*(h + 311)
Suppose -x**4/2 + 27*x**3/2 + 123*x**2/2 + 37*x/2 - 93 = 0. What is x?
-3, -2, 1, 31
Factor h**2/10 + 8*h + 160.
(h + 40)**2/10
Solve 4*m**4 + 20*m**3 + 20*m**2 - 20*m - 24 = 0.
-3, -2, -1, 1
Determine k so that 4*k**2 + 900*k + 1784 = 0.
-223, -2
Let 6*v**2 + 1959*v - 981 = 0. What is v?
-327, 1/2
Solve -4*l**3/9 + 4*l**2/3 + 4*l/9 - 4/3 = 0.
-1, 1, 3
Factor 2*z**3/3 + 190*z**2/3 + 122*z - 186.
2*(z - 1)*(z + 3)*(z + 93)/3
Solve -5*z**3 - 115*z**2 - 595*z + 715 = 0.
-13, -11, 1
Determine l so that 36*l**5 + 30780*l**4 + 6563804*l**3 - 6598044*l**2 - 729312*l + 732736 = 0.
-428, -1/3, 1/3, 1
Factor -2*s**2/7 + 436*s/7 + 438/7.
-2*(s - 219)*(s + 1)/7
Factor c**4/4 + 1679*c**3/4 + 234780*c**2 + 43668800*c - 43904000.
(c - 1)*(c + 560)**3/4
Factor -58*j**2 - 52*j + 6.
-2*(j + 1)*(29*j - 3)
Factor -2*w**4 + 14*w**3 + 16*w**2.
-2*w**2*(w - 8)*(w + 1)
Factor -2*x**4/9 + 284*x**3/3 - 10176*x**2 + 179776*x/9.
-2*x*(x - 212)**2*(x - 2)/9
Solve -4*p**2 - 56*p + 60 = 0 for p.
-15, 1
Determine x so that 14*x**3/11 - 158*x**2/11 + 144*x/11 = 0.
0, 1, 72/7
Determine w so that -w**4/4 - 43*w**3/4 - 189*w**2/4 + 43*w/4 + 95/2 = 0.
-38, -5, -1, 1
Factor -h**2/8 - 3*h/8.
-h*(h + 3)/8
Factor 8*u**4 + 17*u**3 - 58*u**2 + 33*u.
u*(u - 1)**2*(8*u + 33)
Suppose -x**4/4 + 15*x**3/4 - 33*x**2/2 + 29*x - 18 = 0. Calculate x.
2, 9
What is c in -c**3/9 + 1136*c**2/9 - 322624*c/9 = 0?
0, 568
What is n in -2*n**4 - 17*n**3 + 81*n**2 - 36*n = 0?
-12, 0, 1/2, 3
Factor 10*y**5 + 135*y**4 + 420*y**3 - 245*y**2.
5*y**2*(y + 7)**2*(2*y - 1)
Suppose 2*w**5/5 - 18*w**4/5 = 0. What is w?
0, 9
Factor -2*q**2 + 138*q + 140.
-2*(q - 70)*(q + 1)
Factor m**4/2 - 63*m**3/2 + 90*m**2 + 2*m - 120.
(m - 60)*(m - 2)**2*(m + 1)/2
Suppose -2*f**4 + 32*f**3 - 138*f**2 + 180*f = 0. Calculate f.
0, 3, 10
Factor -3*p**3 + 1119*p**2/5 + 90*p.
-3*p*(p - 75)*(5*p + 2)/5
Factor -f**4/8 + f**3/4 - f**2/8.
-f**2*(f - 1)**2/8
Factor 3*o**3 - 33*o**2 + 60*o + 96.
3*(o - 8)*(o - 4)*(o + 1)
What is z in -3*z**5 - 135*z**4 + 291*z**3 + 399*z**2 - 1116*z + 564 = 0?
-47, -2, 1, 2
Factor 2*t**3/5 - 18*t**2/5 - 2*t/5 + 42.
2*(t - 7)*(t - 5)*(t + 3)/5
Factor v**3/2 + 111*v**2/2 + 268*v + 318.
(v + 2)*(v + 3)*(v + 106)/2
Let h**2/4 - 5*h - 21/4 = 0. What is h?
-1, 21
Factor 4*k**4 - 32*k**3 + 84*k**2 - 72*k.
4*k*(k - 3)**2*(k - 2)
Factor 2*c**3/5 + 36*c**2/5 + 24*c - 80.
2*(c - 2)*(c + 10)**2/5
Factor -d**2 + 106*d - 2809.
-(d - 53)**2
Determine g, given that 3*g**4 + 45*g**3 + 108*g**2 - 12*g - 144 = 0.
-12, -2, 1
Solve -3*u**5/2 - 60*u**4 + 651*u**3/2 - 534*u**2 + 270*u = 0.
-45, 0, 1, 2
Factor -2*p**3/17 + 196*p**2/17.
-2*p**2*(p - 98)/17
Determine i so that 2*i**4 + 178*i**3 + 350*i**2 + 174*i = 0.
