, 172
Factor -3*n**4 + 30*n**3 - 27*n**2.
-3*n**2*(n - 9)*(n - 1)
Suppose 10*i**4 + 198*i**3 + 130*i**2 - 414*i + 76 = 0. Calculate i.
-19, -2, 1/5, 1
What is m in 2*m**5/7 - 92*m**4/7 + 506*m**3/7 - 152*m**2 + 968*m/7 - 320/7 = 0?
1, 2, 40
Factor -n**3/4 - 63*n**2/4 - 1323*n/4 - 9261/4.
-(n + 21)**3/4
Solve j**3 + 63*j**2 - j - 63 = 0 for j.
-63, -1, 1
Factor -3*b**2 + 36*b - 81.
-3*(b - 9)*(b - 3)
Find z such that -18*z**5 - 59*z**4 - 4*z**3 + 31*z**2 - 6*z = 0.
-3, -1, 0, 2/9, 1/2
Factor 2*r**3/5 + 18*r**2/5 + 6*r - 10.
2*(r - 1)*(r + 5)**2/5
Factor -4*v**2 + 32*v - 28.
-4*(v - 7)*(v - 1)
What is v in 5*v**2 + 560*v = 0?
-112, 0
Factor -6*a**5 + 15*a**4 - 9*a**3.
-3*a**3*(a - 1)*(2*a - 3)
Suppose -24*z**5 + 170*z**4 - 140*z**3 - 110*z**2 + 80*z + 24 = 0. Calculate z.
-2/3, -1/4, 1, 6
Determine f so that 2*f**3/3 - 196*f**2/3 + 1664*f - 3072 = 0.
2, 48
Determine o so that -o**2 - 422*o - 44521 = 0.
-211
Let -5*x**2 + 440*x + 445 = 0. What is x?
-1, 89
Solve -5*z**3 - 55*z**2 + 60*z = 0 for z.
-12, 0, 1
Factor -25*s**5 + 176*s**4 - 457*s**3 + 518*s**2 - 220*s + 8.
-(s - 2)**3*(s - 1)*(25*s - 1)
Factor -z**2/5 + 42*z/5 - 117/5.
-(z - 39)*(z - 3)/5
Solve -2*l**4 - 18*l**3 - 40*l**2 - 24*l = 0.
-6, -2, -1, 0
Factor -2*j**2/11 + 102*j/11 + 104/11.
-2*(j - 52)*(j + 1)/11
What is o in -o**4 - 17*o**3 - 68*o**2 - 100*o - 48 = 0?
-12, -2, -1
Factor -3*v**2/4 - 207*v/2 - 14283/4.
-3*(v + 69)**2/4
Solve -y**3/3 - 6*y**2 - 11*y/3 + 34 = 0.
-17, -3, 2
Find p such that -2*p**4/3 - 72*p**3 - 842*p**2/3 - 348*p - 416/3 = 0.
-104, -2, -1
Let g**5/5 - 11*g**3/5 + 6*g**2/5 + 28*g/5 - 24/5 = 0. Calculate g.
-3, -2, 1, 2
Factor a**3/3 + 26*a**2/3 + 169*a/3.
a*(a + 13)**2/3
Factor -3*j**3 + 4623*j**2 - 1783320*j + 1778700.
-3*(j - 770)**2*(j - 1)
Factor 5*x**5 - 450*x**4 - 1395*x**3.
5*x**3*(x - 93)*(x + 3)
What is a in -2*a**3/7 - 4*a**2 - 10*a - 44/7 = 0?
-11, -2, -1
Let -5*l**4/6 - 5*l**3 - 10*l**2 - 20*l/3 = 0. Calculate l.
-2, 0
Determine v so that 147*v**5/2 - 504*v**4 + 2199*v**3/2 - 693*v**2 - 174*v + 36 = 0.
-2/7, 1/7, 2, 3
Factor -2*l**3 - 48*l**2 + 218*l - 168.
-2*(l - 3)*(l - 1)*(l + 28)
Factor -3*a**4/4 + 75*a**3/2 - 2379*a**2/4 + 3042*a.
-3*a*(a - 24)*(a - 13)**2/4
Let -3*x**5 - 585*x**4 - 38022*x**3 - 823290*x**2 + 38025*x + 823875 = 0. Calculate x.
-65, -1, 1
Factor -n**4 - 128*n**3 + 130*n**2 + 128*n - 129.
-(n - 1)**2*(n + 1)*(n + 129)
Let 3*w**2/2 - 126*w + 480 = 0. Calculate w.
4, 80
Factor 2*r**3 - 306*r**2 + 15606*r - 265302.
2*(r - 51)**3
Factor -4*n**3/9 + 2936*n**2/9 - 2932*n/9.
-4*n*(n - 733)*(n - 1)/9
Let -3*u**5 - 15*u**4 + 75*u**3 + 195*u**2 - 360*u - 756 = 0. What is u?
-7, -2, 3
Find j, given that j**5 - 25*j**4 + 193*j**3 - 523*j**2 + 562*j - 208 = 0.
