actor -3*t**3 - 114*t**2 - 915*t - 2100.
-3*(t + 5)**2*(t + 28)
Factor -14*q**2/9 - 22*q/3 - 40/9.
-2*(q + 4)*(7*q + 5)/9
Solve 2*i**2/5 + 92*i/5 + 176/5 = 0 for i.
-44, -2
Factor 2*n**4/5 + 12*n**3 + 96*n**2/5 - 448*n/5.
2*n*(n - 2)*(n + 4)*(n + 28)/5
Solve -3*z**5/7 - 30*z**4/7 - 90*z**3/7 - 60*z**2/7 + 93*z/7 + 90/7 = 0 for z.
-5, -3, -2, -1, 1
Solve -3*r**2 - 42*r + 2040 = 0.
-34, 20
Find y such that -2*y**3/9 - 4*y**2 - 64*y/3 - 320/9 = 0.
-10, -4
Factor -18*u**3 + 86*u**2 + 272*u + 56.
-2*(u - 7)*(u + 2)*(9*u + 2)
Determine g, given that g**4/3 - 11*g**3 - g**2 + 97*g/3 + 22 = 0.
-1, 2, 33
Solve 2*j**4 - 36*j**3 + 122*j**2 - 144*j + 56 = 0 for j.
1, 2, 14
Solve -4*z**2 + 5824*z - 2119936 = 0.
728
Suppose 4*b**3 + 28*b**2 + 32*b - 64 = 0. What is b?
-4, 1
Factor x**2/4 + 1813*x/2 + 3286969/4.
(x + 1813)**2/4
What is y in 2*y**4 - 282*y**3 + 1106*y**2 - 1374*y + 548 = 0?
1, 2, 137
Factor -2*n**2/5 + 156*n/5 + 158/5.
-2*(n - 79)*(n + 1)/5
Factor 2*y**2/11 - 796*y/11 + 144.
2*(y - 396)*(y - 2)/11
Factor -f**5 + 4*f**3 - 2*f**2 - 3*f + 2.
-(f - 1)**3*(f + 1)*(f + 2)
Determine t so that -t**3 - 5*t**2 + t + 5 = 0.
-5, -1, 1
Factor -2*u**3/15 - 82*u**2/15 + 28*u/5.
-2*u*(u - 1)*(u + 42)/15
Determine n so that n**4/3 - 10*n**3/3 - 17*n**2 - 68*n/3 - 28/3 = 0.
-2, -1, 14
Factor -9*a**2 + 19*a - 2.
-(a - 2)*(9*a - 1)
Let z**3 - 3*z**2 - 105*z + 539 = 0. What is z?
-11, 7
Suppose y**3/4 + 98*y**2 + 38021*y/4 - 38809/2 = 0. Calculate y.
-197, 2
Determine q so that -6*q**3/17 - 10*q**2/17 + 332*q/17 + 224/17 = 0.
-8, -2/3, 7
Find v, given that -2*v**4 + 10*v**3 + 80*v**2 - 280*v + 192 = 0.
-6, 1, 2, 8
Solve -2*z**5/3 + 8*z**4 - 30*z**3 + 36*z**2 = 0 for z.
0, 3, 6
Factor -4*h**2 - 444*h + 3808.
-4*(h - 8)*(h + 119)
Solve 2*h**4/3 - 2446*h**3/3 + 2442*h**2 - 7322*h/3 + 2440/3 = 0 for h.
1, 1220
Let -l**5/8 + 7*l**4 + 57*l**3/8 = 0. Calculate l.
-1, 0, 57
Solve 54*a**5/7 + 12*a**4/7 - 1114*a**3/7 + 848*a**2/7 - 160*a/7 = 0 for a.
-5, 0, 1/3, 4/9, 4
Determine q, given that q**2/4 - 75*q/2 + 2709/4 = 0.
21, 129
Find k such that -4*k**2 - 88*k + 416 = 0.
-26, 4
Suppose 15*f**5 - 324*f**4 + 2568*f**3 - 8640*f**2 + 9072*f + 5184 = 0. What is f?
-2/5, 4, 6
Factor -4*l**4/3 + 15*l**3/2 + 37*l**2/3 + 7*l/2.
-l*(l - 7)*(l + 1)*(8*l + 3)/6
Factor c**5/8 - 5*c**4/4 - 3*c**3/4 + 85*c**2/2 - 1075*c/8 + 375/4.
(c - 5)**3*(c - 1)*(c + 6)/8
Factor 3*c**2 - 129*c + 126.
3*(c - 42)*(c - 1)
Factor -3*q**2 - 49*q + 34.
-(q + 17)*(3*q - 2)
Factor -5*d**4 - 15*d**3 + 45*d**2 + 115*d + 60.
-5*(d - 3)*(d + 1)**2*(d + 4)
Find x such that -5*x**5 + 385*x**4 + 1595*x**3 + 2015*x**2 + 810*x = 0.
-2, -1, 0, 81
Find c such that 5*c**4/6 - 31*c**3/3 + 43*c**2/2 - 46*c/3 + 10/3 = 0.
