 520*c/7 + 128/7 = 0. What is c?
-16, -2, -1/4, 2
Find z, given that 3*z**3 - 579*z**2 + 20088*z + 804816 = 0.
-23, 108
Find t, given that t**2 - 284*t + 843 = 0.
3, 281
Find o, given that -o**3 + 4*o**2 + 35*o - 150 = 0.
-6, 5
Factor 3*z**5/2 + 345*z**4/2 + 9381*z**3/2 - 31329*z**2/2.
3*z**2*(z - 3)*(z + 59)**2/2
Find h such that 4*h**5 + 304*h**4 + 8512*h**3 + 104896*h**2 + 518848*h + 681472 = 0.
-22, -8, -2
Factor -z**2/2 + 117*z - 13689/2.
-(z - 117)**2/2
Solve -3*x**5/8 + 5*x**4/8 + 13*x**3/8 - x**2/8 - 3*x/4 = 0 for x.
-1, 0, 2/3, 3
Suppose -5*v**5 - 295*v**4 - 1090*v**3 + 610*v**2 + 3255*v - 2475 = 0. Calculate v.
-55, -3, 1
Factor 3*s**4 + 111*s**3 + 1287*s**2 + 3549*s - 13182.
3*(s - 2)*(s + 13)**3
Factor -2*a**2/3 + 2*a/3.
-2*a*(a - 1)/3
Solve 2*o**3 - 148*o**2 + 3480*o - 25200 = 0 for o.
14, 30
Suppose r**2 - 50*r - 159 = 0. What is r?
-3, 53
Let -x**4/5 + 1205*x**3 - 9078168*x**2/5 + 9072144*x/5 = 0. What is x?
0, 1, 3012
Factor -c**2/2 - 11*c/2.
-c*(c + 11)/2
Suppose 7*a**3/8 - 3921*a**2/4 + 10073*a/8 - 1119/4 = 0. What is a?
2/7, 1, 1119
Suppose 9245*i**2 + 1720*i + 80 = 0. What is i?
-4/43
Let -42*w**5 + 549*w**4 + 1251*w**3 - 471*w**2 - 1017*w - 270 = 0. What is w?
-2, -1/2, -3/7, 1, 15
Determine i, given that -2*i**4 - 98*i**3 - 366*i**2 - 270*i = 0.
-45, -3, -1, 0
Factor v**5/5 - 6*v**4/5 + 9*v**3/5 + 4*v**2/5 - 12*v/5.
v*(v - 3)*(v - 2)**2*(v + 1)/5
Determine i so that -4*i**3 - 140*i**2 + 784*i - 640 = 0.
-40, 1, 4
Factor 2*d**2/7 + 318*d/7 - 320/7.
2*(d - 1)*(d + 160)/7
Determine i, given that -4*i**5 + 208*i**4 - 200*i**3 - 208*i**2 + 204*i = 0.
-1, 0, 1, 51
Find x, given that -3*x**4/2 - 25*x**3 + 191*x**2/2 - 89*x + 20 = 0.
-20, 1/3, 1, 2
Solve 15*y**5 - 201*y**4 - 612*y**3 - 204*y**2 + 192*y = 0 for y.
-2, -1, 0, 2/5, 16
Solve 2*c**2/7 - 96*c/7 + 94/7 = 0 for c.
1, 47
Factor h**4/7 - 22*h**3 + 5609*h**2/7 + 24964*h/7.
h*(h - 79)**2*(h + 4)/7
Let 4*r**3 - 28*r**2 - 32*r = 0. Calculate r.
-1, 0, 8
Solve 3*w**4 - 48*w**3 + 141*w**2 + 48*w - 144 = 0 for w.
-1, 1, 4, 12
Factor -5*m**4 + 60*m**3 - 20*m**2 - 960*m - 1280.
-5*(m - 8)**2*(m + 2)**2
Suppose 2*y**2/7 + 12*y/7 - 80/7 = 0. Calculate y.
-10, 4
Find r, given that r**3 + 113*r**2 + 856*r + 1680 = 0.
-105, -4
Determine p so that p**2/4 - 125*p/4 - 325/2 = 0.
-5, 130
Factor -2*w**2 + 2216*w/3 - 246.
-2*(w - 369)*(3*w - 1)/3
Solve 7*d**3/3 - 1381*d**2/3 - 2392*d/3 + 796/3 = 0 for d.
-2, 2/7, 199
Determine v, given that -4*v**5 + 176*v**4 + 744*v**3 + 1136*v**2 + 764*v + 192 = 0.
-1, 48
Determine s, given that -5*s**2 + 930*s - 43245 = 0.
93
Factor -5*o**3/2 - 115*o**2/2.
-5*o**2*(o + 23)/2
Determine c, given that -28*c**3 + 372*c**2 + 4600*c - 1344 = 0.
-8, 2/7, 21
Factor 4*s**3 + 2648*s**2.
4*s**2*(s + 662)
Factor 3*b**3/5 - 27*b**2/5 - 387*b/5 - 357/5.
3*(b - 17)*(b + 1)*(b + 7)/5
Factor q**2 + 4*q - 12.
