r -2*l**2/5 + 4*l/5 - 2/5.
-2*(l - 1)**2/5
Determine n so that n**4/4 + 3*n**3 + 21*n**2/4 - 41*n/2 + 12 = 0.
-8, -6, 1
Find t such that 4*t**3 - 32*t**2 - 636*t - 1512 = 0.
-7, -3, 18
Let -28*g**3 - 2568*g**2 - 24212*g + 7128 = 0. Calculate g.
-81, -11, 2/7
Find k such that k**5 - 3*k**4 + 4*k**2 = 0.
-1, 0, 2
Factor 2*o**2/9 + 34*o/9 - 4.
2*(o - 1)*(o + 18)/9
Factor 23*c**2 - 167*c/7 + 6/7.
(c - 1)*(161*c - 6)/7
Suppose -2*c**5 - 194*c**4 + 1440*c**3 - 1696*c**2 - 3328*c = 0. Calculate c.
-104, -1, 0, 4
Factor 3*t**2/7 - 264*t - 1851/7.
3*(t - 617)*(t + 1)/7
Find o, given that -2*o**3/7 - 152*o**2/7 + 632*o/7 - 640/7 = 0.
-80, 2
Factor 3*u**4 - 51*u**3 + 45*u**2 + 51*u - 48.
3*(u - 16)*(u - 1)**2*(u + 1)
Determine s so that 2*s**5 - 18*s**4 + 30*s**3 + 50*s**2 - 72*s - 72 = 0.
-1, 2, 3, 6
Factor -27*l**3/4 - 603*l**2/4 + 411*l/4 - 69/4.
-3*(l + 23)*(3*l - 1)**2/4
Factor -2*y**2 - 2898*y + 2900.
-2*(y - 1)*(y + 1450)
Find c, given that 3*c**4 + 24*c**3 + 6*c**2 - 240*c - 225 = 0.
-5, -1, 3
Determine d, given that -5*d**3 + 545*d**2 + 5*d - 545 = 0.
-1, 1, 109
Factor -4*b**2/5 - 18456*b/5 - 21288996/5.
-4*(b + 2307)**2/5
Find g such that 2*g**2 - 30*g + 52 = 0.
2, 13
Suppose -14*v**5 - 1264*v**4 - 27422*v**3 + 50228*v**2 - 13064*v - 8464 = 0. Calculate v.
-46, -2/7, 1
What is j in 5*j**2/4 + 15*j + 45 = 0?
-6
Solve -4*z**2 + 112*z - 784 = 0.
14
Factor -5*x**2 + 880*x - 14220.
-5*(x - 158)*(x - 18)
Factor x**5/7 - 109*x**4/7 + 1195*x**3/7 + 92529*x**2/7 + 1024488*x/7 + 3370896/7.
(x - 68)**2*(x + 9)**3/7
Find r such that -r**4 + 4*r**3 = 0.
0, 4
What is l in -l**4 - 23*l**3 - 81*l**2 - 97*l - 38 = 0?
-19, -2, -1
Solve 4*s**5 - 164*s**4 + 1148*s**3 + 164*s**2 - 1152*s = 0 for s.
-1, 0, 1, 9, 32
Factor 4*k**3/7 - 144*k**2/7 + 1296*k/7.
4*k*(k - 18)**2/7
Determine f so that 126*f**5/13 + 1616*f**4/13 + 5758*f**3/13 + 3428*f**2/13 - 984*f/13 - 144/13 = 0.
-6, -1, -1/9, 2/7
Factor 3*a**3 - 81*a**2 + 78*a.
3*a*(a - 26)*(a - 1)
Suppose -4*p**3 - 140*p**2 = 0. Calculate p.
-35, 0
Solve a**4 + 46*a**3 + 303*a**2 - 46*a - 304 = 0 for a.
-38, -8, -1, 1
What is j in 5*j**4 - 5*j**3 - 5*j**2 + 5*j = 0?
-1, 0, 1
Let -4*h**2/3 - 368*h/3 - 364/3 = 0. What is h?
-91, -1
Solve -b**2/5 + 802*b/5 - 320 = 0 for b.
2, 800
Suppose -3*i**2/8 - 177*i/8 + 183/4 = 0. Calculate i.
-61, 2
What is a in -5*a**2 - 350*a - 345 = 0?
-69, -1
Solve -2*q**4/9 + 838*q**3/9 - 38920*q**2/3 + 5370400*q/9 + 5488000/9 = 0 for q.
-1, 140
Find a, given that -2*a**4/7 + 6*a**3/7 + 50*a**2/7 + 6*a = 0.
-3, -1, 0, 7
Let y**4/9 + 6*y**3 + 728*y**2/9 - 6*y - 81 = 0. What is y?
-27, -1, 1
Find q such that -20*q**3/7 - 12*q**2/7 + 8*q/7 = 0.
-1, 0, 2/5
Factor -5*i**2 - 1530*i + 1535.
-5*(i - 1)*(i + 307)
What is y in 4*y**4 + 4*y**3 - 28*y**2 - 52*y - 24 = 0?
