etermine g, given that 8*g**5 + 24*g**4 - 126*g**3 + 104*g**2 - 24*g = 0.
-6, 0, 1/2, 2
Solve c**5/4 + 6*c**4 + 65*c**3/4 + 21*c**2/2 = 0.
-21, -2, -1, 0
Determine z so that -z**4/2 - 5*z**3 + 39*z**2/2 - 2*z - 26 = 0.
-13, -1, 2
Find z, given that 10*z**5/7 + 76*z**4/7 + 18*z**3/7 - 160*z**2/7 + 8*z = 0.
-7, -2, 0, 2/5, 1
Solve -x**4 + 33*x**3/2 - 63*x**2/2 - 320*x - 150 = 0 for x.
-3, -1/2, 10
Determine b so that 2*b**4 - 20*b**3 + 56*b**2 - 48*b = 0.
0, 2, 6
Solve 2*q**3/15 + 1196*q**2/15 - 482*q + 3624/5 = 0 for q.
-604, 3
Factor -3*d**3 - 105*d**2 - 264*d + 13068.
-3*(d - 9)*(d + 22)**2
Find v, given that 3*v**5 - 12*v**4 + 15*v**3 - 6*v**2 = 0.
0, 1, 2
Suppose 5*a**4 + 20*a**3 - 90*a**2 + 100*a - 35 = 0. Calculate a.
-7, 1
Let -2*w**3/9 + 22*w**2/9 - 76*w/9 + 80/9 = 0. What is w?
2, 4, 5
Solve 3*o**2 + 129*o + 468 = 0.
-39, -4
Factor -3*b**2 - 4221*b + 8454.
-3*(b - 2)*(b + 1409)
Solve -f**2 - 58*f - 841 = 0 for f.
-29
Suppose 2*p**5/19 - 210*p**4/19 + 7350*p**3/19 - 85750*p**2/19 = 0. What is p?
0, 35
Determine f so that -3*f**2 + 36*f = 0.
0, 12
Factor -12*q**2 - 3*q/4.
-3*q*(16*q + 1)/4
Factor 2*d**4/13 + 58*d**3/13 + 594*d**2/13 + 2430*d/13 + 2916/13.
2*(d + 2)*(d + 9)**3/13
Find i such that 4*i**4 + 4644*i**3 - 4648*i**2 = 0.
-1162, 0, 1
Factor -2*j**4/9 + 14*j**3/9.
-2*j**3*(j - 7)/9
Factor 4*x**2 + 76*x - 264.
4*(x - 3)*(x + 22)
Let -9*m**4/5 - 12*m**3/5 + 12*m**2/5 = 0. What is m?
-2, 0, 2/3
Let 3*n**5/5 - 3*n**4/5 - 537*n**3/5 + 3939*n**2/5 - 8106*n/5 + 4704/5 = 0. What is n?
-16, 1, 2, 7
Find b such that -5*b**3/4 - 145*b**2/4 + 615*b/2 - 270 = 0.
-36, 1, 6
Factor -2*m**3/9 - 1874*m**2/9 - 1868*m/9 + 416.
-2*(m - 1)*(m + 2)*(m + 936)/9
Find f such that -4*f**5 - 32*f**4 - 24*f**3 + 32*f**2 + 28*f = 0.
-7, -1, 0, 1
What is k in -2*k**2 - 698*k = 0?
-349, 0
Suppose 4*t**2 + 68*t + 120 = 0. What is t?
-15, -2
Find g such that 3*g**2 - 15*g - 42 = 0.
-2, 7
Let -y**4 - 59*y**3 - 490*y**2 = 0. What is y?
-49, -10, 0
Let -x**2/4 + 17*x/2 - 289/4 = 0. What is x?
17
Factor -3*l**4 + 21*l**3 - 36*l**2.
-3*l**2*(l - 4)*(l - 3)
Factor 2*n**4/7 + 2*n**3/7 - 10*n**2/7 + 6*n/7.
