5*p + 10.
5*(p - 1)*(p + 1)**2*(9*p - 2)
Solve t**2/4 - 11*t/4 + 7 = 0 for t.
4, 7
Factor 2*k**2/23 + 108*k/23 + 208/23.
2*(k + 2)*(k + 52)/23
Factor -g**2 + 25*g + 1250.
-(g - 50)*(g + 25)
Determine w so that -5*w**3 - 130*w**2 - 700*w + 1960 = 0.
-14, 2
Factor -j**2 - 72*j + 73.
-(j - 1)*(j + 73)
Let 4*i**3 - 200*i**2 + 3108*i - 14112 = 0. What is i?
8, 21
What is u in 2*u**5 + 50*u**4 + 388*u**3 + 760*u**2 - 1200*u = 0?
-10, -6, 0, 1
Solve 3*o**2/5 - 81*o/5 = 0 for o.
0, 27
Find y, given that 3*y**4/2 + 3*y**3 - 39*y**2/2 - 57*y - 36 = 0.
-3, -2, -1, 4
Suppose -2*j**4/7 + 4*j**3/7 + 26*j**2/7 - 76*j/7 + 48/7 = 0. What is j?
-4, 1, 2, 3
Suppose -w**5/4 + w**4/4 + 3*w**3/4 - w**2/4 - w/2 = 0. Calculate w.
-1, 0, 1, 2
Find u such that -2*u**4/3 - 10*u**3/3 + 26*u**2/3 - 14*u/3 = 0.
-7, 0, 1
Factor -5*j**2 - 50*j + 55.
-5*(j - 1)*(j + 11)
Determine f, given that -f**3/4 + 17*f**2/4 + 9*f/2 = 0.
-1, 0, 18
Factor o**3/3 - 124*o**2/3 - 84*o.
o*(o - 126)*(o + 2)/3
Let i**4/8 + 7*i**3/8 - 19*i**2/8 - 103*i/8 + 105/4 = 0. What is i?
-7, -5, 2, 3
Let 50*h**5/3 - 5*h**4/3 - 110*h**3/3 + 35*h**2/3 + 10*h = 0. What is h?
-3/2, -2/5, 0, 1
Suppose 2*m**5/7 - 2*m**4 + 18*m**3/7 + 54*m**2/7 - 108*m/7 = 0. Calculate m.
-2, 0, 3
Determine d so that 4*d**2/3 + 772*d + 4616/3 = 0.
-577, -2
Find s such that 2*s**2/3 - 118*s - 356/3 = 0.
-1, 178
Find p, given that -3*p**2 - 384*p - 12288 = 0.
-64
Let -2*o**2/9 + 56*o/9 + 58/9 = 0. Calculate o.
-1, 29
Let 5*k**2 + 495*k - 1010 = 0. What is k?
-101, 2
Factor -w**3 - 144*w**2 - 555*w + 700.
-(w - 1)*(w + 5)*(w + 140)
Let -5*p**3 - 2*p**2 + 80*p + 32 = 0. Calculate p.
-4, -2/5, 4
Factor 2*c**2 + 24*c.
2*c*(c + 12)
Find w, given that -2*w**3 + 12*w**2 + 30*w + 16 = 0.
-1, 8
Factor -8*c**3 + 342*c**2 - 253*c + 42.
-(c - 42)*(2*c - 1)*(4*c - 1)
Let -n**3/2 + 12*n**2 - 95*n/2 = 0. Calculate n.
0, 5, 19
Factor -f**5 + 138*f**4 - 5481*f**3 + 47628*f**2.
-f**2*(f - 63)**2*(f - 12)
Suppose 5*h**5 + 1825*h**4 + 3630*h**3 - 10*h**2 - 3635*h - 1815 = 0. What is h?
-363, -1, 1
Factor 3*s**3/4 - 3*s**2/2 - 15*s - 18.
3*(s - 6)*(s + 2)**2/4
Factor n**3 + 62*n**2.
n**2*(n + 62)
Suppose -3*o**3/8 - 249*o**2/4 - 2520*o + 5292 = 0. Calculate o.
-84, 2
Factor -g**4/3 - 11*g**3/3 - 4*g**2/3 + 20*g.
-g*(g - 2)*(g + 3)*(g + 10)/3
Suppose -2*x**5 - 16*x**4 - 18*x**3 + 76*x**2 + 80*x = 0. Calculate x.
-5, -4, -1, 0, 2
Factor -m**3/7 + 3*m**2/7 + 6*m/7 - 8/7.
-(m - 4)*(m - 1)*(m + 2)/7
Factor -5*m**4 - 2110*m**3 - 205085*m**2 + 3696720*m - 15347520.
-5*(m - 8)**2*(m + 219)**2
Factor -4*a**4 - 16*a**3 + 20*a**2.
-4*a**2*(a - 1)*(a + 5)
Find s such that 3*s**5 + 63*s**4 + 105*s**3 - 183*s**2 - 216*s + 228 = 0.
-19, -2, 1
Find u, given that 5*u**4 - 5*u**3 - 10*u**2 = 0.