2/5, 1, 10
Factor -3*x**3/8 + 3*x**2/4.
-3*x**2*(x - 2)/8
Factor b**5/6 + b**4/2 - 5*b**3/3 + b**2/3 + 3*b/2 - 5/6.
(b - 1)**3*(b + 1)*(b + 5)/6
Determine k, given that -k**5/4 + 12*k**4 + 315*k**3/4 + 243*k**2/2 = 0.
-3, 0, 54
What is q in -3*q**5 - 6*q**4 + 3*q**3 + 6*q**2 = 0?
-2, -1, 0, 1
Factor 2*d**3/7 - 4*d**2/7 - 558*d/7 - 3240/7.
2*(d - 20)*(d + 9)**2/7
Solve o**3/3 - o**2 + o - 1/3 = 0 for o.
1
Factor -50*j**4/3 - 1240*j**3/3 - 8168*j**2/3 - 1984*j - 384.
-2*(j + 12)**2*(5*j + 2)**2/3
Determine c so that c**4/2 - 25*c**3/2 - 42*c**2 = 0.
-3, 0, 28
Determine f, given that -4*f**4/5 + 4*f**3 = 0.
0, 5
Factor -2*j**2 - 1592*j - 316808.
-2*(j + 398)**2
Find i, given that -3*i**5 + 1110*i**4 - 102672*i**3 - 1110*i**2 + 102675*i = 0.
-1, 0, 1, 185
Solve -4*r**5 - 4*r**4 + 68*r**3 - 60*r**2 = 0.
-5, 0, 1, 3
Solve -12*g**5 + 844*g**4/5 - 372*g**3 - 9356*g**2/5 + 7104*g/5 + 3328/5 = 0 for g.
-13/5, -1/3, 1, 8
Suppose 3*k**2 + 246*k + 711 = 0. What is k?
-79, -3
Let 2*x**4/3 + 4*x**3 + 16*x**2/3 = 0. Calculate x.
-4, -2, 0
Factor -2*n**4/7 - 8*n**3/7 + 2*n**2/7 + 8*n/7.
-2*n*(n - 1)*(n + 1)*(n + 4)/7
Suppose -3*c**2 + 1389*c + 1392 = 0. What is c?
-1, 464
What is z in -4*z**4 + 632*z**3 - 24964*z**2 = 0?
0, 79
Find x, given that -4*x**2 + 620*x - 1824 = 0.
3, 152
Let -3*v**2/2 - 5967*v - 11868363/2 = 0. What is v?
-1989
Let 5*l**3 + 62*l**2 + 79*l + 22 = 0. What is l?
-11, -1, -2/5
Suppose 2*n**2/17 + 88*n/17 = 0. Calculate n.
-44, 0
Find b, given that -b**5/6 - 3*b**4 - 16*b**3/3 = 0.
-16, -2, 0
Determine b so that 4*b**2 - 4984*b + 1552516 = 0.
623
Find d such that d**5/4 + 7*d**4/4 - 13*d**3/4 - 103*d**2/4 - 21*d = 0.
-7, -3, -1, 0, 4
Find c such that -4*c**3 - 7980*c**2 - 5306700*c - 1176318500 = 0.
-665
Factor -5*s**4 - 370*s**3 - 355*s**2 + 730*s.
-5*s*(s - 1)*(s + 2)*(s + 73)
Solve 3*n**5 + 7*n**4 + 2*n**3 - 6*n**2 - 5*n - 1 = 0.
-1, -1/3, 1
Find o such that -3*o**3 - 60*o**2 + 3*o + 60 = 0.
-20, -1, 1
Factor -2*w**4/9 + 4*w**3 - 18*w**2.
-2*w**2*(w - 9)**2/9
Find v, given that -2*v**3 - 116*v**2 - 1054*v - 940 = 0.
-47, -10, -1
Factor -5*h**2 + 3935*h - 3930.
-5*(h - 786)*(h - 1)
Factor b**4/4 - 29*b**3/4 + 103*b**2/4 - 75*b/4.
b*(b - 25)*(b - 3)*(b - 1)/4
Find i, given that -2*i**5/11 - 1568*i**4/11 - 1566*i**3/11 = 0.
-783, -1, 0
Factor 2*g**2 - 128.
2*(g - 8)*(g + 8)
Determine s, given that -6*s**5/7 - 148*s**4/7 - 114*s**3 - 1464*s**2/7 - 1096*s/7 - 288/7 = 0.
-18, -4, -1, -2/3
Suppose 3*t**2 + 63*t + 60 = 0. What is t?
-20, -1
Determine g so that 50*g**3/7 + 4*g**2/7 = 0.
-2/25, 0
Factor 6*n**4 - 152*n**3 - 274*n**2 + 108*n.
2*n*(n - 27)*(n + 2)*(3*n - 1)
Suppose -6*i**5/7 - 22*i**4/7 - 18*i**3/7 + 2*i**2 + 24*i/7 + 8/7 = 0. What is i?
-2, -1, -2/3, 1
Solve 2*q**4/3 + 36*q**3 + 70*q**2 + 104*q/3 = 0.
