4/7 + 9*x**3/7 - 60*x**2/7 - 144*x/7 + 192/7 = 0. Calculate x.
-4, 1, 4
Factor -2*v**3/7 + 72*v**2 - 6048*v + 169344.
-2*(v - 84)**3/7
Factor 27*k**2 + 2250*k + 46875.
3*(3*k + 125)**2
Find z, given that 5*z**4 - 1260*z**3 + 8575*z**2 = 0.
0, 7, 245
Let -2*i**2/5 + 126*i/5 - 244/5 = 0. Calculate i.
2, 61
Suppose -4*p**4 - 324*p**3 - 304*p**2 + 1296*p + 1280 = 0. Calculate p.
-80, -2, -1, 2
Factor -2*o**2/5 - 32*o/5 - 78/5.
-2*(o + 3)*(o + 13)/5
Factor 16*y**2 + 25508*y + 6376.
4*(y + 1594)*(4*y + 1)
Factor 63845*q**2/3 - 4520*q/3 + 80/3.
5*(113*q - 4)**2/3
Factor 5*h**5 - 120*h**4 - 855*h**3 - 1350*h**2.
5*h**2*(h - 30)*(h + 3)**2
Let -3*g**2 - 354*g - 10443 = 0. What is g?
-59
Let 5*j**5 - 25*j**4 - 35*j**3 + 25*j**2 + 30*j = 0. What is j?
-1, 0, 1, 6
Factor -3*l**3/2 + 15*l**2/2 + 39*l/2 + 21/2.
-3*(l - 7)*(l + 1)**2/2
Factor 2*c**2/3 - 152*c/3 + 2888/3.
2*(c - 38)**2/3
Suppose 11*w**5/3 + 7*w**4/3 - 37*w**3/3 + w**2/3 + 26*w/3 - 8/3 = 0. Calculate w.
-2, -1, 4/11, 1
Find w, given that w**4/4 - 19*w**3/2 = 0.
0, 38
Suppose t**2/9 + 13*t/3 - 30 = 0. Calculate t.
-45, 6
Factor -8*d**3/11 + 8302*d**2/11 - 2152812*d/11 - 538722/11.
-2*(d - 519)**2*(4*d + 1)/11
Factor -2*t**3 - 90*t**2 - 88*t.
-2*t*(t + 1)*(t + 44)
What is d in 3*d**4/5 + 11424*d**3/5 + 10875648*d**2/5 = 0?
-1904, 0
Factor 4*r**4 + 52*r**3 - 56*r**2.
4*r**2*(r - 1)*(r + 14)
Find q such that -2*q**5 + 426*q**4 - 4126*q**3 + 13478*q**2 - 16272*q + 6496 = 0.
1, 4, 203
Let -3*s**4/7 - 50*s**3/7 + 27*s**2/7 + 162*s/7 - 136/7 = 0. Calculate s.
-17, -2, 1, 4/3
Solve -104*f**2 + 716*f + 84 = 0.
-3/26, 7
Find y such that -8*y**4/9 + 22*y**3/3 + 136*y**2/9 + 14*y/3 - 20/9 = 0.
-1, 1/4, 10
Factor -j**4/3 - 34*j**3/3 + 36*j**2 - 110*j/3 + 37/3.
-(j - 1)**3*(j + 37)/3
Find l, given that 4*l**5/9 - 6*l**4 + 266*l**3/9 - 568*l**2/9 + 160*l/3 - 128/9 = 0.
1/2, 1, 4
Factor -h**3/7 + 12*h**2/7 - 45*h/7 + 54/7.
-(h - 6)*(h - 3)**2/7
Factor 3*s**2 - 30*s.
3*s*(s - 10)
Let -p**3 + 20*p**2 - 19*p = 0. Calculate p.
0, 1, 19
Factor u**2 - 21*u + 20.
(u - 20)*(u - 1)
Solve -5*f**4 - 55*f**3 - 45*f**2 + 55*f + 50 = 0.
-10, -1, 1
Factor -w**3/2 - 1685*w**2 - 1417926*w + 2842596.
-(w - 2)*(w + 1686)**2/2
Find q, given that 3*q**2 + 372*q - 756 = 0.
-126, 2
Factor -4*z**5 - 32*z**4 + 48*z**3 + 88*z**2 - 172*z + 72.
-4*(z - 1)**3*(z + 2)*(z + 9)
Let o**4 - 7*o**3 - 19*o**2 + 7*o + 18 = 0. What is o?
-2, -1, 1, 9
Solve -h**3/4 + 3*h**2 - 8*h = 0.
0, 4, 8
Factor -4*n**3 + 3884*n**2 - 940896*n - 944784.
-4*(n - 486)**2*(n + 1)
Let -2*y**3/7 + 22*y**2/7 - 20*y/7 = 0. What is y?
0, 1, 10
Factor -2*s**2/7 - 24*s/7 - 22/7.
-2*(s + 1)*(s + 11)/7
Factor -4*s**4 + 1440*s**3 - 172800*s**2 + 6912000*s.
-4*s*(s - 120)**3
Factor 3*h**4 - 9*h**3 - 9*h**2 + 33*h - 18.
