 141*s**3/2 - 110*s**2 + 50*s.
s*(s - 10)**2*(s - 1)**2/2
Solve 2*u**3/5 - 16*u**2/5 + 38*u/5 - 24/5 = 0 for u.
1, 3, 4
Suppose -b**2 + 7*b - 10 = 0. Calculate b.
2, 5
Suppose 3*n**5 - 825*n**4 - 4191*n**3 - 2547*n**2 + 7560*n = 0. What is n?
-3, 0, 1, 280
Factor m**3/4 - m**2/2 + m/4.
m*(m - 1)**2/4
Factor 7*j**3 - 114*j**2 + 480*j - 128.
(j - 8)**2*(7*j - 2)
Factor -9*j**2/7 - 444*j/7 + 300/7.
-3*(j + 50)*(3*j - 2)/7
Determine t so that -2*t**4 + 9878*t**3 - 16255890*t**2 + 8902782738*t + 17870668092 = 0.
-2, 1647
Find p, given that p**5/3 - 2*p**4 + 10*p**3/3 - 11*p/3 + 2 = 0.
-1, 1, 2, 3
Determine x so that x**3/8 - 21*x**2/2 + 294*x - 2744 = 0.
28
Find z such that z**3 - 4059*z**2 + 5491827*z - 2476813977 = 0.
1353
Factor 4*f**3/7 + 8*f**2/7 - 132*f/7 - 360/7.
4*(f - 6)*(f + 3)*(f + 5)/7
Suppose -9*i**4 - 30*i**3 - 21*i**2 + 12*i + 12 = 0. What is i?
-2, -1, 2/3
Determine x, given that x**2/2 - 33*x - 656 = 0.
-16, 82
What is s in 2*s**5 - 94*s**4 - 396*s**3 - 604*s**2 - 406*s - 102 = 0?
-1, 51
Factor -5041*i**4 - 2556*i**3 - 324*i**2.
-i**2*(71*i + 18)**2
Factor 5*t**2/3 + 8410*t/3 + 3536405/3.
5*(t + 841)**2/3
What is m in -4*m**3 - 32*m**2 - 60*m = 0?
-5, -3, 0
Find a, given that -2*a**5/9 - 68*a**4/9 + 128*a**3/3 - 244*a**2/9 - 382*a/9 + 104/3 = 0.
-39, -1, 1, 4
Factor -4*q**4 - 152*q**3 - 1712*q**2 - 5032*q - 3468.
-4*(q + 1)*(q + 3)*(q + 17)**2
Factor 8*y**3/5 - 42*y**2/5 + 58*y/5 - 12/5.
2*(y - 3)*(y - 2)*(4*y - 1)/5
Factor 4*c**2 + 180*c - 184.
4*(c - 1)*(c + 46)
Factor -15*m**3 + 183*m**2 - 321*m + 153.
-3*(m - 1)**2*(5*m - 51)
Find y such that 4*y**3/7 + 228*y**2/7 + 444*y/7 + 220/7 = 0.
-55, -1
Factor -5*c**2 + 20*c.
-5*c*(c - 4)
Factor 5*s**2 - 165*s - 350.
5*(s - 35)*(s + 2)
Solve 4*s**2 + 116*s + 112 = 0 for s.
-28, -1
Factor 2*l**2 - 124*l + 1922.
2*(l - 31)**2
Solve t**2 + 27*t - 160 = 0.
-32, 5
Determine a so that 6*a**5 + 15*a**4 - 12*a**3 - 57*a**2 - 48*a - 12 = 0.
-2, -1, -1/2, 2
Factor 3*j**3/8 + 111*j**2/4 - 1257*j/8 - 711.
3*(j - 8)*(j + 3)*(j + 79)/8
Suppose -8*p**5/11 - 50*p**4/11 - 4*p**3 + 40*p**2/11 + 52*p/11 + 10/11 = 0. Calculate p.
-5, -1, -1/4, 1
Determine v so that v**4 - 25*v**3/3 + 23*v**2 - 21*v = 0.
0, 7/3, 3
Factor -5*w**2 + 100*w - 95.
-5*(w - 19)*(w - 1)
Solve -3*f**3/5 - 69*f**2/5 + 3*f/5 + 69/5 = 0.
-23, -1, 1
Find x such that 38*x**2/13 + 140*x/13 - 48/13 = 0.
-4, 6/19
Factor -a**2 + 29*a + 62.
-(a - 31)*(a + 2)
Factor d**2/3 - 43*d/3 + 52.
(d - 39)*(d - 4)/3
Determine q, given that 4*q**3 - 48*q**2 - 180*q = 0.
-3, 0, 15
Factor -5*a**2 - 65*a + 150.
-5*(a - 2)*(a + 15)
Determine h so that -5*h**4 + 240*h**3 + 245*h**2 = 0.
-1, 0, 49
Find o, given that o**5/3 - 49*o**4/3 + 814*o**3/3 - 4768*o**2/3 + 2560*o/3 + 8192/3 = 0.
