
Find o, given that o**2/3 - 3239*o/3 - 1080 = 0.
-1, 3240
Factor -3*n**4/2 - 51*n**3/2 - 132*n**2 - 216*n.
-3*n*(n + 4)**2*(n + 9)/2
Suppose -24*w**3/5 + 158*w**2/5 - 44*w = 0. What is w?
0, 2, 55/12
Let -2*s**5/5 - 4*s**4/5 - 2*s**3/5 = 0. What is s?
-1, 0
Factor i**3/3 + 328*i**2/3 + 29605*i/3 + 144150.
(i + 18)*(i + 155)**2/3
Factor 3*g**2 + 2280*g - 2283.
3*(g - 1)*(g + 761)
Suppose -6*c**5 - 16*c**4 + 286*c**3 - 512*c**2 - 40*c + 288 = 0. Calculate c.
-9, -2/3, 1, 2, 4
Let -6*f**4/7 + 596*f**3/7 - 14598*f**2/7 - 10200*f/7 + 5000/7 = 0. Calculate f.
-1, 1/3, 50
What is d in -145*d**2 + 280*d + 20 = 0?
-2/29, 2
Let 5*p**2 + 55*p + 50 = 0. Calculate p.
-10, -1
Factor 3*o**5 - 6*o**4 - 36*o**3 + 54*o**2 + 81*o.
3*o*(o - 3)**2*(o + 1)*(o + 3)
Factor v**2 - 12*v + 32.
(v - 8)*(v - 4)
What is l in -2*l**5/5 + 42*l**4/5 - 188*l**3/5 - 276*l**2/5 + 38*l + 234/5 = 0?
-1, 1, 9, 13
Find v such that -5*v**4 + 210*v**3 - 1985*v**2 - 4620*v - 2420 = 0.
-1, 22
Solve 4*c**3 + 2680*c**2 + 440752*c - 2741856 = 0.
-338, 6
Factor l**2/2 - 543*l/2 - 272.
(l - 544)*(l + 1)/2
Suppose 3*v**2 + 129*v + 246 = 0. What is v?
-41, -2
Factor -3*s**3 - 9000*s**2 - 35964*s - 35952.
-3*(s + 2)**2*(s + 2996)
Let -o**3 - 10*o**2 = 0. What is o?
-10, 0
Factor 2*c**4 + 4*c**3 + 2*c**2.
2*c**2*(c + 1)**2
Find h, given that 4*h**4 + 56*h**3 + 80*h**2 - 224*h - 384 = 0.
-12, -2, 2
Suppose d**5 - 7*d**4 - 69*d**3 + 275*d**2 + 1300*d - 1500 = 0. What is d?
-5, 1, 6, 10
Determine u so that -75*u**3 - 655*u**2 + 180*u = 0.
-9, 0, 4/15
Solve -3*f**3/7 + 21*f**2 - 1872*f/7 + 1728/7 = 0.
1, 24
What is i in -21*i**5 - 9*i**4 + 42*i**3 + 18*i**2 - 21*i - 9 = 0?
-1, -3/7, 1
Factor b**3 + 89*b**2 + 175*b + 87.
(b + 1)**2*(b + 87)
Factor i**3/2 - 117*i**2/2 + 4563*i/2 - 59319/2.
(i - 39)**3/2
Suppose -3*h**3/2 + 261*h**2/2 - 5265*h/2 - 18225/2 = 0. Calculate h.
-3, 45
Find v such that 2*v**3/17 - 116*v**2/17 + 66*v + 17424/17 = 0.
-8, 33
Factor -5*f**2 - 255*f + 3780.
-5*(f - 12)*(f + 63)
Let 2*p**4/3 - 7*p**3 - 139*p**2/3 - 80*p - 124/3 = 0. Calculate p.
-2, -1, 31/2
Factor h**4/2 - 6*h**3 + 22*h**2 - 24*h.
h*(h - 6)*(h - 4)*(h - 2)/2
What is m in -5*m**2 + 430*m - 425 = 0?
1, 85
Suppose 5*v**4 - 25*v**3 - 30*v**2 = 0. What is v?
-1, 0, 6
Let 3*f**3/5 - 12*f**2/5 - 33*f/5 + 18 = 0. What is f?
-3, 2, 5
What is i in -4*i**5/7 + i**4/7 + 36*i**3/7 - 9*i**2/7 = 0?
-3, 0, 1/4, 3
Factor -3*v**3 - 48*v**2 - 84*v.
-3*v*(v + 2)*(v + 14)
Find w such that 2*w**4/5 + 2*w**3/5 - 14*w**2/5 - 26*w/5 - 12/5 = 0.
-2, -1, 3
Solve -44*q**4 - 140*q**3 - 24*q**2 = 0 for q.
-3, -2/11, 0
Factor -3*k**4/5 - 42*k**3/5 - 15*k**2 - 36*k/5.
-3*k*(k + 1)**2*(k + 12)/5
Solve 10*g**4/7 - 24*g**3 - 444*g**2/7 + 488*g/7 + 114/7 = 0 for g.
