+ 20*p**3 + 15*p**2 - 50*p - 40.
-5*(p - 4)*(p - 2)*(p + 1)**2
Let -5*m**4 - 415*m**3 - 7450*m**2 + 51040*m + 58080 = 0. Calculate m.
-44, -1, 6
Let -4*p**2 - 888*p - 49284 = 0. Calculate p.
-111
Solve 4*r**5 + 132*r**4 + 1548*r**3 + 7292*r**2 + 8448*r - 17424 = 0.
-11, -6, 1
Solve 5*l**5 + 55*l**4 - 275*l**3 + 365*l**2 - 150*l = 0 for l.
-15, 0, 1, 2
Solve 3*c**5 - 2349*c**4 + 14025*c**3 - 30339*c**2 + 27984*c - 9324 = 0.
1, 2, 777
Factor -2*u**2/7 + 522*u/7 + 380.
-2*(u - 266)*(u + 5)/7
Find y such that y**3/4 - 479*y**2/4 + 14280*y + 14400 = 0.
-1, 240
Determine h so that -h**5 + h**4 + 15*h**3 - 9*h**2 - 54*h = 0.
-3, -2, 0, 3
Factor 5*t**2 + 25*t - 120.
5*(t - 3)*(t + 8)
Let 2*v**2 - 2*v - 12 = 0. Calculate v.
-2, 3
Factor -202*g**2/3 - 68*g - 2/3.
-2*(g + 1)*(101*g + 1)/3
Factor -k**4 + 44*k**3 - 213*k**2 - 562*k - 304.
-(k - 38)*(k - 8)*(k + 1)**2
Let 20*u**5/7 - 428*u**4/7 + 1628*u**3/7 - 332*u**2 + 1376*u/7 - 272/7 = 0. Calculate u.
2/5, 1, 2, 17
Solve -18*x**5 - 14604*x**4 + 24376*x**3 - 11380*x**2 + 1626*x = 0 for x.
-813, 0, 1/3, 1
Factor -f**4 - 144*f**3 - 143*f**2.
-f**2*(f + 1)*(f + 143)
Factor -2*f**3/9 - 86*f**2/9 - 1102*f/9 - 3610/9.
-2*(f + 5)*(f + 19)**2/9
Determine d so that d**3/3 - 13*d**2 - 124*d/3 - 28 = 0.
-2, -1, 42
Factor 3*t**3 - 9*t**2 - 3*t + 9.
3*(t - 3)*(t - 1)*(t + 1)
What is y in 5*y**2/2 - 1175*y/2 + 1165 = 0?
2, 233
Suppose 2*x**2 + 172*x - 534 = 0. Calculate x.
-89, 3
What is f in -24*f**4 - 5*f**3 + 17*f**2 - 2*f = 0?
-1, 0, 1/8, 2/3
Factor -15*p**3 - 186*p**2 - 237*p - 66.
-3*(p + 1)*(p + 11)*(5*p + 2)
Factor -3*w**3/4 - 3*w**2 + 21*w - 24.
-3*(w - 2)**2*(w + 8)/4
Suppose -2*d**3 - 164*d**2 + 336*d = 0. Calculate d.
-84, 0, 2
Find z, given that 5*z**5 + 150*z**4 - 515*z**3 - 600*z**2 + 1980*z = 0.
-33, -2, 0, 2, 3
Determine b, given that 2*b**2/9 + 4*b/9 - 2/3 = 0.
-3, 1
Suppose -2*d**3 - 19914*d**2 - 49560966*d + 49580882 = 0. Calculate d.
-4979, 1
Factor -48*k**4/5 - 24*k**3/5 + 69*k**2/5 + 18*k/5 - 27/5.
-3*(k + 1)**2*(4*k - 3)**2/5
What is j in -j**5/6 - 59*j**4/6 - 169*j**3/6 - 53*j**2/6 + 85*j/3 + 56/3 = 0?
-56, -2, -1, 1
Factor 3*o**3/2 - 3*o**2/2 - 15*o - 12.
3*(o - 4)*(o + 1)*(o + 2)/2
Factor a**3 + 6*a**2 - 25*a + 18.
(a - 2)*(a - 1)*(a + 9)
Factor -u**4/3 - 31*u**3/3 - 320*u**2/3 - 1100*u/3.
-u*(u + 10)**2*(u + 11)/3
Suppose t**4/6 - 3*t**3/2 + 14*t**2/3 - 6*t + 8/3 = 0. Calculate t.
1, 2, 4
What is l in 4*l**4/5 + 42*l**3/5 - 188*l**2/5 + 24*l + 112/5 = 0?
-14, -1/2, 2
Solve 5*s**3 - 155*s**2 + 1275*s - 1125 = 0 for s.
1, 15
Factor 2*y**4/3 - 16*y**3/3 - 52*y**2/3 + 112*y + 294.
2*(y - 7)**2*(y + 3)**2/3
Factor 3*z**2 + 57318*z + 273779427.
3*(z + 9553)**2
Let 2*n**5/11 - 28*n**3/11 - 24*n**2/11 + 26*n/11 + 24/11 = 0. Calculate n.
