 44*t + 48 = 0.
-4, -3, -2, 1
Factor 5*p**2 - 580*p + 16820.
5*(p - 58)**2
Let 2*c**4/7 + 20*c**3/7 - 50*c**2/7 - 20*c/7 + 48/7 = 0. What is c?
-12, -1, 1, 2
Determine d, given that 4*d**4 + 1508*d**3 = 0.
-377, 0
Factor -3*s**2 + 4908*s - 2007372.
-3*(s - 818)**2
Factor 2*g**3/3 + 14*g**2 + 96*g + 640/3.
2*(g + 5)*(g + 8)**2/3
Determine f so that -49*f**4/5 - 1008*f**3/5 - 2328*f**2/5 - 1088*f/5 - 144/5 = 0.
-18, -2, -2/7
Factor 2*k**2/5 - 316*k + 62410.
2*(k - 395)**2/5
Factor -49*t**5/4 + 11921*t**4/4 - 3403*t**3/4 + 243*t**2/4.
-t**2*(t - 243)*(7*t - 1)**2/4
Factor 8*h**3 + 60*h**2 + 64*h - 48.
4*(h + 2)*(h + 6)*(2*h - 1)
Find j, given that 55*j**2 - 5*j = 0.
0, 1/11
Find w, given that -4*w**5/7 + 4*w**4 + 4*w**3/7 - 4*w**2 = 0.
-1, 0, 1, 7
Determine b so that 3*b**4 + 456*b**3 - 9*b**2 - 1374*b - 912 = 0.
-152, -1, 2
Solve -2*a**5/13 - 8*a**4/13 - 10*a**3/13 - 4*a**2/13 = 0.
-2, -1, 0
Factor -t**4/3 - 7*t**3 - 54*t**2 - 180*t - 216.
-(t + 3)*(t + 6)**3/3
Suppose -5*f**5 + 405*f**4 - 9820*f**3 + 65580*f**2 - 133920*f + 77760 = 0. Calculate f.
1, 2, 6, 36
Determine m so that m**3/10 + 3*m**2/2 - m/10 - 3/2 = 0.
-15, -1, 1
Factor 27*s**3 - 2868*s**2 - 2253*s + 642.
3*(s - 107)*(s + 1)*(9*s - 2)
Determine w so that -3*w**5/8 - 9*w**4/8 + 15*w**3 = 0.
-8, 0, 5
Factor 2*y**3/7 + 30*y**2/7 + 46*y/7 - 78/7.
2*(y - 1)*(y + 3)*(y + 13)/7
What is k in -k**3/4 - 7*k**2/4 - 15*k/4 - 9/4 = 0?
-3, -1
Factor 5*y**5/3 - 125*y**4 + 10000*y**3/3 - 100000*y**2/3 + 4000000/3.
5*(y - 20)**4*(y + 5)/3
Suppose u**4/5 + 24*u**3/5 - 53*u**2/5 - 24*u/5 + 52/5 = 0. What is u?
-26, -1, 1, 2
What is s in -s**4 - 2*s**3 + s**2 + 2*s = 0?
-2, -1, 0, 1
Determine l, given that l**2 + 119*l = 0.
-119, 0
Factor -1152*g**2/17 + 1056*g/17 - 242/17.
-2*(24*g - 11)**2/17
Factor t**2/3 + 26*t/3 - 272/3.
(t - 8)*(t + 34)/3
Factor n**3 + 174*n**2 + 7392*n - 15488.
(n - 2)*(n + 88)**2
What is g in g**5/2 - g**4 - 13*g**3 + 81*g/2 - 27 = 0?
-3, 1, 6
Solve 5*o**2 + 55*o - 300 = 0 for o.
-15, 4
Determine x so that 2*x**3/3 - 26*x**2 - 440*x/3 = 0.
-5, 0, 44
Factor 5*r**2 + 465*r + 460.
5*(r + 1)*(r + 92)
What is w in 48*w**5 - 72*w**4 - 45*w**3 - 6*w**2 = 0?
-1/4, 0, 2
Factor m**4/4 - 3*m**3 - 7*m**2/2 + 3*m + 13/4.
(m - 13)*(m - 1)*(m + 1)**2/4
Factor -2*c**3 - 4*c**2 + 70*c.
-2*c*(c - 5)*(c + 7)
Factor -2*m**2/3 + 1840*m/3 + 1846.
-2*(m - 923)*(m + 3)/3
Suppose -25*k**2/2 - 5*k - 1/2 = 0. Calculate k.
-1/5
Suppose a**2 + 221*a - 446 = 0. Calculate a.
-223, 2
Factor 13*x**4/7 - 6*x**3/7.
x**3*(13*x - 6)/7
Factor -2*w**3 - 30*w**2 + 66*w - 34.
-2*(w - 1)**2*(w + 17)
Factor -2*y**2/13 + 898*y - 11672/13.
-2*(y - 5836)*(y - 1)/13
Find q, given that -6*q**4 + 62*q**3 - 124*q**2 - 112*q = 0.
-2/3, 0, 4, 7
Factor -3*u**3/2 - 327*u**2/2 - 4836*u - 20280.
