 6*k**2/7 + 15*k.
-3*k*(k - 5)*(k + 7)/7
Solve -7*x**4/4 - 4*x**3 - 11*x**2/4 - x/2 = 0.
-1, -2/7, 0
Let -5*i**4 - 165*i**3 - 1150*i**2 = 0. Calculate i.
-23, -10, 0
Determine r so that -r**3/8 + r**2/4 + r = 0.
-2, 0, 4
Factor -5*n**2 - 95*n - 240.
-5*(n + 3)*(n + 16)
Factor -q**2 + 2*q + 3.
-(q - 3)*(q + 1)
Determine a, given that 2*a**2 - 58*a = 0.
0, 29
What is j in 3*j**3 + 930*j**2 = 0?
-310, 0
Factor -3*w**3 - 1611*w**2 - 1608*w.
-3*w*(w + 1)*(w + 536)
Solve -4*t**5 + 28*t**4 - 28*t**3 - 204*t**2 + 576*t - 432 = 0.
-3, 2, 3
Factor g**2/4 + 44*g + 1936.
(g + 88)**2/4
Factor -5*i**3 - 40*i**2 - 105*i - 90.
-5*(i + 2)*(i + 3)**2
Factor -4*y**2 - 120*y + 13500.
-4*(y - 45)*(y + 75)
Factor -4*r**4 - 12*r**3 + 252*r**2 + 1404*r + 1944.
-4*(r - 9)*(r + 3)**2*(r + 6)
What is h in 3*h**4 + 48*h**3 - 105*h**2 + 54*h = 0?
-18, 0, 1
What is l in -6*l**5/11 - 26*l**4/11 + 20*l**3/11 = 0?
-5, 0, 2/3
What is f in 4*f**4 + 52*f**3 - 28*f**2 - 388*f - 312 = 0?
-13, -2, -1, 3
Let 3*u**5 + 3*u**4 - 18*u**3 - 12*u**2 + 24*u = 0. Calculate u.
-2, 0, 1, 2
Let 3*m**5/5 + 24*m**4/5 - 33*m**3/5 - 54*m**2/5 = 0. Calculate m.
-9, -1, 0, 2
Find u such that -2*u**3 - 40*u**2 - 154*u + 484 = 0.
-11, 2
Determine b so that -b**3/2 + 39*b**2/2 - 399*b/2 + 361/2 = 0.
1, 19
Find p, given that -3*p**5/4 - 13*p**4/2 - 55*p**3/4 - 11*p**2 - 3*p = 0.
-6, -1, -2/3, 0
Determine h, given that 4*h**4 - 24*h**3 - 12*h**2 + 64*h + 48 = 0.
-1, 2, 6
Factor j**2/3 - 16/3.
(j - 4)*(j + 4)/3
Factor -p**4/6 - 97*p**3/6 + p**2/2 + 293*p/6 + 97/3.
-(p - 2)*(p + 1)**2*(p + 97)/6
Factor c**2/3 - 8*c/3 - 3.
(c - 9)*(c + 1)/3
Find n, given that -3*n**4/5 - 9*n**3 - 246*n**2/5 - 576*n/5 - 96 = 0.
-5, -4, -2
Suppose -4*t**3 + 4*t**2 = 0. What is t?
0, 1
Factor -3*w**3 - 18*w**2 + 903*w - 882.
-3*(w - 14)*(w - 1)*(w + 21)
Let 2*u**3/9 + 2*u**2/9 = 0. What is u?
-1, 0
Find y such that 2*y**2/13 - 1324*y/13 - 2656/13 = 0.
-2, 664
Find j such that 4*j**5/21 + 26*j**4/7 + 94*j**3/7 + 158*j**2/21 - 114*j/7 - 60/7 = 0.
-15, -3, -2, -1/2, 1
Factor 11*g**2/3 - 331*g/3 + 10.
(g - 30)*(11*g - 1)/3
Factor d**3/4 - 29*d**2 - 361*d/4 + 119.
(d - 119)*(d - 1)*(d + 4)/4
Factor -2*i**5 + 4*i**4 + 128*i**3 + 320*i**2.
-2*i**2*(i - 10)*(i + 4)**2
Factor -2*g**5/7 + 30*g**4/7 - 52*g**3/7.
-2*g**3*(g - 13)*(g - 2)/7
Suppose -28*u**4/9 + 1112*u**3/9 - 3712*u**2/9 - 128*u = 0. What is u?
-2/7, 0, 4, 36
Determine p, given that -3*p**4/7 - 15*p**3/7 + 3*p**2/7 + 15*p/7 = 0.
-5, -1, 0, 1
Find q, given that -5*q**5 - 3710*q**4 - 915125*q**3 - 74423560*q**2 + 151607360*q - 76264960 = 0.
-248, 1
Factor -3*b**3/2 - 1347*b**2/2 - 2685*b/2 - 1341/2.
-3*(b + 1)**2*(b + 447)/2
Solve a**4/2 - 6663*a**3/2 + 14798523*a**2/2 - 10955839861*a/2 = 0 for a.
