3*(7*y - 270)**2
Let -16*u**5 - 116*u**4 - 300*u**3 - 340*u**2 - 164*u - 24 = 0. What is u?
-3, -2, -1, -1/4
Factor 2*y**5 + 2*y**4 - 2*y**3 - 2*y**2.
2*y**2*(y - 1)*(y + 1)**2
Let 2*h**3/3 + 8*h**2 + 24*h = 0. What is h?
-6, 0
Factor 5*d**2 + 21870*d + 23914845.
5*(d + 2187)**2
Factor 4*i**4 + 168*i**3 + 1404*i**2 + 1240*i.
4*i*(i + 1)*(i + 10)*(i + 31)
Factor -3*m**2/8 + 22815*m/4 - 173508075/8.
-3*(m - 7605)**2/8
Factor v**5 + 39*v**4 + 558*v**3 + 3362*v**2 + 5841*v - 9801.
(v - 1)*(v + 9)**2*(v + 11)**2
Solve 4*l**3/5 + 196*l**2/5 = 0 for l.
-49, 0
Suppose 33*l**3/2 - 1113*l**2/2 + 924*l - 384 = 0. Calculate l.
8/11, 1, 32
Factor 2*u**4/7 - 100*u**3/7 - 206*u**2/7 - 104*u/7.
2*u*(u - 52)*(u + 1)**2/7
Find l such that -2*l**4/3 - 56*l**3/3 - 442*l**2/3 - 700*l/3 + 400 = 0.
-15, -10, -4, 1
Determine p, given that -4*p**5 + 28*p**3 - 8*p**2 - 48*p + 32 = 0.
-2, 1, 2
Find x such that 3*x**2/7 - 3126*x/7 + 3123/7 = 0.
1, 1041
Find l, given that 20*l**3 - 576*l**2/7 + 48*l/7 + 64/7 = 0.
-2/7, 2/5, 4
Factor -13*i**3/2 - 337*i**2 + 52*i.
-i*(i + 52)*(13*i - 2)/2
Determine f so that 5*f**4/2 + 395*f**3/2 - 1715*f**2/2 - 4595*f/2 - 1245 = 0.
-83, -1, 6
Factor -2*r**3/7 - 18*r**2/7 - 52*r/7 - 48/7.
-2*(r + 2)*(r + 3)*(r + 4)/7
Suppose -62*s**3 - 163*s**2 - 82*s - 8 = 0. Calculate s.
-2, -1/2, -4/31
What is i in -7*i**3/2 + 9*i**2/2 + 7*i/2 - 9/2 = 0?
-1, 1, 9/7
Factor -3*j**3 - 954*j**2 - 71883*j + 637656.
-3*(j - 8)*(j + 163)**2
Factor 2*m**2/3 + 36*m + 486.
2*(m + 27)**2/3
Suppose 4*a**4 + 52*a**3 + 164*a**2 + 188*a + 72 = 0. What is a?
-9, -2, -1
Factor -5*l**2 + 1080*l + 1085.
-5*(l - 217)*(l + 1)
Let -3*f**5/5 - 63*f**4/5 - 264*f**3/5 - 396*f**2/5 - 192*f/5 = 0. Calculate f.
-16, -2, -1, 0
Determine v, given that 507*v**4 + 1209*v**3 + 126*v**2 - 480*v + 96 = 0.
-2, -1, 4/13
Factor 17*k**3 + 101*k**2 + 130*k - 8.
(k + 2)*(k + 4)*(17*k - 1)
Let -u**2/8 + 11*u/2 = 0. What is u?
0, 44
Factor -3*d**2 + 168*d - 2352.
-3*(d - 28)**2
Find o such that -2*o**4/11 + 26*o**2/11 + 24*o/11 = 0.
-3, -1, 0, 4
Find k such that -2*k**2/9 + 832*k/9 - 86528/9 = 0.
208
Determine o, given that 196*o**5/5 + 1428*o**4/5 + 3168*o**3/5 + 1936*o**2/5 = 0.
-22/7, -1, 0
What is l in -25*l**3 - 2210*l**2 + 3620*l + 1800 = 0?
-90, -2/5, 2
Factor -3*m**3 + 138*m**2 - 672*m - 1920.
-3*(m - 40)*(m - 8)*(m + 2)
Let d**3 - 84*d**2 - d + 84 = 0. What is d?
-1, 1, 84
Factor u**3/2 - 315*u**2/2 - 633*u/2 - 317/2.
(u - 317)*(u + 1)**2/2
Determine c so that 5*c**4 - 7068*c**3 - 16983*c**2 - 12742*c - 2832 = 0.
-1, -2/5, 1416
Find h such that -h**4/2 - 5*h**3 + 12*h**2 = 0.
-12, 0, 2
Solve n**3/3 - 5*n**2/3 + n + 3 = 0 for n.
-1, 3
Find o, given that 5*o**4 - 780*o**3 - 5630*o**2 - 12180*o - 7335 = 0.
-3, -1, 163
Factor -h**3/3 + 22*h**2/3 - 121*h/3.
