f/4 - 261/2.
-3*(f - 174)*(f - 1)/4
Factor -5*m**3/4 + 137*m**2/4 - 46*m + 13.
-(m - 26)*(m - 1)*(5*m - 2)/4
Factor 3*p**3 + 72*p**2 - 81*p - 150.
3*(p - 2)*(p + 1)*(p + 25)
Factor -2*z**4/9 + 22*z**3/9 + 272*z**2/9 + 608*z/9.
-2*z*(z - 19)*(z + 4)**2/9
Factor -85*m**5 + 95*m**4 - 10*m**3.
-5*m**3*(m - 1)*(17*m - 2)
Let -3*x**5/7 + 9*x**4/7 + 48*x**3/7 + 36*x**2/7 = 0. Calculate x.
-2, -1, 0, 6
Factor -2*p**3 + 28*p**2 - 22*p - 52.
-2*(p - 13)*(p - 2)*(p + 1)
Factor -j**2/2 - 7*j/2 + 99.
-(j - 11)*(j + 18)/2
Factor -2*u**3 - 12*u**2 - 18*u - 8.
-2*(u + 1)**2*(u + 4)
Factor 12*c**3 - 292*c**2 - 204*c + 100.
4*(c - 25)*(c + 1)*(3*c - 1)
Find x, given that 4*x**3 + 772*x**2 - 11396*x + 40572 = 0.
-207, 7
Factor 5*v**5 + 60*v**4 + 280*v**3 + 630*v**2 + 675*v + 270.
5*(v + 1)*(v + 2)*(v + 3)**3
Factor h**3/11 - 862*h**2/11 + 5145*h/11 - 7704/11.
(h - 856)*(h - 3)**2/11
Factor h**2/3 - 56*h/3 + 784/3.
(h - 28)**2/3
Determine g, given that -2*g**4/13 - 36*g**3/13 + 82*g**2/13 + 36*g/13 - 80/13 = 0.
-20, -1, 1, 2
Factor -5*k**3 + 375*k - 1250.
-5*(k - 5)**2*(k + 10)
Factor 3*h**4/7 - 3*h**3/7 - 36*h**2/7 + 12*h - 48/7.
3*(h - 2)**2*(h - 1)*(h + 4)/7
Determine j, given that j**4/2 + 21*j**3/2 - 3*j**2/2 - 65*j/2 - 21 = 0.
-21, -1, 2
Factor -2*u**4 - 4*u**3.
-2*u**3*(u + 2)
Factor m**2/4 + 177*m/2 - 540.
(m - 6)*(m + 360)/4
Factor -4*z**4/7 + 108*z**3 - 1500*z**2/7 + 748*z/7.
-4*z*(z - 187)*(z - 1)**2/7
Factor -3*w**3/7 + 33*w**2/7 - 93*w/7 + 9.
-3*(w - 7)*(w - 3)*(w - 1)/7
Solve -v**3/10 + 173*v**2/5 + 139*v/2 + 174/5 = 0.
-1, 348
Determine f, given that f**2/5 - 388*f/5 + 37636/5 = 0.
194
Factor -4*j**4 - 352*j**3 - 344*j**2 + 352*j + 348.
-4*(j - 1)*(j + 1)**2*(j + 87)
Factor -z**3/7 + 1138*z**2/7 - 321473*z/7 - 1304164/7.
-(z - 571)**2*(z + 4)/7
Factor 3*b**3/2 - 20*b**2 + 13*b/2.
b*(b - 13)*(3*b - 1)/2
Solve 4*y**2/7 + 20*y/7 + 16/7 = 0 for y.
-4, -1
Solve 3*r**3 - 2025*r**2 + 340704*r + 342732 = 0 for r.
-1, 338
Factor 97*x**4 + 9*x**3/5.
x**3*(485*x + 9)/5
Let -5*w**5 + 125*w**4 - 575*w**3 - 2525*w**2 - 2800*w - 980 = 0. Calculate w.
-1, 14
Find i such that i**5 + 2*i**4 - 98*i**3 + 504*i**2 - 999*i + 702 = 0.
-13, 2, 3
Find p such that 4*p**3 + 192*p**2 - 1084*p - 1272 = 0.
-53, -1, 6
Factor z**4/4 + 5*z**3/4 - 3*z**2/2.
z**2*(z - 1)*(z + 6)/4
Let 4*g**5 + 2688*g**4 + 602096*g**3 + 44946944*g**2 - 2408448*g - 179830784 = 0. What is g?
-224, -2, 2
What is o in 2*o**2/7 - 2/7 = 0?
-1, 1
Factor -70*c**2/13 + 8*c - 18/13.
-2*(5*c - 1)*(7*c - 9)/13
Suppose -4*o**2/3 - 13264*o/3 - 10995856/3 = 0. What is o?
-1658
Find m, given that -8*m**3 - 5532*m**2 - 5529*m/2 - 691/2 = 0.
-691, -1/4
Let -65*m**5/4 + 63*m**4/4 + 33*m**3 + m**2 = 0. Calculate m.
