*j**4 - 18*j**3 + 40*j**2 - 24*j.
2*j*(j - 6)*(j - 2)*(j - 1)
Determine a so that 2*a**4 + 51*a**3/2 - 205*a**2/2 + 24*a = 0.
-16, 0, 1/4, 3
Let 2*u**4 + 6*u**3 - 8*u**2 - 24*u = 0. What is u?
-3, -2, 0, 2
Factor -2*t**4/9 - 2*t**3/9 + 8*t**2/9 + 8*t/9.
-2*t*(t - 2)*(t + 1)*(t + 2)/9
Find y such that 5*y**5 + 450*y**4 + 12540*y**3 + 101080*y**2 = 0.
-38, -14, 0
Factor 3*s**2/5 - 6*s + 27/5.
3*(s - 9)*(s - 1)/5
Find t, given that 4*t**4 + 12*t**3 - 36*t**2 - 92*t - 48 = 0.
-4, -1, 3
Find i, given that 2*i**3/17 + 18*i**2/17 + 46*i/17 + 30/17 = 0.
-5, -3, -1
Factor 2*w**3 - 426*w**2 - 1730*w - 1302.
2*(w - 217)*(w + 1)*(w + 3)
Let -3*x**4 + 66*x**3 = 0. Calculate x.
0, 22
Factor 3*x**3 + 6*x**2 - 165*x - 600.
3*(x - 8)*(x + 5)**2
Solve -22*t**5 + 90*t**4 + 36*t**3 - 268*t**2 - 174*t + 18 = 0.
-1, 1/11, 3
What is x in -2*x**2 - 34*x - 60 = 0?
-15, -2
Determine r so that -2*r**5/15 + 20*r**4/3 - 1514*r**3/15 + 440*r**2 - 2904*r/5 = 0.
0, 3, 22
Factor 4*c**5 + 12*c**4 - 12*c**3 - 44*c**2 - 24*c.
4*c*(c - 2)*(c + 1)**2*(c + 3)
Factor -9*z**3/4 - 13*z**2/4 + 7*z/2 + 2.
-(z - 1)*(z + 2)*(9*z + 4)/4
Factor 2*m**5/3 + 2*m**4.
2*m**4*(m + 3)/3
Find g, given that -3*g**5 - 45*g**4 - 27*g**3 + 201*g**2 - 126*g = 0.
-14, -3, 0, 1
Factor -4*x**3 - 20*x**2 - 32*x - 16.
-4*(x + 1)*(x + 2)**2
Let -z**3/4 - 393*z**2/4 - 51483*z/4 - 2248091/4 = 0. What is z?
-131
Factor 4*d**3 - 168*d**2.
4*d**2*(d - 42)
Determine w, given that 615*w**4 + 816*w**3 - 1047*w**2 - 420*w + 36 = 0.
-2, -2/5, 3/41, 1
Factor -2*m**4/7 - 22*m**3/7 + 1040*m**2/7 - 6200*m/7.
-2*m*(m - 10)**2*(m + 31)/7
Find y such that 2*y**5 - 2*y**4 - 18*y**3 - 22*y**2 - 8*y = 0.
-1, 0, 4
Factor u**4 - 632*u**3 + 99856*u**2.
u**2*(u - 316)**2
Find s such that 2*s**2/3 + 74*s + 436/3 = 0.
-109, -2
Find a, given that -6*a**4/5 + 274*a**3/5 - 1612*a**2/3 - 11864*a/15 - 272 = 0.
-2/3, 17, 30
Determine t, given that -2*t**2 - 22*t = 0.
-11, 0
Factor -3*a**4 + 210*a**3 + 2052*a**2 + 6318*a + 6399.
-3*(a - 79)*(a + 3)**3
What is c in -c**5/5 - 44*c**4/5 - 33*c**3 - 202*c**2/5 - 16*c = 0?
