r 5*a**3/4 + 13*a**2 - 35*a/4 - 11/2.
(a - 1)*(a + 11)*(5*a + 2)/4
Suppose -3*k**3 + 5640*k**2 - 2656431*k + 5290326 = 0. Calculate k.
2, 939
Factor 5*f**2/3 + 1625*f/3 + 1610.
5*(f + 3)*(f + 322)/3
Factor b**2/6 + 11*b/6 + 3.
(b + 2)*(b + 9)/6
Suppose -3*o**2/7 - 456*o/7 - 17328/7 = 0. Calculate o.
-76
Find y such that 45*y**3 - 150*y**2 - 115*y - 20 = 0.
-1/3, 4
Let 6*n**5/19 + 16*n**4/19 - 12*n**3/19 - 16*n**2/19 + 6*n/19 = 0. Calculate n.
-3, -1, 0, 1/3, 1
Factor -d**3/6 + 49*d**2/2 + 25*d - 148/3.
-(d - 148)*(d - 1)*(d + 2)/6
Solve 5*r**5 - 220*r**4 + 1140*r**3 = 0.
0, 6, 38
Find z, given that 2*z**4/5 - 12*z**3/5 + 8*z**2/5 + 48*z/5 - 64/5 = 0.
-2, 2, 4
Let -c**4/7 + 5*c**3/7 + c**2/7 - 5*c/7 = 0. What is c?
-1, 0, 1, 5
Factor -4*i**2 - 36*i + 40.
-4*(i - 1)*(i + 10)
Factor 4*g**4 - 60*g**3 + 268*g**2 - 372*g + 160.
4*(g - 8)*(g - 5)*(g - 1)**2
Factor -2*s**5/9 - 2*s**4/3 - 4*s**3/9 + 4*s**2/9 + 2*s/3 + 2/9.
-2*(s - 1)*(s + 1)**4/9
Determine z, given that 4*z**4/3 + 20*z**3/3 + 4*z**2 - 12*z = 0.
-3, 0, 1
Factor 4*j**3 - 17108*j**2 + 18284172*j + 18301284.
4*(j - 2139)**2*(j + 1)
Factor 20*d**2 - 112*d.
4*d*(5*d - 28)
Factor -22*m**2 + 15*m.
-m*(22*m - 15)
Factor -2*b**3 - 130*b**2 - 608*b - 480.
-2*(b + 1)*(b + 4)*(b + 60)
Determine m, given that -2*m**2/9 + 22*m/9 - 20/9 = 0.
1, 10
Suppose 5*t**4 - 90*t**3 + 75*t**2 + 170*t = 0. Calculate t.
-1, 0, 2, 17
Determine w, given that 2*w**5/11 + 4*w**4/11 - 8*w**3/11 - 4*w**2/11 + 6*w/11 = 0.
-3, -1, 0, 1
Suppose 18*c**5 + 30*c**4 - 64*c**3 - 48*c**2 + 96*c - 32 = 0. What is c?
-2, 2/3, 1
Determine c so that -21*c**4/5 - 611*c**3/5 - 2557*c**2/5 + 30107*c/5 + 578 = 0.
-17, -2/21, 5
Factor t**2/5 + 32*t/5 + 12.
(t + 2)*(t + 30)/5
Suppose 750*k**5 - 3925*k**4 + 5355*k**3 - 945*k**2 - 145*k + 30 = 0. What is k?
-1/6, 1/5, 2, 3
Factor -2*o**3/5 - 192*o**2/5 - 882*o + 9604/5.
-2*(o - 2)*(o + 49)**2/5
Factor -2*s**3/7 + 358*s**2/7 + 1088*s/7 + 104.
-2*(s - 182)*(s + 1)*(s + 2)/7
Solve -114*b**5 + 196*b**4 - 106*b**3/3 - 748*b**2/9 + 344*b/9 - 16/9 = 0.
-2/3, 1/19, 2/3, 1
Determine m so that -19*m**2 - 2*m = 0.
-2/19, 0
Suppose 4*d**2/3 + 752*d + 106032 = 0. What is d?
-282
Solve 5*p**3 + 2345*p**2 + 273775*p - 276125 = 0.
-235, 1
Suppose 2*r**2/5 - 1352*r + 1142440 = 0. Calculate r.
1690
Determine z so that -2*z**5/11 + 2*z**4/11 + 2*z**3 - 18*z**2/11 - 36*z/11 = 0.
-3, -1, 0, 2, 3
Factor 5*r**2 + 270*r + 3645.
5*(r + 27)**2
Let 2*a**2/9 - 6*a - 248/9 = 0. Calculate a.
-4, 31
Determine s so that -3*s**2/5 - 939*s/5 + 942/5 = 0.
-314, 1
Determine a so that a**5/8 + 5*a**4/8 + a**3 + a**2/2 = 0.
-2, -1, 0
Factor -2*f**4/3 - 194*f**3/3 + 394*f**2/3 - 66*f.
-2*f*(f - 1)**2*(f + 99)/3
Let -35*k**4/3 + 325*k**3/3 - 370*k**2/3 + 80*k/3 = 0. What is k?