2*n*(n - 1)**2*(n + 3)/7
Factor -4*g**3/5 - 8*g**2/5 + 692*g/5 - 264.
-4*(g - 11)*(g - 2)*(g + 15)/5
Suppose -3*g**3/4 + 69*g**2/4 - 513*g/4 + 1215/4 = 0. Calculate g.
5, 9
Factor 5*h**4 + 50*h**3 - 115*h**2 + 60*h.
5*h*(h - 1)**2*(h + 12)
Determine a so that -a**2 - 1611*a - 1610 = 0.
-1610, -1
What is i in 2*i**3 + 31*i**2/2 + 28*i - 8 = 0?
-4, 1/4
Factor 2*w**2/17 + 16*w/17 - 18/17.
2*(w - 1)*(w + 9)/17
Factor -2*v**3/7 + 12*v**2/7 + 8*v/7 - 48/7.
-2*(v - 6)*(v - 2)*(v + 2)/7
Solve -20*l**5 + 175*l**4 - 435*l**3 + 200*l**2 + 80*l = 0.
-1/4, 0, 1, 4
Solve 56*q**5 + 68196*q**4 - 14652*q**3 - 43856*q**2 - 9744*q = 0.
-1218, -1/2, -2/7, 0, 1
Factor -2*q**3 + 460*q**2 - 1366*q + 908.
-2*(q - 227)*(q - 2)*(q - 1)
Let -3*m**2 + 177*m + 756 = 0. What is m?
-4, 63
Factor 3*f**4/2 - 15*f**3/4 + 3*f**2 - 3*f/4.
3*f*(f - 1)**2*(2*f - 1)/4
Suppose -3*f**3 - 78*f**2 + 255*f - 174 = 0. What is f?
-29, 1, 2
Let q**3 + 3*q**2 - 18*q = 0. What is q?
-6, 0, 3
Factor -2*k**3 + 64*k**2 + 66*k.
-2*k*(k - 33)*(k + 1)
Factor -2*b**4/3 - 38*b**3/3 - 32*b**2.
-2*b**2*(b + 3)*(b + 16)/3
Factor -2*k**2/11 - 162*k/11 - 160/11.
-2*(k + 1)*(k + 80)/11
Factor 4*b**3/5 + 26*b**2/5 + 44*b/5 + 16/5.
2*(b + 2)*(b + 4)*(2*b + 1)/5
What is c in 2*c**2/15 + 10*c/3 - 20 = 0?
-30, 5
Solve -3*v**2/2 + 1341*v/2 - 669 = 0 for v.
1, 446
Factor 2*w**5/13 + 6*w**4/13 - 8*w**3/13.
2*w**3*(w - 1)*(w + 4)/13
What is l in -15*l**3 - 20*l**2 + 20*l = 0?
-2, 0, 2/3
Solve -2*k**4/7 + 4710*k**3/7 - 2775362*k**2/7 + 2761242*k/7 + 5541316/7 = 0 for k.
-1, 2, 1177
Factor 2*f**3/5 + 22*f**2/5 + 56*f/5.
2*f*(f + 4)*(f + 7)/5
Let t**4/2 - 11*t**3/2 - 2*t**2 + 22*t = 0. Calculate t.
-2, 0, 2, 11
Let -2*g**4 - 42*g**3 - 78*g**2 - 38*g = 0. Calculate g.
-19, -1, 0
Find t such that 5*t**2 + 230*t + 2520 = 0.
-28, -18
Factor 3*m**3 + 816*m**2 + 56295*m + 109350.
3*(m + 2)*(m + 135)**2
What is k in 2*k**2 - 16*k + 24 = 0?
2, 6
Suppose 140*g**5 - 289*g**4 - 409*g**3 + 638*g**2 + 404*g + 56 = 0. Calculate g.
