s.
-64, 12
Find t, given that 75*t**2 + 381*t + 30 = 0.
-5, -2/25
Factor 2*s**4 - 372*s**3 - 4752*s**2.
2*s**2*(s - 198)*(s + 12)
Suppose -6*r**4/11 - 156*r**3/11 + 522*r**2/11 = 0. Calculate r.
-29, 0, 3
Find i such that -i**5/5 + 12*i**4/5 - 12*i**3/5 - 118*i**2/5 - 147*i/5 - 54/5 = 0.
-1, 6, 9
Factor o**5/4 + 7*o**4/4 - 43*o**3/4 - 259*o**2/4 + 147*o/2.
o*(o - 6)*(o - 1)*(o + 7)**2/4
Factor a**4/4 - 26*a**3 + 1491*a**2/2 - 3430*a - 16807/4.
(a - 49)**2*(a - 7)*(a + 1)/4
Suppose -60*u**3 + 40*u**2 + 135*u + 50 = 0. Calculate u.
-5/6, -1/2, 2
Factor 2*s**2 - 764*s + 72962.
2*(s - 191)**2
Factor -3*a**4 - 81*a**3 + 261*a**2 - 267*a + 90.
-3*(a - 1)**3*(a + 30)
Solve -15*r**2 + 6670*r - 4440 = 0 for r.
2/3, 444
Find p, given that -p**3/3 - 182*p**2 - 24660*p + 150152/3 = 0.
-274, 2
Factor 5*z**4 - 11*z**3 - 158*z**2 + 512*z - 96.
(z - 4)**2*(z + 6)*(5*z - 1)
Factor -2*y**2/9 - 368*y/9 - 728/9.
-2*(y + 2)*(y + 182)/9
Find g, given that 21*g**5 + 302*g**4 + 815*g**3 + 358*g**2 - 176*g = 0.
-11, -8/3, -1, 0, 2/7
Let 2*g**2/17 + 76*g/17 - 1456/17 = 0. What is g?
-52, 14
Determine w so that -2*w**4 + w**3/5 = 0.
0, 1/10
Factor 8*b**2/9 - 2*b + 4/9.
2*(b - 2)*(4*b - 1)/9
Solve -5*b**3 + 75*b**2 - 190*b + 120 = 0 for b.
1, 2, 12
Factor 4*t**2 - 972*t + 968.
4*(t - 242)*(t - 1)
Factor 5*w**4/2 + 295*w**3/2 - 915*w**2/2 + 925*w/2 - 155.
5*(w - 1)**3*(w + 62)/2
Determine m so that m**3 + 177*m**2 + 350*m = 0.
-175, -2, 0
Factor l**2 - 15*l + 14.
(l - 14)*(l - 1)
Factor -5*s**2 - 240*s + 1925.
-5*(s - 7)*(s + 55)
Factor -y**4 - 38*y**3 - 360*y**2 + 38*y + 361.
-(y - 1)*(y + 1)*(y + 19)**2
Factor -2*z**5/7 + 18*z**3/7.
-2*z**3*(z - 3)*(z + 3)/7
Suppose 4*h**3 + 4*h**2 - 8*h = 0. What is h?
-2, 0, 1
Find n, given that -18*n**5/11 + 168*n**4/11 - 288*n**3/11 - 84*n**2/11 + 306*n/11 - 84/11 = 0.
-1, 1/3, 1, 2, 7
Let k**4 + 14*k**3 + 35*k**2 + 22*k = 0. What is k?
-11, -2, -1, 0
Determine i so that i**4/5 - 2*i**3/5 - 8*i**2/5 + 18*i/5 - 9/5 = 0.
-3, 1, 3
Factor 5*s**4/3 - 1780*s**3/3 + 79210*s**2 - 14099380*s/3 + 313711205/3.
5*(s - 89)**4/3
Determine r, given that 3*r**2 + 9684*r - 9687 = 0.
-3229, 1
Find d such that d**2 + 291*d - 292 = 0.
-292, 1
Let -162*k**3/13 - 24552*k**2/13 + 10936*k/13 - 1216/13 = 0. What is k?
-152, 2/9
Factor 5*z**2 - 20*z.
5*z*(z - 4)
Determine j, given that j**5/2 - 129*j**4/2 - 533*j**3/2 + 129*j**2/2 + 266*j = 0.
-4, -1, 0, 1, 133
Solve -2*a**4 + 22*a**3 - 10*a**2 - 214*a - 180 = 0.
-2, -1, 5, 9
What is j in -5*j**2/3 + 850*j/3 + 285 = 0?
-1, 171
Factor -s**2 - 116*s/3 - 76/3.
-(s + 38)*(3*s + 2)/3
Factor -z**4/6 - z**3/3 + z**2/2 + 2*z/3 - 2/3.
-(z - 1)**2*(z + 2)**2/6
Factor -2*l**2/9 - 4*l/9.
-2*l*(l + 2)/9
Let 15*d**4 - 42*d**3 + 36*d**2 - 6*d - 3 = 0. What is d?