0, 2/7, 1, 8
Let 3*m**4/5 + 18*m**3/5 + 27*m**2/5 + 12*m/5 = 0. Calculate m.
-4, -1, 0
Factor -x**3 + 21*x - 20.
-(x - 4)*(x - 1)*(x + 5)
Solve 2*q**2 - 44*q + 144 = 0 for q.
4, 18
Determine f, given that 10*f**3 - 66*f**2 - 208*f - 72 = 0.
-2, -2/5, 9
What is h in 2*h**2/5 + 148*h/5 + 112 = 0?
-70, -4
Suppose -4*c**5 - 2168*c**4/3 - 100736*c**3/3 - 251336*c**2/3 + 31684*c = 0. Calculate c.
-89, -3, 0, 1/3
Factor 3*l**4 + 294*l**3 + 8028*l**2 + 40296*l + 50784.
3*(l + 2)*(l + 4)*(l + 46)**2
Factor 2*h**5 + 46*h**4 - 150*h**3 + 154*h**2 - 52*h.
2*h*(h - 1)**3*(h + 26)
Factor 3*q**3/5 - 9*q**2/5.
3*q**2*(q - 3)/5
Determine v so that -2*v**5/7 - 10*v**4/7 - 18*v**3/7 - 2*v**2 - 4*v/7 = 0.
-2, -1, 0
Factor 3*b**3 - 381*b**2 - 1164*b - 780.
3*(b - 130)*(b + 1)*(b + 2)
Find b, given that 6*b**5 - 8*b**4 - 26*b**3 - 12*b**2 = 0.
-1, -2/3, 0, 3
Suppose 5*k**2/4 - 5*k/4 - 105/2 = 0. Calculate k.
-6, 7
Determine w so that 3*w**3 + 249*w**2 + 477*w - 729 = 0.
-81, -3, 1
Factor c**2/3 - 95*c/3 - 32.
(c - 96)*(c + 1)/3
Factor -9*n**3 - 87*n**2 - 180*n - 84.
-3*(n + 2)*(n + 7)*(3*n + 2)
Let 2*w**4/7 - 22*w**3/7 - 58*w**2/7 + 78*w/7 = 0. Calculate w.
-3, 0, 1, 13
Factor 2*a**3/9 - 14*a**2/3 - 152*a/9 + 64/3.
2*(a - 24)*(a - 1)*(a + 4)/9
Factor -2*b**5/11 + 12*b**4/11 - 18*b**3/11.
-2*b**3*(b - 3)**2/11
Suppose -9*n**3/8 - 123*n**2/8 - 87*n/2 - 45/2 = 0. What is n?
-10, -3, -2/3
Let -5*v**5 + 10*v**4 + 110*v**3 + 80*v**2 - 105*v - 90 = 0. What is v?
-3, -1, 1, 6
Factor -3*i**4/5 + 21*i**2/5 - 18*i/5.
-3*i*(i - 2)*(i - 1)*(i + 3)/5
What is k in -3*k**4 + 225*k**3 + 459*k**2 + 231*k = 0?
-1, 0, 77
Let 3*w**3/2 - 417*w**2/2 - 210*w = 0. Calculate w.
-1, 0, 140
Suppose -2*n**5/15 - 2*n**4/3 - 2*n**3/3 + 2*n**2/3 + 4*n/5 = 0. Calculate n.
-3, -2, -1, 0, 1
Find x, given that 3*x**3 - 312*x**2 = 0.
0, 104
Factor -4*k**2 - 22448*k - 31494544.
-4*(k + 2806)**2
Factor p**4 + 47*p**3 + 40*p**2 - 276*p.
p*(p - 2)*(p + 3)*(p + 46)
Determine p so that 3*p**4 + 9*p**3 - 9*p**2 - 33*p - 18 = 0.
-3, -1, 2
Factor 28*v**3 - 1860*v**2 + 1832*v.
4*v*(v - 1)*(7*v - 458)
Suppose -a**3/3 + 13*a**2/3 + a/3 - 13/3 = 0. What is a?
-1, 1, 13
Suppose 4*s**5/9 - 4*s**4/3 + 8*s**3/9 + 8*s**2/9 - 4*s/3 + 4/9 = 0. What is s?
-1, 1
Find b such that 8*b**4/7 + 58*b**3/7 - 120*b**2/7 + 54*b/7 = 0.
-9, 0, 3/4, 1
Determine x so that 5*x**3/3 - 4970*x**2 + 3700160*x + 22260640/3 = 0.
-2, 1492
Determine o, given that -3*o**4 + 66*o**3 - 177*o**2 + 114*o = 0.
0, 1, 2, 19
Factor -4*s**2 + 86*s - 82.
-2*(s - 1)*(2*s - 41)
Factor -2*n**2/3 + 146*n/3 - 284/3.
-2*(n - 71)*(n - 2)/3
Find i such that 2646*i**4/5 + 168*i**3/5 + 8*i**2/15 = 0.
-2/63, 0
Factor 3*i**3 - 12*i**2 - 33*i - 18.