-2, -1, 3
Determine q, given that 3*q**5 - 21*q**4 + 27*q**3 + 21*q**2 - 30*q = 0.
-1, 0, 1, 2, 5
Factor y**2/5 - 6*y - 31/5.
(y - 31)*(y + 1)/5
Factor 20*g**3 + 18312*g**2 + 4187952*g - 1678112.
4*(g + 458)**2*(5*g - 2)
Solve 2*p**3/11 + 26*p**2/11 + 10*p + 150/11 = 0.
-5, -3
Determine z, given that z**5/4 - 3*z**4/2 + 11*z**3/4 - 3*z**2/2 = 0.
0, 1, 2, 3
Factor -2*x**2/7 + 10*x + 148/7.
-2*(x - 37)*(x + 2)/7
Solve -5*v**3 - 230*v**2 - 655*v - 430 = 0.
-43, -2, -1
Factor 2*n**3/3 + 4*n**2 + 6*n + 8/3.
2*(n + 1)**2*(n + 4)/3
Find f such that 64*f**5 + 224*f**4 - 4508*f**3 + 8972*f**2 + 5344*f + 704 = 0.
-11, -1/4, 4
Suppose 2*p**5/5 - 6*p**4 + 66*p**3/5 + 94*p**2/5 - 276*p/5 + 144/5 = 0. Calculate p.
-2, 1, 3, 12
Factor -4*s**3/3 - 4*s**2 - 4*s - 4/3.
-4*(s + 1)**3/3
Factor v**2 - 354*v/5 - 71/5.
(v - 71)*(5*v + 1)/5
Factor -2*z**4 - 48*z**3 - 368*z**2 - 960*z - 800.
-2*(z + 2)**2*(z + 10)**2
Suppose 4*m**5 + 52*m**4 + 132*m**3 + 124*m**2 + 40*m = 0. What is m?
-10, -1, 0
Factor 3*r**3 + 12*r**2 - 111*r - 120.
3*(r - 5)*(r + 1)*(r + 8)
Factor 12*i**5 + 1476*i**4 + 2920*i**3 + 17456*i**2/9 + 3872*i/9.
4*i*(i + 121)*(3*i + 2)**3/9
Find g such that g**5 + g**4 - 2*g**3 - 2*g**2 + g + 1 = 0.
-1, 1
Determine w, given that 5*w**2 + 20*w - 60 = 0.
-6, 2
Solve -2*w**4/7 - 10*w**3/7 - 12*w**2/7 + 8*w/7 + 16/7 = 0.
-2, 1
Suppose -p**5/3 + p**4 + 11*p**3/3 - 17*p**2 + 62*p/3 - 8 = 0. Calculate p.
-4, 1, 2, 3
Factor -2*n**4 + 6280*n**3 - 7394700*n**2 + 3869893000*n - 759466501250.
-2*(n - 785)**4
Solve 4*n**3/7 + 92*n**2/7 - 96*n/7 = 0 for n.
-24, 0, 1
Factor -p**3/2 - 141*p**2/2.
-p**2*(p + 141)/2
Factor -3*i**4/2 + 636*i**3 - 101124*i**2 + 7146096*i - 189371544.
-3*(i - 106)**4/2
Factor 5*z**5 + 160*z**4 - 165*z**3.
5*z**3*(z - 1)*(z + 33)
Suppose 3*q**3/8 + 15*q**2/2 - 69*q/8 - 63/4 = 0. What is q?
-21, -1, 2
What is s in -3*s**5 + 23*s**4 - 31*s**3/3 - 27*s**2 + 8*s + 28/3 = 0?
-2/3, 1, 7
Factor h**4/3 + 8476*h**3/3 + 5989706*h**2 + 35912812*h/3 + 17952169/3.
(h + 1)**2*(h + 4237)**2/3
Find u such that -5*u**5/8 - 3*u**4/2 - 9*u**3/8 - u**2/4 = 0.
-1, -2/5, 0
Determine c, given that -2*c**5 + 2*c**4 + 10*c**3 - 2*c**2 - 16*c - 8 = 0.
-1, 2
Factor -36*j**3 - 28*j**2 + 8*j.
-4*j*(j + 1)*(9*j - 2)
Determine v, given that 2*v**3 - 88*v**2 + 86*v = 0.
0, 1, 43
Determine r, given that -r**4/6 - 29*r**3/6 + r**2/6 + 29*r/6 = 0.
-29, -1, 0, 1
Let x**3 - 21*x**2 + 147*x - 343 = 0. What is x?
7
Solve 44*d**3 - 2462*d**2/7 + 4912*d/7 + 32/7 = 0 for d.
-1/154, 4
Solve 4*f**4/3 + 44*f**3/3 - 16*f**2 - 1024*f/3 + 1024/3 = 0 for f.
-8, 1, 4
Factor n**3/3 - 20*n**2/3 - 16*n/3 + 320/3.
(n - 20)*(n - 4)*(n + 4)/3
Determine s so that 2*s**2/11 + 96*s/11 + 760/11 = 0.
-38, -10
Factor -4*n**3 + 148*n**2 - 284*n + 140.