-1, -2/65, 0, 2
Let 4*c**5 - 48*c**4 + 196*c**3 - 360*c**2 + 304*c - 96 = 0. Calculate c.
1, 2, 6
Factor -3*q**3/4 - 42*q**2 - 1767*q/4 + 8649/2.
-3*(q - 6)*(q + 31)**2/4
Factor 32*l**2 + 16*l/3 + 2/9.
2*(12*l + 1)**2/9
What is m in 4*m**5 + 12*m**4 - 188*m**3 - 204*m**2 + 184*m + 192 = 0?
-8, -1, 1, 6
What is o in -5*o**3 - 325*o**2 - 5440*o - 5120 = 0?
-32, -1
Let 37*k**2 - 146*k - 8 = 0. What is k?
-2/37, 4
Solve -h**3/7 - 8*h**2/7 + 4*h + 80/7 = 0 for h.
-10, -2, 4
Factor 3*q**2/7 - 3*q + 30/7.
3*(q - 5)*(q - 2)/7
Factor -16*g**5 + 64*g**4 + 76*g**3 + 20*g**2.
-4*g**2*(g - 5)*(2*g + 1)**2
Factor 4*d**5 + 20*d**4 - 4*d**3 - 20*d**2.
4*d**2*(d - 1)*(d + 1)*(d + 5)
Factor 2*y**2/5 - 16*y/5 - 418/5.
2*(y - 19)*(y + 11)/5
Let -10*s**2 + 1575*s - 785 = 0. Calculate s.
1/2, 157
Factor -2*a**3 + 20*a**2 - 24*a - 144.
-2*(a - 6)**2*(a + 2)
Factor -5*d**4 - 2660*d**3 - 530670*d**2 - 47052740*d - 1564503605.
-5*(d + 133)**4
Factor 3*g**2 - 66*g - 144.
3*(g - 24)*(g + 2)
Factor 2*i**2 - 192*i + 4608.
2*(i - 48)**2
Suppose 3*d**3/7 + 204*d**2/7 = 0. What is d?
-68, 0
Let -x**4 + 15*x**3 - 54*x**2 + 40*x = 0. What is x?
0, 1, 4, 10
Find j, given that -j**3/6 + 10*j**2/3 - 73*j/6 - 39 = 0.
-2, 9, 13
Factor 5*z**2 - 7595*z.
5*z*(z - 1519)
Find y, given that -3*y**2 - 1359*y - 1356 = 0.
-452, -1
Factor 64*h**3/7 - 16*h**2/7 + h/7.
h*(8*h - 1)**2/7
Factor 3*m**2 - 45*m - 48.
3*(m - 16)*(m + 1)
Factor f**2 - 319*f + 948.
(f - 316)*(f - 3)
Find p, given that 5*p**5 - 50*p**4 + 35*p**3 + 370*p**2 - 40*p - 320 = 0.
-2, -1, 1, 4, 8
Suppose -5*a**4 - 430*a**3 - 2040*a**2 - 1170*a + 3645 = 0. Calculate a.
-81, -3, 1
Solve -22*y**2/7 - 12*y + 16/7 = 0 for y.
-4, 2/11
Factor -2*i**3/7 - 4*i**2 + 30*i/7.
-2*i*(i - 1)*(i + 15)/7
Determine n so that 3*n**4/2 - 6*n**3 + 9*n**2 - 6*n + 3/2 = 0.
1
Determine x, given that 3*x**4 - 348*x**3 + 987*x**2 + 3390*x = 0.
-2, 0, 5, 113
Find a, given that 27*a**5/5 - 90*a**4 + 291*a**3/5 - 48*a**2/5 = 0.
0, 1/3, 16
Let 3*k**5/4 - 33*k**4/4 - 12*k**3 + 33*k**2 + 36*k = 0. What is k?
-2, -1, 0, 2, 12
Find g, given that g**4 - 269*g**3 - 270*g**2 = 0.
-1, 0, 270
Factor -2*u**2 + 142*u + 292.
-2*(u - 73)*(u + 2)
Solve -15*l**5/2 + 201*l**4/4 + 171*l**3/4 - 687*l**2/4 - 501*l/4 + 63/2 = 0.
-3/2, -1, 1/5, 2, 7
What is z in -15*z**3 - 3388*z**2 - 191083*z + 25538 = 0?
-113, 2/15
Determine n, given that -173077800*n**5/11 - 34345570*n**4/11 + 18681418*n**3/11 + 4047684*n**2/11 - 16168*n/11 + 16/11 = 0.
-2/7, -1/4, 2/1015, 1/3
What is c in -2*c**2/5 - 522*c/5 + 1052/5 = 0?
-263, 2
What is o in -4*o**3/3 - 116*o**2/3 - 416*o/3 - 400/3 = 0?
-25, -2
Find d, given that -d**3 - 92*d**2 = 0.
-92, 0
Factor 5*s**2 - 1110*s + 61605.
5*(s - 111)**2
Factor -4*x**2 + 20*x - 16.
-4*(x - 4)*(x - 1)
Let -4*h**3/5 - 1404*h**2/5 - 164268*h/5 - 6406452/5 = 0. What is h?