-h*(h - 11)**2/3
Solve 2*z**4/7 + 10*z**3/7 - 6*z**2 + 46*z/7 - 16/7 = 0 for z.
-8, 1
Factor 3*b**3/4 - 543*b**2/2 + 98283*b/4.
3*b*(b - 181)**2/4
Factor -s**3/5 + 2*s**2/5 + 71*s/5 - 72/5.
-(s - 9)*(s - 1)*(s + 8)/5
Factor -w**3/3 - w**2/3 + 4*w/3 + 4/3.
-(w - 2)*(w + 1)*(w + 2)/3
Factor y**3 + 6*y**2 - y - 30.
(y - 2)*(y + 3)*(y + 5)
Determine i so that -1100*i**2 - 35*i = 0.
-7/220, 0
Factor 2*j**3/21 - 10*j**2/7 + 12*j/7 + 208/21.
2*(j - 13)*(j - 4)*(j + 2)/21
Factor -4*y**3 - 40*y**2 - 128*y - 128.
-4*(y + 2)*(y + 4)**2
Factor 8*f**2 - 164*f - 84.
4*(f - 21)*(2*f + 1)
Determine p so that -p**5 - 5*p**4 + 9*p**3 + 45*p**2 = 0.
-5, -3, 0, 3
Suppose 3*r**4 + 26*r**3 + 63*r**2 + 36*r - 20 = 0. Calculate r.
-5, -2, 1/3
Factor -3*w**2 - 267*w + 2016.
-3*(w - 7)*(w + 96)
Factor 9*d**3/5 + 87*d**2 + 138*d/5 - 288/5.
3*(d + 1)*(d + 48)*(3*d - 2)/5
Factor 5*m**3 - 410*m**2 - 1700*m - 1720.
5*(m - 86)*(m + 2)**2
Suppose 2*a**5 + 242*a**4 - 2040*a**3 + 3096*a**2 = 0. What is a?
-129, 0, 2, 6
Factor 3*l**4/7 + 3*l**3/7 - 90*l**2/7.
3*l**2*(l - 5)*(l + 6)/7
Solve s**5/7 - 240*s**4/7 + 15105*s**3/7 - 84950*s**2/7 + 166140*s/7 - 109512/7 = 0 for s.
2, 117
Factor -3*i**2 + 54*i.
-3*i*(i - 18)
Suppose c**4/4 - 5*c**3/4 + 5*c**2/4 + 5*c/4 - 3/2 = 0. Calculate c.
-1, 1, 2, 3
Determine c so that c**3/6 - c**2/6 - 3*c/2 + 3/2 = 0.
-3, 1, 3
Factor -l**3/4 + 153*l**2/4 - 7803*l/4 + 132651/4.
-(l - 51)**3/4
Factor 3*p**2 - 498*p + 495.
3*(p - 165)*(p - 1)
Solve 5*r**2 + 3440*r + 591680 = 0 for r.
-344
Factor p**4/8 - 35*p**3/8 + 16*p**2 - 31*p/2.
p*(p - 31)*(p - 2)**2/8
Solve 3*s**3 + 63*s**2 + 213*s + 153 = 0 for s.
-17, -3, -1
Factor -g**2/2 + 19*g/2.
-g*(g - 19)/2
Factor 4*i**5 + 108*i**4/7 + 96*i**3/7 - 16*i**2/7.
4*i**2*(i + 2)**2*(7*i - 1)/7
Factor 12*l**3 - 1004*l**2 - 344*l + 672.
4*(l - 84)*(l + 1)*(3*l - 2)
Factor 4*o**2 + 63968*o + 255744064.
4*(o + 7996)**2
Factor 2*f**3/5 - 258*f**2/5 - 788*f/5 - 528/5.
2*(f - 132)*(f + 1)*(f + 2)/5
Find u, given that u**3/5 + 311*u**2/5 - 626*u/5 = 0.
-313, 0, 2
Solve 108*y**4 - 1728*y**3 + 9216*y**2 - 16384*y = 0.
0, 16/3
Solve -3*d**2/2 - 4437*d - 6562323/2 = 0 for d.
-1479
Let z**4 + 32*z**3 - 37*z**2 - 128*z + 132 = 0. Calculate z.
-33, -2, 1, 2
Find d, given that -3*d**3 + 956*d**2 - 76479*d + 50562 = 0.
2/3, 159
Find a, given that 3*a**4/2 + 38*a**3 + 323*a**2/2 + 25*a - 100 = 0.
-20, -5, -1, 2/3
Suppose 3*d**5 - 17*d**4 - 114*d**3 - 156*d**2 - 40*d = 0. Calculate d.
-2, -1/3, 0, 10
Determine r so that -3*r**2 - 4584*r - 1751088 = 0.
-764
What is a in -18*a**5 + 344*a**4 - 668*a**3 + 376*a**2 - 34*a = 0?
0, 1/9, 1, 17
Factor 2*s**2/3 + 2*s/3 - 8.
2*(s - 3)*(s + 4)/3
Find f such that f**4/3 + 86*f**3/3 = 0.