3*(h - 3)*(h - 1)**2*(h + 2)
Find i, given that -5*i**3 - 30*i**2 + 245*i - 330 = 0.
-11, 2, 3
Factor -n**2/3 + 14*n/3 + 176/3.
-(n - 22)*(n + 8)/3
Factor i**2/2 + 31*i/2 - 16.
(i - 1)*(i + 32)/2
Find c, given that -126*c**5 + 1321*c**4/2 - 459*c**3 - 622*c**2 - 180*c - 16 = 0.
-2/7, -1/4, -2/9, 2, 4
Solve 4*x**5 + 68*x**4 + 180*x**3 + 172*x**2 + 56*x = 0 for x.
-14, -1, 0
Suppose -4*p**4 - 420*p**3 - 828*p**2 - 412*p = 0. Calculate p.
-103, -1, 0
Factor -2*m**2/7 + 2502*m/7 - 2500/7.
-2*(m - 1250)*(m - 1)/7
Factor 9*j**4 + 24*j**3 + 12*j**2.
3*j**2*(j + 2)*(3*j + 2)
Suppose -2*c**5 + 112*c**4 - 218*c**3 + 108*c**2 = 0. What is c?
0, 1, 54
Determine k so that -21*k**3/5 - 3501*k**2/5 - 1866*k + 2952/5 = 0.
-164, -3, 2/7
Factor 2*n**2/11 + 4*n + 42/11.
2*(n + 1)*(n + 21)/11
Let 3*v**3 + 483*v**2/2 + 588*v + 234 = 0. What is v?
-78, -2, -1/2
Factor -z**2/5 + 83*z/5 - 1216/5.
-(z - 64)*(z - 19)/5
Determine w so that 4*w**4/7 - 37*w**3/7 + 41*w**2/7 - 8*w/7 = 0.
0, 1/4, 1, 8
Factor k**2/3 - 8*k/3 + 16/3.
(k - 4)**2/3
Let 4*p**3 + 8*p**2 - 36*p - 72 = 0. Calculate p.
-3, -2, 3
Determine s, given that -2*s**3/3 + 839*s**2/6 - 7315*s - 3675/2 = 0.
-1/4, 105
Factor -2*k**4/3 + 2*k**3/3 + 40*k**2/3.
-2*k**2*(k - 5)*(k + 4)/3
Factor -r**4/3 + 10*r**3/3 - 11*r**2 + 40*r/3 - 16/3.
-(r - 4)**2*(r - 1)**2/3
Factor -170*p**2/3 + 43*p/3 + 10/3.
-(5*p - 2)*(34*p + 5)/3
Solve 2*g**4/5 + 22*g**3/5 + 78*g**2/5 + 98*g/5 + 8 = 0 for g.
-5, -4, -1
Factor -3*t**2/8 - 141*t/4 - 6627/8.
-3*(t + 47)**2/8
Suppose 33*v**2/7 + 15*v + 18/7 = 0. What is v?
-3, -2/11
Suppose 2*x**3/3 + 16*x**2 + 24*x - 352/3 = 0. What is x?
-22, -4, 2
Find z, given that 5*z**2 - 220*z - 460 = 0.
-2, 46
Factor 5*q**4 - 6570*q**3 + 2151665*q**2 + 4323060*q + 2164820.
5*(q - 658)**2*(q + 1)**2
Factor -4*s**4 + 276*s**3 - 804*s**2 + 796*s - 264.
-4*(s - 66)*(s - 1)**3
What is h in -2*h**3 + 26*h**2 + 32*h - 56 = 0?
-2, 1, 14
Factor -w**2/5 + w/5 + 12/5.
-(w - 4)*(w + 3)/5
Determine k, given that -3*k**3/11 + k**2 + 6*k/11 - 8/11 = 0.
-1, 2/3, 4
Determine d so that 147*d**5/5 + 84*d**4 + 426*d**3/5 + 36*d**2 + 27*d/5 = 0.
-1, -3/7, 0
Find m, given that -4*m**5 + 1172*m**4/5 - 9068*m**3/5 + 23724*m**2/5 - 15984*m/5 - 2160 = 0.
-2/5, 3, 50
Factor -2*x**2/5 + 24*x + 2072/5.
-2*(x - 74)*(x + 14)/5
Let -o**2/5 - 216*o/5 = 0. What is o?
-216, 0
Factor 6*m**2/7 + 26*m/7 + 24/7.
2*(m + 3)*(3*m + 4)/7
Factor -10*s**3/3 + 175115*s**2/6 - 191646950*s/3 - 47917210/3.
-5*(s - 4378)**2*(4*s + 1)/6
Factor o**4 - 779*o**3 - 3*o**2 + 2339*o - 1558.
(o - 779)*(o - 1)**2*(o + 2)
Factor 3*s**4/5 + 2238*s**3/5 - 897*s**2 + 2244*s/5.
3*s*(s - 1)**2*(s + 748)/5
Let -a**4 + 8*a**3 + 11*a**2 - 18*a = 0. What is a?
-2, 0, 1, 9
Factor 2*w**3/5 - 902*w**2/5 + 100334*w/5 + 309174/5.
