(11*z + 23)**2/7
Find u such that 2*u**2/9 + 52*u/9 + 32/3 = 0.
-24, -2
Factor 2*d**2 + 30*d.
2*d*(d + 15)
Solve -2*l**5 + 113*l**4/2 - 204*l**3 - 17*l**2/2 + 206*l - 48 = 0.
-1, 1/4, 1, 4, 24
Find b, given that 4*b**2 + 552*b + 19044 = 0.
-69
Factor -3*i**2/11 + 142*i + 521/11.
-(i - 521)*(3*i + 1)/11
Let -b**5 + 19*b**4 + 164*b**3 + 448*b**2 + 512*b + 208 = 0. Calculate b.
-2, -1, 26
Find w such that -3*w**2/5 - 78*w/5 - 63 = 0.
-21, -5
Factor -2*z**3/3 - 50*z**2/3 + 106*z/3 - 18.
-2*(z - 1)**2*(z + 27)/3
Find c such that 4*c**5 - 28*c**4 + 56*c**3 - 32*c**2 = 0.
0, 1, 2, 4
Factor j**2/7 - 2084*j/7 + 1085764/7.
(j - 1042)**2/7
Suppose 3*k**4/7 + 5*k**3/7 + k**2/7 - k/7 = 0. What is k?
-1, 0, 1/3
Factor -n**3 + 25*n**2 - 118*n - 144.
-(n - 18)*(n - 8)*(n + 1)
Factor 3*a**3/8 + 8019*a**2/8 + 7144929*a/8 + 2122043913/8.
3*(a + 891)**3/8
Let -6*c**3 - 44*c**2 - 50*c + 100 = 0. Calculate c.
-5, -10/3, 1
Suppose -2*f**2 - 300*f - 11250 = 0. What is f?
-75
Factor -4*w**5 + 188*w**4 - 3216*w**3 + 23744*w**2 - 68992*w + 65856.
-4*(w - 14)**3*(w - 3)*(w - 2)
Let -9*g**4/2 - 876*g**3 - 42923*g**2 - 28324*g - 9409/2 = 0. What is g?
-97, -1/3
Factor -3*v**5 - 66*v**4 - 408*v**3 - 1104*v**2 - 1392*v - 672.
-3*(v + 2)**4*(v + 14)
Suppose 2*h**4/11 - 16*h**3/11 - 6*h**2/11 + 52*h/11 - 32/11 = 0. What is h?
-2, 1, 8
Factor 8*x**3 - 2276*x**2 - 3428*x - 1144.
4*(x - 286)*(x + 1)*(2*x + 1)
Factor u**4/4 - 4*u**3 - 105*u**2/4.
u**2*(u - 21)*(u + 5)/4
Factor 2*c**3/5 - 26*c/5 - 24/5.
2*(c - 4)*(c + 1)*(c + 3)/5
Factor p**5/5 + 46*p**4/5 + 88*p**3/5 - 2*p**2/5 - 89*p/5 - 44/5.
(p - 1)*(p + 1)**3*(p + 44)/5
What is r in 3*r**5/7 + 57*r**4/7 - 2664*r**3/7 + 18576*r**2/7 = 0?
-43, 0, 12
Find x such that 2*x**4 + 53*x**3/2 + 71*x**2/2 - 154*x = 0.
-11, -4, 0, 7/4
Determine h, given that -2*h**3 + 182*h**2 - 4048*h - 4232 = 0.
-1, 46
Find z, given that 4*z**4/7 - 8*z**3/7 - 124*z**2/7 - 16*z = 0.
-4, -1, 0, 7
What is o in -2*o**3/7 + 32*o**2/7 - 10*o - 104/7 = 0?
-1, 4, 13
Determine c, given that 3*c**2 - 852*c + 60492 = 0.
142
Factor 2*r**2/9 + 952*r/3 + 2854/9.
2*(r + 1)*(r + 1427)/9
Factor y**5 + 5*y**4 + 7*y**3 - y**2 - 8*y - 4.
(y - 1)*(y + 1)**2*(y + 2)**2
Factor -2*z**2 - 198*z + 200.
-2*(z - 1)*(z + 100)
Factor -4*h**2 + 1370*h - 684.
-2*(h - 342)*(2*h - 1)
Factor -4*x**2 - 6016*x - 2262016.
-4*(x + 752)**2
Factor -4*o**2 + 108*o + 792.
-4*(o - 33)*(o + 6)
Let -5*r**3 - 1615*r**2 - 1600*r + 3220 = 0. Calculate r.
-322, -2, 1
Let -o**5/3 + 41*o**4/3 - 511*o**3/3 + 625*o**2 - 792*o + 324 = 0. Calculate o.
1, 3, 18
Factor -8*j**5 - 42*j**4 - 60*j**3 - 26*j**2.
-2*j**2*(j + 1)**2*(4*j + 13)
Suppose 4*p**5 - 16*p**3 - 8*p**2 + 12*p + 8 = 0. What is p?
-1, 1, 2
Determine z so that -z**2/2 - 459*z/2 + 693 = 0.
