3 + 182*c**2 - 238*c + 48.
2*(c - 1)*(c + 24)*(4*c - 1)
Factor -3*z**4/2 - 9*z**3/2 + 3*z**2/2 + 9*z/2.
-3*z*(z - 1)*(z + 1)*(z + 3)/2
Factor x**3/4 + 15*x**2/4 - 4*x.
x*(x - 1)*(x + 16)/4
Factor v**4 + 2*v**3 + v**2.
v**2*(v + 1)**2
Solve -v**2/10 - v/5 = 0 for v.
-2, 0
Determine r so that -3*r**3 + 429*r**2 + 3*r - 429 = 0.
-1, 1, 143
What is j in -j**2/5 - 73*j + 1104/5 = 0?
-368, 3
Factor -4*w**5 + 1916*w**4 - 230396*w**3 + 228484*w**2.
-4*w**2*(w - 239)**2*(w - 1)
Factor 98*d**2/3 + 1904*d + 27744.
2*(7*d + 204)**2/3
Factor -3*r**4 + 27*r**3 - 39*r**2 - 135*r + 150.
-3*(r - 5)**2*(r - 1)*(r + 2)
Determine r, given that 2*r**2/5 - 26*r/5 - 96/5 = 0.
-3, 16
Factor -2*s**2/11 + 118*s/11 - 1560/11.
-2*(s - 39)*(s - 20)/11
Factor h**3/4 - 3*h**2/4.
h**2*(h - 3)/4
Suppose 4*i**2 - 1832*i + 209764 = 0. What is i?
229
Factor d**3/2 + 7*d**2/2 + 2*d - 6.
(d - 1)*(d + 2)*(d + 6)/2
What is t in -4*t**3 + 92*t**2 - 364*t - 2028 = 0?
-3, 13
Factor 4*k**2/5 + 24*k + 756/5.
4*(k + 9)*(k + 21)/5
Solve 5*t**2 + 120*t - 125 = 0 for t.
-25, 1
Let 27*s**3 + 42*s**2 + 16*s = 0. Calculate s.
-8/9, -2/3, 0
Determine m so that 5*m**2 - 150*m = 0.
0, 30
Solve 16*h**5 + 132*h**4 - 1664*h**3 - 552*h**2 + 1648*h + 420 = 0.
-15, -1, -1/4, 1, 7
Determine p, given that 2*p**3/7 + 12*p**2/7 + 18*p/7 = 0.
-3, 0
Let 6*n**2/7 - 24*n/7 + 18/7 = 0. Calculate n.
1, 3
Determine b, given that -3*b**2 + 57*b + 60 = 0.
-1, 20
Solve -2*v**3/9 + 14*v**2/9 - 28*v/9 + 16/9 = 0 for v.
1, 2, 4
Find z such that 4*z**4/3 - 56*z**3/3 + 244*z**2/3 - 112*z + 48 = 0.
1, 6
Find u such that -u**3/3 - 19*u**2/3 + 15*u + 21 = 0.
-21, -1, 3
Determine n, given that 5*n**3 - 58*n**2 + 136*n + 64 = 0.
-2/5, 4, 8
Find v, given that v**5/3 - 13*v**4 + 73*v**3/3 + 13*v**2 - 74*v/3 = 0.
-1, 0, 1, 2, 37
Factor a**3 - 116*a**2 + 3364*a.
a*(a - 58)**2
Factor 15*x**4 + 20*x**3 - 25*x**2 - 10*x.
5*x*(x - 1)*(x + 2)*(3*x + 1)
Factor -2*q**5/7 + 14*q**4 - 372*q**3/7 + 548*q**2/7 - 362*q/7 + 90/7.
-2*(q - 45)*(q - 1)**4/7
Suppose g**3/9 + 31*g**2/9 + 37*g/3 + 9 = 0. Calculate g.
-27, -3, -1
Factor b**4 + 3*b**3 - 9*b**2 + 5*b.
b*(b - 1)**2*(b + 5)
Factor 2*s**3/3 - 2124*s**2 + 4246*s - 6368/3.
2*(s - 3184)*(s - 1)**2/3
Factor -3*l**4 + 15*l**3 + 21*l**2 - 15*l - 18.
-3*(l - 6)*(l - 1)*(l + 1)**2
What is g in 5*g**3 - 170*g**2 + 1325*g - 3000 = 0?
5, 24
Solve g**2/2 + 13*g/2 + 18 = 0 for g.
-9, -4
Determine x so that -3*x**4/4 + 27*x**3/2 - 327*x**2/4 + 189*x - 147 = 0.
2, 7
Determine i, given that -15*i**5 + 81*i**4 + 69*i**3 - 81*i**2 - 54*i = 0.
-1, -3/5, 0, 1, 6
Factor 3*d**2/8 + 20865*d/8 + 10431/4.
3*(d + 1)*(d + 6954)/8
Determine f, given that -4*f**2 + 1032*f - 66564 = 0.
129
What is j in 10*j**5/3 + 214*j**4/3 + 578*j**3 + 6410*j**2/3 + 9800*j/3 + 1000 = 0?
