. Calculate d.
-9, 0, 1/2, 4
Determine g, given that -2*g**3/7 + 146*g**2/7 - 20*g - 288/7 = 0.
-1, 2, 72
Factor -5*c**4 - 60*c**3 - 270*c**2 - 540*c - 405.
-5*(c + 3)**4
Determine l, given that -3*l**4/2 - 27*l**3 - 141*l**2/2 - 45*l = 0.
-15, -2, -1, 0
What is i in 3*i**5/2 - 27*i**4 + 129*i**3 - 78*i**2 - 261*i/2 + 105 = 0?
-1, 1, 7, 10
Suppose 2*r**3/3 - 2822*r**2 + 3981842*r - 5618379062/3 = 0. What is r?
1411
Factor 2*c**2/5 - 162*c/5 + 1656/5.
2*(c - 69)*(c - 12)/5
Find a such that -2*a**3/9 + 32*a**2/3 + 242*a + 2080/9 = 0.
-16, -1, 65
Suppose -5*r**4 + 5*r**3 + 120*r**2 + 180*r = 0. Calculate r.
-3, -2, 0, 6
Factor 4*u**3 + 8*u**2 - 480*u - 2304.
4*(u - 12)*(u + 6)*(u + 8)
Find y, given that y**4/11 - y**3/11 - 15*y**2/11 + 9*y/11 + 54/11 = 0.
-3, -2, 3
Suppose 4*y**3 + 1164*y**2 + 84096*y - 85264 = 0. What is y?
-146, 1
Solve 27*f**5/2 - 3*f**4 - 108*f**3 + 24*f**2 + 216*f - 48 = 0 for f.
-2, 2/9, 2
Factor x**4/5 + 334*x**3/5 + 26869*x**2/5 - 34068*x + 52020.
(x - 3)**2*(x + 170)**2/5
Suppose t**4 - 4*t**3 + 2*t**2 + 4*t - 3 = 0. What is t?
-1, 1, 3
Factor -2*j**2/9 - 2444*j/9 - 4880/9.
-2*(j + 2)*(j + 1220)/9
Factor 5*a**2 - 110*a.
5*a*(a - 22)
Find i, given that -i**3/8 - 31*i**2/8 - 3*i + 45/2 = 0.
-30, -3, 2
Factor d**4/3 + 10*d**3/3 + 7*d**2/3 - 6*d.
d*(d - 1)*(d + 2)*(d + 9)/3
Solve -2*d**2/7 + 10*d/7 + 12/7 = 0.
-1, 6
Factor -5*a**2/3 + 745*a/3 - 490.
-5*(a - 147)*(a - 2)/3
Solve -q**5 + 5*q**4 - 3*q**3 - 17*q**2 + 28*q - 12 = 0 for q.
-2, 1, 2, 3
Find q, given that 3*q**5/4 - 69*q**4/4 + 63*q**3/2 = 0.
0, 2, 21
Suppose 2*c**3/9 - 46*c**2/9 - 2*c/9 + 46/9 = 0. Calculate c.
-1, 1, 23
Factor r**2/4 - 7*r/2 + 13/4.
(r - 13)*(r - 1)/4
Suppose 3*u**5 - 42*u**4 - 54*u**3 + 132*u**2 + 51*u - 90 = 0. What is u?
-2, -1, 1, 15
Factor -3*u**2/2 - 87*u/2 + 93.
-3*(u - 2)*(u + 31)/2
Factor g**3/3 + 565*g**2 + 239136*g - 719104/3.
(g - 1)*(g + 848)**2/3
Factor x**5/2 - 15*x**4 + 57*x**3/2 - 14*x**2.
x**2*(x - 28)*(x - 1)**2/2
Factor -2*h**2/21 + 972*h/7 - 354294/7.
-2*(h - 729)**2/21
Factor 2*v**2 + 62*v + 168.
2*(v + 3)*(v + 28)
Factor -31*f**3/3 - 29*f**2/3 + 2*f/3.
-f*(f + 1)*(31*f - 2)/3
Factor 2*w**2/11 + 8952*w/11 + 10017288/11.
2*(w + 2238)**2/11
Factor -t**4/2 - 27*t**3/2 - 97*t**2/2 - 117*t/2 - 23.
-(t + 1)**2*(t + 2)*(t + 23)/2
Let 5*x**2 + 5660*x + 1601780 = 0. What is x?
-566
Factor d**2 + 74*d + 1369.
(d + 37)**2
Determine g so that 3*g**3/4 - 75*g**2/4 + 114*g - 204 = 0.
4, 17
Factor 2*d**2 + 26216*d + 85909832.
2*(d + 6554)**2
Suppose -2*f**5/7 + 4*f**4/7 + 22*f**3/7 - 24*f**2/7 = 0. What is f?
-3, 0, 1, 4
Suppose 6*z**4 - 248*z**3 + 1986*z**2 - 1912*z - 2232 = 0. What is z?
-2/3, 2, 9, 31
Find q such that 10*q**5 - 85*q**4 + 30*q**3 + 685*q**2 + 260*q - 300 = 0.
