 -2/9, 2, 3
Factor -3*w**3 + 10671*w**2.
-3*w**2*(w - 3557)
Solve 4*w**5 + 8*w**4 - 44*w**3 - 48*w**2 = 0 for w.
-4, -1, 0, 3
Factor -135*a**4 - 36*a**3 + 21*a**2 + 6*a.
-3*a*(3*a + 1)**2*(5*a - 2)
Let -3*m**4 + 114*m**3 - 195*m**2 - 744*m - 432 = 0. What is m?
-1, 4, 36
Factor -10*u**3/7 - 8*u**2 + 184*u/7 - 64/7.
-2*(u - 2)*(u + 8)*(5*u - 2)/7
Suppose 16*o**4/17 - 4008*o**3/17 + 334668*o**2/17 - 9314926*o/17 = 0. What is o?
0, 167/2
Let -2*b**3/3 - 154*b**2 - 460*b/3 = 0. Calculate b.
-230, -1, 0
Find i such that -i**5/10 - 3*i**4/10 + 3*i**3/5 + 13*i**2/5 + 27*i/10 + 9/10 = 0.
-3, -1, 3
Factor -b**4/7 + 150*b**3/7 - 5153*b**2/7 - 35724*b/7 - 30420/7.
-(b - 78)**2*(b + 1)*(b + 5)/7
Factor -7*y**3/4 - 19*y**2/2.
-y**2*(7*y + 38)/4
Factor -2*r**5 + 15*r**4 - 40*r**3 + 40*r**2 - 16.
-(r - 2)**4*(2*r + 1)
What is s in 10*s**2 - 14825*s - 7415 = 0?
-1/2, 1483
Solve -4*n**4 - 5528*n**3 - 1909924*n**2 = 0 for n.
-691, 0
Let 3*n**2/5 - 126*n + 6615 = 0. What is n?
105
Find a such that 4*a**4/5 + 207*a**3/5 - 96*a**2 + 323*a/5 - 54/5 = 0.
-54, 1/4, 1
Find o such that -4*o**3/7 + 461*o**2/7 - 115*o/7 = 0.
0, 1/4, 115
Let 4*u**4 - 756*u**3 - 1540*u**2 + 2292*u = 0. What is u?
-3, 0, 1, 191
Factor -s**5/2 - 757*s**4/2 - 71060*s**3 + 216600*s**2.
-s**2*(s - 3)*(s + 380)**2/2
Suppose 3*f**2 + 33*f - 726 = 0. Calculate f.
-22, 11
Factor 3*g**3 - 6*g**2 - 921*g - 912.
3*(g - 19)*(g + 1)*(g + 16)
Solve -20*j**2/9 + 1796*j/9 + 40 = 0 for j.
-1/5, 90
Let n**2/5 + n - 6/5 = 0. What is n?
-6, 1
Solve -3*z**3 + 78*z**2 - 276*z + 264 = 0 for z.
2, 22
Factor 3*q**4 - 192*q**3 + 3258*q**2 - 5952*q + 2883.
3*(q - 31)**2*(q - 1)**2
Factor -5*q**4 - 170*q**3 - 1845*q**2 - 6580*q - 4900.
-5*(q + 1)*(q + 5)*(q + 14)**2
What is i in i**4 + 5*i**3 - 76*i**2 + 112*i + 192 = 0?
-12, -1, 4
Factor j**3/7 - 37*j**2/7 + 366*j/7 - 792/7.
(j - 22)*(j - 12)*(j - 3)/7
Factor -2*u**4 + 4*u**2 - 2.
-2*(u - 1)**2*(u + 1)**2
Solve -u**3/5 - 8*u**2/5 + 11*u/5 + 18/5 = 0.
-9, -1, 2
What is b in -b**3/7 - 86*b**2/7 + 4*b/7 + 344/7 = 0?
-86, -2, 2
Suppose 145*t**3/3 - 1295*t**2/3 - 3280*t/3 - 220/3 = 0. What is t?
-2, -2/29, 11
Factor 2*p**2/5 - 18*p/5 + 36/5.
2*(p - 6)*(p - 3)/5
Determine d so that -4*d**4 + 484*d**3 - 13896*d**2 - 45136*d - 30752 = 0.
-2, -1, 62
Determine d, given that -2*d**2/9 + 440*d/9 - 24200/9 = 0.
110
Find a such that 3*a**5 - 18*a**3 - 24*a**2 - 9*a = 0.
-1, 0, 3
Let 5*f**5/2 - 65*f**4 + 415*f**3 + 200*f**2 - 2795*f/2 + 845 = 0. Calculate f.
-2, 1, 13
Find d such that 4*d**4/13 + 30*d**3/13 - 92*d**2/13 + 6*d - 20/13 = 0.
-10, 1/2, 1
Factor 3*l**5 - 12*l**4 - 54*l**3 - 60*l**2 - 21*l.
3*l*(l - 7)*(l + 1)**3
Factor -a**2/3 - 2218*a - 3689643.
-(a + 3327)**2/3
Factor 10*q**2/7 + 26*q/7 - 120/7.
