*2/3 + 80*y/3 - 164/3.
(y - 2)*(y + 82)/3
Factor -3*f**2 - 24*f - 21.
-3*(f + 1)*(f + 7)
Factor n**2/4 - 375*n/4 - 377/2.
(n - 377)*(n + 2)/4
Solve -3*r**3/5 + 177*r**2/5 - 102*r + 336/5 = 0 for r.
1, 2, 56
Factor -y**3/9 - 11*y**2/9 + 148*y/3 + 156.
-(y - 18)*(y + 3)*(y + 26)/9
Suppose -4*z**3 - 7438*z**2/5 - 691176*z/5 + 69192/5 = 0. What is z?
-186, 1/10
Factor n**5 - 26*n**4 + 232*n**3 - 848*n**2 + 1360*n - 800.
(n - 10)**2*(n - 2)**3
Determine d, given that 30*d**5 - 3344*d**4 - 1810*d**3 + 2012*d**2 + 448*d = 0.
-1, -1/5, 0, 2/3, 112
Factor 2*q**3/7 + 940*q**2.
2*q**2*(q + 3290)/7
Factor -v**4 - 514*v**3 - 66049*v**2.
-v**2*(v + 257)**2
Factor -2*l**5/3 - 562*l**4/3 - 38630*l**3/3 + 119282*l**2/3 - 120416*l/3 + 40328/3.
-2*(l - 1)**3*(l + 142)**2/3
Factor 54*y**3 - 89*y**2 + 103*y/3 + 2/3.
(y - 1)*(3*y - 2)*(54*y + 1)/3
Factor -m**3/6 - 25*m**2/6 - 74*m/3 - 34.
-(m + 2)*(m + 6)*(m + 17)/6
Find b such that 3*b**5/5 + 63*b**4/5 + 378*b**3/5 + 258*b**2/5 - 1917*b/5 + 243 = 0.
-9, -5, 1
Factor -j**5/5 - 2*j**4/5 + 2*j**3/5 + 8*j**2/5 + 7*j/5 + 2/5.
-(j - 2)*(j + 1)**4/5
Determine a so that 2*a**3 - 54*a**2 - 2*a + 54 = 0.
-1, 1, 27
Let 144*m**2 + 7080*m + 87025 = 0. Calculate m.
-295/12
Factor -410*n**2/3 + 34*n - 4/3.
-2*(5*n - 1)*(41*n - 2)/3
Factor -5*u**3/3 + 23*u**2/3 - 4*u.
-u*(u - 4)*(5*u - 3)/3
What is j in -2*j**5 + 8*j**4 + 18*j**3 - 80*j**2 + 8*j + 96 = 0?
-3, -1, 2, 4
Let 462400*s**2 + 1360*s + 1 = 0. Calculate s.
-1/680
Factor -q**2/8 + 7*q/8 - 3/2.
-(q - 4)*(q - 3)/8
Factor z**2/8 - 3443*z/4 + 11854249/8.
(z - 3443)**2/8
Solve -5*q**2 - 120*q - 700 = 0 for q.
-14, -10
Find a, given that a**4/3 - 52*a**2/3 + 32*a = 0.
-8, 0, 2, 6
Suppose -2*b**2/5 + 52*b/5 = 0. What is b?
0, 26
Find v, given that v**4/4 + 21*v**3/4 + 55*v**2/2 - 6*v - 144 = 0.
-12, -8, -3, 2
Let 3*w**2 - 87*w - 186 = 0. What is w?
-2, 31
Let 2*f**2/7 - 80*f/7 = 0. Calculate f.
0, 40
Factor -l**2 - 14*l - 24.
-(l + 2)*(l + 12)
Determine a so that -a**4/3 - 2*a**3/3 + 7*a**2/3 - 4*a/3 = 0.
-4, 0, 1
Factor -3*u**2/2 + 549*u/2 + 555.
-3*(u - 185)*(u + 2)/2
Factor -2*k**4 + 1276*k**3 - 206058*k**2 + 808984*k - 803912.
-2*(k - 317)**2*(k - 2)**2
Suppose 2*u**5/3 - 10*u**4/3 - 44*u**3/3 - 32*u**2/3 = 0. What is u?
-2, -1, 0, 8
Determine u, given that 81*u**4 - 207*u**3 - 104*u**2 - 12*u = 0.
-2/9, 0, 3
Factor 2*p**3/9 + 4*p**2 + 40*p/3 + 112/9.
2*(p + 2)**2*(p + 14)/9
Factor -126*x**3 - 255*x**2 - 6*x.
-3*x*(x + 2)*(42*x + 1)
Factor 4*b**3/9 + 32*b**2/9 - 124*b/9 + 88/9.
4*(b - 2)*(b - 1)*(b + 11)/9
Factor -25*k**5 - 55*k**4 - 19*k**3 + 23*k**2 + 8*k - 4.
-(k + 1)**3*(5*k - 2)**2
Solve -4*w**2 + 5692*w + 11400 = 0.
-2, 1425
Factor 3*a**2/2 + 171*a - 1053/2.
3*(a - 3)*(a + 117)/2
Factor -r**3/2 - 69*r**2/4 - 37*r + 96.