(q - 2)*(q + 6)
Let -118*b**2/3 + 2*b = 0. Calculate b.
0, 3/59
Factor -n**5 + 3*n**4 - 2*n**3 - 2*n**2 + 3*n - 1.
-(n - 1)**4*(n + 1)
Find g, given that 3*g**2/2 + 87*g/2 + 150 = 0.
-25, -4
Factor v**5 + 274*v**4 + 273*v**3.
v**3*(v + 1)*(v + 273)
Determine r, given that -3*r**3/2 - 459*r**2/2 - 894*r = 0.
-149, -4, 0
Factor 2*c**4/23 - 56*c**3/23 + 106*c**2/23 - 52*c/23.
2*c*(c - 26)*(c - 1)**2/23
Determine c so that 2*c**2/5 + 3786*c/5 + 3784/5 = 0.
-1892, -1
Factor -2*a**5/7 + 3844*a**4/7 - 2465282*a**3/7 + 529207040*a**2/7 - 1051033600*a/7 + 524288000/7.
-2*(a - 640)**3*(a - 1)**2/7
Factor -13*x**5/3 + 56*x**4/3 - 94*x**3/3 + 76*x**2/3 - 29*x/3 + 4/3.
-(x - 1)**4*(13*x - 4)/3
Determine i so that 4*i**5 + 400*i**4 - 1668*i**3 - 400*i**2 + 1664*i = 0.
-104, -1, 0, 1, 4
Suppose s**3/5 + 8*s**2/5 + 13*s/5 + 6/5 = 0. What is s?
-6, -1
Factor -z**5/4 + 3*z**4/2 + 15*z**3/4 + 2*z**2.
-z**2*(z - 8)*(z + 1)**2/4
Factor -t**5/2 - 267*t**4/2 - 12013*t**3 - 375848*t**2 - 1045440*t - 681472.
-(t + 1)*(t + 2)*(t + 88)**3/2
Let 6*r**4/11 - 306*r**3/11 + 4038*r**2/11 - 3150*r/11 - 7500/11 = 0. Calculate r.
-1, 2, 25
Factor f**2/2 + 117*f + 13689/2.
(f + 117)**2/2
Factor -4*d**3 - 272*d**2 + 284*d + 552.
-4*(d - 2)*(d + 1)*(d + 69)
Factor p**4/6 - 2*p**3/3 + 5*p**2/6 - p/3.
p*(p - 2)*(p - 1)**2/6
Determine g, given that -3*g**5/2 + 653*g**4/4 + 2115*g**3/4 + 365*g**2 - 111*g - 112 = 0.
-2, -1, -2/3, 1/2, 112
Factor 4*f**4/3 + 73*f**3/6 + 43*f**2/2 + 71*f/6 + 7/6.
(f + 1)**2*(f + 7)*(8*f + 1)/6
Solve 24*s**4 - 32*s**3 - 210*s**2 - 174*s - 40 = 0.
-5/3, -1/2, 4
Let -40*m**4 + 178*m**3 + 406*m**2 - 208*m + 24 = 0. What is m?
-2, 1/5, 1/4, 6
What is s in -s**5/2 - 3*s**4/2 + 3*s**3/2 + 11*s**2/2 + 3*s = 0?
-3, -1, 0, 2
Determine r so that -r**4/3 + r**3 = 0.
0, 3
Factor q**4/3 - q**3 + 4*q/3.
q*(q - 2)**2*(q + 1)/3
Factor 42*l**2/17 - 508*l/17 + 48/17.
2*(l - 12)*(21*l - 2)/17
Factor -2*n**2/5 - 16*n/5 - 14/5.
-2*(n + 1)*(n + 7)/5
Factor -20*b**4 - 52*b**3 + 24*b**2.
-4*b**2*(b + 3)*(5*b - 2)
Find k such that 11*k**4/5 - 56*k**3/5 - 67*k**2/5 = 0.
-1, 0, 67/11
Solve 2*f**5 - 104*f**4 + 1442*f**3 - 2084*f**2 - 5800*f + 10000 = 0 for f.
-2, 2, 25
Suppose -2*h**4 + 30*h**3 + 8*h**2 - 120*h = 0. What is h?
-2, 0, 2, 15
Factor 2*b**2 + 394*b/9 - 44/9.
2*(b + 22)*(9*b - 1)/9
Determine g, given that g**2/3 - 3*g + 14/3 = 0.
2, 7
Let -c**4/3 + 5*c**3/3 - c**2/3 - 7*c + 6 = 0. Calculate c.
-2, 1, 3
What is l in 5*l**3 + 17995*l**2 + 16199995*l + 16182005 = 0?
-1799, -1
Suppose -3*d**3/2 - 15*d**2 - 27*d/2 = 0. Calculate d.
-9, -1, 0
Let 2*l**2 + 3926*l - 3928 = 0. Calculate l.
-1964, 1
Let -256*o**5 + 192*o**4 - 48*o**3 + 4*o**2 = 0. What is o?
