
-2*p*(p - 5)*(p - 1)*(p + 4)
Find f such that -2*f**2/5 + 4*f/5 = 0.
0, 2
Solve -m**5 + 47*m**4 - 268*m**3 - 656*m**2 + 7360*m - 12800 = 0 for m.
-5, 4, 40
Factor -g**2/5 + 23*g/5 + 518/5.
-(g - 37)*(g + 14)/5
Determine w so that 3*w**3 + 141*w**2 + 765*w + 1107 = 0.
-41, -3
Determine f, given that 21*f**4 - 78*f**3 - 45*f**2 + 78*f + 24 = 0.
-1, -2/7, 1, 4
Find s, given that s**2/5 - 48*s/5 + 576/5 = 0.
24
What is c in 2*c**3 - 608*c**2 + 46810*c - 91204 = 0?
2, 151
Factor -2*x**2/5 - 92*x/5 - 1058/5.
-2*(x + 23)**2/5
Find g such that -2*g**5/11 - 24*g**4/11 + 56*g**3/11 - 4*g**2/11 - 54*g/11 + 28/11 = 0.
-14, -1, 1
Solve -4*m**5 + 536*m**4 + 1644*m**3 = 0.
-3, 0, 137
Factor -2*y**4/9 + 2*y**3/9 + 2*y**2 + 22*y/9 + 8/9.
-2*(y - 4)*(y + 1)**3/9
Solve -4*f**4 - 456*f**3/7 - 1920*f**2/7 - 512*f/7 = 0 for f.
-8, -2/7, 0
Factor 3*a**3/2 + 129*a**2.
3*a**2*(a + 86)/2
Factor 2*o**4 - 32*o**3 - 44*o**2 + 176*o - 102.
2*(o - 17)*(o - 1)**2*(o + 3)
Factor 2*j**2/3 - 6*j + 28/3.
2*(j - 7)*(j - 2)/3
Determine f, given that 15*f**3/2 + 399*f**2/2 + 2769*f/2 + 1521/2 = 0.
-13, -3/5
Let -3*r**3 + 33*r**2 - 105*r + 75 = 0. Calculate r.
1, 5
Factor -242*t**2/9 + 44*t - 18.
-2*(11*t - 9)**2/9
Suppose n**5/4 + 13*n**4 - 2*n**3 - 104*n**2 + 4*n + 208 = 0. Calculate n.
-52, -2, 2
Factor 5*y**3 - 25*y**2 - 5*y + 25.
5*(y - 5)*(y - 1)*(y + 1)
Solve r**4/2 + 11*r**3/2 + 19*r**2 + 20*r = 0.
-5, -4, -2, 0
Factor -53*i**2/3 + 41*i/3 + 4.
-(i - 1)*(53*i + 12)/3
Factor p**4 + 11*p**3/7 + p**2/7 - 3*p/7.
p*(p + 1)**2*(7*p - 3)/7
Determine d so that d**4/7 - 17*d**2/7 - 36*d/7 - 20/7 = 0.
-2, -1, 5
Let 2*i**5 - 76*i**4 + 860*i**3 - 2656*i**2 + 3026*i - 1156 = 0. What is i?
1, 2, 17
Factor 3*z**3/2 + 591*z**2.
3*z**2*(z + 394)/2
Suppose 3*x**4 + 66*x**3 - 72*x**2 - 66*x + 69 = 0. What is x?
-23, -1, 1
Factor 2*g**2 - 44*g - 1680.
2*(g - 42)*(g + 20)
Factor a**2/2 + 7*a/2 + 6.
(a + 3)*(a + 4)/2
Solve -4*j**3/5 + 54*j**2/5 - 146*j/5 + 12 = 0.
1/2, 3, 10
Factor 12*n**4 + 219*n**3 + 258*n**2 + 51*n.
3*n*(n + 1)*(n + 17)*(4*n + 1)
Factor -324*y**4 - 11376*y**3 - 94672*y**2 + 91008*y - 20736.
-4*(y + 18)**2*(9*y - 4)**2
Let g**2/3 + 2*g - 9 = 0. Calculate g.
-9, 3
Find i, given that -2*i**4/3 + 46*i**3/3 + 58*i**2/3 - 82*i + 48 = 0.
-3, 1, 24
Determine v, given that 4*v**5 - 43*v**4 + 17*v**3 + 595*v**2 + 147*v = 0.
-3, -1/4, 0, 7
Factor v**4/2 + v**3 - 2*v**2 - v + 3/2.
(v - 1)**2*(v + 1)*(v + 3)/2
Determine m, given that -27*m**3/2 + 84*m**2 - 171*m/2 + 15 = 0.
2/9, 1, 5
Let -19*s**3 - 16*s**2 + 3*s = 0. What is s?
-1, 0, 3/19
Factor 4*b**3/3 + 36*b**2 - 472*b + 2368/3.
4*(b - 8)*(b - 2)*(b + 37)/3
Find b such that -2*b**3 - 468*b**2 - 26418*b + 113288 = 0.
-119, 4
Factor 54*t**3 - 436*t**2 + 896*t - 64.