-1, 2, 16
Find h such that h**4/3 + 185*h**3/3 + 180*h**2 - 1100*h/3 - 1456/3 = 0.
-182, -4, -1, 2
Determine k, given that -111*k**4/7 + 22*k**3 - 45*k**2/7 + 2*k/7 = 0.
0, 2/37, 1/3, 1
Find s such that s**2/4 + 815*s/2 = 0.
-1630, 0
Factor -5*k**3 - 45*k**2.
-5*k**2*(k + 9)
Factor 4*a**2/3 + 4022*a + 6032/3.
2*(a + 3016)*(2*a + 1)/3
Factor 4*g**3 - 38*g**2 + 80*g + 50.
2*(g - 5)**2*(2*g + 1)
Determine a, given that -4*a**2/3 + 436*a/3 = 0.
0, 109
Determine u so that 6*u**4 - 38*u**3 - 102*u**2 + 182*u - 48 = 0.
-3, 1/3, 1, 8
Factor h**3 + 794*h**2 - 3188*h + 3192.
(h - 2)**2*(h + 798)
Factor -5*s**3/6 + 40*s**2 - 155*s/2 + 115/3.
-5*(s - 46)*(s - 1)**2/6
Solve -100*l**5 - 680*l**4 - 996*l**3 - 496*l**2 - 80*l = 0 for l.
-5, -1, -2/5, 0
Factor -3*v**3/7 - 150*v**2/7 - 129*v/7 + 126.
-3*(v - 2)*(v + 3)*(v + 49)/7
Solve 5*q**2 - 15*q + 10 = 0.
1, 2
Factor 4*d**4 + 44*d**3 + 152*d**2 + 160*d.
4*d*(d + 2)*(d + 4)*(d + 5)
Factor 3*r**4/8 + 199*r**3/8 + 32*r**2 - 65*r/2.
r*(r + 2)*(r + 65)*(3*r - 2)/8
Factor 3*f**2 + 123*f + 120.
3*(f + 1)*(f + 40)
Find r such that 50*r**4/3 - 40*r**3 - 56*r**2/3 + 64*r = 0.
-6/5, 0, 8/5, 2
Suppose -5*o**2 - 1020*o + 3105 = 0. Calculate o.
-207, 3
Suppose 2*j**4 + 78*j**3 - 712*j**2 + 1848*j - 1504 = 0. Calculate j.
-47, 2, 4
Suppose -2*g**3/3 - 406*g**2/3 - 20806*g/3 - 20402/3 = 0. Calculate g.
-101, -1
Suppose -p**5/6 - 23*p**4/6 - 32*p**3/3 + 380*p**2/3 - 728*p/3 + 392/3 = 0. Calculate p.
-14, 1, 2
Determine u so that -u**2/2 - 8*u + 17/2 = 0.
-17, 1
Solve -3*q**4 - 56*q**3 - 132*q**2 - 64*q = 0 for q.
-16, -2, -2/3, 0
Factor -2*g**4/11 + 152*g**3/11 - 1206*g**2/11.
-2*g**2*(g - 67)*(g - 9)/11
Factor 2*h**2 - 858*h + 856.
2*(h - 428)*(h - 1)
Factor -l**4 + l**2.
-l**2*(l - 1)*(l + 1)
Determine s so that 14*s**5/5 - 104*s**4/5 + 28*s**3 + 168*s**2/5 - 18*s = 0.
-1, 0, 3/7, 3, 5
Determine x, given that -2*x**4/5 - 46*x**3/5 - 64*x**2 - 120*x = 0.
-10, -3, 0
Let -2*w**5 - 4*w**4 + 6*w**3 + 16*w**2 + 8*w = 0. Calculate w.
-2, -1, 0, 2
Solve 2*h**5/7 - 76*h**4/7 + 108*h**3/7 + 12136*h**2/7 + 34450*h/7 + 22500/7 = 0 for h.
-9, -2, -1, 25
Suppose 2*a**3/7 - 1258*a**2/7 - 2522*a/7 - 1262/7 = 0. What is a?
-1, 631
Factor -2*k**2 - 1136*k.
-2*k*(k + 568)
Let -3*v**3 + 1349*v**2 + 450*v = 0. Calculate v.
-1/3, 0, 450
Find j, given that -130*j**2 - 5065*j + 195 = 0.
-39, 1/26
Factor -2*l**3/5 - 34*l**2/5 + 674*l/5 - 638/5.
-2*(l - 11)*(l - 1)*(l + 29)/5
Factor -2*v**3/5 - 340*v**2 - 359544*v/5 + 725904/5.
-2*(v - 2)*(v + 426)**2/5
Determine r so that -33*r**3/4 + 243*r**2 - 1845*r/4 + 453/2 = 0.
1, 302/11
Factor -v**3/5 + 92*v**2/5 - 441*v + 810.
-(v - 45)**2*(v - 2)/5
Find p, given that p**5/6 + 7*p**4/6 - p**3/6 - 43*p**2/6 + 6 = 0.
-6, -3, -1, 1, 2
Solve -q**4 + 28*q**3 - 27*q**2 = 0 for q.
