*n**2 - 828*n = 0.
-23, 0, 2, 3
Factor 8*h**3/7 + 3250*h**2/7 + 116*h.
2*h*(h + 406)*(4*h + 1)/7
Factor 2*d**4/9 + 2*d**3 + 4*d**2/3 - 112*d/9.
2*d*(d - 2)*(d + 4)*(d + 7)/9
What is s in s**3/4 - 29*s**2/4 + 247*s/4 - 507/4 = 0?
3, 13
Suppose -5*v**5 + 210*v**4 + 230*v**3 - 640*v**2 - 225*v + 430 = 0. Calculate v.
-2, -1, 1, 43
Solve -7*s**2 + 72*s - 81 = 0 for s.
9/7, 9
Factor -2*i**2/7 - 3596*i/7 - 1616402/7.
-2*(i + 899)**2/7
Suppose -4*j**5 - 25*j**4 + 14*j**3 + 173*j**2 - 118*j - 40 = 0. What is j?
-5, -4, -1/4, 1, 2
Factor -6*u**5 + 25*u**4 - 40*u**3 + 30*u**2 - 10*u + 1.
-(u - 1)**4*(6*u - 1)
Factor 2*h**3 + 184*h**2 + 4232*h.
2*h*(h + 46)**2
Factor 2*u**3/23 - 178*u**2/23 + 2264*u/23 + 5256/23.
2*(u - 73)*(u - 18)*(u + 2)/23
Factor -g**3 + 320*g**2 - 317*g - 638.
-(g - 319)*(g - 2)*(g + 1)
Factor -c**3/3 + 77*c**2/3 - 224*c/3 + 148/3.
-(c - 74)*(c - 2)*(c - 1)/3
Solve -g**5/3 + 2*g**4 - 7*g**3/3 - 2*g**2 + 8*g/3 = 0 for g.
-1, 0, 1, 2, 4
Find l such that -3*l**4/8 + 3*l**3/8 + 21*l**2/8 - 3*l/8 - 9/4 = 0.
-2, -1, 1, 3
Factor y**2 + 6*y - 832.
(y - 26)*(y + 32)
Find z such that z**5/3 + 20*z**4/3 - 22*z**3 + 68*z**2/3 - 23*z/3 = 0.
-23, 0, 1
Suppose -5*u**3 - 95*u**2 - 315*u - 225 = 0. What is u?
-15, -3, -1
Suppose 2*k**3/3 - 58*k**2/3 + 110*k/3 - 18 = 0. Calculate k.
1, 27
Solve -f**5 - 159*f**4 + 2006*f**3 - 7806*f**2 + 10235*f - 4275 = 0 for f.
-171, 1, 5
Suppose 5*d**2 - 45*d + 90 = 0. What is d?
3, 6
What is h in -25*h**4/2 - 855*h**3/2 + 1773*h**2 - 1210*h + 228 = 0?
-38, 2/5, 3
Determine v, given that 14*v**3 + 368*v**2 + 454*v + 100 = 0.
-25, -1, -2/7
Find i such that 6*i**4 + 33*i**3 + 42*i**2 = 0.
-7/2, -2, 0
Find s, given that 3*s**2 + 96*s = 0.
-32, 0
Factor -d**3/7 + 16*d**2/7 - 15*d/7.
-d*(d - 15)*(d - 1)/7
Find k such that -k**4 - 26*k**3 + 84*k**2 - 86*k + 29 = 0.
-29, 1
Find r, given that -2*r**3/9 - 14*r**2/3 - 100*r/9 + 16 = 0.
-18, -4, 1
Factor -3*o**4 - 147*o**3 + 468*o**2.
-3*o**2*(o - 3)*(o + 52)
Factor -3*g**3 + 1047*g**2 + 2103*g + 1053.
-3*(g - 351)*(g + 1)**2
What is u in 12*u**4 - 218*u**3 - 478*u**2 + 772*u - 240 = 0?
-3, 1/2, 2/3, 20
Factor 2*v**3 + 16*v**2 + 42*v + 36.
2*(v + 2)*(v + 3)**2
Determine p so that -p**3/2 + 177*p**2 - 20886*p + 821516 = 0.
118
Find j, given that 2*j**2/5 + 54*j/5 + 20 = 0.
-25, -2
Factor i**4/3 - 4*i**3/3 - 35*i**2/3 + 50*i.
i*(i - 5)**2*(i + 6)/3
Solve 9*p**2/8 - 597*p/4 + 99 = 0 for p.
2/3, 132
Factor 2*k**2 + 50*k + 272.
2*(k + 8)*(k + 17)
Solve 15*m**4 + 110*m**3 - 220*m**2 + 50*m + 45 = 0.
-9, -1/3, 1
Determine r, given that -32*r**2/13 - 2672*r/13 - 55778/13 = 0.
-167/4
What is i in 4*i**4/7 - 72*i**3/7 - 160*i**2/7 = 0?
-2, 0, 20
Determine f, given that 3*f**5/7 + 39*f**4/7 - 534*f**3/7 + 1284*f**2/7 - 792*f/7 = 0.
