*2/17 + 2*b - 18/17 = 0?
-9, 1
Find o such that 5*o**5 + 25*o**4 - 665*o**3 + 3095*o**2 - 5340*o + 2880 = 0.
-16, 1, 3, 4
Factor -m**4/3 - 35*m**3/3 + m**2 + 103*m/3 - 70/3.
-(m - 1)**2*(m + 2)*(m + 35)/3
Factor -3*d**3/2 - 15*d**2/2 - 9*d.
-3*d*(d + 2)*(d + 3)/2
Find v such that -2*v**2/5 - 114*v/5 - 612/5 = 0.
-51, -6
Factor 4*y**4/7 - 48*y**2/7 + 64*y/7.
4*y*(y - 2)**2*(y + 4)/7
Solve 2*m**2 + 122*m + 660 = 0 for m.
-55, -6
Find v, given that 5*v**4 + 130*v**3 + 1200*v**2 + 4480*v + 5120 = 0.
-8, -2
Factor -h**4/2 + 9*h**3.
-h**3*(h - 18)/2
Factor -2*m**2/5 + 70*m - 2028/5.
-2*(m - 169)*(m - 6)/5
Suppose 2*b**4/7 - 320*b**3/7 + 19200*b**2/7 - 512000*b/7 + 5120000/7 = 0. Calculate b.
40
Factor v**3/4 - 31*v**2/2 - 193*v/4 - 65/2.
(v - 65)*(v + 1)*(v + 2)/4
Factor 7*f**2/5 + 3095*f - 4422/5.
(f + 2211)*(7*f - 2)/5
Suppose 2*r**2/3 - 824*r/3 + 84872/3 = 0. What is r?
206
Solve -2*k**3 + 40*k**2 - 38*k = 0 for k.
0, 1, 19
Factor -4*s**4 - 572*s**3 - 20732*s**2 - 20164*s.
-4*s*(s + 1)*(s + 71)**2
Find j such that j**2 - 721*j - 1446 = 0.
-2, 723
Factor 3*p**2 + 84*p - 279.
3*(p - 3)*(p + 31)
Find l such that -9*l**2 + 7761*l - 2586 = 0.
1/3, 862
Factor -4*c**3 - 12*c**2 - 12*c - 4.
-4*(c + 1)**3
Find n such that -5*n**3/7 + 48*n**2/7 + 75*n/7 + 22/7 = 0.
-1, -2/5, 11
Suppose -6*u**5/13 - 32*u**4/13 - 30*u**3/13 + 12*u**2/13 + 16*u/13 = 0. What is u?
-4, -1, 0, 2/3
Factor -z**2/11 + 175*z/11 - 174/11.
-(z - 174)*(z - 1)/11
Find d such that -5*d**2 + 480*d - 11520 = 0.
48
Suppose i**3/4 - 3*i**2/2 + 5*i/4 = 0. What is i?
0, 1, 5
Solve -2*m**2/13 + 324*m/13 - 13122/13 = 0.
81
Factor -n**3 - 212*n**2 - 421*n - 210.
-(n + 1)**2*(n + 210)
Factor 4*f**3 + 16*f**2 - 284*f + 264.
4*(f - 6)*(f - 1)*(f + 11)
Find x, given that 5*x**4 + 60*x**3 + 255*x**2 + 440*x + 240 = 0.
-4, -3, -1
Let -49*q**4/2 - 259*q**3 + 1230*q**2 + 764*q + 112 = 0. Calculate q.
-14, -2/7, 4
Suppose -8*c**2/7 + c + 1/7 = 0. What is c?
-1/8, 1
Factor 14*i**3 + 6*i**2 - 56*i - 24.
2*(i - 2)*(i + 2)*(7*i + 3)
Factor 3*b**3/4 - 6*b**2 + 39*b/4 - 9/2.
3*(b - 6)*(b - 1)**2/4
Determine z so that -z**3/2 - 8*z**2 - 45*z/2 + 81 = 0.
-9, 2
Suppose -8*r**4/3 + 20*r**3 - 83*r**2/2 + 103*r/6 - 2 = 0. What is r?
1/4, 3, 4
Let -7*j**2/3 + 164*j - 140/3 = 0. What is j?
2/7, 70
Determine l so that 147*l**2 - 147*l - 54 = 0.
-2/7, 9/7
What is q in -2*q**2 + 474*q - 2320 = 0?
5, 232
Factor 2*w**2/11 + 32*w/11 - 34/11.
2*(w - 1)*(w + 17)/11
What is u in -4*u**5 + 248*u**4 - 236*u**3 - 488*u**2 = 0?
-1, 0, 2, 61
Factor -j**4/3 + 2*j**3 + 9*j**2 - 72*j + 108.
-(j - 6)*(j - 3)**2*(j + 6)/3
Factor -2*s**2/7 - 58*s/7 + 60/7.
-2*(s - 1)*(s + 30)/7
Suppose -d**3/12 + 247*d**2/12 - 3782*d/3 - 3844/3 = 0. What is d?
-1, 124
Solve -3*p**2/4 - 33*p/4 - 18 = 0.
