c - 1)*(c + 4)
Determine p, given that 4*p**4 - 60*p**3 - 216*p**2 - 16*p + 288 = 0.
-2, 1, 18
Factor -5*h**2/2 - 235*h.
-5*h*(h + 94)/2
What is r in 2*r**4/3 + 14*r**3/9 - 8*r/9 = 0?
-2, -1, 0, 2/3
Suppose -5*f**4 - 35*f**3 - 80*f**2 - 60*f = 0. What is f?
-3, -2, 0
Find g, given that -107*g**3 + 216*g**2 - 111*g + 2 = 0.
2/107, 1
Suppose -u**3/6 + 1087*u**2/6 + 2177*u/6 + 363/2 = 0. Calculate u.
-1, 1089
Find b, given that 5*b**2 + 920*b + 42320 = 0.
-92
Find i such that -2*i**2/3 + 12*i + 38/3 = 0.
-1, 19
Find r such that -3*r**4 - 194*r**3 + 464*r**2 - 334*r + 67 = 0.
-67, 1/3, 1
What is c in -c**5/3 - 31*c**4 + 190*c**3/3 = 0?
-95, 0, 2
Factor 2*t**3/3 - 18*t**2 - 38*t - 58/3.
2*(t - 29)*(t + 1)**2/3
Factor -2*f**5/17 + 622*f**4/17 + 1878*f**3/17 + 1882*f**2/17 + 628*f/17.
-2*f*(f - 314)*(f + 1)**3/17
Factor -4*o**3 + 1368*o**2 - 118320*o + 231200.
-4*(o - 170)**2*(o - 2)
Solve -4*r**4/7 - 88*r**3/7 + 204*r**2/7 + 288*r/7 = 0.
-24, -1, 0, 3
Factor -5*h**2 - 1580*h - 3140.
-5*(h + 2)*(h + 314)
Suppose 2*d**3/5 - 76*d**2/5 + 792*d/5 - 1296/5 = 0. Calculate d.
2, 18
Solve 3*s**5 - 6*s**4 + 6*s**2 - 3*s = 0 for s.
-1, 0, 1
Determine l, given that l**5/3 - 19*l**4/3 - 22*l**3/3 + 40*l**2/3 = 0.
-2, 0, 1, 20
Find o, given that 2*o**3/5 - 26*o/5 - 24/5 = 0.
-3, -1, 4
Determine g so that -2*g**5 - 22*g**4 - 84*g**3 - 128*g**2 - 64*g = 0.
-4, -2, -1, 0
Factor -3*d**3 + 213*d**2 + 660*d + 444.
-3*(d - 74)*(d + 1)*(d + 2)
Factor 4*v**3 + 52*v**2 + 92*v + 44.
4*(v + 1)**2*(v + 11)
Factor -2*u**3 + 734*u**2 + 1474*u + 738.
-2*(u - 369)*(u + 1)**2
Factor 4*c**2 - 308*c.
4*c*(c - 77)
Suppose 3*g**3/5 + 57*g**2/5 + 297*g/5 + 243/5 = 0. What is g?
-9, -1
Let -4*c**4 + 832*c**3 - 44088*c**2 + 85696*c - 42436 = 0. Calculate c.
1, 103
Factor -2*j**4 - 16*j**3 + 30*j**2 + 108*j.
-2*j*(j - 3)*(j + 2)*(j + 9)
Suppose -2*l**5 + 6*l**3 + 4*l**2 = 0. What is l?
-1, 0, 2
Factor -3*z**2 + 1059*z + 1062.
-3*(z - 354)*(z + 1)
Factor w**2/2 + 81*w + 477/2.
(w + 3)*(w + 159)/2
Factor u**2/3 + 2*u - 160/3.
(u - 10)*(u + 16)/3
What is j in 2*j**3/13 - 6*j**2/13 - 360*j/13 = 0?
-12, 0, 15
Factor 3*t**2/2 + 18*t + 54.
3*(t + 6)**2/2
Factor -2*g**2/3 - 16*g/3 + 6.
-2*(g - 1)*(g + 9)/3
Determine b, given that -b**5/4 + 3*b**3/4 - b**2/2 = 0.
-2, 0, 1
Factor b**2/2 - 15*b/2 + 25.
(b - 10)*(b - 5)/2
Determine u so that -u**4/8 + u**3/8 + 7*u**2/8 - 13*u/8 + 3/4 = 0.
-3, 1, 2
Suppose 2*z**4/7 + 24*z**3/7 + 58*z**2/7 + 36*z/7 = 0. Calculate z.
-9, -2, -1, 0
Factor 3*s**3 - 240*s**2.
3*s**2*(s - 80)
Determine a, given that -5*a**4 - 50*a**3 - 85*a**2 - 40*a = 0.
-8, -1, 0
Solve -3*y**4 + 84*y**3 + 90*y**2 - 84*y - 87 = 0.
-1, 1, 29
Determine g, given that -2*g**4/13 - 22*g**3/13 - 48*g**2/13 = 0.
-8, -3, 0
What is a in -3*a**4/5 + 51*a**3/5 - 3*a**2/5 - 1719*a/5 - 702 = 0?