-117
Factor 3*g**5 - 96*g**4 + 183*g**3 - 90*g**2.
3*g**2*(g - 30)*(g - 1)**2
What is j in -5*j**5 - 45*j**4 - 25*j**3 + 645*j**2 + 1710*j + 1080 = 0?
-6, -3, -1, 4
Factor c**4/9 + 4*c**3/9 - 7*c**2/3 - 104*c/9 - 80/9.
(c - 5)*(c + 1)*(c + 4)**2/9
Suppose 3*h**4 + 30*h**3 - 129*h**2/4 + 33*h/4 = 0. What is h?
-11, 0, 1/2
Solve -u**3/6 + 2*u**2 - 7*u/2 - 49/3 = 0 for u.
-2, 7
Factor 5*y**3/2 + 1550*y**2 + 464625*y/2 - 2480625.
5*(y - 10)*(y + 315)**2/2
Factor -r**3/2 + 63*r**2/2 - 447*r/2 + 385/2.
-(r - 55)*(r - 7)*(r - 1)/2
Factor 4*r**4/7 - 3068*r**3/7 + 783360*r**2/7 - 66322432*r/7 - 67108864/7.
4*(r - 256)**3*(r + 1)/7
Factor -5*c**3 + 65*c**2 + 150*c.
-5*c*(c - 15)*(c + 2)
Factor -n**5 - 19*n**4 - 115*n**3 - 225*n**2.
-n**2*(n + 5)**2*(n + 9)
Let -2*j**4/9 - 8*j**3/9 - 2*j**2/3 + 8*j/9 + 8/9 = 0. What is j?
-2, -1, 1
Let -14*t**3 + 18*t**2 + 24*t - 8 = 0. What is t?
-1, 2/7, 2
Factor -4*y**4 + 776*y**3 - 37620*y**2 - 3104*y + 150544.
-4*(y - 97)**2*(y - 2)*(y + 2)
Factor -42*h**2 - 429*h - 387.
-3*(h + 1)*(14*h + 129)
Factor y**2 - 5392*y + 7268416.
(y - 2696)**2
Factor 3*z**2/7 - 30*z/7 + 27/7.
3*(z - 9)*(z - 1)/7
Factor w**5/6 - 5*w**4/3 - 4*w**3 - w**2/3 + 23*w/6 + 2.
(w - 12)*(w - 1)*(w + 1)**3/6
Factor 3*b**4 + 33*b**3 + 114*b**2 + 120*b.
3*b*(b + 2)*(b + 4)*(b + 5)
Solve -2*u**5 + 12*u**4 - 26*u**3 + 24*u**2 - 8*u = 0.
0, 1, 2
Determine g so that -16*g**5/3 - 31*g**4/3 + 102*g**3 + 301*g**2/3 - 20*g/3 = 0.
-5, -1, 0, 1/16, 4
Factor 2*y**3/9 - 400*y**2/9 + 2266*y - 4356.
2*(y - 99)**2*(y - 2)/9
Factor 3*s**3/7 + 66*s**2/7 + 351*s/7.
3*s*(s + 9)*(s + 13)/7
Let -3*u**3 + 54*u**2 - 99*u - 1452 = 0. Calculate u.
-4, 11
Factor d**4/4 + d**3 - 15*d**2/4 - 9*d/2.
d*(d - 3)*(d + 1)*(d + 6)/4
Find i, given that 14*i**2 - 7626*i - 2180 = 0.
-2/7, 545
Determine l, given that 3*l**2/2 - 684*l + 77976 = 0.
228
Factor 5*m**5/2 + 15*m**4 + 25*m**3/2.
5*m**3*(m + 1)*(m + 5)/2
Factor w**2/6 + 457*w/6 + 227.
(w + 3)*(w + 454)/6
Factor -4*n**4 - 40*n**3 + 156*n**2 - 16*n - 208.
-4*(n - 2)**2*(n + 1)*(n + 13)
Find q such that -3*q**5 + 12*q**4 + 3186*q**3 + 9456*q**2 + 9417*q + 3132 = 0.
-29, -1, 36
Factor 2*c**2 - 32*c + 96.
2*(c - 12)*(c - 4)
Find x such that 5*x**4 - 133*x**3 + 921*x**2 - 455*x - 338 = 0.
-2/5, 1, 13
Factor 2*d**4 + 2128*d**3 + 568172*d**2 + 1129968*d + 563922.
2*(d + 1)**2*(d + 531)**2
Factor -4*d**3 + 124*d**2 + 16*d - 496.
-4*(d - 31)*(d - 2)*(d + 2)
Suppose -3*l**3 - 120*l**2 + 123*l = 0. Calculate l.
-41, 0, 1
Suppose 3*n**4 + 27*n**3 = 0. What is n?
-9, 0
Solve 2*l**2/13 - 2770*l/13 - 2772/13 = 0 for l.
-1, 1386
Suppose -3*f**2 - 12*f - 9 = 0. What is f?
-3, -1
Factor -2*g**3/7 + 22*g**2/7 - 76*g/7 + 80/7.
-2*(g - 5)*(g - 4)*(g - 2)/7
Sol