-8, -3
Suppose b**3/3 - 43*b**2/2 - 111*b/2 - 67/3 = 0. What is b?
-2, -1/2, 67
Factor m**4/6 - 143*m**3/3 + 20161*m**2/6 + 6864*m + 3456.
(m - 144)**2*(m + 1)**2/6
Find r such that -4*r**5 - 12*r**4 + 4*r**3 + 28*r**2 - 16 = 0.
-2, -1, 1
Solve 14*k**2/9 - 968*k/9 + 46/3 = 0.
1/7, 69
Factor o**5/3 + 4*o**4 + 44*o**3/3 + 70*o**2/3 + 17*o + 14/3.
(o + 1)**3*(o + 2)*(o + 7)/3
Factor g**3 + 111*g**2 - 226*g.
g*(g - 2)*(g + 113)
Suppose 3*t**4 + 3*t**3 - 9*t**2 - 3*t + 6 = 0. Calculate t.
-2, -1, 1
Factor 16*k**2/3 + 4*k/3.
4*k*(4*k + 1)/3
Factor 2*p**2 - 14*p + 20.
2*(p - 5)*(p - 2)
Factor z**5 + 2*z**4 - z**3 - 2*z**2.
z**2*(z - 1)*(z + 1)*(z + 2)
Determine o, given that -10*o**4/7 - 4818*o**3/7 - 579846*o**2/7 + 116162*o/7 = 0.
-241, 0, 1/5
Factor 62*c**4 + 8*c**3 - 62*c**2 - 8*c.
2*c*(c - 1)*(c + 1)*(31*c + 4)
Let -2197*r**5/5 - 3042*r**4/5 - 1404*r**3/5 - 216*r**2/5 = 0. Calculate r.
-6/13, 0
Let -34*t**4 - 880*t**3 - 2310*t**2 - 1280*t + 184 = 0. What is t?
-23, -2, -1, 2/17
Factor b**2/5 - 44*b/5 - 9.
(b - 45)*(b + 1)/5
Factor -3*z**3 - 39*z**2 + 204*z.
-3*z*(z - 4)*(z + 17)
Let 4*x**2 - 1364*x + 1360 = 0. What is x?
1, 340
Solve 270*s**2/11 + 266*s/11 - 4/11 = 0 for s.
-1, 2/135
Solve 5*f**3 + 205*f**2 - 5*f - 205 = 0 for f.
-41, -1, 1
Determine w so that 2*w**2/11 - 4184*w/11 + 2188232/11 = 0.
1046
Suppose -q**2/4 + 1903*q/4 - 1901/2 = 0. What is q?
2, 1901
Factor 4*j**4 + 4*j**3 - 108*j**2 - 324*j - 216.
4*(j - 6)*(j + 1)*(j + 3)**2
What is s in 4*s**5/3 + 40*s**4/3 + 52*s**3/3 - 80*s**2 + 48*s = 0?
-6, 0, 1
Factor 3*m**4/2 + 18*m**3 + 33*m**2/2.
3*m**2*(m + 1)*(m + 11)/2
Factor 465708*t**3 + 1390032*t**2 - 21249*t + 81.
3*(t + 3)*(394*t - 3)**2
Solve -b**4/5 - 4*b**3 - 126*b**2/5 - 196*b/5 + 343/5 = 0 for b.
-7, 1
Find g such that g**3 + 8*g**2 - 9*g = 0.
-9, 0, 1
What is v in -8*v**5/5 - 62*v**4/5 - 72*v**3/5 + 86*v**2/5 + 16*v - 24/5 = 0?
-6, -2, -1, 1/4, 1
Determine i so that -4*i**2 + 6752*i - 2849344 = 0.
844
Solve b**2/5 + 2*b/5 - 3 = 0 for b.
-5, 3
Find t such that 5*t**5 - 220*t**4 + 615*t**3 + 7060*t**2 + 13420*t + 7200 = 0.
-2, -1, 9, 40
Factor 16807*j**5 - 408170*j**4 + 3965080*j**3 - 19258960*j**2 + 46771760*j - 45435424.
(7*j - 34)**5
Suppose -4*b**2 - 160*b - 304 = 0. What is b?
-38, -2
Solve 5*u**4/2 - 540*u**3 + 31240*u**2 - 224640*u + 432640 = 0 for u.
4, 104
Determine d so that -3*d**4 - 1003*d**3 - 1331*d**2 + 335*d + 666 = 0.
-333, -1, 2/3
Factor 4096*o**4 - 16640*o**3 + 1028*o**2 - 16*o.
4*o*(o - 4)*(32*o - 1)**2
Factor -3*d**3/8 - 177*d**2/8 + 363*d/8 - 183/8.
-3*(d - 1)**2*(d + 61)/8
Factor 2*h**2 - 1480*h + 273800.
2*(h - 370)**2
Solve t**2/5 + 24*t/5 + 144/5 = 0.
-12
Let 7*z**3/3 + 1664*z**2/3 - 7252*z/3 + 1936/3 = 0. What is z?
