 69*x + 48 = 0. Calculate x.
-1, 2, 16
Factor -2*m**5/3 + 92*m**4/3 - 88*m**3 + 260*m**2/3 - 86*m/3.
-2*m*(m - 43)*(m - 1)**3/3
What is k in 3*k**4 + 531*k**3 - 3840*k**2 + 4464*k + 8832 = 0?
-184, -1, 4
Factor -2*s**2/3 + 22*s/3 - 12.
-2*(s - 9)*(s - 2)/3
Factor 3*b**3/4 - 63*b**2/2 - 837*b/4 - 324.
3*(b - 48)*(b + 3)**2/4
Factor -b**2/8 + 11*b/8.
-b*(b - 11)/8
Let 4*d**4 - 88*d**3 + 660*d**2 - 1872*d + 1296 = 0. Calculate d.
1, 6, 9
Factor -f**4/3 + 7*f**3 + 10*f**2 - 164*f/3 - 88.
-(f - 22)*(f - 3)*(f + 2)**2/3
Factor -2*t**2/7 - 60*t/7 - 16.
-2*(t + 2)*(t + 28)/7
What is h in 3*h**2 + 6084*h + 3084588 = 0?
-1014
Determine t so that 2*t**5/9 + 166*t**4/9 + 106*t**3/3 - 502*t**2/9 - 1304*t/9 - 72 = 0.
-81, -2, -1, 2
Suppose -3*t**4 - 90*t**3 + 1041*t**2 + 25740*t - 245388 = 0. Calculate t.
-26, 11
Let 2*a**2 + 1644*a + 337842 = 0. Calculate a.
-411
Factor 3*j**4 - 189*j**3 + 882*j**2 - 696*j.
3*j*(j - 58)*(j - 4)*(j - 1)
Factor 16*m**4/21 + 1096*m**3/21 + 1572*m**2/7 + 2322*m/7 + 1152/7.
2*(m + 64)*(2*m + 3)**3/21
Find s, given that -s**3/6 - 95*s**2/6 - 1036*s/3 - 6566/3 = 0.
-67, -14
Factor -5*y**5 + 475*y**4 - 11515*y**3 + 11045*y**2.
-5*y**2*(y - 47)**2*(y - 1)
Factor 3*t**3/2 + 424*t**2/3 + 1025*t/6 + 31.
(t + 1)*(t + 93)*(9*t + 2)/6
Determine l so that -3*l**3/4 - 219*l**2/4 - 1185*l/4 + 1407/4 = 0.
-67, -7, 1
Factor 3*t**2 + 288*t + 6912.
3*(t + 48)**2
Find x, given that -3*x**4/5 + 657*x**3/5 - 1299*x**2/5 - 657*x/5 + 1302/5 = 0.
-1, 1, 2, 217
Factor 2*y**3 - 12*y**2 + 64.
2*(y - 4)**2*(y + 2)
Find z, given that z**5/9 + 10*z**4/9 - 25*z**3/9 - 10*z**2/9 + 8*z/3 = 0.
-12, -1, 0, 1, 2
Suppose -14*g**2 - 4*g = 0. Calculate g.
-2/7, 0
Factor -3*x**2/8 - 339*x/4 - 654.
-3*(x + 8)*(x + 218)/8
Factor -8*p**4 + 12*p**3 + 32*p**2 + 12*p.
-4*p*(p - 3)*(p + 1)*(2*p + 1)
Let 2*t**5/11 - 14*t**4/11 + 6*t**3/11 + 38*t**2/11 - 8*t/11 - 24/11 = 0. Calculate t.
-1, 1, 2, 6
Factor 2*w**3 - 108*w**2 - 222*w - 112.
2*(w - 56)*(w + 1)**2
Solve 10*k**2/7 - 384*k/7 + 152/7 = 0.
2/5, 38
Determine u so that -2*u**2/7 + 304*u/7 - 11552/7 = 0.
76
Factor -u**4/2 - 5*u**3/2 + u**2 + 12*u.
-u*(u - 2)*(u + 3)*(u + 4)/2
Factor -l**3/5 - 48*l**2/5 + 151*l/5 - 102/5.
-(l - 2)*(l - 1)*(l + 51)/5
Suppose 2*x**2 - 6008*x + 4512008 = 0. Calculate x.
1502
Factor -r**5 - 54*r**4 + 55*r**3.
-r**3*(r - 1)*(r + 55)
Solve 4*y**2/5 - 1296/5 = 0.
-18, 18
Factor -n**2/4 - 89*n/4 - 87/2.
-(n + 2)*(n + 87)/4
Let -3*y**3 - 203*y**2/2 + 35*y/2 + 17 = 0. Calculate y.
-34, -1/3, 1/2
Suppose d**5/4 - 11*d**4/4 + 17*d**3/4 + 11*d**2/4 - 9*d/2 = 0. What is d?
-1, 0, 1, 2, 9
Factor 2*h**4 - 506*h**3 + 1492*h**2 + 2000*h.
2*h*(h - 250)*(h - 4)*(h + 1)
Factor 2*h**5/3 + 188*h**4/3 + 4226*h**3/3 - 3008*h**2 + 1536*h.
