
Solve l**2/6 - 299*l/6 + 99 = 0 for l.
2, 297
What is y in y**2 - 216*y + 11664 = 0?
108
Find y, given that -5*y**5 - 13*y**4 + 2301*y**3 + 3697*y**2 + 464*y - 924 = 0.
-22, -1, 2/5, 21
Let 12*b**2/17 + 550*b/17 = 0. What is b?
-275/6, 0
Determine v so that 2*v**3/3 + 8*v**2/3 - 22*v/3 + 4 = 0.
-6, 1
Let -3*j**4 - 12*j**3 + 153*j**2 - 258*j + 120 = 0. Calculate j.
-10, 1, 4
Determine t, given that -3*t**3 + 3*t**2 + 3*t - 3 = 0.
-1, 1
Factor 2*c**2/7 + 74*c/7 + 204/7.
2*(c + 3)*(c + 34)/7
Let -j**2/2 - 11*j - 121/2 = 0. Calculate j.
-11
Factor r**4/9 + 334*r**3/3 + 28549*r**2 + 330660*r + 980100.
(r + 6)**2*(r + 495)**2/9
Factor 4*v**2/5 + 112*v/5 - 48.
4*(v - 2)*(v + 30)/5
Determine m so that 3*m**5 - 63*m**4 = 0.
0, 21
Determine t, given that -2*t**5 - 12*t**4 - 20*t**3 + 22*t + 12 = 0.
-3, -2, -1, 1
Factor 5*g**2 - 705*g.
5*g*(g - 141)
Factor 6*m**4 + 165*m**3 - 84*m**2.
3*m**2*(m + 28)*(2*m - 1)
Suppose -21*s**5 + 24*s**4 - 3*s**3 = 0. Calculate s.
0, 1/7, 1
Factor -21*o**2/2 + 1275*o/2 + 183.
-3*(o - 61)*(7*o + 2)/2
Find r such that 5*r**3 - 85*r**2 - 1350*r = 0.
-10, 0, 27
Let -4*u**3 + 40*u**2 - 36*u = 0. Calculate u.
0, 1, 9
Factor -4*l**3/3 - 276*l**2 - 19044*l - 438012.
-4*(l + 69)**3/3
Factor 3*a**3/4 + 177*a**2/4 - 93*a/2 - 90.
3*(a - 2)*(a + 1)*(a + 60)/4
Solve j**4 + 13*j**3 + 47*j**2 + 35*j = 0.
-7, -5, -1, 0
Factor 3*r**5 - 12*r**4 + 18*r**3 - 12*r**2 + 3*r.
3*r*(r - 1)**4
Find n such that -4*n**3/5 + 316*n**2/5 - 312*n/5 = 0.
0, 1, 78
Determine u, given that -u**5/3 - 29*u**4 - 1663*u**3/3 + 3313*u**2 - 14536*u/3 + 2116 = 0.
-46, 1, 3
Factor -2*k**5 - 144*k**4.
-2*k**4*(k + 72)
Factor 5*q**2 + 220*q + 1700.
5*(q + 10)*(q + 34)
Factor -v**3/4 + 7*v/4 + 3/2.
-(v - 3)*(v + 1)*(v + 2)/4
Find b, given that b**3 + 672*b**2 + 2676*b + 2672 = 0.
-668, -2
Determine m, given that -28*m**4 + 104*m**3 - 52*m**2 - 24*m = 0.
-2/7, 0, 1, 3
Determine y so that -3*y**5/7 + 699*y**4/7 + 3*y**3/7 - 699*y**2/7 = 0.
-1, 0, 1, 233
Factor 3*c**4 - 246*c**3 - 3321*c**2 - 5892*c - 2820.
3*(c - 94)*(c + 1)**2*(c + 10)
Factor -3*m**2 + 18*m.
-3*m*(m - 6)
Suppose -3*x**3 - 6*x**2 + 117*x - 216 = 0. Calculate x.
-8, 3
Factor -2*x**3 + 56*x**2 - 104*x.
-2*x*(x - 26)*(x - 2)
Find k, given that -5*k**3 + 135*k**2 - 895*k + 765 = 0.
1, 9, 17
Factor 3*d**3/5 - 66*d**2/5 - 303*d/5 - 234/5.
3*(d - 26)*(d + 1)*(d + 3)/5
Suppose 24*m**5 - 140*m**4 + 288*m**3 - 236*m**2 + 48*m + 16 = 0. What is m?
-1/6, 1, 2
Factor -3*c**4 + 390*c**3 - 1524*c**2 + 1512*c.
-3*c*(c - 126)*(c - 2)**2
Factor 24*u**2/7 + 68*u/7 - 12/7.
4*(u + 3)*(6*u - 1)/7
Factor 3*x**3 + 36*x**2 + 123*x + 90.
3*(x + 1)*(x + 5)*(x + 6)
Determine w, given that w**5/4 - 2*w**4 + 4*w**3 - w**2/2 - 17*w/4 + 5/2 = 0.
-1, 1, 2, 5
What is s in -3*s**5/4 + 3*s**4 - 15*s**3/4 + 3*s**2/2 = 0?