-1, 0, 2
Suppose 2*t**4/11 - 8*t**3/11 + 6*t**2/11 + 8*t/11 - 8/11 = 0. Calculate t.
-1, 1, 2
Factor -r**2/6 - 73*r/3.
-r*(r + 146)/6
Factor 2*v**3 + 132*v**2 - 1010*v + 876.
2*(v - 6)*(v - 1)*(v + 73)
What is b in -2*b**4 - 1336*b**3 - 334668*b**2 - 37259704*b - 1555592642 = 0?
-167
Factor 2*x**5 - 24*x**4 + 96*x**3 - 164*x**2 + 126*x - 36.
2*(x - 6)*(x - 3)*(x - 1)**3
Factor g**3 + 10*g**2 + 9*g.
g*(g + 1)*(g + 9)
Factor 2*c**3/5 - 242*c**2/5 + 232*c.
2*c*(c - 116)*(c - 5)/5
Factor 55*b**2 + 700*b - 980.
5*(b + 14)*(11*b - 14)
Solve w**2/4 - 828*w + 3311/4 = 0.
1, 3311
Factor x**3 - 46*x**2 - 4*x + 184.
(x - 46)*(x - 2)*(x + 2)
Factor -5*n**3 + 20*n**2 + 125*n - 140.
-5*(n - 7)*(n - 1)*(n + 4)
Factor -3*a**2 - 11193*a.
-3*a*(a + 3731)
Suppose -450*l**4 + 290*l**3 + 434*l**2/3 + 134*l/9 + 4/9 = 0. What is l?
-2/9, -1/15, 1
Find v, given that v**3/8 + v**2 + 13*v/8 + 3/4 = 0.
-6, -1
Factor -4*s**2/7 + 20*s/7 + 144/7.
-4*(s - 9)*(s + 4)/7
What is b in 2*b**5/5 - 2*b**4/5 - 132*b**3/5 + 496*b**2/5 + 64*b - 2304/5 = 0?
-9, -2, 4
Find n such that 2*n**5/5 - 42*n**4/5 + 142*n**3/5 - 102*n**2/5 = 0.
0, 1, 3, 17
Solve z**5 - 5*z**4 + 40*z**2 - 80*z + 48 = 0.
-3, 2
Factor -2*h**5/7 + 2*h**4/7 + 10*h**3/7 - 2*h**2/7 - 16*h/7 - 8/7.
-2*(h - 2)**2*(h + 1)**3/7
Factor 4*g**5/7 - 16*g**4/7 + 12*g**3/7.
4*g**3*(g - 3)*(g - 1)/7
Find c such that 4*c**2 + 88*c + 484 = 0.
-11
Factor -5*o**5 + 80*o**4 + 180*o**3.
-5*o**3*(o - 18)*(o + 2)
Factor n**3/2 - 111*n**2 + 8214*n - 202612.
(n - 74)**3/2
Let -2*t**3/9 + 32*t**2/9 - 170*t/9 + 100/3 = 0. What is t?
5, 6
Factor -2*c**2 - 134*c - 132.
-2*(c + 1)*(c + 66)
Suppose -4*y**4 - 52*y**3 - 132*y**2 - 124*y - 40 = 0. What is y?
-10, -1
Factor 2*w**3/3 + 30*w**2 + 378*w + 882.
2*(w + 3)*(w + 21)**2/3
Factor w**3/5 + 84*w**2 + 11760*w + 548800.
(w + 140)**3/5
Factor 12*r**4 + 75*r**3 - 66*r**2 - 21*r.
3*r*(r - 1)*(r + 7)*(4*r + 1)
Let 2*t**2 + 90*t + 172 = 0. What is t?
-43, -2
Let 2*p**4/5 + 62*p**3/5 + 366*p**2/5 - 2006*p/5 - 2312/5 = 0. Calculate p.
-17, -1, 4
Determine c so that -2116*c**5/7 - 24012*c**4/7 + 17232*c**3/7 + 8128*c**2/7 + 768*c/7 = 0.
-12, -4/23, 0, 1
Let -4*m**3 + 376*m**2 - 8836*m = 0. Calculate m.
0, 47
Let -3*k**3 + 1449*k**2 - 233289*k + 12519843 = 0. Calculate k.
161
Factor -3*d**3 + 1032*d**2 - 2055*d + 1026.
-3*(d - 342)*(d - 1)**2
What is j in 9*j**5/2 - 22*j**4 - 13*j**3/2 + 20*j**2 = 0?
-1, 0, 8/9, 5
Find p such that -6*p**4/5 + 22*p**3/5 - 12*p**2/5 = 0.
0, 2/3, 3
Suppose 5*w**3 - 1065*w**2 - 5480*w + 6540 = 0. Calculate w.
-6, 1, 218
Factor 2*x**2/3 - 428*x/3 + 142.
2*(x - 213)*(x - 1)/3
Determine v so that 5*v**2 + 1130*v + 63845 = 0.
-113
Factor 3*c**3/2 + 945*c**2/2 + 1872*c + 1866.
3*(c + 2)**2*(c + 311)/2
Solve 3*a**3/4 - 3*a**2/2 - 57*a/4 + 15 = 0 for a.