-40, -2, -1, 0
Suppose -27*n**4/5 - 174*n**3/5 - 203*n**2/5 - 36*n/5 + 4 = 0. Calculate n.
-5, -1, -2/3, 2/9
Solve 90*t**5 - 39*t**4 - 432*t**3/5 + 39*t**2 - 18*t/5 = 0.
-1, 0, 2/15, 3/10, 1
Find f, given that -3*f**3 + 189*f**2 + 588*f + 396 = 0.
-2, -1, 66
Solve 5*c**4/4 - 65*c**3/2 + 210*c**2 + 65*c/2 - 845/4 = 0 for c.
-1, 1, 13
Suppose -2*z**2 - 84*z = 0. What is z?
-42, 0
Factor q**5/3 - 8*q**4/3 - 3*q**3.
q**3*(q - 9)*(q + 1)/3
Let -2*y**4/3 - 35*y**3/2 + 499*y**2/3 - 320*y - 272/3 = 0. Calculate y.
-34, -1/4, 4
Suppose 2*f**3/3 - 5582*f**2/9 + 433070*f/3 - 48050 = 0. Calculate f.
1/3, 465
Factor -4*v**3 - 268*v**2 - 524*v - 260.
-4*(v + 1)**2*(v + 65)
Factor -2*t**5 - 48*t**4 - 330*t**3 - 484*t**2.
-2*t**2*(t + 2)*(t + 11)**2
Factor 4*y**5 + 64*y**4 + 284*y**3 + 224*y**2 - 576*y.
4*y*(y - 1)*(y + 4)**2*(y + 9)
Find u such that u**4/8 + 37*u**3/8 + 63*u**2 + 376*u + 832 = 0.
-13, -8
Suppose -2*r**5 + 92*r**4 + 1054*r**3 + 3616*r**2 + 4448*r + 1792 = 0. What is r?
-4, -1, 56
Factor -2*s**3/3 + 4*s**2 - 10*s/3.
-2*s*(s - 5)*(s - 1)/3
Factor -3*s**3/5 - 324*s**2/5 - 1557*s/5 - 1236/5.
-3*(s + 1)*(s + 4)*(s + 103)/5
Suppose -4*t**2 + 5216*t - 1700416 = 0. Calculate t.
652
Factor -3*j**5 - 15*j**4 - 12*j**3.
-3*j**3*(j + 1)*(j + 4)
Solve -3*c**2/4 - 2151*c/4 + 2163 = 0 for c.
-721, 4
What is l in 27*l**3/5 - 51*l**2/5 - 87*l/5 - 9/5 = 0?
-1, -1/9, 3
Suppose -14*o**5/3 + 227*o**4/3 + 1319*o**3/3 + 1807*o**2/3 + 285*o + 42 = 0. What is o?
-3, -1, -1/2, -2/7, 21
Let 3*f**5 + 33*f**4 + 93*f**3 - 57*f**2 - 420*f - 300 = 0. What is f?
-5, -2, -1, 2
Factor 2*i**2 - 38*i.
2*i*(i - 19)
Factor -f**5/5 + 6*f**4/5 - 13*f**3/5 + 12*f**2/5 - 4*f/5.
-f*(f - 2)**2*(f - 1)**2/5
Factor f**2/3 - 654*f + 320787.
(f - 981)**2/3
Solve 40*w**2 - 525*w = 0 for w.
0, 105/8
Factor -z**4/2 - 205*z**3/2 + 413*z**2/2 - 207*z/2.
-z*(z - 1)**2*(z + 207)/2
Factor p**4/6 + 25*p**3/6 + 19*p**2 - 266*p/3 + 196/3.
(p - 2)*(p - 1)*(p + 14)**2/6
Factor -3*l**3/8 - 81*l**2/8 - 39*l/4.
-3*l*(l + 1)*(l + 26)/8
Suppose 2*i**3/3 - 20*i**2/3 + 6*i = 0. Calculate i.