-22, 0, 1, 2, 6
Factor -5*z**5 - 30*z**4 - 40*z**3.
-5*z**3*(z + 2)*(z + 4)
Factor o**4/3 + 3*o**3 + 6*o**2 - 32*o/3 - 32.
(o - 2)*(o + 3)*(o + 4)**2/3
Suppose -a**3/4 - 401*a**2/4 + 404*a - 405 = 0. Calculate a.
-405, 2
Suppose 3*w**3/5 + 18*w**2/5 - 39*w/5 - 126/5 = 0. What is w?
-7, -2, 3
What is l in 4*l**2/5 + 1304*l/5 + 106276/5 = 0?
-163
Factor 2*l**3/15 - 22*l**2/5 + 242*l/5 - 2662/15.
2*(l - 11)**3/15
Let -4*x**2/5 - 148*x/5 - 1144/5 = 0. What is x?
-26, -11
Determine c, given that -c**4/2 - 7*c**3/2 - 11*c**2/2 - 5*c/2 = 0.
-5, -1, 0
Find b such that -b**5/9 + 4*b**4/9 + 4*b**3/3 - 32*b**2/9 - 64*b/9 = 0.
-2, 0, 4
Solve -5*r**2 + 98*r + 40 = 0 for r.
-2/5, 20
Find i, given that 3*i**3 - 144*i**2 - 612*i - 624 = 0.
-2, 52
Let 1014*q**3 + 5980*q**2 - 1864*q/3 + 16 = 0. Calculate q.
-6, 2/39
Factor 7*k**3 - 100*k**2 + 28*k.
k*(k - 14)*(7*k - 2)
Factor 5*j**2 + 1550*j + 120125.
5*(j + 155)**2
Determine z so that -3*z**5/2 + 15*z**4/4 + 3*z**3/4 - 21*z**2/4 + 3*z/4 + 3/2 = 0.
-1, -1/2, 1, 2
Factor -u**3 - 36*u**2 + u + 36.
-(u - 1)*(u + 1)*(u + 36)
Factor 18*v**5 - 4*v**4.
2*v**4*(9*v - 2)
Factor v**3 + 4*v**2 + v - 6.
(v - 1)*(v + 2)*(v + 3)
Factor 2*o**2/7 - 36*o/7.
2*o*(o - 18)/7
Determine l, given that l**3/4 + 11*l**2/2 - 16*l - 640 = 0.
-16, 10
What is w in -2*w**3/11 + 4*w**2/11 + 38*w/11 - 40/11 = 0?
-4, 1, 5
Suppose p**3/4 + 15*p**2/2 - 67*p/4 - 24 = 0. What is p?
-32, -1, 3
Factor 2*v**5 + 4*v**4 - 26*v**3 + 20*v**2.
2*v**2*(v - 2)*(v - 1)*(v + 5)
Factor 5*l**2 + 115*l + 110.
5*(l + 1)*(l + 22)
Suppose -4*f**2/5 - 24*f/5 - 32/5 = 0. Calculate f.
-4, -2
Suppose c**4/7 - 4*c**3/7 - 47*c**2/7 + 30*c = 0. Calculate c.
-7, 0, 5, 6
Find w, given that 2*w**2/7 + 66*w/7 - 20 = 0.
-35, 2
Factor y**3 - 37*y**2 + 248*y - 464.
(y - 29)*(y - 4)**2
Factor x**2/4 + 11*x.
x*(x + 44)/4
Factor 4*n**2/5 + 88*n/5 - 92/5.
4*(n - 1)*(n + 23)/5
Let -d**5/4 - 39*d**4/4 - 35*d**3/2 + 39*d**2 + 74*d = 0. Calculate d.
-37, -2, 0, 2
Suppose -5*q**3/4 - 5*q**2 + 15*q = 0. What is q?
-6, 0, 2
Let -2*d**2 + 70*d - 132 = 0. Calculate d.
2, 33
Let -20*i**4 - 172*i**3 - 88*i**2 + 64*i = 0. What is i?
-8, -1, 0, 2/5
Determine s so that s**5 + 8*s**4 - 43*s**3 + 58*s**2 - 24*s = 0.
-12, 0, 1, 2
Factor y**3 + y**2 - 4*y - 4.
(y - 2)*(y + 1)*(y + 2)
Find g such that 10*g**4/7 + 142*g**3/7 - 582*g**2/7 - 1822*g/7 - 340/7 = 0.
-17, -2, -1/5, 5
Solve 3*b**3 - 57*b**2 + 150*b - 96 = 0 for b.
1, 2, 16
Let l**5 - 4*l**4 + 4*l**3 = 0. What is l?
0, 2
Let -4*w**5 - 20*w**4 + 36*w**3 + 52*w**2 - 112*w + 48 = 0. Calculate w.
-6, -2, 1
Find x, given that -x**2/8 - 7*x/8 - 3/2 = 0.
-4, -3
What is p in 3*p**3/5 - 2*p**2/5 - p + 4/5 = 0?
-4/3, 1
Factor -l**3/5 - 724*l**2/5 - 289*l - 722/5.