-4, 1, 5
Suppose 2*r**3/9 + 14*r**2/9 + 22*r/9 + 10/9 = 0. Calculate r.
-5, -1
Factor -4*c**2 + 464*c + 468.
-4*(c - 117)*(c + 1)
Let -78*g**2 - 64*g - 8 = 0. Calculate g.
-2/3, -2/13
Factor 5*g**4/2 - 420*g**3 + 26140*g**2 - 714000*g + 7225000.
5*(g - 50)**2*(g - 34)**2/2
Solve w**5 - 3*w**4 - 13*w**3 + 51*w**2 - 36*w = 0 for w.
-4, 0, 1, 3
Factor 6*s**2/11 + 36*s/11 + 30/11.
6*(s + 1)*(s + 5)/11
Factor -3*w**4 + 509*w**3 - 21503*w**2 - 7565*w + 14450.
-(w - 85)**2*(w + 1)*(3*w - 2)
Determine h, given that -5*h**5 - 110*h**4 - 200*h**3 + 10*h**2 + 205*h + 100 = 0.
-20, -1, 1
Suppose 2*i**5/7 - 50*i**4/7 + 124*i**3/7 + 176*i**2/7 = 0. Calculate i.
-1, 0, 4, 22
Suppose -n**4/4 - 9*n**3/2 - 97*n**2/4 - 36*n - 16 = 0. Calculate n.
-8, -1
Solve -3*x**2/2 + 1983*x - 1310763/2 = 0 for x.
661
Let 3*u**2/7 + 20028*u/7 + 33426732/7 = 0. Calculate u.
-3338
Factor 3*c**2/5 - 162*c/5 + 159/5.
3*(c - 53)*(c - 1)/5
Factor -9*r**5 - 12*r**4 + 3*r**3 + 6*r**2.
-3*r**2*(r + 1)**2*(3*r - 2)
Factor -3*o**4 + 93*o**3/2 - 108*o**2 - 1215*o/2.
-3*o*(o - 9)**2*(2*o + 5)/2
Factor -3*l**4/5 + 231*l**3/5 - 912*l**2 + 4332*l/5.
-3*l*(l - 38)**2*(l - 1)/5
Factor -55*t**2/2 + 31*t/2 - 2.
-(5*t - 1)*(11*t - 4)/2
Factor -2*y**4/9 - 1210*y**3/9 - 80794*y**2/3 - 15741838*y/9 + 66923416/9.
-2*(y - 4)*(y + 203)**3/9
Find n such that 2*n**5 + 10*n**4 - 8*n**3 - 88*n**2 - 96*n = 0.
-4, -2, 0, 3
What is c in -c**4/5 + 12*c**3/5 + 43*c**2/5 + 6*c = 0?
-2, -1, 0, 15
Find d, given that 3*d**2 + 123*d - 258 = 0.
-43, 2
Factor 5*p**3 - 230*p**2 - 2080*p - 4320.
5*(p - 54)*(p + 4)**2
What is m in -4*m**5/3 + 56*m**4/3 + 124*m**3/3 + 64*m**2/3 = 0?
-1, 0, 16
Let -5*r**5/2 - 15*r**4/2 + 5*r**3/2 + 35*r**2/2 - 10 = 0. Calculate r.
-2, -1, 1
Factor -a**4/2 + 3*a**3/2 + 6*a**2 - 26*a + 24.
-(a - 3)*(a - 2)**2*(a + 4)/2
Factor 3*j**2/5 + 34*j/5 + 11/5.
(j + 11)*(3*j + 1)/5
Factor c**2/8 - 123*c/8 + 121/4.
(c - 121)*(c - 2)/8
Find c, given that 2*c**3/5 - 58*c**2/5 + 108*c/5 = 0.
0, 2, 27
Factor 3*m**2 - 186*m + 183.
3*(m - 61)*(m - 1)
Factor -4*u**2/7 - 4*u/7 + 104.
-4*(u - 13)*(u + 14)/7
Factor -w**3 - 2022*w**2 - 1024140*w - 2040200.
-(w + 2)*(w + 1010)**2
Determine r so that 2*r**5/3 + 50*r**4/9 - 58*r**3/3 + 38*r**2/9 + 56*r/3 - 88/9 = 0.
-11, -1, 2/3, 1, 2
Suppose -2*f**4/9 + 56*f**3/3 - 166*f**2/9 = 0. Calculate f.
0, 1, 83
Factor 4*w**5 - 116*w**4 + 216*w**3 + 8*w**2 - 220*w + 108.
4*(w - 27)*(w - 1)**3*(w + 1)
Suppose 3*f**3 + 174*f**2 + 2139*f - 11532 = 0. What is f?
-31, 4
Let c**4/5 + 18*c**3/5 - 19*c**2/5 = 0. Calculate c.
-19, 0, 1
Find z such that 2*z**4/19 + 62*z**3/19 - 318*z**2/19 - 1358*z/19 - 980/19 = 0.
-35, -2, -1, 7
What is t in 2*t**3/3 - 22*t**2 + 210*t - 450 = 0?
3, 15
Factor i**4 - 8*i