0, 1, 2
Factor -5*x**3 - 185*x**2.
-5*x**2*(x + 37)
Let 16*o**5 + 56*o**4 - 119*o**3 + 11*o**2 + 31*o + 5 = 0. What is o?
-5, -1/4, 1
What is x in -x**3/10 - 17*x**2/10 - 63*x/10 + 81/10 = 0?
-9, 1
What is s in -9*s**4/4 + 21*s**3/2 + 681*s**2/4 + 651*s/2 + 90 = 0?
-5, -2, -1/3, 12
Factor -2*r**4/3 + 16*r**3/3 - 44*r**2/3 + 16*r - 6.
-2*(r - 3)**2*(r - 1)**2/3
Factor 2*o**2 + 8582*o + 17156.
2*(o + 2)*(o + 4289)
Suppose -15*b**4 + 205*b**3 - 370*b**2 - 2720*b + 1920 = 0. Calculate b.
-3, 2/3, 8
Determine d, given that -d**4/6 + 69*d**3/2 - 101*d**2/3 - 138*d + 412/3 = 0.
-2, 1, 2, 206
What is c in 4*c**4/5 + 2*c**3/5 - 28*c**2/5 + 2*c + 12/5 = 0?
-3, -1/2, 1, 2
Find i such that -2*i**4/3 - 80*i**3/3 - 226*i**2/3 - 148*i/3 = 0.
-37, -2, -1, 0
Factor r**3/5 + 19*r**2/5 + 63*r/5 + 9.
(r + 1)*(r + 3)*(r + 15)/5
Suppose 2*p**5/3 - 836*p**4/3 + 1106*p**3 - 2476*p**2/3 - 3320*p/3 + 1104 = 0. What is p?
-1, 1, 2, 414
Factor -3*l**2 - 366*l + 744.
-3*(l - 2)*(l + 124)
What is d in 3*d**3/7 - 108*d**2/7 + 384*d/7 = 0?
0, 4, 32
Determine u, given that -20*u**3 - 144*u**2 - 304*u - 192 = 0.
-4, -2, -6/5
What is g in -3*g**3 - 36*g**2 - 123*g - 90 = 0?
-6, -5, -1
Factor -2*y**3 + 62*y**2 - 624*y + 2016.
-2*(y - 12)**2*(y - 7)
Determine h, given that 25*h**4/3 + 709*h**3 + 145*h**2/3 - 709*h - 170/3 = 0.
-85, -1, -2/25, 1
Factor 2*i**2 - 48*i + 160.
2*(i - 20)*(i - 4)
Factor u**5 - 2*u**4 - 13*u**3 - 10*u**2.
u**2*(u - 5)*(u + 1)*(u + 2)
Factor -o**3/4 + o**2/4 + o/2.
-o*(o - 2)*(o + 1)/4
Factor -4*s**4 - 56*s**3 - 208*s**2 - 264*s - 108.
-4*(s + 1)**2*(s + 3)*(s + 9)
Suppose -12*o**5/5 + 201*o**4/5 - 753*o**3/5 + 843*o**2/5 - 171*o/5 - 108/5 = 0. What is o?
-1/4, 1, 3, 12
Factor 21*p**4 - 171*p**3 + 444*p**2 - 396*p + 48.
3*(p - 4)*(p - 2)**2*(7*p - 1)
Factor -f**3 + 12839*f**2/3 - 13734520*f/3 - 4579600/3.
-(f - 2140)**2*(3*f + 1)/3
Solve 3*z**5 + 9*z**4 - 9*z**3 - 33*z**2 - 18*z = 0.
-3, -1, 0, 2
Let -l**5/2 - 5*l**4 - 5*l**3/2 + 20*l**2 + 18*l = 0. What is l?
-9, -2, -1, 0, 2
Factor -5*u**2 - 7190*u - 2584805.
-5*(u + 719)**2
Solve 3*i**5 + 39*i**4 + 189*i**3 + 417*i**2 + 408*i + 144 = 0.
-4, -3, -1
Factor -u**2/3 - 1325*u/3 + 2654/3.
-(u - 2)*(u + 1327)/3
Find w, given that 2*w**4/9 - 8*w**3/9 + 10*w**2/9 - 4*w/9 = 0.
0, 1, 2
Let -3*n**2/7 + 129*n/7 = 0. Calculate n.
0, 43
Find b, given that 126*b**3/5 + 183*b**2/5 + 84*b/5 + 12/5 = 0.
-2/3, -1/2, -2/7
Factor -2*n**2/15 + 15092*n/15 - 28471058/15.
-2*(n - 3773)**2/15
Solve -2*v**2/3 - 32*v/3 - 56/3 = 0.
-14, -2
Determine c so that c**3/4 + 3*c**2/4 - 4*c + 3 = 0.
-6, 1, 2
Factor -r**3 - r**2 + 37*r - 35.
-(r - 5)*(r - 1)*(r + 7)
Factor 3*y**2/2 + 5109*y + 8700627/2.