-1/5, 1
Factor 9*p**3/2 + 8*p**2 - 2*p.
p*(p + 2)*(9*p - 2)/2
Factor -2*o**2/15 - 202*o/15 - 76.
-2*(o + 6)*(o + 95)/15
Find r such that -6*r**4 - 122*r**3 - 504*r**2 + 392*r = 0.
-14, -7, 0, 2/3
Suppose q**4/3 + 25*q**3/6 + 14*q**2 + 6*q = 0. Calculate q.
-6, -1/2, 0
Factor 4*g**2 - 720*g + 32400.
4*(g - 90)**2
Solve -5*f**3 - 32*f**2 - 12*f = 0.
-6, -2/5, 0
Find u, given that -32*u**2 + 20836*u - 2604 = 0.
1/8, 651
Find b, given that 2*b**4/19 + 24*b**3/19 + 30*b**2/19 - 112*b/19 - 120/19 = 0.
-10, -3, -1, 2
Factor -8*a**3/9 + 22*a**2/9 + 4*a/3 - 2.
-2*(a - 3)*(a + 1)*(4*a - 3)/9
Let 2*j**2/5 - 224*j/5 + 222/5 = 0. Calculate j.
1, 111
Suppose -8*u**4/7 + 92*u**3/7 - 56*u**2 + 732*u/7 - 72 = 0. Calculate u.
2, 3, 7/2
Factor -93*m**4 - 567*m**3 - 1170*m**2 - 852*m - 72.
-3*(m + 2)**3*(31*m + 3)
Factor -2*r**2 + 326*r + 2028.
-2*(r - 169)*(r + 6)
Factor h**2/5 + 17*h/5 + 14.
(h + 7)*(h + 10)/5
Factor -2*u**3/7 + 8*u**2/7 + 40*u/7 - 96/7.
-2*(u - 6)*(u - 2)*(u + 4)/7
Find w, given that 3*w**2 + 93*w + 324 = 0.
-27, -4
Determine y so that 2*y**3/9 + 22*y**2/9 - 2*y/9 - 22/9 = 0.
-11, -1, 1
Determine x so that x**5 - 10*x**4 + 22*x**3 - 4*x**2 - 23*x + 14 = 0.
-1, 1, 2, 7
What is n in -5*n**3/11 - 3*n**2 + 104*n/11 - 36/11 = 0?
-9, 2/5, 2
Factor -2*z**3/9 + 320*z**2/9 - 11786*z/9 - 27556/3.
-2*(z - 83)**2*(z + 6)/9
Solve -4*x**3 - 444*x**2 + 904*x = 0.
-113, 0, 2
Determine u so that 3*u**2/5 + 126*u/5 + 48 = 0.
-40, -2
What is z in 5*z**5 + 5*z**4 - 25*z**3 - 5*z**2 + 40*z - 20 = 0?
-2, 1
Factor 3*l**4/4 - 21*l**3/2 + 147*l**2/4 - 27*l.
3*l*(l - 9)*(l - 4)*(l - 1)/4
Factor -26*o**3/3 + 22*o**2/3 + 4*o/3.
-2*o*(o - 1)*(13*o + 2)/3
Factor -4*t**5 - 12*t**4 + 24*t**3 + 104*t**2 + 108*t + 36.
-4*(t - 3)*(t + 1)**3*(t + 3)
Factor 4*j**3 + 48*j**2 + 36*j - 88.
4*(j - 1)*(j + 2)*(j + 11)
Solve 98*x**5 + 1316*x**4 + 4026*x**3 - 2632*x**2 + 392*x = 0 for x.
-7, 0, 2/7
Let -2*q**2 + 2892*q - 1045458 = 0. What is q?
723
Solve 2*j**3/7 - 10*j**2/7 + 2*j - 6/7 = 0.
1, 3
What is w in w**5 + 35*w**4 + 127*w**3 + 89*w**2 - 128*w - 124 = 0?
-31, -2, -1, 1
Solve s**5/8 - 2*s**4 + 23*s**3/4 + 18*s**2 + 81*s/8 = 0.
-1, 0, 9
Let -2*r**3/5 + 16*r**2/5 - 8*r + 32/5 = 0. Calculate r.
2, 4
Solve -2*m**3/5 - 6*m**2/5 + 8*m/5 = 0.
-4, 0, 1
Factor -s**3/4 - 347*s**2/4 + s/4 + 347/4.
-(s - 1)*(s + 1)*(s + 347)/4
Find k such that 2*k**4/9 + 2*k**3/3 - 10*k**2/9 - 2*k/3 + 8/9 = 0.
-4, -1, 1
Solve -4*r**2 + 88*r = 0.
0, 22
Factor b**2/9 + 4*b/9 - 5/9.
(b - 1)*(b + 5)/9
Solve d**5 - 247*d**4 + 15619*d**3 - 45385*d**2 + 44896*d - 14884 = 0.
1, 122
Factor 5*v**3 - 4755*v**2 + 1507335*v - 159275065.
5*(v - 317)**3
Factor -252*u**2 + 416*u - 80.
-4*(7*u - 10)*(9*u - 2)
Determine h, given that -3*h**5 + 21*h**4 - 33*h**3 + 15*h**2 = 0.