2*h*(h - 1)**2*(h + 48)**2/3
Factor 5*z**5 - 20*z**3 - 10*z**2 + 15*z + 10.
5*(z - 2)*(z - 1)*(z + 1)**3
Suppose 6*k**5/7 + 9*k**4/7 - 27*k**3/7 + 3*k**2/7 + 9*k/7 = 0. Calculate k.
-3, -1/2, 0, 1
Suppose -3*u**2/8 + 9*u/4 - 27/8 = 0. Calculate u.
3
Let 7*h**4/10 - 18*h**3/5 + 33*h**2/10 - 2*h/5 = 0. Calculate h.
0, 1/7, 1, 4
Factor 28*v**4 + 76*v**3 - 24*v**2 - 112*v + 32.
4*(v - 1)*(v + 2)**2*(7*v - 2)
Factor -3*o**3 + 621*o**2 + 1251*o + 627.
-3*(o - 209)*(o + 1)**2
Let v**2/5 - v - 36/5 = 0. Calculate v.
-4, 9
Factor w**2 + 114*w - 351.
(w - 3)*(w + 117)
Determine f, given that 4*f**5 - 28*f**4 + 60*f**3 - 52*f**2 + 16*f = 0.
0, 1, 4
Suppose -4*j**4/7 + 48*j**3/7 + 240*j**2/7 + 256*j/7 = 0. What is j?
-2, 0, 16
Solve 10*p**2/13 + 1204*p/13 + 480/13 = 0.
-120, -2/5
Let 3*a**3/5 + 39*a**2/5 + 36*a/5 = 0. Calculate a.
-12, -1, 0
Suppose -3*y**3/4 + 1053*y**2/4 - 2097*y/4 + 1047/4 = 0. Calculate y.
1, 349
Find w such that -w**5 - 2*w**4 + 4*w**3 + 2*w**2 - 3*w = 0.
-3, -1, 0, 1
Let -4*k**3 + 36*k**2 - 72*k = 0. What is k?
0, 3, 6
Find h, given that -h**5/3 - 65*h**4/3 - 41*h**3 + 193*h**2/3 + 248*h/3 - 84 = 0.
-63, -2, 1
Find j such that -2*j**3 - 14*j**2 - 28*j - 16 = 0.
-4, -2, -1
Suppose -3*u**4 + 12*u**3 + 18*u**2 - 12*u - 15 = 0. Calculate u.
-1, 1, 5
Factor -4*t**2 + 44*t.
-4*t*(t - 11)
Solve -l**5/3 - l**4/3 + l**3 + 5*l**2/3 + 2*l/3 = 0.
-1, 0, 2
Factor -10*l**3 - 115*l**2 - 110*l + 760.
-5*(l - 2)*(l + 4)*(2*l + 19)
Solve -2*a**2 + 432*a = 0.
0, 216
Factor l**3 - 10*l**2 - 11*l.
l*(l - 11)*(l + 1)
Find w such that 5*w**2 - 375*w + 370 = 0.
1, 74
Solve 4*u**3 + 88*u**2 - 16*u - 352 = 0.
-22, -2, 2
Find x, given that -3*x**3/4 - 3*x**2 + 60*x - 144 = 0.
-12, 4
Factor 7*q**3 - 600*q**2 - 2041*q - 534.
(q - 89)*(q + 3)*(7*q + 2)
Factor 5*t**5 - 40*t**3 + 80*t.
5*t*(t - 2)**2*(t + 2)**2
Factor -9*a**2 - 159*a - 102.
-3*(a + 17)*(3*a + 2)
Let -64*r**4 - 68*r**3 + 60*r**2 + 68*r + 4 = 0. Calculate r.
-1, -1/16, 1
Suppose q**3 + 10*q**2 + 24*q = 0. What is q?
-6, -4, 0
Find r such that -4*r**4/3 - 28*r**3 + 60*r**2 - 92*r/3 = 0.
-23, 0, 1
Factor p**3/5 + 38*p**2/5 + 201*p/5 + 288/5.
(p + 3)**2*(p + 32)/5
Factor -2*h**3 - 64*h**2 + 626*h - 560.
-2*(h - 7)*(h - 1)*(h + 40)
Solve -3*j**5 + 12*j**3 - 6*j**2 - 9*j + 6 = 0 for j.
-2, -1, 1
Find p such that 4*p**3 + 308*p**2 - 4*p - 308 = 0.
-77, -1, 1
Find g, given that -2*g**5/3 - 2*g**4 + 44*g**3/3 - 76*g**2/3 + 18*g - 14/3 = 0.
-7, 1
Suppose -n**5 - 1284*n**4 - 412161*n**3 + 3850*n**2 + 1233924*n - 824328 = 0. Calculate n.
-642, -2, 1
Factor -f**3 + 9369*f**2 - 29259387*f + 30459021867.
-(f - 3123)**3
Suppose y**4/4 - 11*y**3/4 + 13*y**2/2 - 4*y = 0. What is y?
0, 1, 2, 8
Find g, given that g**2/3 + 10*g + 176/3 = 0.