-(r + 4)*(r + 32)*(2*r - 3)/4
Suppose 2*u**2 + 228*u + 448 = 0. What is u?
-112, -2
Factor -6*h**3 - 73*h**2 - 79*h - 22.
-(h + 11)*(2*h + 1)*(3*h + 2)
What is t in t**5/3 + 235*t**4/3 + 13687*t**3/3 - 14159*t**2/3 - 13688*t/3 + 13924/3 = 0?
-118, -1, 1
Factor 5*x**2 - 605*x + 6540.
5*(x - 109)*(x - 12)
Factor 3*o**2/2 + 48*o + 405/2.
3*(o + 5)*(o + 27)/2
Factor 2*q**3 - 130*q**2 + 2176*q - 2048.
2*(q - 32)**2*(q - 1)
Let 86*m**5 + 1030*m**4 + 2986*m**3 - 1102*m**2 - 3072*m + 72 = 0. Calculate m.
-6, -1, 1/43, 1
Factor -d**2 + 828*d - 171396.
-(d - 414)**2
Let z**4/4 + 37*z**3/4 - 30*z**2 + z + 40 = 0. Calculate z.
-40, -1, 2
Suppose 17*v**2/3 - 14*v/3 - 1 = 0. Calculate v.
-3/17, 1
Factor -184*s**3 + 12*s**2 + 736*s - 48.
-4*(s - 2)*(s + 2)*(46*s - 3)
Factor -h**4/5 + 3*h**2/5 - 2*h/5.
-h*(h - 1)**2*(h + 2)/5
Factor -27*j**5 + 249*j**4 - 54*j**3.
-3*j**3*(j - 9)*(9*j - 2)
Find q such that 2*q**2 - 6484*q + 5255282 = 0.
1621
Determine w, given that 2*w**3/3 - 92*w**2/3 - 394*w/3 - 100 = 0.
-3, -1, 50
Factor m**4/3 + 8*m**3 - 205*m**2/3 + 124*m.
m*(m - 4)*(m - 3)*(m + 31)/3
Solve c**3/5 + 654*c**2/5 + 142572*c/5 + 10360232/5 = 0 for c.
-218
Determine o so that -2*o**5 + 6*o**4 + 68*o**3 + 104*o**2 - 48*o - 128 = 0.
-2, 1, 8
Solve -3*t**5/4 + 51*t**3/4 - 12*t = 0.
-4, -1, 0, 1, 4
Factor 3*o**3/5 + 27*o**2/5 - 6*o.
3*o*(o - 1)*(o + 10)/5
Find h such that -3*h**5 - 81*h**4 - 798*h**3 - 3570*h**2 - 6975*h - 4125 = 0.
-11, -5, -1
Solve -3*z**2 - 93*z = 0 for z.
-31, 0
Factor 2*g**2/9 - 8*g/3 + 6.
2*(g - 9)*(g - 3)/9
Let -405*c**5 + 7875*c**4 - 46370*c**3 + 77780*c**2 - 28040*c + 2880 = 0. Calculate c.
2/9, 2, 8, 9
Factor 2*w**4/9 - 2*w**2/3 + 4*w/9.
2*w*(w - 1)**2*(w + 2)/9
What is f in 4*f**3 + 620*f**2 + 2396*f - 3020 = 0?
-151, -5, 1
Factor -3*z**3/2 - 39*z**2/2 + 87*z/2 - 45/2.
-3*(z - 1)**2*(z + 15)/2
What is h in -2*h**2/3 - 1190*h/3 - 1576 = 0?
-591, -4
Determine u, given that 4*u**4 - 8*u**3 + 4*u**2 = 0.
0, 1
Factor 36*n**3/5 + 384*n**2/5 + 209*n + 847/5.
(n + 7)*(6*n + 11)**2/5
Suppose 4*n**5 + 4*n**4 - 60*n**3 + 92*n**2 - 40*n = 0. Calculate n.
-5, 0, 1, 2
Factor u**3/5 - 3*u**2/5 - 88*u/5 + 36.
(u - 10)*(u - 2)*(u + 9)/5
Factor -5*h**2 - 155*h + 5100.
-5*(h - 20)*(h + 51)
Factor 2*r**2/19 - 48*r/19 + 126/19.
2*(r - 21)*(r - 3)/19
Suppose -4*c**2 - 68*c - 240 = 0. Calculate c.
-12, -5
Determine d so that -5*d**3 + 545*d**2 - 14575*d - 15125 = 0.
-1, 55
Suppose -j**2/4 + 931*j/2 - 866761/4 = 0. What is j?
931
Suppose -3*q**4 + 6*q**3 = 0. What is q?
0, 2
Let -18*u**3 + 10560*u**2 - 7034*u + 1172 = 0. What is u?
1/3, 586
Solve h**5/6 - 4*h**4/3 - h**3/3 + 8*h**2/3 + h/6 - 4/3 = 0 for h.
-1, 1, 8
What is l in 246*l**5 - 1234*l**4 + 2234*l**3 - 1758*l**2 + 520*l - 8 = 0?