-3, -1/5, 1, 19
Determine v, given that 2*v**2 + 32*v - 34 = 0.
-17, 1
Determine x, given that 2*x**4/9 - 158*x**3/9 + 1150*x**2/9 - 994*x/9 = 0.
0, 1, 7, 71
Factor y**2/3 - 19*y + 102.
(y - 51)*(y - 6)/3
Let 3*w**3/5 - 333*w**2/5 + 12177*w/5 - 146247/5 = 0. Calculate w.
29, 41
What is c in 9*c**3/2 - 5547*c**2 + 18471*c/2 - 3693 = 0?
2/3, 1, 1231
Solve 3*t**5 + 12*t**4 + 12*t**3 - 6*t**2 - 15*t - 6 = 0 for t.
-2, -1, 1
Factor -4*x**2 + 112*x - 300.
-4*(x - 25)*(x - 3)
Factor -r**3 + 80*r**2 - 453*r + 666.
-(r - 74)*(r - 3)**2
Factor 5*n**2 - 700*n + 24500.
5*(n - 70)**2
Suppose -u**5/3 + u**4/3 + 2*u**3/3 = 0. Calculate u.
-1, 0, 2
Factor l**3/2 + 7*l**2/2 - 145*l/2 + 425/2.
(l - 5)**2*(l + 17)/2
What is f in -5*f**4 - 315*f**3 - 3300*f**2 - 12560*f - 16320 = 0?
-51, -4
Factor -126*h**3 - 512*h**2 - 24*h + 32.
-2*(h + 4)*(7*h + 2)*(9*h - 2)
Factor -5*a**2 - 4570*a - 1044245.
-5*(a + 457)**2
Suppose i**5/6 - 8*i**4/3 - 3*i**3 + 8*i**2/3 + 17*i/6 = 0. What is i?
-1, 0, 1, 17
What is m in -10*m**2/7 + 4134*m/7 - 236 = 0?
2/5, 413
Determine i so that -2*i**2/3 + 262*i/3 + 548 = 0.
-6, 137
Suppose k**5/10 + 7*k**4/5 + 31*k**3/10 - 71*k**2/5 - 16*k/5 + 64/5 = 0. What is k?
-8, -1, 1, 2
Solve -5*q**3 + 35*q**2 + 40*q = 0.
-1, 0, 8
Factor j**2/3 + 284*j/3 - 95.
(j - 1)*(j + 285)/3
What is b in 2*b**3/21 + 44*b**2/21 + 94*b/21 - 380/21 = 0?
-19, -5, 2
Factor 635*v**2/6 + v/2.
v*(635*v + 3)/6
Factor -q**2/3 + 170*q/3 - 7225/3.
-(q - 85)**2/3
Determine x, given that x**2/2 + 122*x - 2277/2 = 0.
-253, 9
Solve -5*g**2 + 2*g = 0.
0, 2/5
Suppose 2*s**2 - 846*s - 1700 = 0. Calculate s.
-2, 425
Find y, given that 5*y**5 - 15*y**4 + 10*y**3 + 10*y**2 - 15*y + 5 = 0.
-1, 1
Find t, given that t**4/4 - 15*t**3/4 + 29*t**2/2 - 21*t + 10 = 0.
1, 2, 10
Factor 8*d**2 - 4*d - 84.
4*(d + 3)*(2*d - 7)
Factor 2*m**2 + 840*m + 838.
2*(m + 1)*(m + 419)
Factor d**3/2 - 159*d**2 - 642*d - 644.
(d - 322)*(d + 2)**2/2
Let -2*r**5 + 156*r**4 + 484*r**3 + 168*r**2 - 482*r - 324 = 0. What is r?
-2, -1, 1, 81
Factor f**3 - 16*f**2.
f**2*(f - 16)
Factor i**4/4 - 183*i**3/2 + 34565*i**2/4 - 49050*i + 40500.
(i - 180)**2*(i - 5)*(i - 1)/4
Solve -4*b**4 + 44*b**3 - 72*b**2 = 0 for b.
0, 2, 9
Factor -3*x**3/5 + 72*x**2/5 + 51*x - 324/5.
-3*(x - 27)*(x - 1)*(x + 4)/5
What is n in -4*n**2 - 104*n - 480 = 0?
-20, -6
Find z, given that 2*z**2/13 + 13944*z/13 + 24304392/13 = 0.
-3486
Factor j**2/6 + 8*j/3 + 14/3.
(j + 2)*(j + 14)/6
Find t such that -2*t**2/13 + 76*t/13 - 210/13 = 0.
3, 35
Determine k so that -4*k**5 - 36*k**4 - 56*k**3 = 0.
-7, -2, 0
Factor -r**3 + 3*r**2 + 33*r - 35.
-(r - 7)*(r - 1)*(r + 5)
Suppose -9*x**3 - 123*x**2 - 276*x - 132 = 0. Calculate x.
-11, -2, -2/3
What is f in f**3/4 - 13*f**2/2 - 149*f/4 - 93/2 = 0?
-3, -2, 31
Factor -35*d**3 + 130*d**2 - 65*d - 30.
