 + 242*p**2/3 - 2480*p + 2400 = 0. Calculate p.
1, 60
Let -1029*a**5/5 + 1176*a**4/5 + 483*a**3/5 - 402*a**2/5 - 204*a/5 - 24/5 = 0. What is a?
-2/7, 1
Factor 5*g**5/4 - 23*g**4/4 + 35*g**3/4 - 17*g**2/4 - g + 1.
(g - 2)*(g - 1)**3*(5*g + 2)/4
What is i in i**5/3 + 4*i**4/3 - 5*i**3 - 10*i**2/3 + 44*i/3 - 8 = 0?
-6, -2, 1, 2
Factor -s**2/5 + 1166*s/5 - 2328/5.
-(s - 1164)*(s - 2)/5
Solve 2*n**5/11 + 72*n**4/11 + 892*n**3/11 + 4424*n**2/11 + 5586*n/11 - 10976/11 = 0 for n.
-16, -7, 1
Factor -h**3/6 + h**2/6 + 2*h/3 - 2/3.
-(h - 2)*(h - 1)*(h + 2)/6
Suppose -p**3/2 - 2809*p**2/2 - 987012*p - 985608 = 0. What is p?
-1404, -1
Let -14*w**5 - 60*w**4 - 16*w**3 + 224*w**2 + 288*w + 64 = 0. Calculate w.
-2, -2/7, 2
Factor 3*w**4/2 - 42*w**3 + 297*w**2 + 726*w - 19965/2.
3*(w - 11)**3*(w + 5)/2
Factor 7*l**2/5 - 2*l/5 - 1.
(l - 1)*(7*l + 5)/5
Suppose 2*j**4/11 + 8*j**3/11 - 10*j**2/11 = 0. Calculate j.
-5, 0, 1
Suppose -4*v**2 - 96*v + 1024 = 0. What is v?
-32, 8
Determine k, given that 3*k**4 - 21*k**3 + 42*k**2 - 24*k = 0.
0, 1, 2, 4
Factor y**2/4 + 93*y/2.
y*(y + 186)/4
Suppose 20*k**4 - 52*k**3 + 12*k**2 + 52*k - 32 = 0. What is k?
-1, 1, 8/5
What is h in -129605*h**3 + 264040*h**2 - 9705*h + 90 = 0?
3/161, 2
Factor 4*y**3/3 + 16*y**2/3 - 4*y/3 - 16/3.
4*(y - 1)*(y + 1)*(y + 4)/3
Factor -h**2 - 169*h - 168.
-(h + 1)*(h + 168)
Determine q, given that -278258*q**2/15 + 2984*q/5 - 24/5 = 0.
6/373
What is y in -2*y**2 - 108*y - 1458 = 0?
-27
Suppose i**2/8 + 17*i/4 + 93/8 = 0. Calculate i.
-31, -3
Find b such that 2*b**3 - 20*b**2 + 46*b - 28 = 0.
1, 2, 7
Solve f**4 + 415*f**3/4 - 677*f**2 + 4611*f/4 - 495/2 = 0.
-110, 1/4, 3
Find y, given that -y**5/7 - 9*y**4/7 - 19*y**3/7 + 9*y**2/7 + 20*y/7 = 0.
-5, -4, -1, 0, 1
What is k in 5*k**4 - 1890*k**3 + 184185*k**2 - 1054620*k + 1556820 = 0?
3, 186
Solve 2*c**5 + 2*c**4 - 138*c**3 - 698*c**2 - 1160*c - 600 = 0 for c.
-5, -3, -2, -1, 10
Find y, given that -14*y**5/9 - 110*y**4/9 - 250*y**3/9 - 130*y**2/9 + 8*y/3 = 0.
-4, -3, -1, 0, 1/7
Factor 4*s**2 - 416*s + 10816.
4*(s - 52)**2
Factor 2*c**3/15 + 346*c**2/15 + 17222*c/15 + 12482.
2*(c + 15)*(c + 79)**2/15
Solve a**5/2 - 3*a**4 + 9*a**3/2 + 2*a**2 - 6*a = 0.
-1, 0, 2, 3
Let -l**4/7 - 2*l**3 - 72*l**2/7 - 160*l/7 - 128/7 = 0. Calculate l.
-4, -2
Factor -4*x**2/3 - 100*x/3 + 72.
-4*(x - 2)*(x + 27)/3
Determine w so that w**2/8 + 27*w/8 = 0.
-27, 0
Find i, given that i**5 + 25*i**4 + 47*i**3 + 23*i**2 = 0.
-23, -1, 0
Factor -2*j**2/15 + 2*j/15 + 112/15.
-2*(j - 8)*(j + 7)/15
Suppose -16*y**2/3 + 28*y/3 + 8/3 = 0. What is y?
-1/4, 2
Factor 5*c**4 + 30*c**3 + 45*c**2 - 20*c - 60.
5*(c - 1)*(c + 2)**2*(c + 3)
Let -4*k**4/21 + 74*k**3/21 - 108*k**2/7 + 48*k/7 = 0. Calculate k.