0, 2221
Let 2*i**2/3 - 128*i/3 - 280 = 0. Calculate i.
-6, 70
Solve -60*d**5 - 326*d**4 - 132*d**3 - 10*d**2 = 0 for d.
-5, -1/3, -1/10, 0
What is s in 4*s**3 + 1912*s**2 - 3836*s + 1920 = 0?
-480, 1
Factor 12*k**3 + 52*k**2 + 52*k + 12.
4*(k + 1)*(k + 3)*(3*k + 1)
Determine z, given that z**3/3 - 4*z**2/3 - 71*z/3 - 22 = 0.
-6, -1, 11
Determine w, given that 2*w**2/3 - 8*w - 30 = 0.
-3, 15
Suppose -b**4 - 2*b**3 + 13*b**2 - 10*b = 0. Calculate b.
-5, 0, 1, 2
Solve -3*v**2/5 - 7*v/5 - 2/5 = 0.
-2, -1/3
Determine j, given that 3*j**2 + 219*j - 222 = 0.
-74, 1
Find l, given that -4*l**3 - 280*l**2 - 3952*l + 34656 = 0.
-38, 6
Determine t, given that t**4 - 310*t**3 + 24025*t**2 = 0.
0, 155
Factor -2*q**3 + 6*q - 4.
-2*(q - 1)**2*(q + 2)
What is j in -j**5 + 6*j**4 - 10*j**3 + 11*j - 6 = 0?
-1, 1, 2, 3
Factor s**2/5 - 101*s/5 - 102/5.
(s - 102)*(s + 1)/5
Find u, given that -u**2/4 + 7*u - 49 = 0.
14
Suppose -3*t**5/7 + 15*t**4/7 - 9*t**3/7 - 15*t**2/7 + 12*t/7 = 0. What is t?
-1, 0, 1, 4
Suppose -3*x**2 + 24*x - 45 = 0. Calculate x.
3, 5
Suppose -3*z**4 + 39*z**3/2 + 39*z**2 - 24*z = 0. What is z?
-2, 0, 1/2, 8
Factor -2*t**4/19 - 1970*t**3/19 - 484126*t**2/19 + 486098*t/19.
-2*t*(t - 1)*(t + 493)**2/19
Solve -j**4 - 13*j**3 + 205*j**2 - 575*j = 0.
-23, 0, 5
Factor -2*f**3/7 + 16*f**2/7 + 32*f + 512/7.
-2*(f - 16)*(f + 4)**2/7
Factor 4*k**2 + 8*k + 4.
4*(k + 1)**2
Factor -3*t**3 - 96*t**2 - 93*t.
-3*t*(t + 1)*(t + 31)
Suppose 26*o**4/3 + 128*o**3/3 - 38*o**2 - 512*o/3 + 40/3 = 0. Calculate o.
-5, -2, 1/13, 2
Let -2*a**2 - 74*a + 328 = 0. Calculate a.
-41, 4
Find a, given that -2*a**2 + 40*a - 38 = 0.
1, 19
Solve -3*a**4 + 645*a**3 + 1953*a**2 + 1959*a + 654 = 0 for a.
-1, 218
What is r in 3*r**3/7 + 9*r**2/7 - 72*r/7 + 12 = 0?
-7, 2
Factor -2*b**4 + 50*b**3 - 86*b**2 - 138*b.
-2*b*(b - 23)*(b - 3)*(b + 1)
Factor -5*g**3 - 5845*g**2 - 1711120*g - 1705280.
-5*(g + 1)*(g + 584)**2
Factor -6656*b**3 - 5312*b**2 + 742*b - 24.
-2*(13*b + 12)*(16*b - 1)**2
What is g in g**4 - 10*g**3 + 24*g**2 = 0?
0, 4, 6
Factor 3*w**3/5 + 12*w**2/5 - 3*w.
3*w*(w - 1)*(w + 5)/5
Factor q**3/5 - 2532*q**2/5 + 2137008*q/5 - 601211584/5.
(q - 844)**3/5
What is f in -3*f**4 - 156*f**3 - 2754*f**2 - 17340*f - 14739 = 0?
-17, -1
Factor -r**2/2 + 23*r - 529/2.
-(r - 23)**2/2
Suppose -i**5/2 + i**4 + 3*i**3 - 10*i**2 + 19*i/2 - 3 = 0. What is i?
-3, 1, 2
Let 4*f**2 + 24*f - 28 = 0. What is f?
-7, 1
Factor 2*j**4 - 104*j**3 + 1352*j**2.
2*j**2*(j - 26)**2
Determine a, given that 8*a**5 + 122*a**4 - 234*a**3 + 70*a**2 + 34*a = 0.
-17, -1/4, 0, 1
Factor -l**4/3 - 20*l**3/3 - 67*l**2/3 - 16*l.
-l*(l + 1)*(l + 3)*(l + 16)/3
Solve 2*v**5/9 - 20*v**4/9 - 2*v**3/3 + 280*v**2/9 + 392*v/9 = 0 for v.
-2, 0, 7
Factor 2*p**2/7 + 16*p/7 - 40/7.