0, 1, 5
Factor 768*s**2 + 288*s + 27.
3*(16*s + 3)**2
Determine d so that -3*d**4 + 72*d**3 + 57*d**2 - 1458*d + 2160 = 0.
-5, 2, 3, 24
Suppose 3*v**5/5 + 198*v**4/5 - 894*v**3/5 - 768*v**2 - 4221*v/5 - 294 = 0. Calculate v.
-70, -1, 7
Let 2*n**3/3 + 238*n**2 + 28322*n + 3370318/3 = 0. Calculate n.
-119
Factor -h**5/4 - h**4/2 + 7*h**3/4 - h**2.
-h**2*(h - 1)**2*(h + 4)/4
Suppose -6*j**5 - 196*j**4/5 - 216*j**3/5 + 116*j**2/5 + 246*j/5 + 16 = 0. Calculate j.
-5, -1, -8/15, 1
Factor -p**2/6 - 19*p/3 + 41/2.
-(p - 3)*(p + 41)/6
What is v in v**2/5 - 19*v/5 + 48/5 = 0?
3, 16
What is o in -2*o**3/7 + 302*o**2/7 = 0?
0, 151
What is p in -32*p**3 + 92*p**2 + 332*p + 40 = 0?
-2, -1/8, 5
Factor -3*d**4 + 18*d**2 + 24*d + 9.
-3*(d - 3)*(d + 1)**3
Suppose -2*n**2/11 + 3688*n/11 - 1700168/11 = 0. Calculate n.
922
Factor w**3 + 11*w**2 + 26*w + 16.
(w + 1)*(w + 2)*(w + 8)
Factor 3*r**4 + 108*r**3 - 9*r**2 - 330*r - 216.
3*(r - 2)*(r + 1)**2*(r + 36)
Determine l, given that 3*l**2/2 - 51*l/2 + 78 = 0.
4, 13
Factor 4*s**5 - 4*s**4 - 4*s**3 + 4*s**2.
4*s**2*(s - 1)**2*(s + 1)
Find k such that 18*k**2 - 33*k - 30 = 0.
-2/3, 5/2
Factor -4*b**3 + 68*b**2 + 240*b.
-4*b*(b - 20)*(b + 3)
Solve -d**2/2 - 51*d - 1701/2 = 0 for d.
-81, -21
Factor -28*s**3 + 4*s**2.
-4*s**2*(7*s - 1)
Let c**2/4 - 83*c/4 = 0. What is c?
0, 83
Determine i, given that 4*i**5/3 + 13*i**4/3 - i**3/3 - 13*i**2/3 - i = 0.
-3, -1, -1/4, 0, 1
Suppose v**5/2 + 149*v**4/2 - 3*v**3/2 - 449*v**2/2 - 149*v = 0. Calculate v.
-149, -1, 0, 2
Factor 5*i**4 - 55*i**3 - 200*i**2 - 140*i.
5*i*(i - 14)*(i + 1)*(i + 2)
What is d in 2*d**2/3 - 142*d/3 + 1976/3 = 0?
19, 52
Suppose -3*r**4/2 - 12*r**3 - 33*r**2 - 36*r - 27/2 = 0. What is r?
-3, -1
Determine s, given that -5*s**2 - 1865*s + 1870 = 0.
-374, 1
Solve 3*c**4 + 3*c**3 - 18*c**2 = 0 for c.
-3, 0, 2
Factor -3*b**5 + 3*b**4.
-3*b**4*(b - 1)
Factor -t**3/2 + 14*t**2 - 101*t/2 - 161.
-(t - 23)*(t - 7)*(t + 2)/2
Suppose 3*g**3/5 - 216*g**2/5 - 669*g/5 - 90 = 0. What is g?
-2, -1, 75
Factor -4*l**2 - 520*l - 16900.
-4*(l + 65)**2
Suppose -135*r**3 + 1509*r**2 - 252*r - 132 = 0. What is r?
-2/9, 2/5, 11
Factor -3*n**3/4 - 51*n**2/4 + 48*n + 60.
-3*(n - 4)*(n + 1)*(n + 20)/4
Factor -4*t**2 + 28*t.
-4*t*(t - 7)
Find n such that 5*n**4 + 2800*n**3 + 411110*n**2 + 5350800*n + 18259605 = 0.
-273, -7
Factor -3*a**2 + 492*a + 495.
-3*(a - 165)*(a + 1)
Determine w, given that 4*w**3 - 88*w**2 = 0.
0, 22
Factor -2*b**4/9 - 14*b**3/9 + 20*b**2/9 + 32*b/9.
-2*b*(b - 2)*(b + 1)*(b + 8)/9
Factor q**3 + 45*q**2 + 87*q + 43.
(q + 1)**2*(q + 43)
Suppose 100*t**4/7 - 16*t**3/7 = 0. Calculate t.
0, 4/25
Solve 5*m**2 - 172*m + 68 = 0.
2/5, 34
Factor 2*t**4/17 - 40*t**3/17 + 264*t**2/17 - 576*t/17.
2*t*