0, 1, 9
Suppose -45*d**3 - 5340*d**2 - 3545*d - 590 = 0. Calculate d.
-118, -1/3
Determine o so that 5*o**2 + 45*o - 110 = 0.
-11, 2
Factor -3*r**3 + 3*r**2/2 + 3*r - 3/2.
-3*(r - 1)*(r + 1)*(2*r - 1)/2
Factor -16*i**5/9 + 4*i**4/9.
-4*i**4*(4*i - 1)/9
Solve -2*p**3/3 + 38*p**2 - 220*p/3 = 0.
0, 2, 55
Let 2*y**4/13 + 2*y**3 + 22*y**2/13 - 2*y - 24/13 = 0. What is y?
-12, -1, 1
Suppose 3*k**5 - 12*k**3 - 6*k**2 + 9*k + 6 = 0. What is k?
-1, 1, 2
Factor 4*v**4/7 - 16*v**3/7.
4*v**3*(v - 4)/7
Solve m**5/4 + 3*m**4/4 + 3*m**3/4 + m**2/4 = 0 for m.
-1, 0
Solve -3*d**4/8 - 4*d**3 + 13*d**2/2 + 6*d = 0 for d.
-12, -2/3, 0, 2
Factor 3*u**2 - 207*u + 204.
3*(u - 68)*(u - 1)
Let -s**4/5 + 8*s**3/5 - 4*s**2 + 16*s/5 = 0. What is s?
0, 2, 4
Factor 5*k**2 + 43280*k + 93657920.
5*(k + 4328)**2
Solve -3*r**4 - 36*r**3 + 63*r**2 + 276*r - 468 = 0 for r.
-13, -3, 2
Factor 2*f**2/9 - 8*f + 72.
2*(f - 18)**2/9
Factor -2*n**2/7 + 1082*n/7 + 1084/7.
-2*(n - 542)*(n + 1)/7
Let 12*c**5 - 993*c**4 + 20883*c**3 - 12921*c**2 - 44895*c - 10086 = 0. What is c?
-1, -1/4, 2, 41
Let -752720*q**2 - 776*q - 1/5 = 0. Calculate q.
-1/1940
Factor 2*t**4 - 4*t**3 - 30*t**2 - 8*t + 40.
2*(t - 5)*(t - 1)*(t + 2)**2
Find u such that u**3 + 1265*u**2 + 399423*u - 400689 = 0.
-633, 1
Suppose -8*p**3/3 - 548*p**2/3 + 557*p/2 - 105 = 0. What is p?
-70, 3/4
Solve -d**3 - 29*d**2/2 - 4*d + 42 = 0.
-14, -2, 3/2
What is c in -25*c**3 - 13565*c**2 + 19030*c - 5440 = 0?
-544, 2/5, 1
Suppose -2*v**3/15 + 3826*v**2/15 + 7658*v/15 + 766/3 = 0. Calculate v.
-1, 1915
Determine q, given that -5*q**2 - 3790*q + 3795 = 0.
-759, 1
Solve 2*s**2/11 + 156*s/11 = 0.
-78, 0
Suppose -16*b**4/3 + 72*b**3 + 119*b**2/3 - 33*b + 14/3 = 0. What is b?
-1, 1/4, 14
Determine c, given that -3*c**5 - 87*c**4 - 624*c**3 + 696*c**2 + 7728*c - 11760 = 0.
-14, -5, 2
Factor -o**2/2 + 1726*o - 1489538.
-(o - 1726)**2/2
Suppose v**4/3 + 5*v**3/3 + 3*v**2 + 7*v/3 + 2/3 = 0. Calculate v.
-2, -1
Solve 5*j**4 + 10*j**3 - 75*j**2 - 180*j = 0.
-3, 0, 4
Factor -2*n**3/7 - 30*n**2/7 + 68*n/7.