-86, 0
Factor -13*t**5 - 2*t**4 + 35*t**3 + 24*t**2.
-t**2*(t + 1)**2*(13*t - 24)
Factor 4*t**3/11 - 18*t**2/11 - 12*t/11 + 10/11.
2*(t - 5)*(t + 1)*(2*t - 1)/11
Factor -2*k**2/3 + 38*k/3 - 12.
-2*(k - 18)*(k - 1)/3
Factor -q**3 - 22*q**2 - 21*q.
-q*(q + 1)*(q + 21)
Determine g so that -4*g**5 - 124*g**4 - 532*g**3 - 276*g**2 + 936*g = 0.
-26, -3, 0, 1
Determine o, given that -2*o**5/7 - 36*o**4/7 = 0.
-18, 0
What is z in -3*z**3 - 57*z**2 + 210*z + 264 = 0?
-22, -1, 4
Solve 3*u**2 + 48*u + 189 = 0 for u.
-9, -7
Factor -2*k**3/5 - 6*k**2 - 54*k/5 - 26/5.
-2*(k + 1)**2*(k + 13)/5
Find a, given that -4*a**3/19 + 1806*a**2/19 + 904*a/19 = 0.
-1/2, 0, 452
Factor -w**2/3 + 25*w/3 - 100/3.
-(w - 20)*(w - 5)/3
Factor 2*p**2/19 - 298*p/19 - 604/19.
2*(p - 151)*(p + 2)/19
Determine l, given that 5*l**4 + 10*l**3 = 0.
-2, 0
Factor -b**3/3 + 97*b**2 + 195*b + 293/3.
-(b - 293)*(b + 1)**2/3
Find t such that -384*t**4/11 - 4192*t**3/11 - 14760*t**2/11 - 1350*t + 6750/11 = 0.
-15/4, 1/3
Factor -c**3/3 + c**2/3 + 4*c/3 - 4/3.
-(c - 2)*(c - 1)*(c + 2)/3
Solve 3*n**5 - 21*n**4 + 15*n**3 + 93*n**2 - 90*n = 0.
-2, 0, 1, 3, 5
Factor -2*b**4/3 - 50*b**3/3 - 94*b**2/3 - 46*b/3.
-2*b*(b + 1)**2*(b + 23)/3
Factor -4*f**4 + 4560*f**3 - 1732800*f**2 + 219488000*f.
-4*f*(f - 380)**3
Find s such that -5*s**4 + 280*s**3 + 870*s**2 + 880*s + 295 = 0.
-1, 59
Determine v so that 2*v**2 + 60*v - 198 = 0.
-33, 3
Find b, given that 5*b**5/4 - 135*b**4/4 - 145*b**3/2 - 5*b**2/2 + 285*b/4 + 145/4 = 0.
-1, 1, 29
Factor 10*r**3 - 3*r**2 - 10*r + 3.
(r - 1)*(r + 1)*(10*r - 3)
Determine s, given that 30*s**2 + 515*s + 250 = 0.
-50/3, -1/2
Determine z so that 2*z**5/11 - 4*z**4/11 + 2*z**3/11 = 0.
0, 1
Determine b, given that -20*b**3 + 23188*b**2 + 13928*b - 9280 = 0.
-1, 2/5, 1160
What is c in -3*c**4 + 1806*c**3 + 1812*c**2 - 1806*c - 1809 = 0?
-1, 1, 603
Factor 5*u**3 + 345*u**2 + 7935*u + 60835.
5*(u + 23)**3
Solve -b**5/7 - 3*b**4/7 + 22*b**3/7 + 6*b**2 - 117*b/7 - 135/7 = 0 for b.
-5, -3, -1, 3
Let -5*y**5 + 65*y**4/2 + 45*y**3/2 - 65*y**2/2 - 35*y/2 = 0. What is y?
-1, -1/2, 0, 1, 7
Factor 5*u**2 + 15*u - 3240.
5*(u - 24)*(u + 27)
Suppose -4*o**4 + 16*o**2 = 0. Calculate o.
-2, 0, 2
Solve 5*c**3/3 + 90*c**2 + 2995*c/3 + 910 = 0 for c.
-39, -14, -1
Let j**3/6 - 7*j**2/6 + 8*j/3 - 2 = 0. Calculate j.
2, 3
Determine o so that -2*o**2 - 14*o + 88 = 0.
-11, 4
Factor h**2/7 + 74*h/7 + 793/7.
(h + 13)*(h + 61)/7
Let -c**4/3 - c**3/3 + 49*c**2/3 - 71*c/3 - 40 = 0. Calculate c.
-8, -1, 3, 5
Find o, given that -o**5 - 19*o**4 - 17*o**3 + 19*o**2 + 18*o = 0.
-18, -1, 0, 1
What is s in -s**3/3 - 1567*s**2/3 - 204885*s - 204363 = 0?
-783, -1
Factor -q**3/6 + 493*q**2/6 - 30008*q/3 - 30752.
-(q - 248)**2*(q + 3)/6
Factor -20*c**4 - 16*c**3 + 20*c