2*(p - 2)*(p + 10)/7
Factor 2*g**2/9 - 40*g/9 + 200/9.
2*(g - 10)**2/9
Factor m**5/4 + 3*m**4/2 + 3*m**3/4 - 5*m**2/2.
m**2*(m - 1)*(m + 2)*(m + 5)/4
Factor -u**3/6 - 25*u**2/6 + 13*u/3.
-u*(u - 1)*(u + 26)/6
Suppose 42*q**2/5 + 387*q/5 + 81/5 = 0. What is q?
-9, -3/14
Factor -3*r**4 + 15*r**3 + 24*r**2 - 144*r.
-3*r*(r - 4)**2*(r + 3)
Solve 2*q**5/13 + 6*q**4/13 - 8*q**2/13 = 0 for q.
-2, 0, 1
Factor -c**2 - 17*c - 30.
-(c + 2)*(c + 15)
What is g in g**3 + 33*g**2 + 288*g + 256 = 0?
-16, -1
Factor b**4 - 11*b**3 - 42*b**2 - 4*b + 56.
(b - 14)*(b - 1)*(b + 2)**2
Factor 5*d**4 - 85*d**3 + 400*d**2 - 320*d.
5*d*(d - 8)**2*(d - 1)
Determine h so that 15*h**4 - 1010*h**3 - 3875*h**2 - 2130*h = 0.
-3, -2/3, 0, 71
What is n in 15*n**3 - 321*n**2 + 960*n - 756 = 0?
7/5, 2, 18
Find r such that r**4/3 - 58*r**3/3 + 367*r**2 - 6440*r/3 - 7600/3 = 0.
-1, 19, 20
Let -h**5/4 + 4*h**4 + 3*h**3/2 - 89*h**2 + 635*h/4 - 75 = 0. What is h?
-5, 1, 4, 15
Solve 15*x**4/2 + 1101*x**3/2 + 2583*x**2/2 + 1923*x/2 + 213 = 0 for x.
-71, -1, -2/5
Factor 3*w**2 + 21126*w + 37192323.
3*(w + 3521)**2
Factor -v**2/4 - 743*v/2 - 552049/4.
-(v + 743)**2/4
Factor -2*g**2/3 - 32*g/3 - 56/3.
-2*(g + 2)*(g + 14)/3
Find l, given that 3*l**3 + 135*l**2 = 0.
-45, 0
What is h in 21*h**5 + 3123*h**4 - 894*h**3 = 0?
-149, 0, 2/7
Determine n, given that -n**2/4 - 25*n - 625 = 0.
-50
Find p, given that 3*p**4 - 75*p**3 + 471*p**2 - 1125*p + 918 = 0.
2, 3, 17
Factor -3*g**3 - 690*g**2 + 1389*g - 696.
-3*(g - 1)**2*(g + 232)
Let 2*u**5/3 + 640*u**4/9 + 406*u**3/9 - 644*u**2/3 - 2552*u/9 - 848/9 = 0. What is u?
-106, -1, -2/3, 2
Factor -i**2/3 - 34*i/3 - 31.
-(i + 3)*(i + 31)/3
Factor -2*x**3/5 + 34*x**2/5 - 32*x + 128/5.
-2*(x - 8)**2*(x - 1)/5
Factor -15*y**2 + 800*y + 540.
-5*(y - 54)*(3*y + 2)
Solve -243*y**5/5 + 702*y**4 + 15972*y**3/5 - 7608*y**2/5 + 864*y/5 = 0 for y.
-4, 0, 2/9, 18
Find x such that 4*x**4 + 31400*x**3 + 61653892*x**2 + 123213600*x + 61591104 = 0.
-3924, -1
Factor 5*b**3 - 110*b**2 + 700*b - 1000.
5*(b - 10)**2*(b - 2)
Determine l so that l**4/8 - 3*l**3/2 - 27*l**2/8 - 7*l/4 = 0.
-1, 0, 14
Find x, given that -12*x**5 - 45*x**4 - 6*x**3 + 159*x**2 + 216*x + 84 = 0.
-2, -7/4, -1, 2
Solve -2*m**5 + 8*m**4 - 4*m**3 - 8*m**2 + 6*m = 0 for m.
-1, 0, 1, 3
Factor 10*a**3 + 44*a**2 + 16*a.
2*a*(a + 4)*(5*a + 2)
Let n**2 - 39*n - 82 = 0. Calculate n.
-2, 41
Suppose -2*c**5 + 2*c**4 = 0. Calculate c.
0, 1
Factor -k**3 - 14*k**2 - 53*k/4 - 13/4.
-(k + 13)*(2*k + 1)**2/4
What is l in 4*l**5 - 12*l**4 - 28*l**3 + 44*l**2 + 24*l - 32 = 0?
-2, -1, 1, 4
What is d in 2*d**3/3 - 3736*d**2/3 + 7466*d/3 - 1244 = 0?
1, 1866
Factor v**3/3 - 36*v - 144.
(v - 12)*(v + 6)**2/3
Suppose -u**2/2 - 237*u/2 - 235 = 0. Calculate u.
-235, -2