-22, -8
Factor 4*m**3 - 60*m**2 + 252*m - 324.
4*(m - 9)*(m - 3)**2
Find b such that 2*b**5/15 - 136*b**4/15 - 2*b**3/15 + 136*b**2/15 = 0.
-1, 0, 1, 68
Let 3*c**2 + 4860*c + 1968300 = 0. What is c?
-810
Solve -7*m**3 - 333*m**2 + 487*m - 147 = 0 for m.
-49, 3/7, 1
Solve s**2/2 - s + 1/2 = 0 for s.
1
Find j, given that 10*j**4 - 2346*j**3 + 138290*j**2 - 81198*j - 54756 = 0.
-2/5, 1, 117
Solve -11*p**4/2 + 59*p**3/4 - 8*p**2 + p = 0 for p.
0, 2/11, 1/2, 2
Find d such that -d**2 - 86*d - 1849 = 0.
-43
Suppose 40*q**2 - 95*q + 30 = 0. What is q?
3/8, 2
Factor 5*c**5 + 140*c**4 - 780*c**3 + 1450*c**2 - 1145*c + 330.
5*(c - 2)*(c - 1)**3*(c + 33)
Determine k, given that k**3/2 - 139*k**2/4 + 17*k + 69/4 = 0.
-1/2, 1, 69
What is a in -3*a**3 - 6*a**2 = 0?
-2, 0
Factor -2*a**2/13 + 268*a/13 - 8978/13.
-2*(a - 67)**2/13
Find o such that 11*o**4/5 + 97*o**3/5 - 128*o**2/5 + 4*o = 0.
-10, 0, 2/11, 1
Factor 3*j**4/2 - j**3/2 - 17*j**2/2 - 19*j/2 - 3.
(j - 3)*(j + 1)**2*(3*j + 2)/2
Suppose 27*h**2 - 354*h + 39 = 0. What is h?
1/9, 13
Factor -2*z**5/9 - 10*z**4/9 - 14*z**3/9 - 2*z**2/3.
-2*z**2*(z + 1)**2*(z + 3)/9
Suppose 2*k**4 + 18*k**3 + 16*k**2 = 0. Calculate k.
-8, -1, 0
What is g in 2*g**2 + 86*g + 240 = 0?
-40, -3
Let 120*h**4 - 483*h**3 + 354*h**2 + 63*h - 54 = 0. What is h?
-3/8, 2/5, 1, 3
Factor -t**2/3 + 5638*t/3 - 7946761/3.
-(t - 2819)**2/3
Let -3*r**5/2 + 135*r**4 - 2412*r**3 - 30135*r**2 + 64827*r/2 = 0. Calculate r.
-9, 0, 1, 49
Factor i**3 + 24*i**2 + 44*i.
i*(i + 2)*(i + 22)
What is o in -5*o**5 - 10*o**4 + 20*o**3 + 10*o**2 - 15*o = 0?
-3, -1, 0, 1
Factor -y**2/2 + 13*y + 87/2.
-(y - 29)*(y + 3)/2
What is o in 6*o**3 + 8*o**2 + 8*o/3 = 0?
-2/3, 0
Solve w**4/11 - 100*w**3/11 + 218*w**2 + 5100*w/11 + 2601/11 = 0.
-1, 51
Factor 4*i**3 - 44*i**2.
4*i**2*(i - 11)
Let 2*k**3 - 624*k**2 + 3690*k - 5508 = 0. What is k?
3, 306
Factor -s**3/5 - s**2/5 + 2*s - 8/5.
-(s - 2)*(s - 1)*(s + 4)/5
Factor -2*f**2/25 + 4*f/25 + 336/25.
-2*(f - 14)*(f + 12)/25
Factor 2*s**3/9 - 4*s**2 + 142*s/9 - 52/3.
2*(s - 13)*(s - 3)*(s - 2)/9
Factor 4*w**2/5 - 7796*w/5 - 1560.
4*(w - 1950)*(w + 1)/5
What is o in -15*o**3 - 125*o**2 - 120*o + 140 = 0?
-7, -2, 2/3
Factor 4*g**2 - 13776*g + 11861136.
4*(g - 1722)**2
Let 3*c**4/5 - 84*c**3/5 - 483*c**2/5 - 396*c/5 = 0. Calculate c.
-4, -1, 0, 33
Factor -5*o**4 - 280*o**3 + 2530*o**2 + 180600*o - 2080125.
-5*(o - 15)**2*(o + 43)**2
Factor c**5/8 - 5*c**4/8 + c**3/2 + 2*c**2 - 4*c + 2.
(c - 2)**3*(c - 1)*(c + 2)/8
Factor -2*g**2 - 846*g.
-2*g*(g + 423)
Find s, given that 4*s**5 - 20*s**4 - 52*s**3 - 28*s**2 = 0.
-1, 0, 7
Determine m so that 28*m**5 + 456*m**4 + 2088*m**3 + 1904*m**2 - 3396*m - 1080 = 0.
-9, -5, -3, -2/7, 1
Factor 5*f**5 - 65*f**4 + 300*f**3 - 640*f**2 + 640*f - 240.
5*(f - 6)