-87, -1, 0
Suppose w**3/3 + 58*w**2/3 + 424*w/3 - 896 = 0. What is w?
-48, -14, 4
Solve -135*m**4 - 820*m**3 + 2100*m**2 + 160*m = 0 for m.
-8, -2/27, 0, 2
Factor -j**3 - 32*j**2 + 67*j - 34.
-(j - 1)**2*(j + 34)
Find r, given that -3*r**5 + 3*r**4 + 6*r**3 - 6*r**2 - 3*r + 3 = 0.
-1, 1
Find n, given that n**3 - 70*n**2/3 + 143*n - 602/3 = 0.
2, 7, 43/3
What is h in -5*h**5 + 5*h**4 + 85*h**3 + 75*h**2 = 0?
-3, -1, 0, 5
Factor -162*a**3/11 - 18*a**2/11 + 112*a/11 - 32/11.
-2*(a + 1)*(9*a - 4)**2/11
Factor -s**5/7 - s**4 - 15*s**3/7 - 13*s**2/7 - 4*s/7.
-s*(s + 1)**3*(s + 4)/7
Factor 3*g**2/5 + 42*g/5.
3*g*(g + 14)/5
Suppose -j**3 - 12*j**2 - 39*j - 28 = 0. Calculate j.
-7, -4, -1
Let -4*y**5 - 40*y**4 + 112*y**3 + 184*y**2 - 108*y - 144 = 0. Calculate y.
-12, -1, 1, 3
Let -4*i**2/5 - 3391*i/5 + 848/5 = 0. What is i?
-848, 1/4
Determine w so that -5*w**2 + 260*w - 255 = 0.
1, 51
Solve -2*r**4/11 + 78*r**3/11 - 324*r**2/11 - 568*r/11 + 816/11 = 0.
-2, 1, 6, 34
Determine m, given that -4*m**3/7 - 24*m**2/7 - 48*m/7 - 32/7 = 0.
-2
Factor -2*l**4/11 + 54*l**2/11 - 108*l/11.
-2*l*(l - 3)**2*(l + 6)/11
Factor 5*v**2 - 55*v - 60.
5*(v - 12)*(v + 1)
Suppose 5*z**2 - 95*z + 390 = 0. What is z?
6, 13
Factor 8*o**2/9 - 6*o - 14/9.
2*(o - 7)*(4*o + 1)/9
Let 2*g**2/7 - 132*g/7 + 2178/7 = 0. Calculate g.
33
Factor -24*f**4/13 - 2*f**3/13.
-2*f**3*(12*f + 1)/13
Factor -4*h**3/7 + 204*h**2/7 - 584*h/7 + 384/7.
-4*(h - 48)*(h - 2)*(h - 1)/7
What is y in 4*y**5 + 4*y**4 - 116*y**3 - 116*y**2 + 544*y - 320 = 0?
-4, 1, 5
Determine y, given that y**5/3 - 4*y**3 + 2*y**2/3 + 9*y - 6 = 0.
-3, -2, 1, 3
Solve -q**5 + 54*q**4 - 52*q**3 - 54*q**2 + 53*q = 0 for q.
-1, 0, 1, 53
Factor 4*c**2 + 124*c + 120.
4*(c + 1)*(c + 30)
Find z, given that 7*z**4/9 + 373*z**3/9 + 578*z**2 + 6188*z/9 + 1352/9 = 0.
-26, -1, -2/7
Find f such that -4*f**4 - 52*f**3 + 180*f**2 - 188*f + 64 = 0.
-16, 1
Solve 8*b**5/11 - 2*b**3 + 18*b**2/11 - 4*b/11 = 0 for b.
-2, 0, 1/2, 1
Factor 6*q**3 + 52*q**2 + 86*q + 40.
2*(q + 1)**2*(3*q + 20)
What is q in 2*q**5 - 6*q**4 - 4*q**3 + 12*q**2 + 2*q - 6 = 0?
-1, 1, 3
Determine m, given that 2*m**5 + 88*m**4/3 + 764*m**3/9 + 424*m**2/9 + 22*m/3 = 0.
-11, -3, -1/3, 0
Factor -r**3/5 + 242*r**2/5 - 3241*r/5 + 11172/5.
-(r - 228)*(r - 7)**2/5
Factor l**5 + 9*l**4 + 28*l**3 + 36*l**2 + 16*l.
l*(l + 1)*(l + 2)**2*(l + 4)
Determine b so that 3*b**3 + 6*b**2 - 12*b - 24 = 0.
-2, 2
Factor -2*u**4 + 30*u**3 - 52*u**2.
-2*u**2*(u - 13)*(u - 2)
Factor -2*o**2/7 + 6*o - 76/7.
-2*(o - 19)*(o - 2)/7
Suppose -9*w**5/5 + 123*w**4/5 + 51*w**3/5 - 123*w**2/5 - 42*w/5 = 0. What is w?
-1, -1/3, 0, 1, 14
Factor 5*o**2 + 275*o.
5*o*(o + 55)
Factor -5*j**4 - 130*j**3 + 1500*j**2 - 2590*j + 1225.