2*(t - 4)**2*(27*t - 2)
Let -2*o**2/5 - 4*o - 10 = 0. Calculate o.
-5
Factor -2*c**2 + 404*c - 800.
-2*(c - 200)*(c - 2)
Let 322*x**5/3 - 3032*x**4/3 + 3794*x**3/3 - 1180*x**2/3 + 32*x = 0. Calculate x.
0, 3/23, 2/7, 1, 8
What is o in -o**5 + 7*o**4 + 3*o**3 - 23*o**2 + 14*o = 0?
-2, 0, 1, 7
Let -5*k**3/6 - 185*k**2/6 = 0. What is k?
-37, 0
Factor n**4/5 + 13*n**3/5 - n**2/5 - 13*n/5.
n*(n - 1)*(n + 1)*(n + 13)/5
Factor 3*z**5 - 28*z**4 + 47*z**3 - 22*z**2.
z**2*(z - 1)**2*(3*z - 22)
Find d, given that 4*d**5 - 112*d**4/5 - 68*d**3/5 + 112*d**2/5 + 48*d/5 = 0.
-1, -2/5, 0, 1, 6
Suppose 3*p**2 + 4404*p + 1616268 = 0. Calculate p.
-734
Factor n**5/3 + 2*n**4/3 - n**3/3 - 2*n**2/3.
n**2*(n - 1)*(n + 1)*(n + 2)/3
Factor 2*d**2 - 280*d - 1450.
2*(d - 145)*(d + 5)
Factor -2*s**4/5 - 86*s**3/5 - 1222*s**2/5 - 5746*s/5.
-2*s*(s + 13)**2*(s + 17)/5
Factor -2*p**3/7 + 86*p**2/7 - 116*p.
-2*p*(p - 29)*(p - 14)/7
Factor -4*r**4/5 + 8*r**3 + 60*r**2.
-4*r**2*(r - 15)*(r + 5)/5
Factor -2*u**2/17 - 92*u/17 + 94/17.
-2*(u - 1)*(u + 47)/17
Factor -20*x**2 + 215*x - 315.
-5*(x - 9)*(4*x - 7)
Factor 8*n**3 - 460*n**2 - 1192*n - 480.
4*(n - 60)*(n + 2)*(2*n + 1)
Factor 2*c**4/3 - 2*c**3 - 2*c**2 + 14*c/3 + 4.
2*(c - 3)*(c - 2)*(c + 1)**2/3
Let -n**2 - 687*n = 0. What is n?
-687, 0
Let 3*z**2/7 + 30*z/7 - 72/7 = 0. What is z?
-12, 2
Factor g**5/6 - g**4/6 - 7*g**3/3 - 13*g**2/3 - 19*g/6 - 5/6.
(g - 5)*(g + 1)**4/6
Find f, given that -4*f**2 - 48*f = 0.
-12, 0
Factor -q**3/3 - 113*q**2 - 9853*q - 139445/3.
-(q + 5)*(q + 167)**2/3
Let g**2/2 + 51*g/2 - 53 = 0. What is g?
-53, 2
Factor q**2 + 24*q + 80.
(q + 4)*(q + 20)
Factor 6*j**3/13 - 28*j**2/13 + 14*j/13 + 8/13.
2*(j - 4)*(j - 1)*(3*j + 1)/13
Factor y**2 - 68*y + 67.
(y - 67)*(y - 1)
Solve d**5/4 + 117*d**4/4 + 2221*d**3/2 + 12460*d**2 - 45600*d + 32000 = 0.
-40, 1, 2
Determine o so that 3*o**2 - 246*o - 504 = 0.
-2, 84
Factor -4*c**3 - 92*c**2 + 96*c.
-4*c*(c - 1)*(c + 24)
Factor 2*h**2 - 190*h - 792.
2*(h - 99)*(h + 4)
Solve -4*q**2/5 - 11224*q/5 - 7873636/5 = 0 for q.
-1403
Let -4*b**4 + 132*b**3 + 1620*b**2 + 4300*b = 0. Calculate b.
-5, 0, 43
Determine d, given that -6*d**4 + 57*d**3 - 189*d**2 + 243*d - 81 = 0.
1/2, 3
Find r, given that -2*r**2 + 172*r - 3698 = 0.
43
Factor -3*v**2 - 8166*v - 5556963.
-3*(v + 1361)**2
Factor s**5 - 4*s**4 - 105*s**3 + 108*s**2.
s**2*(s - 12)*(s - 1)*(s + 9)
Solve 2*i**4/5 + 4*i**3 - 14*i**2/5 - 128*i/5 + 24 = 0.
-10, -3, 1, 2
Factor 5*u**2/2 + 21*u/4 + 1/2.
(u + 2)*(10*u + 1)/4
Let 2*t**4/9 + 3376*t**3/9 - 3380*t**2/3 + 10144*t/9 - 3382/9 = 0. Calculate t.
-1691, 1
Solve w**2/2 + 33*w/2 + 108 = 0 for w.
-24, -9
Solve 10*h**2/11 + 1827*h/11 - 549/11 = 0.