-242, 2/7, 4
Find p such that -4*p**2 - 13796*p + 13800 = 0.
-3450, 1
Factor 3*u**2/5 + 7*u + 22/5.
(u + 11)*(3*u + 2)/5
Factor 4*k**2/7 - 1136*k/7 + 2256/7.
4*(k - 282)*(k - 2)/7
Suppose -x**3/2 + 37*x**2/2 + 19*x = 0. What is x?
-1, 0, 38
Solve -4*c**4/3 + 44*c**3 - 384*c**2 + 1024*c/3 = 0 for c.
0, 1, 16
Solve 3*z**3 + 1530*z**2 = 0.
-510, 0
Suppose 4*z**3 - 172*z**2 + 636*z - 468 = 0. What is z?
1, 3, 39
Factor -k**4/8 + 51*k**3/4 - 2497*k**2/8 - 663*k - 338.
-(k - 52)**2*(k + 1)**2/8
Let a**4/3 + 1072*a**3 = 0. Calculate a.
-3216, 0
Factor 5*a**4 + 750*a**3 + 2220*a**2 + 2210*a + 735.
5*(a + 1)**3*(a + 147)
Suppose 2*w**2/13 + 188*w/13 + 890/13 = 0. What is w?
-89, -5
Factor 2*u**4/3 + 16*u**3 + 160*u**2/3.
2*u**2*(u + 4)*(u + 20)/3
Find t such that -3*t**2 - 15*t + 18 = 0.
-6, 1
Factor 24*s**2/5 - 5*s + 1/5.
(s - 1)*(24*s - 1)/5
Find h, given that -34*h**4/5 + 32*h**3/5 + 36*h**2/5 - 32*h/5 - 2/5 = 0.
-1, -1/17, 1
Solve 2*g**3 - 10*g**2 - 44*g - 32 = 0.
-2, -1, 8
Suppose 26*b**4 - 108*b**3 - 114*b**2 + 20*b = 0. What is b?
-1, 0, 2/13, 5
Find s, given that 3*s**5/4 - 147*s**4/2 - 3141*s**3/4 - 2643*s**2 - 3228*s - 1296 = 0.
-4, -1, 108
Let 2*g**4/7 + 166*g**3/7 + 326*g**2/7 + 162*g/7 = 0. Calculate g.
-81, -1, 0
Solve -2*j**4 + 4*j**3 + 8*j**2 - 4*j - 6 = 0 for j.
-1, 1, 3
Factor 4*w**2 + 508*w + 504.
4*(w + 1)*(w + 126)
Let -g**3/5 + 1741*g**2/5 - 3479*g/5 + 1739/5 = 0. What is g?
1, 1739
Let -2*y**2/7 + 220*y/7 - 6050/7 = 0. Calculate y.
55
Factor -u**5/4 + u**4 - 7*u**2/2 + 17*u/4 - 3/2.
-(u - 3)*(u - 1)**3*(u + 2)/4
Suppose -6*b**5 + 14*b**4 + 84*b**3 - 264*b**2 + 80*b + 192 = 0. Calculate b.
-4, -2/3, 2, 3
Factor -2*t**2 + 62*t.
-2*t*(t - 31)
Factor b**4/2 - 21*b**3/2 - 55*b**2/2 + 2325*b/2 - 1125.
(b - 15)**2*(b - 1)*(b + 10)/2
Solve u**2/7 - 17*u/7 + 16/7 = 0.
1, 16
Solve -36*u**4/5 - 456*u**3/5 - 688*u**2/5 - 312*u/5 - 44/5 = 0.
-11, -1, -1/3
Find p, given that p**2/9 - 1198*p/3 + 358801 = 0.
1797
Factor b**4 + 15*b**3 + 66*b**2 + 116*b + 72.
(b + 2)**3*(b + 9)
Determine k, given that -60*k**4 + 4508*k**3 + 3172*k**2 - 10652*k + 3032 = 0.
-2, 1/3, 1, 379/5
Let 4*x**3 - 8588*x**2 + 17164*x - 8580 = 0. What is x?
1, 2145
Factor 3*f**2 - 399*f + 786.
3*(f - 131)*(f - 2)
Determine m, given that m**2/6 - 5*m/3 + 4 = 0.
4, 6
Factor -3*f**4 + 27*f**3 + 3*f**2 - 315*f.
-3*f*(f - 7)*(f - 5)*(f + 3)
What is s in -25*s**5 - 210*s**4 - 480*s**3 - 160*s**2 = 0?
-4, -2/5, 0
Find a, given that -2*a**5 - 26*a**4 + 28*a**3 = 0.
-14, 0, 1
Let h**2/3 + 31*h/3 = 0. What is h?
-31, 0
Factor q**3 + 108*q**2 + 3381*q + 24010.
(q + 10)*(q + 49)**2
Solve 22*r**2 + 8*r = 0.
-4/11, 0
Factor y**4/6 - y**2/2 - y/3.
y*(y - 2)*(y + 1)**2/6
Find o such that 2*o**2/13 - 6*o/13 - 20/13 = 0.
-2, 5
Let 11*s**5/4 - 27*s