88)**2/7
Factor -z**4/5 - 236*z**3/5 + z**2/5 + 236*z/5.
-z*(z - 1)*(z + 1)*(z + 236)/5
Find j such that 2*j**4/13 + 38*j**3/13 - 140*j**2/13 - 176*j/13 = 0.
-22, -1, 0, 4
Factor 2*j**3/3 + 62*j**2/3 + 598*j/3 + 1690/3.
2*(j + 5)*(j + 13)**2/3
Let f**3/9 - 6*f**2 + 17*f = 0. Calculate f.
0, 3, 51
Factor 3844*k**2 + 1984*k + 256.
4*(31*k + 8)**2
Suppose 5*f**3/4 + 55*f**2/2 + 805*f/4 + 490 = 0. Calculate f.
-8, -7
Solve -2*r**2/3 - 56*r/3 - 392/3 = 0.
-14
Factor i**4 - 5*i**3 - 8*i**2 + 12*i.
i*(i - 6)*(i - 1)*(i + 2)
Let 2*n**4/11 + 24*n**3/11 - 2*n**2/11 - 24*n/11 = 0. Calculate n.
-12, -1, 0, 1
What is g in 5*g**4 + 6*g**3 - 65*g**2 - 18*g + 72 = 0?
-4, -6/5, 1, 3
Suppose 5*a**2 + 1560*a + 3100 = 0. What is a?
-310, -2
Factor -g**3/2 + 3571*g**2/4 - 398278*g - 797449/4.
-(g - 893)**2*(2*g + 1)/4
Solve h**2/6 - 59*h/6 - 65 = 0.
-6, 65
Factor -f**2/4 - 573*f/2 - 328329/4.
-(f + 573)**2/4
Factor -20*q**3 - 545*q**2 + 5465*q + 1400.
-5*(q - 8)*(q + 35)*(4*q + 1)
Determine o so that 5*o**3/3 - 130*o**2 = 0.
0, 78
Factor -d**4 - 4*d**3 - 3*d**2.
-d**2*(d + 1)*(d + 3)
Factor 63*x**4 + 660*x**3 + 12100*x**2/7.
x**2*(21*x + 110)**2/7
Solve 2*l**2/5 - 12*l/5 - 54/5 = 0.
-3, 9
Determine i, given that -6*i**5 + 76*i**4 - 280*i**3 + 300*i**2 - 34*i - 56 = 0.
-1/3, 1, 4, 7
Factor q**3/6 - q**2/3 - 181*q/6 + 91/3.
(q - 14)*(q - 1)*(q + 13)/6
Factor -2*f**5 - 26*f**4 - 80*f**3 - 72*f**2.
-2*f**2*(f + 2)**2*(f + 9)
Factor 10*p**2 + 384*p + 152.
2*(p + 38)*(5*p + 2)
Factor -5*k**2 - 13*k/3 + 2/3.
-(k + 1)*(15*k - 2)/3
Factor 4*u**4/5 + 5*u**3 + 38*u**2/5 + 8*u/5.
u*(u + 2)*(u + 4)*(4*u + 1)/5
Determine g, given that -2*g**5/13 + 40*g**4/13 - 140*g**3/13 + 200*g**2/13 - 10*g + 32/13 = 0.
1, 16
Determine p so that -9*p**5 - 40*p**4 + 253*p**3/3 + 958*p**2/3 + 316*p/3 - 40 = 0.
-5, -2, -2/3, 2/9, 3
Factor 2*z**2/3 - 32*z/3 + 10.
2*(z - 15)*(z - 1)/3
Suppose 2*i**2/9 + 118*i/9 - 260/3 = 0. Calculate i.
-65, 6
What is m in m**5 - 13*m**3 - 16*m**2 + 12*m + 16 = 0?
-2, -1, 1, 4
Factor 5*s**2 + 9980*s + 4980020.
5*(s + 998)**2
Factor -2*o**2/9 - 80*o/9 - 74/3.
-2*(o + 3)*(o + 37)/9
Let 4*d**3 + 2440*d**2 - 4892*d + 2448 = 0. Calculate d.
-612, 1
Determine r so that 5*r**5 + 10*r**4 - 5*r**3 - 10*r**2 = 0.
-2, -1, 0, 1
Suppose m**4/4 - 15*m**3/4 - 481*m**2/4 - 2097*m/4 + 648 = 0. What is m?
-9, 1, 32
Factor -8*k**2 - 1066*k - 266.
-2*(k + 133)*(4*k + 1)
Suppose 2*v**5 + 20*v**4 + 66*v**3 + 80*v**2 + 32*v = 0. Calculate v.
-4, -1, 0
Suppose 2*o**3/13 - 12*o**2/13 + 18*o/13 = 0. What is o?
0, 3
Solve -i**2/6 + 13*i/3 - 169/6 = 0.
13
Factor -2*h**3/15 + 4*h**2/15 + 2*h/3 - 4/5.
-2*(h - 3)*(h - 1)*(h + 2)/15
Factor -4*n**5 - 540*n**4 + 1092*n**3 - 548*n**2.