-5*(j - 7)*(j - 1)**2*(j + 35)
Factor 2*n**3 - 18*n**2 + 46*n - 30.
2*(n - 5)*(n - 3)*(n - 1)
Factor -4*i**4 - 32*i**3 - 52*i**2 - 24*i.
-4*i*(i + 1)**2*(i + 6)
Factor -20*w**3 + 55*w**2 - 35*w.
-5*w*(w - 1)*(4*w - 7)
Let -4*m**3 + 20*m**2 - 24*m = 0. What is m?
0, 2, 3
Solve 2*l**2/21 - 14996*l/21 + 28110002/21 = 0.
3749
Determine m so that m**2/5 - 96*m/5 + 108 = 0.
6, 90
Suppose 3*w**5 + 60*w**4 + 369*w**3 + 336*w**2 - 3504*w - 8064 = 0. Calculate w.
-8, -7, -4, 3
Find w such that -2*w**4/13 - 68*w**3/13 - 34*w**2/13 + 1016*w/13 - 1320/13 = 0.
-33, -5, 2
What is c in 18*c**4 + 12*c**3 - 46*c**2 + 8*c + 8 = 0?
-2, -1/3, 2/3, 1
Let 2*j**2 + 88*j + 918 = 0. What is j?
-27, -17
Factor -h**4 - 51*h**3 - 848*h**2 - 4284*h + 5184.
-(h - 1)*(h + 16)*(h + 18)**2
Factor -2*p**3/5 - 178*p**2/5 + 364*p/5.
-2*p*(p - 2)*(p + 91)/5
Determine q so that -3*q**4 - 21*q**3 - 24*q**2 + 48*q = 0.
-4, 0, 1
Determine c so that 3*c**3 + 15*c**2 + 6*c - 24 = 0.
-4, -2, 1
Let 4*g**5 - 132*g**4 + 1632*g**3 - 9184*g**2 + 22080*g - 14400 = 0. What is g?
1, 6, 10
Factor 25*q**2 - 77*q + 6.
(q - 3)*(25*q - 2)
Determine c, given that c**5 - 26*c**4 + 192*c**3 - 550*c**2 + 623*c - 240 = 0.
1, 3, 5, 16
Suppose 12*p**2 + 4*p - 16 = 0. What is p?
-4/3, 1
What is x in 15*x**5/7 + 66*x**4/7 + 12*x**3 + 24*x**2/7 = 0?
-2, -2/5, 0
Let -10*y**4 - 5955*y**3/4 - 218255*y**2/4 + 252375*y/4 - 28125/4 = 0. Calculate y.
-75, 1/8, 1
Find t, given that 3*t**3/4 + 5*t**2/2 + 3*t/4 = 0.
-3, -1/3, 0
Suppose 6*n**4/5 + 501*n**3/5 + 11268*n**2/5 + 6528*n - 3840 = 0. What is n?
-40, -4, 1/2
Factor -4*l**4 - 68*l**3 + 1200*l**2 - 5312*l + 7424.
-4*(l - 4)**3*(l + 29)
What is u in 3*u**2 - 3888*u + 1259712 = 0?
648
What is a in -2*a**3 + 208*a**2 - 410*a + 204 = 0?
1, 102
Solve -12*h**5 + 8*h**4 + 28*h**3 + 8*h**2 = 0 for h.
-1, -1/3, 0, 2
Find k, given that -36*k**4 - 96*k**3 + 452*k**2 + 880*k - 1200 = 0.
-10/3, 1, 3
Find g such that -4*g**5/5 + 4*g**4 + 88*g**3/5 + 64*g**2/5 = 0.
-2, -1, 0, 8
Factor -x**5/7 - 4*x**4/7 - 5*x**3/7 - 2*x**2/7.
-x**2*(x + 1)**2*(x + 2)/7
Determine f, given that 4*f**4 - 1264*f**3 + 103576*f**2 - 587760*f + 864900 = 0.
3, 155
Factor 3*l**3/4 + 17*l**2/4 + 11*l/2 + 2.
(l + 1)*(l + 4)*(3*l + 2)/4
Let 3*r**2 + 513*r = 0. What is r?
-171, 0
Find j, given that -40*j**3 - 290*j**2/3 - 65*j/3 = 0.
-13/6, -1/4, 0
Suppose 2*r**3/11 + 224*r**2/11 - 8*r/11 - 896/11 = 0. What is r?
-112, -2, 2
Solve -5*f**5 - 25*f**4 - 45*f**3 - 35*f**2 - 10*f = 0.
-2, -1, 0
Let -5*g**3 - 45*g**2 + 60*g + 100 = 0. What is g?
-10, -1, 2
Factor 6*v**3 + 2727*v**2 + 307800*v - 467856.
3*(v + 228)**2*(2*v - 3)
Find u such that -3*u**2/7 - 30*u/7 - 27/7 = 0.
-9, -1
Factor -r**4 - 612*r**3 - 140454*r**2 - 14326308*r - 547981281.
-(r + 153)**4
Let -3*f**2/4 + 9*f/2 - 15/4 = 0. What is f?
1, 5
Factor -