-3*(u + 5)*(u + 52)**2/2
Factor 3*o**3 + 36*o**2 - 297*o - 3630.
3*(o - 10)*(o + 11)**2
Factor t**4/7 - 2*t**3/7 - 3*t**2/7.
t**2*(t - 3)*(t + 1)/7
Solve 4*u**2/3 - 196*u - 592/3 = 0.
-1, 148
Factor m**3 - 4*m.
m*(m - 2)*(m + 2)
Factor -3*a**2 - 69*a + 72.
-3*(a - 1)*(a + 24)
Let 4*s**5 - 32*s**4 - 2096*s**3 - 4032*s**2 = 0. What is s?
-18, -2, 0, 28
Factor n**3/6 - 3*n**2 - 21*n/2.
n*(n - 21)*(n + 3)/6
Find c such that 25*c**3 + 510*c**2 - 325*c - 210 = 0.
-21, -2/5, 1
Factor 5*u**4 + 10*u**3 - 5*u**2 - 10*u.
5*u*(u - 1)*(u + 1)*(u + 2)
Find v, given that 3*v**2 + 66*v/7 + 48/7 = 0.
-2, -8/7
Suppose 3*r**3/7 - 39*r**2 + 6837*r/7 - 27735/7 = 0. Calculate r.
5, 43
Suppose -w**3/2 - 251*w**2/2 + 505*w/2 - 253/2 = 0. What is w?
-253, 1
Let -2*w**3 + 14*w**2 + 1028*w - 1040 = 0. Calculate w.
-20, 1, 26
Factor 45*m**3 + 960*m**2 + 1220*m + 400.
5*(m + 20)*(3*m + 2)**2
Factor -n**3 + 5*n**2 + 6*n.
-n*(n - 6)*(n + 1)
Factor 2*a**2 - 170*a - 528.
2*(a - 88)*(a + 3)
Suppose 4*n**3 + 52*n**2 + 160*n + 144 = 0. Calculate n.
-9, -2
Let -15*i**2 - 1314*i + 528 = 0. What is i?
-88, 2/5
Find z such that -z**4/4 - 11*z**3/4 + 3*z**2/4 + 31*z/4 - 11/2 = 0.
-11, -2, 1
Factor u**2/4 + 89*u/4.
u*(u + 89)/4
Let -4*x**2 + 5608*x - 1965604 = 0. Calculate x.
701
Let -4*l**4 - 176*l**3 - 1036*l**2 = 0. Calculate l.
-37, -7, 0
Factor 5*k**3 + 55*k**2.
5*k**2*(k + 11)
Let -2*w**2 + 1050*w + 1052 = 0. Calculate w.
-1, 526
Factor 5*f**3 - 180*f**2 + 505*f - 330.
5*(f - 33)*(f - 2)*(f - 1)
Factor -4*u**4 + 36*u**3 + 104*u**2 - 720*u + 800.
-4*(u - 10)*(u - 2)**2*(u + 5)
Factor 2*d**2/19 - 22*d/19.
2*d*(d - 11)/19
Factor -121*l**3/5 + 1661*l**2/5 - 771*l + 495.
-(l - 11)*(11*l - 15)**2/5
Determine z, given that 20*z**4 + 60*z**3 + 5*z**2 - 60*z + 20 = 0.
-2, 1/2
Factor 2*u**5 + 2*u**4 - 12*u**3 - 8*u**2 + 16*u.
2*u*(u - 2)*(u - 1)*(u + 2)**2
Factor -3*l**2 + 198*l + 201.
-3*(l - 67)*(l + 1)
Let 3*q**3/7 - 3*q**2 + 45*q/7 - 27/7 = 0. What is q?
1, 3
Solve u**2 + 1085*u/3 - 362/3 = 0 for u.
-362, 1/3
Factor -7*y**2/4 - 127*y + 219/4.
-(y + 73)*(7*y - 3)/4
Suppose -2*j**4/9 + 50*j**3/9 + 56*j**2/9 - 104*j/9 = 0. Calculate j.
-2, 0, 1, 26
Factor 5*a**3 + 395*a**2 + 10295*a + 88305.
5*(a + 21)*(a + 29)**2
Factor n**2/4 + 169*n - 2037/4.
(n - 3)*(n + 679)/4
Solve -4*u**5/7 + 20*u**4/7 + 72*u**3/7 - 80*u**2/7 - 32*u = 0 for u.
-2, 0, 2, 7
Factor -m**3 - 285*m**2 - 20163*m + 20449.
-(m - 1)*(m + 143)**2
Let 3*m**4 + 1659*m**3 - 6669*m**2 + 8349*m - 3342 = 0. What is m?
-557, 1, 2
Find s, given that -6*s**5/7 + 303*s**4/7 + 2133*s**3/7 + 5046*s**2/7 + 4764*s/7 + 1368/7 = 0.
-2, -1/2, 57
Factor 4*q**4 - 164*q**3 + 156*q**2 + 164*q - 160.
4*(q - 40)*(q - 1)**2*(q + 1)
Find n such that -9*n**3 - 5326*n**2 - 787360*n + 175232 = 0.
