4 + 155.
(u - 620)*(u - 1)*(u + 1)**2/4
Solve 2*c**2 - 14*c + 24 = 0 for c.
3, 4
Let 2*y**3/9 - 344*y**2/9 - 78*y + 116 = 0. Calculate y.
-3, 1, 174
Let 9*w**3/2 - 764*w**2 - 170*w = 0. What is w?
-2/9, 0, 170
Solve -192*j**3 + 816*j**2 - 315*j - 1323 = 0.
-1, 21/8
Let y**4 + 4*y**3 - 6*y**2 - 4*y + 5 = 0. Calculate y.
-5, -1, 1
Let 3*p**2 + 14*p + 8 = 0. Calculate p.
-4, -2/3
Find i such that -25*i**3/3 + 5155*i**2/3 + 4136*i/3 + 276 = 0.
-2/5, 207
Solve 5*i**5 + 5*i**4 - 70*i**3 + 130*i**2 - 95*i + 25 = 0 for i.
-5, 1
Solve 3*z**4/7 - 12*z**3 + 39*z**2 + 360*z/7 = 0 for z.
-1, 0, 5, 24
Determine k so that -4*k**2 + 168*k - 1764 = 0.
21
Factor -4*v**3 + 1844*v**2 - 3676*v + 1836.
-4*(v - 459)*(v - 1)**2
Determine p, given that 2*p**3 + 128*p**2 - 130*p = 0.
-65, 0, 1
Solve m**2/2 - 486*m + 118098 = 0.
486
Factor 4*q**3 - 272*q**2 - 1484*q + 1752.
4*(q - 73)*(q - 1)*(q + 6)
Factor 3*d**3/4 - 21*d**2 - 93*d - 96.
3*(d - 32)*(d + 2)**2/4
Factor -4*x**3/7 + 76*x**2/7 - 56*x + 320/7.
-4*(x - 10)*(x - 8)*(x - 1)/7
Determine d, given that 3*d**3 + 90*d**2 + 675*d + 1500 = 0.
-20, -5
Suppose -2*w**5/9 - 2*w**4/3 + 2*w**3 + 46*w**2/9 + 8*w/3 = 0. What is w?
-4, -1, 0, 3
Factor -4*m**4 - 60*m**3 + 1152*m**2 - 3760*m + 3456.
-4*(m - 8)*(m - 2)**2*(m + 27)
Factor -3*m**3 + 66*m**2 + 141*m + 72.
-3*(m - 24)*(m + 1)**2
Factor 3*d**2/5 + 144*d/5 - 159.
3*(d - 5)*(d + 53)/5
Let -6*q**2/7 + 117*q/7 - 57/7 = 0. Calculate q.
1/2, 19
Let 2601*g**4/2 + 20706*g**3 - 1630*g**2 + 32*g = 0. Calculate g.
-16, 0, 2/51
Factor y**4/6 + 23*y**3/6 - 29*y**2 + 16*y/3 + 464/3.
(y - 4)**2*(y + 2)*(y + 29)/6
Determine j, given that 7*j**3 + 212*j**2/5 + 327*j/5 + 18/5 = 0.
-3, -2/35
Factor -3*h**3 + 39*h**2 + 192*h + 204.
-3*(h - 17)*(h + 2)**2
Let -18*v**3 - 858*v**2 + 1168*v - 392 = 0. What is v?
-49, 2/3
Factor -4*m**3 + 340*m**2 + 1800*m.
-4*m*(m - 90)*(m + 5)
Find l, given that -l**2/8 + 205*l/4 - 42025/8 = 0.
205
Factor 27*o**4 + 24*o**3 - 324*o**2 + 144*o + 384.
3*(o - 2)**2*(o + 4)*(9*o + 8)
Factor -3*p**3 + 573*p**2 - 27072*p - 27648.
-3*(p - 96)**2*(p + 1)
Let -2*b**3/3 + 14*b**2/3 - 4*b = 0. Calculate b.
0, 1, 6
Factor 5*b**2/3 - 615*b/2 - 925/6.
5*(b - 185)*(2*b + 1)/6
Factor 7*v**2/6 + v/3 - 72.
(v + 8)*(7*v - 54)/6
Solve 3*y**4 - 21*y**3 - 12*y**2 + 84*y = 0.
-2, 0, 2, 7
What is l in -10*l**4/3 + 8*l**3/3 + 122*l**2/3 + 8*l = 0?
-3, -1/5, 0, 4
Solve -x**2/7 + 79*x/7 - 228/7 = 0.
3, 76
Factor -5*w**5/4 + 515*w**4/4 + 525*w**3/2.
-5*w**3*(w - 105)*(w + 2)/4
Factor -q**2/7 + 17*q/7 - 6.
-(q - 14)*(q - 3)/7
Factor -2*k**5/17 - 26*k**4/17 + 58*k**3/17 - 30*k**2/17.
-2*k**2*(k - 1)**2*(k + 15)/17
Determine b so that -3*b**3 - 1263*b**2 + 3810*b - 2544 = 0.
-424, 1, 2
Find f such that -4*f**3 + 176*f**2 - 492*f = 0.
