 q.
-2, -1, 0, 1
Factor -5*x**2 + 90*x + 720.
-5*(x - 24)*(x + 6)
Factor -52*u**2 + 16840*u + 2592.
-4*(u - 324)*(13*u + 2)
Determine f, given that 2*f**5/7 + 6*f**4/7 - 2*f**3 - 22*f**2/7 + 12*f/7 + 16/7 = 0.
-4, -1, 1, 2
Factor 2*k**2/13 - 20*k + 650.
2*(k - 65)**2/13
Factor 5*f**4/4 - 13*f**3/4 + 3*f**2/2.
f**2*(f - 2)*(5*f - 3)/4
Factor 2*g**2/11 - 32*g/11 + 30/11.
2*(g - 15)*(g - 1)/11
Solve -3*a**4 + 152*a**3/3 - 884*a**2/3 + 656*a - 384 = 0 for a.
8/9, 4, 6
Factor 2*q**3 - 406*q**2 + 1992*q - 2376.
2*(q - 198)*(q - 3)*(q - 2)
Factor -2*r**2/11 - 28*r/11 + 64/11.
-2*(r - 2)*(r + 16)/11
Let -81*q**5 + 4374*q**4/7 + 1485*q**3/7 - 1416*q**2/7 - 108*q - 96/7 = 0. Calculate q.
-1/3, -2/7, 2/3, 8
Solve k**2 - 140*k + 4900 = 0 for k.
70
Suppose -3*z**5/7 + 585*z**4/7 - 30432*z**3/7 + 181044*z**2/7 + 212064*z/7 = 0. What is z?
-1, 0, 8, 94
Factor 3*m**2 - 13*m - 10.
(m - 5)*(3*m + 2)
Suppose 3*f**5 + 6*f**4 - 99*f**3 - 498*f**2 - 852*f - 504 = 0. Calculate f.
-3, -2, 7
Factor 8*r**3 - 108*r**2 + 336*r + 196.
4*(r - 7)**2*(2*r + 1)
Factor 2*o**3/3 - 112*o**2/3.
2*o**2*(o - 56)/3
Factor -3*s**4 - 315*s**3 - 7425*s**2 + 45375*s.
-3*s*(s - 5)*(s + 55)**2
Factor 578*j**3/7 + 136*j**2/7 + 8*j/7.
2*j*(17*j + 2)**2/7
Let -y**4/5 + 1094*y**3/5 - 297012*y**2/5 - 240462*y - 904203/5 = 0. What is y?
-3, -1, 549
Factor 3*l**3/2 - 33*l**2/2 - 18*l.
3*l*(l - 12)*(l + 1)/2
Find j, given that 4*j**5 - 8*j**4 - 4*j**3 + 8*j**2 = 0.
-1, 0, 1, 2
Factor 2*c**5 + 10*c**4 + 16*c**3 + 8*c**2.
2*c**2*(c + 1)*(c + 2)**2
Let -2*d**4 + 8*d**3 + 44*d**2 - 8*d - 42 = 0. What is d?
-3, -1, 1, 7
Factor j**2/2 + 2*j - 21/2.
(j - 3)*(j + 7)/2
Suppose 2*u**3/7 - 34*u**2/7 + 4*u + 64/7 = 0. Calculate u.
-1, 2, 16
Determine a, given that -3*a**4/8 + 27*a**2/4 + 12*a + 45/8 = 0.
-3, -1, 5
Factor -2*u**3 + 20*u**2 - 18*u.
-2*u*(u - 9)*(u - 1)
Determine s so that -4*s**2 + 100*s = 0.
0, 25
Factor -2*p**2 + 80*p + 168.
-2*(p - 42)*(p + 2)
Let -h**4 + 15*h**3 - 25*h**2 - 15*h + 26 = 0. Calculate h.
-1, 1, 2, 13
Determine k so that 10125*k**5/2 + 11475*k**4/2 + 585*k**3 - 102*k**2 - 12*k = 0.
-1, -2/15, 0, 2/15
Factor 3*n**3/7 - 66*n**2/7 - 75*n/7 + 138/7.
3*(n - 23)*(n - 1)*(n + 2)/7
Factor x**4 - 293*x**3 - 886*x**2 - 592*x.
x*(x - 296)*(x + 1)*(x + 2)
Factor -2*k**4 - 106*k**3 - 1348*k**2 + 1456*k.
-2*k*(k - 1)*(k + 26)*(k + 28)
Factor -12*g**3 + 112*g**2 + 804*g - 280.
-4*(g - 14)*(g + 5)*(3*g - 1)
Factor 4*o**5 + 40*o**4 + 48*o**3 - 288*o**2.
4*o**2*(o - 2)*(o + 6)**2
Determine j so that -3*j**4/5 + 9*j**2 + 6*j - 72/5 = 0.
-3, -2, 1, 4
Find h such that 5*h**2 - 10*h + 5 = 0.
1
Find s, given that s**3 - 5*s**2 + 2*s + 8 = 0.
-1, 2, 4
Determine c so that -10*c**4/17 - 8*c**3 + 66*c**2/17 + 8*c - 56/17 = 0.