3*(i - 6)*(i + 1)**2
Determine r, given that 315*r**5/2 + 270*r**4 - 1265*r**3/2 + 15*r**2 + 250*r - 60 = 0.
-3, -2/3, 2/7, 2/3, 1
Determine c so that -4*c**4/5 - 268*c**3/5 + 1756*c**2/5 + 268*c/5 - 1752/5 = 0.
-73, -1, 1, 6
Find f such that -2*f**3/3 - 182*f**2/3 - 1410*f - 1350 = 0.
-45, -1
Determine t so that t**2/4 - 41*t - 435 = 0.
-10, 174
Let 4*h**3/7 + 20*h**2/7 + 32*h/7 + 16/7 = 0. Calculate h.
-2, -1
Factor -4*x**3/9 + 1300*x**2 - 1267500*x + 411937500.
-4*(x - 975)**3/9
Suppose -a**4/5 + 4*a**3/5 - 2*a**2/5 - 4*a/5 + 3/5 = 0. What is a?
-1, 1, 3
Factor 5*b**2 - 1470*b + 1465.
5*(b - 293)*(b - 1)
Find l such that -3*l**4 - 21*l**3 + 90*l**2 - 12*l - 120 = 0.
-10, -1, 2
Find l such that 4*l**2 - 996*l = 0.
0, 249
Find s, given that s**2/8 - 5*s/8 = 0.
0, 5
Find w, given that 5*w**2 - 1635*w = 0.
0, 327
Suppose -k**5 + 60*k**4 - 896*k**3 - 240*k**2 + 3600*k = 0. What is k?
-2, 0, 2, 30
Factor -c**2 - 4*c - 4.
-(c + 2)**2
Factor -2*k**3/3 - 25*k**2/6 + 221*k/3 + 56/3.
-(k - 8)*(k + 14)*(4*k + 1)/6
Factor -12*k**5 + 2*k**4.
-2*k**4*(6*k - 1)
Factor 8*m**2 + 164*m - 84.
4*(m + 21)*(2*m - 1)
Let -3*d**3 - 7*d**2 + 2*d + 8 = 0. What is d?
-2, -4/3, 1
Find z, given that 9*z**4/4 + 3*z**3 - 21*z**2/4 - 3*z + 3 = 0.
-2, -1, 2/3, 1
Find o, given that 3*o**4/5 - 9*o**3/5 + 6*o**2/5 = 0.
0, 1, 2
Find c, given that -8*c**5 - 36*c**4 - 32*c**3 + 24*c**2 + 40*c + 12 = 0.
-3, -1, -1/2, 1
Let 4*k**4 - 16*k**3 = 0. What is k?
0, 4
Find g, given that -5*g**5 + 65*g**4 - 210*g**3 - 110*g**2 + 695*g + 525 = 0.
-1, 3, 5, 7
Let -2*k**5 - 14*k**4 - 6*k**3 + 38*k**2 + 8*k - 24 = 0. What is k?
-6, -2, -1, 1
Suppose 2*v**2/13 + 68*v + 7514 = 0. What is v?
-221
Find z, given that -z**4 - 6*z**3 + 41*z**2 + 6*z - 40 = 0.
-10, -1, 1, 4
Factor 3125*m**3 - 9875*m**2 + 1520*m - 60.
5*(m - 3)*(25*m - 2)**2
Let 72*i**4/19 - 120*i**3/19 - 262*i**2/19 - 4*i - 6/19 = 0. What is i?
-1, -1/6, 3
Solve -5*g**2 - 2795*g = 0.
-559, 0
Factor -f**2/3 - 223*f/3 - 74.
-(f + 1)*(f + 222)/3
What is c in 3*c**4 - 9*c**3 - 72*c**2 + 240*c = 0?
-5, 0, 4
Factor 21*n**3 - 246*n**2 + 159*n + 66.
3*(n - 11)*(n - 1)*(7*n + 2)
Factor -2*l**3/7 + 18*l**2/7 + 2*l/7 - 18/7.
-2*(l - 9)*(l - 1)*(l + 1)/7
Find y such that y**3/3 + 21*y**2/2 - 11*y/2 - 16/3 = 0.
-32, -1/2, 1
Factor -f**2 + 144*f.
-f*(f - 144)
Factor -2*q**2 - 16*q + 66.
-2*(q - 3)*(q + 11)
Factor n**4 + 5*n**3 + 3*n**2 - 5*n - 4.
(n - 1)*(n + 1)**2*(n + 4)
Determine c so that 3*c**3 - 45*c**2 + 108*c = 0.
0, 3, 12
Suppose 3*m**2 - 288*m + 5829 = 0. What is m?
29, 67
Suppose -3*h**3 + 36*h**2 - 105*h = 0. Calculate h.
0, 5, 7
Factor 4*i**3 - 168*i**2 + 164*i.
4*i*(i - 41)*(i - 1)
Let 5*n**2 - 170*n - 175 = 0. Calculate n.
-1, 35
What is v in v**2 - 146*v - 447 = 0?
-3, 149
Factor y**4 + 526*y**3 + 68641*y**2 - 138864*y + 