-2, -1, 1/2, 5, 6
Solve 4*j**4 + 4*j**3/5 - 12*j**2 + 28*j/5 + 8/5 = 0.
-2, -1/5, 1
Solve -2*z**5 + 54*z**4 - 52*z**3 = 0.
0, 1, 26
Factor m**3/2 - 9*m**2/2 - 60*m + 550.
(m - 10)**2*(m + 11)/2
Factor -2*k**4 + 6*k**2 + 4*k.
-2*k*(k - 2)*(k + 1)**2
Let 2*x**4 - 152*x**3 - 310*x**2 - 156*x = 0. Calculate x.
-1, 0, 78
Factor -4*c**3 + 40*c**2 - 36*c.
-4*c*(c - 9)*(c - 1)
Find j, given that -2*j**3/9 - 164*j**2/9 - 1222*j/3 - 1352 = 0.
-39, -4
Find v such that -48*v**4/5 - 24*v**3 + 501*v**2/5 - 468*v/5 + 27 = 0.
-5, 3/4, 1
Determine b so that -2*b**3/7 - 74*b**2/7 - 720*b/7 - 648/7 = 0.
-18, -1
Find j, given that 4*j**3 - 48*j**2 + 144*j = 0.
0, 6
Determine y, given that -y**3 + 12*y**2 + 13*y = 0.
-1, 0, 13
Determine t so that -3*t**2/5 - 63*t/5 - 12 = 0.
-20, -1
Let -3*y**5/4 - 109*y**4/4 - 889*y**3/4 - 963*y**2/4 + 80*y + 125 = 0. What is y?
-25, -10, -1, 2/3
Factor 5*t**3 + 35*t**2 - 5*t - 35.
5*(t - 1)*(t + 1)*(t + 7)
Suppose 18*a**5 - 714*a**4 + 6950*a**3 + 2802*a**2 - 4080*a + 800 = 0. What is a?
-1, 1/3, 20
Factor h**5/4 - 939*h**4/2 + 293907*h**3 - 61328594*h**2.
h**2*(h - 626)**3/4
Suppose 4*n**3 + 56*n**2 + 84*n - 144 = 0. What is n?
-12, -3, 1
Solve -2*a**5/15 + 28*a**4/5 + 2126*a**3/15 + 136*a**2 = 0.
-17, -1, 0, 60
Factor b**3/3 - 10*b**2 + 75*b.
b*(b - 15)**2/3
Find o such that -82*o**4/5 - 12*o**3/5 + 246*o**2/5 + 40*o + 24/5 = 0.
-1, -6/41, 2
Determine z so that 6*z**5 - 76*z**4 - 120*z**3 + 112*z**2 = 0.
-2, 0, 2/3, 14
Factor -x**4/2 + x**3/2 + 6*x**2.
-x**2*(x - 4)*(x + 3)/2
Suppose 2*a**3/3 + 1480*a**2/3 + 273800*a/3 = 0. Calculate a.
-370, 0
Solve 100*d**3 + 2140*d**2 - 8676*d + 8100 = 0.
-25, 9/5
Find t, given that -5*t**4/4 - 10*t**3 - 105*t**2/4 - 55*t/2 - 10 = 0.
-4, -2, -1
What is m in -35*m**4 + 865*m**3 - 3355*m**2 - 20665*m - 5610 = 0?
-3, -2/7, 11, 17
Factor -4*u**2 - 60*u + 64.
-4*(u - 1)*(u + 16)
Find q such that 5*q**4/2 + 3*q**3/2 - 6*q**2 + 2*q = 0.
-2, 0, 2/5, 1
Factor 2*r**4/13 - 40*r**3/13 + 74*r**2/13 - 36*r/13.
2*r*(r - 18)*(r - 1)**2/13
Factor -3*a**2/2 - 1392*a - 322944.
-3*(a + 464)**2/2
Find c such that 2*c**4/3 - 50*c**3/9 + 58*c**2/9 - 14*c/9 = 0.
0, 1/3, 1, 7
Determine z so that 3*z**2 + 342*z + 339 = 0.
-113, -1
Determine x, given that -x**3 - 85*x**2 + 728*x - 1488 = 0.
-93, 4
Factor 2*z**3 - 22*z**2 + 52*z - 32.
2*(z - 8)*(z - 2)*(z - 1)
Let 46*a**5 - 126*a**4 + 56*a**3 + 24*a**2 = 0. Calculate a.
-6/23, 0, 1, 2
Factor -5*k**2 + 60*k - 100.
-5*(k - 10)*(k - 2)
Factor 2*j**2/9 - 6*j - 116/9.
2*(j - 29)*(j + 2)/9
Let 4*c**4 + 24*c**3 - 108*c**2 = 0. What is c?
-9, 0, 3
Let 4*l**3 - 72*l**2 - 76*l = 0. Calculate l.
-1, 0, 19
What is h in -4*h**4 + 8*h**3 + 12*h**2 = 0?
-1, 0, 3
Find a such that 4*a**3 - 220*a**2 + 4000*a - 24000 = 0.