2/123, 1, 2
What is o in 4*o**3/3 + 44*o**2/3 + 28*o/3 - 196 = 0?
-7, 3
Suppose -z**2/3 - 14*z = 0. Calculate z.
-42, 0
Factor j**4/2 - 11*j**3/2 - 51*j**2/2 + 131*j/2 - 35.
(j - 14)*(j - 1)**2*(j + 5)/2
Solve -4*v**5 - 28*v**4 + 36*v**3 + 28*v**2 - 32*v = 0.
-8, -1, 0, 1
Factor -l**3/6 + 7*l**2/6 + 4*l - 30.
-(l - 6)**2*(l + 5)/6
Solve -3*z**5 + 33*z**4 - 126*z**3 + 204*z**2 - 120*z = 0.
0, 2, 5
Solve -25*h**4 - 115*h**3 + 220*h - 80 = 0.
-4, -2, 2/5, 1
Find u such that 2*u**2/13 + 8*u/13 + 6/13 = 0.
-3, -1
What is i in 2*i**5/7 + 2*i**4/7 - 6*i**3/7 - 10*i**2/7 - 4*i/7 = 0?
-1, 0, 2
Let -2*t**3/3 + 14*t**2/3 + 34*t/3 + 6 = 0. Calculate t.
-1, 9
Find k such that -2*k**5/3 + 38*k**4/3 - 206*k**3/3 + 106*k**2/3 + 992*k/3 + 640/3 = 0.
-1, 5, 8
Let 1554*h**2 - 909*h/2 + 3 = 0. What is h?
1/148, 2/7
Solve v**3/2 + 149*v**2/2 + 292*v + 290 = 0.
-145, -2
Factor 8*p**3/11 - 14*p**2/11 + 4*p/11 + 2/11.
2*(p - 1)**2*(4*p + 1)/11
Determine u so that -54*u**5 + 486*u**4 - 1314*u**3 + 1010*u**2 - 304*u + 32 = 0.
1/3, 4
Determine h, given that -3*h**2/4 - 33*h + 1089 = 0.
-66, 22
What is s in -4*s**2 + 8*s + 32 = 0?
-2, 4
Factor 26*g**2/5 + 42*g/5 + 16/5.
2*(g + 1)*(13*g + 8)/5
Determine b so that 2*b**4/5 + 5392*b**3/5 + 3639596*b**2/5 + 7263024*b/5 + 3628818/5 = 0.
-1347, -1
Let 3*w**4 + 12*w**3 + 3*w**2 - 18*w = 0. Calculate w.
-3, -2, 0, 1
Suppose 2*m**5 + 4*m**4 - 16*m**3 + 4*m**2 + 14*m - 8 = 0. Calculate m.
-4, -1, 1
Find t, given that 2*t**3/15 + 38*t**2/5 + 722*t/5 + 13718/15 = 0.
-19
Suppose s**2/8 + 17*s/8 + 15/4 = 0. Calculate s.
-15, -2
Factor -w**5/4 + 11*w**4/4 - 21*w**3/2 + 27*w**2/2 + 27*w/4 - 81/4.
-(w - 3)**4*(w + 1)/4
Solve s**3/4 + 17*s**2 + 1445*s/4 + 4913/2 = 0 for s.
-34, -17
Factor -2*w**4/9 + 142*w**3/9 - 278*w**2/9 + 46*w/3.
-2*w*(w - 69)*(w - 1)**2/9
Determine i so that 3*i**2 - 6*i = 0.
0, 2
Factor -3*y**3/8 + 9*y**2/4 - 33*y/8 + 9/4.
-3*(y - 3)*(y - 2)*(y - 1)/8
Solve -3*f**4 - 12*f**3 - 18*f**2 - 12*f - 3 = 0 for f.
-1
Factor p**3/3 - 35*p**2/3 + 247*p/3 + 361.
(p - 19)**2*(p + 3)/3
Solve 2*z**5/3 - 34*z**4 + 290*z**3/3 - 30*z**2 - 292*z/3 + 64 = 0.
-1, 1, 2, 48
Factor s**4/3 + 8*s**3/3 + 8*s**2 + 32*s/3 + 16/3.
(s + 2)**4/3
Factor 2*j**3/7 - 2130*j**2/7 + 566046*j/7 + 568178/7.
2*(j - 533)**2*(j + 1)/7
Determine y so that -6*y**4 + 224*y**3 - 1502*y**2/3 + 376*y - 280/3 = 0.
2/3, 1, 35
Solve 44*x**4 - 56*x**3 - 416*x**2 - 256*x = 0 for x.
-2, -8/11, 0, 4
Find q such that 4*q**3/7 + 4*q**2/7 - 4*q/7 - 4/7 = 0.
-1, 1
What is w in 2*w**4 - 166*w**3 - 168*w**2 = 0?
-1, 0, 84
Let g**3/3 + g**2/3 - 2*g = 0. What is g?
-3, 0, 2
Find c such that -6845*c**3 - 6105*c**2 + 720*c - 20 = 0.
-1, 2/37
Let 44*z**5 - 872*z**4 + 4372*z**3 - 2872*z**2 - 672*z = 0. Calculate z.
-2/11