2*(w - 227)**2*(w + 3)/5
Factor -4*h**3/7 - 80*h**2/7 + 12*h.
-4*h*(h - 1)*(h + 21)/7
Solve -3*s**4 + 9*s**3 + 6*s**2 - 36*s + 24 = 0 for s.
-2, 1, 2
Factor 1300*b**5 + 1960*b**4 + 948*b**3 + 144*b**2.
4*b**2*(5*b + 3)**2*(13*b + 4)
Determine n so that 45*n**5 + 12225*n**4 + 44405*n**3 + 49655*n**2 + 20110*n + 2680 = 0.
-268, -2, -1, -1/3
Factor -b**3 - 458*b**2 + b + 458.
-(b - 1)*(b + 1)*(b + 458)
Solve -2*w**2/3 + 452*w/3 - 25538/3 = 0.
113
Factor -l**2 + 106*l - 408.
-(l - 102)*(l - 4)
Factor m**5/3 - m**4/3 - 7*m**3 + 15*m**2.
m**2*(m - 3)**2*(m + 5)/3
Factor -i**3/8 + i**2/4 - i/8.
-i*(i - 1)**2/8
Determine g so that -10*g**2 - 1076*g - 1066 = 0.
-533/5, -1
Suppose 2*s**4/3 - 22*s**3/3 + 82*s**2/3 - 122*s/3 + 20 = 0. Calculate s.
1, 2, 3, 5
Factor p**2 - 18*p + 81.
(p - 9)**2
Factor -4*f**4 + 107*f**3 - 1032*f**2 + 4160*f - 5632.
-(f - 8)**3*(4*f - 11)
Factor w**4/2 - 107*w**3/2 + 1155*w**2 + 15718*w - 16820.
(w - 58)**2*(w - 1)*(w + 10)/2
Solve 3*z**2/5 + 27*z = 0 for z.
-45, 0
Factor -3*r**2/7 - 9*r/7 + 12.
-3*(r - 4)*(r + 7)/7
Suppose 5*k**3/2 - 2565*k**2/2 - 5145*k/2 - 2575/2 = 0. Calculate k.
-1, 515
Find q, given that -2*q**4/23 - 20*q**3/23 + 50*q**2/23 + 20*q/23 - 48/23 = 0.
-12, -1, 1, 2
Factor s**3/8 + 667*s**2/8 + 111555*s/8 + 110889/8.
(s + 1)*(s + 333)**2/8
Factor -12167*s**3/7 - 6348*s**2/7 - 1104*s/7 - 64/7.
-(23*s + 4)**3/7
Factor -3*x**3 - 33*x**2 - 24*x + 60.
-3*(x - 1)*(x + 2)*(x + 10)
Solve -36*b**4 + 17*b**3 - 2*b**2 = 0.
0, 2/9, 1/4
Find y such that -3*y**3 + 54*y**2 - 240*y = 0.
0, 8, 10
Factor 4*t**3/7 + 40*t**2/7 - 44*t/7.
4*t*(t - 1)*(t + 11)/7
Factor -48*j**4 - 264*j**3 - 531*j**2 - 462*j - 147.
-3*(j + 1)**2*(4*j + 7)**2
Find v such that -2*v**2/11 + 454*v/11 + 456/11 = 0.
-1, 228
Factor -f**2/6 + 25*f/6 + 51.
-(f - 34)*(f + 9)/6
Factor -2*g**4 - 36*g**3 - 120*g**2 - 112*g.
-2*g*(g + 2)**2*(g + 14)
Factor -2*j**2/17 - 140*j/17 + 288/17.
-2*(j - 2)*(j + 72)/17
Let 4*r**5 - 4*r**4 - 20*r**3 + 20*r**2 + 16*r - 16 = 0. What is r?
-2, -1, 1, 2
Suppose 82*k**3/9 - 4*k**2/9 - 328*k/9 + 16/9 = 0. Calculate k.
-2, 2/41, 2
Let 2*l**4 - 18*l**3 + 8*l**2 + 72*l - 64 = 0. What is l?
-2, 1, 2, 8
Suppose -20*v**4 - 2256*v**3 - 8348*v**2 - 6960*v + 1744 = 0. What is v?
-109, -2, 1/5
Find x such that -70*x**3/3 - 215*x**2/3 + 5*x/3 + 20 = 0.
-3, -4/7, 1/2
Let 2*b**2/5 - 4*b/5 - 6/5 = 0. What is b?
-1, 3
Determine o so that 2*o**2/3 + 208*o/3 + 5408/3 = 0.
-52
Determine z, given that 318*z**2/7 - 314*z/7 - 4/7 = 0.
-2/159, 1
What is v in -21*v**4 - 48*v**3 - 12*v**2 = 0?
-2, -2/7, 0
Suppose 3*w**5/7 - 6*w**4/7 - 66*w**3/7 - 48*w**2/7 + 9*w + 54/7 = 0. Calculate w.
-3, -1, 1, 6
Factor -j**3 - 844*j**2 - 178084*j.
-j*(j + 422)**2
Let r**5/2 + 213