-3, -1, 1, 4
Find v, given that 2*v**3/17 + 86*v**2/17 + 320*v/17 + 312/17 = 0.
-39, -2
Suppose -n**3 + 451*n**2 + n - 451 = 0. What is n?
-1, 1, 451
Factor -5*d**4 + 25*d**3 + 230*d**2 + 200*d.
-5*d*(d - 10)*(d + 1)*(d + 4)
Find y, given that y**3 + 14*y**2 + 44*y + 40 = 0.
-10, -2
Factor -2*j**2/7 + 272*j/7 - 1310/7.
-2*(j - 131)*(j - 5)/7
Find k, given that 430*k**3 + 6885*k**2 - 7230*k - 85 = 0.
-17, -1/86, 1
Suppose n**4/3 + 5*n**3/3 + 2*n**2 = 0. Calculate n.
-3, -2, 0
Factor -4*g**3 - 4*g**2 + 4*g + 4.
-4*(g - 1)*(g + 1)**2
Factor 196*a**3 - 45024*a**2 + 76752*a - 32832.
4*(a - 228)*(7*a - 6)**2
Solve 18*q**3/7 + 3242*q**2/7 + 3582*q/7 + 358/7 = 0.
-179, -1, -1/9
What is r in -196*r**4/9 - 43540*r**3/3 - 2421133*r**2 - 1035630*r - 110889 = 0?
-333, -3/14
Factor -i**2/2 + 3*i + 7/2.
-(i - 7)*(i + 1)/2
Factor -3*v**4 - 21*v**3 + 9*v**2 + 165*v - 150.
-3*(v - 2)*(v - 1)*(v + 5)**2
Solve -3*d**2 + 888*d = 0 for d.
0, 296
Let 5*i**3 - 120*i**2 + 825*i - 1210 = 0. What is i?
2, 11
Suppose -z**5/3 - 59*z**4 + 180*z**3 = 0. Calculate z.
-180, 0, 3
Let 2*j**5/21 - 16*j**4/21 + 2*j**3 - 44*j**2/21 + 16*j/21 = 0. Calculate j.
0, 1, 2, 4
Suppose -2*g**4/7 - 30*g**3/7 - 26*g**2/7 + 30*g/7 + 4 = 0. Calculate g.
-14, -1, 1
Suppose 24*z**5/11 - 32*z**4/11 - 82*z**3/11 + 126*z**2/11 - 56*z/11 + 8/11 = 0. What is z?
-2, 1/3, 1/2, 2
Factor 15*a**4 - 100*a**3 + 195*a**2 - 90*a.
5*a*(a - 3)**2*(3*a - 2)
Let 32*y**4/7 + 256*y**3/7 + 510*y**2/7 - 16*y/7 - 32/7 = 0. What is y?
-4, -1/4, 1/4
Determine u, given that 82*u**3 - 2374*u**2 - 2576*u - 120 = 0.
-1, -2/41, 30
Factor -5*s**2 - 3200*s - 512000.
-5*(s + 320)**2
What is c in 2*c**3 + 12*c**2 + 18*c = 0?
-3, 0
Factor o**2 + 491*o.
o*(o + 491)
Suppose -2*f**2/3 + 8*f/3 = 0. What is f?
0, 4
Factor -2*c**4/3 - 4*c**3 - 8*c**2 - 16*c/3.
-2*c*(c + 2)**3/3
Let -r**3/3 - 17*r**2/3 - 70*r/3 = 0. What is r?
-10, -7, 0
Let 5*g**5 - 145*g**4 + 595*g**3 + 7225*g**2 = 0. What is g?
-5, 0, 17
Let -2*k**4/19 - 24*k**3/19 - 42*k**2/19 - 20*k/19 = 0. What is k?
-10, -1, 0
Factor -2*d**2/3 - 170*d/3 + 1236.
-2*(d - 18)*(d + 103)/3
Factor -n**2/7 - 22*n/7 - 121/7.
-(n + 11)**2/7
Let 24*y**4 - 81*y**3 + 27*y**2 = 0. What is y?
0, 3/8, 3
Find n such that -2*n**4 + 14*n**2 + 12*n = 0.
-2, -1, 0, 3
What is b in -4*b**4 + 56*b**3 - 48*b**2 - 56*b + 52 = 0?
-1, 1, 13
Let -3*b**3/4 + 81*b**2/4 + 324*b + 1053 = 0. Calculate b.
-6, 39
Factor -4*a**5 + 25*a**4 - 6*a**3 - 216*a**2 + 378*a - 81.
-(a - 3)**3*(a + 3)*(4*a - 1)
Solve -5*b**5 - 5*b**4 + 130*b**3 + 130*b**2 - 125*b - 125 = 0 for b.
-5, -1, 1, 5
Find f, given that -5*f**3 + 345*f**2/2 - 1170*f - 2695/2 = 0.
-1, 11, 49/2
Factor 4*m**3 - 956*m**2 - 2896*m - 1936.
4*(m - 242)*(m + 1)*(m + 2)
Factor -g**4/3 + 59*g**3/3 - 280*g**2 - 300*g.