1, 2, 8, 13
Factor -3*v**3 + 633*v**2 - 1245*v - 1881.
-3*(v - 209)*(v - 3)*(v + 1)
Let g**2 - 617*g - 618 = 0. What is g?
-1, 618
Let 3*a**5 - 18*a**4 + 15*a**3 + 36*a**2 = 0. What is a?
-1, 0, 3, 4
Factor f**4/3 + 19*f**3/3 + 42*f**2 + 108*f + 72.
(f + 1)*(f + 6)**3/3
Solve -15*t**4 + 40*t**3 - 35*t**2 + 10*t = 0 for t.
0, 2/3, 1
Factor 5*u**2 + 175*u - 2250.
5*(u - 10)*(u + 45)
Find s such that 2*s**4/7 + 26*s**3/7 + 96*s**2/7 + 72*s/7 = 0.
-6, -1, 0
Factor -4*a**2/5 + 52*a/5.
-4*a*(a - 13)/5
Solve -10*h**3/17 - 3596*h**2/17 - 5720*h/17 + 2864/17 = 0 for h.
-358, -2, 2/5
Let -3*w**2/2 - 15*w/2 - 9 = 0. What is w?
-3, -2
Suppose -j**2/4 + 6*j + 64 = 0. What is j?
-8, 32
Solve a**2/6 - 119*a/6 + 113 = 0 for a.
6, 113
Suppose 2*m**5/11 - 14*m**4/11 - 136*m**3/11 + 168*m**2/11 + 288*m/11 = 0. Calculate m.
-6, -1, 0, 2, 12
Find s such that 5*s**3 + 45*s**2 + 75*s + 35 = 0.
-7, -1
Let a**3 + 206*a**2 + 409*a + 204 = 0. What is a?
-204, -1
Find b, given that 5*b**5 + 80*b**4 + 140*b**3 - 10*b**2 - 145*b - 70 = 0.
-14, -1, 1
Find b such that -2*b**5/5 + 16*b**4 - 160*b**3 - 512*b**2 + 8192*b + 131072/5 = 0.
-4, 16
Factor 5*f**2 + 30*f + 25.
5*(f + 1)*(f + 5)
Determine p, given that 25*p**5 - 5*p**4 - 75*p**3 - 35*p**2 + 10*p = 0.
-1, 0, 1/5, 2
Factor -5*r**3/2 - 27*r**2 + 71*r/2 - 6.
-(r - 1)*(r + 12)*(5*r - 1)/2
Factor -393*v**2/4 + 3141*v/4 + 6.
-3*(v - 8)*(131*v + 1)/4
What is d in 3*d**4 - 12*d**3 - 153*d**2 - 258*d - 120 = 0?
-4, -1, 10
Determine j, given that -j**3 + 5*j**2 - 7*j + 3 = 0.
1, 3
Factor -3*p**2/4 + 27*p/2 + 189/4.
-3*(p - 21)*(p + 3)/4
Let -128*m**5 + 9440*m**4 - 172856*m**3 - 44398*m**2 + 10804*m + 2738 = 0. Calculate m.
-1/4, 1/4, 37
Factor 5*w**2 + 2045*w + 2040.
5*(w + 1)*(w + 408)
Factor k**3/6 + 5*k**2/2 + 9*k/2 + 13/6.
(k + 1)**2*(k + 13)/6
Solve 2*w**2/3 - 896*w/3 + 100352/3 = 0 for w.
224
What is a in -6*a**3 - 89*a**2/5 - 57*a/5 + 2/5 = 0?
-2, -1, 1/30
Solve -26*o**4/11 - 20*o**3/11 + 6*o**2/11 = 0 for o.
-1, 0, 3/13
What is f in -100*f**3/3 - 1550*f**2 + 162*f + 932/3 = 0?
-233/5, -2/5, 1/2
Factor -4*s**2 + 64*s - 156.
-4*(s - 13)*(s - 3)
Solve 5*k**2 - 645*k = 0 for k.
0, 129
Let 4*v**3 - 28*v + 24 = 0. Calculate v.
-3, 1, 2
Factor 2*c**4/9 + 10*c**3/9 - 8*c**2/9 - 88*c/9 - 32/3.
2*(c - 3)*(c + 2)**2*(c + 4)/9
Factor -h**2/4 + 553*h - 305809.
-(h - 1106)**2/4
Suppose 2*u**5/11 - 1622*u**4/11 - 2*u**3/11 + 1622*u**2/11 = 0. Calculate u.
-1, 0, 1, 811
Let 56*j**2/5 - 6*j/5 - 2/5 = 0. What is j?
-1/7, 1/4
Let -k**2/7 - 9*k/7 + 52/7 = 0. What is k?
-13, 4
Solve v**4/4 + 29*v**3/2 + 54*v**2 = 0.
-54, -4, 0
Suppose 2*f**5 - 58*f**4 + 630*f**3 - 3150*f**2 + 7128*f - 5832 = 0. What is f?
2, 3, 6, 9
Determine i so that -2*i**3/5 + 12*i**2/5 - 16*i/5 = 0.