3*(y + 1703)**2/2
Let -6*b**2 - 64*b/13 - 8/13 = 0. Calculate b.
-2/3, -2/13
Suppose -4*f**3 + 76*f**2 + 4*f - 76 = 0. What is f?
-1, 1, 19
Solve -5*j**4 - 300*j**3 - 295*j**2 = 0 for j.
-59, -1, 0
Find z, given that 5*z**3 + 2021*z**2 + 4424*z + 804 = 0.
-402, -2, -1/5
Find h such that h**3 + 6*h**2 - 31*h - 36 = 0.
-9, -1, 4
Factor q**5 + 16*q**4 + 39*q**3.
q**3*(q + 3)*(q + 13)
Factor -18*h**4 + 147*h**3 - 312*h**2 + 48*h.
-3*h*(h - 4)**2*(6*h - 1)
Factor u**4 - 449*u**3 - 2718*u**2 - 5452*u - 3640.
(u - 455)*(u + 2)**3
Find o such that 2*o**3 - 984*o**2 + 161376*o - 8821888 = 0.
164
Determine n so that n**5/2 + 21*n**4 + 637*n**3/2 + 2058*n**2 + 4802*n = 0.
-14, -7, 0
Factor -2*r**2/5 + 74*r/5 + 48.
-2*(r - 40)*(r + 3)/5
Factor -4*o**4 + 56*o**3 - 244*o**2 + 336*o - 144.
-4*(o - 6)**2*(o - 1)**2
Factor 3*z**4/4 + 3*z**3/4 - 45*z**2/4 + 69*z/4 - 15/2.
3*(z - 2)*(z - 1)**2*(z + 5)/4
Find a, given that 19*a**5/5 + 14*a**4 + 18*a**3 + 8*a**2 - a - 6/5 = 0.
-1, 6/19
Suppose 76*i**4 - 164*i**3 - 316*i**2 + 164*i + 240 = 0. What is i?
-1, 1, 60/19
Let v**3/6 - 9*v**2 - 80*v - 496/3 = 0. Calculate v.
-4, 62
Factor 4*s**2 + 1968*s + 242064.
4*(s + 246)**2
Solve 2*u**2 - 48*u + 288 = 0.
12
Factor 3*i**2/4 + 75*i/4 - 492.
3*(i - 16)*(i + 41)/4
Determine x so that x**2/9 - 161*x/9 + 158/3 = 0.
3, 158
Factor -j**5/10 - 3*j**4/10 - j**3/5.
-j**3*(j + 1)*(j + 2)/10
Find l such that 3*l**3/7 + 30*l**2/7 + 69*l/7 + 6 = 0.
-7, -2, -1
Solve -4*g**3 - 12*g**2 - 12*g - 4 = 0 for g.
-1
Factor -m**4/3 + 11*m**3/3 - 14*m**2/3 - 44*m/3 + 24.
-(m - 9)*(m - 2)**2*(m + 2)/3
Solve 3*p**2/7 - 162*p/7 + 459/7 = 0 for p.
3, 51
Determine v so that v**5/4 - 27*v**4 - 443*v**3/4 - 279*v**2/2 - 56*v = 0.
-2, -1, 0, 112
Suppose h**2/3 - 58*h + 2523 = 0. Calculate h.
87
Factor -2*n**4/11 - 12*n**3/11 - 18*n**2/11 - 8*n/11.
-2*n*(n + 1)**2*(n + 4)/11
Factor -6*f**3 + 57*f**2 + 6*f - 57.
-3*(f - 1)*(f + 1)*(2*f - 19)
Find p such that -2*p**5 + 18*p**4 + 22*p**3 - 18*p**2 - 20*p = 0.
-1, 0, 1, 10
Factor -5*w**3 - 80*w**2 - 205*w - 130.
-5*(w + 1)*(w + 2)*(w + 13)
Suppose -3*q**5/2 - 15*q**4/2 + 30*q**2 + 24*q = 0. What is q?
-4, -2, -1, 0, 2
Factor -a**2/7 - 43*a/7 - 82/7.
-(a + 2)*(a + 41)/7
Determine t, given that 3*t**2 + 24*t - 27 = 0.
-9, 1
Factor i**3 + 13*i**2 - 326*i + 312.
(i - 12)*(i - 1)*(i + 26)
Let 3*o**3 - 249*o**2 + 5289*o - 5043 = 0. What is o?
1, 41
Determine h so that 8*h**3/3 + 4982*h**2/3 + 3730*h/3 - 1244/3 = 0.
-622, -1, 1/4
Factor -2*u**4/9 - 478*u**3/9 - 950*u**2/9 - 158*u/3.
-2*u*(u + 1)**2*(u + 237)/9
Factor -z**4 - z**3 + z**2 + z.
-z*(z - 1)*(z + 1)**2
Factor 15*b**3/4 + 507*b**2/4 + 393*b/4 - 99/4.
3*(b + 1)*(b + 33)*(5*b - 1)/4
Factor -2*f**3/7 - 22*f**2/7 - 68*f/7 - 48/7.
-2*(f + 1)*(f + 4)*(f + 6)/7
What is o in -o**4/2