-52, -1, 0
Find t, given that 5*t**3 + 85*t**2 + 70*t - 160 = 0.
-16, -2, 1
Let 25*a**4 - 26090*a**3 + 9072360*a**2 - 1049971680*a - 421441920 = 0. Calculate a.
-2/5, 348
Determine a, given that -3*a**5/4 + 9*a**4/4 + 9*a**3/2 - 39*a**2/2 + 81*a/4 - 27/4 = 0.
-3, 1, 3
What is l in -l**4 + 57*l**3 + 240*l**2 + 244*l = 0?
-2, 0, 61
Suppose -3*n**5 + 39*n**3 - 48*n**2 - 36*n + 48 = 0. What is n?
-4, -1, 1, 2
Determine s, given that 4*s**5 - 784*s**4 + 38416*s**3 = 0.
0, 98
Solve 4*g**4 - 8*g**3 - 12*g**2 + 16*g + 16 = 0.
-1, 2
Suppose -3*l**2 + 174*l - 171 = 0. What is l?
1, 57
Factor 12*g**3 + 1448*g**2 + 956*g - 480.
4*(g + 1)*(g + 120)*(3*g - 1)
Solve 3*z**3 + 27*z**2 + 18*z - 48 = 0.
-8, -2, 1
Determine h, given that -2*h**3 - 22*h**2 + 28*h + 48 = 0.
-12, -1, 2
Find q such that 2*q**2/17 - 138*q/17 - 284/17 = 0.
-2, 71
Factor 3*r**3/8 + 19557*r**2/8 + 42497361*r/8 + 30782255151/8.
3*(r + 2173)**3/8
Let 27*v**2 + 15*v - 2 = 0. What is v?
-2/3, 1/9
Factor -10*z**3 + 5356*z**2 - 716096*z - 287296.
-2*(z - 268)**2*(5*z + 2)
Factor 3*u**3/7 - 3*u**2/7 - 18*u/7.
3*u*(u - 3)*(u + 2)/7
Solve -25*y**2 - 15*y + 10 = 0 for y.
-1, 2/5
Factor -j**2 + 196*j - 9604.
-(j - 98)**2
Suppose -5*g**5 + 20*g**4 - 5*g**3 - 70*g**2 + 100*g - 40 = 0. Calculate g.
-2, 1, 2
Suppose -5*i**2 - 830*i - 10640 = 0. Calculate i.
-152, -14
Determine a, given that -5*a**4 + 45*a**3 - 90*a**2 = 0.
0, 3, 6
Factor t**5/4 - 29*t**4/4 - 61*t**3/4 - 31*t**2/4.
t**2*(t - 31)*(t + 1)**2/4
Find y, given that -3*y**2 - 33210*y - 91908675 = 0.
-5535
Suppose 2*n**4/3 - 2*n**3 + 4*n**2/3 = 0. Calculate n.
0, 1, 2
Factor l**2 + 246*l - 496.
(l - 2)*(l + 248)
Solve t**3/6 - t**2/3 + t/6 = 0 for t.
0, 1
Factor 3*v**2/4 - 933*v + 290163.
3*(v - 622)**2/4
What is o in -2*o**3/9 + 146*o**2/9 - 140*o/9 - 32 = 0?
-1, 2, 72
Factor p**4/4 - p**3/2 - 9*p**2/4 + 9*p/2.
p*(p - 3)*(p - 2)*(p + 3)/4
Determine f so that 24*f**2/11 + 46*f/11 - 18/11 = 0.
-9/4, 1/3
Factor 2*w**3 - 2818*w**2 + 994048*w - 991232.
2*(w - 704)**2*(w - 1)
Factor l**4/2 - 15*l**3 + 193*l**2/2 + 240*l + 128.
(l - 16)**2*(l + 1)**2/2
Factor -3*j**3/2 - 237*j**2/2 - 4797*j/2 - 4563/2.
-3*(j + 1)*(j + 39)**2/2
Suppose -2*k**5 - 4*k**4 + 6*k**3 + 8*k**2 - 8*k = 0. Calculate k.
-2, 0, 1
Factor r**2/7 + 26*r/7 + 25/7.
(r + 1)*(r + 25)/7
Factor k**3/8 - k**2/8 - 9*k/8 + 9/8.
(k - 3)*(k - 1)*(k + 3)/8
Factor -5*d**3 - 305*d**2 - 2180*d - 3180.
-5*(d + 2)*(d + 6)*(d + 53)
Find z, given that -8*z**4 + 12*z**3 - 4*z**2 = 0.
0, 1/2, 1
Let -y**3/5 + 78*y**2/5 - 1596*y/5 + 2888/5 = 0. What is y?
2, 38
Factor -4*t**2/9 + 4*t - 80/9.
-4*(t - 5)*(t - 4)/9
Factor 4952198*u**5 + 5212840*u**4 + 2194880*u**3 + 462080*u**2 + 48640*u + 2048.
2*(19*u + 4)**5
Factor 4*a**2/7 + 5400*a/7 + 1822500/7.
4*(