-6, -5, -2/5
Let -x**2/10 - 7*x - 69/10 = 0. What is x?
-69, -1
Determine c, given that 4*c**2 + 5296*c + 5292 = 0.
-1323, -1
Factor 20*g**4 - 308*g**3 + 400*g**2 - 112*g.
4*g*(g - 14)*(g - 1)*(5*g - 2)
What is b in 4*b**3 + 88*b**2 + 540*b + 936 = 0?
-13, -6, -3
Factor -t**2 - 251*t - 250.
-(t + 1)*(t + 250)
Factor -3*l**4/8 + 30*l**3 - 600*l**2.
-3*l**2*(l - 40)**2/8
Let -s**3 + 89*s**2 + 760*s + 1552 = 0. Calculate s.
-4, 97
Factor 3*x**3 + 12*x**2 + 15*x + 6.
3*(x + 1)**2*(x + 2)
Determine j so that 2*j**4 + 1464*j**3 + 269372*j**2 + 534360*j + 266450 = 0.
-365, -1
Solve 2*z**2 + 28*z + 26 = 0 for z.
-13, -1
Factor -m**2 - 208*m.
-m*(m + 208)
What is c in 2*c**4/7 - 40*c**3/7 + 198*c**2/7 + 40*c/7 - 200/7 = 0?
-1, 1, 10
Factor 25972146*j**3 - 1149210*j**2 + 16950*j - 250/3.
2*(339*j - 5)**3/3
Factor 3*b**2/2 - 3*b/2 - 30.
3*(b - 5)*(b + 4)/2
Suppose m**4/4 - 19*m**3/4 + 115*m**2/4 - 225*m/4 = 0. What is m?
0, 5, 9
Factor 3*l**2/5 + 93*l/5 - 96/5.
3*(l - 1)*(l + 32)/5
Suppose 4*n**5 + 8*n**4 - 8*n**3 - 16*n**2 + 4*n + 8 = 0. Calculate n.
-2, -1, 1
Factor 2*t**2/7 - 325*t/7 - 163/7.
(t - 163)*(2*t + 1)/7
Factor 3*w**4 - 84*w**3 + 729*w**2 - 1680*w - 2496.
3*(w - 13)*(w - 8)**2*(w + 1)
Determine o so that -4*o**5/3 - 100*o**4/3 + 36*o**3 + 100*o**2/3 - 104*o/3 = 0.
-26, -1, 0, 1
Factor -8*u**5 + 79*u**4 + 298*u**3 + 340*u**2 + 142*u + 13.
-(u - 13)*(u + 1)**3*(8*u + 1)
Factor 84*m**3 - 80*m**2 - 156*m - 40.
4*(m - 2)*(3*m + 1)*(7*m + 5)
Factor 2*t**2 - 140*t + 768.
2*(t - 64)*(t - 6)
Factor 25*y**4 + 14455*y**3 + 17274*y**2 - 20764*y + 4616.
(y + 2)*(y + 577)*(5*y - 2)**2
What is z in -2*z**5/5 + 8*z**4/5 - 6*z**3/5 - 8*z**2/5 + 8*z/5 = 0?
-1, 0, 1, 2
Factor -5*z**2 + 1970*z - 194045.
-5*(z - 197)**2
Determine t so that t**3 + 125*t**2/2 + 992*t + 961/2 = 0.
-31, -1/2
Let -2*w**5/7 + 4*w**4/7 + 12*w**3/7 - 16*w**2/7 - 10*w/7 + 12/7 = 0. Calculate w.
-2, -1, 1, 3
Factor -2*b**2/11 - 4*b/11 + 16/11.
-2*(b - 2)*(b + 4)/11
Suppose q**5 - 17*q**4 + 87*q**3 - 127*q**2 - 88*q + 144 = 0. What is q?
-1, 1, 4, 9
Let -a**2/3 - 469*a/3 + 790 = 0. Calculate a.
-474, 5
Factor -l**3 + 12*l**2 - 45*l + 54.
-(l - 6)*(l - 3)**2
Find t such that -8*t**3/5 + 6*t**2 + 144*t/5 - 544/5 = 0.
-17/4, 4
Suppose -4*k**3 + 14*k**2 + 48*k - 90 = 0. What is k?
-3, 3/2, 5
Factor x**2 - 144*x + 5184.
(x - 72)**2
Suppose 2*u**2/15 + 208*u/15 - 214/5 = 0. What is u?
-107, 3
Factor -2*t**3/7 - 6*t**2/7 + 50*t/7 - 6.
-2*(t - 3)*(t - 1)*(t + 7)/7
Factor -a**2 + 132*a - 387.
-(a - 129)*(a - 3)
Solve 3*s**2 + 107*s + 70 = 0 for s.
-35, -2/3
Let d**5 + 13*d**4/4 - 69*d**3/4 - 73*d**2/2 + 88*d + 24 = 0. What is d?
-4, -1/4, 2, 3
Factor 5*q**3 + 196*q**2 + 1279*q + 248.