-5*(d - 3)*(d - 1)*(7*d + 2)
Factor -i**4/7 - i**3/7 + 2*i**2/7.
-i**2*(i - 1)*(i + 2)/7
Factor -2*n**2/7 + 180*n/7 - 4050/7.
-2*(n - 45)**2/7
Suppose -195*r**2 + 5*r = 0. Calculate r.
0, 1/39
Solve -u**2 + 4*u + 5 = 0 for u.
-1, 5
Let 3*x**5/5 - 36*x**4/5 - 87*x**3/5 + 36*x**2/5 + 84*x/5 = 0. Calculate x.
-2, -1, 0, 1, 14
Let 2*b**5/7 + 10*b**4/7 - 108*b**3/7 - 108*b**2/7 + 1674*b/7 - 2430/7 = 0. What is b?
-9, -5, 3
What is t in -3*t**4 - 24*t**3 + 27*t**2 = 0?
-9, 0, 1
Solve -m**4 + 6*m**3 - m**2 - 24*m + 20 = 0 for m.
-2, 1, 2, 5
Let 2*a**3/9 + 34*a**2/9 + 22*a/9 - 1210/9 = 0. What is a?
-11, 5
Factor -a**4 - 146*a**3 - 5473*a**2 - 10512*a - 5184.
-(a + 1)**2*(a + 72)**2
Factor -4*c**3/5 - 28*c**2 - 864*c/5.
-4*c*(c + 8)*(c + 27)/5
Suppose -4*l**2 - 568*l - 20164 = 0. Calculate l.
-71
Find b, given that -2*b**2 + 420*b - 22050 = 0.
105
Determine z so that -4*z**2 - 46320*z - 134096400 = 0.
-5790
Factor -t**3/5 + 1933*t**2/5 - 186631*t - 935089/5.
-(t - 967)**2*(t + 1)/5
Determine y so that 3*y**3/7 - 18*y**2/7 + 33*y/7 - 18/7 = 0.
1, 2, 3
Factor -4*d**3 - 84*d**2 - 156*d - 76.
-4*(d + 1)**2*(d + 19)
Determine z, given that -5*z**4/4 + 225*z**3/2 + 15*z**2/4 - 340*z + 225 = 0.
-2, 1, 90
Factor 5*b**3 + 70*b**2 - 155*b + 80.
5*(b - 1)**2*(b + 16)
Factor -5*v**4 + 320*v**3 - 5385*v**2 + 7130*v + 38440.
-5*(v - 31)**2*(v - 4)*(v + 2)
Solve -2*k**4 - 274*k**3 - 9246*k**2 + 9522*k = 0.
-69, 0, 1
Suppose -6*b**5 + 15*b**4 + 18*b**3 - 24*b**2 - 12*b + 9 = 0. What is b?
-1, 1/2, 1, 3
Factor 2*u**4 - 54*u**3 + 516*u**2 - 1984*u + 2304.
2*(u - 9)*(u - 8)**2*(u - 2)
Factor -3*y**2/4 + 1827*y/2 - 3651/4.
-3*(y - 1217)*(y - 1)/4
Factor -4*v**2 - 1080*v - 72900.
-4*(v + 135)**2
Determine g so that 2*g**2/11 - 884*g/11 + 97682/11 = 0.
221
Let 4*g**2/5 + 1716*g/5 = 0. What is g?
-429, 0
Let 4*r**4/3 + 184*r**3/3 + 176*r**2/3 - 184*r/3 - 60 = 0. Calculate r.
-45, -1, 1
Factor b**2/5 + 1032*b/5 + 266256/5.
(b + 516)**2/5
Solve -2*g**2 + 24*g + 56 = 0 for g.
-2, 14
Solve -v**5/4 - v**4 + 17*v**3/4 + 17*v**2 - 4*v - 16 = 0.
-4, -1, 1, 4
Suppose 3*d**3 - 165*d**2 + 750*d = 0. What is d?
0, 5, 50
Factor 2*s**4 - 70*s**3 - 8*s**2 + 280*s.
2*s*(s - 35)*(s - 2)*(s + 2)
Factor 4*p**3 + 124*p**2 - 4*p - 124.
4*(p - 1)*(p + 1)*(p + 31)
Factor -35*y**3 - 90*y**2 + 45*y.
-5*y*(y + 3)*(7*y - 3)
Find c, given that -2*c**2 - 48*c - 288 = 0.
-12
Suppose 3*z**3/4 - 5*z**2/6 - 53*z/12 + 1/2 = 0. What is z?
-2, 1/9, 3
Factor -3*p**5 - 507*p**4 - 22170*p**3 - 63498*p**2 - 62499*p - 20667.
-3*(p + 1)**3*(p + 83)**2
Solve 3*q**3 - 60*q**2 + 192*q = 0 for q.
0, 4, 16
Find x, given that -4*x**3/3 - 4*x**2 = 0.
-3, 0
Factor 5*l**4 - 75*l**3 - 5*l**2 + 75*l.
5*l*(l - 15)*(l - 1)*(l + 1)
De