-14, -1, 2/5, 1
Factor -u**4 - 67*u**3 - 1277*u**2 - 5177*u - 5766.
-(u + 2)*(u + 3)*(u + 31)**2
Suppose 17*i**3/4 + 11*i**2/2 + 5*i/4 = 0. What is i?
-1, -5/17, 0
Let r**2/3 + 23*r = 0. What is r?
-69, 0
Factor 2*i**4 - 9*i**3 - 5*i**2.
i**2*(i - 5)*(2*i + 1)
What is f in -4*f**5/7 - 64*f**4/7 - 256*f**3/7 - 424*f**2/7 - 316*f/7 - 88/7 = 0?
-11, -2, -1
Solve -4*w**5 + 212*w**4 - 3400*w**3 + 22792*w**2 - 62132*w + 42532 = 0.
1, 7, 31
Find r, given that 14*r**4 + 46*r**3 - 2*r**2 - 46*r - 12 = 0.
-3, -1, -2/7, 1
Factor s**5/2 - 137*s**4/2 + 68*s**3.
s**3*(s - 136)*(s - 1)/2
Factor 2*j**3 - 190*j**2 + 374*j - 186.
2*(j - 93)*(j - 1)**2
Suppose -k**2 - 5*k = 0. Calculate k.
-5, 0
Determine b, given that -2*b**3 + 54*b**2 - 324*b = 0.
0, 9, 18
Factor s**3/5 - 1129*s**2/5 + 451*s - 1127/5.
(s - 1127)*(s - 1)**2/5
Factor -5*u**2 - 290*u.
-5*u*(u + 58)
Solve -7*p**2 - 173*p + 50 = 0.
-25, 2/7
Factor -2*z**4/5 + 36*z**3 + 368*z**2/5.
-2*z**2*(z - 92)*(z + 2)/5
Factor q**2/7 + 88*q/7 - 89/7.
(q - 1)*(q + 89)/7
Suppose -5*h**5 - 440*h**4 - 10105*h**3 - 18490*h**2 = 0. Calculate h.
-43, -2, 0
Factor -5*h**2 + 310*h - 4805.
-5*(h - 31)**2
Factor 2*i**3/3 - 786*i**2 + 1570*i - 2354/3.
2*(i - 1177)*(i - 1)**2/3
Find a, given that -a**4 - 81*a**3 - 1514*a**2 + 5124*a - 3528 = 0.
-42, 1, 2
What is y in -722*y**3/3 + 4750*y**2/3 + 2096*y/3 + 224/3 = 0?
-4/19, 7
Let 3*i**2/5 + 4932*i/5 - 987 = 0. What is i?
-1645, 1
Factor -5*z**2 + 310*z - 2160.
-5*(z - 54)*(z - 8)
Determine u, given that -2*u**2/19 + 2*u/19 = 0.
0, 1
Factor m**2/2 + 369*m + 737/2.
(m + 1)*(m + 737)/2
Solve -s**2/3 + 370*s/3 - 123 = 0.
1, 369
Suppose h**4 + 57*h**3 - 366*h**2 + 748*h - 504 = 0. What is h?
-63, 2
Factor -3*y**2 + 1260*y - 132300.
-3*(y - 210)**2
What is j in -5*j**3 - 1450*j**2 - 105125*j = 0?
-145, 0
Factor r**2 + 5176*r + 6697744.
(r + 2588)**2
Determine h so that -7605*h**2 + 780*h - 20 = 0.
2/39
Factor 12*x**4 - 238*x**3 + 1160*x**2 + 200*x.
2*x*(x - 10)**2*(6*x + 1)
Solve -198*n**3/13 + 1536*n**2/13 - 958*n/13 + 12 = 0.
1/3, 78/11
Factor b**5 - 23*b**4 - 386*b**3 + 408*b**2.
b**2*(b - 34)*(b - 1)*(b + 12)
Factor -b**3 - 48*b**2 + 316*b - 432.
-(b - 4)*(b - 2)*(b + 54)
Suppose -4*k**3 - 272*k**2 - 1040*k - 1024 = 0. Calculate k.
-64, -2
Factor k**2 + 85*k - 546.
(k - 6)*(k + 91)
Factor 5*c**3 - 715*c**2 + 30080*c - 307200.
5*(c - 64)**2*(c - 15)
Factor 2*c**2/11 - 246*c/11 + 244/11.
2*(c - 122)*(c - 1)/11
Factor 2*t**2/7 - 12*t/7 - 1040/7.
2*(t - 26)*(t + 20)/7
Solve -i**2 + 25*i = 0.
0, 25
What is x in 4*x**3 + 32*x**2 - 36*x = 0?
-9, 0, 1
Factor t**4/8 + 25*t**3/4 - 103*t**2/8 + 13*t/2.
t*(t - 1)**2*(t + 52)/8
Let -6*p**4/5 - 168*p**3/5 + 1632*p**2/5 - 3456*p/5 = 0. What is p?
-36, 0, 4
Solve -h**3/3 - 64*h**2 - 3072*h = 0.