(q + 8)*(q + 31)*(5*q + 1)
Factor -79610044*h**5/7 - 157457504*h**4/7 - 76097884*h**3/7 + 1736600*h**2/7 - 12944*h/7 + 32/7.
-4*(h + 1)**2*(271*h - 2)**3/7
Suppose c**2/5 + 13024*c/5 + 42406144/5 = 0. What is c?
-6512
Factor -c**2/7 + 9*c/7 - 18/7.
-(c - 6)*(c - 3)/7
Factor 2*v**2/17 + 1056*v/17 + 139392/17.
2*(v + 264)**2/17
Find f, given that -f**5/7 - 9*f**4/7 - 25*f**3/7 - 27*f**2/7 - 10*f/7 = 0.
-5, -2, -1, 0
Solve 3*u**2 - 1962*u + 320787 = 0.
327
Factor n**5 + 18*n**4 + 85*n**3 - 500*n.
n*(n - 2)*(n + 5)**2*(n + 10)
Find t such that -t**2 + 37*t - 210 = 0.
7, 30
Factor 3*z**4/5 - 63*z**3/5.
3*z**3*(z - 21)/5
Factor t**2 - 870*t + 1736.
(t - 868)*(t - 2)
Factor -5*b**3.
-5*b**3
Determine d so that 3*d**5/2 + 12*d**4 - 9*d**3/2 - 93*d**2 + 84*d = 0.
-7, -4, 0, 1, 2
What is i in -3*i**2 - 39*i + 90 = 0?
-15, 2
Factor 4*h**3 - 24*h**2 - 16*h + 96.
4*(h - 6)*(h - 2)*(h + 2)
Determine x so that -3*x**4/8 + 9*x**3/4 - 39*x**2/8 + 9*x/2 - 3/2 = 0.
1, 2
Factor p**3/2 - 23*p**2/2 - 54*p.
p*(p - 27)*(p + 4)/2
Factor k**3 - 13*k**2 + 32*k - 20.
(k - 10)*(k - 2)*(k - 1)
Factor 4*w**2 + 9716*w.
4*w*(w + 2429)
Factor 4*s**2/5 - 22*s/5 + 18/5.
2*(s - 1)*(2*s - 9)/5
Factor 4*i**2 - 12248*i + 9375844.
4*(i - 1531)**2
Factor -1210*z**3 + 8184*z**2 - 2856*z + 256.
-2*(5*z - 32)*(11*z - 2)**2
Determine r, given that -3*r**4/5 + 258*r**3/5 - 501*r**2/5 - 258*r/5 + 504/5 = 0.
-1, 1, 2, 84
Let 25*z**3 + 2355*z**2 + 2795*z + 465 = 0. Calculate z.
-93, -1, -1/5
Factor -3*v**4 - 45*v**3 - 36*v**2 + 84*v.
-3*v*(v - 1)*(v + 2)*(v + 14)
Factor -2*p**2/9 - 902*p/9.
-2*p*(p + 451)/9
Factor -3*d**3/2 - 231*d**2 - 17787*d/2.
-3*d*(d + 77)**2/2
Suppose 2*w**3/7 + 10*w**2/7 - 16*w/7 - 96/7 = 0. Calculate w.
-4, 3
Factor 4*g**4 + 444*g**3 + 436*g**2 - 444*g - 440.
4*(g - 1)*(g + 1)**2*(g + 110)
Factor -5*c**2 + 4180*c - 873620.
-5*(c - 418)**2
Factor -k**2/2 - 21*k/2 + 23.
-(k - 2)*(k + 23)/2
Suppose 2*p**5/3 - 70*p**4/9 + 34*p**3/3 - 2*p**2 - 20*p/9 = 0. Calculate p.
-1/3, 0, 1, 10
Factor 3*y**4 - 21*y**3 - 39*y**2 + 129*y - 72.
3*(y - 8)*(y - 1)**2*(y + 3)
Factor 3*a**3 - 48*a**2 + 39*a + 90.
3*(a - 15)*(a - 2)*(a + 1)
Factor 3*h**5 - 174*h**4 + 3000*h**3 - 14064*h**2 + 25584*h - 16224.
3*(h - 26)**2*(h - 2)**3
Let -18*g**5 - 76*g**4 + 931*g**3/2 + 6073*g**2/2 + 4620*g + 882 = 0. What is g?
-7/2, -3, -2/9, 6
Factor -h**4 + 112*h**3 + 345*h**2 + 4*h - 460.
-(h - 115)*(h - 1)*(h + 2)**2
Let -6*a**5 - 236*a**4 - 294*a**3 + 384*a**2 + 152*a = 0. What is a?
-38, -2, -1/3, 0, 1
Find j such that 3*j**5/2 - 57*j**4/2 - 507*j**3/2 - 1023*j**2/2 + 90*j + 702 = 0.
-3, -2, 1, 26
Let 4*s**3 + 392*s**2/5 - 116*s + 168/5 = 0. Calculate s.
-21, 2/5, 1
Find d, given that -d**4 - 6*d**3 - 9*d**2 = 0.
-3, 0
Factor 2*z**2/7 + 96*z/7.
2*z*(z + 48)/7
What is q in -5*q**