-3, 10, 13
Determine i so that 2*i**2 - 812*i + 82418 = 0.
203
Determine d, given that -2*d**5/3 + 2*d**4/3 + 10*d**3 - 2*d**2/3 - 76*d/3 - 16 = 0.
-3, -1, 2, 4
Solve -10*v**4 - 148*v**3 - 112*v**2 = 0.
-14, -4/5, 0
Let 2*j**5/11 + 74*j**4/11 + 620*j**3/11 + 1176*j**2/11 - 1872*j/11 = 0. What is j?
-26, -6, 0, 1
Factor 4*d**5 + 4*d**4 - 12*d**3 - 4*d**2 + 8*d.
4*d*(d - 1)**2*(d + 1)*(d + 2)
Find n such that -2*n**2/19 + 546*n/19 - 544/19 = 0.
1, 272
Factor -x**5/5 + 18*x**4/5 - 61*x**3/5 - 36*x**2 - 20*x.
-x*(x - 10)**2*(x + 1)**2/5
Suppose -2*s**5/13 - 142*s**4/13 + 146*s**3/13 + 142*s**2/13 - 144*s/13 = 0. What is s?
-72, -1, 0, 1
Factor p**2/4 + 103*p/2 + 10609/4.
(p + 103)**2/4
Suppose -3*y**4/2 + 11*y**3/2 - 3*y**2 = 0. What is y?
0, 2/3, 3
Factor -6*v**4 - 27*v**3 - 12*v**2.
-3*v**2*(v + 4)*(2*v + 1)
Determine j so that 5*j**2 + 60*j - 65 = 0.
-13, 1
Find j such that 8*j**5 - 148*j**4 + 848*j**3 - 1252*j**2 - 1360*j + 896 = 0.
-1, 1/2, 4, 7, 8
Determine j so that 3*j**5/2 + 63*j**4 + 1599*j**3/2 + 2538*j**2 - 3402*j = 0.
-18, -7, 0, 1
Determine l so that -22*l**3/3 - 64*l**2/3 + 8*l/3 + 32 = 0.
-2, 12/11
Determine v, given that v**2/8 - 3*v/8 - 5/4 = 0.
-2, 5
Suppose 27*r**3 + 56*r**2 + 31*r + 2 = 0. Calculate r.
-1, -2/27
What is z in z**5 - 2*z**4 - 3*z**3 + 4*z**2 + 4*z = 0?
-1, 0, 2
Find g such that -2*g**3 + 26*g**2 + 28*g = 0.
-1, 0, 14
Factor 25*a**4 - 130*a**3 + 109*a**2 + 156*a + 36.
(a - 3)**2*(5*a + 2)**2
Let 6*q**2 + 482*q + 160 = 0. What is q?
-80, -1/3
Find o, given that 4*o**3 + 944*o**2 + 5520*o = 0.
-230, -6, 0
Factor 2*j**3/15 - 18*j**2/5 + 66*j/5 + 378/5.
2*(j - 21)*(j - 9)*(j + 3)/15
Factor 5*h**2 + 75*h - 1080.
5*(h - 9)*(h + 24)
Factor -z**3 - 13*z**2 - 54*z - 72.
-(z + 3)*(z + 4)*(z + 6)
Factor -c**3/3 - 2*c**2 - 8*c/3.
-c*(c + 2)*(c + 4)/3
Let -5*q**3/2 - 1115*q**2/3 - 41810*q/3 - 27380/3 = 0. Calculate q.
-74, -2/3
What is m in -3*m**2 - 12*m + 36 = 0?
-6, 2
Factor 2*t**2/7 - 522*t/7 + 148.
2*(t - 259)*(t - 2)/7
Solve -260*z**3 - 15*z**2 + 20*z = 0.
-4/13, 0, 1/4
Suppose -3*f**3 + 42*f**2 + 12*f - 168 = 0. Calculate f.
-2, 2, 14
Factor -3*l**5 - 22*l**4 - 32*l**3 + 32*l**2.
-l**2*(l + 4)**2*(3*l - 2)
Find j such that j**2/9 + 157*j/3 + 470/9 = 0.
-470, -1
Find h such that 5*h**3/2 - 215*h**2 - 1325*h/2 - 445 = 0.
-2, -1, 89
Factor 9*n**5/2 + 48*n**4 + 146*n**3 + 24*n**2 - 288*n + 128.
(n + 4)**3*(3*n - 2)**2/2
Factor -4*w**3 - 28*w**2.
-4*w**2*(w + 7)
Factor v**3/7 - 400*v**2/7.
v**2*(v - 400)/7
Factor 8*m**3/3 + 334*m**2/3 + 244*m/3 - 82/3.
2*(m + 1)*(m + 41)*(4*m - 1)/3
Factor l**2/4 - 15*l/4.
l*(l - 15)/4
Suppose -2*h**2/7 - 1998*h/7 - 1996/7 = 0. Calculate h.
-998, -1
Find o, given that -o**4/3 - 5*o**3/3 - 8*o**2/3 - 4*o/3 = 0.