-462, 3
Factor 45*q**4 + 345*q**3 + 110*q**2 - 660*q + 280.
5*(q + 2)*(q + 7)*(3*q - 2)**2
Suppose 3*a**5/4 - 7*a**4/4 + a**3/2 + 3*a**2/2 - 5*a/4 + 1/4 = 0. What is a?
-1, 1/3, 1
Factor m**4/2 - 3*m**3 + 9*m**2/2 - 2*m.
m*(m - 4)*(m - 1)**2/2
Factor -2*o**4 + 2*o**3 + 12*o**2 - 8*o - 16.
-2*(o - 2)**2*(o + 1)*(o + 2)
Factor -p**3/6 - 82*p**2 - 13448*p - 2205472/3.
-(p + 164)**3/6
Let 340*r**5 + 725*r**4 - 1280*r**3 - 2920*r**2 - 320*r + 80 = 0. What is r?
-2, -1/4, 2/17, 2
Factor -n**2/6 + n/3 + 1/2.
-(n - 3)*(n + 1)/6
Factor 3*i**3/4 - 183*i**2/4 + 345*i/4 + 531/4.
3*(i - 59)*(i - 3)*(i + 1)/4
Solve -5*t**3 - 115*t**2 - 100*t + 220 = 0 for t.
-22, -2, 1
Suppose 5*o**2 + 30*o = 0. Calculate o.
-6, 0
Factor -4*x**2/5 - 16*x/5 + 4.
-4*(x - 1)*(x + 5)/5
Let 4*n**2 - 3856*n + 929296 = 0. What is n?
482
Determine s so that -2*s**5 - 6*s**4 + 50*s**3 - 50*s**2 - 48*s + 56 = 0.
-7, -1, 1, 2
Solve 243*f**5/4 + 2295*f**4/2 + 4746*f**3 - 6332*f**2 + 2060*f - 200 = 0.
-10, 2/9, 2/3
Determine q, given that -18*q**5 - q**4/2 + q**3 = 0.
-1/4, 0, 2/9
Factor -3*k**3 - 76*k**2 - 1444*k/3.
-k*(3*k + 38)**2/3
Find b, given that 4*b**5 + 440*b**4 + 9728*b**3 - 128768*b**2 + 445440*b - 460800 = 0.
-60, 2, 4
Factor -2*v**2 - 352*v - 1376.
-2*(v + 4)*(v + 172)
Factor l**3/7 + 925*l**2/7 + 216200*l/7 + 1058000/7.
(l + 5)*(l + 460)**2/7
What is u in -3*u**4/2 + 5*u**3/2 + 11*u**2/2 + 3*u/2 = 0?
-1, -1/3, 0, 3
Factor -2*t**5/7 - 6*t**4/7 - 4*t**3/7.
-2*t**3*(t + 1)*(t + 2)/7
Suppose 52900*u**4 - 920*u**3 + 4*u**2 = 0. What is u?
0, 1/115
Factor 5*d**4 - 25*d**3 - 35*d**2 + 25*d + 30.
5*(d - 6)*(d - 1)*(d + 1)**2
Factor -2*n**2 - 32*n + 264.
-2*(n - 6)*(n + 22)
Let 243*g**5 + 1107*g**4 + 444*g**3 - 372*g**2 + 48*g = 0. What is g?
-4, -1, 0, 2/9
Factor -3*p**3 + 297*p**2.
-3*p**2*(p - 99)
Suppose -d**5 + 7*d**3 - 2*d**2 - 12*d + 8 = 0. What is d?
-2, 1, 2
Suppose -2*h**2/17 + 60*h/17 - 162/17 = 0. Calculate h.
3, 27
Factor 2*d**3/7 - 134*d/7 - 36.
2*(d - 9)*(d + 2)*(d + 7)/7
Factor -5*u**2 + 2025*u + 2030.
-5*(u - 406)*(u + 1)
Let -5*u**4 + 4*u**3 + 20*u**2 - 16*u = 0. Calculate u.
-2, 0, 4/5, 2
Let -l**4 + l**3/2 + 11*l**2/2 + 11*l/2 + 3/2 = 0. What is l?
-1, -1/2, 3
Determine x so that -5*x**3 + 315*x**2 - 6555*x + 44965 = 0.
17, 23
Factor 338*a**2 + 3588*a + 9522.
2*(13*a + 69)**2
Solve d**2/6 - 487*d/6 = 0 for d.
0, 487
Factor 20*v**2 + 6535*v - 1635.
5*(v + 327)*(4*v - 1)
Factor 75*z**3 - 5595*z**2 + 101493*z + 107163.
3*(z + 1)*(5*z - 189)**2
Factor r**2 + 25*r.
r*(r + 25)
Factor -z**3/5 + 7*z**2/5.
-z**2*(z - 7)/5
Suppose -2*u**2 - 46*u - 120 = 0. What is u?
-20, -3
Factor -2*v**2 - 26*v - 44.
-2*(v + 2)*(v + 11)
Factor 3*s**4 + 633*s**3 + 33699*s**2 + 31815*s - 66150.