-2*n*(n - 2)*(n + 17)/7
Solve 9*u**3 + 474*u**2 + 309*u - 156 = 0.
-52, -1, 1/3
Find c, given that -10*c**4/7 - 1672*c**3/21 + 562*c**2/3 - 592*c/21 - 232/7 = 0.
-58, -1/3, 3/5, 2
Factor 4*z**4 - 256*z**3 - 1068*z**2 - 1352*z - 544.
4*(z - 68)*(z + 1)**2*(z + 2)
Factor -x**2 - 39*x + 40.
-(x - 1)*(x + 40)
Factor 5*j**4 - 10*j**3 - 15*j**2 + 20*j + 20.
5*(j - 2)**2*(j + 1)**2
Suppose 2*a**3/3 + 10*a**2/3 + 2*a - 6 = 0. Calculate a.
-3, 1
Find o such that 172*o**4/7 - 524*o**3/7 + 368*o**2/7 - 16*o/7 = 0.
0, 2/43, 1, 2
Factor -2*v**3 + 50*v**2 - 384*v + 936.
-2*(v - 13)*(v - 6)**2
Factor -5*c**3 + 370*c**2 - 1075*c + 710.
-5*(c - 71)*(c - 2)*(c - 1)
Solve -10*q**3/7 + 86*q**2/7 + 6*q - 54/7 = 0.
-1, 3/5, 9
Factor 529*r**4/4 + 23*r**3 + r**2.
r**2*(23*r + 2)**2/4
Determine i, given that -4*i**4 - 212*i**3 + 1616*i**2 - 3792*i + 2880 = 0.
-60, 2, 3
Suppose m**5/5 + 24*m**4/5 + 3*m**3 - 196*m**2/5 - 276*m/5 = 0. Calculate m.
-23, -2, 0, 3
Factor -2*t**3/11 - 1814*t**2/11 - 3620*t/11.
-2*t*(t + 2)*(t + 905)/11
Factor -3*n**4 - 12*n**3 + 9*n**2 + 30*n - 24.
-3*(n - 1)**2*(n + 2)*(n + 4)
Factor 3*l**4/2 - 24*l**3 + 177*l**2/2 - 66*l.
3*l*(l - 11)*(l - 4)*(l - 1)/2
Factor 2*y**2/3 - 6*y - 20/3.
2*(y - 10)*(y + 1)/3
Determine q, given that -6*q**5/7 - 36*q**4/7 - 6*q**3/7 + 216*q**2/7 + 120*q/7 - 288/7 = 0.
-4, -3, -2, 1, 2
Factor -98*j**2/19 - 21924*j/19 - 1226178/19.
-2*(7*j + 783)**2/19
Determine h so that -2*h**2/11 - 36*h/11 + 80/11 = 0.
-20, 2
Factor 3*y**2 + 9*y + 6.
3*(y + 1)*(y + 2)
Solve d**2/6 - 11*d/6 - 2 = 0.
-1, 12
Factor 2*d**3/9 + 4*d**2/9 - 2*d/9 - 4/9.
2*(d - 1)*(d + 1)*(d + 2)/9
Factor -3*k**3 - 160*k**2/3 - 39*k + 34/3.
-(k + 1)*(k + 17)*(9*k - 2)/3
Factor -i**5 + 7*i**4 + 25*i**3 - 67*i**2 + 36*i.
-i*(i - 9)*(i - 1)**2*(i + 4)
Factor 6750*c**3/7 + 29700*c**2/7 + 43560*c/7 + 21296/7.
2*(15*c + 22)**3/7
Suppose -2*u**4/3 - 1024*u**3/3 - 57792*u**2 - 9466880*u/3 + 40707584/3 = 0. What is u?
-172, 4
Suppose -135*u**2 + 70*u = 0. What is u?
0, 14/27
Factor 2*j**3/7 + 2*j**2/7 - 60*j/7.
2*j*(j - 5)