0, 1/2, 6, 12
Solve -3*m**2/5 + 69*m/5 - 54 = 0.
5, 18
Factor -4*n**3 + 12168*n**2 - 12338352*n + 4170362976.
-4*(n - 1014)**3
What is c in 6*c**5/11 - 30*c**4/11 + 6*c**3/11 + 126*c**2/11 - 108*c/11 = 0?
-2, 0, 1, 3
Factor -n**3/3 + 205*n**2/3 - 407*n/3 + 203/3.
-(n - 203)*(n - 1)**2/3
Determine k, given that 3*k**5 + 33*k**4 + 27*k**3 - 33*k**2 - 30*k = 0.
-10, -1, 0, 1
What is y in 2*y**4/5 + 4*y**3/5 = 0?
-2, 0
Find y, given that -y**2/2 + 13*y = 0.
0, 26
Determine j so that 4*j**4/3 - 10*j**3/3 - 2*j**2 = 0.
-1/2, 0, 3
Factor -1444*f**5 - 8360*f**4 - 11188*f**3 + 2640*f**2 - 144*f.
-4*f*(f + 3)**2*(19*f - 2)**2
Let 2*d**5/3 + 50*d**4/3 - 1228*d**3/3 + 3364*d**2/3 - 3254*d/3 + 1066/3 = 0. What is d?
-41, 1, 13
Factor 5*w**2 + 175*w + 1430.
5*(w + 13)*(w + 22)
Solve 8*t**5 - 156*t**4 + 668*t**3 - 744*t**2 + 224*t = 0 for t.
0, 1/2, 1, 4, 14
Factor -35*u**3 - 255*u**2 - 70*u.
-5*u*(u + 7)*(7*u + 2)
Factor q**2/5 - 26*q/5 - 56/5.
(q - 28)*(q + 2)/5
Factor g**5 - 8*g**4 + 18*g**3 - 16*g**2 + 5*g.
g*(g - 5)*(g - 1)**3
Factor 3*z**5/4 + 9*z**4/4 - 51*z**3/2 - 147*z**2 - 270*z - 168.
3*(z - 7)*(z + 2)**3*(z + 4)/4
Factor -3*c**2 + 510*c - 6123.
-3*(c - 157)*(c - 13)
Determine j so that -j**2/10 + 8/5 = 0.
-4, 4
Let 4*l**4/11 + 26*l**3/11 - 52*l**2/11 - 32*l/11 = 0. What is l?
-8, -1/2, 0, 2
Factor -4*j**2 - 368*j + 1140.
-4*(j - 3)*(j + 95)
Suppose -3*k**3 - 75*k**2 + 3*k + 75 = 0. What is k?
-25, -1, 1
Solve -1715*b**4 - 20335*b**3 - 16590*b**2 - 4660*b - 440 = 0.
-11, -2/7
Suppose -2*k**2/5 + 224*k/5 - 294 = 0. Calculate k.
7, 105
Determine j so that -j**5/4 - j**4/2 + 5*j**3/2 + 2*j**2 - 33*j/4 + 9/2 = 0.
-3, 1, 2
Factor 5*a**3 - 130*a**2 + 355*a - 230.
5*(a - 23)*(a - 2)*(a - 1)
Factor -3*r**3/4 + 1371*r**2/2 + 5493*r/4 + 687.
-3*(r - 916)*(r + 1)**2/4
What is d in 2*d**5 + 18*d**4 + 48*d**3 + 32*d**2 = 0?
-4, -1, 0
Factor -8*f**3/5 - 16154*f**2/5 - 1629736*f + 1224120.
-2*(f + 1010)**2*(4*f - 3)/5
What is g in 3878*g**3 + 4958*g**2 + 1072*g - 8 = 0?
-1, -2/7, 2/277
Determine p so that 2*p**3 - 2*p**2 - 40*p = 0.
-4, 0, 5
Determine x, given that x**4/4 - 15*x**3/2 - 24*x**2 + 2432*x - 18432 = 0.
-18, 16
Determine u, given that -10*u**5 - 95*u**4 - 325*u**3 - 500*u**2 - 340*u - 80 = 0.
-4, -2, -1, -1/2
Suppose -2*i**5 + 82*i**4 - 282*i**3 - 538*i**2 + 740*i = 0. What is i?
-2, 0, 1, 5, 37
Factor -l**3/3 - 14*l**2/3 + l/3 + 14/3.
-(l - 1)*(l + 1)*(l + 14)/3
Factor c**3/4 - 5*c**2/4 - 21*c.
c*(c - 12)*(c + 7)/4
Solve 3*a**4/4 - 9*a**3/2 + 9*a**2/4 + 15*a/2 = 0.
-1, 0, 2, 5
What is k in -3*k**2 + 6714*k - 3756483 = 0?
1119
Determine m, given that 5*m**2 + 35*m - 150 = 0.
-10, 3
Suppose -6*p**5/5 + 6*p**4/5 + 66*p**3/5 + 42*p**2/5 - 12*p - 48/5 = 0. Calculate p.