2*(q + 5)*(5*q - 12)/7
Factor -2*k**2 - 2476*k - 766322.
-2*(k + 619)**2
Factor -v**4 + 177*v**3 + 3*v**2 - 533*v + 354.
-(v - 177)*(v - 1)**2*(v + 2)
Factor -4*b**4 + 16*b**3 - 8*b**2 - 16*b + 12.
-4*(b - 3)*(b - 1)**2*(b + 1)
Factor 4*o**4/3 - 3472*o**3 + 2260272*o**2.
4*o**2*(o - 1302)**2/3
Solve 3*x**5 - 30*x**4 - 69*x**3 - 36*x**2 = 0.
-1, 0, 12
Find h, given that h**4 - 31*h**3 + 149*h**2 + 31*h - 150 = 0.
-1, 1, 6, 25
Solve -2*z**2/7 - 6*z/7 + 20/7 = 0 for z.
-5, 2
Suppose -2*r**2/15 - 32*r/15 - 8 = 0. Calculate r.
-10, -6
Determine a, given that a**5 - 6*a**4 + 8*a**3 = 0.
0, 2, 4
Determine b so that 3*b**3 - 60*b**2 - 129*b - 66 = 0.
-1, 22
Factor -4*q**2 + 32*q - 60.
-4*(q - 5)*(q - 3)
Determine a so that -2*a**5 - 48*a**4 + 130*a**3 + 696*a**2 + 520*a = 0.
-26, -2, -1, 0, 5
Factor -3*i**3 - 12*i**2 + 3*i + 12.
-3*(i - 1)*(i + 1)*(i + 4)
Factor 2*m**5/7 + 25*m**4/7 + 12*m**3 + 36*m**2/7.
m**2*(m + 6)**2*(2*m + 1)/7
Factor -z**2 + 580*z - 84100.
-(z - 290)**2
Factor n**4/3 + 46*n**3/3 + 481*n**2/3 - 368*n + 192.
(n - 1)**2*(n + 24)**2/3
Factor 20*d**3/3 + 292*d**2/3 + 400*d/3 - 208/3.
4*(d + 2)*(d + 13)*(5*d - 2)/3
What is r in 195*r**5/8 - 347*r**4/8 - 55*r**3/4 + 11*r**2/2 + r = 0?
-2/5, -2/13, 0, 1/3, 2
Determine o, given that -o**3 - 3*o**2 + 4*o = 0.
-4, 0, 1
Solve 2*h**3/7 + 3742*h**2/7 + 1748448*h/7 - 1752192/7 = 0.
-936, 1
Let -3*c**3 + 705*c**2/4 - 1839*c/4 - 126 = 0. What is c?
-1/4, 3, 56
Solve -y**5 + 2*y**4 + 6*y**3 - 8*y**2 - 5*y + 6 = 0.
-2, -1, 1, 3
Solve 2*a**2/13 - 360*a/13 - 362/13 = 0.
-1, 181
Solve 4*f**3/9 + 448*f**2/9 + 4180*f/9 + 3400/3 = 0 for f.
-102, -5
Find d such that d**5 + 37*d**4 + 335*d**3 - 601*d**2 - 9000*d - 8100 = 0.
-18, -5, -1, 5
Determine w, given that 813*w**2 + 807*w - 6 = 0.
-1, 2/271
Determine y, given that 8*y**5 - 402*y**4 + 478*y**3 + 588*y**2 = 0.
-3/4, 0, 2, 49
Factor -2*q**4 - 13*q**3 - 6*q**2.
-q**2*(q + 6)*(2*q + 1)
Factor 9*n**3/2 - 24*n**2 - 741*n/2 + 126.
3*(n - 12)*(n + 7)*(3*n - 1)/2
Find m, given that -m**5/3 + 4*m**4 - 18*m**3 + 112*m**2/3 - 35*m + 12 = 0.
1, 3, 4
Suppose -7*q**5/11 - 3*q**4/11 + q**3 + 3*q**2/11 - 4*q/11 = 0. Calculate q.
-1, 0, 4/7, 1
What is o in 4*o**3 + 24*o**2 - 28*o = 0?
-7, 0, 1
Let -3*l**2 - 45*l - 108 = 0. What is l?
-12, -3
Suppose 5*d**5 - 125*d**4 - 135*d**3 + 125*d**2 + 130*d = 0. What is d?
-1, 0, 1, 26
Factor -u**3/10 + 44*u**2/5 - 87*u/10.
-u*(u - 87)*(u - 1)/10
What is w in -2*w**3/23 - 102*w**2/23 + 2*w/23 + 102/23 = 0?
-51, -1, 1
Suppose 4*c**3/23 - 238*c**2/23 + 350*c/23 - 116/23 = 0. Calculate c.
1/2, 1, 58
Find x such that 5*x**5 - 15*x**3 + 10*x**2 = 0.
-2, 0, 1
Factor -2*l**3 - 14*l**2 + 48*l + 360.
-2*(l - 5)*(l + 6)**2
Determine l so that 9*l**3 - 69*l**2 + 39*l + 21 = 0.