-183, 3/10
Factor 3*q**3 - 504*q**2 + 21663*q - 41334.
3*(q - 83)**2*(q - 2)
What is j in j**3/2 - 31*j**2 + 825*j/2 + 2178 = 0?
-4, 33
Determine j so that 4*j**5 + 12*j**4 - 564*j**3 - 1148*j**2 + 20160*j + 20736 = 0.
-9, -1, 8
Factor -10*i**2 + 74*i - 28.
-2*(i - 7)*(5*i - 2)
Solve -w**2 + 22*w = 0 for w.
0, 22
Solve 5*x**5 - 20*x**4 + 15*x**3 = 0.
0, 1, 3
Factor -2*d**4/3 - 266*d**3/3 - 3870*d**2 - 52650*d + 121500.
-2*(d - 2)*(d + 45)**3/3
Determine b, given that 14*b**3 - 1886*b**2 - 8324*b - 2224 = 0.
-4, -2/7, 139
Determine d, given that -3*d**5/5 - d**4/5 + 36*d**3/5 - 36*d**2/5 - 16*d/5 = 0.
-4, -1/3, 0, 2
Factor 16*r**3/7 - 132*r**2/7 + 32*r/7.
4*r*(r - 8)*(4*r - 1)/7
Find c, given that -5*c**5 + 35*c**4 - 30*c**3 - 110*c**2 + 35*c + 75 = 0.
-1, 1, 3, 5
Find w, given that 2*w**3 - 134*w + 252 = 0.
-9, 2, 7
Factor -u**3/6 + 24*u**2 - 280*u/3.
-u*(u - 140)*(u - 4)/6
Solve 2*o**2/3 - 122*o/3 - 128 = 0 for o.
-3, 64
Factor c**2/2 + 14*c + 90.
(c + 10)*(c + 18)/2
Suppose 35*m**4 - 155*m**3 - 30*m**2 + 320*m + 160 = 0. What is m?
-1, -4/7, 2, 4
Solve l**4/7 - 4364*l**3/7 + 7141686*l**2/7 - 5194386284*l/7 + 1416768858961/7 = 0 for l.
1091
Determine t, given that 45*t**2/4 - 4190*t + 1860 = 0.
4/9, 372
Factor 3*p**3 + 9*p**2 + 6*p.
3*p*(p + 1)*(p + 2)
Factor 2*q**2/11 + 80*q/11 - 82/11.
2*(q - 1)*(q + 41)/11
Factor 5*m**4 - 130*m**3 + 885*m**2 - 2120*m + 1360.
5*(m - 17)*(m - 4)**2*(m - 1)
Factor -2*m**2/7 + 1396*m/7 - 243602/7.
-2*(m - 349)**2/7
Suppose 8*f**5 + 516*f**4 + 232*f**3 - 1532*f**2 + 264*f + 512 = 0. What is f?
-64, -2, -1/2, 1
Factor -2*a**2/5 - 4*a/5 + 126/5.
-2*(a - 7)*(a + 9)/5
Find q, given that 2*q**3 + 884*q**2 + 97682*q = 0.
-221, 0
Let -8*x**5/11 + 2*x**4 - 10*x**3/11 - 4*x**2/11 = 0. Calculate x.
-1/4, 0, 1, 2
Factor 5*f**2 + 6110*f + 1866605.
5*(f + 611)**2
Determine q, given that -20*q**5/3 - 314*q**4 - 10660*q**3/3 + 3392*q**2 - 768*q = 0.
-24, 0, 2/5, 1/2
Factor 4*u**2 - 1904*u + 3792.
4*(u - 474)*(u - 2)
Let -3*l**5/4 - 51*l**4 - 3255*l**3/4 + 3675*l**2/2 = 0. What is l?
-35, 0, 2
Factor -4*m**2 + 4*m + 224.
-4*(m - 8)*(m + 7)
Suppose 2*m**4/11 - 306*m**3/11 + 906*m**2/11 - 82*m + 300/11 = 0. Calculate m.
1, 150
Determine q, given that 2*q**2 + 4488*q + 2517768 = 0.
-1122
Factor -63*y**3 + 2202*y**2 - 19552*y + 5408.
-(3*y - 52)**2*(7*y - 2)
Factor -3*f**2 - 222*f + 225.
-3*(f - 1)*(f + 75)
Factor -4*q**3 - 588*q**2 - 24012*q - 171396.
-4*(q + 9)*(q + 69)**2
Factor 4*k**2 + 160*k.
4*k*(k + 40)
What is l in -4*l**2 + 128*l + 272 = 0?
-2, 34
Factor -j**2/3 - 7*j - 38/3.
-(j + 2)*(j + 19)/3
Factor -3*c**4/5 + 1779*c**3/5 - 52569*c**2 - 264627*c/5.
-3*c*(c - 297)**2*(c + 1)/5
Suppose 8*a**2/7 - 318*a/7 - 80/7 = 0. What is a?
-1/4, 40
Let -15*c**5 + 6*c**4 + 51*c**3 - 42*c**2 = 0. What is c?
-2, 0, 1, 7/5
Solve -3*n**4/4 - 45*n