-2, -1, 0
Let -5*z**5 + 225*z**4 - 2955*z**3 + 12835*z**2 - 5040*z - 21060 = 0. Calculate z.
-1, 2, 9, 26
Factor 3*q**2 + 1656*q + 3300.
3*(q + 2)*(q + 550)
Solve -2*z**2/7 + 5170*z/7 = 0.
0, 2585
Suppose -5*i**3 - 1140*i**2 - 86640*i - 2194880 = 0. What is i?
-76
Determine v so that -3*v**2/2 + 3375*v - 3796875/2 = 0.
1125
Find l such that -2*l**3 - 110*l**2 - 672*l = 0.
-48, -7, 0
Factor -3*o**2 + 48*o - 165.
-3*(o - 11)*(o - 5)
Suppose 2*x**4 - 20*x**3 + 66*x**2 - 80*x + 32 = 0. What is x?
1, 4
Factor 1155625*k**2/3 - 2150*k/3 + 1/3.
(1075*k - 1)**2/3
Solve -5*r**2/6 - 1255*r/3 - 2500/3 = 0.
-500, -2
Factor -2*d**5/7 + 8*d**4/7 - 6*d**3/7.
-2*d**3*(d - 3)*(d - 1)/7
Factor -o**2/6 - 7*o/2 - 9.
-(o + 3)*(o + 18)/6
Factor 5*z**2 + 85*z - 840.
5*(z - 7)*(z + 24)
Factor -2*c**2/5 - 72*c/5.
-2*c*(c + 36)/5
Determine j so that -2*j**3 - 72*j**2 - 138*j - 68 = 0.
-34, -1
Factor -3*a**2/4 - 3*a/2 + 45/4.
-3*(a - 3)*(a + 5)/4
Solve 3*t**3/5 + 99*t**2/5 + 756*t/5 = 0 for t.
-21, -12, 0
Find p, given that -36*p**4/7 + 8124*p**3/7 - 5380*p**2/7 - 644*p + 1800/7 = 0.
-2/3, 1/3, 1, 225
Factor 25*c**3 + 80*c**2 - 76*c + 16.
(c + 4)*(5*c - 2)**2
Let 4*o**3/5 + 88*o**2 - 908*o/5 - 1344/5 = 0. What is o?
-112, -1, 3
Let l**4/3 + 32*l**3/3 + 128*l**2 + 2048*l/3 + 4096/3 = 0. What is l?
-8
Suppose -2*h**5/3 + 8*h**4 - 20*h**3/3 - 8*h**2 + 22*h/3 = 0. What is h?
-1, 0, 1, 11
Find l, given that 2*l**3/9 + 6*l**2 - 242*l/9 + 62/3 = 0.
-31, 1, 3
Factor o**4 + 7*o**3 - 39*o**2 - 63*o + 270.
(o - 3)**2*(o + 3)*(o + 10)
Let u**4 + 21*u**3 + 123*u**2 + 155*u - 300 = 0. Calculate u.
-12, -5, 1
Solve 2*t**3 + 90*t**2 - 2*t - 90 = 0 for t.
-45, -1, 1
Factor -2*w**2 - 196*w - 4802.
-2*(w + 49)**2
Factor v**5 + 2*v**4 - 4*v**3 - 8*v**2.
v**2*(v - 2)*(v + 2)**2
Let -2*v**4/3 + 10*v**3/3 + 10*v**2/3 - 30*v + 24 = 0. Calculate v.
-3, 1, 3, 4
Let 2*d**4 + 14*d**3 + 30*d**2 + 18*d = 0. What is d?
-3, -1, 0
Suppose -5*a**5 + 210*a**4 + 545*a**3 - 4710*a**2 + 3960*a = 0. What is a?
-6, 0, 1, 3, 44
Let h**4 - 2*h**3 - 1260*h**2 - 23128*h - 120736 = 0. What is h?
-14, 44
Factor -2*t**4 - 94*t**3 - 88*t**2 + 184*t.
-2*t*(t - 1)*(t + 2)*(t + 46)
Factor 3*b**3 + 21*b**2 - 24*b.
3*b*(b - 1)*(b + 8)
Solve 4*u**2 + 1108*u + 7560 = 0.
-270, -7
Let -10*u**2 - 44*u - 16 = 0. Calculate u.
-4, -2/5
Determine k so that -k**3/9 - 5*k**2/3 - 16*k/3 + 64/9 = 0.
-8, 1
Determine c, given that -300*c**5 + 180*c**4 + 1593*c**3 + 1554*c**2 + 441*c = 0.
-1, -7/10, 0, 3
Solve -d**4/4 - d**3/2 + 7*d**2/4 - d = 0.
-4, 0, 1
Solve -2*v**3/7 - 1074*v**2/7 - 306*v - 1070/7 = 0 for v.
-535, -1
Factor -4*h**4 - 24*h**3 + 252*h**2 - 432*h.
-4*h*(h - 3)**2*(h + 12)
Factor 54*a**3 - 1158*a**2 + 1520*a/3 - 56.
2*(a - 21)