-296, 2/9
What is s in -3*s**2/5 + 3*s - 12/5 = 0?
1, 4
Factor r**4/6 - 13*r**3/6 + 41*r**2/6 - 47*r/6 + 3.
(r - 9)*(r - 2)*(r - 1)**2/6
Factor -98*p**2/5 + 42*p - 88/5.
-2*(7*p - 11)*(7*p - 4)/5
Determine h, given that -2*h**5 - h**4 + 6*h**3 + 7*h**2 + 2*h = 0.
-1, -1/2, 0, 2
Factor 5*y**2 + 1500*y - 6080.
5*(y - 4)*(y + 304)
Factor -4802*s**5 + 3430*s**4 - 980*s**3 + 140*s**2 - 10*s + 2/7.
-2*(7*s - 1)**5/7
Factor -4*s**2 - 3824*s - 913936.
-4*(s + 478)**2
Determine j so that -4*j**5/9 + 2*j**4/3 - 2*j**3/9 = 0.
0, 1/2, 1
Factor 3*j**3/5 + 351*j**2/5 - 747*j + 1905.
3*(j - 5)**2*(j + 127)/5
Factor -4*q**2 - 240*q - 3600.
-4*(q + 30)**2
Find b, given that 2*b**5 - 6*b**4 - 34*b**3 - 18*b**2 + 32*b + 24 = 0.
-2, -1, 1, 6
Factor 6*r**3 - 117*r**2 - 321*r - 198.
3*(r - 22)*(r + 1)*(2*r + 3)
Factor -4*w**3 + 8*w**2 + 12*w.
-4*w*(w - 3)*(w + 1)
Factor -81*d**4/4 - 1197*d**3/2 + 269*d**2 - 30*d.
-d*(d + 30)*(9*d - 2)**2/4
Let -3*i**3/8 - 549*i**2/8 - 3105*i + 3174 = 0. Calculate i.
-92, 1
Factor 2*h**4 + 100*h**3 + 1346*h**2 + 2400*h + 1152.
2*(h + 1)**2*(h + 24)**2
Find s, given that -10*s**4 - 32*s**3 - 26*s**2 - 4*s = 0.
-2, -1, -1/5, 0
Let -5*o**5 + 45*o**3 + 20*o**2 - 60*o = 0. Calculate o.
-2, 0, 1, 3
Let -2*v**3/5 + 8*v**2/5 + 6*v/5 - 36/5 = 0. What is v?
-2, 3
Factor -x**3/8 + 11*x**2/8 + 3*x/2.
-x*(x - 12)*(x + 1)/8
Find h, given that -2*h**5/15 - 4*h**4/5 + 86*h**3/15 + 8*h**2/3 - 72*h/5 - 32/3 = 0.
-10, -1, 2, 4
Solve 4*q**4 - 9984*q**3 + 6239992*q**2 - 12450048*q + 6220036 = 0.
1, 1247
Suppose 6*c**2/5 - 526*c/5 + 348/5 = 0. Calculate c.
2/3, 87
Factor 2*f**2/9 + 214*f/9 + 1940/9.
2*(f + 10)*(f + 97)/9
Solve -c**3/4 + 409*c**2 - 167281*c = 0 for c.
0, 818
Let -5*f**2 - 105*f + 980 = 0. What is f?
-28, 7
Suppose 3*k**3 + 1263*k**2 - 3*k - 1263 = 0. Calculate k.
-421, -1, 1
Find f such that f**4/2 + 55*f**3/6 + 32*f**2/3 - 34*f/3 = 0.
-17, -2, 0, 2/3
Let f**4/5 - 83*f**3/5 - 17*f**2 + 83*f/5 + 84/5 = 0. Calculate f.
-1, 1, 84
Determine k so that 5*k**5 + 25*k**4 + 10*k**3 - 40*k**2 = 0.
-4, -2, 0, 1
Find f such that -3*f**2 - 198*f + 408 = 0.
-68, 2
Suppose 7*d**5 + 4*d**4 - 21*d**3 - 26*d**2 - 8*d = 0. Calculate d.
-1, -4/7, 0, 2
Determine z, given that z**5/2 - 5*z**4/2 - 57*z**3/2 + 189*z**2/2 = 0.
-7, 0, 3, 9
Factor 3*f**2 - 51*f + 48.
3*(f - 16)*(f - 1)
Determine p, given that 2*p**5/7 - 226*p**4/7 + 6716*p**3/7 - 18812*p**2/7 + 18370*p/7 - 6050/7 = 0.
1, 55
Determine q so that q**5/2 + 9*q**4 - 766*q**3 + 8415*q**2 - 15317*q/2 = 0.
-53, 0, 1, 17
Factor -l**2/3 + 30*l - 675.
-(l - 45)**2/3
Factor 3*y**2/8 + 543*y/8 - 207.
3*(y - 3)*(y + 184)/8
Suppose 3*f**4 - 3*f**3 - 36*f**2 - 12*f + 48 = 0. Calculate f.
-2, 1, 4
What is h in 5*h**5 - 110*