15, 20
Factor l**3 + 23*l**2 - 24*l.
l*(l - 1)*(l + 24)
Factor -3*l**3 + 9*l**2 + 12*l.
-3*l*(l - 4)*(l + 1)
Factor -c**4 - 54*c**3/7 + 16*c**2/7.
-c**2*(c + 8)*(7*c - 2)/7
Factor -h**5 + 8*h**4/3 - 2*h**3 + h/3.
-h*(h - 1)**3*(3*h + 1)/3
Factor 4*j**3/5 - 40*j**2 + 2688*j/5 - 4608/5.
4*(j - 24)**2*(j - 2)/5
Determine h, given that 5*h**3 + 450*h**2 + 11340*h + 52920 = 0.
-42, -6
Factor 3*c**2/4 - 393*c + 51483.
3*(c - 262)**2/4
Factor 2*a**4/7 + 5316*a**3/7 + 3532482*a**2/7.
2*a**2*(a + 1329)**2/7
Factor -2*n**2/9 - 620*n/9.
-2*n*(n + 310)/9
Solve 3*a**4 - 378*a**3 + 15807*a**2 - 245700*a + 1267500 = 0 for a.
13, 50
Factor 4*z**3 - 11472*z**2 + 8213940*z + 16473800.
4*(z - 1435)**2*(z + 2)
Solve -3*z**4/4 + 15*z**3/2 + 66*z**2 - 303*z/2 + 315/4 = 0 for z.
-7, 1, 15
Factor p**4/2 + 7*p**3/2 + 9*p**2 + 10*p + 4.
(p + 1)*(p + 2)**3/2
Factor 12*f**3 + 963*f**2 + 19440*f + 4800.
3*(f + 40)**2*(4*f + 1)
Solve 12*y**3/5 - 1066*y**2/5 - 1258*y/5 - 36 = 0 for y.
-1, -1/6, 90
Let -5*r**3 + 525*r**2 - 2040*r + 2020 = 0. Calculate r.
2, 101
Factor 2*j**3/3 - 12*j**2 - 26*j - 40/3.
2*(j - 20)*(j + 1)**2/3
What is r in -r**2/6 + 20*r/3 - 77/2 = 0?
7, 33
Solve y**4 - 5*y**3 + 3*y**2 + 5*y - 4 = 0.
-1, 1, 4
Factor -u**4/3 + 2*u**3 - 4*u**2 + 10*u/3 - 1.
-(u - 3)*(u - 1)**3/3
Let -264*x**2/5 + 3687*x/5 + 126/5 = 0. Calculate x.
-3/88, 14
Solve -5*u**5 + 40*u**4 - 90*u**3 + 20*u**2 + 95*u - 60 = 0 for u.
-1, 1, 3, 4
Suppose -p**2/5 - 6*p/5 = 0. Calculate p.
-6, 0
Factor -u**5 + 2*u**3 - u.
-u*(u - 1)**2*(u + 1)**2
Find f such that f**3/7 + 12*f**2/7 + 20*f/7 = 0.
-10, -2, 0
Let -l**5/3 - 23*l**4/3 + 34*l**3 - 158*l**2/3 + 107*l/3 - 9 = 0. What is l?
-27, 1
Determine u so that -3*u**5 + 54*u**3 + 96*u**2 + 45*u = 0.
-3, -1, 0, 5
Factor -60*s**2 - 416*s + 28.
-4*(s + 7)*(15*s - 1)
What is p in 5*p**3/3 + 35*p**2/3 - 200*p/3 - 500/3 = 0?
-10, -2, 5
Let -2*f**2/13 - 660*f/13 - 54450/13 = 0. What is f?
-165
Factor 2*a**3 + 718*a**2 - 2896*a + 2904.
2*(a - 2)**2*(a + 363)
Factor y**2/3 + 50*y/3 + 32.
(y + 2)*(y + 48)/3
Suppose 245*v**4 + 4480*v**3 - 3390*v**2 - 1240*v - 95 = 0. Calculate v.
-19, -1/7, 1
Solve -3*b**2 + 78*b + 168 = 0.
-2, 28
What is c in 5*c**2 + 1550*c - 6280 = 0?
-314, 4
Let 4*m**3 - 16992*m**2 - 4*m + 16992 = 0. What is m?
-1, 1, 4248
Factor -h**4 - 17*h**3 - 42*h**2 + 4*h + 56.
-(h - 1)*(h + 2)**2*(h + 14)
Determine m so that -m**4/2 + 9*m**3/2 - 4*m**2 = 0.
0, 1, 8
Solve -g**5 - 22*g**4 - 28*g**3 + 1176*g**2 = 0.
-14, 0, 6
Let 3*a**3/7 - 27*a**2/7 + 45*a/7 + 75/7 = 0. Calculate a.
-1, 5
Factor f**2 - 168*f - 513.
(f - 171)*(f + 3)
Factor -3*u**2/5 - 222*u/5 + 45.
-3*(u - 1)*(u + 75)/5
Suppose -21*m**5/4 - 309*m**4/4 - 1191*m**3/4 - 75*m**2/4 + 546*m - 147 = 0. What is m?
-7, -2, 2/7, 1
Fac