0, 1/4
What is p in -p**3/4 - p**2/2 + 20*p = 0?
-10, 0, 8
What is y in -y**5/2 - 113*y**4/2 - 3135*y**3/2 + 3249*y**2/2 = 0?
-57, 0, 1
Factor 4*k**3 - 40*k**2 + 92*k - 56.
4*(k - 7)*(k - 2)*(k - 1)
Suppose a**3 - 17*a**2 + 22*a + 120 = 0. What is a?
-2, 4, 15
Factor l**4/5 + 48*l**3/5 + 663*l**2/5 + 2068*l/5 + 1452/5.
(l + 1)*(l + 3)*(l + 22)**2/5
Factor -r**4/7 - r**3 + 39*r**2/7 - 53*r/7 + 22/7.
-(r - 2)*(r - 1)**2*(r + 11)/7
Suppose 3*r**3 + 23*r**2/2 + 10*r - 2 = 0. What is r?
-2, 1/6
Let l**2/8 + 301*l/8 = 0. Calculate l.
-301, 0
Factor 4*w**3 + 104*w**2 + 368*w + 352.
4*(w + 2)**2*(w + 22)
Factor -5*f**4 + 34*f**3 - 73*f**2 + 44*f + 12.
-(f - 3)*(f - 2)**2*(5*f + 1)
Find j, given that -100*j**5 - 304*j**4 + 908*j**3 - 504*j**2 = 0.
-126/25, 0, 1
Factor 5*l**3 - 190*l**2 - 605*l - 410.
5*(l - 41)*(l + 1)*(l + 2)
Factor 2*h**2 - 26*h + 24.
2*(h - 12)*(h - 1)
Factor -3*a**3/2 - 6273*a**2/2 - 3282345*a/2 - 3276075/2.
-3*(a + 1)*(a + 1045)**2/2
Factor -3*b**4 - 16*b**3 - 15*b**2 + 18*b.
-b*(b + 3)**2*(3*b - 2)
Factor -3*o**4 + 156*o**3 - 450*o**2 + 444*o - 147.
-3*(o - 49)*(o - 1)**3
What is q in 90*q**3/23 + 17206*q**2/23 + 3048*q/23 - 1528/23 = 0?
-191, -2/5, 2/9
Factor g**5/3 - g**4 - 5*g**3/3 + g**2 + 4*g/3.
g*(g - 4)*(g - 1)*(g + 1)**2/3
Solve -5*a**4 - 25*a**3 + 20*a**2 + 220*a + 240 = 0 for a.
-4, -2, 3
Solve 3*q**3/2 + 240*q**2 + 951*q/2 + 237 = 0.
-158, -1
Factor 2*y**4/7 + 80*y**3/7 - 528*y**2/7 + 1088*y/7 - 736/7.
2*(y - 2)**3*(y + 46)/7
Factor x**2/2 - 9*x/2.
x*(x - 9)/2
Factor 2*j**3/5 + 58*j**2/5 + 252*j/5 + 288/5.
2*(j + 2)*(j + 3)*(j + 24)/5
Suppose 3*u**3 + 12*u**2 - 153*u + 270 = 0. Calculate u.
-10, 3
Solve l**2 - 28*l - 93 = 0 for l.
-3, 31
Factor -3*d**3 + 12*d.
-3*d*(d - 2)*(d + 2)
Let -5*f**3 + 135*f**2 - 130*f = 0. Calculate f.
0, 1, 26
Factor -12*m**3 - 239*m**2 - 204*m + 95.
-(m + 19)*(3*m - 1)*(4*m + 5)
Factor 4*r**5 + 20*r**4 - 160*r**2 - 320*r - 192.
4*(r - 3)*(r + 2)**4
Factor -z**5 + 4*z**4 + 11*z**3 - 30*z**2.
-z**2*(z - 5)*(z - 2)*(z + 3)
Let -5*b**3 + 28*b**2 - 28*b - 16 = 0. Calculate b.
-2/5, 2, 4
Let -2*d**4 - 92*d**3 - 1440*d**2 - 8100*d - 6750 = 0. Calculate d.
-15, -1
Suppose -2*r**2/15 - 2*r/15 + 8/5 = 0. What is r?
-4, 3
Factor 18*i**3/7 - 542*i**2/7 + 4110*i/7 - 450/7.
2*(i - 15)**2*(9*i - 1)/7
Solve v**2/4 - 691*v/4 + 687 = 0.
4, 687
Find q such that -2*q**2/9 - 44*q/9 + 560/3 = 0.
-42, 20
Factor -q**2/4 + 44*q + 177/4.
-(q - 177)*(q + 1)/4
Find h, given that -3*h**5/2 - 45*h**4/4 + 165*h**2/4 + 63*h/2 = 0.
-7, -3/2, -1, 0, 2
Solve g**4/3 + 10*g**3 + 29*g**2/3 = 0 for g.
-29, -1, 0
Determine j, given that 3*j**3 - 81*j**2 = 0.
0, 27
Let -3*s**2 - 36*s = 0. Calculate s.
-12, 0
Solve -5*d**2 + 20*d - 15 =