-4*n**2*(n - 1)**2*(n + 137)
Factor p**3 - 18*p**2 + 96*p - 128.
(p - 8)**2*(p - 2)
Factor n**3 - 13*n**2 - n + 13.
(n - 13)*(n - 1)*(n + 1)
Find j such that 28*j**2 - 80*j + 48 = 0.
6/7, 2
Factor p**2 - 10*p - 24.
(p - 12)*(p + 2)
Solve 4*m**3/3 - 80*m**2/3 + 176*m - 384 = 0.
6, 8
Let 16*z**2/9 - 164*z/3 + 40 = 0. Calculate z.
3/4, 30
Factor -32*n**5 + 284*n**4 - 828*n**3 + 756*n**2 + 108*n.
-4*n*(n - 3)**3*(8*n + 1)
Suppose -3*h**4/8 - 15*h**3/8 - 9*h**2/4 = 0. What is h?
-3, -2, 0
Factor p**2/2 + 5*p/4 + 1/2.
(p + 2)*(2*p + 1)/4
Determine d so that 3*d**5 - 366*d**4 - 1878*d**3 - 3408*d**2 - 2661*d - 762 = 0.
-2, -1, 127
Factor 3*n**2 + 132*n + 1425.
3*(n + 19)*(n + 25)
Find u, given that -2*u**5 - 94*u**4 + 294*u**3 + 39006*u**2 - 39204*u = 0.
-33, 0, 1, 18
Determine x so that -3*x**3/2 - 18*x**2 + 39*x/2 = 0.
-13, 0, 1
Factor -b**2/10 - 67*b/5 - 133/10.
-(b + 1)*(b + 133)/10
What is v in -5*v**5 - 45*v**4 - 55*v**3 + 305*v**2 + 300*v - 500 = 0?
-5, -2, 1, 2
Determine x so that -2*x**4 + 70*x**3 - 122*x**2 - 342*x + 396 = 0.
-2, 1, 3, 33
Factor w**3/3 + 4*w**2 + 9*w.
w*(w + 3)*(w + 9)/3
Solve 4*z**4/3 - 48*z**3 + 1144*z**2/3 + 912*z + 1444/3 = 0 for z.
-1, 19
Determine a, given that -a**4 - 6*a**3 - 3*a**2 + 26*a + 24 = 0.
-4, -3, -1, 2
Factor -3*t**2 + 12084*t.
-3*t*(t - 4028)
What is u in 14*u**3 + 43*u**2 + 34*u + 8 = 0?
-2, -4/7, -1/2
Factor -2*g**3 - 100*g**2 - 94*g + 196.
-2*(g - 1)*(g + 2)*(g + 49)
Factor 3*w**3/4 + 153*w**2/2 + 7803*w/4.
3*w*(w + 51)**2/4
What is v in -v**4/11 + 72*v**3/11 - 162*v**2/11 - 46624*v/11 - 46389/11 = 0?
-21, -1, 47
Factor 2*c**4/5 - 2*c**3 - 26*c**2/5 - 14*c/5.
2*c*(c - 7)*(c + 1)**2/5
Determine j so that 5*j**2 + 150*j + 945 = 0.
-21, -9
Solve 6*r**3 - 3*r**2 - 6*r + 3 = 0.
-1, 1/2, 1
Let 8*l**4/3 + 1804*l**3/3 + 6196*l**2/3 - 4456*l/3 - 1184 = 0. Calculate l.
-222, -4, -1/2, 1
Let 5*v**3/6 - 3*v**2 - 35*v/6 = 0. Calculate v.
-7/5, 0, 5
Solve 3*x**4/5 + 54*x**3/5 + 63*x**2 + 588*x/5 = 0 for x.
-7, -4, 0
Let -114*a**5/17 - 110*a**4/17 + 346*a**3/17 + 6*a**2 - 232*a/17 + 8/17 = 0. Calculate a.
-2, -1, 2/57, 1
Let -2*r**2 - 124*r - 240 = 0. Calculate r.
-60, -2
Suppose -2*z**4/5 + 78*z**3 - 1156*z**2/5 + 768*z/5 = 0. What is z?
0, 1, 2, 192
Solve 21*k**5 + 204*k**4 - 543*k**3 + 390*k**2 - 72*k = 0.
-12, 0, 2/7, 1
Factor -w**2 - 72*w - 1296.
-(w + 36)**2
Factor -6*c**4 - 85*c**3 + 293*c**2 + 40*c - 476.
-(c - 2)**2*(c + 17)*(6*c + 7)
Determine g so that -4*g**3 - 4*g**2 + 20*g - 12 = 0.
-3, 1
Factor 2*r**2 + 1740*r + 378450.
2*(r + 435)**2
Factor -2*t**4 - 56*t**3 - 332*t**2 + 840*t - 450.
-2*(t - 1)**2*(t + 15)**2
Factor -g**2/5 + 3*g - 26/5.
-(g - 13)*(g - 2)/5
Factor -d**2/6 + 151*d/6 + 51.
-(d - 153)*(d + 2)/6
Determine o so that 2*o**5/5 + 72*o**4/5 - 422*o**3/5 - 492*o**2/5 = 0.