0, 1, 27
Let -2*i**4/5 + 74*i**3/5 + 76*i**2/5 = 0. What is i?
-1, 0, 38
Find h, given that h**3/2 + 7*h**2/2 + 3*h = 0.
-6, -1, 0
Solve 15*i**4 - 111*i**3 + 132*i**2 - 36*i = 0.
0, 2/5, 1, 6
Determine g so that 3*g**3/7 + 3*g**2/7 - 90*g/7 = 0.
-6, 0, 5
Factor 4*x**2/5 + 24*x + 116/5.
4*(x + 1)*(x + 29)/5
Find c, given that 2*c**2/17 + 18*c/17 + 16/17 = 0.
-8, -1
Let 3*g**4 + 3*g**3 - 6*g**2 = 0. What is g?
-2, 0, 1
Suppose -2*k**4 - 98*k**3/5 + 78*k**2 - 334*k/5 + 52/5 = 0. What is k?
-13, 1/5, 1, 2
Factor -4*f**4/9 + 140*f**3/9 - 200*f**2/3.
-4*f**2*(f - 30)*(f - 5)/9
Factor -5*y**3 - 140*y**2 - 1225*y - 3430.
-5*(y + 7)**2*(y + 14)
Solve 4*z**2 + 40*z - 44 = 0 for z.
-11, 1
Solve -4*n**3/3 - 11*n**2/3 + 14*n + 39 = 0 for n.
-3, 13/4
Let 2*c**4/7 - 22*c**3/7 - 24*c**2/7 + 512*c/7 + 512/7 = 0. Calculate c.
-4, -1, 8
Find x, given that -3*x**5/5 + 48*x**4/5 - 264*x**3/5 + 102*x**2 + 15*x - 150 = 0.
-1, 2, 5
Determine x, given that 6*x**2/5 - 262*x - 876/5 = 0.
-2/3, 219
Factor 2*p**5/3 + 380*p**4/3 + 500*p**3 + 2240*p**2/3 + 1490*p/3 + 124.
2*(p + 1)**4*(p + 186)/3
Factor -3*l**4 + 18*l**2 - 24*l + 9.
-3*(l - 1)**3*(l + 3)
Factor -5*o**2 + 700*o + 2145.
-5*(o - 143)*(o + 3)
Suppose 4*c**5 + 44*c**4 + 44*c**3 - 620*c**2 - 1776*c - 1152 = 0. What is c?
-8, -3, -1, 4
Find u, given that u**4/2 - 90*u**3 + 1219*u**2/2 - 684*u - 1384 = 0.
-1, 4, 173
Factor 4*j**2 - 13352*j + 11142244.
4*(j - 1669)**2
Solve -3*d**2/5 - 48*d/5 + 48 = 0 for d.
-20, 4
Determine y so that -3*y**3 + 12777*y**2 = 0.
0, 4259
Factor -3*l**3 - 138*l**2 - 393*l - 258.
-3*(l + 1)*(l + 2)*(l + 43)
Determine l, given that -l**2 + 12*l + 85 = 0.
-5, 17
Factor -b**4/5 - 9868*b**3/5 - 24344356*b**2/5.
-b**2*(b + 4934)**2/5
What is h in 3*h**4/2 - 19*h**3 + 129*h**2/2 - 35*h = 0?
0, 2/3, 5, 7
Factor -4*w**3 + 608*w**2 - 23104*w.
-4*w*(w - 76)**2
Solve -3*y**5/5 - 7*y**4/5 + 4*y**2/5 = 0 for y.
-2, -1, 0, 2/3
Factor -4*j**5/5 - 336*j**4/5 - 984*j**3/5 - 976*j**2/5 - 324*j/5.
-4*j*(j + 1)**3*(j + 81)/5
Find b such that 2*b**4 + 9*b**3/2 - 5*b**2 - 3*b/2 = 0.
-3, -1/4, 0, 1
Find p, given that p**2/3 + 2*p - 55/3 = 0.
-11, 5
Suppose -2*k**2/5 - 26*k - 1188/5 = 0. Calculate k.
-54, -11
Determine z so that -27*z**4/4 - 105*z**3/2 - 519*z**2/4 - 90*z + 27 = 0.
-3, -2, 2/9
Suppose 3*d**2/7 + 981*d/7 - 282 = 0. What is d?
-329, 2
Factor b**4/2 + b**3/6.
b**3*(3*b + 1)/6
Suppose -726*k**5/7 + 23914*k**4/3 + 7940*k**3/7 - 2664*k**2/7 - 176*k/3 = 0. Calculate k.
-2/11, 0, 2/9, 77
Factor -2*j**3/9 - 4*j**2/3 - 2*j - 8/9.
-2*(j + 1)**2*(j + 4)/9
Factor -2*b**2/3 - 40*b + 122/3.
-2*(b - 1)*(b + 61)/3
Suppose 5*r**3 - 1620*r**2 + 134400*r - 512000 = 0. What is r?
4, 160
Factor -2*z**2/5 - 24*z/5 + 896/5.
-2*(z - 16)*(z +