0, 2, 4
Find w, given that w**4/3 - 44*w**3/3 + 628*w**2/3 - 1056*w + 1728 = 0.
4, 18
Factor 18*x**5/19 + 50*x**4/19 + 32*x**3/19.
2*x**3*(x + 1)*(9*x + 16)/19
What is s in -336*s**4 + 1564*s**3 - 1444*s**2 - 656*s - 48 = 0?
-1/4, -2/21, 2, 3
Solve -3*g**3/2 - 108*g**2 - 2430*g - 17496 = 0 for g.
-36, -18
Let 2*c**5 - 16*c**4 + 24*c**3 + 4*c**2 - 26*c + 12 = 0. Calculate c.
-1, 1, 6
Let -2*l**2/9 - 56*l/3 + 58 = 0. What is l?
-87, 3
What is d in d**2 - 256*d + 759 = 0?
3, 253
Factor -y**4/3 - 176*y**3/3 - 7198*y**2/3 + 16016*y - 24843.
-(y - 3)**2*(y + 91)**2/3
Find l, given that l**4/9 - 79*l**3/9 - 82*l**2/9 + 160*l/9 = 0.
-2, 0, 1, 80
Solve 5*g**5 - 260*g**4/3 - 635*g**3 - 1150*g**2/3 = 0.
-5, -2/3, 0, 23
Factor -g**3 - 25*g**2 - 134*g + 160.
-(g - 1)*(g + 10)*(g + 16)
Find r, given that 2*r**3/13 - 28*r**2/13 + 2*r = 0.
0, 1, 13
Suppose -i**2/4 + 2595*i/4 - 2593/2 = 0. What is i?
2, 2593
What is p in -p**3/5 + 17*p**2/5 + 64*p/5 - 16 = 0?
-4, 1, 20
Let 3*d**3 - 117*d**2 + 1521*d - 6591 = 0. Calculate d.
13
Factor -2*u**2/15 + 548*u/15 + 1504/5.
-2*(u - 282)*(u + 8)/15
Factor 3*h**2/7 + 9*h + 270/7.
3*(h + 6)*(h + 15)/7
Find r, given that 54*r**5 + 1296*r**4 + 10656*r**3 + 31372*r**2 + 5290*r - 48668 = 0.
-23/3, -2, 1
Factor -3125*t**3 + 8875*t**2 + 1480*t + 60.
-5*(t - 3)*(25*t + 2)**2
Solve -3*c**4 - 42*c**3 - 180*c**2 - 312*c - 192 = 0.
-8, -2
Find i such that -4*i**4/5 - 35*i**3 - 1892*i**2/5 + 484*i/5 = 0.
-22, 0, 1/4
Let r**4/3 - 22*r**3/3 - 7*r**2/3 + 148*r/3 + 44 = 0. Calculate r.
-2, -1, 3, 22
Find d such that -3*d**3/7 - 9*d**2/7 - 6*d/7 = 0.
-2, -1, 0
Find x, given that -3*x**3/2 - 16923*x**2/2 - 23857197*x/2 + 23874123/2 = 0.
-2821, 1
Factor 3*n**3 - 54*n**2 + 99*n - 48.
3*(n - 16)*(n - 1)**2
Solve 6*f**3/7 - 578*f**2/7 - 390*f/7 + 194/7 = 0 for f.
-1, 1/3, 97
Let 16*j**3 + 64348*j**2 - 80456*j + 16092 = 0. Calculate j.
-4023, 1/4, 1
Factor -2*r**5 + 1204*r**4 - 179992*r**3 - 364816*r**2.
-2*r**2*(r - 302)**2*(r + 2)
Factor 2*u**2/9 + 308*u/9 - 208/3.
2*(u - 2)*(u + 156)/9
Factor 3*k**4/7 - 9*k**2 - 60*k/7.
3*k*(k - 5)*(k + 1)*(k + 4)/7
Factor 4*u**4 - 408*u**3 + 10400*u**2 + 408*u - 10404.
4*(u - 51)**2*(u - 1)*(u + 1)
Solve -4*j**2/7 - 11968*j/7 - 8952064/7 = 0.
-1496
What is m in -4*m**2 - 20*m = 0?
-5, 0
What is a in -3*a**3 + 2064*a**2 + 4137*a + 2070 = 0?
-1, 690
Determine j, given that -16*j**3 - 204*j**2 - 300*j + 88 = 0.
-11, -2, 1/4
Determine b, given that b**2/8 - 85*b - 2049/8 = 0.
-3, 683
Factor -5*j**3/2 + 700*j**2 - 1395*j/2.
-5*j*(j - 279)*(j - 1)/2
Factor -q**4/4 + q**3/4 + q**2 - q.
-q*(q - 2)*(q - 1)*(q + 2)/4
Factor 2*x**4/9 + 3898*x**3/9 + 281666*x**2 + 551773310*x/9 + 1093437796/9.
2*(x + 2)*(x + 649)**3/9
Factor 2*m**2 + 704*m + 61952.
2*(m + 176)**2
Determine u, given that 