-1/3, 1, 7
Factor -x**3/5 - 5*x**2 + x/5 + 5.
-(x - 1)*(x + 1)*(x + 25)/5
What is f in -3*f**3 - 1212*f**2 - 2412*f = 0?
-402, -2, 0
Let -k**4 + 17*k**3/3 + 11*k**2 - 11*k - 14/3 = 0. Calculate k.
-2, -1/3, 1, 7
What is g in 3*g**3 + 2226*g**2 + 6651*g = 0?
-739, -3, 0
Determine r so that -28*r**2 + 148*r - 144 = 0.
9/7, 4
Factor y**3/8 + 3*y**2 + 143*y/8 + 15.
(y + 1)*(y + 8)*(y + 15)/8
Let -3*u**3/8 - 105*u**2/8 - 108*u + 243/2 = 0. What is u?
-18, 1
Solve -154*n**5/19 - 390*n**4/19 - 254*n**3/19 + 2*n**2 + 48*n/19 - 8/19 = 0.
-1, 2/11, 2/7
Suppose m**3/3 - 7*m/3 - 2 = 0. What is m?
-2, -1, 3
Suppose -k**4 + 19*k**3 + 235*k**2 - 523*k + 270 = 0. What is k?
-10, 1, 27
Factor 3*y**3 - 81*y + 162.
3*(y - 3)**2*(y + 6)
Find m such that 5*m**4 - 15*m**3 - 55*m**2 + 15*m + 50 = 0.
-2, -1, 1, 5
Let -14*r**5 - 216*r**4 - 972*r**3 - 1064*r**2 - 294*r = 0. What is r?
-7, -1, -3/7, 0
Factor 5*g**3/2 + 185*g**2/4 + 225*g + 405/4.
5*(g + 9)**2*(2*g + 1)/4
Solve -f**4 - 9*f**3 - 19*f**2 + 9*f + 20 = 0.
-5, -4, -1, 1
Factor -5*v**3 + 65*v**2 - 115*v + 55.
-5*(v - 11)*(v - 1)**2
Factor -9*q**4 - 78*q**3 - 192*q**2 - 96*q.
-3*q*(q + 4)**2*(3*q + 2)
Factor -r**2 - 3900*r - 3802500.
-(r + 1950)**2
Factor 4*n**4 + 4*n**3 - 12*n**2 - 20*n - 8.
4*(n - 2)*(n + 1)**3
Factor 2*q**3/7 - 10*q**2/7 + 4*q/7 + 16/7.
2*(q - 4)*(q - 2)*(q + 1)/7
Factor -2*d**3 - 14*d**2.
-2*d**2*(d + 7)
Determine q, given that 4*q**3 + 112*q**2 + 212*q + 104 = 0.
-26, -1
Solve 2*k**3/7 - 412*k**2/7 + 810*k/7 + 1224/7 = 0.
-1, 3, 204
Factor 2*j**4 - 18*j**3 + 52*j**2 - 48*j.
2*j*(j - 4)*(j - 3)*(j - 2)
Let -8*g**5/11 + 2*g**4/11 + 40*g**3/11 - 10*g**2/11 - 32*g/11 + 8/11 = 0. Calculate g.
-2, -1, 1/4, 1, 2
Factor 3*f**3 - 1908*f**2 + 404496*f - 28584384.
3*(f - 212)**3
Factor -v**3/8 + 61*v**2/2 - 243*v/8.
-v*(v - 243)*(v - 1)/8
Determine l so that 51*l**2/4 + 253*l/4 - 5/2 = 0.
-5, 2/51
Suppose -5*z**3 - 90*z**2 + 420*z - 440 = 0. Calculate z.
-22, 2
Suppose n**2/4 - 21*n/2 + 41/4 = 0. What is n?
1, 41
Find o, given that o**4/3 + 11*o**3/3 + 8*o**2/3 - 20*o/3 = 0.
-10, -2, 0, 1
Determine p, given that 3*p**2/5 - 12*p + 57/5 = 0.
1, 19
Factor 2*b**3 - 110*b**2 + 416*b - 408.
2*(b - 51)*(b - 2)**2
Factor -26*s**2/17 - 66*s/17 + 36/17.
-2*(s + 3)*(13*s - 6)/17
Determine b, given that 5*b**3 - 5*b**2 - 5*b + 5 = 0.
-1, 1
Solve -3*s**2/2 - 27*s/2 + 15 = 0.
-10, 1
Solve 2*j**3/15 - 58*j**2/15 + 76*j/5 + 96/5 = 0.
-1, 6, 24
Suppose -3*x**4 + 33*x**2 - 54*x + 24 = 0. What is x?
-4, 1, 2
Let -15*q**4/4 - 897*q**3/2 - 17820*q**2 - 232800*q + 96000 = 0. Calculate q.
-40, 2/5
Let 2*t**4/5 + 272*t**3/5 + 538*t**2/5 + 268*t/5 = 0. What is t?
-134, -1, 0
What is i in 3*i**4 + 72*i**3 + 354*i**2 - 936*i + 507 = 0?
-13, 1
Factor -4*i**2 + 112*i - 748.
-4*(i