-41, -1, 0, 6
Determine r, given that -4*r**3 + 88*r**2 - 468*r = 0.
0, 9, 13
Factor 12*l**3/7 + 2332*l**2/7 + 113684*l/7 + 37636/7.
4*(l + 97)**2*(3*l + 1)/7
Suppose -4*l**5/9 + 32*l**4/3 - 736*l**3/9 + 640*l**2/3 - 1600*l/9 = 0. Calculate l.
0, 2, 10
Determine j so that -48*j**5/19 + 182*j**4/19 - 262*j**3/19 + 174*j**2/19 - 50*j/19 + 4/19 = 0.
1/8, 2/3, 1
Suppose 6*p**4/11 - 14*p**3 - 56*p**2/11 + 104*p/11 = 0. What is p?
-1, 0, 2/3, 26
Factor -3*g**3 + 9*g + 6.
-3*(g - 2)*(g + 1)**2
Factor -3*j**3 - 33*j**2 + 1035*j + 12825.
-3*(j - 19)*(j + 15)**2
Suppose -t**3/3 + t**2 + 10*t/3 = 0. What is t?
-2, 0, 5
Factor 3*d**5/7 - 6*d**4/7 + 3*d**3/7.
3*d**3*(d - 1)**2/7
Solve 4*u**2 - 2216*u + 306916 = 0.
277
Suppose f**3/2 + 151*f**2/2 + 879*f/2 + 1305/2 = 0. Calculate f.
-145, -3
Let -4*x**3 - 628*x**2 - 1856*x - 1232 = 0. What is x?
-154, -2, -1
Determine f so that 6*f**5 + 21*f**4 + 6*f**3 - 9*f**2 = 0.
-3, -1, 0, 1/2
Solve v**3/5 + 28*v**2/5 - 288*v/5 = 0.
-36, 0, 8
What is h in h**3/5 + 1916*h**2/5 + 917764*h/5 = 0?
-958, 0
Find s such that s**4/3 - 24*s**3 + 203*s**2/3 + 92*s = 0.
-1, 0, 4, 69
Factor l**2 - 71*l + 1204.
(l - 43)*(l - 28)
Factor -n**2/3 + 78*n + 235/3.
-(n - 235)*(n + 1)/3
Find r, given that -r**4/2 - 5*r**3/2 - r**2 + 4*r = 0.
-4, -2, 0, 1
Determine y so that -y**2/5 - 29*y/5 - 54/5 = 0.
-27, -2
Factor v**5 - 15*v**4 + 77*v**3 - 165*v**2 + 126*v.
v*(v - 7)*(v - 3)**2*(v - 2)
Find x such that -4*x**2/7 + 15*x/7 + 4/7 = 0.
-1/4, 4
Let -2*k**4 + 158*k**3 + 6*k**2 - 470*k - 316 = 0. Calculate k.
-1, 2, 79
Let -d**5 + 6*d**4 + 7*d**3 - 48*d**2 + 36*d = 0. Calculate d.
-3, 0, 1, 2, 6
Let -5*s**2 - 60*s - 100 = 0. Calculate s.
-10, -2
Find u, given that -u**2/7 - 45*u/7 + 94/7 = 0.
-47, 2
Factor 2*m**4/5 + 48*m**3/5 - 144*m**2/5 - 5184*m/5 + 23328/5.
2*(m - 6)**2*(m + 18)**2/5
Determine l so that -324*l**5 - 3708*l**4 - 10024*l**3 - 9104*l**2 - 2720*l - 256 = 0.
-8, -2, -1, -2/9
Factor 5*g**4 + 25*g**3 - 290*g**2 + 440*g.
5*g*(g - 4)*(g - 2)*(g + 11)
Factor 2*s**3 - 2*s**2 - 2*s + 2.
2*(s - 1)**2*(s + 1)
Solve -134*a**2/9 - 314*a/3 - 28/9 = 0.
-7, -2/67
Let -2*g**2/13 - 3384*g/13 - 3382/13 = 0. What is g?
-1691, -1
Factor 55*d**2 + 120*d + 20.
5*(d + 2)*(11*d + 2)
Factor -v**3 + 123*v**2 - 3843*v + 3721.
-(v - 61)**2*(v - 1)
Factor 2*f**2 - 12*f.
2*f*(f - 6)
Solve -20*z**4 + 48*z**3 + 464*z**2 - 192*z = 0 for z.
-4, 0, 2/5, 6
Let -q**3 - 808*q**2 - 163216*q = 0. What is q?
-404, 0
Solve -2*o**2 + 74*o = 0 for o.
0, 37
Determine w so that 5*w**2/4 - 255*w/4 + 180 = 0.
3, 48
What is m in 4*m**3/7 + 24*m**2/7 = 0?
-6, 0
What is l in 3*l**3/8 + 3*l**2/2 - 87*l/8 + 9 = 0?
-8, 1, 3
Determine v, given that -3*v**2 + 78*v = 0.
0, 26
Find m, given that 5*m**2/3 - 1795*m/3 - 3610/3 = 0.
-2, 3