t - 64777108000 = 0.
-2530, 1
Factor 4*c**2 - 24*c + 20.
4*(c - 5)*(c - 1)
Solve -5*k**3 + 30*k**2 - 45*k = 0 for k.
0, 3
Factor 3*x**2 - 807*x.
3*x*(x - 269)
Factor 74*o**3/15 + 14*o**2/15.
2*o**2*(37*o + 7)/15
Factor -4*d**5 + 36*d**4 - 72*d**3.
-4*d**3*(d - 6)*(d - 3)
Factor -l**2/2 + 6*l - 11/2.
-(l - 11)*(l - 1)/2
Factor -2*m**4/11 + 80*m**3/11 - 716*m**2/11 - 1680*m/11 - 882/11.
-2*(m - 21)**2*(m + 1)**2/11
Solve 4*c**3 + 8*c**2 - 4*c - 8 = 0.
-2, -1, 1
Factor a**2/4 - 5*a + 25.
(a - 10)**2/4
Suppose -2*r**2/7 - 2444*r/7 - 746642/7 = 0. Calculate r.
-611
Factor 12*t**3 + 52*t**2 - 40*t.
4*t*(t + 5)*(3*t - 2)
Factor -18*i**3/5 - 4*i**2 - 2*i/5.
-2*i*(i + 1)*(9*i + 1)/5
Find w, given that 5*w**3 - 235*w**2 - 5945*w + 294175 = 0.
-35, 41
Factor 3*z**2/5 - 90*z + 447/5.
3*(z - 149)*(z - 1)/5
Factor -4*v**3/7 + 4*v**2/7 + 68*v/7 + 60/7.
-4*(v - 5)*(v + 1)*(v + 3)/7
Factor -4*y**4 + 4*y**3 + 60*y**2 + 92*y + 40.
-4*(y - 5)*(y + 1)**2*(y + 2)
Determine q, given that 3*q**5 - 6*q**4 + 6*q**2 - 3*q = 0.
-1, 0, 1
Solve 5*s**2 - 18680*s + 17447120 = 0.
1868
Suppose -2*h**2 - 34*h + 220 = 0. Calculate h.
-22, 5
Factor -5*m**2/4 - 655*m/2 + 1315/4.
-5*(m - 1)*(m + 263)/4
Factor -2*a**5/3 - 44*a**4/3 + 196*a**3/3 - 304*a**2/3 + 206*a/3 - 52/3.
-2*(a - 1)**4*(a + 26)/3
Factor -3*m**3 + 180*m**2 - 2700*m.
-3*m*(m - 30)**2
Factor 2*d**2 + 3188*d + 1270418.
2*(d + 797)**2
Factor -5*q**4 + 150*q**3 - 1625*q**2 + 7500*q - 12500.
-5*(q - 10)**2*(q - 5)**2
Find w such that -3*w**3/4 - 1449*w**2/4 - 175689*w/4 - 174243/4 = 0.
-241, -1
Factor 2*s**4 + 28*s**3 + 24*s**2 - 28*s - 26.
2*(s - 1)*(s + 1)**2*(s + 13)
Find r such that -10*r**3/9 + 278*r**2/9 - 214*r/9 - 6 = 0.
-1/5, 1, 27
Let -3*i**3/5 - 462*i**2/5 + 93*i = 0. What is i?
-155, 0, 1
Factor 5*p**5 + 5*p**4 - 15*p**3 - 5*p**2 + 10*p.
5*p*(p - 1)**2*(p + 1)*(p + 2)
Solve 3*q**3/8 + 93*q**2/4 + 183*q/8 = 0.
-61, -1, 0
Factor -16*b**2 + 52*b - 40.
-4*(b - 2)*(4*b - 5)
Factor -2*p**2/15 + 194*p/15.
-2*p*(p - 97)/15
Find p, given that -5*p**2 + 20*p + 225 = 0.
-5, 9
Factor -2*l**3 + 28*l**2 - 114*l + 144.
-2*(l - 8)*(l - 3)**2
Let -9*l**5/4 + 33*l**4/2 + 131*l**3 - 107*l**2/2 - 307*l/4 - 15 = 0. Calculate l.
-5, -1/3, 1, 12
Factor -v**2/7 - 3268*v/7 - 2669956/7.
-(v + 1634)**2/7
Let -2*i**5/5 - 2*i**4/5 + 2*i**3 - 6*i**2/5 = 0. Calcu