0, 3, 41
Suppose -3*g**5 - 6*g**4 + 6*g**2 + 3*g = 0. Calculate g.
-1, 0, 1
Determine m so that 3*m**5 - 93*m**4/4 + 3*m**3 + 393*m**2/4 - 60*m - 21 = 0.
-2, -1/4, 1, 2, 7
Factor -w**3/2 - 723*w**2/2 - 65160*w + 65522.
-(w - 1)*(w + 362)**2/2
Let 4*y**4/7 - 6*y**3 + 130*y**2/7 - 12*y - 80/7 = 0. Calculate y.
-1/2, 2, 4, 5
Factor 2*r**3/5 - 68*r**2/5 - 218*r/5 - 148/5.
2*(r - 37)*(r + 1)*(r + 2)/5
Find z such that -3*z**2/7 + 1650*z/7 - 226875/7 = 0.
275
Suppose t**4/3 - 3*t**3 + 25*t**2/3 - 9*t + 10/3 = 0. What is t?
1, 2, 5
Find g such that g**2/3 + 236*g/3 + 13924/3 = 0.
-118
Suppose s**3/8 + 13*s**2/4 - 23*s + 32 = 0. What is s?
-32, 2, 4
Factor -2*a**2/15 - 792*a/5 - 2374/15.
-2*(a + 1)*(a + 1187)/15
Determine g, given that g**5/9 - 215*g**4/9 - 2*g**3/9 + 430*g**2/9 + g/9 - 215/9 = 0.
-1, 1, 215
Suppose -6*o**5 - 2*o**4 + 94*o**3 - 198*o**2 + 152*o - 40 = 0. What is o?
-5, 2/3, 1, 2
Factor -2*k**5 - 6*k**4 + 20*k**3 - 4*k**2 - 18*k + 10.
-2*(k - 1)**3*(k + 1)*(k + 5)
Suppose l**2/2 - 15*l/2 + 28 = 0. Calculate l.
7, 8
What is w in w**5 + w**4 - 3*w**3/4 - w**2 - w/4 = 0?
-1, -1/2, 0, 1
Solve -4*h**2/5 - 2672*h/5 + 2676/5 = 0 for h.
-669, 1
Factor -4*t**3 - 32*t**2 - 84*t - 72.
-4*(t + 2)*(t + 3)**2
Factor -h**3/3 + 10*h**2/3 - 23*h/3 + 14/3.
-(h - 7)*(h - 2)*(h - 1)/3
Find r, given that -4*r**5 + 1632*r**4 - 164816*r**3 - 337832*r**2 + 164820*r + 336200 = 0.
-2, -1, 1, 205
Factor -r**2 - 82*r + 344.
-(r - 4)*(r + 86)
Factor -18*f**3 - 105*f**2 - 144*f + 27.
-3*(f + 3)**2*(6*f - 1)
Let 7*w**4/3 + 3*w**3 - 5*w**2/3 - 3*w - 2/3 = 0. What is w?
-1, -2/7, 1
Determine x so that -8*x**5/3 - 370*x**4/3 - 68*x**3/3 + 1126*x**2/3 + 1016*x/3 + 184/3 = 0.
-46, -1, -1/4, 2
Factor l**5/2 - 46*l**4 - 192*l**3 - 8*l**2 + 760*l + 768.
(l - 96)*(l - 2)*(l + 2)**3/2
Factor b**5/2 - 4*b**4 - b**3 + 26*b**2 + 73*b/2 + 14.
(b - 7)*(b - 4)*(b + 1)**3/2
Suppose -h**2/5 + 27*h/5 + 28/5 = 0. Calculate h.
-1, 28
Factor -6*q**2 + 2721*q + 4095.
-3*(q - 455)*(2*q + 3)
Factor 2*y**2/3 + 374*y/9 - 28.
2*(y + 63)*(3*y - 2)/9
Let -5*d**3 - 25*d**2 + 420*d = 0. Calculate d.
-12, 0, 7
Factor -3*d**2 - 1284*d.
-3*d*(d + 428)
Factor -o**2 - 16*o.
-o*(o + 16)
Suppose 5*p**3 - 110*p**2 + 360*p = 0. What is p?
0, 4, 18
What is y in -10*y**3 - 92*y**2 - 18*y = 0?
-9, -1/5, 0
Factor -4*q**2 - 2920*q - 532900.
-4*(q + 365)**2
Suppose x**5/3 - 20*x**4/3 + 118*x**3/3 - 60*x**2 + 27*x = 0. Calculate x.
0, 1, 9
Suppose 41*v**5/4 - 35*v**4/12 - 125*v**3/12 + 35*v**2/12 + v/6 = 0. Calculate v.
-1, -2/41, 0, 1/3, 1
Factor 4*s**4/9 - 16*s**3/9 + 4*s**2/9 + 8*s/3.
4*s*(s - 3)*(s - 2)*(s + 1)/9
Suppose -2*v**2/3 + 936*v - 328536 = 0. What is v?
702
Factor -3*y**2/5 - 18*y.
-3*y*(y + 30)/5
Suppose 2*l**3/9 - 4*l**2/9 - 16*l/9 = 0. What is l?