-g*(g - 30)**2*(g + 1)/3
Determine r so that -r**3/7 - 180*r**2/7 - 8277*r/7 - 15842/7 = 0.
-89, -2
Factor 4*j**2 + 64*j - 68.
4*(j - 1)*(j + 17)
Solve u**3 + 7632*u**2 + 19415808*u + 16464605184 = 0.
-2544
Solve 2*i**2 + 10*i + 8 = 0.
-4, -1
Factor -3*r**2/4 + 45*r/4 - 39/2.
-3*(r - 13)*(r - 2)/4
Determine x, given that -2*x**2 - 16*x = 0.
-8, 0
Factor 9*o**5 + 462*o**4 + 5772*o**3 - 4056*o**2.
3*o**2*(o + 26)**2*(3*o - 2)
Suppose m**2/6 + m/2 - 44/3 = 0. What is m?
-11, 8
Suppose 5*s**3 - 10*s**2 - 320*s + 640 = 0. Calculate s.
-8, 2, 8
Solve -f**3/3 + f**2 + 4*f/3 = 0.
-1, 0, 4
Solve -m**2/5 + 68*m/5 - 1156/5 = 0 for m.
34
Factor -2*y**2/3 - 172*y - 11094.
-2*(y + 129)**2/3
Factor 125*p**4 + 25*p**3 - 1380*p**2 - 2560*p - 1280.
5*(p - 4)*(p + 1)*(5*p + 8)**2
Find v, given that 2*v**2/23 + 2152*v/23 + 578888/23 = 0.
-538
Determine o, given that o**3/3 - 8*o**2/3 + 20*o/3 - 16/3 = 0.
2, 4
Suppose 9522*y**4/7 - 3772*y**3/7 + 440*y**2/7 - 16*y/7 = 0. Calculate y.
0, 2/23, 2/9
Factor -55*j**3 - 835*j**2 + 730*j + 160.
-5*(j - 1)*(j + 16)*(11*j + 2)
Factor j**4/4 + 35*j**3/4 - 193*j**2/4 + 277*j/4 - 30.
(j - 3)*(j - 1)**2*(j + 40)/4
Suppose 24*i**3 - 1314*i**2/5 + 1161*i/5 - 42 = 0. What is i?
1/4, 7/10, 10
Factor -q**2/4 - 17*q/4.
-q*(q + 17)/4
Find o, given that -15*o**2/2 - 9685*o/2 - 3225 = 0.
-645, -2/3
Determine h, given that -36*h**4/7 - 270*h**3/7 - 338*h**2/7 - 80*h/7 + 24/7 = 0.
-6, -1, -2/3, 1/6
Factor 40*c**3 - 131*c**2 + 31*c + 6.
(c - 3)*(5*c - 2)*(8*c + 1)
Factor 2*p**5 - 6*p**4 + 6*p**3 - 2*p**2.
2*p**2*(p - 1)**3
Suppose j**5/5 + 3*j**4/5 - 22*j**3/5 - 52*j**2/5 + 72*j/5 + 32 = 0. What is j?
-5, -2, 2, 4
Factor 3*a**3/4 + 639*a**2/2 - 2592*a + 5208.
3*(a - 4)**2*(a + 434)/4
Factor 3*x**3 - 21*x**2 - 90*x.
3*x*(x - 10)*(x + 3)
Find t such that -4*t**4/7 - 40*t**3 - 6336*t**2/7 - 41472*t/7 + 110592/7 = 0.
-24, 2
Determine j, given that -3*j**5/7 + 57*j**4/7 - 300*j**3/7 + 396*j**2/7 = 0.
0, 2, 6, 11
Factor -2*t**3/7 + 1014*t**2/7 - 129030*t/7 + 128018/7.
-2*(t - 253)**2*(t - 1)/7
Solve -2*a**2 - 6*a + 140 = 0 for a.
-10, 7
Factor 44*x**3/9 - 14*x**2/3 - 2*x/9.
2*x*(x - 1)*(22*x + 1)/9
Factor -v**2/2 + 9*v.
-v*(v - 18)/2
Suppose 3*f**4/7 + 54*f**3/7 + 153*f**2/7 - 30*f = 0. What is f?
-14, -5, 0, 1
Let -h**3/4 + 8*h**2 + 369*h/4 = 0. Calculate h.
-9, 0, 41
Factor q**3/3 + 62*q**2 + 2883*q.
q*(q + 93)**2/3
Solve 28*v**4 + 288*v**3 + 528*v**2 + 128*v = 0 for v.
-8, -2, -2/7, 0
Determine m, given that -2025*m**2/2 + 3735*m - 6889/2 = 0.
83/45
Factor -3*t**2/2 + 1035*t/4 - 129.
-3*(t - 172)*(2*t - 1)/4
Factor -k**4/5 + 7*k**3/5 - 2*k**2.
-k**2*(k - 5)*(k - 2)/5
Solve -98*q**4 + 938*q**3 - 512*q**2 + 72*q = 0 for q.
0, 2/7, 9
Solve x**5/2 - 9*x**4/2 - 11*x**