-(l + 1)**2*(l + 722)/5
Solve m**4/5 + 211*m**3/5 - 426*m**2/5 = 0.
-213, 0, 2
Factor 3*w**2/2 - 594*w + 58806.
3*(w - 198)**2/2
Find n, given that n**4/7 - 3*n**3 - 22*n**2/7 = 0.
-1, 0, 22
Find y, given that -2*y**5/7 + 24*y**4/7 - 114*y**3/7 + 268*y**2/7 - 312*y/7 + 144/7 = 0.
2, 3
Factor -x**4/6 - 157*x**3/3 - 24961*x**2/6 - 8164*x - 4056.
-(x + 1)**2*(x + 156)**2/6
What is g in 2*g**2 - 1432*g - 1434 = 0?
-1, 717
Let 4*v**4/5 + 7*v**3/5 - 6*v**2/5 - 7*v/5 + 2/5 = 0. What is v?
-2, -1, 1/4, 1
Solve 3*c**4/8 - 177*c**3/8 - 741*c**2/8 - 939*c/8 - 189/4 = 0.
-2, -1, 63
Suppose -48*x**5 - 564*x**4 - 3267*x**3/4 + 231*x**2 - 15*x = 0. What is x?
-10, -2, 0, 1/8
Factor -108*x**2 - 208*x + 16.
-4*(x + 2)*(27*x - 2)
Determine d so that 5*d**3/2 - 70*d**2 - 10*d + 280 = 0.
-2, 2, 28
Let -2*c**5 + 2*c**4 + 46*c**3 - 10*c**2 - 116*c + 80 = 0. Calculate c.
-4, -2, 1, 5
Let k**3 - k = 0. What is k?
-1, 0, 1
Suppose 4*m**2 + 636*m + 1256 = 0. Calculate m.
-157, -2
Factor -j**3/2 - 8*j**2 - 15*j/2.
-j*(j + 1)*(j + 15)/2
Factor -h**3/4 + 5*h**2/4 - 7*h/4 + 3/4.
-(h - 3)*(h - 1)**2/4
Solve -2*v**3 - 978*v**2 - 121014*v - 354294 = 0.
-243, -3
What is f in 4*f**3 + 88*f**2 + 364*f + 408 = 0?
-17, -3, -2
Factor -b**2 - 63*b + 64.
-(b - 1)*(b + 64)
Factor -4*x**2/3 + 2444*x/3.
-4*x*(x - 611)/3
Determine p so that -p**2 + 258*p + 520 = 0.
-2, 260
Let -4*n**5 + 24*n**4 + 40*n**3 - 208*n**2 - 420*n - 200 = 0. Calculate n.
-2, -1, 5
What is h in -4*h**5 - 148*h**4 + 312*h**3 - 8*h**2 - 308*h + 156 = 0?
-39, -1, 1
Factor -141267*f**2/2 + 3906*f - 54.
-3*(217*f - 6)**2/2
Find h such that 5*h**5 + 60*h**4 + 15*h**3 - 1480*h**2 - 3600*h = 0.
-9, -4, 0, 5
Find c such that 4*c**4 + 36*c**3 + 24*c**2 - 64*c = 0.
-8, -2, 0, 1
Factor -5*o**3 - 65*o**2 - 130*o + 200.
-5*(o - 1)*(o + 4)*(o + 10)
Determine n so that 5*n**4 - 60*n**3 - 90*n**2 + 340*n - 195 = 0.
-3, 1, 13
Suppose -4*m**4 + 516*m**3 + 520*m**2 = 0. What is m?
-1, 0, 130
Suppose -11449*g**3/6 + 49755*g**2/2 - 928*g + 26/3 = 0. What is g?
2/107, 13
Factor 2*x**3/7 - 2*x/7.
2*x*(x - 1)*(x + 1)/7
Factor -5*s**2 + 110*s - 605.
-5*(s - 11)**2
Find u such that 10*u**4/3 - 4*u**3/3 - 40*u**2/3 + 16*u/3 = 0.
-2, 0, 2/5, 2
Let n**4 + 8*n**3 + 21*n**2 + 18*n = 0. What is n?
-3, -2, 0
Factor 2*z**4 - 76*z**3 + 642*z**2 + 1520*z + 800.
2*(z - 20)**2*(z + 1)**2
Factor -3*c**2/4 - 10*c + 7.
-(c + 14)*(3*c - 2)/4
Determine f so that -3*f**3 - 102*f**2 - 867*f = 0.
-17, 0
Factor k**3/3 - k/3.
k*(k - 1)*(k + 1)/3
Factor -2*m**3/3 - 236*m**2/3 + 2*m/3 + 236/3.
-2*(m - 1)*(m + 1)*(m + 118)/3
What is f in 45*f**3 + 1320*f**2 - 3760*f + 2560 = 0?
-32, 4/3
Factor -2*k**2/11 - 9046*k/11 + 9048/11.
-2*(k - 1)*(k + 4524)/11
Factor -100*c**2 - 4096*c + 164.
-4*(c + 41)*(25*c - 1)
Find u such that -3