-2, -1, 1, 4
Determine d so that 4*d**5 + 220*d**4 + 4380*d**3 + 37620*d**2 + 129600*d + 151632 = 0.
-18, -13, -3
Solve 2*p**4 - 38*p**3/3 + 28*p**2 - 24*p + 16/3 = 0 for p.
1/3, 2
Factor o**3/7 + 9*o**2/7 + 15*o/7 - 25/7.
(o - 1)*(o + 5)**2/7
Determine n so that -350*n**5 + 4230*n**4 - 12716*n**3 + 10632*n**2 - 3440*n + 384 = 0.
2/7, 2/5, 3, 8
What is s in s**2/3 - 367*s/3 + 122 = 0?
1, 366
Find j such that -4*j**3 - 496*j**2 + 1020*j + 1512 = 0.
-126, -1, 3
Factor -5*l**2/8 - 343*l/8 + 69/4.
-(l + 69)*(5*l - 2)/8
Factor -2*v**2/13 - 2*v + 60/13.
-2*(v - 2)*(v + 15)/13
Let 2*x**2/11 + 482*x/11 - 44 = 0. What is x?
-242, 1
Factor -3*n**3 - 27*n**2 + 3*n + 27.
-3*(n - 1)*(n + 1)*(n + 9)
Let -r**2 - 2*r + 8 = 0. Calculate r.
-4, 2
Find c such that 21*c**4/8 + 2013*c**3/8 + 1665*c**2/8 - 4269*c/8 + 285/4 = 0.
-95, -2, 1/7, 1
Factor -c**3/11 - 18*c**2/11 + 40*c/11.
-c*(c - 2)*(c + 20)/11
Let 2*a**5 + 28*a**4 + 152*a**3 + 400*a**2 + 512*a + 256 = 0. Calculate a.
-4, -2
Find b such that -b**2/2 - 53*b + 107/2 = 0.
-107, 1
Suppose 2*a**3/9 + 52*a**2/9 - 170*a/9 + 116/9 = 0. What is a?
-29, 1, 2
What is t in 3*t**3/4 - 17*t**2/4 + 9*t/4 + 5/4 = 0?
-1/3, 1, 5
Factor -5*z**4 + 173*z**3 + 440*z**2 + 148*z.
-z*(z - 37)*(z + 2)*(5*z + 2)
Find y, given that -5*y**2 - 2320*y - 269120 = 0.
-232
Let 84*b**2 - 256*b - 80 = 0. What is b?
-2/7, 10/3
Find r, given that -2*r**5/7 - 38*r**4/7 + 12*r**3 - 4*r**2/7 - 82*r/7 + 6 = 0.
-21, -1, 1
Factor -2*n**2/5 - 2*n/15 + 4.
-2*(n - 3)*(3*n + 10)/15
Factor -10*z**4/7 + 2*z**3/7 + 8*z**2/7.
-2*z**2*(z - 1)*(5*z + 4)/7
Let n**2 + 31*n + 240 = 0. What is n?
-16, -15
Factor -5*a**2 - 1165*a - 2310.
-5*(a + 2)*(a + 231)
What is u in 18*u**2/13 + 478*u/13 - 496/13 = 0?
-248/9, 1
Suppose -4*j**4 - 19*j**3 + 37*j**2 + 184*j - 48 = 0. Calculate j.
-4, 1/4, 3
Factor 5*u**2 - 32550*u + 52975125.
5*(u - 3255)**2
Let -4*j**2 + 524*j + 2160 = 0. What is j?
-4, 135
What is t in -4*t**2 - 143*t - 105 = 0?
-35, -3/4
Suppose -9*r**5/5 + 213*r**4/5 - 141*r**3 + 927*r**2/5 - 546*r/5 + 24 = 0. Calculate r.
2/3, 1, 20
Factor n**4 + 35*n**3 + 34*n**2.
n**2*(n + 1)*(n + 34)
Factor -10*f**2 + 102*f - 20.
-2*(f - 10)*(5*f - 1)
Factor 4*p**2.
4*p**2
Suppose 2*k**5 - 90*k**4 + 864*k**3 + 3448*k**2 + 384*k - 4608 = 0. What is k?
-2, 1, 24
What is t in t**2/2 - 133*t + 17689/2 = 0?
133
Factor 3*s**3/2 - 195*s**2.
3*s**2*(s - 130)/2
Factor -27*i**4 + 18*i**2 + 8*i + 1.
-(i - 1)*(3*i + 1)**3
Factor -2*u**2/5 + 14*u/5 - 4.
-2*(u - 5)*(u - 2)/5
Solve 2*j**3/5 + 12*j**2/5 = 0.
-6, 0
Factor c**4 - 82*c**3 + 1596*c**2 + 3528*c.
c*(c - 42)**2*(c + 2)
Factor -2*k**5/7.
-2*k**5/7
Let -l**5/4 + 3*l**4/4 + 4*l**3 + 3*l**2 = 0. Calculate l.
-2, -1, 0, 6
Factor n**3/4 - 399*n**2/2 + 39999*n - 79202.
(n - 398)**2*(n - 2)/4
Factor 3*h**3/8 - 45*h**2 - 