-7/5, -2/7, -1/4, 2
Find k such that k**5/6 + 5*k**4/6 - 19*k**3/3 - 131*k**2/3 - 395*k/6 - 175/6 = 0.
-5, -1, 7
Solve 5*r**3 - 670*r**2 + 1325*r - 660 = 0.
1, 132
Factor 2*d**2 + 44*d + 80.
2*(d + 2)*(d + 20)
Suppose k**2/3 - 79*k/3 - 582 = 0. What is k?
-18, 97
Suppose 4*k**3 + 28*k**2 - 160*k - 400 = 0. Calculate k.
-10, -2, 5
Factor -3*u**3 - 33*u**2 + 36*u.
-3*u*(u - 1)*(u + 12)
Solve -4*j**5 + 80*j**4 + 176*j**3 + 8*j**2 - 172*j - 88 = 0.
-1, 1, 22
Let -k**3/3 - 10*k**2/3 - 7*k = 0. What is k?
-7, -3, 0
Factor 2*n**3 - 48*n**2 - 18*n + 432.
2*(n - 24)*(n - 3)*(n + 3)
Determine p so that 5*p**5 + 100*p**4 + 465*p**3 + 650*p**2 + 280*p = 0.
-14, -4, -1, 0
Suppose -28*i**4 - 176*i**3 - 20*i**2 + 176*i + 48 = 0. Calculate i.
-6, -1, -2/7, 1
Let -54*h**2/5 + 14*h/5 + 8 = 0. Calculate h.
-20/27, 1
Factor f**4 + 18*f**3 + 113*f**2 + 276*f + 180.
(f + 1)*(f + 5)*(f + 6)**2
Let g**2/4 + 405*g + 164025 = 0. Calculate g.
-810
Factor 3*w**4/7 + 192*w**3/7 + 375*w**2/7 + 186*w/7.
3*w*(w + 1)**2*(w + 62)/7
Factor -a**3 + 44*a**2 - 304*a + 576.
-(a - 36)*(a - 4)**2
Solve t**4/4 + t**3 - 7*t**2/4 - 11*t/2 + 6 = 0 for t.
-4, -3, 1, 2
Factor 2*r**2/7 - 228*r/7 - 230/7.
2*(r - 115)*(r + 1)/7
Suppose 3*l**4/4 + 9*l**3/2 + 9*l**2/4 - 15*l/2 = 0. What is l?
-5, -2, 0, 1
Factor -20*m**3/3 + 148*m**2/3 - 296*m/3 + 32.
-4*(m - 4)*(m - 3)*(5*m - 2)/3
Solve 3*o**3 + 15*o**2 + 12*o = 0.
-4, -1, 0
Factor -4*m**2/7 - 20*m/7 - 16/7.
-4*(m + 1)*(m + 4)/7
Factor -2*n**2 + 8908*n/7 - 2544/7.
-2*(n - 636)*(7*n - 2)/7
Let 4*q**2 + 1156*q + 2296 = 0. What is q?
-287, -2
Suppose -2*c**5/9 + 2*c**4/9 + 4*c**3/3 = 0. What is c?
-2, 0, 3
Let -2*k**2/11 + 72*k/11 - 18 = 0. Calculate k.
3, 33
Suppose f**5/3 - 85*f**4/3 + 2155*f**3/3 - 5025*f**2 + 13680*f - 12996 = 0. Calculate f.
3, 38
Factor -3*u**3 + 66*u**2 + 219*u + 150.
-3*(u - 25)*(u + 1)*(u + 2)
Let 30*i**5/7 - 192*i**4/7 + 402*i**3/7 - 312*i**2/7 + 72*i/7 = 0. Calculate i.
0, 2/5, 1, 2, 3
Let 3*c**3/8 + 261*c**2/8 - 33*c = 0. What is c?
-88, 0, 1
Find b, given that 3*b**4/5 + 51*b**3/5 - 153*b**2 - 1671*b/5 - 858/5 = 0.