-4*(n - 35)*(n - 1)**2
Determine u, given that -20*u**5 + 125*u**4 - 210*u**3 + 45*u**2 = 0.
0, 1/4, 3
Determine f so that -2*f**2/3 + 38*f/3 - 12 = 0.
1, 18
Factor -i**3 + 2598*i**2 - 2249868*i + 649461896.
-(i - 866)**3
Factor -5*j**2 + 325*j - 1220.
-5*(j - 61)*(j - 4)
Suppose 3*t**4/5 - 84*t**3/5 - 117*t**2/5 + 894*t/5 - 696/5 = 0. What is t?
-4, 1, 2, 29
Factor -2*q**2/13 + 7232*q/13 - 6537728/13.
-2*(q - 1808)**2/13
Factor -3*m**2/7 - 51*m/7.
-3*m*(m + 17)/7
Determine b, given that -2*b**2 - 634*b + 1276 = 0.
-319, 2
Let 2*n**2/5 - 126*n/5 + 1764/5 = 0. What is n?
21, 42
Factor -3*b**2 + 522*b - 1539.
-3*(b - 171)*(b - 3)
Let -m**5 + 3*m**4 + 2*m**3 - 6*m**2 - m + 3 = 0. What is m?
-1, 1, 3
Solve g**2/4 + 57*g/4 = 0 for g.
-57, 0
Factor 4*i**4/9 + 680*i**3/9 - 688*i**2/3 + 2072*i/9 - 692/9.
4*(i - 1)**3*(i + 173)/9
Find c, given that -4*c**2 - 484*c = 0.
-121, 0
Solve 4*f**5 - 364*f**4 + 6892*f**3 + 64028*f**2 + 83104*f - 153664 = 0 for f.
-4, 1, 49
Factor -2*g**3/9 + 2*g**2 + 2*g/9 - 2.
-2*(g - 9)*(g - 1)*(g + 1)/9
Factor 11*a**4/4 - 21*a**3/2 + 25*a**2/4 + 3*a/2.
a*(a - 3)*(a - 1)*(11*a + 2)/4
Factor 11*t**4 + 178*t**3 + 527*t**2 - 1692*t - 324.
(t - 2)*(t + 9)**2*(11*t + 2)
Determine n so that -n**2 - 58*n - 112 = 0.
-56, -2
Suppose 2*n**4/7 - 32*n**3/7 - 4*n**2/7 + 1056*n/7 + 2178/7 = 0. Calculate n.
-3, 11
Factor -l**2 - 36*l - 68.
-(l + 2)*(l + 34)
Determine z so that 4*z**3 - 36*z**2 + 32*z + 240 = 0.
-2, 5, 6
Let i**3/2 + 19*i**2/2 + 13*i - 68 = 0. What is i?
-17, -4, 2
Factor y**2/4 - 697*y/2.
y*(y - 1394)/4
Factor 5*l**4 + 65*l**3 + 20*l**2 - 540*l - 720.
5*(l - 3)*(l + 2)**2*(l + 12)
Determine a, given that -72*a**5/7 + 46*a**4 + 148*a**3/7 - 1272*a**2/7 + 80*a - 64/7 = 0.
-2, 2/9, 1/4, 2, 4
Suppose 3*z**4 - 123*z**3 + 1062*z**2 + 4092*z + 2904 = 0. Calculate z.
-2, -1, 22
Solve -3*k**3/2 - 33*k**2/2 - 15*k = 0.
-10, -1, 0
Let -4*z**2/7 + 304*z/7 - 5776/7 = 0. Calculate z.
38
Factor 9*j**3 - 3*j**2 - 6*j.
3*j*(j - 1)*(3*j + 2)
Factor -3*t**4 - 6*t**3 + 3*t**2 + 6*t.
-3*t*(t - 1)*(t + 1)*(t + 2)
Let 6*z**3/11 + 30*z**2/11 + 42*z/11 + 18/11 = 0. What is z?
-3, -1
Determine m so that m**5/7 - 5*m**4/7 - 2*m**3/7 + 10*m**2/7 + m/7 - 5/7 = 0.
-1, 1, 5
Factor 5*b**3 + 3060*b**2 + 468180*b.
5*b*(b + 306)**2
Factor 5*c**4 + 185*c**3 - 215*c**2 - 965*c - 570.
5*(c - 3)*(c + 1)**2*(c + 38)
Factor 2*n**2/9 - 7712*n/9 + 7434368/9.
2*(n - 1928)**2/9
Solve 2*a**2/9 + 8*a/9 - 10 = 0 for a.
-9, 5
Factor 4*u**4/3 - 4*u**3/3 - 52*u**2/3 + 100*u/3 - 16.
4*(u - 3)*(u - 1)**2*(u + 4)/3
Solve -2*t**5/3 + 44*t**4/3 - 202*t**3/3 + 160*t**2/3 = 0 for t.
0, 1, 5, 16
Factor 2*p**2/3 - 68*p/3 - 70/3.
2*(p - 35)*(p + 1)/3
Solve j**2/5 + 98*j/5 + 57 = 0 for j.
-9