-96, 0
What is z in -2*z**3/13 - 14*z**2/13 + 2*z/13 + 14/13 = 0?
-7, -1, 1
What is t in -3*t**4 - 36*t**3 + 3*t**2 + 36*t = 0?
-12, -1, 0, 1
Find u such that 4*u**5 - 76*u**4 - 380*u**3 + 204*u**2 + 1656*u = 0.
-3, 0, 2, 23
Factor x**2/3 + 5*x + 14/3.
(x + 1)*(x + 14)/3
Determine t, given that 2*t**5 - 2*t**4 - 28*t**3 - 8*t**2 + 80*t + 64 = 0.
-2, -1, 2, 4
Factor -7*j**3/3 - 142*j**2/3 - 40*j/3.
-j*(j + 20)*(7*j + 2)/3
Factor -h**2/8 - h/2 + 4.
-(h - 4)*(h + 8)/8
Factor -2*d**4 - 20*d**3 + 22*d**2.
-2*d**2*(d - 1)*(d + 11)
Factor 50*l**3 - 1805*l**2 + 16380*l - 1620.
5*(l - 18)**2*(10*l - 1)
Factor -p**3 - 4*p**2 + 3*p + 18.
-(p - 2)*(p + 3)**2
Factor 5*i**3 - 10*i**2 - 5*i + 10.
5*(i - 2)*(i - 1)*(i + 1)
Factor 2*d**5/5 + 4*d**4/5 - 16*d**3/5 - 32*d**2/5 + 32*d/5 + 64/5.
2*(d - 2)**2*(d + 2)**3/5
Factor -2*x**3/5 - 36*x**2/5 + 38*x/5.
-2*x*(x - 1)*(x + 19)/5
Factor -2*i**3/25 - 1308*i**2/25 - 285144*i/25 - 20720464/25.
-2*(i + 218)**3/25
Factor -m**2/10 - 41*m - 409/10.
-(m + 1)*(m + 409)/10
Factor -s**3/3 + 29*s**2/3 - 224*s/3 + 196/3.
-(s - 14)**2*(s - 1)/3
Solve i**5 - 11*i**4 + 46*i**3 - 90*i**2 + 81*i - 27 = 0.
1, 3
Factor c**4/4 + 13*c**3/4 - 45*c**2/4 + 47*c/4 - 4.
(c - 1)**3*(c + 16)/4
Factor 4*h**2 + 1256*h - 2528.
4*(h - 2)*(h + 316)
Find k such that -3*k**2 - 30*k - 63 = 0.
-7, -3
Solve 15*x**2 - 31315*x - 10440 = 0.
-1/3, 2088
Factor f**2/6 - 149*f/6.
f*(f - 149)/6
What is j in -4*j**4 + 228*j**3 + 724*j**2 - 228*j - 720 = 0?
-3, -1, 1, 60
Let 3*f**5/5 - 18*f**4/5 + 24*f**3/5 + 6*f**2/5 - 27*f/5 + 12/5 = 0. Calculate f.
-1, 1, 4
Factor 2*l**4 + 34*l**3 - 536*l**2 + 2144*l - 2688.
2*(l - 4)**2*(l - 3)*(l + 28)
What is c in 5*c**4 - 15*c**3 - 370*c**2 + 2400*c - 4000 = 0?
-10, 4, 5
Let 5*r**4 + 995*r**3 - 3015*r**2 + 3025*r - 1010 = 0. What is r?
-202, 1
Determine a so that -25*a**4 - 14260*a**3 + 22865*a**2 - 8580*a = 0.
-572, 0, 3/5, 1
Find i, given that i**2/2 - 3*i = 0.
0, 6
Suppose -2*o**3/5 - 34*o**2 - 3526*o/5 + 3698/5 = 0. Calculate o.
-43, 1
Factor -z**4 + 1684*z**3 - 710646*z**2 + 1416244*z - 707281.
-(z - 841)**2*(z - 1)**2
Factor b**5/6 - 40*b**4/3 - 27*b**3/2.
b**3*(b - 81)*(b + 1)/6
Find a, given that 5*a**2 - 35*a + 30 = 0.
1, 6
Determine d, given that d**2/3 + 560*d + 235200 = 0.
-840
Find l such that l**3/3 + 4*l**2/3 + 4*l/3 = 0.
-2, 0
Factor -t**3 - 58*t**2 - 896*t - 1568.
-(t + 2)*(t + 28)**2
Solve 3*q**4 + 45*q**3 + 183*q**2 + 63*q - 294 = 0.
-7, -2, 1
Let 9*u**3 - 678*u**2 - 459*u + 228 = 0. What is u?
-1, 1/3, 76
Determine g, given that -g**2/2 - 166*g - 13778 = 0.
-166
Determine g, given that 4*g**5/7 - 1236*g**4/7 + 96076*g**3/7 - 88716*g**2/7 - 67232*g - 40656 = 0.
-1, 3, 154
Determine v so that 5*v**3 - 9825*v**2 + 6435375*v - 1405056875 = 0.
655