-26, -1, 11
Determine t so that 3*t**3/2 - 9*t**2 + 33*t/2 - 9 = 0.
1, 2, 3
Factor 2*l**4 - 4*l**3 - 10*l**2 + 12*l.
2*l*(l - 3)*(l - 1)*(l + 2)
Suppose 2*r**4/5 + 6*r**3 + 26*r**2/5 - 6*r - 28/5 = 0. What is r?
-14, -1, 1
Factor 3*y**4 + 207*y**3 + 3978*y**2 - 2028*y - 474552.
3*(y - 9)*(y + 26)**3
Factor 3*t**3/5 - 78*t**2/5 + 363*t/5 + 1872/5.
3*(t - 16)*(t - 13)*(t + 3)/5
Factor g**3/5 + 7*g**2/5 + 2*g/5 - 8.
(g - 2)*(g + 4)*(g + 5)/5
Suppose 16*j**4/9 - 220*j**3/9 + 728*j**2/9 + 196*j/9 = 0. Calculate j.
-1/4, 0, 7
Suppose z**5/5 - 59*z**4/5 + 58*z**3/5 = 0. What is z?
0, 1, 58
What is g in 4*g**3/5 + 388*g**2/5 + 1920*g + 9216/5 = 0?
-48, -1
Let -12*r**5 - 21*r**4 + 27*r**3 + 39*r**2 - 15*r - 18 = 0. What is r?
-2, -1, -3/4, 1
Determine n, given that -n**4/5 - 4*n**3/5 + 2*n**2/5 + 12*n/5 - 9/5 = 0.
-3, 1
Factor -4*p**2 + 416*p - 10816.
-4*(p - 52)**2
Factor -5*g**4 - 50*g**3 + 515*g**2 + 560*g.
-5*g*(g - 7)*(g + 1)*(g + 16)
Factor -b**4/2 - 48*b**3.
-b**3*(b + 96)/2
Factor -p**3 + 149*p**2 + 302*p.
-p*(p - 151)*(p + 2)
Factor 6*u**2/7 + 150*u/7 + 396/7.
6*(u + 3)*(u + 22)/7
Find f, given that 3*f**5 + 150*f**4 + 2139*f**3 + 6348*f**2 = 0.
-23, -4, 0
Determine p, given that -4*p**5 + 36*p**3 + 16*p**2 - 48*p = 0.
-2, 0, 1, 3
Factor -289*l**5 - 510*l**4 - 157*l**3 + 60*l**2 - 4*l.
-l*(l + 1)**2*(17*l - 2)**2
Solve 2*b**4/3 + 80*b**3/3 + 944*b**2/3 + 960*b + 864 = 0.
-18, -2
Factor 2*p**4/11 + 1794*p**3/11 - 3596*p**2/11.
2*p**2*(p - 2)*(p + 899)/11
Factor 4*c**3 + 40*c**2 + 64*c.
4*c*(c + 2)*(c + 8)
Factor -3*n**3 + 186*n**2 - 2163*n + 7056.
-3*(n - 48)*(n - 7)**2
Factor -4*i**2/7 - 456*i/7 - 12996/7.
-4*(i + 57)**2/7
Factor -k**2 - 592*k - 87616.
-(k + 296)**2
Find m, given that 3*m**3 - 24*m**2 - 33*m + 54 = 0.
-2, 1, 9
Solve -2*r**2 + 78*r - 76 = 0 for r.
1, 38
Determine p, given that -4*p**4/3 + 62*p**3/3 - 86*p**2/3 + 28*p/3 = 0.
0, 1/2, 1, 14
Suppose -4*r**4 + 40*r**3 - 84*r**2 - 16*r + 112 = 0. What is r?
-1, 2, 7
Suppose -5*v**4 + 35*v**3 = 0. What is v?
0, 7
Let 300*o**4 + 