-2, 0, 4
Factor 4*c**3 + 24*c**2 + 48*c + 32.
4*(c + 2)**3
Factor -5*p**2 + 210*p - 2205.
-5*(p - 21)**2
Solve 2*a**4/3 - 22*a**3/3 + 10*a**2/3 + 94*a/3 + 20 = 0.
-1, 3, 10
What is y in 5*y**3 + 175*y**2 = 0?
-35, 0
Factor 4*p**4/3 - 214*p**3/3 - 36*p**2.
2*p**2*(p - 54)*(2*p + 1)/3
What is f in 28*f**3/5 + 341*f**2/5 + 1068*f/5 + 36 = 0?
-6, -5/28
Let -2*q**3/5 + 7788*q**2/5 - 10108824*q/5 + 4373751184/5 = 0. What is q?
1298
Factor -z**3/2 - z**2 + 23*z/2 + 30.
-(z - 5)*(z + 3)*(z + 4)/2
Factor 3*u**5 + 18*u**4 - 24*u**3 - 18*u**2 + 21*u.
3*u*(u - 1)**2*(u + 1)*(u + 7)
Factor f**2/6 - f + 5/6.
(f - 5)*(f - 1)/6
What is k in k**2/3 + 605*k + 3626/3 = 0?
-1813, -2
Solve -2*i**2/7 - 3712*i/7 - 1722368/7 = 0 for i.
-928
Factor -10*z**2 + 22*z + 248.
-2*(z + 4)*(5*z - 31)
Factor -14*c**3 + 388*c**2 - 2632*c - 784.
-2*(c - 14)**2*(7*c + 2)
Determine x, given that -x**3 + 64*x**2 - 549*x + 486 = 0.
1, 9, 54
Factor -87*k**3/4 + 963*k**2/2 - 10791*k/4 + 363.
-3*(k - 11)**2*(29*k - 4)/4
Solve 4*f**3 + 828*f**2 + 57132*f + 1314036 = 0 for f.
-69
Solve -3*c**4/8 + 2*c**3 - 3*c**2/8 - 5*c/4 = 0 for c.
-2/3, 0, 1, 5
Suppose 6*v**3 + 84*v**2 + 495*v/2 - 675/2 = 0. What is v?
-15/2, 1
Factor 12*r**4/5 - 99*r**3/5 + 24*r**2/5.
3*r**2*(r - 8)*(4*r - 1)/5
Suppose -p**2/10 - 103*p/5 - 10609/10 = 0. What is p?
-103
Factor q**3 + 21*q**2 + 39*q + 19.
(q + 1)**2*(q + 19)
Factor 4*r**4 + 372*r**3 + 8833*r**2 + 8556*r + 2116.
(r + 46)**2*(2*r + 1)**2
Suppose -3*k**5 + 249*k**4/8 - 795*k**3/8 + 69*k**2 + 90*k = 0. Calculate k.
-5/8, 0, 3, 4
Suppose 25*x**4 - 280*x**3 + 649*x**2 - 54*x - 144 = 0. Calculate x.
-2/5, 3/5, 3, 8
What is n in 55*n**3 + 3585*n**2 - 6720*n - 1340 = 0?
-67, -2/11, 2
Factor y**2 - 39*y - 220.
(y - 44)*(y + 5)
Factor 3*m**3 - 150*m**2 + 291*m - 144.
3*(m - 48)*(m - 1)**2
Factor -2*u**3/7 + 18*u**2/7 + 440*u/7.
-2*u*(u - 20)*(u + 11)/7
Factor 4*i**3 - 12*i**2 - 1440*i - 9200.
4*(i - 23)*(i + 10)**2
Factor 676*u**5 - 3848*u**4 + 4852*u**3 + 1776*u**2 + 144*u.
4*u*(u - 3)**2*(13*u + 2)**2
Factor -w**2/4 + 13*w/2 - 169/4.
-(w - 13)**2/4
Factor 2*f**2/9 - 4708*f/9 - 1570/3.
2*(f - 2355)*(f + 1)/9
Factor -a**5/2 + 259*a**4/2 - 22699*a**3/2 + 701845*a**2/2 - 1271600*a + 1228250.
-(a - 85)**3*(a - 2)**2/2
Factor -2*b**2/7 - 2036*b/7 + 2038/7.
-2*(b - 1)*(b + 1019)/7
Factor -2*y**3 - 10*y**2 - 16*y - 8.
-2*(y + 1)*(y + 2)**2
Suppose -8*k**3 - 10*k**2 + 158*k + 40 = 0. Calculate k.
-5, -1/4, 4
Find k such that -5*k**5 - 225*k**4 - 1740*k**3 - 4400*k**2 - 2880*k = 0.
-36, -4, -1, 0
Determine r, given that -12*r**5 - 63*r**4 - 63*r**3 - 12*r**2 = 0.
-4, -1, -1/4, 0
Factor 20*v**2 + 428*v - 264.
4*(v + 22)*(5*v - 3)
Let 3*q**3 + 234*q**2 = 0. What is q?
-78, 0
Factor -z**2 - 153