3*(s - 1)*(s + 2)*(s + 105)**2
Factor h**3/6 - 4*h**2/3 - 3*h/2.
h*(h - 9)*(h + 1)/6
Determine t so that 3*t**4 - 1680*t**3 + 352800*t**2 - 32928000*t + 1152480000 = 0.
140
Factor 10*q**3 - 2075*q**2 + 107120*q + 54080.
5*(q - 104)**2*(2*q + 1)
Suppose -7*g**3/2 - 3*g**2/4 + 7*g/2 + 3/4 = 0. What is g?
-1, -3/14, 1
Factor 2*f**2/3 - 14*f/3 - 12.
2*(f - 9)*(f + 2)/3
Let -3*x**5 + 10*x**4 + 183*x**3 + 226*x**2 - 576*x + 160 = 0. Calculate x.
-4, 1/3, 1, 10
Suppose -2*k**5 + 216*k**3 - 864*k**2 = 0. Calculate k.
-12, 0, 6
Determine q, given that q**2/4 - 16*q - 33 = 0.
-2, 66
Find t, given that -2*t**3 - 304*t**2 - 11850*t - 22500 = 0.
-75, -2
Factor -4*c**5/9 + 20*c**4/3 - 12*c**3 + 52*c**2/9.
-4*c**2*(c - 13)*(c - 1)**2/9
Factor -r**3/7 - r**2 - 6*r/7.
-r*(r + 1)*(r + 6)/7
Suppose 6*t**2/11 + 144*t/11 - 486/11 = 0. What is t?
-27, 3
Find p, given that -2*p**5/9 + 2*p**4/9 = 0.
0, 1
Find b, given that -b**3 + 47*b**2 - 560*b + 1984 = 0.
8, 31
Determine s, given that -s**2/9 - 65*s/9 + 22/3 = 0.
-66, 1
Factor j**3 + 1244*j**2 - j - 1244.
(j - 1)*(j + 1)*(j + 1244)
Solve -4*k**4 + 36*k**3 - 108*k**2 + 108*k = 0.
0, 3
Factor -z**2/2 - 5*z/2 + 63.
-(z - 9)*(z + 14)/2
Find m, given that 3*m**4/7 + 51*m**3/7 - 237*m**2/7 + 309*m/7 - 18 = 0.
-21, 1, 2
Determine a so that -20*a**5 - 12*a**4 + 28*a**3 + 12*a**2 - 8*a = 0.
-1, 0, 2/5, 1
Factor -5*r**5 + 40*r**4 - 80*r**3 - 90*r**2 + 405*r - 270.
-5*(r - 3)**3*(r - 1)*(r + 2)
Suppose 3*j**5 - 45*j**4 + 204*j**3 - 252*j**2 = 0. What is j?
0, 2, 6, 7
Factor -s**2/2 + 48*s - 1863/2.
-(s - 69)*(s - 27)/2
Factor -3*r**3/5 + 53*r**2 - 606*r/5 + 344/5.
-(r - 86)*(r - 1)*(3*r - 4)/5
What is w in 4*w**2 - 292*w + 840 = 0?
3, 70
Factor 4*k**4/3 + 4*k**3/3 - 4*k**2 - 4*k/3 + 8/3.
4*(k - 1)**2*(k + 1)*(k + 2)/3
Find g, given that -7*g**3 + 178*g**2 - 75*g = 0.
0, 3/7, 25
Suppose 3*i**4/4 - 3*i**3 + 3*i**2 = 0. Calculate i.
0, 2
Solve 4*g**3/9 + 820*g**2/9 + 1624*g/9 = 0.
-203, -2, 0
Find w, given that -w**2 + 121*w + 1452 = 0.
-11, 132
Suppose -n**2 = 0. Calculate n.
0
Solve 16*x**2 - 48*x + 36 = 0.
3/2
Determine s, given that s**3/3 + 22*s**2/3 - 73*s/3 + 50/3 = 0.
-25, 1, 2
Factor 2*j**4/7 + 740*j**3/7 - 4488*j**2/7 + 9008*j/7 - 6016/7.
2*(j - 2)**3*(j + 376)/7
Factor 5*q**2 - 770*q + 29645.
5*(q - 77)**2
Factor k**5 - 6*k**4 + 9*k**3 + 4*k**2 - 12*k.
k*(k - 3)*(k - 2)**2*(k + 1)
Suppose 4*p**4 - 52*p**3 + 176*p**2 - 128*p = 0. What is p?
0, 1, 4, 8
Factor 2*q**5/3 + 436*q**4/3 + 7774*q**3 - 47960*q**2/3 + 24200*q/3.
2*q*(q - 1)**2*(q + 110)**2/3
Solve -3*p**2/4 + 201*p/4 + 270 = 0 for p.
-5, 72
Solve -n**4/7 - 24*n**3/7 + 78*n**2/7 - 80*n/7 + 27/7 = 0.
-27, 1
Factor -2*n**3 + 26*n**2 - 78*n + 54.
-2*(n - 9)*(n - 3)*(n - 1)
Factor 8*v**4 + 52*v**3 - 144*v.
4*v*(v + 2)*(v + 6)*(2*v -